Answer: (22.41, 25.59)
Step-by-step explanation:
The t-critical value with 17 degrees of freedom for a 95% confidence interval is : 2.11
Sample mean = 24
Standard deviation = 3.2
Standard error of mean = s / √ n
Standard error of mean = 3.2 / √ 18
SE = 3.2/4.2426
Standard error of mean 0.7542
Confidence interval 24-(0.7542)(2.11) = 22.41 and
24+(0.7542)(2.11) =25.59
Answers:
- JK = 29
- LM = 29
- KL = 10
- MJ = 10
- JK = LM and KL = MJ
========================================================
Explanation:
Let's plug in the given x value
- JK = 5x+9 = 5*4+9 = 20+9 = 29
- LM = 6x+5 = 6*4+5 = 24+5 = 29
Both JK and LM are equal to 29, so this means JK = ML
Now use the y value
- KL = 2y-6 = 2*8-6 = 16-6 = 10
- MJ = y+2 = 8+2 = 10
Both JM and KL are equal to 10, so JM = KL
These facts are sufficient to prove we have a parallelogram.
Answer: 12 x 8
Step-by-step explanation: The other three are not the basic multiplication facts from 0 - 12.
I don't know about the first one but the second one you just subtract 5 from both sides of the equation:
3y = 14
Then you see, what times 3 equals 14...