We can let r be the number of food tickets and f be the number of food tickets.
Since Alana can spend at most $40, that means the total of price bought for r and f must be less than or equal to $40. In addition, since Alana buys at least 16 tickets, this also means that the total of r and f is 16. Mathematically, we have these inequalities:
(1) 4r + 2f ≤ 40 and
(2) r + f ≥ 16
Multiplying -2 in (2), we have
4r + 2f ≤ 40
-2r - 2f ≤ 32
Adding both inequalities,
2r ≤ 8
r ≤ 4
Since r must be less than or equal to 4.Thus the answer is <span>A.</span>
Answer: d
Step-by-step explanation:
This is the concept of scale factor. The linear scale factor is given by:
(height of sculpture)/(height of clothespin)
=20/(5/12)
=48
Given that a woman is 5ft 7 in, the sculpture of this woman would be:
height of sculpture=(scale factor)*(height of the woman)
height of the woman=5 ft 7 inches=5 7/12 ft=67/12 ft
hence the height of the sculpture will be:
67/12×48
=268 ft
Answer: 268 ft
Answer:
The test statistic value is 15.3.
Step-by-step explanation:
The hypothesis for this test is:
<em>H</em>₀: The average number of homeless people is not increasing, i.e. <em>μ</em> = 42.3.
<em>H</em>ₐ: The average number of homeless people is increasing, i.e. <em>μ</em> > 42.3.
Given:
As the population standard deviation is provided use a single mean <em>z</em>-test for the hypothesis testing.
The test statistic is:
Thus, the test statistic value is 15.3.
