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jeka94
3 years ago
15

It takes 6 painters 20 hours working together to paint 15 rooms. How long will it take 1 painter to paint 1 room working alone a

t the same rate?
Mathematics
1 answer:
NISA [10]3 years ago
8 0
It will take about 22 minutes because 20 hours divided by 15 rooms equals 1 hour and 33 minutes for one room divided by the six painters equals 22 minutes
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The Hawkins Company randomly samples 10 items from every large batch before the batch is packaged and shipped. According to the
agasfer [191]

Answer:

0.9138 = 91.38%

Step-by-step explanation:

For each item, there are only two possible outcomes. Either it is defective, or it is not. The probability of an item being defective is independent of other items. 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.

10 items

This means that n = 10

5 percent of the items shipped can be defective.

This means that p = 0.05

Probability that a batch that meets the contract requirements will be shipped without further inspection

Probability of 1 or fewer defects.

So

P(X \leq 1) = P(X = 0) + P(X = 1)

In which

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

P(X = 0) = C_{10,0}.(0.05)^{0}.(0.95)^{10} = 0.5987

P(X = 1) = C_{10,1}.(0.05)^{1}.(0.95)^{9} = 0.3151

P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5987 + 0.3151 = 0.9138

So the answer is:

0.9138 = 91.38%

4 0
3 years ago
Read 2 more answers
Davina has a large cellar for her wine bottles and also a small fridge dedicated to wine storage in her kitchen. Davina drinks o
nadya68 [22]
I believe that the answer is 10 because the first bottle will be exposed to the light 3 times and then the next will be exposed 4 times and then the next 5 and so on so by the tenth bottle it will have been exposed 12 times by the time she drinks it.
The answer is 10
4 0
3 years ago
Write an exponential function y = ab" whose graph passes through (2,12) and (5,96).
motikmotik

Answer:

y = 3(2)^{x}

Step-by-step explanation:

Substitute the given points into the function and solve for a and b

Using (2, 12)

12 = ab² → (1)

Using (5, 96)

96 = ab^{5} → (2)

Divide (2) by (1)

\frac{ab^5}{ab^2} = \frac{96}{12} , that is

b³ = 8 ( take the cube root of both sides )

b = \sqrt[3]{8} = 2

Substitute b = 2 into (1) and solve for a

12 = a2² = 4a ( divide both sides by 4 )

3 = a

Thus

y = 3(2)^{x} ← is the exponential function

3 0
3 years ago
Nick bought 6 tickets to an air show if he spent 156 dollars how much did the tickets cost
marysya [2.9K]

Answer:

$26 dollars

Step-by-step explanation: when you divide 156 divided by 6 you get 26

3 0
2 years ago
Read 2 more answers
Please help me I’m terrible at math
Katen [24]

Answer:

Moderate

Step-by-step explanation:

they are reversed

5 0
2 years ago
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