What is the slope of a line that is perpendicular to a line whose equation is 3y=−4x+2 ?

A random sample of n = 45 observations from a quantitative population produced a mean x = 2.5 and a standard deviation s = 0.26.

oee [108]

Answer:

P-value (t=2.58) = 0.0066.

Note: as we are using the sample standard deviation, a t-statistic is appropiate instead os a z-statistic.

As the P-value (0.0066) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the population mean μ exceeds 2.4.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the population mean μ exceeds 2.4.

Then, the null and alternative hypothesis are:

$H_0: \mu=2.4\\\\H_a:\mu> 2.4$

The significance level is 0.05.

The sample has a size n=45.

The sample mean is M=2.5.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=0.26.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{0.26}{\sqrt{45}}=0.0388$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{2.5-2.4}{0.0388}=\dfrac{0.1}{0.0388}=2.58$

The degrees of freedom for this sample size are:

$df=n-1=45-1=44$

This test is a right-tailed test, with 44 degrees of freedom and t=2.58, so the P-value for this test is calculated as (using a t-table):

$P-value=P(t>2.5801)=0.0066$

As the P-value (0.0066) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the population mean μ exceeds 2.4.

7 0

3 years ago

Which expression shows how to convert 60 hours to days

torisob [31]

Answer

60 hours = 2.5 days

Step-by-step explanation:

1 day = 24 hours

2 days = 48 hours

3 days = 72 hours

so 60 hours in = to 2.5 days

hope this helps

7 0

3 years ago

Read 2 more answers

A company that manufactures storage bins for grains made a drawing of a silo. The silo has a conical base, as shown below: The f

Romashka-Z-Leto [24]

The following that could be used to calculate the total volume of grains that can be stored in the silo is π(2 ft)²8 ft + 1/3π(2 ft)²(9.5 ft - 8ft)

To answer the question, we need to know what volume is.

<h3>What is volume?</h3>

This is the capacity of a material or container.

Since the silo is made of a cylindrical and a conical part, we need to find the volume of both parts.

<h3>Volume of cylindrical part.</h3>

So, the volume of the cylindrical part V = πr²h where

r = radius of cylidrical part = 4 ft/2 = 2 ft and
h = length of cylindrical part = 8 ft.

So, V = πr²h

V = π(2 ft)²8 ft

<h3>Volume of the conical part</h3>

The volume of the conical part is given by V' = 1/3πr²h where

r = radius of cone = 2ft and
h = height of cone.

Since the entire length of silo is 9.5 ft and length of cylindrical part is 8 ft, then the height of cone is h' = 9.5 ft - 8 ft

So, V' = 1/3πr²h'

V' = 1/3π(2 ft)²(9.5 ft - 8ft)

<h3>Total volume of grains in silo</h3>

The total volume of grains equals the total volume of the silo V" = V + V'

V" = π(2 ft)²8 ft + 1/3π(2 ft)²(9.5 ft - 8ft)

So, the following that could be used to calculate the total volume of grains that can be stored in the silo is π(2 ft)²8 ft + 1/3π(2 ft)²(9.5 ft - 8ft)

Learn more about volume here:

brainly.com/question/25248189

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7 0

2 years ago

Edgar has taken out a $6,250 unsubsidized Stafford loan to fund his four-year undergraduate degree. The loan has a duration of 1

abruzzese [7]

The present worth of the loan is <span>$6,250
</span>The start of payment will after 4 years
The nominal interest rate is 6.1% compounded monthly which is equal to 6.27% effective.

The future worth (after graduation) of the loan is
F = <span>$6,250 (1 + 0.0627)^4 = $7,971.18

The interest is
</span>$7,971.18 - $6,250 = $1,721.18
I didn't round off when solving these so it's not the exact answer among the choices but the closest is letter B <span>$1,722.22</span>

5 0

3 years ago

Xavier works at Art Van Furniture. He is paid on commission. He receives 12% of

Scilla [17]

Based on the commission that Xavier receives from Art Van Furniture, the total value of the furniture sold is $5,500.

<h3>How much furniture did Xavier sell?</h3>

The commission that Xavier earns on his first $1,000 should be removed to be:

= 930 - (12% x 1,000)

= $810

This value of $810 is 18% of the balance of Xavier's sales:

= 810 / 18%
= $4,500

Added to the first $1,000, Xavier's total sales are:

= 4,500 + 1,000

= $5,500

Find out more on commission based income at brainly.com/question/13873976

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7 0

1 year ago