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3 years ago

Write the steps you would use to find a formula for the volume of the figure at right. Then write the formula.

Mathematics

1 answer:

Stels [109]3 years ago

8 0

So there are two shapes: a hemisphere and a cylinder

(1) Volume of a sphere = (4/3)*πr^3, therefor the volume of a hemisphere would be (2/3)*πr^3

(2) Volume of cylinder = πr^2h
Here the height is r therefor volume = πr^2*r = πr^3

So total volume = (2/3)*πr^3 + πr^3
= (5/3)*πr^3

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Elena received a 25 dollar gift card to a fun center she drives a race car which costs 0.75 she also wants to use the grift card

Alex777 [14]

B: 4.75+0.75n ≥25

Because she has already spent 4.75 and she only has $25 and she cannot spend more than$25

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2 years ago

What is the answer to this?

yawa3891 [41]

Answer:

Step-by-step explanation:

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4 years ago

A recent survey of students at John Tukey High School revealed that

RoseWind [281]

Answer:

0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they are in favor, or they are not. Students are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

18% of the students are in favor of changing the dress code.

This means that $p = 0.18$

You randomly select 15 students

This means that $n = 15$

What is the probability that at least three of these students are in favor of the proposal to change the dress code?

This is

$P(X \geq 3) = 1 - P(X < 3)$

In which

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{15,0}.(0.18)^{0}.(0.82)^{15} = 0.051$

$P(X = 1) = C_{15,1}.(0.18)^{1}.(0.82)^{14} = 0.1678$

$P(X = 2) = C_{15,2}.(0.18)^{2}.(0.82)^{13} = 0.2578$

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.051 + 0.1678 + 0.2578 = 0.4766$

$P(X \geq 3) = 1 - P(X < 3) = 1 - 0.4766 = 0.5234$

0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.

8 0

3 years ago

there are 5 cups of oat meal in a container. stella eats 1/3 cup of the oat meal every day for breakfast. in how many days will

rewona [7]

Answer:

15 days

Step-by-step explanation:

Well, since there are 5 cups of oatmeal, and she eats 1/3 a day, then the equation is: 5 divided by 1/3 then change 1/3 to its reciprocal which is 3. 5 times three is 15 so therefore Stella will finish it in 15 days.

<em>Your welcome.</em>

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3 years ago

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Tony bikes 8 miles in one hour. How far would he bike in 5 hours?

Yanka [14]

Answer:

5*8=40, <u>40</u> miles

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3 years ago

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