To solve this problem, what we have to do is to calculate
for the z scores of each condition then find the probability using the standard
normal probability tables for z.
The formula for z score is:
z = (x – u) / s
where,
x = sample value
u = sample mean = 23 days
s = standard deviation = 1 day
A. P when x < 21 days
z = (21 – 23) / 1
z = -2
Using the table,
P = 0.0228
Therefore there is a 2.28% probability that the hatching
period is less than 21 days.
B. P when 23 ≥ x ≥ 22
<span>z (x=22) = (22 – 23) / 1 = -1</span>
P (z=-1) = 0.1587
z (x=23) = (23 – 23) / 1 = 0
P (z=0) = 0.5
P = 0.5 - 0.1587 = 0.3413
Therefore there is a 34.13% probability that the hatching
period is between 22 and 23 days.
C. P when x > 25
z = (25 – 23) / 1
z = 2
P = 0.9772
This is not yet the answer since this probability refers
to the left of z. Therefore the correct probability is:
P true = 1 – 0.9772
P true = 0.0228
<span>Therefore there is a 2.28% probability that the hatching
period is more than 25 days.</span>
Answer:
The answer is
<h2>

</h2>
Step-by-step explanation:
<h3>

</h3>
<u>Expand the terms in the bracket</u>
That's
<h3>

</h3>
Move - 2x to the left side of the inequality to make it positive
<h3>

</h3>
<u>Add 4 to both sides</u>
That's
<h3>

</h3>
<u>Divide both sides by 8</u>
<h3>

</h3>
We have the final answer as
<h3>

</h3>
Hope this helps you
Answer:
The given rectangle is not possible.
Step-by-step explanation:
The minimum perimeter of such a rectangle is 4√30 meters, about 21.9 meters. That is about 71.9 feet. The largest rectangle with a perimeter of 26 feet will have an area of about 3.93 square meters.
The rectangle described cannot exist.
The quotient of 3 and 3/5 divided by 2/5 is 0.134
Answer:
Drink=5.75
Popcorn=1.83
Percentage for drink=75.9%
Step-by-step explanation
Let the popcorn be p
the drinks be d
6p+4d=34....(1)
12p+7d=66.25...(2)
Multiply (1) by 2
12p+8d=72....(3)
Substrate (2) from (3)
d=5.75
Substitute the value for d into (1)
6p+4(5.75)=34
6p+23=34
Substrate 23 from both sides
6p=11
Divide both sides by 6
p=1.83
So for one drink=$5.75
For one popcorn=$1.83
To determine the% for drink
5.75+1.83=7.58
5.75/7.58 ×100
575/7.58
75.858~75.9%
The percentage for drink is 75.9%