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3 years ago

14

Jamie will plot ( 9, 5 ) on a coordinate plane. She knows the last step is to put a point where to lines intersect. Which two st

eps should she use first?

1 answer:

ollegr [7]3 years ago

5 0

Answer:

Step-by-step explanation:

54

I think

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Suppose 52% of the population has a college degree. If a random sample of size 563563 is selected, what is the probability that

amm1812

Answer:

The value is $P(| \^ p - p| < 0.05 ) = 0.9822$

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.52$

The sample size is n = 563

Generally the population mean of the sampling distribution is mathematically represented as

$\mu_{x} = p = 0.52$

Generally the standard deviation of the sampling distribution is mathematically evaluated as

$\sigma = \sqrt{\frac{ p(1- p)}{n} }$

=> $\sigma = \sqrt{\frac{ 0.52 (1- 0.52 )}{563} }$

=> $\sigma = 0.02106$

Generally the probability that the proportion of persons with a college degree will differ from the population proportion by less than 5% is mathematically represented as

$P(| \^ p - p| < 0.05 ) = P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 ))$

Here $\^ p$ is the sample proportion of persons with a college degree.

So

$P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P(\frac{[[0.05 -0.52]]- 0.52}{0.02106} < \frac{[\^p - p] - p}{\sigma } < \frac{[[0.05 -0.52]] + 0.52}{0.02106} )$

Here

$\frac{[\^p - p] - p}{\sigma } = Z (The\ standardized \ value \ of\ (\^ p - p))$

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P[\frac{-0.47 - 0.52}{0.02106 } < Z < \frac{-0.47 + 0.52}{0.02106 }]$

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P[ -2.37 < Z < 2.37 ]$

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = P(Z < 2.37 ) - P(Z < -2.37 )$

From the z-table the probability of (Z < 2.37 ) and (Z < -2.37 ) is

$P(Z < 2.37 ) = 0.9911$

and

$P(Z < - 2.37 ) = 0.0089$

So

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) =0.9911-0.0089$

=> $P( - (0.05 - 0.52 ) < \^ p < (0.05 + 0.52 )) = 0.9822$

=> $P(| \^ p - p| < 0.05 ) = 0.9822$

3 0

3 years ago

What is the value of x?

kicyunya [14]

Answer:

(5(x-4))0

evaluate

1

Step-by-step explanation:

your answer is one i believe

6 0

3 years ago

Read 2 more answers

identify which number is greater with the symbols > or < or ~ (approximate) pls have the explanation as well thank you!! -

grin007 [14]

Answer:

-3.3>-10/3

Step-by-step explanation:

-10.3 is equal to -3.3333333333....

-3.3 just stops at the tenths so there is 0.033333333 more in -10/3. The higher the negative number the lower it is, for example -3>-4. Therefore, -3.3>-10/3.

4 0

3 years ago

The area is 24 what are the possible dimensions l×w

taurus [48]

Hey there I see you need help well that's why I am here for a square the one side could be 6 or for a rectangle the l vould be 6 and the W could be 4 or 8 and 3 or lastly 12 and 2 hope this helps

5 0

3 years ago

Read 2 more answers

You bought 8 gumdrops for 2¢ apiece. For the same amount of money, how many gumdrops can you buy at 8¢ apiece? gumdrops

ser-zykov [4K]

First, how much did you spend on the 8 gumdrops at 2 cents a piece?

8 gumdrops at 2 cents a piece is 16 cents
8 gumdrops x 2 cents = 16 cents

So, if you have 16 cents to spend on gumdrops and they are 8 cents a piece, how many can you buy?
16 / 8 = 2

You can buy 2 gumdrops for the same amount of money.

5 0

2 years ago