The mean age of swimmers for all these teams is 10 Which team has the greatest MAD?

The true statement is that Trace use more flour

The given parameters are:

Evaluate the quotients

Honey = 1 cup

Flour = 2 cups

2 is greater than 1

Hence, the true statement is that Trace use more flour

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Average weight of the kitten in the shelter = Total weight of the kittens / Number of kittens.

An average is a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list.

Here,

Average weight of the kittens in the shelter = Total weight of all kitten/ Number of kittens.

Hence, the average weight of the kitten in the shelter = Total weight of all kitten/ Number of kittens.

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Rachel and Frank spends $10.5 and $5.25 respectively.

It is given to us that

f is the amount of money that Frank spent and

r is the amount of money that Rachel spent.

Frank and Rachel together spent a total of $15.75.

Rachel spends twice as compare to Frank

The equation that represents this situation:

1. f + r = $15.75

2. r = 2f

Substituting r = 2f in equation 1.

f + r = 15.75

f + 2f = 15.75

3f = 15.75

f = 5.25

Substituting f = 5.25 in equation 2.

r = 2f

r = 2(5.25)

r = 10.5

Thus, Rachel spends $10.5 and Frank spends $5.25.

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Answer:

6, 7,8,9,10

When we set n= 3

Step-by-step explanation:

Step one

The rule n+3 states that we are allowed to add 3 to any number starting from n

Step two

To practically express this rule

Say n = 3

The pattern is

= 3+3, 4+3, 5+3,6+3,+3

= 6, 7 ,8 ,9 ,10

In this exercise we have to create a pattern by placing a rule, so this pattern is:

[tex]n+3=5, 6, 8, 10...[/tex]

We know that it is not an unknown that can be any value, so the values ​​of   n will only be prime numbers and its formula can be described as:

[tex]n= prime \ numbers\\n+3= rule\\2+3=5\\3+3=6\\5+3=8\\7+3=10[/tex]

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From the given fractions 3/8 is a terminating decimal.

A decimal with an end digit is referred to as a terminating decimal. It is a decimal, which means that its digits are limited.

To solve the question,

Use options,

(A)

3/8

Divide 3 by 8, by mathematical property,

3.75

3.75 has an end digit which is 5,

Therefore, the  given decimal is terminating decimal

In other option 2/3 and 4/6 gives repeating decimals 0.66666, similarly 7/9 is a repetitive decimal.

Hence, 3/8 is a terminating decimal.

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Answer:  The required time taken to drive 135 miles is 3 hours.

Step-by-step explanation:  We are given to find the time taken to drive 135 miles at a speed of 45 miles per hour.

We will be using the UNITARY method to solve the problem.

We have

Time taken to drive 45 miles = 1 hour.

So, time taken to drive 1 mile will be

[tex]\dfrac{1}{45}~\textup{hour}.[/tex]

Therefore, the time taken to drive 135 miles is given by

[tex]\dfrac{1}{45}\times135=3~\textup{hours}.[/tex]

Therefore, the required time taken to drive 135 miles is 3 hours.

Final answer:

To find the scale factor for the dilation of a pentagon from a side length of 4 to a side length of 5, divide the new dimension by the original dimension, resulting in a scale factor of 1.25.

Explanation:

The question asks about finding the scale factor used to dilate a pentagon from a side length of 4 to a side length of 5. To find the scale factor, we compare the new dimension to the original dimension. In this case, the side length of the second pentagon is 5, and the side length of the first pentagon is 4. To find the scale factor, we divide the new dimension by the original dimension, which is 5/4. Hence, the scale factor is 1.25.

To clarify, the scale factor is determined by dividing the new dimension (5) by the original dimension (4), yielding 5/4. Therefore, the scale factor is indeed 1.25. This indicates that each side of the pentagon has been multiplied by 1.25 to achieve the dilation from a side length of 4 to a side length of 5.

Answer:

The correct answer is C

Step-by-step explanation:

Answer:

Option:

B , C and D are the correct options.

Step-by-step explanation:

The goals of monetary policy are:

To promote maximum employment, stable price and moderate long term interest rate.

The three tools the Federal Reserve uses to enact monetary policy are:

B.)setting the reserve rate.

C.)setting the interest rate changed to commercial banks on loans from federal reserve. 

D.)The buying and selling of treasury bonds and other government-backed securities.

Answer:

The Rational form of [tex]\sqrt[4]{5^5}[/tex] is  [tex]5^{\frac{5}{4}}[/tex]

Step-by-step explanation:

Given : Radical form as [tex]\sqrt[4]{5^5}[/tex]

We have to write the given radical form in rational form.

Consider the given radical form as [tex]\sqrt[4]{5^5}[/tex]

We know the rational form of a root form is [tex]\sqrt[n]{x} =x^{\frac{1}{n}}[/tex]

Thus, The given expression has n = 4 and x = [tex]5^5[/tex]

[tex]\sqrt[4]{5^5}=(5^5)^{\frac{1}{4}}[/tex]

Also, Applying exponent rule, we have,

[tex](x^a)^b=x^ab[/tex]

Thus, [tex]5^{\frac{5}{4}}[/tex]

Thus, The Rational form of [tex]\sqrt[4]{5^5}[/tex] is  [tex]5^{\frac{5}{4}}[/tex]

The interquartile range(IQR) of the data set is:

                               10

The data points according to the stem and leaf plot are as follows:

           28    40    43    43    45   50    50

We know that the median of the data is the central tendency of the data and always lie in the middle of the data.

Here looking at the data we have:

Median= 43

Similarly the lower set of data is:

                    28    40    43

Hence, the first quartile or the lower quartile i.e. [tex]Q_1[/tex] is the median of the lower set of data.

Hence,

[tex]Q_1=40[/tex]

Similarly, the upper set of data is:

                 45   50   50

Hence, the upper quartile or the third quartile i.e. [tex]Q_3[/tex] is the median of the upper set of data.

Hence,

[tex]Q_3=50[/tex]

The interquartile range(IQR) is calculated as:

[tex]IQR=Q_3-Q_1\\\\IQR=50-40\\\\IQR=10[/tex]

A function is a special relation whose every input corresponds with a single output. To be a function, each input is allowed to pair with only one output element.

[tex] x^2+y-15=0\\ Adding \; 15 \; subtracting \; x^2\; on\; both\; sides\\ \\ y=-x^2+15 [/tex]

For a parabola equation like above, there is no restriction in the domain. For every x value there is a unique y value.

Conclusion:

The equation [tex] x^2+y-15=0 [/tex] is BOTH a function and a relation!

12 x 3/4 = 36/4 = 9

 she has walked 9 miles

Final answer:

Louise has walked 9 miles after completing 3/4 of her 12-mile fundraising walk. Thus, option b is correct.

Explanation:

The student's question asks how many miles Louise has walked if she has completed 3/4 of her 12-mile fundraising walk. To find the distance walked, multiply the total distance by the fraction completed. So, Louise has walked 3/4 of 12 miles, which is calculated as follows:

Multiply 3/4 by 12.

3/4 * 12 = 9.

Thus, Louise has walked 9 miles.

We can find L using [tex]\( L = \frac{1}{9}E \)[/tex]:

[tex]\[ L = \frac{1}{9} \times 9 = 1 \][/tex]

So, you have 1 lipstick.

To solve this problem, we'll work step by step.

Let's denote:

- L as the number of lipsticks.

- E as the number of eyeshadows.

- M as the number of mascaras.

Given:

1. The ratio of lipsticks to eyeshadows is 1:9, which means  L:E = 1:9 .

2. The ratio of eyeshadow to mascara is 3:2, which means E:M = 3:2 .

3. You have 3 more eyeshadows than mascaras, so  E = M + 3.

First, we'll use the information to establish the relationship between L, E, and M.

From the ratio L:E = 1:9, we can express L in terms of E:

[tex]\[ L = \frac{1}{9}E \][/tex]

From the ratio E:M = 3:2, we can express M in terms of E:

[tex]\[ M = \frac{2}{3}E \][/tex]

Now, we can substitute E = M + 3 into the equation for M:

[tex]\[ M = \frac{2}{3}(M + 3) \][/tex]

3M = 2(M + 3)

3M = 2M + 6

M = 6

Now that we have found M, we can find E using E = M + 3:

E = 6 + 3 = 9

Now that we have found E, we can find L using [tex]\( L = \frac{1}{9}E \)[/tex]:

[tex]\[ L = \frac{1}{9} \times 9 = 1 \][/tex]

So, you have 1 lipstick.