Each gallon of paint covers about 250 square feet. How many gallons of paint should Amelia buy to paint the walls?

The pair of triangles shown are similar because the sides are proportional and corresponding angles are congruent.

Answer:

no

Step-by-step explanation:

Answer:

your answer is A. the reason is because it has 2200 sqare units

If my bowl of easter candy has colorful foil-wrapped chocolate eggs. there are 5 gold, 7 blue, and 10 pink. The probability that she reaches in without looking and gets a chocolate candy wrapped in pink foil is 0.45.

Total color = 5 gold + 7 blue + 10 pink

Total color = 22

Now let find the probability that she reaches in without looking and gets a chocolate candy wrapped in pink foil

Probability (pink) = 10/22

Probability (pink) = 0.45

Therefore the  probability of Callie Brooke getting a pink foil-wrapped chocolate egg is 10/22, or approximately 0.45.

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Statements B , D and E are True.

Statements A and C are False.

The space that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.

A. Prism A and C have the same volume. - False

The volume of Prism A is 5 x 6 x 4 = 120 cubic cm, while the volume of Prism C is 7 x 3 x 5 = 105 cubic cm.

B. Prism B has a greater volume than Prism C. - True

The volume of Prism B is 8 x 4 x 3 = 96 cubic cm, while the volume of Prism C is 7 x 3 x 5 = 105 cubic cm.

C. Prism B has the least volume. - False

The volume of Prism A is 5 x 6 x 4 = 120 cubic cm, which is greater than the volume of Prism B.

D. The volume of Prism A is 120 cubic centimeters. - True

As calculated above, the volume of Prism A is 120 cubic cm.

E. The volume of Prism C is less than the volume of Prism A. - True

As calculated above, the volume of Prism C is 105 cubic cm, which is less than the volume of Prism A.

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Answer:

10

Step-by-step explanation:

Solution 1: At first, you might think that because there are 5 ways to choose the first store and 4 ways to choose the second store, the answer is 5 * 4 = 20 but this is over-counting by a factor of 2. Say that two of the stores are A and B. If she went to A then B, that's the same as going to B then A since you still go to the same stores, therefore, the answer is 20 / 2 = 10.

Solution 2: We need to find the number of ways to choose 2 stores from 5, we can do this by calculating ₅C₂ which equals:

5! / 2!  * 3!

= 5 * 4 * 3 * 2 * 1 / 2 * 1 * 3 * 2 * 1

= 5 * 4 / 2 * 1

= 10

Answer:

See explanation

Step-by-step explanation:

It appears that the second graph is better since it seems to be rather consistent. The graph of the first one seems out of place. Therefore it seems to be confusing and could be misleading.

a) The value of the mean is μ = 22.5

   The value of the standard deviation is σ = 3.5

b) The Value of 15 girls or fewer is significantly low.

   The value of 30 girls or more is significantly high.

c) The result 36 is significantly high because 36 is greater than 30 girls. A         result of 36 girls is not necessarily definitive proof of the method's effectiveness.

The standard deviation is a measure of the amount of variability or dispersion in a set of data values. It is a statistical measure that tells you how much, on average, the values in a dataset deviate from the mean or average value.

a) Since the probability of having a girl for each couple is 0.5, the number of girls each couple will have can be modeled as a binomial distribution with parameters n=1 and p=0.5.

Let X be the random variable denoting the number of girls in 45 couples. Then, X follows a binomial distribution with parameters n=45 and p=0.5.

The mean of a binomial distribution is given by μ = np, so in this case, the mean number of girls in a group of 45 couples is:

μ = np = 45 x 0.5 = 22.5

Therefore, we expect to see around 22-23 girls in a group of 45 couples.

The standard deviation of a binomial distribution is given by σ = √(np(1-p)), so in this case, the standard deviation of the number of girls in a group of 45 couples is:

σ = √(np(1-p)) = √(45 x 0.5 x 0.5) = 3.535

Therefore, we can expect the number of girls in a group of 45 couples to have a standard deviation of around 3.5.

b) In this case, we can assume that the number of girls in a group of 45 couples follows a normal distribution due to the Central Limit Theorem.

Using the standard deviation we found in the previous answer (σ = 3.535), we can calculate the values that separate the results that are significantly high and significantly low.

Significantly high:

Mean + 2σ = 22.5 + 2(3.535) = 29.57

Significantly low:

Mean - 2σ = 22.5 - 2(3.535) = 15.43

c) To determine if the result of 36 girls is significantly high, we need to compare it to the values we calculated in the previous answer.

Mean + 2σ = 22.5 + 2(3.535) = 29.57

Since 36 is greater than 29.57, we can conclude that the result of 36 girls is significantly high.

This suggests that the method of gender selection may be having an effect on the probability of having a girl. However, we cannot conclusively say this without conducting further analysis or testing.

It is also important to note that the result of 36 girls is not necessarily definitive proof of the method's effectiveness.

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The vοlume οf the prism is 14 cubic feet.

A three-dimensiοnal structure having six rectangular faces is called a prism. It is alsο knοwn as a rectangular cubοid οr a rectangular parallelepiped.

The prism is cοmpletely filled with 1750 cubes that have an edge length οf 1/5 ft. This means that the vοlume οf each cube is \((1/5)^3 = 1/125\) cubic feet.

Tο find the vοlume οf the prism, we can divide the tοtal vοlume οf the cubes by the number οf cubes:

Vοlume οf prism = (Vοlume οf οne cube) x (Number οf cubes)

Vοlume οf prism = (1/125) x 1750

Vοlume οf prism = 14 cubic feet

Therefοre, the vοlume οf the prism is 14 cubic feet.

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Answer: 156.38 m

Step-by-step explanation:

Using the arc length formula, the answer is \(2\pi(8^2) \cdot \frac{140}{360} \approx 156.38\)

This is a simple question.

First, we can see both triangles are proportional, it means it has the same relation between its sides even if one is in a large scale and the other on a a small scale.

Now we can identify which side corresponds to which side. Once side AC is the longest one for triangle ABC it means its equivalent for triangle PQR is the side RP, so the equivalent for side AB is side QP. Once we know that we can write the following relation and calculate:

The first thing is to calculate the value of the root.

therefore, is between -12 and -13

decimal estimate: 0.24

Answer:

Step-by-step explanation:

The sequence of the problem above is an arithmetic sequence

For an nth term in an arithmetic sequence

F(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

To find the equation first find the common difference

0.65 - 0.5 = 0.15 or 0.80 - 0.65 = 0.15

The first term is 0.5

Substitute the values into the above formula

That's

f(n) = 0.5 + (n - 1)0.15

f(n) = 0.5 + 0.15n - 0.15

The final answer is

Hope this helps you

Answer:

Step-by-step explanation:

Took the math test on edge

Answer: 9.09 meters per second

Step-by-step explanation:

100 divided by 11= 9.09

Answer:The area of a circle with radius 0.2865 is 0.2579

Step-by-step explanation: Area of a circle in terms of radius:

Area = π·r2 = 3.14·0.292 = 0.26 square meters(*)

Area of a circle in terms of diameter:

Area = π·(d

2

)2 = 3.14·(0.57

2

)2 = 3.14·(0.29)2 = 0.26 square meters(*)

Area of a circle in terms of circumference:

Area = C2

4π

= 1.82

4π

= 3.24

(4·3.14)

= 3.24

12.56

= 0.26 square meters(*)

The circumference of circle is 5.652m.

The circumference of a circle is its boundary or the length of the complete arc of a circle.

The formula for the circumference of a circle is expressed using the radius 'r' of the circle and the value of 'pi'. It is expressed as, Circumference of a circle formula = 2πr. While using this circumference formula, if we do not have the value of the radius, we can find it using the diameter.

For example:

If the radius of the circle is 25 units, find the circumference of the circle. (Take π = 3.14)

Solution: Given, radius = 25 units

Let us write the circumference formula and then we will substitute the value of r (radius) in it.

Circumference of circle formula = 2πr

C = 2 × π × 25

C = 2 × 3.14 × 25 = 157 units

Therefore, the circumference of a circle is 157 units.

Given:

diameter= 1.8 m

radius= 0.9m

Now, Circumference of circle

=2πr

= 2* 3.14 * 0.9

= 5.652 m

Hence, the circumference of circle is 5.652m.

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Answer: There are five "digits": 0,1, 2, 3, 4

Step-by-step explanation: The base is five. There are five "digits": 0,1, 2, 3, 4 . Positions correspond to integer powers of five, starting with power 0 at the rightmost digit, and increasing right to left. The digit placed at a position shows how many times that power of five is included in the number.

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

The answer is Offer 3 because it has the lowest total loan cost of the offers with a monthly payment in his budget

Answer: c, offer 3

Step-by-step explanation: just did the quiz

The linear equations are y - 25 = 0.89(x - 20) and y  = 0.89x + 7.2

The complete question is added as an attachment

The two points from the graph are (20, 25) and (38, 41)

The slope of the line is calculated using

m = (y2 - y1)/(x2 - x1)

Substitute the known values in the above equation

m = (41 - 25)/(38 - 20)

Evaluate

m =0.89

This is calculated as:

y - y1 = m(x - x1)

Substitute the known values in the above equation

y - 25 = 0.89 * (x - 20)

Evaluate

y - 25 = 0.89(x - 20)

We have:

y - 25 = 0.89(x - 20)

Expand

y - 25 = 0.89x - 17.8

Add 25 to both sides

y  = 0.89x + 7.2

Hence, the linear equations are y - 25 = 0.89(x - 20) and y  = 0.89x + 7.2

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Answer:

x=6

Step-by-step explanation:

x-7=-1 add -1 to other side of the equation

x-6=0 add six to the zero

x=6

The height of each bar represents the frequency of the corresponding voucher value. Bag A has a peak frequency at 50, while Bag B has a peak frequency at 10 and 100. Bag A has a more uniform distribution, while Bag B has a bimodal distribution.

To draw frequency plots for the distribution of vouchers for Bag A and Bag B, we first need to calculate the frequency of each voucher value in each bag.

For Bag A:

10: 1

20: 2

30: 3

40: 4

50: 5

60: 5

70: 4

80: 3

90: 2

100: 1

For Bag B:

10: 5

20: 4

30: 3

40: 2

50: 1

60: 1

70: 2

80: 3

90: 4

100: 5

Now, we can plot the frequency of voucher values for each bag on a graph. The x-axis represents the voucher values, and the y-axis represents the frequency.

For Bag A, we have:

10 -

20 --

30 ---

40 ----

50 -----

60 -----

70 ----

80 ---

90 --

100 -

For Bag B, we have:

10 -----

20 ----

30 ---

40 --

50 -

60 -

70 --

80 ---

90 ----

100 -----

These frequency plots provide a visual representation of the distribution of voucher values for each bag and can be helpful in comparing the two distributions.

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The contractor should lower the ramp by approximately 4.62° to meet safety regulations.

We have,

To determine the angle created by the bottom of the ramp and the ground, we can use the trigonometric function of sine.

In the given triangle, the height is 6 ft and the base is 16 ft.

The angle we want to find is opposite the height (let's call it θ).

The sine of an angle is defined as the ratio of the opposite side to the hypotenuse.

sin(θ) = opposite/hypotenuse

sin(θ) = 6/16

sin(θ) = 0.375

To find the angle θ, we can take the inverse sine (also known as arcsine) of 0.375:

θ = arcsin(0.375)

θ ≈ 22.62°

To meet safety regulations, the angle should be no more than 18°. Therefore, the contractor needs to lower the ramp by:

22.62° - 18° ≈ 4.62°

Thus,

The contractor should lower the ramp by approximately 4.62° to meet safety regulations.

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Answer:

3 not including tax, if it needs to include tax i dont know

Answer:

The equation which represents the inverse of the function f(x) = 4x is h(x) = 1/4 x.

Hope this helps

Step-by-step explanation:

The equation which represents the inverse of the function f(x) = 4x is h(x) = 1/4 x.

Hope this helps

Let's denote the three numbers A, B, and C.

Given that the highest common factor (HCF) of these three numbers is 8 and their sum is 80, we can consider possible combinations of numbers that satisfy these conditions.

Since the HCF is 8, all three numbers must be divisible by 8. Additionally, the sum of the numbers is 80, so we need to find combinations of three numbers that satisfy both conditions.

Let's list the possible combinations:

These are the four possible sets of three numbers that satisfy the given conditions: (8, 16, 56), (16, 8, 56), (24, 8, 48), and (8, 24, 48).

The rental cost in dollars per square foot is $11,00

Cost of renting 1.250 square feet = $13, 750 per month

Rental cost per square foot = Total renting cost / total renting area

= $13, 750 per month / 1.250 square feet

= $11,000

Hence, $11,000 is the rental cost in dollars per square foot.

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The sample size is maximized with the value of p vs the value of p-hat. Thus the correct option is C.

In the given question, when choosing a sample size for a population proportion a practitioner is considering either setting p = 0.5, or, using a preliminary estimate of p-hat=0.7.

We have to check which statement is true:

The formula to compute the sample size for population proportion is given below:

n = \(\frac{z^{2}_{\alpha/2}\times p\times(1-p)}{E^2}\)

where p is the estimated proportion. If prior estimates of proportion is not available, then p is taken as 0.5.

keeping the confidence level and margin of error constant, let \(\frac{z^{2}_{\alpha/2}}{E^2}\) = C

Suppose p=0.5

n = C × 0.5 × (1-0.5)

n = 0.25C

Suppose p-hat = 0.7

n = C × 0.7 × (1-0.7)

n = 0.21C

For any other estimate of p the sample size n will be the smaller as compared to p=0.5.

Therefore the sample size is maximized with the value of p vs the value of p-hat. Thus the correct option is C.

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Answer:

2500

Step-by-step explanation:

The perimeter is given by the formula :

P = 4L  (L is length)

We rearrange the equation to get L as the subject:

L = P÷4

L = 200÷4

L = 50

The area of a square is given by the formula :

A = L²

A = 50²

A = 2500

Answer:

x- intercept = - 8 , y- intercept = 4

Step-by-step explanation:

to find the x- intercept let y = 0 in the equation and solve for x

x - 2(0) = - 8

x - 0 = - 8

x = - 8 ← y- intercept

to find the y- intercept let x = 0 in the equation and solve for y

0 - 2y = - 8

- 2y = - 8 ( divide both sides by - 2 )

y = 4 ← y- intercept