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almond37 [142]

Answer:

Range of the function → {24, 375}

Step-by-step explanation:

Domain of the function f(x) = 3x³ is {2, 5}

we have to find the range when its domain is {2, 5}

Since x-values of any function define the domain and y-values define the range.

For x = 2,

f(2) = 3(2)³ = 24

For x = 5,

f(5) = 3(5)³ = 375

Therefore, range of the given function for the given domain will be {24, 375}.

4 0

4 years ago

McKenna pays $16 per month for a gym membership. In addition, she pays $2 per Pilates class.

True [87]

$16 per month can be changed to 16m where m represents months.

The $2 per Pilates class can be 2p where p represents Pilates classes.

An equation of y = 16m + 2p can be set up, where y represents how much McKenna is charged total for gym membership ($52)

52 = 16m + 2p

We know that McKenna attended 12 Pilates classes, and we also know that McKenna attended 1 month, so we plug this in:

52 = 16(1) + 2(12) (simplify)

52 = 16 + 24 (add 24)

52 = 40

Since this is not equal, $52 is not the correct amount to be charged.

4 0

4 years ago

Read 2 more answers

The sales tax in mike's state is 6%. mike bought a jetta having a sales tax of $820. what was the cost of the vehicle? round to

Tems11 [23]

$13, 666.67
because you would do 820 divided by 0.06 and you get 13,666.6667 which you round to 13,666.67

6 0

4 years ago

Consider estimating a population proportion p. What is the most conservative sample size (erring on the large size) required in

just olya [345]

Answer:

The most conservative sample size is 2401.

Step-by-step explanation:

We are given the following in the question:

We are not given any approximation of s]ample proportion, thus,

$\hat{p} = 0.5$

We have to construct a 95% confidence interval.

Margin of error = 2% = 0.02

Formula for margin of error =

$z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting values, we get,

$0.02 = 1.96\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\0.02 = 1.96\times \sqrt{\dfrac{0.5(1-0.5)}{n}}\\\\\sqrt{n} = 1.96\times \dfrac{\sqrt{0.5(1-0.5)}}{0.02}\\\\\sqrt{n}=49\\n = 2401$

Thus, the most conservative sample size is 2401.

3 0

3 years ago

The weights, in pounds, of a group of student are as follows: 173 123 171 175 188 120 177 160 151 169 162 128 145 140 158 132 20

Akimi4 [234]

Mean: 160.12
Standard Deviation: 19.76
Median: 162
Maximum: 202
Minimum: 120

The mean is calculated by adding all of the numbers in the data set and dividing by the number of values that were added:

173 + 123 + 171 + 175 + 188 + 120 + 177 + 160 + 151 + 169 + 162 + 128 + 145 + 140 + 158 + 132 + 202 + 162 + 154 + 180 + 164 + 166 + 157 + 171 + 175 ÷ 25 = 160.12

Standard deviation is found by calculating the mean (160.12) , and then subtracting the mean and square root result for each number. Finally, working out the mean of the squared differences and taking the square root of the final answer results in a standard deviation of 19.76. (The attached image has the formula for finding standard deviation).

Median is the number that is found in the middle when placing the numbers in order from least to greatest.

The maximum is the largest number in the data set.

The minimum is the smallest number in the data set.

5 0

4 years ago

Read 2 more answers

Help any tutor plz ​

Help any tutor plz