Answer:
11x2 + 2x-13
Step-by-step explanation:
We must build the new function f-g, which turns to be a sum between polynomials.
f(x)-g(x)= 12x+20 + 11x2- 10x-33
f(x)-g(x)= 12x+20 + 11x2- 10x-33
f(x)-g(x)= 11x2 + 2x-13
Answer:
0.8762 or 87.62%
Step-by-step explanation:
Since our mean is μ=14.3 and our standard deviation is σ=3.7. If we're trying to figure out what percentage is P(10 ≤ x ≤ 26) equal to we must first calculate our z values as such:
Our x value ranges from 10 to 26 therefore let x=10 and we obtain:
If we look at our z-table we find that the probability associated with a z value of -1.16 is 0.1230 meaning 12.30%.
Now let's calculate the z value when x = 26 and so:
Similarly, we use the z-table again and find that the probability associated with a z value of 3.16 is 0.9992 meaning 99.92%.
Now we want to find the probability in between 10 and 26 so we will now subtract the upper limit minus the lower limit in P(10 ≤ x ≤ 26) therefore:
0.9992 - 0.1230 = 0.8762
or 87.62%
Answer:
$25.80
Step-by-step explanation:
First find the price of the meal with sales tax. Multiply 6.75% by $72.50.
72.50 * 0.0675 = 4.89
Add this value onto 72.50.
72.50 + 4.89 = 77.39
Divide this amount by 3.
77.39 / 3 = 25.7966...
Round this to the nearest hundredth because we're dealing with money.
$25.80 is how much each person should pay.
What is 8% of 24.52= 1.9616
just round up
Answer:
<u>9 mph</u>
Step-by-step explanation:
Calvin's first leg of the trip took 0.5 hr (30 minutes) at 6 mph. That means he travelled (0.5hr x 6 mph =) 3 miles. He travelled 3 miles on the return trip, by definition (same path home). At 18 mph, 3 miles would take (3 miles/18 mph =) 0.1667 hours. That makes a total of 6 miles and (0.5 + 0.1667=) 0.6667 hours.
(6 miles)/(0.6667 hours) = 9 mph is Calvin's average speed for the round trip.
