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tatuchka [14]
2 years ago
10

Can someone answer this for me?

Mathematics
1 answer:
Ksju [112]2 years ago
8 0

Answer:

whats the question?

Step-by-step explanation:

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For a population with µ = 80 and σ = 20, the Sampling distribution of the Mean, based on n = 16 will have an expected value of t
allsm [11]

Answer:

Will have an expected value of the mean = 80 and a standard error of the mean = 5

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 80, \sigma = 20

n = 16

So the mean is 80 and the standard deviation is s = \frac{20}{\sqrt{16}} = 5

Will have an expected value of the mean = 80 and a standard error of the mean = 5

6 0
3 years ago
How do you write a Function for 7 less than 3 times m is n?
xenn [34]

its like 7 - 3 x m + n

3 0
3 years ago
In the manufacturing of a chemical adhesive, 9% of all batches have raw materials from two different lots. This occurs when hold
natali 33 [55]

Answer:

Step-by-step explanation:

Hello!

In a chemical adhesive manufacturing company you can encounter the following situations:

The adhesive is made in batches.

9% of all batches have raw materials from two different lots.

5% of all batches with material from a single lot require reprocessing.

40% of all batches with the material of two or more lots require additional processing.

You have two events:

A: A batch is formed with two different lots.

B: The lot requires additional processing.

And you can define their complements:

A': A batch is formed with one lot.

B': The lot does not require additional processing.

a. This probability is given in the text "9% of all batches have raw materials from two different lots. ", symbolically:

P(A)= 0.09

b. If the probability of a batch containing two lots is 9%, then it's complimentary event has a probability equal to:

P(A')= 1 - 0.09= 0.91

c. P(B/A) It is a conditional probability and you can interpret it as "the lot requires additional processing given that the batch is formed with two lots"

This information is also given:

P(B/A)= 0.40

d. P(B/A') Is the probability of the lot requiring additional processing given that the batch is formed with one lot.

P(B/A')= 0.05

e. Now you have to calculate the probability that "the batch is made with two lots" and "the lot requires additional processing"

A and B aren't independent events, which means that the occurrence of one of them modifies the probability of occurrence of the other one in two replications of the experiment.

P(A ∩ B)= P(A) * P(B/A)

P(A ∩ B)= 0.09 * 0.40= 0.036

f. You have to calculate the probability of "batch is formed with two different lots" and "the lot does not require additional processing", these two events aren't independent.

You cannot calculate the probability of this intersection the same way you did in item e. because we have no information about the probability of P(B'/A). But the P(A) is equal to the summation of P(A ∩ B) and P(A ∩ B'), so:

P(A ∩ B')= P(A) - P(A ∩ B)= 0.09 - 0.036= 0.054

g. To calculate the probability of the event "The lot requires additional processing." you have to add P(A ∩ B)+P(A' ∩ B)

First calculate P(A' ∩ B) = P(A')* P(B/A')= 0.91*0.05= 0.0455

P(B)= P(A ∩ B) + P(A' ∩ B)= 0.036 + 0.0455= 0.0815

I hope you have a SUPER day!

8 0
2 years ago
If 0 ≤ Ø < 90 degrees, and tan Ø= 2/3, what is sinØ + cosØ?
Alika [10]

Answer:

1.38

Step-by-step explanation:

tan Ø = 2/3

Ø = tan⁻¹(2/3)

Ø = 33.69

sin 33.69 ≈ 0.55

cos 33.69 ≈ 0.83

sin Ø + cos Ø ≈ 1.38

4 0
3 years ago
What is the value of y in the equation 6.4x + 2.8y = 44.4, when x = 3?
luda_lava [24]
I think the value of y would be 9
because if you put 3 in place of x the equation would be
6.4(3)+2.8y then you would simplify it to 19.2+2.8y
19.2-44.4=25.5
25.2/2.8=9 which is the value of y

answer=9
7 0
3 years ago
Read 2 more answers
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