Whats the distributive property to create an equivalent expression. to −9⋅(5j+k)=

Ms Etienne deposited $450 into an account to pay 5% interest compounded annually she did not make any additional deposits or wit

Andreas93 [3]

Answer: it is 22.50

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

-7.832198653 . . . is: rational irrational

olga2289 [7]

Definitely irrational because the decimal never repeat

3 0

2 years ago

Read 2 more answers

Assume that the breaking system of a train consists of two components connected in series with both of them following Weibull di

tekilochka [14]

Answer:

0.9984

Step-by-step explanation:

we have shape parameter for the first component as 2.1

characteristics life = 100000

for this component

we have

exp(-2000/100000)².¹

= e^-0.0002705

= 0.9997

for the second component

shape parameter = 1.8

characteristic life = 80000

= exp(-2000/80000)¹.⁸

= e^-0.001307

= 0.9987

the reliability oif the system after 2000 events

= 0.9987 * 0.9997

= 0.9984

7 0

2 years ago

Find the common difference of the following sequence.

Darya [45]

You have the correct answer. It is choice B) -1/4

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Explanation:

This is because we're adding -1/4 to each term to get the next one. In other words, we're subtracting 1/4 from each term to get the next one.

term2 = term1+(d) = 1/2 + (-1/4) = 1/2 - 1/4 = 2/4 - 1/4 = 1/4
term3 = term2+(d) = 1/4 + (-1/4) = 1/4 - 1/4 = 0
term4 = term3+(d) = 0 + (-1/4) = 0 - 1/4 = -1/4
term5 = term4+(d) = -1/4 + (-1/4) = -2/4 = -1/2

and so on.

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To find the common difference, all we have to do is subtract any term from its previous one.

For example:

d = (term2) - (term1)

d = (1/4) - (1/2)

d = (1/4) - (2/4)

d = (1-2)/4

d = -1/4

The order of subtraction matters, so we cannot say d = term1-term2.

3 0

2 years ago

The amount of soft drink in a bottle is a Normal random variable. Suppose that in 7% of the bottles containing this soft drink t

WITCHER [35]

Answer:

The mean is 15.93 ounces and the standard deviation is 0.29 ounces.

Step-by-step explanation:

Problems of normally distributed samples are 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.

7% of the bottles containing this soft drink there are less than 15.5 ounces

This means that when X = 15.5, Z has a pvalue of 0.07. So when X = 15.5, Z = -1.475.

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

$-1.475 = \frac{15.5 - \mu}{\sigma}$