Answer:
(5 ⋅ X) + (5 ⋅ 8) =
Step-by-step explanation:
Answer:
-8(3x-2y)
Step-by-step explanation:
Factor out each number because 8 times 3 equals 24
And -2 times -8 is 16
Answer:
The correct order is:
a
c
d
b
Step-by-step explanation:
First, let's write 1/x in a convenient way for us:
a) Substitute 1/x = p/q, to obtain x = 1/(1/x) = 1/(p/q) = q/p.
Now we assume that 1/x is rational (we want to prove that this implies that x will be also rational and because we know that x is irrational assuming that 1/x is rational will lead to an incongruence), then:
c. If 1/x is rational, then 1/x = p/q for some integers p and q with q ≠ 0. Observe that p is not 0 either, because 1/x is not 0.
Now we know that we can write x as a quotient of two integers, we need to imply that, then the next one is:
d) Observe that x is the quotient of two integers with the denominator nonzero.
And that is the definition of rational, then we end with:
b) Hence x is rational.
Which is what we wanted to get.
Considering the Central Limit Theorem, we have that:
a) The probability cannot be calculated, as the underlying distribution is not normal and the sample size is less than 30.
b) The probability can be calculated, as the sample size is greater than 30.
<h3>What does the Central Limit Theorem state?</h3>
It states that the sampling distribution of sample means of size n is approximately normal has standard deviation
, as long as the underlying distribution is normal or the sample size is greater than 30.
In this problem, the underlying distribution is skewed right, that is, not normal, hence:
- For item a, the probability cannot be calculated, as the underlying distribution is not normal and the sample size is less than 30.
- For item b, the probability can be calculated, as the sample size is greater than 30.
More can be learned about the Central Limit Theorem at brainly.com/question/16695444
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Answer:

In order to establishing the success of the method we need to obtain a p value very low in order to reject the null hypothesis because we need enough evidence in favor of the alternative hypothesis, so then the best option would be:
f. 0.001
Step-by-step explanation:
We need to conduct a hypothesis in order to test the claim that one of several methods claimed to increase the likelihood of a baby girl so then the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statisitc, and the is given by:
(1)
The p value for this case is given by:

In order to establishing the success of the method we need to obtain a p value very low in order to reject the null hypothesis because we need enough evidence in favor of the alternative hypothesis, so then the best option would be:
f. 0.001