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8090 [49]
3 years ago
14

Will give brainliest to correct answer

Mathematics
1 answer:
enot [183]3 years ago
5 0

Answer:

Step-by-step explanation:

here you go.

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remy said the table shows a proportional relationship because each distanc went up by 6ftg. Collin said that it was not a propor
sdas [7]

Answer:

remy would be correct

Step-by-step explanation:

3 0
3 years ago
An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck are defe
Hatshy [7]

Answer:

0.148 = 14.8% probability that they will need to order at least one more new transmission

Step-by-step explanation:

For each transmission, there are only two possible outcomes. Either it is defective after a year of use, or it is not. The probability of a transmission being defective is independent of any other transmission. This means that the binomial probability distribution is used 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.

20% of all the transmissions it installed in a particular style of truck are defective after a year of use.

This means that p = 0.2

Sold seven trucks:

This means that n = 7

It has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission?

This is the probability that at least 3 are defective, that is:

P(X \geq 3) = 1 - P(X < 3)

In which

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

So

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

P(X = 0) = C_{7,0}.(0.2)^{0}.(0.8)^{7} = 0.2097

P(X = 1) = C_{7,1}.(0.2)^{1}.(0.8)^{6} = 0.3670

P(X = 2) = C_{7,2}.(0.2)^{2}.(0.8)^{5} = 0.2753

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2097 + 0.3670 + 0.2753 = 0.852

P(X \geq 3) = 1 - P(X < 3) = 1 - 0.852 = 0.148

0.148 = 14.8% probability that they will need to order at least one more new transmission

6 0
3 years ago
Help ASAP please :)) <br><br> Image attached
NemiM [27]
No Sophie made a mistake going from step one to two. (She should’ve multiplied 9*2 and 6*7 instead of dividing first, she didn’t follow PEMDAS)
4 0
3 years ago
Solve the system of equations below.
noname [10]

Answer:

C (1, -2)

Step-by-step explanation:

6 0
3 years ago
The bases of a trapezoid are 8 yards and 16 feet. The height of the trapezoid is 12 feet. What is area of the trapezoid in squar
vagabundo [1.1K]

Answer:

240 sq ft

Step-by-step explanation:

First turn the 8 yards to feet my multiplying by 3. You get 24.

Then

Add the bases together to get 40 Divide them by the number of bases (2) to get 20

Multiply the 20 by the height, (12) to get 240

240 sq feet

Mark me as brainliest if this helps!

6 0
3 years ago
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