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2 years ago

you need to fill a water jug with 8.23 L. you filled it with 2.92 L and then added 3.14 more how much more water do you need?

1 answer:

7 0

Find out how much you filled.

2.92 + 3.14 = 6.06 L

Find the remaining.

8.23 L - 6.06 L = 2.17 L

You need 2.17 L more to fill the water jug

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According to the Mortgage Bankers Association, 11% of U.S. mortgages were delinquent last year. A delinquent mortgage is one tha

Ostrovityanka [42]

Answer:

The standard deviation of this distribution is 0.8850.

Step-by-step explanation:

For each U.S. mortgage in the sample, there are only two possible outcomes. Either it is delinquent, or it is not. The probabilities of each mortgages being delinquent are independent from one another. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

11% of U.S. mortgages were delinquent last year.

This means that $p = 0.11$

A random sample of eight mortgages was selected. What is standard deviation of this distribution?

This is $\sqrt{V(X)}$ when $n = 8$

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{8*0.11*0.89} = 0.8850$

The standard deviation of this distribution is 0.8850.

7 0

3 years ago

3(x+5)+3(x+5) help! Please

saw5 [17]

Answer:

=6x+30

Step-by-step explanation:

happy to help ya :)

4 0

3 years ago

Plzzzz help me!!!

Hoochie [10]

Answer:

49.95+2.4975(the 5% tax)

Step-by-step explanation:

=52.4475 dollars

6 0

3 years ago

Graphing linear inequalities -four folded method y<3/2x-5

Volgvan

A pump empties the pool at the rate of 1000 gals every 4 hours how long does it take to pump our 20,000 gallons

8 0

3 years ago

A certain flight arrives on time 8484 percent of the time. Suppose 143143 flights are randomly selected. Use the normal approxim

Troyanec [42]

Answer:

a) P(x=108)=0.0020

b) P(x≥108)=0.9980

c) P(x<124)=0.7794

d) P(124≤x≤128)=0.1925

Step-by-step explanation:

We know the population proportion, that is p=0.84.

We take a sample of size n=143.

We will use the normal approximation to the binomial distribution to model this problem.

The mean and standard deviation of the normal approximation to the binomial distribution will be:

$\mu=np=143*0.84=120.12\\\\\sigma=\sqrt{np(1-p)}=\sqrt{143*0.84*0.16}=\sqrt{19.22}=4.38$

a) We have to calculate the probability that exactly 108 flights are on time.

As the normal distribution considers the random variable to be continous, we have to apply the continuity correction factor.

In this case, the probability of 108 flights on time can be calculated as P(107.5<x<108.5):

$P(x=108)=P(107.5$

b) Now we have to calculate that at least 108 flights are on time.

As the probability includes 108, the continuity factor will indicates that we calculate P(x>107.5). The z-value for x=107.5 has been already calculated in point a:

$P(x\geq108)=P(x>107.5)=P(z>-2.88)=0.9980$

c) We have to calculate the probability that fewer than 124 flights are on time. According to the continuity factor, we have to calculate the probability P(x<123.5), as the flight number 124 is not included in the interval.

$P(x$

d) We have to calculate the probability that between 124 and 128 flights, inclusive, are on time.

This interval corresponds to the probability P(123.5<x<128.5)

$P(123.5$

5 0

3 years ago