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3 years ago

HELP it's Geometry HW I WILL GIVE BRAIN LIST AND 5 STARS

Mathematics

1 answer:

Margaret [11]3 years ago

3 0

Number one: if line segments SR & RT are perpendicular line segment Tu and US are perpendicular and angle STR is congruent to angle TSU, then triangle TRS is congruent to triangle SUT
Number two: if line segment AC is congruent to line segment CB and line segment CB bisects line segment AB, then < a is congruent to < B

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In a random sample of 80 teenagers, the average number of texts handled in a day is 50. The 96% confidence interval for the mean

Nastasia [14]

Answer:

a) $\bar X =\frac{46+54}{2}=50$

And the margin of error is given by:

$ME= \frac{54-46}{2}= 4$

The confidence level is 0.96 and the significance level is $\alpha=1-0.96=0.04$ and the value of $\alpha/2 =0.02$ and the margin of error is given by:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

We can calculate the critical value and we got:

$z_{\alpha/2} = 2.05$

And if we solve for the deviation like this:

$\sigma = ME * \frac{\sqrt{n}}{z_{\alpha/2}}$

And replacing we got:

$\sigma =4 *\frac{\sqrt{80}}{2.05} =17.45$

b) $ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}=2.05 *\frac{17.45}{\sqrt{160}}=2.828$

And as we can see that the margin of error would be lower than the original value of 4, the margin of error would be reduced by a factor $\sqrt{2}$

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".

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma$ represent the population standard deviation

n=80 represent the sample size

Solution to the problem

Part a

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

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

For this case we can calculate the mean like this:

$\bar X =\frac{46+54}{2}=50$

And the margin of error is given by:

$ME= \frac{54-46}{2}= 4$

The confidence level is 0.96 and the significance level is $\alpha=1-0.96=0.04$ and the value of $\alpha/2 =0.02$ and the margin of error is given by:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

We can calculate the critical value and we got:

$z_{\alpha/2} = 2.05$

And if we solve for the deviation like this:

$\sigma = ME * \frac{\sqrt{n}}{z_{\alpha/2}}$

And replacing we got:

$\sigma =4 *\frac{\sqrt{80}}{2.05} =17.45$

Part b

For this case is the sample size is doubled the margin of error would be:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}=2.05 *\frac{17.45}{\sqrt{160}}=2.828$

And as we can see that the margin of error would be lower than the original value of 4, the margin of error would be reduced by a factor $\sqrt{2}$

5 0

3 years ago

In 6-8, each table represents a linear relationship. Use the slope formula to find the slope or rate of change shown in each tab

dimaraw [331]

The slopes of the relationships are given as follows:

6. 5.

7. 1.

<h3>What is the complete question?</h3>

The problem is incomplete, as the tables are not readable, but researching it on a search engine, we find that:

For item 6, we have points (2,8) and (6,28).

For item 7, we have points (-6,5) and (4,10).

<h3>How to find the slope of a line given two points?</h3>

Given two points in the format (x,y), the slope of the line is given by change in y divided by change in x.

Hence, the slopes for each problem are given as follows:

6. m = (28 - 8)/(6 - 2) = 20/4 = 5.

7. m = (10 - 5)/(4 - (-6)) = 10/10 = 1.

More can be learned about the slope of a line at brainly.com/question/24808124

#SPJ1

5 0

1 year ago

Read 2 more answers

A student bought some pens at 8 each and some pencils at 31.50 each. If the total

Wittaler [7]

Step-by-step explanation:

Letthenumberofpensbexand

numberofpencilsbey

then

x+y=16ory=16−x

andtheirvalue

8x+1.5y=50

8x+(

)(16−x)=50

8x+24−(

)x=50

8x−(

)x=50−24

(

13x

)=26∴x=4

theny=16−x=16−4=12

5 0

3 years ago

Find CD if C(0,3) and D(4,7)

weeeeeb [17]

$C(0,3) \\
x_1=0 \\
y_1=3 \\ \\
D(4,7) \\
x_2=4 \\
y_2=7 \\ \\
\overset{\underline{\ \ \ \ }}{CD} =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(4-0)^2+(7-3)^2}= \\
=\sqrt{4^2+4^2}=\sqrt{16+16}=\sqrt{16 \times 2}=4\sqrt{2} \\ \\
\boxed{\overset{\underline{\ \ \ \ }}{CD} = 4\sqrt{2}}$

7 0

4 years ago

Witch one is this the answer for I have a lot more questions so stick around if you can help me

tatiyna

-70.04 B would be the correct one

4 0

4 years ago

HELP it's Geometry HW I WILL GIVE BRAIN LIST AND 5 STARS​

HELP it's Geometry HW I WILL GIVE BRAIN LIST AND 5 STARS