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ASHA 777 [7]
2 years ago
10

Evaluate the expression 6z+5(-2z-7) for z=-1

Mathematics
1 answer:
kumpel [21]2 years ago
7 0

Answer:

-31

Step-by-step explanation:

First let's plug in the value of z into the expression as it looks easier than expanding,

6(-1) + 5(-2(-1)-7)

Now we follow the order of PEMDAS,

6(-1) + 5(2-7)

6(-1) + 5(-5)

-6 - 25

-31

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Answer:

There is a 2.28% probability that it takes less than one minute to find a parking space. Since this probability is smaller than 5%, you would be surprised to find a parking space so fast.

Step-by-step explanation:

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}

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.

Also, a probability is unusual if it is lesser than 5%. If it is unusual, it is surprising.

In this problem:

The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 7 minutes and a standard deviation of 3 minutes, so \mu = 7, \sigma = 3.

We need to find the probability that it takes less than one minute to find a parking space.

So we need to find the pvalue of Z when X = 1

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

Z = \frac{1 - 7}{3}

Z = -2

Z = -2 has a pvalue of 0.0228.

There is a 2.28% probability that it takes less than one minute to find a parking space. Since this probability is smaller than 5%, you would be surprised to find a parking space so fast.

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The answer is c

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Given :The weight of a bag of golf balls varies directly as the number of golf balls in the bag.

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Multiply 1110 both sides , we get

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Answer:

H_o:p=0.1\\\\H_a:p\neq 0.1

Step-by-step explanation:

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-The alternative  states that the null hypothesis is not correct:

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