Answer:b)0.8577
Step-by-step explanation:
Since the heights of men are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - u)/s
Where
x = heights of men
u = mean height
s = standard deviation
From the information given,
u = 69 inches
s = 2.8 inches
We want to find the probability that the mean height of the 100 men is less than 72 inches.. It is expressed as
P(x < 72)
For x = 72
z = (72 - 69)/2.8 = 1.07
Looking at the normal distribution table, the probability corresponding to the z score is 0.8577
P(x < 72) = 0.8577
Answer:
3 m : 4 cm, 3 m/4 cm, 3 m to 4 cm
Step-by-step explanation:
The actual playground will have an area of 72 m², and have one side be double the other, because the scale drawing does so too.
We can make a system of equations: l * w = 72, l = 2w
Substitute: 2w * w = 72
Simplify: 2 * w² = 72
Divide: w² = 36
Square root: <em>w = 6 m</em> (no negatives due to distances always > 0)
Substitute: l = 2 * 6 m
Simplify: <em>l = 12 m</em>
This means that the relations of one side is <em>6 m : 8 cm</em>. That can be simplified to 3 m : 4 cm.
42% ................................
Answer:
5.
Step-by-step explanation:
0.35 m^2 = 0.35 * 100 * 100 = 3500 cm^2 ( as there is 100 cm in a meter).
So the maximum number of small rectangles she can cut
= 3500 / 700
= 5.
Answer:
Answer is 0.25 to 0.5
Step-by-step explanation:
Let the linear function be 
and exponential function be 
x 0.25 0.5 0.75 1.0 1.25 1.5
y 0.25 0.5 0.75 1.0 1.25 1.5
Diff 0.25 0.25 0.25 0.25 0.25
e^x 1.29 1.65 2.12 2.72 3.49 4.48
Diff 0.36 0.47 0.60 0.77 0.99
Hence 0.36 to be nearer to 0.25, than other intervals
So answer is 0.25 to 0.5
