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Leona [35]
3 years ago
15

Jamie’s father has asked him to paint the fence around their home .if their home is 119.5 yards long, and Jaime can paint an ave

rage of 4.78 yards of the fence per hour ,How many hours will it take for Jamie to finish painting the fence ?
Mathematics
1 answer:
mars1129 [50]3 years ago
3 0
1 hour = 4.78 yards
Rewrite:
4.78 yards = 1 hour

Find 1 yard:
4.78 yards = 1 hour
1 yard = 1 ÷ 4.78
1 yard = 0.209 hour

FInd 119.5 yards:
1 yard = 0.209 hour
119.5 yards = 0.209 x 119.5
119.5 yards = 25 hours

So it will take 25 hours for Jamie to finish painting.
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You can remove the % sign if you divide the number by 100:

\frac{24}{100}


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we can also simplify it: let's divide it by 4:

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3 years ago
Terry Sheehan owns property assessed at $390,000 and pays a property tax rate of 1.69 per hundred dollars of assessed value. He
34kurt

Answer:

$1689

Step-by-step explanation:

Excess of rent amount over annual property tax bill = annual rent - annual property tax

annual property tax =  [(assessed property value / 100) x 1.69]

( $390,000 / 100) x 1.69 = $6591

Annual rent = $690 x 12 = $8280

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3 years ago
Kesha rode her bike 12 miles from home to the store. She rode her bike back towards home from the store for 8 miles then walked
stellarik [79]

Answer:

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Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Let the probability of success on a Bernoulli trial be 0.26. a. In five Bernoulli trials, what is the probability that there wil
andreyandreev [35.5K]

Answer:

0.3898 = 38.98% probability that there will be 4 failures

Step-by-step explanation:

A sequence of Bernoulli trials forms the binomial probability distribution.

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.

Let the probability of success on a Bernoulli trial be 0.26.

This means that p = 0.26

a. In five Bernoulli trials, what is the probability that there will be 4 failures?

Five trials means that n = 5

4 failures, so 1 success, and we have to find P(X = 1).

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

P(X = 1) = C_{5,1}.(0.26)^{1}.(0.74)^{4} = 0.3898

0.3898 = 38.98% probability that there will be 4 failures

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Answer:

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