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3 years ago

A rectangle is drawn on a coordinate plane. Three vertices of the rectangle are points

Mathematics

1 answer:

igomit [66]3 years ago

5 0

Answer:

Step-by-step explanation:

The distance from B to C is the same as the distance from A to D. Points B and C will both have the same x-value, as do points A and D. Points B and C will have the same difference in y-values (2 -(-2) = 4) that points A and D have.

The distance from B to C is 4 units.

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A cylindrical tank has a height of 10 feet and a radius of 4 feet. Jane fills the tank with water at a rate of 8 cubic feet per

ki77a [65]

Given:

A cylindrical tank has a height of 10 feet.

The radius of the cylindrical tank is 4 feet.

Jane fills the tank with water at a rate of 8 cubic feet per minute.

We need to determine the time it will take for Jane to completely fill the tank without overflowing it.

Volume of the cylinder:

The volume of the cylinder can be determined using the formula,

$V=\pi r^2 h$

Substituting the values, we have;

$V=(3.14)(4)^2(10)$

$V=(3.14)(16)(10)$

$V=502.4$

Thus, the volume of the cylinder is 502.4 cubic feet.

Time taken:

The time taken can be determined using the formula,

$Time = \frac{Volume}{Rate \ of\ filling}$

Substituting the values, we have;

$Time = \frac{502.4}{8}$

$Time = 62.8$

Thus, Jane takes 62.8 minutes to completely fill the tank without overflowing it.

3 0

3 years ago

How is 0.136 repeated written as a fraction in simplest form

jolli1 [7]

Repeated fractions are written with 9's in the denominator.

0.136 = 136/1000
0.136 repeated = 136/999

3 0

3 years ago

Heather, a sociology major is interested in studying mass media topics. She is particularly interested in the percentage of mass

Serhud [2]

Answer:

Null hypothesis: $p=0.72$

Alternative hypothesis: $p \neq 0.72$

$p_v = 2*P(|z|>z_{calc})$

And the best answer for this case is:

C. p-value

Step-by-step explanation:

Data given and notation

n represent the random sample taken

$\hat p$ estimated proportion of interest

$p_o=0.72$ is the value that we want to test

$\alpha=0.05$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion i 0.72 or no.:

Null hypothesis: $p=0.72$

Alternative hypothesis: $p \neq 0.72$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

For this case the only probability that can be calculated from the statistic calculated is the p value given by:

$p_v = 2*P(|z|>z_{calc})$

And the best answer for this case is:

C. p-value

3 0

3 years ago

(36.97*100-x)*100 = ???

inna [77]

The answer to X is = 369700

7 0

3 years ago

I will give brainlist!

Ilya [14]

Answer:

The length of x is 4

Step-by-step explanation:

The scale factor is Large/small where 10/8 which is DF/AC.

THE SCALE factor is 5/4.

To find the length of X is in AB we use the scale factor 5/4 and the corresponding DE.

5/4 = DE/AB

5/4 = 5/X

X = 4

To find Y in EF will use the corresponding BC which is 6.

5/4 = EF/BC

5/4 = Y/6

Y= 7.5

info: use CORRESPONDING ABC AND DEF .

3 0

3 years ago