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
Check the picture below.
so the rectangular prism, or that box, is really just 6 rectangles stacked up to each other at the edges, notice
front and back are just two 9x5 rectangles
left and right are just two 5x4 rectangles
top and bottom are just two 9x4 rectangles
get the area of all 6, sum them up, and that's the area of the box.
We collect like terms
8x - 3x = 3 + 5 + 9
This is bcos if a (-) sign crosses the equals sign it becomes a (+), and if a (+) sign crosses the equals sign it becomes (-)
We the have
5x = 17
Divide both sides by 5
x = 17/5
x = 3.4
ANSWER : both angles are 60 degrees and x is equal to 8.
10x - 20 = 7x + 4
Move the terms
3x = 24
x= 8
Sub back in to find the value:
80 - 20 = 60
56 + 4 = 60
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Answer:
54 -6m
Step-by-step explanation:
For values of m < 9, the argument of the absolute value function is less than 0. Then the expression evaluates to ...
-(6m -54) = 54 -6m