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Irina-Kira [14]
3 years ago
15

X is a random independent variable with mean 20 and standard deviation of 5. Also suppose that y is a random independent variabl

e with mean of 40 and standard deviation 10. Find the variance and standard deviation of the random variable Z = 2 + 10x
Mathematics
1 answer:
klio [65]3 years ago
4 0
The variable equals 4.
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-1/286 what is the quotient form
n200080 [17]

-1÷286 is -1/286 in quotient form

8 0
3 years ago
For the cost function, find the marginal cost at the given production level x. State the units of measurement. (All costs are in
baherus [9]

Answer:

The marginal cost at the given production level is $49.9.

Step-by-step explanation:

The marginal cost function is expressed as the first derivative of the total cost function with respect to quantity (x).

We have that the cost function is given by

C(x) = 15000 + 50x + \frac{1000}{x}

So, we need the derivative and then we’ll need to compute the value x = 100 of the derivative.

C'(x)=\frac{d}{dx}\left(15000+50x+\frac{1000}{x}\right)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\C'(x)=\frac{d}{dx}\left(15000\right)+\frac{d}{dx}\left(50x\right)+\frac{d}{dx}\left(\frac{1000}{x}\right)\\\\C'(x)=0+50-\frac{1000}{x^2}\\\\C'(x)=50-\frac{1000}{x^2}

When x = 100, the marginal cost is

C'(100)=-\frac{1000}{100^2}+50\\\\C'(100)=\frac{499}{10}=49.9

6 0
3 years ago
Given: △ABC is equilateral, △ADC is isosceles,
KonstantinChe [14]

Answer:


Step-by-step explanation:

Since ABC is an equilateral triangle, thus AB=BC=AC=x, therefore

The perimeter of ΔABC=36

⇒AB+BC+AC=36

⇒x+x+x=36

⇒3x=36

⇒x=12

Thus, AB=BC=AC=12.

Now, Since ΔADC is isosceles triangle, therefore AD=DC=y.

Perimeter of ΔADC=40

⇒AD+DC+CA=40

⇒x+y+y=40

⇒12+2y=40

⇒2y=28

⇒y=14

Therefore, AD=DC=14

Thus, Length of sides of ΔABC are AB=BC=AC=12 and Length of sides of ΔADC are AD=DC=14.

7 0
3 years ago
How many hours would someone who earns $7.50 per hour have to work to earn $116.25?
Goshia [24]
Here is your answer:

Need to divide the amount he wants to the amount he gets every hour:

116.25÷7.50=15.5 hours

Which mean he has to work 15 and a half hours

Your answer is...
15.5 or if rounded 16 hours! Hope this Helps!
5 0
3 years ago
Read 2 more answers
Need geometry help please
Tatiana [17]

Answer:

I think C

Step-by-step explanation:

8 0
3 years ago
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