Which choice is equivalent to the product below?
V8,5
O A. 4/10
O B. 10-12
C. 13
O D. 22/10

Answer:

9.26 per quart

Step-by-step explanation:

A 3-gallon bucket of paint costs $111.12.

  Find the price of per quart.

3 gallons equal 12 quarts. We divide 111.12 for 12 quarts by 12:

111.12 / 12 = 9.26

a. About 50% of the students scored less than 78.

b. Approximately 68% of the students scored between 75 and 78.

c. Approximately 95% of the students scored between 72 and 81.

d. Approximately 99.7% of the students scored between 69 and 75.

a) The normal curve is symmetrical, meaning that the area to the left of the mean is equal to the area to the right of the mean. Since the mean score is 78, 50% of the students scored above 78 and 50% scored below 78.

b) To apply the Empirical Rule, we will assume that 68% of the data falls within one standard deviation of the mean, which in this case is 3 points. So, 68% of the students scored between 75 and 81.

c) The percentage of students who scored between 72 and 81 can be found by subtracting the area to the left of 72 from the area to the left of 81. Using the Empirical Rule, we know that 95% of the observations are within two standard deviations of the mean, so the area between 72 and 81 is equal to 95%.

d) The percentage of students who scored between 69 and 75 can be found by subtracting the area to the left of 69 from the area to the left of 75. Using the Empirical Rule, we know that 99.7% of the observations are within three standard deviations of the mean, so the area between 69 and 75 is equal to approximately 99.7%.

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The appropriate values of n and r are illustrations of permutation.

The values of n and r are 75 and 10, respectively

From the question, we have the following parameters:

The above means that:

n = 75

r = 10

This can be interpreted as:

Arrange 10 songs from a list of 75 songs

Hence, the appropriate values of n and r are 75 and 10, respectively

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Answer:

Step-by-step explanation:

372 Millimeters

Answer:

2,300 millimeters

Step-by-step explanation:

when you convert 30 centimeters it’s 300 millimeters. When you convert 2 meters it’s 2,000 millimeters so…. That is the correct answer plus I just did the quiz and got it correct with that answer.

a. Constant speed, C =  0. 19 miles/minutes

b. The fraction representing her constant speed is  1/x miles/minutes

c. The time it takes her to drive exactly 1 mile is 5. 38 minutes

The formula for calculating constant speed is expressed as;

Constant speed = total distance covered/ total time taken

From the information given, we have that;

Now, substitute the values into the formula

Constant speed = 1. 3 / 7

Divide the values

Constant speed = 0. 19 miles/minutes

When distance 1 mile, time taken = x minutes

Constant speed = 1/x miles/minutes

If 1. 3 miles = 7 minutes

Then, 1 mile = x

cross multiply

x = 7/1. 3

x = 5. 38 minutes

Hence, the constant speed is 0. 19 miles/minutes

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Answer:

A. The surface area of a cube with side length 4 cm is 6 * (4 cm * 4 cm) = 96 square cm.

B. The total surface area of two pieces of the cube would be 2 * 96 square cm = 192 square cm. This is because cutting the cube into two equal pieces would double the total surface area of the pieces, but the surface area of each individual piece would remain the same.

Answer:

A)It takes Jody 2 hours to bike to the park.- Correct

B)The park is located 2 kilometers from Jody's house.- Incorrect

C) When Jody is at her house she has biked for 0 hours.- Correct

Step-by-step explanation:

We are given that The distance she travels on her bike, in kilometers, is equal to the function f(t), where t represents the number of hours she has been riding her bike.

f(t)= Distance covered in t hours

t = time in hours

Jody rides her bike from her house to the park. Before Jody leaves her house f(0) = 0

So, Distance covered in 0 hours is 0 km

So, When Jody is at her house she has biked for 0 hours

Jody reaches the park f(2) = 30.

So, Distance traveled in 2 hours is 30 km

So, It takes 2 hours to reach park

A)It takes Jody 2 hours to bike to the park.- Correct

B)The park is located 2 kilometers from Jody's house.- Incorrect

C) When Jody is at her house she has biked for 0 hours.- Correct

Answer:

1. Correct

2. Incorrect

3. Correct

Step-by-step explanation:

the other dude said it lol

Why are you cheating... I will report this to your teacher

Answer:

x = 2

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × breadth

given the rectangles have equal areas then equating the two areas gives

4x × 9 = 4(6x + 6) , that is

36x = 24x + 24 ( subtract 24x from both sides )

12x = 24 ( divide both sides by 12 )

x = 2

Step-by-step explanation:

hope this will help you plz check and tell me

Answer:

i would say 14 houses do not have a street light.

Step-by-step explanation:

The order pair solution of the given system of equations is (-5, -6).

Here we will use the substitution method to solve the given equation. In this obtain value of one variable from one equation and substitute the value in another equation to get the value of variables.  

Here we have

3x - 5y = 15 ---- (1)

2x - y = - 4 ---- (2)  

=> y = 2x + 4 --- (3)

From (1) and (3)

=> 3x - 5(2x + 4) = 15

=> 3x - 10x - 20 = 15

=> -7x = 35

=> x = -5

Substitute x = - 5 in 2x - y = - 4  

=> 2(-5) - y = -4

=> -10 - y = -4

=> y = - 6

Therefore,

The order pair solution of the given system of equations is (-5, -6).    

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The equivalent expression to the sentence "9 more than the quotient of x and 5" is given as follows:

x/5 + 9.

The sentence in the context of this problem is defined as follows:

"9 more than the quotient of x and 5"

The quotient of x and 5 is given by the division of x by 5, as follows:

x/5.

9 more means that 9 is added to the quotient of x and 5, hence the equivalent expression to the sentence "9 more than the quotient of x and 5" is given as follows:

x/5 + 9.

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The inverse statement is false.

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Answer:

5(n+7)=8

Step-by-step explanation:

Answer:

  f(x) = 3sin(3.1416(x +4)/7)

Step-by-step explanation:

You want the equation of a sine function with an amplitude of 3 and having one cycle between the points (-11, 0) and (3, 0), where it has negative slope.

The equation will generally be of the form ...

  f(x) = (amplitude)·sin(2π/(period)·(x-(horizontal translation)))

Here, the amplitude is 3 units, the period is (3 -(-11)) = 14 units, and the horizontal translation from the origin to the positive-going midline crossing is 4 units to the left.

Then f(x) is ...

  f(x) = 3·sin(2π/14(x -(-4))

  f(x) = 3·sin(3.1416/7(x +4))

<95141404393>

Answer:

f'(x) = 5

Step-by-step explanation:

differentiate using the power rule

\(\frac{d}{dx}\) (a\(x^{n}\) ) = na\(x^{n-1}\) and \(\frac{d}{dx}\) (constant) = 0

given

f(x) = 5x + 5 , then

f'(x) = 5\(x^{(1-1)}\) + 0

     = 5\(x^{0}\) + 0

    = 5

Answer:

<1  = 35degrees

<2  = 30degrees

Step-by-step explanation:

Using the theorem that the sum of external angle is equal to sum of interior angle

Considering the smaller triangle

Exterior angle = 115 degrees

Sum of interior = <1 + 80

Equating both

<1 + 80 = 115

<1 = 115 - 80

<1  = 35degrees

For the big rectangle

Exterior angle = 115 degrees

Sum of interior = <2 + 85

Equating both

<2 + 85 = 115

<2 = 115 - 85

<2 = 30degrees

Answer:

4250 m

Step-by-step explanation:

1 day = 850

5 days = 850×5

= 4250

B 0.02
3 - 3 - 3 - else
\(\binom{4}{3} (\frac{1}{6})^3 \frac{5}{6}\)
\(4\times (\frac{1}{216}) \frac{5}{6}\)
0.0154B 0.02
3 - 3 - 3 - else
\(\binom{4}{3} (\frac{1}{6})^3 \frac{5}{6}\)
\(4\times (\frac{1}{216}) \frac{5}{6}\)
0.0154

Answer:

A)What is the product of 2x -5 and 3x^2 + 5x - 7? Write your answer in standard form.

6x³ - 5x² - 39x + 35 = 0

B. Is the product of 2x -5 and 3x^2 + 5x -7 equal to the product of 5x - 2 and 3x^2 + 5x - 7?

No it is not.

Step-by-step explanation:

A)What is the product of 2x -5 and 3x^2 + 5x - 7? Write your answer in standard form.

(2x - 5) (3x² + 5x - 7)

= 2x(3x² + 5x - 7) -5(3x² + 5x - 7)

= 6x³ + 10x² - 14x -15x² - 25x +35

Collecting like terms

= 6x³ +10x² - 15x² - 14x - 25x +35

= 6x³ - 5x² - 39x + 35

In standard form

6x³ - 5x² - 39x + 35 = 0

B. Is the product of 2x -5 and 3x^2 + 5x -7 equal to the product of 5x - 2 and 3x^2 + 5x - 7?

First we find the product of

5x - 2 and 3x² + 5x - 7?

(5x - 2) (3x² + 5x - 7)

5x(3x² + 5x - 7) -2(3x² + 5x - 7)

15x³ + 25x² - 35x - 6x² -10x + 14

Collect like terms

15x³+ 25x² - 6x² -35x - 10x + 14

15x³ + 19x² - 45x + 14 = 0

Hence, the product of 5x - 2 and 3x^2 + 5x - 7

= 15x³ + 19x² - 45x + 14 = 0

The product of 2x -5 and 3x^2 + 5x -7 = 6x³ - 5x² - 39x + 35 = 0

Comparing both products, we can see that

The product of 2x -5 and 3x^2 + 5x -7 ≠ the product of 5x - 2 and 3x^2 + 5x - 7

Answer:

k(-4) = 12

Step-by-step explanation:

The most simple definition of a function is a set of inputs that have a given set of outputs.

Functions are often written as f(x) = "an expression"

Where "x" is the input and "the expression" results in an output. Whatever the input is you plug into "x" and replace all "x"s with the input

Here, we are given the function k(x) = 8 - x and we want to find k(-4)

This can be rewritten as k(-4) = 8 - x

==> replace all x's with -4

k(-4) = 8 - (-4)

==> remove parenthesis

k(-4) = 8 + 4

==> add 8 and 4

k(-4) = 12

9514 1404 393

Answer:

  1/4

Step-by-step explanation:

Each coordinate of H'J'K' is 1/4 of the value for HJK.

The scale factor is 1/4.

Answer:

1/4 would be right I am 100% sure

The answer is C, because there are two different numbers correlated to the same number on the Y side. The table does not represent a function.

The table is not a function because: A. one x-value corresponds to two different y-values.

If each x-value on a table of values is assigned to only one y-value, that table represents a function. If an x-value corresponds to more than one y-value, the table is not a function.

Thus, the x-value, 5, corresponds to two y-values, 2 and 5. Therefore the table does not represent a function.

The answer is: A.

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The probability that:

First, check if it is appropriate to use the normal approximation to the binomial distribution. The rule of thumb is that this approximation is reasonable if both np and n(1-p) are greater than 5. In this case, p = 0.83 (probability of failure), n = 70 (number of trials).

So,

np = 700.83 = 58.1,

n(1-p) = 700.17 = 11.9.

Both quantities are larger than 5, so use the normal approximation.

Convert this to a problem involving a normal distribution. The mean of this distribution is np = 58.1 and the standard deviation is √(np(1-p)) = √(700.830.17) = 6.35.

(a) within 2 years 47 or more fall:

This corresponds to a Z-score of (47.5 - 58.1) / 6.35 = -1.67. The probability that a standard normal variable is greater than -1.67 is 0.9525.

So the probability that 47 or more products fail is approximately 0.9525.

(b) within 2 years 58 or fewer fail:

This corresponds to a Z-score of (58.5 - 58.1) / 6.35 = 0.063. The probability that a standard normal variable is less than 0.063 is 0.5250.

So the probability that 58 or fewer products fail is approximately 0.5250.

(c) within 2 years 15 or more succeed:

Since the probability of success is 1-p, this is equivalent to fewer than (70 - 15 = 55) failing. This corresponds to a Z-score of (54.5 - 58.1) / 6.35 = -0.567.

The probability that a standard normal variable is greater than -0.567 is 0.7151.

So the probability that 15 or more products succeed is approximately 0.7151.

(d) within 2 years fewer than 10 succeed:

This is equivalent to more than (70 - 10 = 60) failing. This corresponds to a Z-score of (60.5 - 58.1) / 6.35 = 0.377.

The probability that a standard normal variable is less than 0.377 is 0.6478.

However, since we want more than 60 failing, the probability that the variable is greater than 0.377, which is 1 - 0.6478 = 0.3522.

So the probability that fewer than 10 products succeed is approximately 0.3522.

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Answer:

A = 2184 cm²

Step-by-step explanation:

the area (A) of the figure is calculated as

A = \(\frac{1}{2}\) h(b₁ + b₂)

where h is the perpendicular height between the bases b₁ and b₂

here h = 42 , b₁ = 52 , b₂ = 52 , then

A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²

Answer:

A = 2184 cm2

Step-by-step explanation:

Area of a parallelogram:

\(A = b*h\)

\(b=52,h=42\)

\(A=(42)(52)=2184cm^{2}\)

Hope this helps.

A line is represented by the following expression:

Since they are parallel because they have the same slope, we can find the distance between them with the formula for distance between points:

Distance between points is represented by the following expression:

The distance between the lines is 9 units.

The probability that the sample mean would differ from the population mean is given as 11.11 %

The mean = 99

The variance σ² = √ σ² = √ 441 = 21

The number of sixth graders n = 82

we would have the probability as:

P(|x - u|>3.69)

= 1 - P( |x - u| < 3.69)

= 1 - p(-3.69 < x - u < 3.69)

Using the center limit theorem

\(1 - p(\frac{-3.69}{21/\sqrt{82} } < Z < \frac{3.69}{21/\sqrt{82} })\)

1 - P(-1.59 < z < - 1.59)

1  - (0.9941  - 0.0559)

= 0.1111

Therefore the probability that P( |x - u| < 3.69) is given as 11.11%

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