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3 years ago

7

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 pi feet cubed. A sphere with height h

and radius r. A cylinder with height h and radius r. Which equation gives the volume of the sphere? V = two-thirds (27 pi) V = four-thirds (27) V = two-thirds (27) V = four-third (27 pi) PLEASE HELLLLP

2 answers:

Bingel [31]3 years ago

7 0

Answer:

C

Step-by-step explanation:

ioda3 years ago

3 0

Answer:

C

Step-by-step explanation:

its not A for sure B and D dont make sense

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Write the sum of the numbers as the product of their GCF and another sum <br> 56+64

olga2289 [7]

This is a question about finding the GCF or the greatest common factor for these two numbers. The real question there is what is the largest number that both 56 and 64 can be divided by and still give out integers (meaning, whole regular counting numbers). This number turns out to be 8. 56/8 = 7. 64/8 = 8. The GCF gets pulled to the outside of the parenthesis and the divided numbers remain on the inside being added together. It looks like this, 8(7+8).

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3 years ago

A class survey found that 29 students watched television on Monday, 24 on Tuesday, and 25 on Wednesday. Of those who watched TV

gizmo_the_mogwai [7]

Answer:

There were 49 students in the class

Step-by-step explanation:

To solve this problem, we must build the Venn's Diagram of this set.

I am going to say that:

-The set A represents the students that watched TV on Monday

-The set B represents the student that watched TV on Tuesday.

-The set C represents the students that watched TV on Wednesday.

We have that:

$A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)$

In which a is the number of students that only watched TV on Monday, $A \cap B$ is the number of adults that watched TV both on Monday and Tuesday, $A \cap C$ is the number of students that watched TV both on Monday and Wednesday, and $A \cap B \cap C$ is the number of students that watched TV on every day.

By the same logic, we have:

$B = b + (B \cap C) + (A \cap B) + (A \cap B \cap C)$

$C = c + (A \cap C) + (B \cap C) + (A \cap B \cap C)$

This diagram has the following subsets:

$a,b,c,(A \cap B), (A \cap C), (B \cap C), (A \cap B \cap C)$

The sums of all of this values is the number of student that were there in the class. This means that we want to find the value of T:

$a + b + c + (A \cap B) + (A \cap C) + (B \cap C) + (A \cap B \cap C) = T$

We start finding the values from the intersection of three sets.

Solution:

12 students watched TV on all three days:

$A \cap B \cap C = 12$

14 students watched TV on both Monday and Tuesday

$A \cap B + A \cap B \cap C = 14$

$A \cap B = 14 - 12$

$A \cap B = 2$

Of those who watched TV on only one of these days, 13 choose Monday, 9 chose Tuesday, and 10 chose Wednesday.

$a = 13, b = 9, c = 10$

29 students watched television on Monday:

$A = 29$

$A = a + (A \cap B) + (A \cap C) + (A \cap B \cap C)$

$29 = 13 + 2 + (A \cap C) + 12$

$A \cap C = 29 - 27$

$A \cap C = 2$

24 on Tuesday

$B = 24$

$B = b + (B \cap C) + (A \cap B) + (A \cap B \cap C)$

$24 = 9 + (B \cap C) + 2 + 12$

$B \cap C = 24 - 23$

$B \cap C = 1$

Now we have every value needed to find T:

$T = a + b + c + (A \cap B) + (A \cap C) + (B \cap C) + (A \cap B \cap C)$

$T = 13 + 9 + 10 + 2 + 2 + 1 + 12$

$T = 49$

There were 49 students in the class

7 0

4 years ago

Based on the output when testing to see if the population mean heart rate of UK students is not equal to 80, identify the follow

AleksAgata [21]

Answer:

Step-by-step explanation:

a) $H_o: mu =80\\H_a: mu not equals 80\\$

b) Sample mean is the average of sample

c) std deviation of the sample

d) std dev/sq rt n

e) (sample mean - mu)/std error

f) p value = prob with test statistic

g) If p < alpha, reject H0.

h) If rejected, there is evidence that significant difference between population mean and sample mean.

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4 years ago

A person invests 10000 dollars in a bank. The bank pays 4.5% interest compounded

Greeley [361]

The person would have to leave the money in the bank for 7.8 years for it to reach 13,500 dollars.

Step-by-step explanation:

Step 1; First we must calculate how much interest is generated for a single year. The annual interest rate is 4.5% i.e. 4.5% of 10,000 dollars which equals 0.045 × 10,000 = 450 dollars a year. As the years pass, more and more will be put into the account due to interest.

Step 2; For there to be 13,500 dollars in the bank account we need to calculate how much money is added due to interest.

The money needed to be added through interest = 13,500 - 10,000 = 3,500 dollars.

So we need to determine how long it will take for the bank to add 3,500 dollars by adding 450 dollars a year.

The number of years to reach 13,500 dollars = $\frac{3,500}{450}$ = 7.777 years. By rounding this value to the nearest tenth, we get 7.8 years.

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3 years ago

a proportional relationship is represent by the equation 2 x=18 y.if y=k x,where k is the constant of proportionality,than what

tino4ka555 [31]

Sub 2nd into 1st
2x=18kx
2x/18x=k
k=1/9

6 0

3 years ago