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DochEvi [55]
3 years ago
13

Suppose 13% of American adults believe that the highest priority of America is to protect freedom of speech. We will take a rand

om sample of 2 American adults and ask them the question. Then the sampling distribution of the sample proportion of people who answer yes to the question is___________.a. approximately Normal, with mean .b. 13 and standard error .c. 238 approximately Normal, with unknown mean and standard deviation. d. Binomial, with n=2 and p=.13. e. neither Normal, not Binomial.
Mathematics
1 answer:
Flura [38]3 years ago
4 0

Answer:

Then the sampling distribution of the sample proportion of people who answer yes to the question is d. Binomial, with n=2 and p=.13

Step-by-step explanation:

Here, we are given a probability that 13% of American adults believe that the highest priority of America is to protect freedom of speech, which means,  if we ask this question to a sample of American adults, they will answer 'yes' with a probability of p=0.13 and 'no' with a probability of q = 1=p = 1 - 0.13 = 0.87. So, we can say that there are 2 outcomes, either yes or no, each with probabilities p and q, respectively.

Hence, this is a binomial distribution with n=2 and p=0.13. Where n is the total number of people who answered the question and p is the probability of them answering 'yes'. d is the correct option.

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You have 10 cups of a cleaning solution that is 10% white vinegar and 90% water. You want the mixture to be 50% white vinegar an
vichka [17]
Whatever% of anything is just (whatever/100) * anything.

let's say we'll add "x" cups of pure vinegar, pure vinegar meaning is 100% vinegar.

how much vinegar is there in "x" cups of 100% vinegar?  well (100/100) * x, or just "x".

how much vinegar is there in 10 cups of 10% vinegar?  well, (10/100) * 10, or just 1.

say after adding the "x" cups to the 10 cups, we end up with "y" cups, of 50% of vinegar.

how much is 50% of y?  well, (50/100) * y or 0.5y.

bearing in mind that x+10 = y, both cups amounts added up, and that x+1=0.5y, both vinegar amounts added up, thus 

\bf \begin{array}{lccclll}
&\stackrel{cups}{amount}&\stackrel{vinegar~\%}{amount}&\stackrel{vinegar~cups}{quantity}\\
\textit{100\% vinegar}&x&1.00&x\\
\textit{10\% cups}&10&0.10&1\\
------&------&------&------\\
mixture&y&0.5&0.5y
\end{array}
\\\\\\
\begin{cases}
x+10=\boxed{y}\\
x+1=0.5y\\
----------\\
x+1=0.5\left( \boxed{x+10} \right)
\end{cases}
\\\\\\
x+1=0.5x+5\implies 0.5x=4\implies x=\cfrac{4}{0.5}\implies x=8
4 0
3 years ago
Find the average rate of change of the function f(x)=(3/-3x-5), on the interval x ∈ [0,3]
Svet_ta [14]

Answer:

The average rate of change on the given interval is 9/70

Step-by-step explanation:

Here, we are to find the average rate of change of the function on the given interval

We proceed as follows;

on an interval [a,b] , we can find the average rate of change using the formula;

f(b) - f(a)/b-a

From the question;

a = 0

b = 3

f(0) = -3/5

f(3) = -3/14

Substituting the values, we have;

-3/14-(-3/5)/3-0

= 3/5-3/14/3

= (42-15)/70/3

= 27/70/3

= 27/70 * 1/3 = 9/70

4 0
2 years ago
Cerebral $500 for four years at 3% interest compounded annually use the formula to calculate the total amount she will have to p
Black_prince [1.1K]
Since we're doing compound interest for four years it will be simpler than daily.
In case you didn't know the formula, here it is: A = P (1 +r/n)^(nt)
now lets substitute.
A = 500 (1 + 0.03)^4
A = 500 (1.03)^4
A = 500 (1.12550881)
A = 562.754405
Since that decimal is too big for cash, let's round it. Notice that the number after 5 is lower than 5. Thus the first two numbers stay the same and the final answer will be..
A = 562.75
Hope this helps :3
4 0
3 years ago
? Question
dezoksy [38]

Answer:

4 ft

7.2 ft

20 ft

Step-by-step explanation:

When the balloon is shot, x = 0.

y = -0.05(0)² + 0.8(0) + 4

y = 4

The balloon reaches the highest point at the vertex of the parabola.

x = -b / 2a

x = -0.8 / (2 × -0.05)

x = 8

y = -0.05(8)² + 0.8(8) + 4

y = 7.2

When the balloon lands, y = 0.

0 = -0.05x² + 0.8x + 4

0 = x² − 16x − 80

0 = (x + 4) (x − 20)

x = -4 or 20

Since x > 0, x = 20.

8 0
3 years ago
Ralph is 3 times as old as Sara. In 6 years, Ralph will be only twice as old as Sara will be then. Find Ralph's age now.
laila [671]
I think it would be the 3rd one if not im sorry i tried

5 0
3 years ago
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