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Stells [14]
2 years ago
15

Please help me guys ​

Mathematics
2 answers:
Scorpion4ik [409]2 years ago
5 0

Step-by-step explanation:

please mark me as brainlist please

wariber [46]2 years ago
4 0

Step-by-step explanation:

midpoint : it is the point in the middle marking half of the total distance.

therefore,

1)

EV = LE = LV/2

10 = 5m

m = 2

2)

LR = RO = LO/2

n + 4 = 12

n = 8

3)

LER and LVO are similar triangles. that means they have the same angles, and the ratio of one corresponding pair of lines or sides between both triangles is the same for all corresponding line pairs.

we know e.g. LE/LV = 1/2.

the same ratio applies then to ER/VO = 1/2 = 18/20p.

18/20p = 1/2

18 = 20p/2

2×18 = 20p

36 = 20p

p = 36/20 = 9/5 = 1.88888888888...

4)

VL = 2×EL = 2×10 = 20

5)

LO = 2×RO = 2×12 = 24

6)

as we have already calculated for 3) :

VO = 36

7)

36 + 20 + 24 = 80

8)

10 + 12 + 18 = 40

9)

remember, the and angles in similar triangles.

LVO = 52°

10)

all angles around a single point in one side of a line are together 180°.

in this case there are 2 angles around E : LER and VER.

VER = 180 - LER = 180 - 52 = 128°

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Answer:

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Step-by-step explanation:

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3x = 31
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If you want to be 95​% confident of estimating the population mean to within a sampling error of plus or minus3 and the standard
Aleksandr [31]

Answer:

The sample size required is at least 171

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

What sample size is​ required?

A samle size of at least n is required, in which n is found when M = 3, \sigma = 20

So

M = z*\frac{\sigma}{\sqrt{n}}

3 = 1.96*\frac{20}{\sqrt{n}}

3\sqrt{n} = 20*1.96

\sqrt{n} = \frac{20*1.96}{3}

(\sqrt{n})^{2} = (\frac{20*1.96}{3})^{2}

n = 170.7

Rouding up

The sample size required is at least 171

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