All sophomores at McKinley High are required to select one instrument to play for their music class

All Sophomores At McKinley High Are Required To Select One Instrument To Play For Their Music Class

Answers

Answer 1

The answer is 3/20. By calculating the probability of selecting a female who plays the clarinet out of the total number of sophomores, we can get an accurate representation of the selection of the current sophomore class.

how to calculate probability?

It is calculated by dividing the number of possible outcomes by the total number of possible outcomes.

This can be calculated by taking the number of females who play the clarinet (18) and dividing it by the total number of sophomores (120).

This gives us 18/120= 3/20.

This is the correct answer because it shows the probability of selecting a female who plays the clarinet out of the total number of sophomores. Option 1, 31/120, would show the probability of selecting a female or a clarinet player out of the total number of sophomores.

Option 3, 3/11, would show the probability of selecting a female who plays the clarinet out of the total number of female sophomores.

Option 4, 18/31, would show the probability of selecting a female out of the total number of clarinet players.

To know more about probability visit:

https://brainly.com/question/30034780

#SPJ1


Related Questions

Travis has the following books on his shelf: 6 myster, 5 science, 4 history, and 3 adventure. Travis will randomly choose 1 book to read. What is the probability (in fraction form) that he will choose a mystery book?

Answers

Answer:  The probability that Travis will choose a mystery book is 1/3.

Step-by-step explanation: To find the probability that Travis will choose a mystery book, we need to determine the ratio of the number of mystery books to the total number of books on Travis's shelf.

Travis has 6 mystery books, and the total number of books on his shelf is 6 + 5 + 4 + 3 = 18.

Therefore, the probability (in fraction form) that Travis will choose a mystery book is 6/18.

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 6.

6 ÷ 6 = 1

18 ÷ 6 = 3

So, the simplified fraction is 1/3.

I need helppppppppppppppppp

Answers

Answer:

Step-by-step explanation:

You just need to finish your proof by

adding what you were intending to prove.

m∠ ABC is equal to the m∠GHI.

You are correct so far.

A potato manufacturer make a small bag that holds 2 pounds of potatoes. They want to make a bag for Costco that holds 20 pounds of potatoes. By approximately what factor will the surface area of the bag increase? Round to the nearest tenth.

factor:

Answers

The surface area of the larger bag will increase by a factor of approximately 10.

What is surface area?

The surface area of ​​a three-dimensional object is the total area of ​​all its faces. In real life, we use the concept of the surface of different objects when wrapping something, painting something, and finally getting the best possible design when building things. increase. 

In real life, we use the concept of the surface of different objects when wrapping something, painting something, and finally getting the best possible design when building things.  

This is because the surface area of a three-dimensional object is proportional to the square of its linear dimensions.

Since the linear dimensions of the larger bag are 10 times that of the smaller bag (20 pounds vs. 2 pounds), the surface area of the larger bag will be roughly [tex]10^{2 }= 100[/tex] times that of the smaller bag.

To know more about the object visit: https://brainly.com/question/14964361

#SPJ1

find the value of w.

Answers

Answer:

w = 8

Step-by-step explanation:

[tex] \frac{24}{w + 4} = \frac{w + 4}{6} [/tex]

[tex] {(w + 4)}^{2} = 144[/tex]

[tex]w + 4 = 12[/tex]

[tex]w = 8[/tex]

PLEASE HELP ILL GIVE BRAINLIEST

Answers

Answer: 1 and 5

Step-by-step explanation:

The vertices of a rhombus are located at the coordinates (1, 3), (4, 7), (9, 7),
and (6, 3)

Find the length of the horizontal sides of the rhombus and its perimeter.

Answers

Answer: To find the length of the horizontal sides of the rhombus, we need to find the distance between points (1, 3) and (9, 7), which is the same as the distance between points (4, 7) and (6, 3).

Using the distance formula:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(9 - 1)² + (7 - 3)²]

d = √[64 + 16]

d = √80

d ≈ 8.94

So the length of the horizontal sides of the rhombus is approximately 8.94 units.

To find the perimeter of the rhombus, we need to find the distance between all four vertices and add them up.

Using the distance formula:

d₁ = √[(4 - 1)² + (7 - 3)²] = √25 = 5

d₂ = √[(9 - 4)² + (7 - 7)²] = √25 = 5

d₃ = √[(6 - 9)² + (3 - 7)²] = √16 + 16 = √32 ≈ 5.66

d₄ = √[(1 - 6)² + (3 - 7)²] = √25 + 16 = √41 ≈ 6.40

Perimeter = d₁ + d₂ + d₃ + d₄ = 5 + 5 + 5.66 + 6.40 ≈ 22.06

So the perimeter of the rhombus is approximately 22.06 units.

Step-by-step explanation:

what is the equation of a rational function that has a x-intercept at (6,0), vertical asymptote at x=-3, and horizontal asymptote at y=-1

Answers

[tex]f(x) = (2/3)(x - 6)/(x + 3)[/tex]

Anyone help on this problem will be much appreciated! The population of a culture of the bacterium Pseudomonas aeruginosa is given by p(t) = -1698t^2 + 85,000t + 10,000 where t is the time in hours since the culture was started.

Answers

a. The time at which the population is at a maximum is 25 hours. b. The maximum population is 1,182,500.

What is quadratic function?

A polynomial function of degree 2 is a quadratic function, while one of degree 1 is a linear function. The formula for a quadratic function is f(x) = ax² + bx + c, where a, b, and c are constants and an is not equal to 0. A parabola, a U-shaped curve, is the graph of a quadratic function. Depending on the sign of the leading coefficient, the function's minimum or maximum value is located at the parabola's vertex.

a) The highest value of the population function, which is a quadratic function with a negative leading coefficient, occurs near the parabola's vertex.

Thus, t = -b/2a.

Substituting the values  a = -1698, b = 85,000, and c = 10,000 we have:

t = -85000 / 2(-1698) = 25

Therefore, the time at which the population is at a maximum is 25 hours.

b) To determine the maximum population we substitute the value of t = 25.

p(25) = -1698(25)² + 85,000(25) + 10,000 = 1,182,500

Therefore, the maximum population is 1,182,500.

Learn more about quadratic function here:

https://brainly.com/question/18958913

#SPJ1

Complete the statement. In any given circle, the measure of a(n) Choose... is one-half the measure of the Choose..​

Answers

Answer:

In any given circle, the measure of an inscribed angle is one-half the measure of the central angle that intercepts the same arc.

a box next to the register at tacos and stuff, where cooper works, is filled with different-flavored sauce packets. when a customer asks for some spicy sauce packets, cooper reaches into the box and pulls out a large handful of packets, looking for the spicy ones. here are the flavors he pulls out: mild, mild, spicy, medium, spicy, mild, spicy, super-hot, mild, spicy, super-hot, mild, mild based on the data, what is the probability that the next packet cooper pulls out of the box will be spicy?

Answers

Based on the given data, there are a total of 13 packets and 5 of them are spicy. Therefore, the probability that the next packet Cooper pulls out of the box will be spicy is 5/13 or approximately 0.385 (rounded to three decimal places).

To calculate the probability of the next packet being spicy, we need to know how many packets of each flavor are in the box. Assuming that Cooper doesn't put back the packets he has pulled out, we can count the number of spicy packets and divide it by the total number of packets he pulled out.

In this case, out of the 13 packets he pulled out, 5 were spicy. Therefore, the probability of the next packet being spicy is 5/13, or approximately 0.38, or 38%. However, if the box is refilled with packets of different flavors, this probability may not hold.

To know more about Probability:

https://brainly.com/question/11234923

#SPJ4

Answer: 4/13

Step-by-step explanation: i did this IXL and this was the correct answer

what is the coefficent of x term
5xsquare plus 3x-2=
x/3=

Answers

Answer:

To solve this equation for the coefficient of the x term, we need to first simplify the equation by solving for x. 5x^2 + 3x - 2 = x/3 Multiplying both sides by 3 to eliminate the fraction, we get: 15x^2 + 9x - 6 = x Bringing all terms to one side: 15x^2 + 8x - 6 = 0 Now, we can use the quadratic formula to solve for x: x = [-b ± √(b^2 - 4ac)] / 2a where a = 15, b = 8, and c = -6 x = [-8 ± √(8^2 - 4(15)(-6))] / 2(15) x = [-8 ±

how do you multiply 7(b-5)(b-4) step by step

Answers

To multiply 7(b-5)(b-4), you can follow these steps:

1.

Start by distributing the 7 to the terms inside the parentheses:

7(b-5)(b-4) = 7 * b * (b-4) - 7 * 5 * (b-4)

2.

Simplify each term using the distributive property:

= 7b^2 - 28b - 35b + 140

3.

Combine like terms:

= 7b^2 - 63b + 140

So, the final answer is 7b^2 - 63b + 140.

!!PLEASE HELPPP!! CHECK IF IM RIGHTTT

Answers

Answer:

You are correct

Step-by-step explanation:

please help!!! due tomorrow
(1 and 3 done)​

Answers

The volumes of the figures are 728 cubic meters, 47.14 cubic yards, 1260 cubic centimeters, 5581.71 cubic inches and 860.07 cubic inches

Calculating the volumes of the figures

Figure 1:

The volume is calculated as

Volume = Product of dimensions/3

So, we have

Volume = 13 * 8 * 21/3

Volume = 728 cubic meters

Figure 2:

The volume is calculated as

Volume = πr²h

So, we have

Volume = 22/7 * 5² * 3/5

Volume = 47.14 cubic yards

Figure 3:

The volume is calculated as

Volume = Product of dimensions

So, we have

Volume = 14 * 18 * 5

Volume = 1260 cubic centimeters

Figure 4:

The volume is calculated as

Volume = 1/3πr²h

So, we have

Volume = 1/3 * 22/7 * 12² * 37

Volume = 5581.71 cubic inches

Figure 5:

The volume is calculated as

Volume = 1/3h(a² + b²)

So, we have

Volume = 1/3 * 13.3 * (16 * 6 + 14 * 7)

Volume = 860.07 cubic inches

Other dimensions are not clear


Read more about volumes at

https://brainly.com/question/463363

#SPJ1

in a randomized controlled trial, sometimes patients agree to receive an intervention but later decide to stop taking the medication. moreover, some patients who were assigned to placebo decide to stop taking the placebo pill and buy the drug on their own (even when they do not know that they are taking a placebo pill). when this happens, researchers typically do the analysis according to the original assignment of the treatment regardless of the actual treatment received. what is the name of this procedure to analyze the data?

Answers

The procedure used to analyze the given data is intention-to-treat analysis.

The procedure to analyze data according to the original assignment of the treatment regardless of the actual treatment received is called the intention-to-treat (ITT) analysis. It is considered the gold standard in clinical trial analysis because it preserves the randomization and avoids bias that may arise from differential dropouts or non-compliance. By analyzing all patients according to their randomized group, the ITT analysis provides an unbiased estimate of the treatment effect and better reflects the real-world effectiveness of the intervention.

The intention-to-treat (ITT) analysis is different from other types of analyses because it includes all patients according to their original randomized group, regardless of whether they received the assigned treatment or not. This is in contrast to per-protocol analysis, where only patients who completed the study without any major protocol deviations are included, or as-treated analysis, where patients are analyzed according to the actual treatment received.

Learn more about intention-to-treat analysis;

https://brainly.com/question/28297324

#SPJ4

4. Given the following: X(7, 0), Y(7, 5) and Z(0, 5), calculate the distance or
length of XY, YZ, and XZ. What is the perimeter of the triangle?
a. 6.8 units
b. 11.3 units
c. 15.8 units
d. 20.6 units

Answers

Answer:

To calculate the distance or length of XY, YZ, and XZ, we can use the distance formula: Distance = √[(x2 - x1)^2 + (y2 - y1)^2] For XY: Distance = √[(7 - 7)^2 + (5 - 0)^2] Distance = √[0 + 25] Distance = √25 Distance = 5 units For YZ: Distance = √[(0 - 7)^2 + (5 - 5)^2] Distance = √[49 + 0] Distance = √49 Distance = 7 units For XZ: Distance = √[(0 - 7)^2 + (5 - 0)^2] Distance = √[49 + 25] Distance = √74 Therefore, the length

write the opposite of -4 1/2 and explain how it's related to -4 1/2. Use a number line as a reference in your explanation. Use the number line to think about the location of the number 2 and the number n, where n is greater than 3. write an inequality comparing the opposite of 2 and the opposite of n. explain how the number line shows that your inequality is correct

Answers

We can use the number line to see that 2 and any number greater than 3 are to the right of -4 1/2. By finding the Opposites of 2 and n and comparing them, we can write an inequality that is correct based on the number line.

The opposite of -4 1/2 is 4 1/2. This is because the opposite of a number is the number that is the same distance from 0 on the number line, but in the opposite direction. On a number line, -4 1/2 is to the left of 0, so its opposite, 4 1/2, is to the right of 0.

Looking at the number line, we can see that the number 2 is to the right of -4 1/2, but to the left of 4 1/2. Any number greater than 3, represented by n, is also to the right of -4 1/2.

The opposite of 2 is -2 and the opposite of n is -n. So, the inequality we can write is:

-n < -2

This is because -2 is to the left of -n on the number line. We can see that this inequality is correct on the number line because -2 is closer to 0 than -n, which means that -n is less than -2.

In summary, the opposite of -4 1/2 is 4 1/2, and it is related to -4 1/2 because they are the same distance from 0 on the number line, but in opposite directions. We can use the number line to see that 2 and any number greater than 3 are to the right of -4 1/2. By finding the opposites of 2 and n and comparing them, we can write an inequality that is correct based on the number line.

To Learn More About Opposites

https://brainly.com/question/22882212

SPJ11

The remainders obtained when px³ + qx² + 4x − 2 is divided by x-1 and x + 2 are
equal. Show that 3p - q = -4. If also the remainder is -18 when the polynomial is
divided by x-2, find the value of p and of q.

Answers

Our first equation yields p = 0. We obtain q = 3p = 0 by substituting this in the second equation. Hence, p = q = 0. As a result, the values of p and q are both zero.

what is polynomial ?

A polynomial is a mathematical equation composed of variables and coefficients that is solved using mathematical operations like combination, deletion, multiplication, and quel integer exponents.

given

The result of dividing the same polynomial by x + 2 is

(p[tex]x^{2}[/tex] + (2p-q)x + (5q-2))(x+2) + (q[tex]x^{3}[/tex] + q[tex]x^{2}[/tex]+ 4[tex]x^{2}[/tex]) (12p-9q-2)

p+2q-2 = 12p-9q-2

When we simplify this equation, we obtain:

11p + 2q = 0

=> 3p - q = -4 (by adding 22p to both sides and multiplying both sides by 2)

Now, we also understand that the polynomial, when divided by x – 2, leaves a remainder of -18. Synthetic division or polynomial long division yields the following results:

= (p (x-2)³ + (7p-2q)(x-2) (x-2)² + (18q-8p)(x-2)) - 18

When we compare coefficients, we find:

p = 7p - 2q = 18q - 8p = 0

Our first equation yields p = 0. We obtain q = 3p = 0 by substituting this in the second equation. Hence, p = q = 0. As a result, the values of p and q are both zero.

To know more about polynomials visit:

brainly.com/question/11536910

#SPJ9

Question 3
A circular garden has
Round to the nearest
a circumference of 39.25 feet. Find the approximate diameter of the garden. Use 3.14 for T.
hundredth if necessary.
ft

Answers

Answer:

Sure! To find the diameter of the garden, we can use the formula: circumference = π x diameter Given that the circumference of the garden is 39.25 feet and π is approximately 3.14, we can plug in the values and solve for diameter: 39.25 = 3.14 x diameter diameter = 39.25 ÷ 3.14 diameter ≈ 12.5 feet (rounded to the nearest hundredth) Therefore, the approximate diameter of the garden is 12.5 feet.

Justin ate 1/2 of a pizza and Dan ate 3/8th. In total, how much pizza did they eat?

Answers

Answer: They ate 7/8 of the pizza in total.

Write an equation tomorrow, the statement, the product of -8 and (y+3) is 32. How you can use the equation to reason about the value of Y?

Answers

The equation to model the statement is [tex]-8(y + 3) = 32[/tex] and the value of y is -7.

What is an Equation?

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given statement is the product of – 8 and [tex](y + 3)[/tex] is 32.

Product means the operation is multiplication.

So the equation can be written as,

[tex]-8 (y + 3) = 32[/tex]

Dividing both sides by 8,

[tex]-(y + 3) = 4[/tex]

[tex]y + 3 = -4[/tex]

[tex]y = -4 - 3 = -7[/tex]

Hence the value of y is -7.

Learn more about Solving Equations here:

https://brainly.com/question/29050831

suppose your friends have the following ice cream flavor preferences: 70% of your friends like chocolate (c). the remaining do not like chocolate. 40% of your friends like sprinkles (s) topping. the remaining do not like sprinkles. 25% of your friends who like chocolate (c) also like sprinkles (s). of the friends who like sprinkles, what proportion of this group likes chocolate? (note: some answers are rounded to two decimal places.)

Answers

We can start by creating a table to organize the information:

                  Likes Chocolate (c) Does Not Like Chocolate (~c) Total

Likes Sprinkles (s) 0.25                                                           0.40

Does Not Like Sprinkles (~s)            0.60

Total 0.70                                               0.30                       1.00        

   

We are given that 40% of friends like sprinkles, so we can fill in that cell of the table. We are also given that 25% of friends who like chocolate also like sprinkles, so we can fill in the cell for likes chocolate and likes sprinkles as 0.25.

To find the proportion of friends who like sprinkles and chocolate, we need to divide the number of friends who like both by the total number of friends who like sprinkles:

proportion = likes chocolate and sprinkles / likes sprinkles

proportion = 0.25 / 0.40

proportion = 0.625

So, approximately 62.5% of friends who like sprinkles also like chocolate.

the empirical rule assumes that the distribution of data follows a normal curve. group startstrue or false

Answers

The statement "The empirical rule assumes that the distribution of data follows a normal curve." is True.

The empirical rule, also known as the 68-95-99.7 rule, is a statistical rule that states that for a normal distribution, approximately 68% of the data will fall within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations. This implies that the distribution of data follows a normal curve.

A normal distribution is a type of probability distribution that follows a symmetrical bell-shaped curve. It is also known as the Gaussian distribution and is a continuous probability distribution. The normal distribution is defined by its mean, which is the average of the values, and its standard deviation, which is a measure of the spread of the values from the mean.

To learn more about empirical rule link is here

brainly.com/question/30700783

#SPJ4

ہے
A
Find the value of AB.
13
DE
E
12
AB= [?]
B

Answers

AB thus has a 12 unit length as the triangle ABE is a right triangle with hypotenuse AE and legs AB and 5 in length.

what is triangle ?

A closed triangle is a two-dimensional geometric shape having three straight edges and three angles. The shorter of a triangle's two sides is known as the hypotenuse, while its long sides are known as the triangle's legs. The longest side's opposing angle is referred to as the greatest or "opposite" angle in triangles. Angles are given names based on where they are in relation to the sides. An essential component of geometry is the study of triangles, and there are numerous varieties with distinctive characteristics. An equilateral triangle, on the other hand, has three equal edges and 3 equal angles that are each 60 degrees in length. A right triangle, for instance, has one angle that is 90 degrees in length.

given

The Pythagorean theorem can be used to determine the length of AB.

We can see from the diagram that triangle ADE is a right triangle with hypotenuse AE and legs measuring 12 and 5 (DE - AE = AD = 13 - 8 = 5). Well, here we are:

[tex]AD^2 + DE^2 = AE^2\\AE^2 = 5^2 + 12^2\\AE^2 = 169[/tex]

AE = 13

In a similar way, we can observe that triangle ABE is a right triangle with hypotenuse AE and legs AB and 5 in length. Well, here we are:

AB2 = 169 - 25 when AE2 = AB2 + BE2 132 = AB2 + 5

AB^2 = 144

AB = 12

AB thus has a 12 unit length as the triangle ABE is a right triangle with hypotenuse AE and legs AB and 5 in length.

To know more about triangle visit:

https://brainly.com/question/2773823

#SPJ1

It starts to snow at 10:54 AM it snows for two hours 16 minutes without stopping what time does a snow stop ?


Please help with this problem

Answers

To arrive at this answer, you can add the duration of the snowfall to the starting time to get time 1:10 PM

what is  duration?

Duration refers to the length of time that something lasts or continues. It is the amount of time between the start and end of an event or activity. For example, the duration of a movie could be two hours, the duration of a concert could be three hours,

In the given question,

If it starts snowing at 10:54 AM and it snows for two hours and 16 minutes without stopping, then the snow will stop at 1:10 PM.

To arrive at this answer, you can add the duration of the snowfall to the starting time.

10:54 AM + 2 hours 16 minutes = 1:10 PM

To know more about duration, visit:

https://brainly.com/question/29974796

#SPJ1

Nicole is 1.55 meters tall. At 2 p.m., she measures the length of a tree's shadow to be 30.05 meters. She stands 25.6 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.

Answers

Answer:

approximately 1.81 meters.

Step-by-step explanation:

Let's call the height of the tree "h". We can set up a proportion based on the similar triangles formed by Nicole, her shadow, the tree, and the tree's shadow:

(height of Nicole) / (length of Nicole's shadow) = (height of tree) / (length of tree's shadow)

Substituting the given values, we get:

1.55 / 25.6 = h / 30.05

Simplifying and solving for h, we get:

h = (1.55 / 25.6) * 30.05

= 1.81181640625

Rounding to the nearest hundredth, we get:

h ≈ 1.81 meters

the height of the tree is approximately 1.81 meters.

Find the midpoint of the line segment with end coordinates of:
(−2,−4) and (−1,−5)
Give coordinates as decimals where appropriate.
What is the answer

Answers

Answer:

(- 1.5, - 4.5 )

Step-by-step explanation:

given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here (x₁, y₁ ) = (- 2, - 4 ) and (x₂, y₂ ) = (- 1, - 5 ) , then

midpoint = ( [tex]\frac{-2-1}{2}[/tex] , [tex]\frac{-4-5}{2}[/tex] ) = ( [tex]\frac{-3}{2}[/tex] , [tex]\frac{-9}{2}[/tex] ) = (- 1.5, - 4.5 )

Suppose (-2,4) is (x1,y1)
And (-1,-5) is (x2,y2)
Midpoint =(x1+x2/2, y1+y2/2)
=(-2-5/2,4-1/2)
=(-7/2,3/2)
=(-3.5,1.5)

Problems 13 & 14. Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar. If the triangles are similar, write a valid similarity statement.

Answers

The triangles ABE and CED are similar in figure 1 by SAS similarity criteria whereas in figure 2 the triangles PST and RPQ are not similar.

What is similar triangle?

The triangles are similar if all angles in one triangle are congruent to corresponding angles in other triangle and sides are proportional. There are different criterias for similarity of triangles namely SSS, SAS, ASA/AAS and RHS. According to the criteria/rule

SSS(SIDE-SIDE-SIDE):triangles are similar, if all three sides of one triangle are proportional to the three sides of another triangle.

SAS(SIDE-ANGLE-SIDE):The b are similar if two sides are proportional and an angle included  is congruent to two sides and included angle of another triangle.

ASA(ANGLE-SIDE-ANGLE):The triangles are similar if two angles are equal and an side between the angles is proportional  to the two angles and side between the angles of another triangle.

Q13) Consider ΔABE and ΔCED ,

∠AEB = ∠CED = 90°

and,

AE=21 units ;BE= 26+16=42 units

CE=16 units ; ED=32 units

and

∴ Sides are proportional

Hence ΔABE is similar to ΔCDE by SAS criteria.

Q14)Consider triangles ΔPQR and ΔPST,

Given that ∠QPT=42°, and PR bisects ∠QPT

∴∠QPR=∠RPT=21°

Given that ∠PTS=102°,

In ΔPST, by angle sum property of triangle:

∠SPT+∠PTS+∠TSP=180°

21 + 102 + ∠TSP=180°

∠TSP=180° - 102 -21

∠TSP=57°

Given that ∠PRQ=58°

In ΔPRQ, by angle sum property of triangle:

∠RPQ+∠QRP+∠PQR=180°

21 + 58 + ∠PQR=180°

∠PQR=180°- 58 - 21

∠PQR=101°

In  ΔPRQ the three angles are 21°,101° and 58° whereas in ΔPST the three angles are 21°,102° and 57°. As the angles are not congruent, the triangles are not similar.

To know more about similar triangle visit:

https://brainly.com/question/14285697

#SPJ1

You estimate that it requires fifty minutes to serve 85 customers through a cafeteria line. If your normal lunch crowd averages 200 customers, about how much time will it take for the lunch crowd to go through the cafeteria line (assuming a constant flow of customers)? To the nearest minutes​

Answers

Answer:

If 85 customers can be served in 50 minutes, then we can find the number of minutes per customer by dividing 50 by 85: 50 minutes / 85 customers ≈ 0.588 minutes per customer To estimate the time required for 200 customers, we can multiply the time per customer by the number of customers: 0.588 minutes per customer x 200 customers ≈ 117.6 minutes Rounding to the nearest minute, we can estimate that it will take about 118 minutes for the lunch crowd of 200 customers to go through the cafeteria line.

a cross-country course is in the shape of a parallelogram with a base of length 7 mi and a side of length 6 mi. what is the total length of the cross-country course?

Answers

The total length of the parallelogram-shaped cross-country course is equal to 26 miles.


We can calculate the total length of the cross-country course using the formula for the perimeter of a parallelogram, which is twice the sum of the lengths of its adjacent sides. In this case, the adjacent sides are the base of length 7 mi and the side of length 6 mi.

So, we can find the total length by first finding the sum of these two sides:

7 mi + 6 mi = 13 mi

Then, we can multiply this sum by 2 to get the total length:

2 x 13 mi = 26 mi

Therefore, the total length of the cross-country course is 26 miles.

To know more about perimeter of a parallelogram, refer here:

https://brainly.com/question/30920198#

#SPJ11

Other Questions
When there has been a change in accounting principles, but the effect of the change on the comparability of the financial statements is not material, the auditor should:a.Not refer to consistency in the auditor's report.b.Explicitly concur that the change is preferred.c.Refer to the change in an emphasis-of-matter paragraph.d.Refer to the change in the opinion paragraph. Are 2 and 32 like radicals? Can the sum be simplified? how does matter and energy move from one ecosystem to another If the block of wood is originally prior to the collision is at rest at the edge of a frictionless table of height 1.00 m, how far away Ihorizontally away from the table's edge does the wood-and-bullet combination land? mobile applications tend to employ which underlying model or structure for managing navigation through an application? group of answer choices event loop queue list stack Which of the following tables represents a linear relationship that is also proportional?x 1 2 5y 1 0 1x 2 1 0y 1 0 1x 2 1 0y 4 2 0x 4 2 1y 2 0 3please be frl!! 9 The circumference of a circle is about 124 inches. What is the APPROXIMATE radius of the circle?A. 20 inB. 40inC. 50 inD. 60 in The table below summarizes some of the characteristics of the Solar System's planets.Orbital Period(Earth years)OC.AverageAveragePlanet Orbital Radius Orbital Speed(km)(km/s)150 million29.8778 million13.1228 millionMercury58 millionNeptune 4,515 millionSaturn1,427 millionUranus2,871 millionVenus108 millionOD.EarthJupiterMars24.147.95.439.656.8035.0Based on the information in the table, which of the following statements is true?OA. The closer a planet is to the Sun, the slower it moves on its orbital pathCOB. The farther a planet is from the Sun, the slower it moves on its orbital path.There is no relation between orbital radius and orbital period.There is no relation between orbital speed and orbital radius. "Can lead towards progress" justify in 10 points. what is (56 3/4+ 1 3/8)+ 1 1/5 Who would most likely prefer to use a text HTML editor over a WYSWYG editor to create web pages a nurse has just administered medication via an orogastric tube. what is the priority nursing action following administration? 5/6 es mayor o menor que 5/2? What would you predict would happen if hunting were discontinued for bighorn sheep in a large population? a. There would be a large amount of gene flow between the population where hunting was not allowed and nearby populations where hunting was still allowed. b. Over time, we could see an increase in the H1 allele frequency. c. Genotype frequency of H2H2 and H1H2 would increase. d. There would be a new mutation for large horns because the females would prefer to mate with males with large horns. e. We would only see genetic drift, but not evolution by natural selection on horn size. What kind of an advocacy group might focus on helping people who are experiencing homelessness? a PAC a 527 a nonprofit organization a for-profit businessplease hurry!!!!! timed quiz!!!!!! New slides can be added to a presentation by _____.selecting the new slide option from the Insert menu Aclicking in the slide view Bclicking on the new slide icon Cselecting the new slide option from the Slide Show menu DRemember: This is a multi select answer write a recursive function that has one parameter which is a size t value called x. the function prints x asterisks, followed by x exclamation points. do not use any loops. do not use any variables other than x. which of the following statements reflects the argument against a discrete emotion system? which of the following statements reflects the argument against a discrete emotion system? there are discrepancies between the elements of the papez circuit and broca's limbic lobe. structures involved in emotion are not involved in other functions. solid evidence indicates that some structures involved in emotion are also involved in other functions. there are clear one-to-one relationships between the structure and function of the elements of the papez circuit. what relationship there is between salinity and light transmittance. a general rule relating the capacity of a specific animal's digestive system to provide adequate access to substrates for biosynthesis of cellular components as well as energy molecules needed for atp production is that the animal should have access to