Answer:
Step-by-step explanation:
Since the the production of the polymer fiber follows a normal distribution, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = measured diameter values.
µ = mean diameter
σ = standard deviation
From the information given,
µ = 30 μm
σ = 20 μm
a) The probability of a measured value greater than 80 μm is expressed as
P(x > 80) = 1 - P(x ≤ 80)
For x = 80,
z = (80 - 30)/20 = 2.5
Looking at the normal distribution table, the probability corresponding to the z score is 0.994
P(x > 80) = 1 - 0.994 = 0.006
b) the probability of a measured value between 60 and 75 μm is expressed as
P(60 ≤ x ≤ 75)
For x = 60,
z = (60 - 30)/20 = 1.5
The probability corresponding to the z score is 0.933
For x = 75,
z = (75 - 30)/20 = 2.25
The probability corresponding to the z score is 0.988
Therefore,
P(60 ≤ x ≤ 75) = 0.988 - 0.933 = 0.055
Answer:
d=-7
Step-by-step explanation:
Hope this helps! Pls give brainliest!
6.
original=100%
75% off means
100%-75%=25%
remaining is 25%
it was sold for 45
therfor
25%=45
find 100%
just multipl it by 4 since 25 times 4=100
100%=45 times 4=180
originl price=180
answer is A
7. simle interest
I=PRT
P=principal=1000
I=interest=300
T=time=5
R=rate in percent form=?
300=1000*?*5
300=5000?
divide both sides by 5000
0.06=?
aka
6%
answer is 6%
b is answer
6. A
7. B
Answer:
20
Step-by-step explanation:
(2,-3) to (4,-3) = 2
(4,-3) to (4,5) = 8
(4,5) to (2,5) = 2
(2,5) to (2,-3) = 8
Total =20
Answer:
m = 2n + 5
Step-by-step explanation:
Let's solve for m.
2m−6=4n+4
Step 1: Add 6 to both sides.
2m−6+6=4n+4+6
2m=4n+10
Step 2: Divide both sides by 2.
2m/2 = 4n+10/2
m=2n+5