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Gnesinka [82]
3 years ago
10

Which undefined term can contain parallel lines? line plane point ray

Mathematics
1 answer:
allochka39001 [22]3 years ago
4 0
Last option, ray contains parallel lines
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In a certain city, the daily consumption of electric power, in millions of kilowatt-hours, is a random
kupik [55]

Answer:

a) \alpha = 3, \beta = 2

b) 0.0620

Step-by-step explanation:

We are given the following in the question:

Population mean, \mu = 6

Variance, \sigma^2 = 12

a) Value of \alpha, \beta

We know that

\alpha \beta = \mu = 6\\\alpha \beta^2 = \sigma^2 = 12

Dividing the two equations, we get,

\dfrac{\alpha\beta^2}{\alpha\beta} = \dfrac{12}{6}\\\\\Rightarrow \beta = 2\\\alpha \beta = 6\\\Rightarrow \alpha = 3

b) probability that on any given day the daily  power consumption will exceed 12 million kilowatt hours.

We can write the probability density function as:

f(x,3,2) = \dfrac{1}{2^{3}(3-1)!}x^{3-1}e^{-\frac{x}{2}}, x > 0\\\\f(x,3,2) = \dfrac{1}{16}x^{2}e^{-\frac{x}{2}}, x > 0

We have to evaluate:

P(x >12)\\\\= \dfrac{1}{16}\displaystyle\int^{\infty}_{12}f(x)dx\\\\=\dfrac{1}{16}\bigg[-2x^2e^{-\frac{x}{2}}-2\displaystyle\int xe^{-\frac{x}{2}}dx}\bigg]^{\infty}_{12}\\\\=\dfrac{1}{8}\bigg[x^2e^{-\frac{x}{2}}+4xe^{-\frac{x}{2}}+8e^{-\frac{x}{2}}\bigg]^{\infty}_{12}\\\\=\dfrac{1}{8}\bigg[(\infty)^2e^{-\frac{\infty}{2}}+4(\infty)e^{-\frac{\infty}{2}}+8e^{-\frac{\infty}{2}} -( (12)^2e^{-\frac{12}{2}}+4(12)e^{-\frac{12}{2}}+8e^{-\frac{12}{2}})\bigg]\\\\=0.0620

0.0620 is the required probability that on any given day the daily  power consumption will exceed 12 million kilowatt hours.

3 0
4 years ago
Damien has $1.20 in dimes and nickels. If he has 6 more nickels than dimes, how many of each coin does he have? How many nickels
mash [69]
The answer is...

142 nickels

AND

12 dimes.
7 0
3 years ago
Simplify the expression 3a+4+b+2a+5+b
ss7ja [257]
3a + 4 + b + 2a + 5 + b

Group like terms:

3a+2a+b+b+ 4+ 5 

5a + 2b + 4 + 5

= 5a+2b+ 9

hope this helps!
8 0
3 years ago
Read 2 more answers
What is an<br> equation of the line that passes through the points (-6,5) and (6, 7)?
Alekssandra [29.7K]

Answer:

Y= -x - 1

Step-by-step explanation:

das it   :->

8 0
3 years ago
The picture above wants me to make a equation with the table .
larisa86 [58]
K (constant of proportionality) =y divided by x in this case 12.75 divided by 25

5 0
3 years ago
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