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3 years ago

10

Please can any one help me on this Thank you so much

2 answers:

photoshop1234 [79]3 years ago

7 0

The answer is 36!
Hope this helps!

alexandr1967 [171]3 years ago

3 0

It's 36!!!! hope that helped

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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

While testing a new pesticide, an agricultural scientist uses two functions to predict the yields of two same-sized potato farms

Pepsi [2]

Answer:

A. h(x)= -5.86x^2 + 23.37x + 34

Step-by-step explanation:

If the scientist uses the same amount of pesticide on the two farms then the x's of the functions are the same.

Then, the combined yield $h(x)$ of the two farms is just the yield of the first farm plus the yield of the second farm:

$h(x)=f(x)+g(x)$ .

Now, since

$f(x)= -2.43x^2+10.37x+9$

and

$g(x)= -3.43x^2+13x+25$ ,

then

$h(x)= (-2.43x^2+10.37x+9)+(-3.43x^2+13x+25)$

we add the coefficients of the corresponding terms to get:

$h(x)= (-2.43x^2-3.43x^2)+(10.37x+13x)+(9+25)$

$\boxed {h(x)=-5.86 x^2 + 23.37 x + 34.}$

Which is choice A.

4 0

3 years ago

Can someone answer my question please

Charra [1.4K]

Answer:

Step-by-step explanation:

Arc length=∅/360×2πr (can't find the symbol of theta, use ∅ instead LOL)

$\frac{\theta }{360}\cdot 2\pi \left(11\right)=16$

$\frac{\theta }{360}=\frac{16}{22\pi }$

$\theta \:=\frac{16}{22\pi \:}\cdot 360$

${\theta}=83.34$

8 0

3 years ago

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You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost? Include a let statement

ZanzabumX [31]

Answer:

5$??.

Step-by-step explanation:

If a magazine was 5$, 25-5= 20. So then, 20÷4= 5. There fore an eraser costs 5$.

3 0

3 years ago

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Approximate the logarithm using the properties of logarithms, given

Alekssandra [29.7K]

Answer:

-0.2084

Step-by-step explanation:

$log_{b}( \frac{2}{3} ) \\ \\ = log_{b}(2) - log_{b}(3) \\ \\ =0.3562 - 0.5646 \\ \\ = -0.2084$

4 0

3 years ago