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Usimov [2.4K]
4 years ago
14

Let x be a random variable that represents checkout time (time spent in the actual checkout process) in minutes in the express l

ane of a large grocery. Based on a consumer survey, the mean of the x distribution is about μ = 2.7 minutes, with standard deviation σ = 0.6 minute. Assume that the express lane always has customers waiting to be checked out and that the distribution of x values is more or less symmetric and mound-shaped. What is the probability that the total checkout time for the next 30 customers is less than 90 minutes? Let us solve this problem in steps.

Mathematics
1 answer:
Liula [17]4 years ago
3 0

Answer:

steps attached below

Step-by-step explanation:

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The sum of two numbers is 50. One number is 10 less than three times the other number. What are the two numbers?
SIZIF [17.4K]

Answer:

i think its C. 15 and 35. hope this helps :)

5 0
3 years ago
Find the measure of ∠2 and ∠11<br><br> ∠2=________<br><br> ∠11=________
Ber [7]

Answer:

Angle 2 is 40 degrees and angle 11 is 50 degrees

Step-by-step explanation:

7 0
3 years ago
An open box of maximum volume is to be made from a square piece of cardboard, 24 inches on each side, by cutting equal squares f
Lisa [10]
A.) Let the length of the sides of the bottom of the box be y and z, and let the length of the sides of the square cut-outs be x, then
V = xyz . . . (1)
2x + y = 24 => y = 24 - 2x . . . (2)
2x + z = 24 => z = 24 - 2x . . . (3)

Putting (2) and (3) into (1), gives:
V = x(24 - 2x)(24 - 2x) = x(24 - 2x)^2 = x(576 - 96x + 4x^2)
V = 4x^3 - 96x^2 + 576x

b.) For maximum volume, dV/dx = 0
dV/dx = 12x^2 - 192x + 576 = 0
x^2 - 16x + 48 = 0
(x - 4)(x - 12) = 0
x = 4 or x = 12
but x = 12 is unrearistice
Therefore, x = 4.
y = z = 24 - 2(4) = 24 - 8 = 16

Therefore, the dimensions of the box that enclose the largest possible volume is 16 inches by 16 inches by 4 inches.

c.) Maximum volume = 16 x 16 x 4 = 1024 cubic inches.
3 0
3 years ago
Neptune is an average distance of 4.5 × 10^9 km from the Sun. Estimate the length of the Neptunian year using the fact that the
zlopas [31]

Answer:

Answer:

164.32 earth year

Step-by-step explanation:

distance of Neptune, Rn = 4.5 x 10^9 km

distance of earth, Re = 1.5 x 10^8 km

time period of earth, Te = 1 year

let the time period of Neptune is Tn.

According to the Kepler's third law

T² ∝ R³

\left ( \frac{T_{n}}{T_{e}} \right )^{2}=\left ( \frac{R_{n}}{R_{e}} \right )^{3}

\left ( \frac{T_{n}}{1} \right )^{2}=\left ( \frac{4.5\times10^{9}}}{1.5\times10^{8}}} \right )^{3}

Tn = 164.32 earth years

Thus, the neptune year is equal to 164.32 earth year.

Step-by-step explanation:

3 0
4 years ago
I need help asaap!!!!!!
Gala2k [10]

Answer:

I believe the answer is c

5 0
3 years ago
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