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mr Goodwill [35]

2 years ago

5

In a standard normal curve, what percentile corresponds to a z-score of 2.0?

1 answer:

Alja [10]2 years ago

4 0

The percentile that corresponds to Z=2 is about 97.7.

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Answer this volume based Question. I will make uh brainliest + 50 points

Harlamova29_29 [7]

Answer:

$\huge{\purple {r= 2\times\sqrt[3]3}}$

$\huge 2\times \sqrt [3]3 = 2.88$

Step-by-step explanation:

For solid iron sphere:
radius (r) = 2 cm (Given)

Formula for $V_{sphere}$ is given as:

$V_{sphere} =\frac{4}{3}\pi r^3$

$\implies V_{sphere} =\frac{4}{3}\pi (2)^3$

$\implies V_{sphere} =\frac{32}{3}\pi \:cm^3$

For cone:
r : h = 3 : 4 (Given)
Let r = 3x & h = 4x

Formula for $V_{cone}$ is given as:

$V_{cone} =\frac{1}{3}\pi r^2h$

$\implies V_{cone} =\frac{1}{3}\pi (3x)^2(4x)$

$\implies V_{cone} =\frac{1}{3}\pi (36x^3)$

$\implies V_{cone} =12\pi x^3\: cm^3$

It is given that: iron sphere is melted and recasted in a solid right circular cone of same volume
$\implies V_{cone} = V_{sphere}$

$\implies 12\cancel{\pi} x^3= \frac{32}{3}\cancel{\pi}$

$\implies 12x^3= \frac{32}{3}$

$\implies x^3= \frac{32}{36}$

$\implies x^3= \frac{8}{9}$

$\implies x= \sqrt[3]{\frac{8}{3^2}}$

$\implies x={\frac{2}{ \sqrt[3]{3^2}}}$

$\because r = 3x$

$\implies r=3\times {\frac{2}{ \sqrt[3]{3^2}}}$

$\implies r=3\times 2(3)^{-\frac{2}{3}}$

$\implies r= 2\times (3)^{1-\frac{2}{3}}$

$\implies r= 2\times (3)^{\frac{1}{3}}$

$\implies \huge{\purple {r= 2\times\sqrt[3]3}}$
Assuming log on both sides, we find:

$log r = log (2\times \sqrt [3]3)$

$log r = log (2\times 3^{\frac{1}{3}})$

$log r = log 2+ log 3^{\frac{1}{3}}$

$log r = log 2+ \frac{1}{3}log 3$

$log r = 0.4600704139$

Taking antilog on both sides, we find:

$antilog(log r )= antilog(0.4600704139)$

$\implies r = 2.8844991406$

$\implies \huge \red{r = 2.88\: cm}$

$\implies 2\times \sqrt [3]3 = 2.88$

8 0

2 years ago

If you buy 3 shirts, you get 10% discount. If you paid $270 for 6 shirts

earnstyle [38]

Answer:

50$

Step-by-step explanation:

270/6=45

10% of 50 is 5

so 50-5= 45

6 0

2 years ago

Read 2 more answers

Colton is filling 5 aquariums with water. Each aquarium needs 72 gallons of water. About how many gallons of water are needed to

Natali5045456 [20]

A. about 14
divide 72/5= 14.4 which rounds to 14

4 0

2 years ago

I tried this few times in yeah so i could not find it.

Step2247 [10]

Answer:

5 is the answer

Step-by-step explanation:

$\dfrac{ \left( 44+ { 9 }^{ 2 } \right) }{ { 5 }^{ 2 } }$

Calculate 9 to the power of 2 and get 81

$\dfrac{ 44+81 }{ { 5 }^{ 2 } }$

Add 44 and 81 to get 125

$\dfrac{ 125 }{ { 5 }^{ 2 } }$

Calculate 5 to the power of 2 and get 25

$\frac{125}{25}$

Divide 125 by 25 to get 5

$5$

7 0

2 years ago

CAN SOMEONE HELP ME

ANTONII [103]

Answer:

C is the answer

you can also see

7 0

2 years ago