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AlekseyPX
3 years ago
6

A 40 ft power boat is on sale by owner. How long is the boat to the nearest yard?

Mathematics
1 answer:
andriy [413]3 years ago
8 0
<span>3 feet make 1 yard.
40 feet make 13 and 1/3 yards
So that is 13 yards to nearest </span>
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Jane must get at least three of the four problems on the exam correct to get an A. She has been able to do 80% of the problems o
NISA [10]

Answer:

a) There is n 81.92% probability that she gets an A.

b) If she gets the first problem correct, there is an 89.6% probability that she gets an A.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the answer is correct, or it is not. This means that we can solve this problem using binomial distribution probability concepts.

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}.\pi^{x}.(1-\pi)^{n-x}

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

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

And \pi is the probability of X happening.

For this problem, we have that:

The probability she gets any problem correct is 0.8, so \pi = 0.8.

(a) What is the probability she gets an A?

There are four problems, so n = 4

Jane must get at least three of the four problems on the exam correct to get an A.

So, we need to find P(X \geq 3)

P(X \geq 3) = P(X = 3) + P(X = 4)

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

P(X = 3) = C_{4,3}.(0.80)^{3}.(0.2)^{1} = 0.4096

P(X = 4) = C_{4,4}.(0.80)^{4}.(0.2)^{0} = 0.4096

P(X \geq 3) = P(X = 3) + P(X = 4) = 2*0.4096 = 0.8192

There is n 81.92% probability that she gets an A.

(b) If she gets the first problem correct, what is the probability she gets an A?

Now, there are only 3 problems left, so n = 3

To get an A, she must get at least 2 of them right, since one(the first one) she has already got it correct.

So, we need to find P(X \geq 2)

P(X \geq 3) = P(X = 2) + P(X = 3)

P(X = 2) = C_{3,2}.(0.80)^{2}.(0.2)^{1} = 0.384

P(X = 4) = C_{3,3}.(0.80)^{3}.(0.2)^{0} = 0.512

P(X \geq 3) = P(X = 2) + P(X = 3) = 0.384 + 0.512 = 0.896

If she gets the first problem correct, there is an 89.6% probability that she gets an A.

3 0
3 years ago
4. Celia is making biscuits. Her recipe calls for 1/3 cup of flour, but
AveGali [126]

Answer:

I think it is 5/6

Step-by-step explanation:

She should do 5/6 of the way because 1/3x1/2=5/6

3 0
2 years ago
Read 2 more answers
Evaluate 18 -8(14 + 4) + 42.
Alina [70]

Answer:

-84

Step-by-step explanation:

4 0
3 years ago
Plz help me with this
shtirl [24]
2x-7y=18 _(1)
-2x+4y=5

11y=23 , Y=23/11 sub in 1

2x-7×23/11=18

2x = 18×11 + 7×23

x = ( 198 + 161 )/2 = 359/2
5 0
3 years ago
last summer, job earned 916 mowing lawns. His brother,gabe,earned 791 completing chores in the neighborhood. compare the value o
enot [183]
916...the 9 is in the hundreds place so its value is 900
791...the 9 is in the tens place so its value is 90

900/90 = 10
so the 9 in 916 is 10 times bigger then the 9 in 791
7 0
3 years ago
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