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3 years ago

NEED HELP 100 POINTS TO ANSWER ALL THREE QUESTIONS PLEASE

Mathematics

1 answer:

avanturin [10]3 years ago

4 0

Answer:

1. V = 130 in³

Step-by-step explanation:

1. You can find the volume of a rectangular prism with this formula:

( l • w )h

(20 • 2)3 1/4

130

And then add the label in³

<h3>Answer:</h3>

2. V = 20 ft³

<h3>Step-by-step explanation:</h3>

2. A box is the same as a rectangular prism.

Use the same formula to find the answer.

(4•2 1/2)2

And then add the label ft³

<h3>Answer:</h3>

3. V = 10 in³

<h3>Step-by-step explanation:</h3>

3. It doesn't matter if the rectangular prism is a "right" one so you can just use the same formula for a rectangular prism.

5/4 = 1 1/4 or 1.25

(1.25 • 2)2

And then add the label in³

PLEASE! If you have any questions make sure to leave a comment on this post and I will happily help you out!

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In ΔTUV, the measure of ∠V=90°, the measure of ∠U=70°, and UV = 9.6 feet. Find the length of TU to the nearest tenth of a foot.

Nutka1998 [239]

28.1 feet

explaination

\cos U = \frac{\text{adjacent}}{\text{hypotenuse}}=\frac{9.6}{x}

cosU=

hypotenuse

adjacent

=

x

9.6

\cos 70=\frac{9.6}{x}

cos70=

x

9.6

x\cos 70=9.6

xcos70=9.6

Cross multiply.

\frac{x\cos 70}{\cos 70}=\frac{9.6}{\cos 70}

cos70

xcos70

=

cos70

9.6

Divide each side by cos 70.

x=\frac{9.6}{\cos 70}=28.0685\approx 28.1\text{ feet}

x=

cos70

9.6

=28.0685≈28.1 feet

Type into calculator and roundto the nearest tenth of a foot.

8 0

3 years ago

In the equation z/6 =

Nikitich [7]

Hi there!

»»————-　★　————-««

I believe your answer is:

"Isolate the variable using inverse operations."

»»————-　★　————-««

Here’s why:

To solve for a variable, we would have to isolate it on one side.

To isolate it, we would use inverse operations on both sides on the equation until the variable is isolated.

There are no like terms in the given equation.

⸻⸻⸻⸻

$\boxed{\text{Solving for 'z'...}}\\\\\frac{z}{6} = 36\\-------------\\\rightarrow (\frac{z}{6})6 = (36)6\\\\\rightarrow \boxed{z = 216}$

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

5 0

3 years ago

Read 2 more answers

In which equation x is = to 180 (A) x/49=7 (B) x/12-7 =13 (C) x/3-15=45

topjm [15]

The answers is C. because when you do 180/3-15 you get 45 as the answer.

7 0

3 years ago

Solve the problem. Use the Central Limit Theorem.The annual precipitation amounts in a certain mountain range are normally distr

bazaltina [42]

Answer:

0.8944 = 89.44% probability that the mean annual precipitation during 25 randomly picked years will be less than 112 inches.

Step-by-step explanation:

To solve this question, we use the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .