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insens350 [35]
2 years ago
8

Write and solve an equation to answer the question, "39.2 is what percent p of 112?" An equation is __ =p⋅ __. The solution is p

= __, or __%.
Mathematics
2 answers:
Roman55 [17]2 years ago
6 0
It would be X=0.35=25%
andrey2020 [161]2 years ago
5 0
39.2 = 112x

x = 0.35 = 35%
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An example problem in a Statistics textbook asked to find the probability of dying when making a skydiving jump.
MArishka [77]

Answer:

(a) 0.999664

(b) 15052

Step-by-step explanation:

From the given data of recent years,  there were about 3,000,000 skydiving jumps and 21 of them resulted in deaths.

So, the probability of death is \frac{21}{3000000}==0.000007.

Assuming, this probability holds true for each skydiving and does not change in the present time.

So, as every skydiving is an independent event having a fixed probability of dying and there are only two possibilities, the diver will either die or survive, so, all skydiving can be regarded as is Bernoulli's trial.

Denoting the probability of dying in a single jump by q.

q=7\times 10^{-6}=0.000007.

So, the probability of survive, p=1-q

\Rightarrow p=1-7\times 10^{-6}=0.999993.

(a) The total number of jump he made, n=48

Using Bernoulli's equation, the probability of surviving in exactly 48 jumps (r=48) out of 48 jumps (n=48) is

=\binom(n,r)p^rq^{n-r}

=\binom(48,48)(0.999993)^{48}(0.000007)^{48-48}

=(0.999993)^{48}=0.999664 (approx)

So, the probability of survive in 48 skydiving is 0.999664,

(b) The given probability of surviving =90%=0.9

Let, total n skydiving jumps required to meet the surviving probability of 0.9.

So, By using Bernoulli's equation,

0.9=\binom {n }{r} p^rq^{n-r}

Here, r=n.

\Rightarrow 0.9=\binom{n}{n}p^nq^{n-n}

\Rightarrow 0.9=p^n

\Rightarrow 0.9=(0.999993)^n

\Rightarrow \ln(0.9)=n\ln(0.999993) [ taking \log_e both sides]

\Rightarrow n=\frac {\ln(0.9)}{\ln(0.999993)}

\Rightarrow n=15051.45

The number of diving cant be a fractional value, so bound it to the upper integral value.

Hence, the total number of skydiving required to meet the 90% probability of surviving is 15052.

3 0
3 years ago
A city has a populationof 370,000 people. Suppose that each year the population grows 7%. What will the population be after 8 ye
maksim [4K]

Answer:

577,220 will be the population I think

Step-by-step explanation:

370,000/100=3700=1%

3,700*7=25,900

25,900*8=207,200

370,000+207,200=577,220

3 0
3 years ago
My stoopid ahh needs help with something else someone HELP
Pepsi [2]
B because you don’t know exactly how many times she’s gonna grab the marbles
7 0
3 years ago
Read 2 more answers
X + y = -1<br> X - y = 7
enyata [817]
1: Solve for either x or y in one of the equations. So x + y = -1 is y = -x -1
2: substitute the new equation in the opposite equation. So x - (-x - 1) = 7
3: distribute the negative. X + x + 1 = 7
4: combine like terms. 2x + 1 = 7
5: solve for x. Subtract 1 on both sides. 2x = 6
6: divide by 2 to get x by itself. X = 3
7: plug the new value of x into one of the ORIGINAL equations. 3 + y = -1
8: solve for y. Subtract 3 on both sides.
Y = -4
9: the solution is written as (x,y) so the solution would be (3, -4)
4 0
3 years ago
Jacob is asked to solve the follow problem: "Kayla is 9 years older than twice Hannah’s age. If the difference in their ages is
tatiyna

Answer:

Step-by-step explanation:

k = 2h+9

h+16=k

h+16=2h+9

-h = -7

h = 7

hannah is 7 and kayla is 23

jacob is wrong because if u do 16*2+7 it’s 39 and 39-16 does not equal 16

6 0
2 years ago
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