Answer:
487=3x-17
487+17=3x-17+17
3x=53
3x/3=53/3
x=168
Step-by-step explanation:
Step-by-step explanation:
sum of the arithmetic sequence
a1 = 8
a2 = a1 + 8 = 8+8 = 16
...
an = 8×n
the sum of the first n elements of such a series is
n/2 × (2×a1 + (n - 1)×d]
with d being the difference between 2 consecutive elements (= the added constant).
so,
s30 = 30/2 × (2×8 + 29×8) = 15×(31×8) = 3720
Step-by-step explanation:
8y+17°=6x+7° (vertical opposite angle)
6x+7=3x-29. (interior angle on same side)
3x=-36
x=-12°
B=C
-72+7=-36-29
-65=-65
<h2>
Answer with explanation:</h2><h2 />
The confidence interval for population mean is given by :-

Given : Sample size : n= 5, since n<30 , so the test we use here is t-test.
Sample mean : 
Standard deviation: 
Significance level : 
By using the standard normal distribution table , the critical value corresponds to the given significance level will be :-

Now, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas will be :-

Hence, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas = (0.068, 3.732)
Answer:
Only one parallelogram can be drawn based on the given conditions.
Step-by-step explanation: just believe me