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Alexandra [31]
3 years ago
11

Find the length of GV

Mathematics
1 answer:
levacccp [35]3 years ago
6 0

Answer:

43.92

Step-by-step explanation:

First you need the measure of angle C

180 - 90 - 37 = 53 degrees

Then use the Law of Sines with the pair you know:

sin 90 / 55 = sin 53 / x

Solve the equation

x * sin 90 / 55 = sin 53

x * sin 90 = 55 * sin 53

x = 55 * sin 53/sin 90

x = 43.92

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A random sample of 121 checking accounts at a bank showed an average daily balance of $280. The standard deviation of the popula
klasskru [66]

Answer:

False

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem

Sample of 121, which is higher than 30.

So we do not need to know anything about the shape of the distribution in order to make an interval estimate of the mean of all the account balances.

So the answer is False

8 0
4 years ago
Person A leaves his home to visit his​ cousin, person​ B, who lives 243 miles away. He travels at an average rate of 46 miles pe
Korvikt [17]
They meet (or pass) each other two hours after B leaves.

When B starts trip A has already gone 23 miles (46 x 0.5)
This means they are still 220 miles apart.
Their closing speed is 46 + 64 = 110 mph.
They will meet 2 hours after B leaves home. (220 / 110)

A will have travelled 46 x 2.5 = 115 miles and B will have travelled 2 x 64 = 128 miles

5 0
3 years ago
Everyone keeps on ignoring me): please help will mark brainliest):
Anvisha [2.4K]

Answer:

Step-by-step explanation:

They are testing whether you remember the basic 30,60,90 degree triangle side relationship. The ratio of sides for this triangle are 1 opposite the 30 degree angle, square root of three opposite the 60 degree angle and a hypotenuse of 2 opposite the 90 degree angle.

x/2=2/1

x=4/1=4

bottom answer choice

x/4=3^(1/2)/1

x=4(3^(1/2))

third answer choice

4 0
3 years ago
-3(2x + 8) =<br> A) -6x + 8<br> B) 6x + 24<br> C) -6x + 24<br> D) -6x - 24
Katen [24]

Answer:

D

Step-by-step explanation:

5 0
3 years ago
A particular computer takes 13 minutes to download a 39​-minute TV show. How long will it take the computer to download a 2​-hou
ZanzabumX [31]
Since 2 hours is 120 minutes, then

\bf \begin{array}{ccll}&#10;\stackrel{download}{minutes}&\stackrel{show}{minutes}\\&#10;\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\&#10;13&39\\&#10;x&120&#10;\end{array}\implies \cfrac{13}{x}=\cfrac{39}{120}\implies \cfrac{13\cdot 120}{39}=x
5 0
3 years ago
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