Answer:

Step-by-step explanation:
To find the midpoint, simply use the Midpoint Formula.
The Midpoint Formula states that for two points
and
, the midpoint will be:
.
So, here,
= (-2, -1) and
= (-2, 4). The midpoint is then: 
Thus, the answer is
.
Hope this helps!
Answer:
The expression will be (\frac{n}{2} - 6) + 10(
2
n
−6)+10 and its value is 8.
Step-by-step explanation:
We are asked to write the expression and the value of “six less than the quotient of a number and two, increased by ten”.
If the number is n, then the expression will be (\frac{n}{2} - 6) + 10(
2
n
−6)+10 .
Now, if the value of n is 8 then the value of the expression will be (\frac{8}{2} - 6) + 10 = 4 - 6 + 10 = 8(
2
8
−6)+10=4−6+10=8 (Answer)
Depending on the length of the two sides of the triangle the length could be smaller than 1.
The answer that is not true is :
B. It is always greater than 1
Answer: (A) H0: μ = 140 mg vs. H1: μ ≠ 140 mg
Step-by-step explanation:
Usually null hypothesis represents the claim that the values associated to the groups being tested have no statistical difference but alternative hypothesis supports the claim that there is statistical difference.
Let
be the population mean .
We are given that the mean potassium content of a popular sports drink is listed as 140 mg in a 32-oz bottle.
i.e. Null hypothesis :
Alternative hypothesis for two tail hypothesis has sign (≠).
i.e. Alternative hypothesis : 
∴ The hypotheses for a two-tailed test of the claimed potassium content:
H0: μ = 140 mg vs. H1: μ ≠ 140 mg
Answer:
Step-by-step explanation:
The sample proportion 

The null hypothesis and the alternative hypothesis:

Thus; the test statistics is:





P-value = 2 × P(Z< - 1.768)
From the z tables
P-value = 2 × 0.03853
P-value = 0.07706
Thus, the p-value is 0.05 < P-value < 0.10