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Verizon [17]
3 years ago
7

Find the value of e, the margin of error, for c = 0.95, n = 15 and s = 5.6.

Mathematics
1 answer:
IceJOKER [234]3 years ago
6 0

Answer:

0.58045

Step-by-step explanation:

Given is

c=0.95

n=15

s=5.6

The formula for the margin of error is

= c * \sqrt{\frac{s}{n} }

putting in the values

Margin of error = 0.95 * \sqrt{\frac{5.6}{15} }

                          =0.95 * 0.611

                          = 0.58045      

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Brianna went to the store to buy some clothes. She bought 9 pairs of pants at $20 per pair of pants, and 11 shirts that cost $15
stealth61 [152]

Answer:

$345 : whichever is closest

Step-by-step explanation:

Pants were $20 each and she bought 9 of them so multiply:

9x20=180

She paid $180 for 9 pants.

Shirts cost $15 each and she bought 11 of them so Mulitply:

15x11=165

She paid $165 for 11 shirts

Add both totals from pants and shirts

165+180=$345

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3 years ago
B. How much information could be transmitted in 30,000 packets?
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Answer:

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Step-by-step explanation:

7 0
3 years ago
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A filter filled with liquid is in the shape of a vertex-down cone with a height of 9 inches and a diameter of 6 inches at its op
Alina [70]

Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

Step-by-step explanation:

Since we have given that

Height = 9 inches

Diameter = 6 inches

Radius = 3 inches

So, \dfrac{r}{h}=\dfrac{3}{9}=\dfrac{1}{3}\\\\r=\dfrac{1}{3}h

Volume of cone is given by

V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{1}{3}\pi \dfrac{1}{9}h^2\times h\\\\V=\dfrac{1}{27}\pi h^3

By differentiating with respect to time t, we get that

\dfrac{dv}{dt}=\dfrac{1}{27}\pi \times 3\times h^2\dfrac{dh}{dt}=\dfrac{1}{9}\pi h^2\dfrac{dh}{dt}

Now,  the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie \dfrac{dv}{dt}=-4\ in^3

and h = 2 inches deep.

-4=\dfrac{1}{9}\times \pi\times (2)^2\dfrac{dh}{dt}\\\\-9\pi =\dfrac{dh}{dt}\\\\-28.28=\dfrac{dh}{dt}

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3 years ago
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Answer:

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Step-by-step explanation:

8 0
3 years ago
2. BT bisects ZABC. MZABT = 4x-16 and m CBT = 2x + 6 Find MZABT.
Paladinen [302]

Answer:

The measure of angle ABT is 28°

Step-by-step explanation:

* Lets revise the bisector of a angle

- If a ray bisects and angle that mean the ray divide the angle into

 two equal parts in measure

- Ex: if the ray BD bisects angle ABC, then the measure of angle ABD is

 equal to the measure of angle CBD

* Lets solve the problem

∵ BT bisects ∠ABC

∴ m∠ABT = m∠CBT

∵ m∠ABT = 4x - 16

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∴ 4x - 2x = 6 + 16

∴ 2x = 22 ⇒ divide both sides by 2

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∵ m∠ABT = 4x - 16

- Substitute x by 11

∴ m∠ABT = 4(11) - 16 = 44 - 16 = 28°

* The measure of angle ABT is 28°

6 0
3 years ago
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