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Katyanochek1 [597]
2 years ago
8

Carrie billed her legal clients $8,000 for legal work completed during the month. what will this transaction do?

Mathematics
1 answer:
Vlad [161]2 years ago
7 0
This will give the workers money because they worked.Each worker get its share.
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I need help on rhis pls fastttttttt fastttttttt pls stytyt<br> y
zavuch27 [327]

Answer:

60 slices

Step-by-step explanation:

Well, to start you must figure the amount of slices, to begin with. This is 9 x 8

this is = to 72.

Then you take 5/6 of 72/1 by multiplying across. to get 60

7 0
3 years ago
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What is 9 times -11 + 17 times 11 in factored form
Rama09 [41]

Answer:

88

Step-by-step explanation:

(17 * 11 = 187) + (9 * -11 = -99)

187 - 99 = 88

7 0
3 years ago
Helpppp I attached a ss
joja [24]

Answer:

the answer is 7×9=(7×10)-(7×1)

5 0
3 years ago
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The mean of a population is 74 and the standard deviation is 15. The shape of the population is unknown. Determine the probabili
Lena [83]

Answer:

a) 0.0548 = 5.48% probability of a random sample of size 36 yielding a sample mean of 78 or more.

b) 0.9858 = 98.58% probability of a random sample of size 150 yielding a sample mean of between 71 and 77.

c) 0.5793 = 57.93% probability of a random sample of size 219 yielding a sample mean of less than 74.2

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 normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, 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.

The mean of a population is 74 and the standard deviation is 15.

This means that \mu = 74, \sigma = 15

Question a:

Sample of 36 means that n = 36, s = \frac{15}{\sqrt{36}} = 2.5

This probability is 1 subtracted by the pvalue of Z when X = 78. So

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

By the Central Limit Theorem

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

Z = \frac{78 - 74}{2.5}

Z = 1.6

Z = 1.6 has a pvalue of 0.9452

1 - 0.9452 = 0.0548

0.0548 = 5.48% probability of a random sample of size 36 yielding a sample mean of 78 or more.

Question b:

Sample of 150 means that n = 150, s = \frac{15}{\sqrt{150}} = 1.2247

This probability is the pvalue of Z when X = 77 subtracted by the pvalue of Z when X = 71. So

X = 77

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

Z = \frac{77 - 74}{1.2274}

Z = 2.45

Z = 2.45 has a pvalue of 0.9929

X = 71

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

Z = \frac{71 - 74}{1.2274}

Z = -2.45

Z = -2.45 has a pvalue of 0.0071

0.9929 - 0.0071 = 0.9858

0.9858 = 98.58% probability of a random sample of size 150 yielding a sample mean of between 71 and 77.

c. A random sample of size 219 yielding a sample mean of less than 74.2

Sample size of 219 means that n = 219, s = \frac{15}{\sqrt{219}} = 1.0136

This probability is the pvalue of Z when X = 74.2. So

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

Z = \frac{74.2 - 74}{1.0136}

Z = 0.2

Z = 0.2 has a pvalue of 0.5793

0.5793 = 57.93% probability of a random sample of size 219 yielding a sample mean of less than 74.2

5 0
3 years ago
PLZ HELP its Triangle Properties and where using the 45º-45º-90º Triangle Theorem and the 30º-60º-90º Triangle Theorem.
den301095 [7]

Answer:

The answer to your questions is below

Step-by-step explanation:

4.-

In a 45°-45°-90° triangle, the length of the legs are "x" and the length of the hypotenuse is x\sqrt{2}

Then, in this problem, the length of the leg is 7 then the length of the hypotenuse will be 7\sqrt{2}

5.- In a 30°-60°-90° triangle, the length of the hypotenuse is 2x, the length of the longer leg is x\sqrt{3} and the length of the shorter leg is x.

In this problem we have the length of the hypotenuse = 20 and find x.

                          2x = 20

                             x = 20/2

                             x = 10

          longer leg = xx\sqrt{3} = 10\sqrt{3}

6.- nonzero

7.- hypotenuse = 20 cm

     Find x

                         2x = 20

                           x = 20/2

                          x = 10

   Shoter leg = x = 10 cm

4 0
3 years ago
Read 2 more answers
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