Answer:
$352
Step-by-step explanation:
One ticket costs $22, so 16 tickets would be 22 times 16.
Final Answer: $352
Answer:
$2063.44
Step-by-step explanation:
1st week = $439.50
2nd and 3rd week = 62 hours and each hour = $22.79
Total amount earned in 2nd and 3rd week = 62 * 22.79 = $1412.98
4th week = 48% of what she earned in her first week = 48% of $439.50
4th week = (48 / 100) * 439.50 = $210.96
Total amount she earned = 1st week + 2nd & 3rd week + 4th week
Total amount = $439.50 + $1412.98 + $210.96
Total amount = $2063.44
She earned a total of $2063.44
Answer:
We accept H₀
Step-by-step explanation:
Normal Distribution
size sample n = 69
sample mean 18.94
standard deviation 8.3
Is a one tailed-test to the left we are traying of find out is we have enough evidence to say that the mean is less than 20 min.
1.-Test hypothesis H₀ ⇒ μ₀ = 20
Alternative hypothesis Hₐ ⇒ μ₀ < 20
2.- Critical value
for α = 0.1 we find from z Table
z(c) = - 1.28
3.-We compute z(s)
z(s) = [ ( μ - μ₀ ) / (σ/√n) ⇒ z(s) = [( 18.94 - 20 )*√69)/8.3]
z(s) = ( -1.06)*8.31/8.3
z(s) = - 1.061
4.- We compare
z(c) and z(s) -1.28 > -1.061
Then z(c) > z(s)
z(s) in inside acceptance region so we accept H₀
The velocity v and maximum height h of the water being pumped into the air are related by the equation
v= 
where g = 32
(a) To find the equation that will give the maximum height of the water , solve the equation for h
v=
Take square root on both sides
= 2gh
Divide by 2g on both sides
= h
So maximum height of the water h =
(b) Maximum height h= 80
velocity v= 75 ft/sec
Given g = 32
h =
h = 
h= 87.89 ft
The pump withe the velocity of 75 ft/sec reaches the maximum height of 87.89 feet. 87.86 is greater than the maximum height 80 feet.
So the pump will meet the fire department needs.
Answer:
# red marbles = 25
# blue marbles = 7
Step-by-step explanation:
r + b = 32
r = 4 + 3b
substitute '4 + 3b' for 'r' in the 1st equation
4 + 3b + b = 32
4 + 4b = 32
4b = 28
b = 7
red = 32 - 7
r = 25
