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IRINA_888 [86]
2 years ago
11

A random sample of n people selected from a large population will be asked whether they have read a novel in the past year. Let

the random variable R represent the number of people from the sample who answer yes. The variance of random variable R is 6. Assume the responses are independent of each other. If the proportion of people from the population who read a novel in the past year is 0.40, which of the following is the best interpretation of random variable R ?a. binomial variable with 15 independent trialsb. A binomial variable with 25 independent trialsc. A variable that is not binomial with 25 independent trialsd. A binomial variable with 40 independent trialse. A variable that is not binomial with 40 independent trials
Mathematics
1 answer:
kozerog [31]2 years ago
4 0

Answer:

b. A binomial variable with 25 independent trials

Step-by-step explanation:

The conducted experiment is binomial experiment because outcome can be divided into success or failure. The success would be the people who read novel in the past year and also responses are independent of each other. We have to find the number of trials n in the given problem.

we are given that variance of R=6 and p=probability of success=0.4.

We know that variance of binomial distribution is

Variance=npq

where q=1-p=1-0.4=0.6.

By putting the values in variance formula, we can get the value of n.

6=n*0.4*0.6

6=0.24*n

n=6/0.24

n=25

Hence, random variable R is a binomial variable with 25 independent trials.

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Factor 7x3y4−7x2y5 completely.
Anastasy [175]

Answer:

B

Step-by-step explanation:

when we factor completely, we take a look at what is the biggest common factor of 7x³y⁴ and 7x²y⁵. In this case it is 7x²y⁴.

7x³y⁴-7x²y⁵ = 7x²y⁴(x-y) which is B.

7 0
3 years ago
A ball is thrown straight up with a initial velocity of 56 feet per second . The height , h , of the ball t seconds after it is
Tju [1.3M]

<span>Formula: H(t) = 56t – 16t^2   </span>

H(t) = - 16t^2 + 56t

<span><span>A.      </span>What is the height of the ball after 1 second? H (1) = 56(1) – 16(1) ^2 = 40 pt.</span>

<span><span>B.      </span>What is the maximum height? X = - (56)/2(- 16) = 1.75 sec h (1.75) = 56(1.75) – 16(1.75) ^2 h (1.75) = 49ft.</span>

<span><span>C.      </span><span>After how many seconds will it return to the ground? – 16t^2 + 56t = 0   - 8t =0 t = 0</span></span>

<span><span>-          </span><span>8t (2 + - 7) = 0     2t – 7 = 0  t = 7/2   Ans: 3.5 seconds</span></span>

3 0
3 years ago
Random question: hows life?
kipiarov [429]

Answer:

Great! Sorta making me really tired, but altogether fine!!!

How about you sir/ma'am?

Step-by-step explanation:

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2 years ago
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omeli [17]
The answer is 3. because you go -4 on the y axis and go up by 3
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3 years ago
The function f(x) = x2 is transformed to f(x) = −1.4x2. Which statement describes the effect(s) of the transformation on the gra
Romashka-Z-Leto [24]

Answer:

C) The parabola is narrower and reflected across the x-axis.

Step-by-step explanation:

The original parabola has equation:

f(x) =  {x}^{2}

The transformed parabola has equation

f(x) =  - 1.4 {x}^{2}

How wide the graph is can be determined by the absolute value of the coefficient.

The smaller the absolute value of the coefficient, the wider the graph.

Since

|1|  \:  <  \:  | - 1.4|

The original graph is wider than the transformed graph.

Also the negative factor tells us there is a reflection in the x-axis.

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3 years ago
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