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4 years ago

15

Show me how to do the steps to solve this math problem: Tom has a can of paint that covers 37 1/2 square meters.Each board on th

e fence had an area of 3/16 meters . How many boards can he paint?

1 answer:

ki77a [65]4 years ago

8 0

He can paint 200 boards

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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

he correct moxture of oil to gas in a weed eater is one half a pint of oil to two and one half a gallons of gas how many pints a

Ratling [72]

Answer:

Stated Below:

Step-by-step explanation:

This requires 2 pints of oil.

Hope I helped! ☺

6 0

3 years ago

Calculate the circumference of a circle when the diameter is 5cm. Give your answer to 2

FrozenT [24]

Answer:15.70

Step-by-step explanation:The formula for the circumference is 2πr. Plug-in the number provided into the formula, since diameter is double the radius you just divide the 5 by 2 to get 2.5.

So, 2π2.5=15.70

2 time π =6.28

6.28 time 2.5= 15.70

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3 years ago

How many two-digit numbers satisfy the following property: the last digit (units digit ) of the

jarptica [38.1K]

0 because no square numbers end in 8 none no matter how many digits it has.

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3 years ago

How to write k/3 + 16 in words

fgiga [73]

Answer:

k divided by three plus sixteen

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3 years ago