For a certain online store, the distribution of number of purchases per hour is approximately normal with mean 1,200 purchases a

The probability is 0. Fair dice have six sides, and each side has an equal chance of being rolled. The maximum possible outcome with two dice is 6 + 6 = 12, rendering a total of 13 unattainable. Hence, the probability of achieving a total of 13 is 0.

Answer:

Wyjaśnienie krok po kroku:

Załóżmy, że prostokąt ma wierzchołki (x,y,z) w dodatnim oktancie.  Prostokątny pudełko musi być symetryczne względem wszystkich trzech osi.

Wtedy jego boki to

Objętość =

Maksymalizuj objętość przy założeniu

tj.

Użyj mnożników Lagrange'a, mamy

przy maksimum

Dzieląc otrzymujemy

Podobnie

Zatem otrzymujemy

Stąd wymiary to

(2x,2y,2z)

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Answer: CI = (0, 8)

Step-by-step explanation: The confidence interval for the difference in means is given as

Lower limit

= (x1 - x2) + margin of error

Upper limit

= (x1 - x2) - margin of error

Where x1 - x2 = 8 and the margin of error = 8

For the lower limit,

= 8 - 8 = 0

For the upper limit

= 8 + 8 = 16

Thus, CI = (0, 8)

To calculate the mean absolute deviation of
1,2,3,4,5,6,7
, we start by finding the mean;
 (1+2+3+4+5+6+7) =28/7
                               = 4
. Next, we determine the absolute differences of each data point from the mean (x-μ)
 = -3,-2,-1,0,1,2,3
. The absolute values are 3,2,1,0,1,2,3
. Now we compute the mean of these absolute differences,
3+2+1+0+1+2+3 = 12
                           = 12/7
                           = 1.7143
. Thus, the mean is 4, and the Mean absolute deviation comes out to be 1.7143

It is provided that

We need to determine t when d equals 74

Thus, or

t(16t + 37) - 2(16t + 37) = 0

(t - 2)(16t + 37) = 0

t - 2 = 0 or 16t + 37 = 0

t cannot be negative.

Thus, t equals 2

Therefore, it will require 2 seconds for the object to cover 74 feet.