Answer:
Option C. 
Step-by-step explanation:
we know that
The volume of a cylinder is equal to
we have
substitute
When Deshawn installs a shelf bracket, the width of the shelf that will fit without overhang will be 3 inches.
<h3>How to calculate the width?</h3>
From the complete information, the other two sides have been given as 4 inches and 5 inches.
The Pythagoras theorem will be used in this case and it goes thus:
4² + Width² = 5²
Width² = 5² - 4²
Width² = 25 - 16
Width² = 9
Width = ✓9
Width = 3
In conclusion, the width is 3 inches.
Learn more about width on:
brainly.com/question/25292087
Answer:
Step-by-step explanation:
Let x be the random variable representing the the length of newborn babies (in inches). Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 20 inches
σ = 2.6 inches
the probability that a given infant is between 14.8 and 25.2 inches long is expressed as
P(14.8 ≤ x ≤ 25.2)
For x = 14.8,
z = (14.8 - 20)/2.6 = - 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.023
For x = 25.2
z = (25.2 - 20)/2.6 = 2
Looking at the normal distribution table, the probability corresponding to the z score is 0.98
Therefore,
P(14.8 ≤ x ≤ 25.2) = 0.98 - 0.23 = 0.75
Answer:
(√2) / 3
Step-by-step explanation:
√(2/9) =√(2/3^2) =(√2)/3
