Answer:
volume of cube share box = 67.92 inch²
Step-by-step explanation:
given data
soccer ball volume = 85.3π cubic inches
solution
we know that ball will fit inside the box when box length will be equal to diameter of ball
and here soccer ball volume will be express as
soccer ball volume = 
.................1
85.3π =
solve it we get
r³ = 69.9765
r = 4.12 inch
so diameter = 2 × 4.12 = 8.24 inch
diameter = length of box side
volume of cube share box = a²
volume of cube share box = 8.24²
volume of cube share box = 67.92 inch²
Answer:
121.50
Step-by-step explanation:
Let x be the earnings
2x+10 = 253
Subtract 10 from each side
2x+10-10 = 253-10
2x = 243
Divide by 2
2x/2 = 243/2
x = 121.50
(0,a)
it didnt move left or right on the x-axis
it went up a units (since its half of 2a)
Answer:
Step-by-step explanation:
Hello!
X: the lifespan of a new computer monitor of Glotech.
The average life is μ= 85 months and the variance δ²= 64
And a sample of 122 monitors was taken.
You need to calculate the probability that the sample mean is greater than 86.6 months.
Assuming that the variable has a normal distribution X~N(μ;δ²), then the distribution of the sample mean is X[bar]~N(μ;δ²/n)
To calculate this probability you have to work using the sampling distribution and the following formula Z= (X[bar]-μ)/δ/√n ~N(0;1)
P(X[bar]>86.6)= 1 - P(X[bar]≤86.6)
1 - P(Z≤(86.6-85)/(8/√122))= 1 - P(Z≤2.21)= 1 - 0.98645= 0.013355
The probability of the sample mean is greater than 0.013355
I hope this helps!
