Answer:
A: x = 20
C: x = -9
Step-by-step explanation:
You can solve the inequality and compare that with the offered choices, or you can try the choices in the inequality to see if it is true. Either approach works, and they take about the same effort.
<u>Solving it</u>:
Unfold it ...
-17 ≤ x -7.5 ≤ 17
Add 7.5 ...
-9.5 ≤ x ≤ 24.5
The numbers 20 and -9 are in this range: answer choices A and C.
_____
<u>Trying the choices</u>:
A: |20 -7.5| = 12.5 ≤ 17 . . . . this works
B: |-10 -7.5| = 17.5 . . . doesn't work
C: |-9 -7.5| = 16.5 ≤ 17 . . . . .this works
D: |27-7.5| = 19.5 . . . doesn't work
The choices that work are answer choices A and C.
Answer:
a) Yes b) No
Step-by-step explanation:
Given that the p value for a two-sided test of the null hypothesis H0: μ = 10
is 0.06
a) 
Hence we accept null hypothesis
This implies that 10 will be within the confidence interval of 95%
b) If confidence level = 90%

So we have to reject null hypothesis.
So we do not have 10 in the confidence interval
The reason is the lower the confidence level, the narrower the confidence interval. In this case, 10 has gone outside the narrower interval hence we get this.
What you would do is combine the terms with variables, and combine the terms without.
Answers:
2. -2w-22
3. 15z
4. 7-16s
5. 17w
6. 4-6r
7. 21-8b
8. 8q
9. -18q-9
10. 12q-3
I hope I got all of these right if not that’s embarrassing haha I did all of them in my head I’m pretty sure they’re right
I hope I helped
48 degrees remains
divide minutes by 60
36/60 = 0.6
then divide seconds by 3600
12/3600=0.003 ( to nearest thousandth)
now add them all up
48 +0.6 + 0.003 = 48.603 degrees
Answer:
C) 3x - 6
Step-by-step explanation:
Let the unknown number be represented by placeholder x.
Then the product of 3 and the number is represented by 3*x or 3x.
This value diminished by 6 corresponds to 3x-6.
So the expression representing the required overall construct mathematically is given by 3x-6
Option a, 6x-3 represents the difference of 6 times x and 3.
Option b, 3-6x represents the difference of 3 and (6 times x).
Option d, 6-3x represents the difference of 6 and (3 times x).