Answer:
Adult= $11
Children = $7.5
Step-by-step explanation:
Let x represent adult ticket and y represent children ticket
2x + 3y= 44.50........equation 1
3x + 6y= 78........equation 2
From equation 1
2x + 3y= 44.50
2x= 44.50-3y
x= 44.50-3y/2
Substitute 44.50-3y/2 for x in equation 2
3x+ 6y= 78
3(44.50-3y/2) + 6y= 78
66.75- 4.5y +6y= 78
66.75 + 1.5y= 78
1.5y= 78-66.75
1.5y= 11.25
y= 11.25/1.5
y = 7.5
Substitute 7.5 for y in equation 1
2x + 3y = 44.50
2x + 3(7.5)= 44.50
2x + 22.5= 44.50
2x = 44.50-22.5
2x= 22
x= 22/2
x= 11
Hence the price of adult ticket is $11 and the price of children ticket is $7.5
The slope is negative as it slopes to the left
using the extremities of the line:-
-(10+10 / (10 + 10) = -1
slope is -1.
Answer:
Step-by-step explanation:
16in
Answer:
The correct answer is D. 0.77
Step-by-step explanation:
![=Pr[\frac{-1}{4}\leq \bar{X}_{48}\leq \frac{1}{4}]\\\\=Pr[\frac{-0.25}{0.2083}\leq Z\leq \frac{0.25}{0.2083}]\\\\=Pr[-1.2\leq Z\leq 1.2]\\=Pr(Z\leq 1.2)-Pr(Z\leq -1.2)\\=Pr(Z\leq 1.2)-(1-Pr(Z\leq 1.2))\\=2\times 0.8849 -1\text{ ( Z value for 1.2 is 0.8849 )}\\\approx 0.77](https://tex.z-dn.net/?f=%3DPr%5B%5Cfrac%7B-1%7D%7B4%7D%5Cleq%20%5Cbar%7BX%7D_%7B48%7D%5Cleq%20%5Cfrac%7B1%7D%7B4%7D%5D%5C%5C%5C%5C%3DPr%5B%5Cfrac%7B-0.25%7D%7B0.2083%7D%5Cleq%20Z%5Cleq%20%5Cfrac%7B0.25%7D%7B0.2083%7D%5D%5C%5C%5C%5C%3DPr%5B-1.2%5Cleq%20Z%5Cleq%201.2%5D%5C%5C%3DPr%28Z%5Cleq%201.2%29-Pr%28Z%5Cleq%20-1.2%29%5C%5C%3DPr%28Z%5Cleq%201.2%29-%281-Pr%28Z%5Cleq%201.2%29%29%5C%5C%3D2%5Ctimes%200.8849%20-1%5Ctext%7B%20%28%20Z%20value%20for%201.2%20is%200.8849%20%29%7D%5C%5C%5Capprox%200.77)
Hence, the correct answer is 0.77
