Answer:
The other endpoint is (-33, 17)
Step-by-step explanation:
The rule of the mid-point of a segment whose endpoints are
(
,
) and (
,
) is
In our question
∵ The coordinates of the endpoints of a segment are (-15, 13) and (x, y)
∴
= -15 and
= x
∴
= 13 and
= y
∵ The coordinates of the mid-point of this segment are (-24, 15)
∴
= -24 and
= 15
→ Use the rule of the mid-point to find x and y
∵ 
→ Multiply both sides by 2
∴ -48 = -15 + x
→ Add 15 to both sides
∴ -33 = x
∵ 
→ Multiply both sides by 2
∴ 30 = 13 + y
→ Subtract 13 from both sides
∴ 17 = y
∴ The other endpoint is (-33, 17)
Answer:
90 degrees, 60 degrees and 30 degrees
Step-by-step explanation:
90/3 = 30
30 x 2 = 60
Answer:
a) 1.3652
b) 1.3906
Step-by-step explanation:
a) log5 9 = log5 3² = 2log5 3 = 2(0.6826) = 1.3652
b) log5 75/8 = log5 75 - log5 8 = log5 3×25 - log5 8=
log5 3 + log5 5² - log5 8 = 0.6826 + 2 - 1.2920 = 0.6826 + 0.708 = 1.3906
Answer:
The probability that a person will get 17 or more right, if the person is truly guessing, is about 12.9%.
The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.
Step-by-step explanation:
The system of hypothesis fo this case are:
Null hypothesis: 
Alternative hypothesis: 
That's a upper right tailed test.
The p-value is the probability of obtaining the observed results of a test, assuming that the null hypothesis is correct.
And this value allows to reject or not the null hypothesis.
If
we reject the null hypotheis at the significance level. That indicates strong evidence against the null hypothesis, so you reject the null hypothesis.
If
then we say that we fail to reject the null hypothesis at the significance level. That indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.
80 in word form
Eighty
Hope this helped!