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4 years ago

Need help will give brainliest:

Mathematics

2 answers:

stich3 [128]4 years ago

7 0

It was 2316 years ago.

aleksandrvk [35]4 years ago

4 0

Here's a picture for you question

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sergij07 [2.7K]

Answer:

A. Circular base of the bucket

B. Bucket

Step-by-step explanation:

We are given that,

1. The dimensions of the rectangular prism are,

Length = 2 feet, Width = 3 feet and Height = 5 feet.

So, we have,

Area of the rectangular base = $Length\times Width$

i.e. Area of the rectangular base = $2\times 3$

i.e. Area of the rectangular base = 6 feet²

Also, we have,

Volume of the prism = $whl$

i.e. Volume of the prism = $3\times 5\times 2$

i.e. Volume of the prism = 30 feet³

2. The dimensions of the cylinder are given as,

Diameter = 3 feet i.e Radius = $\frac{3}{2}$ = 1.5 feet

Height = 5 feet

Then, we have,

Area of the circular base = $\pi r^2$

i.e. Area of the circular base = $\pi (1.5)^2$

i.e. Area of the circular base = $2.25\pi$

i.e. Area of the circular base = 7.07 feet²

Also, we have,

Volume of the cylinder = $\pi r^{2}h$

i.e. Volume of the cylinder = $\pi (1.5)^{2}\times 5$

i.e. Volume of the cylinder = $\pi 2.25\times 5$

i.e. Volume of the cylinder = $11.25\pi$

i.e. Volume of the cylinder = 35.34 feet³

PART A: Since we have,

Area of the rectangular base = 6 feet² < 7.07 feet² = Area of the circular base

Hence, the circular base of the bucket is larger in area.

PART B: We have,

Volume of the prism = 30 feet³ < 35.34 feet³ = Volume of the cylinder

Hence, the bucket is larger in volume.

3 0

3 years ago

What is 2 times 294747

Hunter-Best [27]

Answer:

589494

Step-by-step explanation:

4 0

4 years ago

6 high school seniors choose from among 20 quotes for their yearbook. What is the probability that at least 2 of them choose the

shusha [124]

Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem, we have that:

There are 6 students, hence n = 6.

There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.

The probability of one quote being chosen at least two times is given by:

$P(X \geq 2) = 1 - P(X < 2)$

In which:

P(X < 2) = P(X = 0) + P(X = 1).

Then:

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

$P(X = 0) = C_{6,0}.(0.05)^{0}.(0.95)^{6} = 0.7351$

$P(X = 1) = C_{6,1}.(0.05)^{1}.(0.95)^{5} = 0.2321$

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.

$P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9672 = 0.0328$

0.0328 = 3.28% probability that at least 2 of them choose the same quote.

More can be learned about the binomial distribution at brainly.com/question/24863377

6 0

2 years ago

The frequency table represents the job status of a number of high school students. A 4-column table with 3 rows titled job statu

Aliun [14]

Answer:

third graph

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is the slope of the line? please help right answers only please!

grigory [225]

Answer: 2

Step-by-step explanation:

$Slope = \frac{y_{2} -y_{1} }{x_{2}-x_{1} } \\Slope = \frac{3 - 1}{1} = 2$

8 0

3 years ago

Read 2 more answers