Answer:
Area is 126.5 inches^2
Step-by-step explanation:
Mathematically, to calculate the area of the trapezoid, we use the following mathematical formula;
A = 1/2(a + b) h
here, a and b represents the two parallel sides which is 9 and 14 inches here and h which is the height is 11
Plugging these values into the equation, we have
A = 1/2(9 + 14)11
= 1/2(23)11 = (23*11)/2 = 126.5 inches^2
Answer:
(a) 85 - (35 x 2) - 6
Step-by-step explanation:
The miles Mr. Richardson has left to drive will be the difference between the distance to his goal and the miles he has alread driven. The relation between distance, speed, and time can be used to find the miles he drove before lunch.
__
<h3>before lunch</h3>
distance = speed × time
miles before lunch = (35 mi/h) × (2 h) = (35 × 2) mi
<h3>total driven</h3>
The total miles driven before stopping for gas will be ...
miles before stopping for gas = (miles before lunch) + (6 more miles)
= 35 ×2 +6 . . . miles
<h3>miles remaining</h3>
Then the remaining miles are ...
remaining = trip miles - miles driven
= 85 -(35 ×2 +6)
= 85 - (35 ×2) -6 . . . . . miles left to drive
Answer:
A)
B) Mean = 1.816
Step-by-step explanation:
We are given the following information:
We treat Stephen Curry making any given free throw as a success.
P(Stephen Curry makes any given free throw) = 0.908
Since the probability for the free throw is equal for each trial and free throws are independent.
Then the number of free shots follows a binomial distribution.
A) Probability distribution
where n is the total number of observations, x is the number of success, p is the probability of success.
Here n = 2, p = 0.908

Now x can take values 0, 1 , 2
Putting values, we get,

B) Mean of X

Thus, the mean number of free shots made by Stephen Curry is 1.816
Since blue jelly beans cost less the could have a greater amount amount of blue then red since its less expensive for each bag of blue jelly beans
Answer:
The maximum error in the function G, ΔG = ±4
Step-by-step explanation:
G(x,y,z) = 20 In (xyz²)
Total or maximum error for a multi-variable function is given by
ΔG = (∂G/∂x) (Δx) + (∂G/∂y) (Δy) + (∂G/∂z) (Δz)
(∂G/∂x) = 20yz²/xyz² = 20/x
(∂G/∂y) = 20xz²/xyz² = 20/y
(∂G/∂z) = 40xyz/xyz² = 40/z
Δx = ±0.10
Δy = ±0.15
Δz = ±0.20
ΔG = (∂G/∂x) (Δx) + (∂G/∂y) (Δy) + (∂G/∂z) (Δz)
ΔG = (20/x) (0.10) + (20/y) (0.15) + (40/z) (0.2)
At the point (x,y,z) = (2,3,4)
ΔG = (20/2) (0.10) + (20/3) (0.15) + (40/4) (0.2) = 10(0.10) + 20(0.05) + 10(0.2) = 1 + 1 + 2 = 4
ΔG = ±4