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2 years ago

Suppose the scores on a trivia quiz are normally distributed with a mean of 80 and a standard deviation of 5.

Mathematics

1 answer:

Kitty [74]2 years ago

8 0

I think it would be scores below 75

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Let $ 500 be paid at the end of each quarter for 5 years. If the interest is earned rate of 13%, compounded quarterly, find the

kap26 [50]

Answer:

Future value of annuity (FV) = $13,782.12 (Approx)

Step-by-step explanation:

Given:

Periodic payment p = $500

Interest rate r = 13% = 13%/4 = 0.0325 (Quarterly)

Number of period n = 5 x 4 = 20 quarter

Find:

Future value of annuity (FV)

Computation:

$Future\ value\ of\ annuity\ (FV)=p[\frac{(1+r)^n-1}{r} ] \\\\Future\ value\ of\ annuity\ (FV)=500[\frac{(1+0.0325)^{20}-1}{0.0325} ] \\\\Future\ value\ of\ annuity\ (FV)=13,782.1219 \\\\$

Future value of annuity (FV) = $13,782.12 (Approx)

7 0

2 years ago

What is the scale factor of two similar pyramids with volume of 13824 cubic feel and 216 cubic feet?

velikii [3]

Answer: The scale factor is 4

Step-by-step explanation:

We know that the pyramids are similar. The volume of one of these pyramids is 13,824 cubic feet and the volume of the other one is 216 cubic feet. Then:

$V_1=13,824ft^3\\V_2=216ft^3$

By Similar solids theorem, if two similar solids have a scale factor of $\frac{a}{b}$ , then corresponding volumes have a ratio of $\frac{a^3}{b^3}$

Then:

$\frac{V_1}{V_2}=\frac{a^3}{b^3}$

Knowing this, we can find the scale factor. This is:

$\frac{13,824}{216}=\frac{a^3}{b^3}\\\\\frac{13,824}{216}=(\frac{a}{b})^3\\\\\frac{a}{b}=\sqrt[3]{\frac{13,824}{216}}\\\\scale\ factor=\frac{a}{b}=4$

3 0

2 years ago

I need help pls!! Question in the picture!!

SIZIF [17.4K]

Answer:

ABD=180 and EHF=90

Step-by-step explanation:

8 0

2 years ago

Midpoint segment plaese help shcolor in training

Paladinen [302]

Same as any other midpoint of line segment or two points, it is the average of the two points x and y coordinates...

mp=((x1+x2)/2, (y1+y2)/2)

mp=((-6+16)/2, (-9+5)/2)

mp=(10/2, -4/2)

mp=(5, -2)

5 0

3 years ago

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Please help I will give brainliest!

Gwar [14]

Answer:

Step-by-step explanation:

538 = 540

509 = 510

40 - 10 = 30

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2 years ago

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