URGENT I NEED HELP FIRST PERSON WHO ANSWERS I'LL GIVE BRAINLYEST

A cylindrical vase has a diameter of 6 inches. At the bottom of the vase, there are 9 marbles, each of diameter 3 inches. The vase is filled with water up to a height of 12 inches.
Which of the following could be used to calculate the volume of water in the vase?

π(3in)2(12in) − 1.5(four over threeπ(9in)3)
π(12in)2(3in) − 1.5(four over threeπ(9in)3)
π(3in)2(12in) − 9(four over threeπ(1.5in)3)
π(12in)2(3in) − 9(four over threeπ(1.5in)3)

Answers

Answer 1

Answer:

C. π(3in)2(12in) − 9(four over threeπ(1.5in)3)

Step-by-step explanation:

Volume of water is the difference of volume of vase at 12 in height and the total volume of marbles.

Volume of cylinder up to water level:

Vs = πr²h = π(6/2)²(12) = π×(3 in)²×(12 in)

Volume of marbles:

Vm = 9(4/3πr³) = 9×(4/3×π(3/2)³) = 9×(4/3×π×(1.5 in)³)

Volume of water:

Vw = Vs - Vm = π×(3 in)²×(12 in) - 9×(4/3×π×(1.5 in)³)

Correct choice is C

Answer 2

Answer:

C. π(3in)2(12in) − 9(four over threeπ(1.5in)3)

Step-by-step explanation:

Volume of water is the difference of volume of vase at 12 in height and the total volume of marbles.

Volume of cylinder up to water level:

Vs = πr²h = π(6/2)²(12) = π×(3 in)²×(12 in)

Volume of marbles:

Vm = 9(4/3πr³) = 9×(4/3×π(3/2)³) = 9×(4/3×π×(1.5 in)³)

Volume of water:

Vw = Vs - Vm = π×(3 in)²×(12 in) - 9×(4/3×π×(1.5 in)³)

Correct choice is C


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Answers

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Use the following scenario for the next 4 questions: Based on the results of an annual customer satisfaction survey of State Farm policyholders, State Farm claims that policyholders have a customer satisfaction rate of greater than 90%. To check the accuracy of this claim, a random sample of 60 State Farm policyholders was asked to rate whether they were satisfied with the quality of customer service. Fifteen percent of these policyholders said they were not satisfied with the quality of service. Can we infer that the satisfaction rate is less than the claim with a level of significance of 5%

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Answer:

Since the pvalue of 0.0985 > 0.05, we cannot infer that the satisfaction rate is less than the claim with a level of significance of 5%

Step-by-step explanation:

The null hypothesis is:

[tex]H_{0} = 0.9[/tex]

Because tate Farm claims that policyholders have a customer satisfaction rate of greater than 90%.

The alternate hypotesis is:

[tex]H_{1} < 0.9[/tex]

Because of the question: Can we infer that the satisfaction rate is less than the claim with a level of significance of 5%.

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

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This means that [tex]\mu = 0.9, \sigma = \sqrt{0.9*0.1}[/tex]

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Fifteen percent of these policyholders said they were not satisfied with the quality of service.

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Test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.85 - 0.9}{\frac{\sqrt{0.9*0.1}}{\sqrt{60}}}[/tex]

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Answers

Answer:

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Step-by-step explanation:

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ANSWER

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Brainliest

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❤️ The answer is attached

achievements.

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Step-by-step explanation:

2x+4=10

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Answers

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9

Step-by-step explanation:

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x = 63 ÷ 7

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A 16 foot ladder is leaning against a wall with the base 4 feet from the wall. How high does the ladder hit the wall?

Answers

Answer:

15.49

Step-by-step explanation:

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Answer:

[tex]x = 15.49[/tex]

Step-by-step explanation:

To solve this problem is necessary to use the pythagorean theorem:

According to this diagram, the length of the ladder would be the hypotenuse and the distance between the base and the wall would be one of the legs of the triangle, to find the other leg, use the pythagorean theorem:

[tex]x = \sqrt{ {16}^{2} - {4}^{2} } \\ x = \sqrt{240} \\ x = 15.49[/tex]

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