To solve this problem we use the z test. The formula for z
score is:
z = (x – u) / s
where,
x = sample value = 13 and below
u = mean value = 27
s = standard deviation = 14
z = (13 – 27) / 14 = -1
using the z table to get the standard normal probabilities,
the p value at z = -1 is:
P = 0.1587
<span>This means that 15.87% that the discharge is 13 mg/L and
below.</span>
Answer:
x = 10 and BD = 74
Step-by-step explanation:
AE and CE are equal, so we can set those 2 values equal to each other to find x.
3x + 7 = 37
3x = 30
x = 10
BD will be equal to AE + CE because that is a property of the rectangle.
So AE + CE = 37 + 37 = 74.
BD = 74
It's three to the power of four sevenths square inches.
Hope this will help you!
Answer:
The answer is that adult tickets cost $44.50 and child tickets cost $19.
Step-by-step explanation:
Let c = the cost of child tickets and a = the cost of adult tickets.
The total amount is equal to the number of adult tickets time the cost of adult tickets plus the number of child tickets times the cost of child tickets. Set up two equations:
2a + 4c = 165
4a + 3c = 235
Solve the top equation for a:
2a + 4c = 165
2a = 165 - 4c
a = 165/2 - 4c/2
a = 82.5 - 2c
Substitute into the second equation:
4a + 3c = 235
4(82.5 - 2c) + 3c = 235
330 - 8c + 3c = 235
-5c = -95
c = -95 / -5 = 19, so child ticket cost $19.
Solve for a:
a = 82.50 - 2c
a = 82.50 - 2(19)
a = 82.50 - 38
a = $44.50, so adult tickets cost $44.50.
Proof using the first equation for the Johnson family:
2a + 4c = 165
2(44.50) + 4(19) = 165
89 + 76 = 165
165 = 165
Proof using the second equation for the Robison family:
4a + 3c = 235
4(44.50) + 3(19) = 235
178 + 57 = 235
235 = 235
Answer:
the answer is four units for this p