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Nikolay [14]
4 years ago
10

The mean incubation time for a type of fertilized egg kept at 100.7100.7â°f is 2323 days. suppose that the incubation times are

approximately normally distributed with a standard deviation of 22 daysdays. â(a) what is the probability that a randomly selected fertilized egg hatches in less than 2121 âdays? â(b) what is the probability that a randomly selected fertilized egg hatches between 1919 and 2323 âdays? â(c) what is the probability that a randomly selected fertilized egg takes over 2525 days toâ hatch?
Mathematics
1 answer:
Irina18 [472]4 years ago
5 0
In this item, we have the mean incubation period of 23 days and the standard deviation is 22 days. We use z-score to determine the unknown in each of the items.

(a) less than 21 days.
       z-score = (23 - 21) / 22 = 1/11
This translates to a percentage of 53.6%

(b) z-score for 19 days.
     z-score = (23 - 19) / 22 = 2/11
This translates to a percentage of 57.2%.
   
    z-score for 23 days.
   z-score = (23 - 23)/ 22 = 0
This translates to a percentage of 50%.

The difference between the two numbers is only 7.2%

(c) z-score of 25.
     z-score = (23 - 25)/ 22 = -1/11
This translates to a percentage of 42.3%.

Then, subtract this value from 100 to give us the final answer of 57.2%.
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the vertices of a feasible region are (1,0) (5,5) and (5,0) . what is the maximum value of the function P=2x-y?
wariber [46]

The maximum value of the function is 10

<h3>How to determine the maximum value?</h3>

The function is given as:

P = 2x - y

The feasible regions are given as:

(1,0), (5,5) and (5,0)

Substitute these values in P = 2x - y

P = 2(1) - 0 = 2

P = 2(5) - 5 = 5

P = 2(5) - 0 = 10

The maximum value in the above computation is 10

Hence, the maximum value of the function is 10

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7 0
2 years ago
Find the measure of the complement of an angle that measures 64°.
ioda

Complementary angles sum to 90°

the complement of 64° = 90° - 64° = 26°


8 0
3 years ago
Nathan participated in a 5k race. He walked 1/4 of the way , jogged 3/5 of the way , and run 3/20 of the way
marishachu [46]

Answer:

4.25 km (See Below)

Step-by-step explanation:

<em>The question is:</em>

<em>How many kilometers did Nathan walk and jog?</em>

<u>Solution:</u>

He walked 1/4th of 5 kilometer race

He jogged 3/5th of 5 kilometers race

Rest, he ran.

We need total km he ran and jog. That is (1/4) + (3/5)th:

\frac{1}{4}+\frac{3}{5}=\frac{5+3(4)}{20}=\frac{17}{20}

So, we find 17/20th of 5, which is:

\frac{17}{20}*5=4.25

So, Nathan walked and jogged 4.25 km of the race.

4 0
3 years ago
Based on aâ poll, among adults who regret gettingâ tattoos, 18â% say that they were too young when they got their tattoos. Assum
Sergeeva-Olga [200]

Answer:

a) 20.44% probability that none of the selected adults say that they were too young to get tattoos.

b) 35.90% probability that exactly one of the selected adults says that he or she was too young to get tattoos.

c) 56.34% probability that the number of selected adults saying they were too young is 0 or 1.

d) No

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they say they were too young when they got their tattoos, or they don't say that. Each adult is independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

18% say that they were too young when they got their tattoos.

This means that p = 0.18

Eight adults who regret getting tattoos are randomly selected

This means that n = 8

a. Find the probability that none of the selected adults say that they were too young to get tattoos.

This is P(X = 0).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{8,0}.(0.18)^{0}.(0.82)^{8} = 0.2044

20.44% probability that none of the selected adults say that they were too young to get tattoos.

b. Find the probability that exactly one of the selected adults says that he or she was too young to get tattoos.

This is P(X = 1).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{8,1}.(0.18)^{1}.(0.82)^{7} = 0.3590

35.90% probability that exactly one of the selected adults says that he or she was too young to get tattoos.

c. Find the probability that the number of selected adults saying they were too young is 0 or 1.

Either a. or b.

20.44 + 35.90 = 56.34

56.34% probability that the number of selected adults saying they were too young is 0 or 1.

d. It we randomly select 9 adults. Is 1 a significantly low number who day that they were too young to get tattoos?

Now n = 9

It is significantly low if it is more than 2.5 standard deviations below the mean.

The mean is E(X) = np = 9*0.18 = 1.62

The standard deviation is \sqrt{V(X)} = \sqrt{n*p*(1-p)} = \sqrt{9*0.18*0.82} = 1.15

1 > (1.62 - 2.5*1.15)

So the answer is no.

5 0
3 years ago
Please Help.....'<br><br>Divide. Write your answer to the simplest form.<br><br>5/6 divided by 7/10
belka [17]

Answer:

<u>5/6 ÷ 7/10 = 1 4/21</u>

Step-by-step explanation:

<u>How did we solve the problem above? When we divide two fractions, such as 5/6 ÷ 7/10, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.</u>

<u>We also simplify the answers to fraction problems whenever possible.  hope this helps</u>

8 0
4 years ago
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