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3 years ago

What is a rule for

Mathematics

1 answer:

USPshnik [31]3 years ago

7 0

Answer:

Step-by-step explanation:f(h(x))= 2x -21

f(x)= x^3 - 6

h(x)=\sqrt[3]{2x-15}

WE need to find f(h(x)), use composition of functions

Plug in h(x)

f(h(x))=f(\sqrt[3]{2x-15})

Now we plug in f(x) in f(x)

f(h(x))=f(\sqrt[3]{2x-15})=(\sqrt[3]{2x-15})^3 - 6

cube and cube root will get cancelled

f(h(x))= 2x-15 -6= 2 x-21

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Find the tenth term in each sequence 32, 42, 50, 58, 66

kotykmax [81]

Answer:

106

Step-by-step explanation:

The pattern is +8. 66 is the last number given which is the 5th number. So we need to have five numbers. we can do 8*5=40 and add 40 to 66. Your answer is 106.

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3 years ago

Find P(Q|R) <br> A. 3/22<br> B. 3/7<br> C. 8/15<br> D. 8/11

joja [24]

Answer: the answer is C

Step-by-step explanation:

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3 years ago

Lynn measured the length of her front yard by counting her strides. The yard measured 18.5 feet long. Emily measured the same ya

Shalnov [3]

Answer:

8.11%

Step-by-step explanation:

We need to find the percentage error. We can follow the formula shown below:

$PE=\frac{New-Orig}{Orig}*100$

Where

PE is the Percentage Error

New is the newest measure (given as 20 feet)

Orig is the original, or first, measure (given as 18.5)

Substituting and finding the PE:

$PE=\frac{New-Orig}{Orig}*100\\PE=\frac{20-18.5}{18.5}*100\\PE=\frac{1.5}{18.5}*100\\PE=8.11$

Tagging the percentage , percent error is about 8.11%

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3 years ago

HighTech Inc. randomly tests its employees about company policies. Last year in the 560 random tests conducted, 26 employees fai

Tanzania [10]

Answer:

The 98% confidence interval for the proportion of applicants that fail the test is (0.025, 0.067).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

560 random tests conducted, 26 employees failed the test. This means that $n = 560, \pi = \frac{26}{560} = 0.046$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.33$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.046 - 2.33\sqrt{\frac{0.046*0.954}{560}} = 0.025$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.046 + 2.33\sqrt{\frac{0.046*0.954}{560}} = 0.067$

The 98% confidence interval for the proportion of applicants that fail the test is (0.025, 0.067).

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4 years ago

The lowest elevation in Louisiana is 8 feet below sea level the highest version is 535 feet above sea level what is the differen

ELEN [110]

8(highest)+535(lowest)=543

an easy way to get the answer is to just add the two numbers together because your just trying to find how far it is between -535 and a positive 8.

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3 years ago