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2 years ago

How do you find the volume of a cone

Mathematics

2 answers:

Lilit [14]2 years ago

5 0

The formula for the volume of a cone is 1/3 times pi times radius squared times height.

BaLLatris [955]2 years ago

3 0

Answer: v= pie r^2 h/3

Step-by-step explanation:

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According to an article in Newsweek, the rate of water pollution in China is more than twice that measured in the US and more th

jeyben [28]

Answer:

(a) 0.119

(b) 0.1699

Solution:

As per the question:

Mean of the emission, $\mu = 11.7$ million ponds/day

Standard deviation, $\sigma = 2.8$ million ponds/day

Now,

(a) The probability for the water pollution to be at least 15 million pounds/day:

$P(X\geq 15) = P(\frac{X - /mu}{\sigma} \geq \frac{15 - 11.7}{2.8})$

$P(X\geq 15) = P(Z \geq 1.178)$

$P(X\geq 15)$ = 1 - P(Z < 1.178)

Using the Z score table:

$P(X\geq 15)$ = 1 - 0.881 = 0.119

The required probability is 0.119

(b) The probability when the water pollution is in between 6.2 and 9.3 million pounds/day:

$P(6.2 < X < 9.3) = P(\frac{6.2 - 11.7}{2.8} < \frac{X - \mu}{\sigma} < \frac{9.3 - 11.7}{2.8})$

$P(6.2 < X < 9.3) = P(- 1.96 < Z < - 0.86)$

P(Z < - 0.86) - P(Z < - 1.96)

Now, using teh Z score table:

0.1949 - 0.025 = 0.1699

4 0

3 years ago

Norman makes $15 commission for selling $200 in merchandise. he makes $37.50 commission for selling $500 in merchandise. assumin

vladimir2022 [97]

So he needs to sell $2,000 in merchandise.

<h3>what is the total value of merchandise he needs to sell?</h3>

We can assume that we have a proportional relation:

y = k*x

Where y is the commission and x is what Norman sells, then:

$15 = k*$200

k = $200/$15 = 0.075

$37.50 = k*$500

k = $500/$37.50 = 0.075

Then the relation is:

y = 0.075*x

If he wants a commission of $150, then:

$150 = 0.075*x

$150/0.075 = x = $2,000

So he needs to sell $2,000 in merchandise.

If you want to learn more about proportional relationships:

brainly.com/question/12242745

#SPJ1

3 0

2 years ago

I’m super confused new topic not sure what to do for this one

geniusboy [140]

There’s no question here.

8 0

1 year ago

I don’t understand how to do this

schepotkina [342]

Answer:

The solution is $x =0.$

Step-by-step explanation:

The equation

$\bold{(1).}\: sin(\dfrac{3\pi }{2} +x)+sin(\dfrac{3\pi }{2} +x) =-2$

can be rewritten as

$2* sin(\dfrac{3\pi }{2} +2) =-2$

and can be further simplified to

$sin(\dfrac{3\pi }{2}+x ) =-1$ .

Now, taking the inverse sine of both sides we get:

$sin^{-1}(sin(\dfrac{3\pi }{2} +x) =sin^{-1}(-1)$

$\bold{(2).}\: \dfrac{3\pi }{2} +2 =sin^{-1}(-1)$

The value of the right side on the interval $[0,2\pi)$ is

$sin^{-1}(-1) = \dfrac{3\pi}{2} \: \:( \text{or }270^o)$ ,

which makes the equation (2)

$\dfrac{3\pi }{2}+x =\dfrac{3\pi}{2}$

solving for $x$ gives

$\boxed{x = 0}$

which is our solution.

4 0

3 years ago

If you had an item that was $32 and the markup is 40% what would the cost be

Serggg [28]

Answer:

44.8

Step-by-step explanation:

multiple 32 by 1.4

6 0

3 years ago