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
Use the letters q and d to represent # of quarters and # of dollars.
q + d = 22 coins.
$0.25q + $1.00d = $10.75 Mult. this by 100 to eliminate fractions:
25q + 100d = 1075
Subst. q = 22 - d into the 2nd equation:
25 (22 - d) + 100 d = 1075
550 - 25d + 100d = 1075
550 + 75d = 1075
75 d = 525
d = 7
q + d = 22, so if d = 7, then q = 22-7, or q=15.
There are 15 quarters and 7 dimes.
Answer:
From the frequency table, let's calculate the row total.
Row total for phone call = 19 + 9 = 28
Row total for no phone call = 8 +6 = 14
To calculate their respective row relative frequencies, let's use:
Row relative freq =
Now, the two-way frequency table will be computed as:
For phone call:
Desirable behavior =
≈0.69
Undesirable behaviour =
≈0.32
No phone call:
Desirable behaviour =
≈ 0.57
Undesirable behaviour =
≈ 0.43
The complete two-way table is attached.
Answer:

Step-by-step explanation:
Given

Required
Determine the value of T

Multiply both sides by 2


Divide through by 6




Answer:
15.5 feet
Step-by-step explanation:
Given:
Patty is building a rope ladder tree house she needs two 4 foot pieces of rope for the sides of the ladder.
She needs 6 pieces of rope each 15 inches long for the steps.
Question asked:
How many feet of rope does patty need to make the ladder ?
Solution:
She needs for the sides of the ladder = Two 4 foot pieces of rope
= 2
4 feet = 8 feet
She needs for the steps of the ladder = 6 pieces of 15 inches long rope
= 6
15 inches = 90 inches
Convert 90 inches into feet:-
12 inches = 1 feet
1 inches = 
90 inches = 
Patty needs total rope = 8 feet + 7.5 feet
= 15.5 feet
Thus, Patty needs 15.5 feet of rope to make the ladder.