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3 years ago

What is the CIRCUMFERENCE of this pie?

Mathematics

1 answer:

Zepler [3.9K]3 years ago

7 0

Answer: 25.434 in. (round if you need)

Steps:
Circumference = 2πr
r = radius

8.1/2 = 4.05

2π(4.05) = 25.434 in

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NEED HELP NOW! A can of paint holds 500 mL of paint and is 6 in. tall. What is the diameter of the can? (Hint: 500

Setler [38]

Answer: 2.5 in

Step-by-step explanation:

A paint can is assumed to be a cylindrical shape. The formula for volume of a cylinder is V = Pi * r^2 * h

The volume is 500 mL, which we are told is 30.512 cubic inches

The problem says we can approximate Pi to be 3.14

The height is 6 in

So we need to solve for diameter of the base. In order to do that, solve for the radius first, and since d = 2r, just double the value of the radius

After plugging in what we know to the formula, we get
30.512 in^3 = 3.14 * r^2 * 6 in

30.512 in^3 / (3.14 * 6 in) = r^2

1.619533 in^2(rounded) = r^2

(1.619533 in^2)^(1/2) = l r l

1.272609 in (rounded) = r

Note: on the above step, we can immediately reject the negative solution, because a radius cannot be negative

Now that we have the radius, we simply double it to find the diameter

d = 2r

d = 2 * 1.272609

d = 2.545218

Since the question asked for the diameter rounded to the nearest tenth, the final answer is diameter = 2.5 in

6 0

3 years ago

Paul gets money for each chore he completes around the house. He receives $5.00 for taking out the garbage all week, $10.00 for

Butoxors [25]

Answer

$30

Step-by-step explanation:

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4 years ago

A horticulturist working for a large plant nursery is conducting experiments on the growth rate of a new shrub. Based on previou

Jet001 [13]

Answer:

Test statistic = - 3.354

We reject H0 and conclude that the growth rate of the new shrub is less than 3cm per week.

Step-by-step explanation:

H0 : μ = 3

H1 : μ < 3

The test statistic = (xbar - μ) / (s/ √n)

Xbar = 1.50

μ = 3

s = 3

n = 45

Test statistic = (1.5 - 3) / (3/ √45)

Test statistic = - 1.5 / 0.4472135

Test statistic = - 3.354

Pvalue, using the Pvalue from Z score calculator :

Pvalue = 0.00039826

α = 0.05

Pvalue < α ; We reject H0 and conclude that the growth rate of the new shrub is less than 3cm per week.

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3 years ago

PLEASE ANSWER HURRY THANK YOU

Juliette [100K]

Answer: A. $\dfrac{6}{203}$

Step-by-step explanation:

Given : Jason bought 10 of the 30 raffle tickets for a drawing.

i.e. Total tickets = 30

Also, Number of prizes = 3

The total number of combinations of getting 3 prizes out of 30 tickets = $^{30}C_3$

The number of combinations of getting 3 prizes out of 10 tickets = $^{10}C_3$

Then, the probability that Jason will win all 3 of the prizes if once a raffle ticket wins a prize it is thrown away will be :

$\dfrac{{^{30}C_3}}{^{10}C_3}$

$=\dfrac{\dfrac{10!}{3!7!}}{\dfrac{30!}{3!27!}}=\dfrac{120}{4060}=\dfrac{6}{203}$

Hence, the probability that Jason will win all 3 of the prizes if once a raffle ticket wins a prize it is thrown away is $\dfrac{6}{203}$ .

Hence, the correct answer is A. 6/203.

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Answer:

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Step-by-step explanation:

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3 years ago

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