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Crazy boy [7]
2 years ago
5

Which is the equation that can be used to find the volume of any prism? (Geometry)

Mathematics
1 answer:
SpyIntel [72]2 years ago
5 0

Answer:

V=Bh

Step-by-step explanation:

thare are muliple ways to use this equation like V=Bh

V=1/2Bh or V=1/3Bh

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The yearbook committee polled 80 randomly selected students from a class of 320 ninth graders to see if they would be willing to
Anon25 [30]

Using the z-distribution, as we are working with a proportion, it is found that the margin of error for the 90% confidence interval is of 0.0524 = 5.24%.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

The margin of error is given by:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

In this problem, the critical value is given as z = 1.645, and since 26 out of 80 students said they would be willing to pay extra:

n = 80, \pi = \frac{26}{80} = 0.325

Then, the <em>margin of error</em> is of:

M = 1.645\sqrt{\frac{0.325(0.675)}{80}} = 0.0524

More can be learned about the z-distribution at brainly.com/question/25890103

5 0
2 years ago
Xavier is attempting to recreate a problem his teacher showed him in class. To do so, he creates the table below.
Rashid [163]

Answer:

7 is thee answer

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Simplify the following algebraic expression: 2 (2x + 3y) + 3 (5 – 2x) +1+y
Gnoma [55]

Answer: -2x+7y+16

Step-by-step explanation:

1. Distribute 2 through the parentheses

  • 4x+6y+3(5-2x)+1+y              
  • 4x+6y+15-6x+1+y

2. Collect like terms

  • -2x+6y+15+1+y  
  • -2x+7y+15+1
  • -2x+7y+16

3. Solution, -2x+7y+16

5 0
3 years ago
I need help urgent plz someone help me solved this problem! Can someone plz help I’m giving you 10 points! I need help plz help
VMariaS [17]

Answer: a) 8.779 years

               b) 8.664 years

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

a)

A=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}

  • A: accumulated amount (balance)
  • P: principal amount (original/initial investment)
  • r: interest rate (convert to a decimal)
  • n: number of times compounded per year
  • t: number of years

Given: A = 1800, P = 900, r = 8% = 0.08, n = 3, t = unknown

1800=900\bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\2=\bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\ln\ 2=ln \bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\ln\ 2=3t\ ln\bigg(1+\dfrac{0.08}{3}\bigg)\\\\\\\dfrac{ln\ 2}{3\ ln\bigg(1+\dfrac{0.08}{3}\bigg)}=t\\\\\\\large\boxed{8.779=t}

b)  

A=Pe^{rt}

1800=900e^{0.08t}\\\\\\2=e^{0.08t}\\\\\\ln\ 2=0.08t\\\\\\\dfrac{ln\ 2}{0.08}=t\\\\\\\large\boxed{8.664=t}

4 0
3 years ago
A cone has a height of 4 in and a radius of 6 in. What is the volume of the cone?
MatroZZZ [7]

Answer:

48π in³

Step-by-step explanation:

V=\frac{1}{3} \pi r^2h

Plug in the radius 6 in and the height 4 in

V=\frac{1}{3} \pi (6)^2(4)\\V=\frac{1}{3} \pi (36)(4)\\V=\frac{1}{3} \pi (144)\\V=48\pi

Therefore, the volume of the cone is 48π in³.

I hope this helps!

3 0
2 years ago
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