Answer:
21
Step-by-step explanation:
x+42=3x
-x -x
42=2x
÷2 ÷2
x=21
Answer:
10
Step-by-step explanation:
first, subtract 350 and 150 to get 200. then divide 200 by 20 to get the maximum amount of people, which leads to 10 people. hope this helps
Answer:
Friday: 300 dollars
Step-by-step explanation:
Let Omar's pay on Friday = x
Friday: x
Saturday: 1/4 x was spent.
Sunday: 2/3 *(x - (1/4)x ) = 2/3 * (3/4x) = (2*3/(3*4)x = (6/12)x = 1/2x
Dinner: 15 dollars
Remainder = 20% x = 20/100 x = 0.2x
x - (1/4x + 1/2(x) + 15) = 0.2x Combine like terms on the left
x - (3/4x + 15) = 0.2x Remove the brackets
x - (3/4)x - 15 = 0.2x Combine like terms on the left
(1/4)x - 15 = 0.2x Change 1/4 to a decimal
0.25x - 15 = 0.2x Subtract 0.25x from both sides
0.25x - 0.25x - 15 = 0.2x - 0.25x Combine
- 15 = - 0.05x Divide by - 0.05
-15 /-0.05 = - 0.05 x/ 0.05
300 = x
Answer:
The z-statistic lies in the critical region
Step-by-step explanation:
When a hypothesis test is performed, the decision to reject or not reject the null hypothesis is made on basis of following observations:
- If the z-statistic falls in the critical or rejection region, there is enough evidence to reject the Null Hypothesis
- If the z-statistic falls outside the critical or rejection region, there is not enough evidence to reject the Null Hypothesis.
In the given statement Zachary rejects the Null Hypothesis, this means the z-statistic she calculated must have been inside the critical or rejection region. Hence the correct answer would be:
The z-statistic lies in the critical region
