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kvv77 [185]
3 years ago
10

A population of size 320 has a proportion equal to .60 for the characteristic of interest. What are the mean and the standard de

viation, respectively, of the sample proportion for samples of size 12?a. .60 and.02 b. 192 and 45 c. .60 and.14 d. 320 and.0
Mathematics
1 answer:
tiny-mole [99]3 years ago
6 0

Answer:

The answer is c.) 0.6 and 0.14

Step-by-step explanation:

Given population has a size of 320.

The proportion of population = 0.6

The mean of population, p = 0.6

The mean of sample, \hat{p}= 0.6

Therefore \hat{q}  = 1 - \hat{p} = 1 - 0.6  = 0.4

The sample size  = 12

Therefore the standard deviation of the sample,

s = \sqrt{\frac{\hat{p}(1 - \hat{p})}{n} }  = \sqrt{\frac{0.6 \times 0.4}{12} }  = 0.1414

The mean and the standard deviation for a sample size of 12 are 0.6 and 0.14 respectively.

The answer is c.) 0.6 and 0.14

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ladessa [460]

Answer:

final answer is 6

Step-by-step explanation:

Given f(x)=6x-2

To find the difference quotient use formula

\frac{f(x+h)-f(x)}{h}

f(x)=6x-2

f(x+h)=6(x+h)-2=6x+6h-2

Now plug it in the formula

\frac{f(x+h)-f(x)}{h}

\frac{6x+6h-2-(6x-2)}{h}

\frac{6x+6h-2-6x+2)}{h}

\frac{6h}{h}

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3 years ago
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Akimi4 [234]

Answer:

the probability of the dice is 1/6 and the probability of the spinner is 1/4.

Step-by-step explanation:

the probability of the dice=E/S=E=1 and S=6 because it is one dice. so P=1/6.

the probability of the spinner=E/S=E=1 and S=4 because the spinner is divided into 4. so P=1/4

5 0
3 years ago
Solving Exponential and Logarithmic Equations In Exercise, solve for x.<br> In 2x - In(3x - 1) = 0
LenKa [72]

Answer:

\frac{-1}{3x^2-x}

Step-by-step explanation:

  1. If f(x) is in th form of f(x)=g(x)-h(x) then f'(x)=g'(x) - h'(x)
  2. When f(x)=z(g(x)) then f'(x)= z'(g(x))g'(x) (called as chain rule)

<u>using these information</u>:

g(x)=ln2x then g'(x)=\frac{(2x)'}{2x} =\frac{2}{2x}=\frac{1}{x}

h(x)=In(3x - 1) then h'(x)=\frac{(3x-1)'}{3x-1} =\frac{3}{3x-1}f'(x)=g'(x) - h'(x) =[tex]\frac{1}{x} - \frac{3}{3x-1} =\frac{-1}{3x^2-x}

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The cost of the roof is $240

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harina [27]
We evaluate b^2 - 4ac.  If the answer is positive, then there are two real solutions.  If it is zero, there is one real solution.  If it is negative, there are 2 complex solutions.  In this equation, a = 1, b = 5, c = 7.  Now we plug in the numbers.

5^{2}-4*1*7=1

Because this answer is positive, there are two real solutions.

7 0
3 years ago
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