Answer:
Answer is 6.5 dollars.
Step-by-step explanation:
Cost of movie tickets and snacks in total = 43.50
Cost of tickets = $24
Cost of Snacks = 43.50-24 =19.5$
number of snacks = 3
Cost of one snack = 19.5 ÷ 3 = 6.5$
Answer:
0.918 is the probability that the sample average sediment density is at most 3.00
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 2.80
Standard Deviation, σ = 0.85
Sample size,n = 35
We are given that the distribution of sediment density is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling:
P(sample average sediment density is at most 3.00)
Calculation the value from standard normal z table, we have,
0.918 is the probability that the sample average sediment density is at most 3.00
Theres a line with origin at (0,0) and ends in (3,-2)
because its known y and x apply
tan ∆= y/x
tan∆ = -2/3 = -0.6666
then ∆ = -33.68 degrees
Angle = 360° - 33.68 = 326.32 degrees
then tan 326.32= -.6666
cotan x = 1/ tanx= -1.5
sin 326.32 = -.554
Cosecx 1/sinx = -1.8050
cos 326.32= 0.8321
secx = 1/cosx= 1.2017
<span>Answer:</span><span>
<span>B) The maximum height is 11.3 ft and it reaches this height at 0.72
seconds.
</span>Explanation:
Part (a) : getting the
time taken to reach maximum height:
The given equation is:
h = -16t² + V0*t + h0
We are given that:
Initial velocity (V0) =23 ft/sec
Initial height (h0) = 3 ft
The equation now becomes:
h = -16t² + 23t + 3
For maximum height:
dh / dt = zero
This means that:
-16(2) t + 23 = 0
-32t + 23 = 0
32t = 23
t = 0.71875 sec which is approximately 0.72 seconds
Part (b): getting the
maximum height:
The equation given to get the height is:
h = -16t² + V0*t + h0
We are given that:
Initial velocity (V0) =23 ft/sec
Initial height (h0) = 3 ft
We have calculated that:
time taken to reach maximum height = 0.72 sec
Substitute with the givens in the equation to get the maximum
height as follows:
h = -16t² + V0*t + h0
h = -16(0.72)² + 23(0.72) + 3
h = 11.2656 ft which is approximately 11.3 ft
Hope this helps :)</span>
Answer: Infinite solutions.
x could be equal to anything, and you can't solve for x since there is no equation on the other side of an equal sign for you to solve it. Hope that helps.