A copy machine reduces an original document using the ratio 5:3. What is the length of a line segment on the copy if the original is 8 in. long?

Answer:

2%

Step-by-step explanation:

2/100 = 0.02

Then we can convert the decimal to a percentage by multiplying by 100:

0.02 x 100 = 2%

So 2/100 as a percentage is 2%. I hope this helps!

Answer:

D) 48

Step-by-step explanation:

Let s = Scott

Let j - James

s = 5

s + 43 = j  Substitute 5 for s

5 + 43 = j

48 = j

Answer:

a.

Step-by-step explanation:

The p-value is a measurement of the likelihood that a difference observed is due to a random chance or a sampling error. In an alternative way, the p-value of a study represents the probability or area under distribution for obtaining more radical outcomes whenever the null hypothesis is true.

Any observable change is deemed to be addressed by sampling variability if the P-value is greater than the selected alpha level. A statistical test will nearly always show a substantial difference with a suitably big sample unless there is no impact at all when the effect size is exactly zero.

As a result, simply reporting the P-value alone for a study is insufficient to fully validate the results and findings of scientific publications.

Answer:

The  95% confidence interval is \(0.1193 < p <0.4407\)

Step-by-step explanation:

From the question we are told that

   The sample size is  \(m = 30\)

   The sample proportion is  \(\r p = 0.28\)

Given that the confidence interval is  95% then the level of significance is mathematically represented as

           \(\alpha = 100 - 95\)

           \(\alpha = 5\%\)

          \(\alpha = 0.05\)

Next we obtain the critical value of the \(\frac{\alpha }{2}\) from the normal distribution table, the value is

        \(Z_{\frac{ \alpha }{2} } = 1.96\)

Generally the margin of error is mathematically represented as

       \(E = Z_{\frac{ \alpha }{2} } * \sqrt{\frac{ ( \r p (1 - \r p ))}{n} }\)

=>    \(E = 1.96 * \sqrt{\frac{ (0.28 (1 - 0.28 ))}{ 30} }\)

=>   \(E = 0.1607\)

The  95% confidence interval is  

     \(\r p - E < p < \r p + E\)

=> \(0.28 - 0.1607 < p < 0.28 + 0.1607\)

=> \(0.1193 < p <0.4407\)

The volume of the composite figure is 228 ft³.

To calculate the volume of a composite figure, we need to break it down into its individual components and then sum up the volumes of each component.

From the given dimensions, it seems that the composite figure consists of multiple rectangular prisms. Let's calculate the volume of each prism and then add them together.

First prism:

Length = 8 ft, Width = 4 ft, Height = 6 ft

Volume = Length * Width * Height = 8 ft * 4 ft * 6 ft = 192 ft³

Second prism:

Length = 3 ft, Width = 2 ft, Height = 6 ft

Volume = Length * Width * Height = 3 ft * 2 ft * 6 ft = 36 ft³

Now, let's add the volumes of both prisms:

192 ft³ + 36 ft³ = 228 ft³

Therefore, the volume of the composite figure is 228 ft³.

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What is the volume of the composite figure? 8 ft 4 ft 6 ft 3 ft 2 ft

Answers 96 ft³3 76 ft³ 228 ft³ 192 ft³ ​

Chris' gross pay for the week after selling computer equipment worth $17,000 is $2,600.

The gross pay is the addition of the base pay and the sales commission.

The sales commission is graduated and computed as follows:

Chris' base pay = $300

Sales Commissions:

First $5,000 = 10%

Above $5,000 = 15%

Last week's sales = $17,000

10% Commission = $500 ($5,000 x 10%)

15% Commission = $1,800 ($17,000 - $5,000 x 15%)

Total Commission = $2,300

Gross pay = Base Pay + Commission

= $2,600 ($300 + $2,300)

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Answer:

Line n bisects segment XY

The length of segment XY = 6

Step-by-step explanation:

Line n is the segment bisector of segment XY

A bisector is to divide into two equal parts, so;

5x + 8 = 9x + 12

4x = -4

x = -1

Total segment = 5x + 8 + 9x + 12

plug in -1 for x;

-5 + 8 + -9 + 12

XY = 3 + 3

XY = 6

Answer:

the answer i came up with for the first question the answer is C

for the second question, i go 11.4

Step-by-step explanation:

how i got 11.4 add all like valuables

12+8=20

9x+5x=14x

then divide to get x alone to get 11.4

Answer:

No triangles because the by the above direction we can only make two legs of the triangle

Answer: 3/2

Step-by-step explanation:

Answer:

number is 2

Step-by-step explanation:

let the number be n then 8 times the number is 8n, subtract 1 from this and

8n - 1 = 15 ( add 1 to both sides )

8n = 16 ( divide both sides by 8 )

n = 2

that is the number is 2

The mixed numbers that have 12 as the LCD are 2 11/12 and 6 4/5. All other fractions do not have 12 as the denominator and are not equivalent.

Mixed numbers consist of a whole number and a fractional part. To add or subtract mixed numbers, the fractions must have the same denominator (the bottom number of the fraction).

The LCD (lowest common denominator) is the smallest number that all of the denominators can be divided into evenly. In this case, the LCD is 12.

2 11/12 and 6 4/5 both have 12 as the denominator. The denominator of 11/12 can be divided by 11 and 12, so it is the same as 12/12. The denominator of 4/5 can be divided by 4 and 12, so it is the same as 48/12 (4 x 12 = 48). Therefore, both fractions have the same denominator.

The other fractions do not have 12 as their denominator. 3 1/7 can be divided by 3, 7, and 12, so it is the same as 21/12 (3 x 7 = 21). 5 3/4 can be divided by 4, 5, and 12, so it is the same as 60/12 (4 x 5 = 60). 8 38/47 can be divided by 8, 47, and 12, so it is the same as 376/12 (8 x 47 = 376). Since none of these fractions are equal to 12/12, they are not equivalent to the other two fractions.

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Question :

Which mixed numbers have 12 as the LCD (lowest common denominator)?

2 11/12

3 1/7

5 3/4

6 4/5

8 38/47

Answer:

If two triangles have two pairs of sides in the same ratio and the included angles are also equal, then the triangles are similar.

Have a nice day and I hope this helps!

The equivalent equations  are;

For equations to be equivalent they must be reduced to obtain the same terms. Thus if the terms that are found on an equation are not similar it is not possible to think that the equations are by any means equivalent.

Given the four equations as we have them in the question, the following equations are equivalent;

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Answer:

The answer is B

Step-by-step explanation:

The Distributive Property be used to find 7 x 391; 7 x 391 = (7 x 300) + (7x 90) + (7 x 1). Therefore, option D is the correct answer.

Suppose a, b and c are three numbers. Then we have:

a(b + c) = a x  b + a x c

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

Also This property is known by distributive law and applies to subtraction also.

The Distributive Property be used to find 7 x 391;

7 x 391 = (7 x 300) + (7x 90) + (7 x 1)

Therefore, option D is the correct answer.

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Answer:

-25 (c-5) / 8

Negative 25 (c-5) over 8

Answer:

the answer is 15.625 in decimals and in fraction 125/8

Step-by-step explanation:

Using the formula of volume of a sphere and hemisphere, the volume of the figures are given as;

1. 2144.57 m³

2. 696.6 m³

3. 20569.1m³

4. 2637ft³

5. 56.5km³

6. 6381.79 in³

The volume of a sphere is given as 4/3πr³

Where π is a constant whose value is equal to 3.14 approximately. “r” is the radius of the hemisphere.

1. The volume of the sphere is;

v = 4/3 * 3.14 * 8³ = 2144.57m³

2. The volume of the sphere is;

v = 4/3 * 3.14 * (11/2)³ = 696.6m³

3. The volume of the sphere is;

v = 4/3 * 3.14 * 17³ = 20569.1m³

4. The volume of the hemisphere is;

v = 2/3 * 3.14 * 10.8³ = 2637ft³

5. The volume of the hemisphere is;

v = 2/3 * 3.14 * 3³ = 56.5km³

6. The volume of the hemisphere is;

v = 2/3 * 3.14 * (29/2)³ = 6381.79in³

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Answer:

The pharmacy has 8 pints of cough syrup and a prescription calls for 3/4 of a pint, so to find the number of full prescriptions that can be filled, you would divide 8 (the total amount of cough syrup) by 3/4 (the amount of cough syrup per prescription). This would be 8 / (3/4) = 8 * (4/3) = 8 * 1.33 = 10.67.

Therefore, they can fill 10 prescriptions, they will have 0.67 left.

Step-by-step explanation:

Answer:

1. ..................

2. ,,,,,,,,,,,,,,,,,,

3. _______

Step-by-step explanation:

I don't know

In this case, the coefficient of determination is 0.5297, which means that 53% of the sample variation in Final grades is explained by the sample regression equation.

The data file contains the midterm and final scores of 32 students in a statistics course. To estimate a student's final score as a function of their midterm score, we used a regression analysis. The regression equation was Final = 27.5818 + 0.6774 Midterm. This equation can be used to predict the final score of a student based on their midterm score. The standard error of the estimate was 14.947. This indicates the accuracy of the estimated final score. The coefficient of determination was 0.5297, which means that 53% of the sample variation in final grades is explained by the regression equation. This tells us that the regression equation is a relatively good predictor of a student's final score.

Given:

Midterm Score = x

Final Score = y

Regression Equation: y = 27.5818 + 0.6774x

Standard Error of the Estimate = 14.947

Coefficient of Determination = 0.5297

Calculating Final Score:

y = 27.5818 + 0.6774x

y = 27.5818 + 0.6774(x)

y = 27.5818 + 0.6774(x)

y = 27.5818 + 0.6774(x)

y = 27.5818 + 0.6774x

Final Score = 27.5818 + 0.6774(Midterm Score)

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Answer:

$68.81

Step-by-step explanation:

22% of 56.40 can be found by multiplying

.22 and 56.4, which equals 12.408

therefore, if you add 12.408, or 12.41, to 56.40 you will get 68.81

On solving the provided question, we can say that the probability of the red die rolling is 16.67% probability = 0.1667

A branch of mathematics called probability theory determines the chance that an event will occur or that a statement is true. A probability is a number between 0 and 1, where 1 denotes certainty and about 0 denotes how probable an event is to occur. The possibility or likelihood that a specific event will occur is expressed numerically as a probability. Probabilities can also be expressed as percentages from 0% to 100% or as numbers between 0 and 1. the proportion of occurrences among all equally likely alternatives that lead to a certain event relative to all possible outcomes.

red die, there are 3 numbers greater than 3 out of 6 numbers

Probability (A) = 3/6 = 1/2.

green die, there are 2 numbers less than 3 out of 6 numbers

Probability (B) = 2/6 = 1/3.

events are independent

P(A and B) = \(P(A)P(B) = 1/2 X 1/3 = 1/6 = 0.1667\)\(P(A)P(B) = 1/2 X 1/3 = 1/6 = 0.1667.\)

16.67% probability = 0.1667

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Answer:

jonny is the winner.

Step-by-step explanation:

No. of wins harry has = 0.4

No. of wins krish has = 0.2

No. of wins jonny has = 0.3

To find the prbability of harry and jonny = 0.4 + 0.3

                                                                  =  0.7

Now to see who wins we have to add krish's wins and harry's win, because harry has the greatest number of wins.

krish = 0.2

harry = 0.4

        =  0.6

now we have all three's score, so we will now see which is the greatest number.

krish= 0.6

harry = 0.4

jonny = 0.7

The greatest number is 0.7.

Hence, jonny is the winner!

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Answer: 850

Step-by-step explanation:

if  250 miles takes 5 gallons then 7 gallons may give you about 850.

It looks like your just adding on 2 more.

Answer:

350 miles

Step-by-step explanation:

5 gallons of gas - 250 miles

7 gallons of gas - \(\frac{7}{5}\) × 250 miles = 350 miles

Answer:

Step-by-step explanation:

25%

80%

60%

100%

25%

Answer:

300

Step-by-step explanation:

it's in the hundreds place

2 is in the thousands place and has a value of 2000

3 is in the hundreds place and has a value of 300

4 is in the tenths place and has a value of 40

1 is in the ones place and has a value of 1

when u add it all together u get 2341

hope this helps chu <3

Divide total miles by total days:

1602 / 8 = 200.25 miles per day