Answer:
There are 96 large tents and 60 small tents
Step-by-step explanation:
Here, we want to calculate the number of tents of each sizes there
Let the number of 6-boys tent be s and the number of 4-boys tent be f
6s + 4f = 816 ••••••(i)
Ratio of large to small ( ratio of s to f)
8:5 = s/f
8/5 = s/f
8f = 5s
f = 5s/8 ••••(ii)
Substitute ii into i
6s + 4(5s/8) = 816
6s + 5s/2 = 816
Multiply through by 2
12s + 5s = 1,632
17s = 1632
s = 1632/17
s = 96
f = 5s/8
f = (5 * 96)/8 = 60
Answer: Choice A
m = undefined
point (-2,5)
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Explanation:
The equation x = -2 describes a vertical line in which every point on this line has x coordinate -2. Two points on this line are (-2,0) and (-2,1)
Another point on this line is (-2,5) since this also has x coordinate -2.
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All vertical lines have undefined slope.
Let's pick two points such as (-2,0) and (-2,1) and find the slope through them
m = (y2-y1)/(x2-x1)
m = (1-0)/(-2-(-2))
m = (1-0)/(-2+2)
m = 1/0
m = undefined, since we cannot divide by zero.
Answer:
A: H0: p = 0.27; Ha: p > 0.27
Step-by-step explanation:
The parameter is the population proportion.
According to the survey conducted by the American Academy of Periodontology, the proportion of of US adults who admit they lie to their dentist about how often they floss their teeth is 27%.
This means the null hypothesis is :
Periodontist Dr. Garcia believes that the percentage seems low, so his claim is that the percentage should be more than 27%.
This means, the alternate hypothesis is
Therefore the correct choice is A.
"y>-2x+2 and y>-2x+5" are illustrated graphically by 2 straight dashed lines with slope -2. The lines are parallel because their slopes (-2) are the same. One line has y intercept 2 and the other has y intercept 5. The latter is above the former. Since both inequality signs are " > " we must shade the area ABOVE each of the 2 lines. The solution set is the area of the graph that has been shaded twice, once for y>-2x+2 and again for y>-2x+5. It's y>-2x+5 that has been shaded twice; this area is immediately above the line y>-2x+5.
Answer:
30
Step-by-step explanation:
21 + 9 = 30
