Answer:
0.9985
Step-by-step explanation:
The population standard deviation is:
s² = 64
s = 8
The sample standard deviation is:
σ = s/√n
σ = 8/√39
σ = 1.28
The z-score is:
z = (x − μ) / σ
z = (128.2 − 132) / 1.28
z = -2.97
The probability is:
P(Z > -2.97) = 1 − P(Z < -2.97)
P(Z > -2.97) = 1 − 0.0015
P(Z > -2.97) = 0.9985
Answer:Corey was travelling at 9 miles per hour and Tom was travelling at 13 miles per hour.
Step-by-step explanation:
Let x represent Corey's speed.
If Tom travels 4 mph faster than Corey, it means that Tom's speed would be (x + 4) mph
Corey is 176 miles from Tom and they are traveling towards each other. If they meet after 8 hours, it means that they travelled a total distance of 176 miles in 8 hours.
Distance = speed × time
Distance travelled by Corey in 8 hours would be
8 × x = 8x miles
Distance travelled by Tom in 8 hours would be
8(x + 4) = (8x + 32) miles
Since the total distance travelled by Tom and Corey is 176 miles, then
8x + 8x + 32 = 176
16x = 176 - 32 = 144
x = 144/16 = 9 miles per hour
Tom's speed would be
9 + 4 = 13 miles per hour
Step 1
Assign a letter to the cost of each product
Cost of hamburger = x
Cost of hotdog = y
Step 2
Write a formula identifying how much of each product you are purchasing, and the final cost.
2x + 3y = 19.05
Step 3
Substitute the cost of a hamburger into X
2 × (5.25) + 3y = 19. 05
Step 4
Rearrange for y (cost of hotdog)
10.5 + 3y = 19. 05
3y = 19.05 - 10.5
3y = 8.55
y = 8.55 / 3
y = 2.85
So the cost for 1 hotdog is $2.85
I hope this helped, If you have any questions, feel free to ask
Answer:
- 270 tickets were sold
- not needed: books per player, tickets per book
Step-by-step explanation:
To find the number of tickets sold, the total revenue needs to be divided by the revenue per ticket:
(total revenue)/(revenue/ticket) = total tickets
$810/$3 = 270 . . . total tickets
__
None of the other numbers in the problem are needed: books per player (1), tickets per book (10).