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3 years ago

Is anyone able to help me?

Mathematics

1 answer:

bogdanovich [222]3 years ago

7 0

Answer:

The volume of this triangular prism is 20 $cm^{3}$

Step-by-step explanation:

Just like it is shown in the picture we can use the formula for the volume of a triangular prism.

$V = \frac{1}{2}bhl$

In our case b = 5cm, h = 2 cm, l = 4cm. Now we just plug in the values and get...

$V = \frac{1}{2}bhl\\\\$

$V = \frac{1}{2}(5)(2)(4)$

$V = 20cm^{3}$

Therefore the volume of the triangular prism is 20 $cm^{3}$ .

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As Jupiter revolves around the sun, it travels at a speed of approximately 8 miles per second. Convert this speed to miles per m

kolezko [41]

First to convert it you need to multiply 8 miles per second by 60 seconds because there are 60 seconds in a minute:

 8 miles x 60 s
1 second 1 min

The unit of seconds will cancel out so you will get 480 miles/ min

To get how far it travels in 4 min you need to multiply the speed by 4 minutes

 480 miles x 4 min
 1 min

The unit of minutes will cancel out to get 1920 miles

Therefore, jupiter travels at 480 miles per minute and in 4 minutes, it will travel 1920 miles.

3 0

3 years ago

Use the sample data and confidence level to construct the confidence interval estimate of the population proportion p. n equals

FrozenT [24]

Answer:

(0.2599,0.3401)

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 500

x = 150

$\hat{p} = \dfrac{x}{n} = \dfrac{150}{500} = 0.3$

Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = \pm 1.96$

Putting the values, we get:

$0.3\pm 1.96\sqrt{\dfrac{0.3(1-0.3)}{500}} = 0.3 \pm 0.0401 =(0.2599,0.3401)$

The 95% confidence interval is (0.2599,0.3401).

8 0

3 years ago

Select the correct answer

KatRina [158]

Answer:

Step-by-step explanation:

There is no answer choices so I can't really select an answer so I just provided my own. If you do provide the answer choices and my answer is wrong tell me and I will gladly change it. Anyways my explanation is since there are 7 days in a week and she collected 7 leaves for a week you would find this answer out by multiplying 7 by 7. 7x7=49

5 0

3 years ago

SOLVE THE EQUATION −9(x + 6) + 60 = 13 − 10x

yuradex [85]

Answer:

x=7

Step-by-step explanation:

−9(x + 6) + 60 = 13 − 10x

Distribute

−9x -54 + 60 = 13 − 10x

Combine like terms

-9x +6 = 13 -10x

Add 10x to each side

-9x+10x +6 = 13-10x+10x

x +6 = 13

Subtract 6 from each side

x+6-6=13-6

x = 7

7 0

3 years ago

I'm so confused please helpppppppp How is C correct please show your work

777dan777 [17]

Answer:

Step-by-step explanation:

She makes $325 a week, so go to the 8th row, for weekly income of $300 to $400. She claims 2 exemptions, so go to the third column labeled 2. The value is 2. That means the $2 is withheld from her paycheck on top of the 6.25% for FICA. The total is therefore:

$2 + (0.0625) ($325)

$22.3125

Rounded to the nearest cent, that's $22.31.

3 0

3 years ago