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3 years ago

Correct answer please!!!!

Mathematics

1 answer:

sdas [7]3 years ago

6 0

Answer:

First choice

Step-by-step explanation:

Angles A and D are vertical angles

Angles A and Z are alternate exterior angles

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In the library where you work, it usually takes you 2 hours to shelve 5 carts of books. At this rate, about how many minutes sho

Setler79 [48]

Answer: 24 min

Step-by-step explanation:

2 hrs / 5 carts = 120 min / 5 carts

120 / 5 = 24 min / 1 cart

5 0

3 years ago

Is y=−7x+16 exponential, state if it is growth or decay

Ivenika [448]

Answer:

It is a state of decay.

Step-by-step explanation:

Graph to figure out of it is growth or decay. If it is increasing than it is growth, if it is decreasing it is decay.

Graph:

0 16

1 9

2 2

5 0

4 years ago

Exercise 5.2. Suppose that X has moment generating function

soldi70 [24.7K]

Answer:

a) Mean, E(X) = - 0.5

Variance = = 9.25

b) $M_{X}(t)=E(e^{tX})$

⇒ $=\sum e^{tx}p(x)$

⇒ $=\frac{1}{2}+\frac{1}{3}e^{-4t}+\frac{1}{6}e^{5t}$

Step-by-step explanation:

Given:

moment generating function of X as:

MX(t) = $\frac{1}{2} + \frac{1}{3}e^{-4t} + \frac{1}{6} e^{5t}$

a) Now

Mean, E(X) = $M_{X}'(t=0)$

Thus,

$M_{X}'(t)=\frac{1}{3}(-4)e^{-4t}+\frac{1}{6}(5)e^{5t}$

$M_{X}'(t)=\frac{-4}{3}e^{-4t}+\frac{5}{6}e^{5t}$

also,

$E(X^{2})=M_{X}''(t=0)$

Thus,

$M_{X}''(t)=\frac{-4}{3}(-4)e^{-4t}+\frac{5}{6}(5)e^{5t}$

$M_{X}''(t)=\frac{16}{3}e^{-4t}+\frac{25}{6}e^{5t}$

Therefore,

Mean, E(X) = $M_{X}'(t=0)=\frac{-4}{3}e^{-4(0)}+\frac{5}{6}e^{5(0)}$

Mean, E(X) = - 0.5

and

$E(X^{2})=M_{X}''(t=0)=\frac{16}{3}e^{-4(0)}+\frac{25}{6}e^{5(0)}$

$E(X^{2})$ = 9.5

also,

Variance(X) = E(X²) - E(X)²

⇒ 9.5 - (-0.5)²

= 9.25

b) Now,

Let f(x) be the PMF of X

Thus,

$M_{X}(t)=E(e^{tX})$

⇒ $=\sum e^{tx}p(x)$

⇒ $=\frac{1}{2}+\frac{1}{3}e^{-4t}+\frac{1}{6}e^{5t}$

Therefore,

at x = 0, P(x) = $\frac{1}{2}$

at x= - 4 ,P(x) = $\frac{1}{3}$

at x = 5, P(x) = $\frac{1}{6}$

Thus,

E(X) = $\sum xP(x)=0(\frac{1}{2})+(-4)(\frac{1}{3})+5(\frac{1}{6})$

E(X) = - 0.5

also, $E(X^{2})=\sum x^{2}P(x)=0^{2}(\frac{1}{2})+(-4)^{2}(\frac{1}{3})+5^{2}(\frac{1}{6})$

$E(X^{2})$ = 9.5

Hence,

Var(X) = E(X²) - E(X)²

⇒ 9.5 - (-0.5)²

= 9.25

4 0

4 years ago

Mike has 15.68 pounds of aluminum cans to take to the recycling center. He wants to take at least 50 pounds. How many more pound

anyanavicka [17]

If Mike has 15.68 pounds of aluminum, and he wants to take at least 50 pounds of said item, then he would need to collect 34.32 more pounds of aluminum. (50 - 15.68 = 34.32)

7 0

3 years ago

Read 2 more answers

Antonio needs 8 feet of ribbon to complete a project. He can purchase a 180-inch (15-foot) packaged length for $3.99, or he can

zysi [14]

Answer:

Tricky question, but it would be a better deal if he wants extra ribbon, then he could but the 180 inch and get more for only $3.99. But if he wants to have the exact 8 feet ribbon, it would only be $3.12.

Step-by-step explanation:

3 0

3 years ago