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3 years ago

10

One-sixth equals the quotient of a number and 30. Find the number.

1 answer:

Makovka662 [10]3 years ago

5 0

180 because 30/180 can be simplified to 1/6 by dividing both numerator and denominator by 30

5 because 5/30 can be simplified to 1/6 by dividing both numerator and denominator by 5

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You believe the population is normally distributed. Find the 80% confidence interval. Enter your answer as an open-interval (i.e

victus00 [196]

You intend to estimate a population mean μ from the following sample. 26.2 27.7 8.6 3.8 11.6 You believe the population is normally distributed. Find the 80% confidence interval. Enter your answer as an open-interval (i.e., parentheses) accurate to twp decimal places.

Answer:

The Confidence interval = (8.98 , 22.18)

Step-by-step explanation:

From the given information:

mean = $\dfrac{ 26.2+ 27.7+ 8.6+ 3.8 +11.6 }{5}$

mean = 15.58

the standard deviation $\sigma$ = $\sqrt{\dfrac{\sum(x_i - \mu)^2 }{n}}$

the standard deviation = $\sqrt{\dfrac{(26.2 - 15.58)^2 +(27.7 - 15.58)^2 +(8.6 - 15.58)^2 + (3.8 - 15.58)^2 + (11.6 - 15.58)^2 }{5 } }$

standard deviation = 9.62297

Degrees of freedom df = n-1

Degrees of freedom df = 5 - 1

Degrees of freedom df = 4

For df at 4 and 80% confidence level, the critical value t from t table = 1.533

The Margin of Error M.O.E = $t \times \dfrac{\sigma}{\sqrt{n}}$

The Margin of Error M.O.E = $1.533 \times \dfrac{9.62297}{\sqrt{5}}$

The Margin of Error M.O.E = $1.533 \times 4.3035$

The Margin of Error M.O.E = 6.60

The Confidence interval = ( $\mu \pm M.O.E$ )

The Confidence interval = ( $\mu + M.O.E$ , $\mu - M.O.E$ )

The Confidence interval = ( 15.58 - 6.60 , 15.58 + 6.60)

The Confidence interval = (8.98 , 22.18)

7 0

3 years ago

The price of gas, which started at $2.25 per gallon, increased at a rate of 4% per year. Write the function that models the situ

Rina8888 [55]

<u>Answer:</u>

$f ( x ) = 2 . 2 5 ( 1 + 0 . 4 ) ^ x$

<u>Step-by-step explanation:</u>

We are given that the price of gas started at $2.25 and increased at a rate of 4% per year.

We are to write a function which models this situation using numerical values of A and r into the expression.

A = $2.25

r = 4%

Assuming x to be the time in years, the function would be:

$f ( x ) = 2 . 2 5 ( 1 + 0 . 4 ) ^ x$

<u></u>

6 0

3 years ago

Read 2 more answers

Sue invests £9000 in an account for one year.

Anika [276]

Answer:

£151.20

Step-by-step explanation:

20%= 100%divided by 5

To find 100% from 20% you x by 5

so you times 30.24 by 5

30.24x 5 = 151.2

So the answer is £151.20

interest percentage rate would be 1.6754%

3 0

3 years ago

What is the imagine point of (-1,-5) after a translation left 1 unit and up 4 units?

Katena32 [7]

Answer:

-2, -1

Step-by-step explanation:

So moving left would affect the x-axis.

Left would move it to the negatives so -1 - 1 = -2.

Moving up would affect the y-axis.

Up would move towards the positive so -5 + 4 = -1.

-2, -1

6 0

3 years ago

Mikkel pays a 4 percent state income tax on his earnings. If he earns $1,867, how much state income tax can he expect to pay?

Alenkinab [10]

Take 1,867 x .04 and you will get $74.68

4 0

4 years ago

Read 2 more answers