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valina [46]
3 years ago
8

A cylidrical container of height 28cm and diameter of 18cm is with water. The water is then poured into another container with a

rectangular base of length 27cm and width 11cm . Calculate the depth of the in the container.
Mathematics
1 answer:
MAVERICK [17]3 years ago
4 0

Answer:

23.9894949495cm is the depth of the container.

Step-by-step explanation:

Cylindrical container:

height: 28

radius: 9 (or 18/2)

pi * 9² = 254.4690049408

254.4690049408 * 28 = 7,125.1321383424 cm²

cylidrical container area: 7,125.1321383424cm²

Container:

length: 27cm

width: 11cm

27 * 11 = 297

7,125.1321383424 / 297 = 23.9894949495cm

I assume that the container with rectangular base is precisely full when tou pour the water into it.

And that your question was how deep the container was.

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Since we know this figure is a square, we also know that all sides are the same. Therefore, we must figure out one side length and then use that math to find the other point. A simple way to do this is to graph the points and match them up for the missing corner.

In the graph below, you will see that (-6, -3) is circles in red, showing that it is the correct answer. The red dots show how we could match up the corners to find the answer.

4 0
2 years ago
Periodically, Merrill Lynch customers are asked to evaluate Merrill Lynch financial consultants and services. Higher ratings on
Vlada [557]

Answer:

See the explanation

Step-by-step explanation:

(a)  

H0: Consultant with more experience has the higher population mean service rating.

H1: Consultant with more experience doesn't have the higher population mean service rating.

(b)  

t = 1.9923 (see the attached image)

(c)

The degrees of freedom for the test statistic,

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The P-value of the one tailed t- test with 16 degrees of freedom is,

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P-value = tdist(1.9923,16,1)

P-value = 0.032

(d)​

Since, P-value 0.032 is less than the significance level 0.05, there is an enough evidence to reject the null hypothesis.

Hence, there is a sufficient evidence to conclude that Consultant with more experience doesn't have the higher population mean service rating.

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8 0
2 years ago
At a high school, the probability that a student is a senior is 0.25. The probability that a student plays a sport is 0.15. The
Serggg [28]

Use the definition of conditional probability:

P(\text{sports}\mid\text{senior})=\dfrac{P(\text{sports AND senior})}{P(\text{senior})}

We know that 0.10 of students belong to both categories, and that 0.25 of students are seniors, so

P(\text{sports}\mid\text{senior})=\dfrac{0.10}{0.25}=0.40

5 0
2 years ago
A researcher took a random sample of 100 students from a large university. She computed a 95% confidence interval to estimate th
katen-ka-za [31]

Answer:

Part (A): The correct option is true.

Part (B): The null and alternative hypothesis should be:

H_o: \mu =0 ; H_a:\mu \neq0

Step-by-step explanation:

Consider the provided information.

Part (A)

A random sample of 100 students from a large university.

Increasing the sample size decreases the confidence intervals, as it increases the standard error.

If the researcher increase the sample size to 150 which is greater than 100 that will decrease the confidence intervals or the researcher could produce a narrower confidence interval.

Hence, the correct option is true.

Part (B)

The researcher wants to identify that whether there is any significant difference between the measurement of the blood pressure.

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H_o: \mu =0 ; H_a:\mu \neq0

7 0
2 years ago
Brandon is filling a flower bed with soil. The flower bed is shaped like a rectangular prism and measures 15 feet long and 3 fee
zloy xaker [14]

Answer:

9 meters

Step-by-step explanation:

I don't know step by step if jts wrong tell me.

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