Suppose that X is a random variable with probability function x 0 1 2 3 4 5 P(x) 0.00032 0.0064 0.0512 0.2048 0.4096 0.32768 and that the random variable Y = 9X2 − 36X + 4. (a) What is the range of Y ? (b) Calculate P{Y = 4}. (c) Calculate P{Y = 0}.

Answers

Answer 1

Answer:

(a) For each value of X we have:

$X=0\quad\Rightarrow\quad Y=4\n\nX=1\quad\Rightarrow\quad Y=-23\n\nX=2\quad\Rightarrow\quad Y=-32\n\nX=3\quad\Rightarrow\quad Y=-23\n\nX=4\quad\Rightarrow\quad Y=4\n\nX=5\quad\Rightarrow\quad Y=49$

so the range of Y = {-32, -23, 4, 49}

(b)

$P\{Y=4\}=P\{X=0\}+P\{X=4\}=0.00032+0.4096=\boxed{0.40992}$

(c)

Y cannot equal 0, so

$P\{Y=0\}=0$

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What is 7/8- 5/8?
Answer

Answers

Answer:

1/4

Step-by-step explanation:

Since the denominatior is the same, we can look at only the numerator. So 7/8 - 5/8 is basically 7 - 5 which is 2.

The denominator doesn't change so it's 2/8. We can further simplify this into 1/4.

It will be 1/4! Because you need to reduce it

On his last 5 math tests, Gilbert earned: 94, 72, 83, 94, 90. What was his average score? ( Report your answer to the tenths place).

Answers

Answer:

Average of Gilbert in last 5 test = 86.6

Step-by-step explanation:

Given:

Score earned by Gilbert in last 5 test = 94, 72, 83, 94, 90

Find:

Average of Gilbert in last 5 test

Computation:

Average value = Sum of all events / Total number of events

Average of Gilbert in last 5 test = Sum of all last results / Number of results

Average of Gilbert in last 5 test = [94 + 72 + 83 + 94 + 90] / 5

Average of Gilbert in last 5 test = [433] / 5

Average of Gilbert in last 5 test = 86.6

Mikey bikes 12 miles in 2 hours. How many miles does Mikey bike in an hour?

Answers

The answer is 6 hours

Answer:

6 miles

Step-by-step explanation:

2 hours can be made into 1 hour by dividing by 2. In order to keep the ratio, you also have to divide the miles by 2, giving you 6.

2:12

1:6

(-x^3-x) +(6x^2+6x-7)=(−x
3
−x)+(6x
2
+6x−7)=

Answers

Answer:

$-x^3 + 6x^2 + 5x - 7$

Step-by-step explanation:

$(-x^3-x) +(6x^2+6x-7)$ (Simplify by adding the like terms)

= $-x^3 + 6x^2 +6x - x - 7$ (Simplify)

= $-x^3 + 6x^2 + 5x - 7$

Answer: -x+6x+x-7

The x is to the 3rd power and the 6 is to the second power. Hope this helps XD

Step-by-step explanation:

HELP I WILL GIVE BRAINLEYEST Yesterday, between noon and midnight, the temperature decreased by 26.7°F. If the temperature was -14.4°F at midnight, what was it at noon?