Answer:
60cm
Step-by-step explanation:
given:
focal length (f) = 20cm
image height (v) = ½u
object height (u) = ?
(1÷v) + (1÷u) = (1÷20)
(1÷(½u)) + (1÷u) = (1÷20)
(2÷u) + (1÷u) = (1÷20)
(3÷u) = (1÷20)
u = 20 × 3
u = 60cm
Mr. Wilson compares the quiz scores of her first-period math class and her second-period math class.
The third quartile of her second-period class is ______ more than the third quartile of her first-period class.
Answer:
and do you know the answer to this one
A solid with volume 12 cubic units is dilated by a scale factor of 3. What is the new volume?
In a bag of candy, Marsha found that there were 7 red, 8 blue, 5 yellow, and 9 greens pieces of candy. Marsha put all of the pieces of candy back in the bag, and drew one piece of candy out.
Part A:
Complete the following chart to determine the probability that Marsha drew each of the following pieces of candy.
Part B:
Marsha now wishes to determine compound probability. Complete the following chart to determine the probability that Marsha drew each of the following pieces of candy.
If you cannot see, zoom in. Don’t answer if you don’t know the answer. Whoever answers correctly will get Brainliest!
Answer:
Step-by-step explanation:
1) find the total candies
7 + 8 + 5 + 9 = 29
2) a probability can be expressed with a fraction whose denominator is the total candies, while the numerator represents the candies that we want to find
- red = 7/29
- blue = 8/29
- yellow = 5/29
- green = 9/29
3) compound probability
(red + blue)/29 = 15/29
(yellow + green)/29 = 14/29
(blue + yellow + green)/29 = 22/29
lex has $1,780.80 in his savings in his saving account that he opened 6 years ago his account has an annual interest rate of 6.8% compounded annually how much money did lex use to open his savings
Answer:
To find the principal, P we can use the same formula, A=P(1+rn)nt. We have the balance of the account, A, after 6 years, $1,780.80. The interest rate, r, is 6.8% (or 0.68 as a decimal) and is compounded annually, so n=1. The time, t, is 6, since we know he opened his account 6 years ago. Plug in the known values into the formula and solve for the missing variable, P.
Step-by-step explanation:
1,780.80 = P (1+0.0681 divided 1^(6)
1,780.80= 1.484P
1,200=P the principal amount Lex used to open his account 6 years ago
What is the value of the expression below when x=2?
8x^2 +6x-8
8x
2
+6x−8
When we evaluate the expression 8x² + 6x - 8 in x = 2, we will get the value 36.
What is the value of the expression when x = 2?Here we need to evaluate the following expression:
8x² + 6x - 8
in x = 2.
Evaluating means that we need to replace the variable by the given number. Replacing the "x" by 2, we will get:
8*2² + 6*2 - 8
8*4 + 12 - 8
8*3 + 12
24 + 12 = 36
When x = 2, the expression is equal to 36.
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In a chess club the probability that Shaun will beat Mike is 3/8 .
The probability that Shaun will beat Tim is 5/7 .
(Assume all the games are independent of one another)
If Shaun plays 1 game with Mike and then 1 game with Tim, what is the probability that Shaun loses both games?
Answer:
[tex]\frac{10}{56} = 0.1786[/tex] probability that Shaun loses both games
Step-by-step explanation:
Games are independent, so we find each separate probability, and multiply them.
In a chess club the probability that Shaun will beat Mike is 3/8.
So [tex]1 - \frac{3}{8} = \frac{8}{8} - \frac{3}{8} = \frac{5}{8}[/tex] probability that Shaun loses.
The probability that Shaun will beat Tim is 5/7 .
So [tex]1 - \frac{5}{7} = \frac{2}{7}[/tex] probability that Shaun loses.
What is the probability that Shaun loses both games?
This is:
[tex]p = \frac{5}{8} \times \frac{2}{7} = \frac{5*2}{8*7} = \frac{10}{56} = 0.1786[/tex]
[tex]\frac{10}{56} = 0.1786[/tex] probability that Shaun loses both games
a class is planning a field trip to the aquarium. The cost of a ticket is $25.95. With the cost of transportation, each student will pay $36.00 to go on the field trip. Jay wants to know how much he will pay for transportation. Which equation will help jay find the cost of transportation,t?
Answer:
25.95 + 36
Step-by-step explanation:
You don't have any options so the answer I would say is 25.95 + 36, or the other way around.
Hope this helped :]
One integer is 5 less than another. The sum of their squares is 277
The equation is x² + y² = 277 and the value of x and y is 9 and 14 respectively
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the two number be x and y
One integer is 5 less than another
So , x = y - 5
x - y = -5 be equation (1)
And , sum of their squares is 277
So , x² + y² = 277 be equation (2)
On simplifying the equation , we get
( x - y )² = x² + y² - 2xy
Substituting the values in the equation , we get
( -5 )² = 277 - 2xy
2xy = 277 - 25
2xy = 252
And , ( x + y )² = x² + y² + 2xy
Substituting the values in the equation , we get
( x + y )² = 277 + 252
( x + y )² = 529
( x + y ) = 23 be equation (3)
Adding equation (1) and equation (3) , we get
2x = 18
x = 9
So , y = 14
Therefore , the value of x and y is 9 and 14 respectively
Hence , the equations are solved
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-2 3/4, -1 3/4, -3/5 < o > -2 3/4, -3/5, -1 3/4 cual es menor?
Therefore , the solution of the given question of fractions comes out to be 5th option -3/5.
What is fraction?An element of a fraction or ratio is a piece of a whole. The number of equally sized pieces into which the whole has been divided is represented by the denominator b, and the number of parts that are included is represented by the numerator a. The LCM of two fractions' denominators is the least common multiple (LCD) of those denominators.
Here,
Given:
2 [tex]\frac{3}{4}[/tex], -1 [tex]\frac{3}{4}[/tex], 3/5 , -2 [tex]\frac{3}{4}[/tex], -3/5, -1 , [tex]\frac{3}{4}[/tex],
Therefore , by seeing the above given numbers ,
We compare above number
and we get to know ,
The 5th number 3/5, comes out to be smallest number from the following given numbers.
Therefore , the solution of the given question of fractions comes out to be 5th option -3/5.
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Find the limit, if it exists.
lim (x - 3x2 + 3)
a.
8
C. -12
b. -1
d. None of these
Please select the best answer from the choices provided
Ο Α
B
Ο Ο Ο Ο
oo
Answer:
B. -1
Step-by-step explanation:
Edge 2021
A family is canoeing downstream (with the current). Their speed relative to the banks of the river averages 2.75 mi/h. During the return trip, they paddle upstream (against the current), averaging 1.5 mi/h relative to the riverbank. Write and solve a system of equations to find the family’s paddling speed in still water. Let s equal the families paddling speed and c represent the current
a.
s + c = 2.75
s - c = 1.5
2.125 mi/h
c.
s + c = 2.75
c - s = 1.5
.60 mi/h
b.
2.75s = c
1.5s = c
1.725 mi/h
d.
2.75c = s
1.5c = s
30 mi/h
On solving the provided question, we can say that In still water, a family must paddle at a speed of 2.125 miles per hour.
What is speed?Speed is the amount of distance traveled by an object in one unit of time when it is in motion.
Given that, a family is paddling a boat (with the current). Their average speed in relation to the riverbanks is 2.75 miles per hour. On the way back, they paddle upstream (against the current), moving toward the riverbank at an average speed of 1.5 miles per hour.
Here, Let the family's speed on still water be x and the current's speed be y. Upstream speed is calculated using the formula 1.5 = x - y - - - - (1)
2.75 downstream speed = x + y - - - - (1)
Equations 1 and 2 are solved as follows: 2x = 4.25 and x = 2.125 miles per hour In still water, a family must paddle at a speed of 2.125 miles per hour.
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You may need to use the appropriate technology to answer this question. A survey was conducted to determine whether hours of sleep per night are independent of age. A sample of individuals was asked to indicate the number of hours of sleep per night with categorical options: fewer than 6 hours, 6 to 6.9 hours, 7 to 7.9 hours, and 8 hours or more. Later in the survey, the individuals were asked to indicate their age with categorical options: age 39 or younger and age 40 or older. Sample data follow. Hours of Sleep Age Group 39 or younger 40 or older Fewer than 6 36 34 6 to 6.9 60 57 7 to 7.9 79 77 8 or more 65 92 (a) Conduct a test of independence to determine whether hours of sleep are independent of age. State the null and alternative hypotheses. H0: Hours of sleep per night is independent of age. Ha: Hours of sleep per night is not independent of age. H0: The proportion of people who get 8 or more hours of sleep per night is not equal across the two age groups. Ha: The proportion of people who get 8 or more hours of sleep per night is equal across the two age groups. H0: Hours of sleep per night is not independent of age. Ha: Hours of sleep per night is independent of age. H0: Hours of sleep per night is mutually exclusive from age. Ha: Hours of sleep per night is not mutually exclusive from age. Correct: Your answer is correct. Find the value of the test statistic. (Round your answer to three decimal places.) What is the p-value
Answer:
1) The null and alternative hypotheses.
H0: Hours of sleep per night is independent of age.
Ha: Hours of sleep per night is not independent of age.
Test Statistics χ²=4.009
The corresponding p-value for the test at χ²= 4.009 is 0.2604
Step-by-step explanation:
1) The null and alternative hypotheses.
H0: Hours of sleep per night is independent of age.
Ha: Hours of sleep per night is not independent of age.
2) The data is
≤ 39 ≥ 40 Total
6 hours 36 34 70
6.9-7 hours 60 57 117
7- 7.9 hours 79 77 156
8 hours or more 65 92 157
Total 240 260 500
3) The expected values are computed as follows
260×70/500=36.4
240×117/500 =56.16
260×117/500 =60.84
240×156/500 =74.88
260×156/500 =81.12
240×157/500=75.36
260×157/500 =81.64
4) The squared distances are calculated as
{(36 - 33.6)^2}/{ 33.6} = 0.171
{(34 - 36.4)^2}{ 36.4} = 0.158
{(60 - 56.16)^2}/{ 56.16} = 0.263
{(57 - 60.84)^2}/{ 60.84} = 0.242
{(79 - 74.88)^2}/{ 74.88} = 0.227
{(77 - 81.12)^2}/{ 81.12} = 0.209
{(65 - 75.36)^2}/{ 75.36} = 1.424
{(92 - 81.64)^2}{ 81.64} = 1.315
5) The significance level is set at α=0.05 for df = (4 - 1) (2 - 1) =3
degrees of freedom.
6) The critical region for this test is χ² = χ² >7.815
7) Test Statistics
χ²=i=∑(O ij −Eij )2/Eij
=0.171+0.263+0.227+1.424+0.158+0.242+0.209+1.315
= 4.009
8) Conclusion
As the calculated value χ² =4.009 does not lie in the critical region ≤χ² =7.815, null hypothesis is not rejected.
Therefore, we conclude that there is not enough evidence to accept the alternate hypothesis , at the α=0.05 significance level.
The p-value for the test at χ²= 4.009 is 0.2604
3p-3p+2s-6s+2q-3q+8r-7r
Is it ok to not put the p in this equation as the 3p is minus
Answer:
- 4s - q + r
Step-by-step explanation:
that's right. You do not put the p since 3p and -3p cancel out to give zero. I'll solve the question for you:-
⇒3p-3p+2s-6s+2q-3q+8r-7r
add or subtract the like terms(terms having same variables), then out of the two like terms, put the sign of the greater number, for e.g. 2q-3q = -1q
⇒0 - 4s - 1q + 1r
⇒- 4s - q + r Answer
hope that helps...
What is the surface area of the rectangular prism?
Answer:
112 is your answer
Step-by-step explanation:
To calculate the surface area you have to count all of the squares. You can do this with these equations.
8 × 4 × 2 = 64
8 × 2 × 2 = 32
4 × 2 × 2 = 16
Next, add them up!
64 + 32 + 16 = 112
Select the correct answer. Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equation. g ( x ) = − 18 ( 1 3 ) x + 2 Which statement correctly compares the two functions on the interval [-1, 2]? A. Only function f is increasing, but both functions are negative. B. Both functions are increasing, but function g increases at a faster average rate. C. Both functions are increasing, but function f increases at a faster average rate. D. Only function f is increasing, and only function f is negative.
The correct comparison between two function is
Both functions are increasing, but function g increases at a faster average rate.
The Correct option is (B).
What is an increasing function?If the slope of a function is continuously increasing or constant in an interval, the function is known as an increasing function.
Let us assume
f(x) = [tex]ab^x[/tex]+ c
so, at x=0, f(0)=-10
a +c = -10
Similarly, by satisfying the above table in the f(x)
f(x) = -33/5 [tex](1/11)^x[/tex] - 17/5
and, f'(x) > 0
Thus, f(x) is an increasing function.
Now, g(x) = -18 [tex](1/3)^x[/tex] +2
g'(x) = -18 [tex](1/3)^x[/tex] log(1/3)
as log 1/3 <0
So, g'(x) > 0
Thus, g(x) is an increasing function.
For any x ∈ f(x) and x ∈ g(x), g'(x) > f'(x).
Hence, Both functions are increasing, but function g increases at a faster average rate.
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I need help with these
Answer:
w=17
Step-by-step explanation:
Distribute -9 into the parenthesis to remove them.
Use the addition property of equality and add -9w to both sides of the equation
use addition property of equality again and add -243 to the opposing side of the equation
Use division property of equality and divide both sides by 9
Thus getting w = 17
i will give Brainiest if you are right
Answer:
-4
Step-by-step explanation:
please mark brainliest
Answer:
-4
Step-by-step explanation:
So we can start with -2 + 3, (negatives mean -, and positives mean +)
= 1
Then, 1 - 4
= -3
-3 - 1
= -4
hope this helps :)
Your driveway is rectangular in shape and measures 18 feet wide and 29 feet long. Calculate the area of your driveway.
a.
261 square feet
c.
250 square feet
b.
522 square feet
d.
500 square feet
Answer:
522 square feet
Step-by-step explanation:
Area is the term used to define the amount of space taken up by a 2D shape or surface. We measure area in square units : cm² or m². Area is calculated by multiplying the length of a shape by its width, so you mutiply 18 by 29 and got 522
Answer:
522
Step-by-step explanation:
Area of a rectangle = width times length
The length in this case is 29 feet, and the width is 18 feet.
29 times 18 = 522 square feet
A bakery sells 5 apple muffins for every 2 bran muffins sold.Which table shows this ratio?
Complete the two-way frequency table below, which shows the relationship between students who enroll in advanced algebra and physics in a particular high school. From a sample of 40 students, it is found that 29 are taking algebra, 14 are taking physics, and 5 are enrolled in both. How many students are enrolled in either algebra or physics?
Algebra Not in Algebra Total
Physics 5 9 14
Not in Physics 24 2 26
Total 29 11 40
it is found that 29 are taking algebra, 14 are taking physics, and 5 are enrolled in both using principle of inclusion-exclusion we can say 38 students are enrolled in either algebra or physics.
How to find the number of students enrolled in either algebra or physics?To find how many students are enrolled in either algebra or physics, you can use the principle of inclusion-exclusion, which states that the total number of elements in two sets can be found by adding the number of elements in each set and then subtracting the number of elements that are in both sets.
So, the number of students enrolled in either algebra or physics is:
29 (students enrolled in algebra) + 14 (students enrolled in physics) - 5 (students enrolled in both) = 38
So, 38 students are enrolled in either algebra or physics.
It is important to notice that in the table you provided is a two-way frequency table also known as a contingency table, it shows the relationship between two variables, in this case, Algebra and Physics and the frequencies of each combination.
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There are 45students in class 7. Among them 1/3are girls. find the numbers of girls and boys
Answer:
girls are 15 and boys are 30
Answer:
15 girls and 30 boysStep-by-step explanation:
Given,
No. of students in the class = 45
Fraction of girls = 1/3
Therefore,
No. of girls = 45 × 1/3
= 15
No. of boys = 45 - 15 = 30
Hence,
In class 7 there are 15 girls and 30 boys (Ans)
Write the name of each of these polygons
Answer:
In geometry, a polygon can be defined as a flat or
plane, two-dimensional closed shape bounded with
straight sides. It does not have curved sides. The
sides of a polygon are also called its edges. The
points where two sides meet are the vertices (or
corners) of a polygon
1. polygon with four sides is called a Quadrilateral
2. polygon with six sides is called hexagon
3. polygon with five sides is called pentagon
Hope this helps?
Please help meeeeee!!!!!!!
Answer:
g
Step-by-step explanation:
3x+1<2+4x
-1<x
Answer:
x > -1
Step-by-step explanation:
3x + 1 < 2 + 4x
-x < 1
x > -1
A Child wants to reach the cookies on the top shelf of the kitchen. The shelf is 1.5 m high. The cookie jar has a mass of 0.75 kg. what is the potential energy of the cookie jar before it is taken from the shelf?
Answer:
11.0325 J
Step-by-step explanation:
The formula for calculating Potential Energy is:
P.E. = mass * acceleration due to gravity * height
where mass is in kg
acceleration due to gravity is a constant at the surface of the earth = 9.8 m/sec^2
and height is in meters
Here:
P.E. = 0.75 kg * 9.8 meters/sec^2 * 1.5 meters
P.E. = 11.0325 kg*m^2/sec^2
Now kg*m^2/sec^2 = joules
so the answer is 11.0325 joules
The required potential energy of the jar is 11.0325 joules.
What is potential energy?Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is compressed or stretched, its potential energy increases.
Given that,
The height of self h = 1.5 m.
The mass of cookie jar m = 0.75 kg.
To find the potential energy of jar,
Use formula of Potential Energy
Potential Energy = m × g × h
where m = mass is in kg
Ang g is gravity.
And the value of g at the surface of the earth = 9.8 m/sec²
and height is in meters
Substitute the values here,
Potential energy = 0.75 kg * 9.8 meters/sec² * 1.5 meters
Potential energy = 11.0325 kg x m²/sec²
Since, kg x m²/sec² = joules
Potential energy = 11.0325 joules.
Hence the required answer is 11.0325 joules.
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What is the area of the rectangle? A.11 square centimeters
B.22 square centimeters
C.28 square centimeters
D.14 square centimeters
Answer:
28
Step-by-step explanation:
Area of a rectangle = width times length therefore the equation is 7 times 4 = 28.
in a classroom, there are 20 boys to 25 girls. Write the ratio of boys to girls as a simplified fraction.
Answer:
Pretty sure its 4/5
Step-by-step explanation:
Ratio is 20:25 simply it by dividing 5 its 4:5 then as a fraction it's 4/5
Please help ASAP!!! Thank you!!
Answer:
-3/x-1
Step-by-step explanation:
Please answer correctly with a fair explanation, I will give you brainliest.
Answer:
5 and 6
Step-by-step explanation:
We know that the square root of 36 is 6, so the square root of 35 must be between 5 and 6 as it is not a perfect square.
A car salesman is stringing banners from the top of the roof to a fence pole 20 feet away. The top of the roof is 29 feet from the ground. The fence pole is 8 feet high. How many feet of banner rope does he need to reach from the rooftop to the fence pole?
Answer:
29ft
Step-by-step explanation:
Which of the followinkg is a rational number that is not an integer?
-2
-0.5
0
4