Answer:
Y = 170, Z = 64.
Step-by-step explanation:
Since y is the external angle to x, which you got right, it is in fact, 180-10, = 170 degrees. And since z is the external to our unknown angle, that means it is equal to the sum of the other two angles in the triangle. That means z is 54 + 10, which is 64.
You are right about the domain.
Answer:
196
Step-by-step explanation:
Since the largest share was 56 and the largest ratio is 14, then
56 ÷ 14 = 4 ← value of 1 part of the share, thus
8 parts = 8 × 4 = 32
6 parts = 6 × 4 = 24
9 parts = 9 × 4 = 36
14 parts = 14 × 4 = 56
12 parts = 12 × 4 = 48
Total the amounts
total = 32 + 24 + 36 + 56 + 48 = 196
Answer:
A. T > 2.539
Step-by-step explanation:
We have a hypothesis test of the mean, with unknown population standard deviation.
The hypothesis are:

From the hypothesis we can see that the test is right-tailed, so the critical value of t should be a positive value.
The degrees of freedom can be calculated as:

The significance level is 0.01, so the critical value tc should be the one that satisfies:

Looking up in a t-table, for 19 degrees of freedom, this critical value is tc=2.539.
Answer:
19,419.09
Step-by-step explanation: