Answer
0.975 is the probability value
Step-by-step explanation:
We start by getting the z score of 86
z-score = (x - mean)/SD
z-score = (86-98)/6 = -12/6 = -2
So we want to find the probability of z greater than or equal to 2
We shall be using the standard normal distribution table here
We have the answer as;
0.975
Write −0.39¯¯¯¯¯ as a fraction in simplest form.
Answer:
-0.3999... = -⅖
-0.393939... = -13/33
Step-by-step explanation:
Only ones I could think of.
Answer:
-39/100
Step-by-step explanation:
What is the area of an equilateral triangle with the base of 8 cm? Round your answer to the hundredths place.
Step-by-step explanation:
[tex] \frac{{x}^{2} \times \sqrt{3}}{4} [/tex]
for x=8, area=16*root(3)
Answer:
Let's find the height:
Half of 8 is 4.
4^2 + 8^2 = 80
80(lets find the square root of 80): 8.944 ^2 = 79.995136 close enough to 80
Your new height is 8.944.
8 x 8.944 = 71.552, 71.552 x 1/2 (basically just dividing by 2) = 35.776 rounded would be = 35.78 cm^2
Formula of area of a triangle:
B(base)H(height) x 1/2(basically just dividing by 2)
In this case 8 is your base and 8.944 is your height.
The surface area of a sphere of radius 5 cm is five times the area of the curved surface of a cone of radius 4 cm. Find the height and the volume of the cone.
The height of the cone is 24.6cm and the volume of the cone is 1/3 * pi * 4^2 * 24.6 = 268.08cm^3
We can start by using the formulas for the surface area of a sphere and the curved surface area of a cone. The surface area of a sphere is given by 4 * pi * r^2, where r is the radius of the sphere. The curved surface area of a cone is given by pi * r * l, where r is the radius of the base of the cone and l is the slant height of the cone.
Given that the surface area of the sphere is five times the area of the curved surface of the cone, we can write the following equation:
4 * pi * (5^2) = 5 * pi * r * l
We can then solve for the slant height l of the cone:
l = (4*5^2) / r
Given that the radius of the cone is 4 cm, we can substitute this into the equation and solve for l:
l = 100/4 = 25cm
The volume of the cone is 1/3 * pi * r^2 * h, where r is the radius of the base and h is the height of the cone.
As we know the slant height and radius of the cone, we can use the Pythagorean theorem to find the height of the cone:
h = sqrt(l^2 - r^2) = sqrt(25^2 - 4^2) = sqrt(625 - 16) = sqrt(609) = 24.6cm
Therefore, the height of the cone is 24.6cm and the volume of the cone is 1/3 * pi * 4^2 * 24.6 = 268.08cm^3
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Identify which form is currently written in and then write each equation in standard form.Identify the y-intercept
y=-3x(x+2)
Answer:
Its in standard form I think. Y intercept is 0,0
Step-by-step explanation:
Type the correct answer in the box.
The number of guests per month at a large resort is given in the table below, where f(x) is the number of guests, in hundreds, x months since the beginning of the year.
Use the data in the table to create the standard form of the function that models this situation, where a, b, and c are constants.
x 0 2 4 6 8 10
f(x) 10 15 18 19 18 15
f(x)=ax^2+bx+c
Answer:
It appears that you are trying to find a quadratic function in standard form that models the number of guests at the large resort as a function of the number of months since the beginning of the year.
To do this, you can use the given data points to solve for the constants a, b, and c in the standard form of the quadratic function f(x) = ax^2 + bx + c.
To find the values of a, b, and c, you will need to have at least three data points. You can then use these data points to solve a system of three equations with three variables.
For example, using the data points (0, 10), (2, 15), and (4, 18), you can set up the following system of equations:
f(0) = 10 = a(0)^2 + b(0) + c
f(2) = 15 = a(2)^2 + b(2) + c
f(4) = 18 = a(4)^2 + b(4) + c
Solving this system of equations will give you the values of a, b, and c that you can use to write the standard form of the quadratic function that models the data.
I hope this helps! Let me know if you have any questions or need further assistance.
Step-by-step explanation:
In an Arlington, NY school, the heights of the population of girls are normally distributed with a mean of 63 inches and a standard deviation of 2 inches. If there are 450 girls in the school, determine how many of the girls are shorter than 60 inches. Round the answer to the nearest integer
Answer:
Number of girls shorter than [tex]60[/tex] inches are [tex]301[/tex].
Step-by-step explanation:
Given: The heights of the population of girls in an Arlington, NY school follows a normal distribution.
Mean[tex]=63[/tex]
Standard deviation[tex]=2[/tex]
Total number of girls[tex]=450[/tex]
Now using the formula,
Standard normal variant, [tex]z=\frac{x-mean}{standard deviation}[/tex]
Now, substitute the values and replace [tex]x[/tex] by [tex]60[/tex]
So. [tex]z=\frac{60-63}{2}[/tex]
[tex]z=-\frac{3}{2}[/tex] or [tex]-1.5[/tex]
Now, probability of girls shorter than [tex]60[/tex] inches
[tex]p(z>-1.5)=0.668[/tex] look up the value in the normal distribution table
Therefore, number of girls shorter than [tex]60[/tex] inches
[tex]=0.668[/tex]×[tex]450[/tex]
[tex]=301[/tex]
Help me
Please help me with both issues
Using multiplication as a mathematical operator, Kareem will 864 more cards and Nicole will get 24 more cards
What is MultiplicationMultiplication is an arithmetic operation in which a number (known as a multiplicand) is multiplied by another number (known as a multiplier) to produce a product.
In this problem, we will need to use of some mathematical operators to solve the problem
1.
He currently has 216 cards, but he needs 15 sets of cards.
1 set of card = 72 cards
Let's calculate the number of sets he currently has.
1 set of card = 72 cards
x set = 216 cards
cross multiply both sides and solve for x.
x * 72 = 216 * 1
x = 216 / 72
x = 3 sets
He currently has 3 sets of cards.
Since he wants 15 sets of cards, we will need 12 more set of cards.
The number of cards can be calculated by multiplying 12 by 72
Number of cards = 12 * 72 = 864
He needs 864 more cards.
2.
1 set of card = $27
1 set = 72 cards
But she's bringing $9 to join, we can calculate the ratio of cards she will get.
1 / 27 = x / 9
x = 9 / 27
x = 1/3
She will get 1/3 of the cards bought which will be
72 * 1/3 = 24 cards
She will get 24 cards
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10
y
∝
1
√
x
If
y
=
5
when
x
=
36
find,
y
when
x
=
4
Answer:
y= 3
Step-by-step explanation:
when y = 5 x= 36
because y = 1[tex]\sqrt{x}[/tex]
so y = 1+ 4
so y= 5
so when x= 4
y = 3
How do you find the domain and range of a function x 4?
The domain of x=4 is (−∞,∞) and range is {y|y=4} .
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
(−∞,∞)
{x|x ∈ R}
y=4
is a straight line perpendicular to the y-axis, which means that the range is a set of one value {y|y =4}
Set-Builder Notation:{y|y =4}.
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
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4ft 5 ft 3ft 5ft please help me i dont know
the answer
83.2 square feet is the area of the figure.
What is Three dimensional shape?A three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The given figure is a cone with radius 3 ft and height 5 ft.
We need to find the area of cone=A=πrl+πr²
where l is √r²+h²
A=πr(r+√r²+h²)
=π×3(3+√3²+5²)
=3π(3+√34)
=3×3.14(3+5.83)
=3×3.14(8.83)
=83.2 square feet
Hence, 83.2 square feet is the area of the figure.
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The table shows the heights y (in centimeters) of a plant after x weeks. Use the table to complete the statements.
x 0
4
8
y 17 29 41
hey! please help i’ll give brainliest
Answer:
when the verbi is taking place, answer 1
Step-by-step explanation:
this is something you will just have to memorize, but the next two answers are both relating to the person, or who and how many are talking, the last option is describing an adverb, or a word that describes a verb. remember that a verb is the action, it has nothing to do with who did it or how it was done, those are described elsewhere
if you have any questions, leave them in the comments and i will try to answer them, if this helped, pls give brainliest
Help!!! Please just answer the question. Thank you!
Let’s compare two different raffles to see which ticket you should buy?
A. Raffle 1: 800 raffle tickets are sold $2.00 each. There is one gran prize for $450 and two consolation prizes of $100 each that will be awarded. What is the expected value of one ticket?
Answer:
I only see one raffle, but the expected value of one ticket is $2. (I think)
Step-by-step explanation:
Have a nice day!
The expected value E(x) of 1 ticket is $0.40.
How to calculate the total amount?To calculate the total amount by the formula;
Amount = Ticket x Value
Raffle 1
Given;
Tickets = 800
Value = $2 per ticket
Grand ticket = $450 ...for 1
consolation =$100.. for 2
We need to find the expected value of each ticket;
First, we have to calculate the total amount of the 800 tickets
Amount = Ticket x Value
Amount = 800 x 2
Amount = 1600
Next, we have to calculate the total amount of the prizes
Amount = Ticket x Value
Amount = 450 x 200
Amount = 650
The expected value E(x) of 1 ticket is calculated:
E(x) = 650 / 1600
E(x) = $0.40
Thus, the expected value E(x) of 1 ticket is $0.40.
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Why is the 4th interval called perfect?
The 4th interval is called perfect
The perfect fourth interval consists of two notes with five steps distance.
The 4th interval is called perfect
The perfect fourth interval consists of two notes with five steps distance. For example, C to F note will result in this musical interval. The perfect fourth include one more semi-step compared to the major third and two semi-steps less compared to the perfect fifth .
The reason for the name perfect goes back to the Medieval. The unison, fourth, fifth and octave were considered most consonant and therefore were given the name perfect. Perfect fourth is “perfect” in the sense that is almost sounds as the unison interval. The perfect fourth interval is abbreviated (an alternate spelling is augmented third).
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when did u guys start anime? (If you watch it) me I started 2020~(I watched 7 animes by now i know very little but i can't really watch much cause im always busy)
Answer:
Okay I think you just want to know when I started watching anime. I started watching in 2016/2017.
Step-by-step explanation:
NEED HELP ILL GIVE BRAINLIEST!!!!
Dividing mixed numbers^^
Answer:
7) 35/22
8) 45/22
9) 7/5
10) 41/45
How many zeros are at the end of the product $25 \times 240$?
Answer: There are three 0s
240 x 25 = 6000 and there are three 0s in 6000
−4 1 + 2/3 × 3/5 ÷(−2/5 )
the answer to −41 + 2/3 × 3/5 ÷(−2/5 ) is -42
A card is picked at random from a standard deck of cards. What is the sample space for this experiment if you were trying to find P(face card)? a. Sample space = 12 b. Sample space = c. Sample space = d. Sample space = 52
The sample space of the experiment is 52.
What is probability?The possibility that an event will occur among all potential events is known as probability. It ranges from 0 to 1. The probability is calculated by dividing the number of things by all of the items. Population includes the sample. When studying the entire population is challenging, it is studied.
52 cards in a deck
There are 12 face cards.
The experiment needs a sample space of 52 to find the face cards.
Given that a regular deck of cards is available.
The sample space required for the experiment to determine the probability of face cards must be found.
A face card may or may not be revealed when we pull a card from the deck. So, in order to rule out the possibility that a face card is present at the end of the deck, we must draw every card from a regular deck.
52 samples are therefore required for the experiment.
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IN THE RECTANGLE BELOW, SOLVE FOR X GIVEN THAT a=51 and ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
x = 25.5 degrees
Step-by-step explanation:
x is part of an isosceles triangle.
Since a is 51, the supplement (& biggest angle in the x isosceles) is going to be 180 - 51 = 129.
That leaves 51 for the rest of the angles, which we have to divide by 2.
51 / 2 = 25.5 degrees
in macy's department store, every item has a 30% discount or markdown. If the original price of a pair of Adidas sneakers cost $140, how much would the final price of the sneaker be after the discount is taken off
$98 is the final price of the sneaker be after the discount is taken off
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that in macy's department store, every item has a 30% discount or markdown.
The original price of a pair of Adidas sneakers cost $140
We need to find the final price of the sneaker be after the discount is taken off
Let us find 30% of 140
Convert 30% to decimal value by dividing with 100
30/100×140
0.3×140=42
So 30% of 140 is 42.
After removing discount the amount will be 140-42=98
Hence, $98 is the final price of the sneaker be after the discount is taken off
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please help fast
A=___
b=___
c=___
Solve for θ and round your answer to the nearest degree.
θ =___ degrees
9514 1404 393
Answer:
a = -11b = 13c = 17θ = 93°Step-by-step explanation:
║u║ = √((-2)²+3²) = √13
║w║ = √(4²+(-1)²) = √17
u·v = (-2)(4) +(3)(-1) = -8-3 = -11
Then the formula for cos θ gets filled in as ...
[tex]\cos\theta=\dfrac{-11}{\sqrt{13}\cdot\sqrt{17}}\\\\\theta=\arccos{\left(-\sqrt{\dfrac{121}{221}}\right)}\approx\boxed{93^{\circ}}[/tex]
a = -11b = 13c = 17Solve the following system of equations: −2x + 3y = 7 y = 3x + 7 (−5, −1) (−2, 1) (−1, 4) (1, 3)
Answer:
(-2, 1)
Step-by-step explanation:
−2x + 3y = 7
y = 3x + 7
Since the second equation is already solved for y, we can use the substitution method. Substitute y of the first equation with 3x + 7 and solve for x.
-2x + 3y = 7
-2x + 3(3x + 7) = 7
-2x + 9x + 21 = 7
7x = -14
x = -2
Now substitute x in the second equation with -2 and solve for y.
y = 3x + 7
y = 3(-2) + 7
y = 1
Answer: (-2, 1)
What is h?
NO LINKS!! I repeat NO LINKS!! Keep them to your self
Answer:
120°
Step-by-step explanation:
The total sum of the interior angles of a decagon is 1440°
Of the teacups in Isabella's Tea Shop, 1/3 are indigo and another 1/4 are orange. What fraction of the teacups are either indigo or orange?
The fraction of the teacups that are either indigo or orange is 7/12.
What is a fraction?A fraction refers to a part of a whole number. It is a proportional value.
A fraction is a quotient that results from a division operation when the numerator is divided by the denominator.
In a proper fraction, the numerator is smaller than the denominator. This is not the case with improper fractions where the numerator is larger than the denominator.
There are complex, proper, and improper fractions.
The fraction of teacups that are indigo = 1/3
The fraction of teacups that are orange = 1/4
The fraction that are either indigo or orange = 7/12 (1/3 + 1/4)
Thus, the fraction or proportion of the Tea Shop's teacups that are either indigo or orange is 7/12.
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50 points plzzzzzzz hurry
Triangles A B C and X Y Z are shown.
Which would prove that ΔABC ~ ΔXYZ? Select two options.
StartFraction B A Over Y X = StartFraction B C Over Y Z EndFraction = StartFraction A C Over X Z EndFraction
StartFraction B A Over Y X = StartFraction B C Over Y Z EndFraction , angle C is-congruent-to angle Z
StartFraction A C Over X Z EndFraction = StartFraction B A Over Y X EndFraction , Angle A is-congruent-to Angle X
StartFraction B A Over Y X EndFraction = StartFraction A C Over Y Z EndFraction =
StartFraction B C Over X Z EndFraction
StartFraction B C Over X Y EndFraction = StartFraction B A Over Z X EndFraction , Angle C is-congruent-to angle X.
Answer:
The answer is 3
Step-by-step explanation:
I hope this help you!! I'm sorry If it wrong..
Have a nice day! <3
Answer:A and C
Step-by-step explanation:
saw the answers
An angle measures 16° more than the measure of its complementary angle. What is the measure of each angle?
Answer:
53° and 37°
Step-by-step explanation:
x + (x - 16) = 90
2x - 16 = 90
2x = 106
x = 53
x = 53
x - 53 = ?
90 - 53 = 37
53 - 37 = 16
75 Points!
A linear relationship is shown in the table.
Time (hours) 2 4 6 8
Distance (miles) 4 8 12 16
Is the linear relationship also proportional? Explain.
A. No, the constant of proportionality is 2.
B. Yes, the constant of proportionality is 2.
C. No, there is no constant of proportionality.
D. Yes, there is no constant of proportionality.
Answer:
B. Yes, the constant of proportionality is 2.
Step-by-step explanation:
Given:
A linear relationship is shown in the table.
Time (hours) 2 4 6 8
Distance (miles) 4 8 12 16
Is the linear relationship also proportional? Explain.
A. No, the constant of proportionality is 2.
B. Yes, the constant of proportionality is 2.
C. No, there is no constant of proportionality.
D. Yes, there is no constant of proportionality.
Solve:
To know if a linear relationship is proportional, all we have to find out is if after we divide distance by time and if all equal the same. Ex: 4/4=1,3/3=1. As we can see all are equal to 1.
Let's see the table:
Time (hours) Distance (miles)
2 4
4 8
6 12
8 16
The formula for it is 'k=y/x'
where;
k: constant of proportionality
y and x are two quantities that are directly proportional to each other.
Also means;
y = Distance
x = Time(Hours)
Time (hours) Distance (miles)
2 4 4/2=2
4 8 8/4=2
6 12 12/6=2
8 16 16/8=2
As you see all equal to 2. It a constant. Also means that;
Yes, the linear relationship is proportional and the constant of proportionality is 2.
Answer: B. Yes, the constant of proportionality is 2.
RevyBreeze
(PLEASE HELP)
What is the sum of the values of luann’s three cards?
Answer:
the sum of the values should be -14
Step-by-step explanation:
-12+3-5=-14
caleb earned 15 dollars on monday and 25 dollars on saturday when he raked his neighbors yard. on sunday he gave 10 percent in the offering at church. how much did he give away.
15 + 25 = 40
10% of 40 = 4
Therefore, Caleb gave $4 to the church!
Hope this helps :D