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2 years ago

Look at this graph:

Mathematics

1 answer:

Elanso [62]2 years ago

8 0

Answer:

Step-by-step explanation:

slope=rise/run=2/1=2

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Mariylnn is going to paint a wall in her bedroom. The wall is 15 feet long and 8 feet tall. The window takes up an area 6 feet l

USPshnik [31]

Answer:

96 square feet

Step-by-step explanation:

What we need to do here, is find the total area of Mariylnn's wall, and subtract the area of her window from that.

Area of wall:

15*8=120

Area of window:

4*6=24

Area of wall without window:

120-24=96

8 0

3 years ago

The volume of a cylinder is 24 cubic feet. What is the volume of a cone having the same base and same height?

natima [27]

The volume is 8 cubic feet, because the volume of a cone is 1/3 the volume of a cylinder with the same dimensions.

3 0

3 years ago

What graph can be used to solve the equation 2x - 1 = x + 2?

storchak [24]

Answer:

Step-by-step explanation:

3 0

2 years ago

A circular gear turns 60 per hour. through how many radians does it turn in a 24-hour day?

Phantasy [73]

For 1 turn it passes through 2 pi radians

So number of radians it turns through in 24 hours = 60 * 24 * 2 pi = 9047.8 radians to nearest tenth.

4 0

3 years ago

Read 2 more answers

A random sample of 42 college graduates who worked during their program revealed that a student spent an average 5.5 years on th

Neko [114]

Answer:

$5.5-2.701\frac{1.1}{\sqrt{42}}=5.04$

$5.5+2.701\frac{1.1}{\sqrt{42}}=5.96$

So on this case the 99% confidence interval would be given by (5.04;5.96)

And the best option would be:

a. 5.04 and 5.96

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=5.5$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=1.1 represent the sample standard deviation

n=42 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=42-1=41$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,41)".And we see that $t_{\alpha/2}=2.701$

Now we have everything in order to replace into formula (1):

$5.5-2.701\frac{1.1}{\sqrt{42}}=5.04$

$5.5+2.701\frac{1.1}{\sqrt{42}}=5.96$

So on this case the 99% confidence interval would be given by (5.04;5.96)

And the best option would be:

a. 5.04 and 5.96

3 0

3 years ago