25 PTS!!! 3 students have gotten 3 different scores on a test, their scores were 87%, 75%, and 90%. Those 3 students want to know the average score for them.

Answer: (1)[tex]\sqrt{10}, \sqrt{27}, \sqrt{99}[/tex], (2) [tex]\sqrt{14}, \sqrt{24}, \sqrt{34}, \sqrt{44}, \sqrt{54}[/tex], (3) [tex]\sqrt{0.33}[/tex] are irrational numbers.

Explanation:

(1)

A number is called an irrational number if it can not be written as a simple fraction form. For example [tex]\sqrt{2}, \sqrt{3},\sqrt{5},...[/tex].

If a real number is multiplied by an irrational number then the result is an irrational number.

[tex]\sqrt{49}=7[/tex]

[tex]\sqrt{64}=8[/tex]

Since the result of these square roots are a rational number, therefore [tex]\sqrt{49},  \sqrt{64}[/tex] these are rational numbers and [tex]\sqrt{10}, \sqrt{27}, \sqrt{99}[/tex] are irrational numbers.

(2)

[tex]\sqrt{14} =\sqrt{7} \sqrt{2}[/tex]

[tex]\sqrt{24} =2\sqrt{6}[/tex]

[tex]\sqrt{14} =\sqrt{17} \sqrt{2}[/tex]

[tex]\sqrt{44} =2\sqrt{11}[/tex]

[tex]\sqrt{54} =3\sqrt{6}[/tex]

All the number in the option can not be written in the form of simple fraction, so all the options represents the irrational numbers.

(3)

[tex]0.25=\frac{1}{4}[/tex]

[tex]\sqrt{0.25} =0.5=\frac{1}{2}[/tex]

[tex]\sqrt{0.33} =\frac{\sqrt{33}}{10}[/tex]

Therefore, the number [tex]\sqrt{0.33}[/tex] is an irrational number. The numbers [tex]0.5,\sqrt{0.25}[/tex] are rational numbers.

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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Answer:

Hi!

The correct answer is A. h-625.

Step-by-step explanation:

If you have a dataset listed in ascending order:

[tex]A = \lbrace\ a_1, a_2, a_3,..., a_\frac{n}{2},..., a_n \rbrace[/tex]

[tex]median = a_\frac{n}{2}[/tex]

The value of the mean, if the dataset is even:

The value of the mean, if the dataset is odd:

If we substract 625 to each value of the dataset:

[tex]A = \lbrace\ a_1 - 625, a_2 - 625, a_3 - 625,..., a_\frac{n}{2} - 625,..., a_n - 625 \rbrace[/tex]

[tex]median = a_\frac{n}{2} - 625[/tex]

The position of the middle value is the same before the subtraction of 625, then the median would be H - 625.

Final answer:

To find the price Emerson will charge for product A with a 30% markup, add the markup to the original cost of $26.50. The final price will be $34.45.

Explanation:

To find the price at which Emerson will charge for product A, you need to add 30% markup to the original cost of $26.50.

To calculate this, first find 30% of $26.50. Multiply $26.50 by 0.30.

30% of $26.50 = $7.95

Next, add the markup to the original cost:

$26.50 + $7.95 = $34.45

Therefore, Emerson will charge $34.45 for product A.

The value of r in relation r/5=9/21 is 2.14.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional

\to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

r/5=9/21

Now, cross multiplying

r x 21=  9 x 5

21r = 45

r= 45/21

r= 15/7

r= 2.14

Hence, the value of r is 2.14.

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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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Based on the information given, for every 3 kiwis, there'll be 4 bananas.

Number of bananas = 8

Number of oranges = 3

Number of apples = 5

Number of kiwis = 6

Since the question was that there are 3 kiwis, therefore we have to divide the other fruits by 2 as well. In this case, the number of bananas will be:

= 8/2 = 4

Therefore, from the information depicted above, for every 3 kiwis, there'll be 4 bananas.

In conclusion, the correct option is A.

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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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