Write the standard form of the line that contains a slope of -3/2 and Y intercept of 6

At lunchtime you stand by a vending machine. You survey every student who buys something from the vending machine. Is this quest

Andrews [41]

No, a bias question is when the speaker is predisposed to accept one particular answer as the right.

8 0

2 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

2 years ago

Two triangular pyramids are similar the volume of the large pyramids is 729cm and the volume of the smaller pyramids is 64 cm .

lilavasa [31]

Answer:

18 cm for larger base

Step-by-step explanation:

For similar figures, there is a formula regarding volume, area, and length

Large: small = y: x for length

large: small = (y^3) / (x^3) for volume

729 cm cube/ 64 cm cube = large : small

9: 4 = large: small by length

large/ 8cm = 9/ 4

large = 8*(9/4) = 2*9 = 18 cm

8 0

2 years ago

Mousa borrowed $6,000 to buy a car and he will make 36 monthly payments of $185.81 to repay the loan. How much total interest wi

loris [4]

Depends on his credit score. not enough info, IE: credit score, answer choices, interest rate.
My guess would be having an interest rate of 7.5% the answer would be:
His total interest would be $718.94

3 0

2 years ago

It takes 1 banana and 3 scoops of ice cream to make a banana split. If an ice cream shop scooped 42 scoops of ice cream into ban

Degger [83]

The answer is 14. I divided 42 by 3 and then times that answer by 1.

8 0

2 years ago

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