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vivado [14]
3 years ago
13

The volume of a cone of radius r and height h is V=1/3πr^2 h.Solve for r.Please help me anyone!!!! I need to know the answer now

!!!
Mathematics
1 answer:
notka56 [123]3 years ago
5 0
V= \dfrac{1}{3}  \pi r^2h

V= \dfrac{ \pi r^2h}{3}

3V=  \pi r^2h

r^2 =  \dfrac{3V}{ \pi h}

r =   \sqrt{\dfrac{3V}{ \pi h}}
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“Solve the system using elimination” im not good at math so can someone help me
iris [78.8K]

Answer:

No solutions

Step-by-step explanation:

i did this via substitution so i hope it isn't a problem

3x+y=4

6x+2y=−4

Step: Solve 3x+y=4for y:

3x+y+−3x=4+−3x(Add -3x to both sides)

y=−3x+4

Step: Substitute−3x+4foryin6x+2y=−4:

6x+2y=−4

6x+2(−3x+4)=−4

8=−4(Simplify both sides of the equation)

8+−8=−4+−8(Add -8 to both sides)

0=−12

so there are no solutions

hope this helps!!

8 0
3 years ago
Combine all the like terms on the right side. 0= x + )x+​
Fittoniya [83]

Answer:

Where is it?

Step-by-step explanation:

5 0
2 years ago
(2v-3u)-(v-4u)+(v+4u)​
lara [203]

Answer:

2v + 5u

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Lisa decides to bake a cake if she uses 3/4 cups of flour to make the first and cake and 1/2 cup of flour for the second cake ho
solmaris [256]
1 1/4 cups of flour

Explanation:
3/4 + 1/2
LCD- 4
Make an equivalent fraction to 1/2 that has the denominator 4:
1/2 -> 2/4

3/4 + 2/4 = 1 1/4

Have a nice day, hope this helps!
7 0
2 years ago
One strange phenomenon that sometimes occurs at U.S. airport security gates is that an otherwise law-abiding passenger is caught
valentinak56 [21]

Answer:

c. 0.16

Step-by-step explanation:

For each passenger there are only two possible outcomes. Either they are caught with a gun, or they are not. The probability of a passenger being caught with a gun is independent from other passengers. So we use the binomial probability distribution to solve this question.

However, we are working with samples that are considerably big. So i am going to aproximate this binomial distribution to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 3000000, p = 0.00001

So

\mu = E(X) = np = 3000000*0.00001 = 30

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{3000000*0.00001*(1-0.00001)} = 5.48

What is the probability that tomorrow more than 35 domestic passengers will accidentally get caught with a gun at the airport?

This probability is 1 subtracted by the pvalue of Z when X = 35. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{35 - 30}{5.48}

Z = 0.91

Z = 0.91 has a pvalue of 0.8186

1 - 0.8186 = 0.1814.

The closest answer is:

c. 0.16

8 0
3 years ago
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