Find the volume of this right rectangular prisms.

PLS HELP ME 50 POINTS!!!!! I NEED AN ANSWER ASAP!!!!!!

Sholpan [36]

Answer:

They went up 16 levels.

Step-by-step explanation:

You can find that by finding the distance from -2 to 14.
To find the distance from two numbers, $a$ and $b$ , we can substitute both in the formula $d = |b - a|$ , where d is the distance between them.

$d = |14 - (-2)| \to |14 + 2|\to|16|\to16$

4 0

1 year ago

Read 2 more answers

Jack is a college athlete who has been weighing himself weekly on the same scale in the athletic center for the past few years.

Radda [10]

Answer:

a) Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=\pm 1.64$

b) $\bar X \sim N(\mu ,\frac{\sigma}{\sqrt{n}})$

And the standard error is given by:

$SE = \frac{\sigma}{\sqrt{n}}=\frac{3}{\sqrt{9}}=1$

c) $\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And the margin of error is:

$ME= z_{\alpha/2} \frac{\sigma}{\sqrt{n}} = 1.64$

And then the confidence interval is be given by:

$200-1.64 = 198.36$

$200+1.64 = 201.64$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X= 200$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma=3$ represent the population standard deviation

n=9 represent the sample size

Part a

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that $z_{\alpha/2}=\pm 1.64$

Part b

The distribution for the sample mean is given by:

$\bar X \sim N(\mu ,\frac{\sigma}{\sqrt{n}})$

And the standard error is given by:

$SE = \frac{\sigma}{\sqrt{n}}=\frac{3}{\sqrt{9}}=1$

Part c

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And the margin of error is:

$ME= z_{\alpha/2} \frac{\sigma}{\sqrt{n}} = 1.64$

And then the confidence interval is be given by:

$200-1.64 = 198.36$

$200+1.64 = 201.64$

8 0

3 years ago

Anyone have answers to this whole sheet its literally due in 20 minutes

Minchanka [31]

Answer:

1. Communitave property

2. communitave property

3.

1. distribute 2 to x and 10 to get ride of parenthesis

2. subtract 2x from the left to move it to the right so x is by itself

3. add 15 to both sides to cancel it out on one side, and move to the other.

4. divide by 5 on both sides so you can get the value of x

5. flip equation so it is in the x equals form

4.

1. distribute 2 to the x and positive 3 on the left side, also distribute -4 to both x and -1 , to get rid of our parenthesis.

2. add 4x to both sides so it cancels out on one side and moves to the other ( our xs and numbers need to be on opposite sides)

3. subtract 4 on the left side to move it to the right side because again numbers on the right and letters on the left

4. divide by 6 on both sides of the equation to solve for x

5 0

3 years ago

Evaluate the exponential expression: (2x)2nd power −3y2nd power =___, if x = 5 and y = 3.

damaskus [11]

ANSWER

A. 73

EXPLANATION

The given expression is

$(2{x})^{2} - 3{y}^{2}$

We substitute x=5 and y=3 to obtain:

$(2 \times 5)^{2} - 3{(3)}^{2} = {10}^{2} - 3 \times 9$

This simplifies to,

$= 100 - 27$

$= 73$

The correct choice is A.

8 0

3 years ago

If |x-1| = |x+5|, find the value of x.

Rufina [12.5K]

Greetings.

The answer is x = -2.

Explanation:

By solving the Absolute-Value Equation. We give them 2 conditions.

When x ≥ 0 and When x < 0

The different is that When x ≥ 0, |x-a| = x-a as defined.

And when x < 0. |x-a| = -x+a as defined.

( 1 ) - When x ≥ 0 for |x-1| and |x+5|

When x ≥ 0, |x-1| = x-1 and |x+5| = x+5

Therefore, x-1 = x+5

$x-1=x+5\\x-x=5+1\\0=6$

Because the equation is false. Therefore, The condition (1) doesn't apply.

( 2 ) - When x ≥ 0 for |x-1| and x < 0 for |x+5|

This time, we try another condition.

When x ≥ 0, |x-1| = x-1 and When x < 0, |x+5| = -x-5.

$x-1=-x-5\\x+x=-5+1\\2x=-4\\x=-\frac{4}{2}\\x=-2$

And we get the answer, |x-1| = |x+5| when x = -2.

But we haven't tried the last condition.

( 3 ) And that is when x < 0 for both terms.

|x-1| = -x+1 (x < 0)

|x+5| = -x-5 (x < 0)

$-x+1=-x-5\\-x+x=-5-1\\0=-6$

The equation is not true. Therefore, the answer is x = -2.

8 0

3 years ago