Answer:
The value of x = 100 ft^3/ day
Step-by-step explanation:
We need to look at what amount of water comes in and what amount of water leaves
What comes in: x ft^3/ day
What leaves : 500x ft^3/ day
We start with 146 000 ft^3
Water in tank = what we start with + what comes in - what leaves
water in tank = 146000 + x*d - 500*d where d is the number of days
After 365 days , the tank has 0 ft^3 of water
0 = 146000 + x*365 - 500*365
Multiply
0 = 146000 + 365x - 182500
Combine like terms
0 = -36500+365x
Add 36500 to each side
36500 = 36500-36500+365x
36500 = 365x
Divide by 365
36500/365 = 365x/365
100=x
The value of x = 100
Answer:
a.) .95
b.) The expected number of baskets is 10.50.
c.) 1.7748
Step-by-step explanation:
a.) This is a binomial distribution as there are two possibilities: makes a free throw or doesn't. This means that you can use the binomial function on a calculator to figure out the answer. Use the binomial CDF function on a calculator and the number of trials=15, probability of success=.7, lower bound=0, upper bound=7. Once you have evaluated the answer, .0500, it will need to be subtracted from1, as you want everything not included in this section. The answer to part a is thus 1-.0500=.95.
b.) The expected value is calculated by taking the total number of shots and multiplying it by the probability of making the shot: 15×.7=10.5 shots.
c.) The standard deviation of a binomial distribution can be calculated by the formula . Plugging in the numbers you get =1.7748.
Answer:
Step-by-step explanation:
2x > 10 Divide by 2
2x/2 >10/2
x > 5
x cannot be 5 or anything smaller.
In English, x >5 reads as x must be greater than 5. (It can't be equal to 5 because 5 is not greater than 5)
The only two items that work are
8 which is greater than 5 and
30 which is also greater than 5
Hi there!
<u><em>Answer:</em></u>
<u><em>t=26</em></u>
<u><em>*The answer must have a positive sign.*</em></u>
Step-by-step explanation:
First, you subtract by 19 from both sides of an equation.
Then, you subtract by the numbers from left too right.
<u><em>Final answer is t=26</em></u>
I hope this helps you!
Have a nice day! :)
-Charlie
:D