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3 years ago

Find the measure of angle x. Please helpp

Mathematics

1 answer:

SIZIF [17.4K]3 years ago

3 0

You need to time them sorry I don’t have my calculator with me

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Suppose that X has a Poisson distribution with a mean of 64. Approximate the following probabilities. Round the answers to 4 dec

o-na [289]

Answer:

(a) The probability of the event (X > 84) is 0.007.

(b) The probability of the event (X < 64) is 0.483.

Step-by-step explanation:

The random variable X follows a Poisson distribution with parameter λ = 64.

The probability mass function of a Poisson distribution is:

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

(a)

Compute the probability of the event (X > 84) as follows:

P (X > 84) = 1 - P (X ≤ 84)

$=1-\sum _{x=0}^{x=84}\frac{e^{-64}(64)^{x}}{x!}\\=1-[e^{-64}\sum _{x=0}^{x=84}\frac{(64)^{x}}{x!}]\\=1-[e^{-64}[\frac{(64)^{0}}{0!}+\frac{(64)^{1}}{1!}+\frac{(64)^{2}}{2!}+...+\frac{(64)^{84}}{84!}]]\\=1-0.99308\\=0.00692\\\approx0.007$

Thus, the probability of the event (X > 84) is 0.007.

(b)

Compute the probability of the event (X < 64) as follows:

P (X < 64) = P (X = 0) + P (X = 1) + P (X = 2) + ... + P (X = 63)

$=\sum _{x=0}^{x=63}\frac{e^{-64}(64)^{x}}{x!}\\=e^{-64}\sum _{x=0}^{x=63}\frac{(64)^{x}}{x!}\\=e^{-64}[\frac{(64)^{0}}{0!}+\frac{(64)^{1}}{1!}+\frac{(64)^{2}}{2!}+...+\frac{(64)^{63}}{63!}]\\=0.48338\\\approx0.483$

Thus, the probability of the event (X < 64) is 0.483.

5 0

3 years ago

Your math test scores are 76, 85, 92, and 63. What is the lowest score you can earn on the next test and still achieve an averag

sattari [20]

Hey there! I'm happy to help!

We have 5 test scores that give us an average of at least 75.

76, 85, 92, 63, x

We add these all up and divide by 5 to get 75.

Let's go backwards to find x.

We multiply by 5.

75(5)=375

We subtract all of the numbers except for x.

375-76-85-92-63=59

So, you need to earn at least 59 on the next test to achieve an average of at least 75.

Have a wonderful day! :D

4 0

3 years ago

HELP. WILL MARK BRAINLIEST

gladu [14]

4y+5=4y-6 doesn't have a solution because you need to subtract 4y from both sides so you do 4y+5-4y=4y-6-4y so 5= -6 and then you subtract 5 from both sides which is 5-5=-6-5 and 0=-11.

8 0

4 years ago

Read 2 more answers

Simplify the following expression. Log(9x^5)+5log(1/x)

Gre4nikov [31]

log(9) simplified....

5 0

3 years ago

Justin completes 8 extra credit problems on the first day and then 4 problems each day until the worksheet is complete. There ar

Serhud [2]

Answer:

28-8-4x=0

x=5

5 days

Step-by-step explanation:

28-8=20 problems left

then 4 each day

3 0

3 years ago