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KatRina [158]
3 years ago
5

jayden's old washing machine took 31 1/2 minutes to wash a load. He bought a new washing machine that takes 10% longer. How long

does jayden's new washing machine take to wash a load?
Mathematics
2 answers:
Alborosie3 years ago
8 0

Answer:

28.35

Step-by-step explanation:

10 percent of 31.5 = 3.15

31.5

-3.15

-------------

28.35

ivanzaharov [21]3 years ago
7 0

Answer:

34.45 minute or 34 and 9/20 minutes

Step-by-step explanation:

10 percent of 31.5 is 3.15

And 31.5+3.15=34.45

We add because it is 10% longer.

You might be interested in
Of the total population of American households, including older Americans and perhaps some not so old, 17.3% receive retirement
Alex Ar [27]

Answer:

47.54% probability that more than 20 households but fewer than 35 households receive a retirement income

Step-by-step explanation:

We use the binomial aproxiation to the normal to solve this question.

Binomial probability distribution

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

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

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

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

p = 0.173, n = 120. So

\mu = E(X) = np = 120*0.173 = 20.76

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{120*0.173*0.827} = 4.14

In a random sample of 120 households, what is the probability that more than 20 households but fewer than 35 households receive a retirement income?

We are working with discrete values, so this is the pvalue of Z when X = 35-1 = 34 subtracted by the pvalue of Z when X = 20 + 1 = 21.

X = 34

Z = \frac{X - \mu}{\sigma}

Z = \frac{34 - 20.76}{4.14}

Z = 3.2

Z = 3.2 has a pvalue of 0.9993

X = 21

Z = \frac{X - \mu}{\sigma}

Z = \frac{21 - 20.76}{4.14}

Z = 0.06

Z = 0.06 has a pvalue of 0.5239

0.9993 - 0.5239 = 0.4754

47.54% probability that more than 20 households but fewer than 35 households receive a retirement income

6 0
3 years ago
Money
Alex787 [66]

Answer:

She's paid 7.50 pounds an hour

Step-by-step explanation:

7.50 x 8 = 60

5 0
2 years ago
Jake walks from the library to the museum along 3th avenue. he stops at the post office and at a store. The distances between th
alexdok [17]
I believe the answer would be 4/6 which would simplify to 2/3
4 0
3 years ago
Based on the Nielsen ratings, the local CBS affiliate claims its 10 p.m. newscast reaches 41% of the viewing audience in the are
damaskus [11]

Answer:

H0:p=0.41

Step-by-step explanation:

The null hypothesis always contain equality i.e. (=) sign. The null hypothesis contains the statement regarding population parameter. Here, the claim about population proportion is mentioned in the statement that 10 p.m. newscast of local CBS reaches 41% of viewers. So, the null hypothesis would be

Null hypothesis:H0: p=0.41.

4 0
3 years ago
You run 18 miles in 2 hours and 45 miles in 5 hours how fast are you running
Lesechka [4]
So let's find the unit rate of these.

18 mi/ 2 hrs = 9 mi/ 1hr

45 mi / 5 hrs = 9 mi/ 1 hr

So you are running 9 miles an hour.

If you have any questions please comment! :)
6 0
3 years ago
Read 2 more answers
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