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3 years ago

Two rays or line segments that have the same endpoint

1 answer:

8 0

A line segment is a part of a line that has two defined endpoints. A ray is named by its endpoint and by another point on the line. The angle that is formed by two rays that have the same endpoint is called the vertex.

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Please help ...............

Alina [70]

Answer:

Step-by-step explanation:

(look at the picture)

We have opposite and adjacent. Therefore we must use the tangent:

$\tangent=\dfrac{opposite}{adjacent}$

$adjacent=500\\opposite=x\\\tan10^o\approx0.1763$

Substitute:

$\dfrac{x}{500}\approx0.1763$ <em>multiply both sides by 500</em>

$x\approx88.15\to x\approx88.2$

3 0

3 years ago

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

4 years ago

198 is 33% of what number?<br> Please show work<br> Can Robtobey help me and others :) ...?

Ghella [55]

First, you have to convert 33% to decimals by dividing it to 100. And that would be 0.33.
Then you want to know the 100 percent of 198 because it's just a 33% part of a whole.
You will have to divide 198 by 33% or 0.33 to get the whole. So the answer would be 600.

8 0

3 years ago

Heeeeeeeeeeeeeeeeeeeeeeeelpppppppppppp

padilas [110]

Answer:

Slope = -⁵/3

Step-by-step explanation:

See the attachment below. In the attachment, the green line represents the the rise while the red line represents the run of the line.

The slope = rise/run

Rise = 5

Run = 3

Slope = -(5/3)

Slope = -⁵/3 (the slope would be negative because the line slants downwards from your left to the right)

4 0

3 years ago

Keith is using photo software to enlarge a photograph that is 4 inches by 6 inches to 9 inches by 13.5 inches. What is the scale

Slav-nsk [51]

Answer:

2.25

Step-by-step explanation:

The old width of 4 inches became a new width of 9 inches.

Old: 4 in.

New 9 in.

The old length of 6 inches became a new length of 13.5 inches.

Divide the new size by the corresponding old size.

9/4 = 2.25

13.5/6 = 2.25

You see in both cases, the scale factor is 2.25

The scale factor is 2.25

4 0

3 years ago