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Darina [25.2K]
3 years ago
6

Our answer should be a complex number in the form a +bi where a and b are real numbers.

Mathematics
1 answer:
Otrada [13]3 years ago
6 0

Answer:

16 +88i

Step-by-step explanation:

8 x (11i + 2 ) =

Distribute

8*11i + 8*2

88i +16

Writing in the proper form

16 +88i

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Can someone help me please, I will give brainliest as soon as my app allows!!
Delicious77 [7]

Answer:

x=75

Step-by-step explanation:

8 0
3 years ago
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But you're already done....
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The average score of all golfers for a particular course has a mean of 75 and a standard deviation of 4. Suppose 64 golfers play
Vilka [71]

Answer:

0.0228 = 2.28% probability that the average score of the 64 golfers exceeded 76.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 75, \sigma = 4, n = 64, s = \frac{4}{\sqrt{64}} = 0.5

Find the probability that the average score of the 64 golfers exceeded 76.

This is 1 subtracted by the pvalue of Z when X = 64.

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

By the Central Limit Theorem

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

Z = \frac{76 - 75}{0.5}

Z = 2

Z = 2 has a pvalue of 0.9772

1 - 0.9772 = 0.0228

0.0228 = 2.28% probability that the average score of the 64 golfers exceeded 76.

6 0
3 years ago
Write the following equation in slope- intercept form 6x+2y=20
lorasvet [3.4K]

Answer:

y = -3x + 10

Step-by-step explanation:

6x+2y=20

First, you want to subtract 6x from both sides.

2y=-6x+20

Now, you want to divide by 2 on both sides because you want to get y by itself.

y = -3x + 10

3 0
3 years ago
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Measure the width of the paper clip to the nearest millimeter
Elenna [48]

Answer: 4/10

Step-by-step explanation:

6 0
2 years ago
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