Answer:
(31.919,42.881)
Step-by-step explanation:
Answer:
7000
Step-by-step explanation:
C - Associative then Distributive
Associative allows the combining of like terms (Both with variable z)
Distributive allows the 5 to distribute through
5(11z+6z+29)
5(17z+29)
5(17z)+5(29)
85z+145
Answer:
Surface area = 10.7 in.²
Step-by-step explanation:
Surface Area of triangular pyramid = BA + P*L
Base Area (BA) = ½*nh
b = 2 in.
h = 1.7 in.
BA = ½*2*1.7 = 1.7 in.²
Perimeter (P) = 2 + 2 + 2 = 6 in.
Slant height (L) = 3 in.
Plug in the values
Surface Area = 1.7 + ½*6*3
Surface area = 10.7 in.²
Answer:
Assuming ages are normally distributed, the 98% confidence interval for the population average age is [26.3, 35.7].
Step-by-step explanation:
We have to construct a 98% confidence interval for the mean.
The information we have is:
- Sample mean: 31
- Variance: 49
- Sample size: 15
- The age is normally distributed.
We know that the degrees of freedom are

Then, the t-value for a 98% CI is t=2.625 (according to the t-table).
The standard deviation can be estimated from the variance as:

The margin of error is:

Then, the CI can be constructed as:
