4=2+25t Enter your answer in the box. t =

Answer:

The correct answer is B).

Step-by-step explanation:

Confirming the answer above, which is correct! Happy to help! c:

Answer:

Step-by-step explanation:

1kg=1000g

2kg=2000g

275/2000=11/80g

A fraction is the representative of the part of a whole. The fraction that

275 grams represent in 2 kg is given by the number of 275 grams in 2 kg.

The fraction of 2 kg that is 275 g is [tex]\dfrac{11}{80}[/tex]

Reasons:

The required information; The fraction of 2 kg that is 275 g.

Solution:

First the values are expressed in the same unit of kilograms as follows;

275 g = 0.275 kg

Therefore, we get;

Therefore;

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The total number of stones in Ally's collection is A = 96

In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.

The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.

A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.

Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.

Given data ,

Let the weight of the stone be = 4 ounces

And , let the weight of the collection be = 24 pounds

From the unit conversion , we get

1 pound = 16 ounces

So , 24 pounds = 16 x 24 = 384 ounces

And , the number of stones A = 384 ounces / weight of the stone

On simplifying , we get

The number of stones A = 384 / 4 = 96 stones

Hence , the number of stones is 96

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The required sample size is [tex]1,068[/tex]

A) Significance Level, [tex]\alpha = 0.05[/tex], Margin of Error,[tex]E=0.03[/tex]

The provided estimate of proportion p is, [tex]p=0.5[/tex]

The critical value for significance level, [tex]\alpha = 0.05[/tex] is [tex]1.96[/tex].

The following formula is used to compute the minimum sample size required to estimate the population proportion p within the required margin of error:

[tex]n>=p(1-p)\dfrac{Z_c}{E^2}^{2}[/tex]

Put Values , we get

[tex]n=0.5(1-0.5)\dfrac{1.96}{0.03^2}^{2}\\\\n=0.5(0.5)(65.33)^2\\\\n=0.25(4,268)[/tex]

[tex]n=1067.11[/tex]

Therefore, the sample size needed to satisfy the condition [tex]n>=1067.11[/tex] and it must be an integer number, we conclude that the minimum required sample size is [tex]n=1068[/tex]

Sample size, [tex]1068[/tex]

B) Significance Level, [tex]\alpha = 0.05[/tex], Margin of Error,[tex]E=0.03[/tex]

The provided estimate of proportion p is, [tex]p=0.55[/tex]

The critical value for significance level, [tex]\alpha = 0.05[/tex] is [tex]1.96[/tex].

The following formula is used to compute the minimum sample size required to estimate the population proportion p within the required margin of error:

[tex]n>=p(1-p)\dfrac{Z_c}{E^2}^{2}[/tex]

Put Values , we get

[tex]n=0.55(1-0.55)\dfrac{1.96}{0.03^2}^{2}\\\\n=0.55(0.45)(65.33)^2\\\\n=0.2475(4,268)[/tex]

[tex]n=1056.44[/tex]

Therefore, the sample size needed to satisfy the condition [tex]n>=1056.44[/tex] and it must be an integer number, we conclude that the minimum required sample size is [tex]n=1057[/tex]

Sample size, [tex]1057[/tex]

C)The difference between both the part a and b is very less so added knowledge of the extra information does not have much effect on sample size.

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Answer:

The answer is D. There is a multiplication error. Diep needs to save an average of $120.833... each month. Some months he needs to save $120.83 and other months he needs to save $120.84

Step-by-step explanation:

Answer:

21 square yards

Step-by-step explanation:

Let's remember that the formula of the area of a rectangle is A = L*W, where L is the length and W the width.

In this case, L = 21 feet and W = 9 feet.

Therefore, A = 21 feet * 9 feet = 189 square feet

We need the answer in square yards. We know that 1 feet equals 1/3 yard (1 feet = 1/3 yard)

As we need square yards, we just square the equation above.

1^2 square feet = (1/3) ^2 square yards

1 square feet = 1/9 square yards

The area is 189 square feet, so we just multiply by 189 on both sides to do the conversion to square yards.

189 square feet = 189*1/9 square yards

189 square feet = 21 square yards

The area of the flower bed is 21 square yards

The slope of the line passing through the points (3,8) and (-3,2) is 1

The slope of the line passing through the points (x₁, y₁) and (x₂, y₂) is given by the formula:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

where m represents the slope

For the line passing through the points  (3,8) and (-3,2).

x₁ = 3, y₁ = 8, x₂ = -3, y₂ = 2

Substitute x₁ = 3, y₁ = 8, x₂ = -3, y₂ = 2 into the slope formula above

[tex]m = \frac{2-8}{-3-3}\\\\m = \frac{-6}{-6} \\\\m = 1[/tex]

Therefore, the slope of the line passing through the points (3,8) and (-3,2) is 1

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To solve this problem, we can set up an equation. Let L be the number of games lost by the team. We are told that the team won 14 more than three times the number of games they lost, so the number of games won is 3L + 14. The team lost 25 games and won 89 games.

To solve this problem, we can set up an equation. Let L be the number of games lost by the team. We are told that the team won 14 more than three times the number of games they lost, so the number of games won is 3L + 14.

The total number of games played is the sum of the games won and the games lost, which is 114. So we have the equation:

(3L + 14) + L = 114

Simplifying the equation, we get:

4L + 14 = 114

Subtracting 14 from both sides, we have:

4L = 100

Dividing both sides by 4, we find that L = 25.

Therefore, the team lost 25 games. To find the number of wins, we can substitute the value of L into the equation we set up earlier:

3L + 14 = 3(25) + 14 = 75 + 14 = 89.

So the team had 89 wins and 25 losses.