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krek1111 [17]
2 years ago
7

At the end of the first year, a zoo has 10 monkeys. If the number of monkeys doubles each year, how many will there be at the en

d of the fifth year?
A. 120
B. 160
C. 60
D. 50
Mathematics
1 answer:
Effectus [21]2 years ago
7 0
The answer is b because you at doubling each year
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An article written for a magazine claims that 78% of the magazine's subscribers report eating healthily the previous day. Suppos
Schach [20]

Answer:

89.44% probability that less than 80% of the sample would report eating healthily the previous day

Step-by-step explanation:

We use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

p = 0.78, n = 675

So

\mu = E(X) = np = 675*0.78 = 526.5

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{675*0.78*0.22} = 10.76

What is the approximate probability that less than 80% of the sample would report eating healthily the previous day?

This is the pvalue of Z when X = 0.8*675 = 540. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{540 - 526.5}{10.76}

Z = 1.25

Z = 1.25 has a pvalue of 0.8944

89.44% probability that less than 80% of the sample would report eating healthily the previous day

8 0
3 years ago
Consider the following geometric sequence.<br><br> 2, 6, 18, 54,
Kaylis [27]

Answer:

The rule or operation in this sequence is multiplication by 3.

Step-by-step explanation:

2*3=6

6*3=18

18*3=54

and so on...

7 0
3 years ago
The two linear functions are shown below f(x)=5/6x+3 what is true ?
Deffense [45]
What are the two functions?
8 0
3 years ago
A cheetah can run 70 miles per hour. what is this speed in feet per hour? explain work,
Brums [2.3K]
Tee answer would be 369,600, because 5,280 x 70 = 369,600
7 0
3 years ago
Read 2 more answers
Someone help me with this please!
kifflom [539]

Answer:

input:                    x+4                   output        (x,y)

-2                        -2 + 4 =2               2             (-2,2)

0                          0 + 4 = 4              4              (0,4)

2                           2 + 4 = 6              6             (2,6)

...

Step-by-step explanation:

continue by plugging in x to the equation, x is input and y is output

then just plot your (x,y) points on the graph.

4 0
2 years ago
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