The answer to this question is A
<u>Answer</u>
12
<u>Explanation</u>
Cosine is the ratio of adjacent to hypotenuse.
So, in this case b is the adjacent and 13 is the hypotenuse.
cos22.6 = b/13
b = 13×cos22.6
= 13×0.923879532
=12.010
To the nearest whole number the answer is 12.
x = hot dogs
y = snacks
x +y = 175
x = 175-y
2.50x + 0.75y = 262.50
2.50(175-y) +0.75y = 262.50
437.50-2.50y + 0.75y = 262.50
-1.75y = -175
y = -175 / -1.75 = 100
100 snacks & 75 hot dogs
Answer:
We conclude that commute time in her city is less than the amount reported by the survey which is 25.4 minutes.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 25.4 minutes
Sample mean,
= 22.1 minutes
Sample size, n = 15
Alpha, α = 0.10
Sample standard deviation, s = 5.3 minutes
First, we design the null and the alternate hypothesis
We use one-tailed t(left) test to perform this hypothesis.
Formula:
Putting all the values, we have

Now,
Since,
We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.
Thus, there is enough evidence to conclude that commute time in her city is less than the amount reported by the survey which is 25.4 minutes.
Answer:
D
Step-by-step explanation:
x starts at 0, and goes on to infinity (∞)