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3 years ago

9 out of 12 is what percent?

Mathematics

1 answer:

Alina [70]3 years ago

3 0

Answer:

9 out of 12 is 75%

Step-by-step explanation:

you would divide 9 by 12, and your answer would be:

1) 0.75 for decimal form

2) 75% for percentage

3) 3/4 for fraction

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Geologists estimate the time since the most recent cooling of a mineral by counting the number of uranium fission tracks on the

Oliga [24]

Answer:

(a) The value of P (X = 7) is 0.1388.

(b) The value of P (X ≥ 3) is 0.9380.

(d) $\mu_{X}=6$

(e) $\sigma_{X}=2.45$

Step-by-step explanation:

Let X = number of uranium fission tracks on per cm² surface area of the mineral.

The average number of track per cm² surface area is, λ = 6.

The random variable X follows a Poisson distribution with parameter λ = 6.

The probability mass function of a Poisson distribution is:

$P(X=x)=\frac{e^{-\lambda}\lambda^{x}}{x!};\ x=0, 1, 2, 3...$

(a)

Compute the value of P (X = 7) as follows:

$P(X=6)=\frac{e^{-6}(6)^{7}}{7!}=\frac{0.0025\times 279936}{5040}=0.1388$

Thus, the value of P (X = 7) is 0.1388.

(b)

Compute the value of P (X ≥ 3) as follows:

P (X ≥ 3) = 1 - P (X < 3)

= 1 - P (X = 0) - P (X = 1) - P (X = 2)

$=1-\frac{e^{-6}(6)^{0}}{0!}-\frac{e^{-6}(6)^{1}}{1!}-\frac{e^{-6}(6)^{2}}{2!}\\=1-0.00248-0.01487-0.04462\\=0.93803\\\approx0.9380$

Thus, the value of P (X ≥ 3) is 0.9380.

(c)

Compute the value of P (2 < X < 7) as follows:

P (2 < X < 7) = P (X = 3) + P (X = 4) + P (X = 5) + P (X = 6)

$=\frac{e^{-6}(6)^{3}}{3!}+\frac{e^{-6}(6)^{4}}{4!}+\frac{e^{-6}(6)^{5}}{5!}+\frac{e^{-6}(6)^{6}}{6!}\\=0.08924+0.13385+0.16062+0.16062\\=0.54433\\\approx0.5443$

Thus, the value of P (2 < X < 7) is 0.5433.

(d)

The mean of the Poisson distribution is:

$\mu_{X}=\lambda=6$

(e)

The standard deviation of the Poisson distribution is:

$\sigma_{X}=\sqrt{\sigma^{2}_{X}}=\sqrt{\lambda}=\sqrt{6}=2.4495\approx2.45$

5 0

3 years ago

you go to store with money [m]spend 3.40 after paing you have 9.50 left write a agelbraiic exprrision to find out how much [m] y

ankoles [38]

Answer:

X = 9.5 + m

Step-by-step explanation:

m = money spent

x = money you had at the beginning

x = 9.5 + m

Substitute m in for 3.4

X = 9.5 + 3.4

Solve for x

X = 12.9

You started with $12.90

6 0

3 years ago

What does x equal to x/7 - 4 = -5

beks73 [17]

Answer:

x = -7

Step-by-step explanation:

So we are asked to find what x is equal to in the equation:

$\frac{x}{7}-4=-5$

In other words, we are asked to solve for x.

$\frac{x}{7}-4=-5$

Add 4 to both sides of the equation.

$\frac{x}{7}=-1$

Multiply both sides by 7.

x = -7

So we have solve the equation for x and have found that x = -7.

I hope you find my answer and explanation to be helpful. Happy studying.

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3 years ago

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write an equation in slope intercept form for the line that has a slope of 4 and passes through the point (3,24)

Paladinen [302]

Answer:

y=4x+12

Step-by-step explanation:

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3 years ago

Help my brain cant take it anymore

koban [17]

Answer:

192

Step-by-step explanation:

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3 years ago

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