The maximum and minimum acceptable diameter of the golf ball in the factory will be 42.672 mm to 42.668 mm.
<h3>What is the range?</h3>
The range is the difference between the maximum and minimum.
Given to us
The standard diameter of a golf ball is 42.67 mm.
The discrepancy in diameter is more than 0.002 mm.
As it is given to us that the standard diameter of the golf ball is 42.67 mm while the discrepancy in diameter is more than 0.002 mm.
Maximum acceptable diameter = 42.67 mm + 0.002 mm = 42.672 mm
Minimum acceptable diameter = 42.67 mm - 0.002 mm = 42.668 mm
Hence, the maximum and minimum acceptable diameter of the golf ball in the factory will be 42.672 mm to 42.668 mm.
Learn more about Range:
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Answer:
The minimum weight for a passenger who outweighs at least 90% of the other passengers is 203.16 pounds
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

What is the minimum weight for a passenger who outweighs at least 90% of the other passengers?
90th percentile
The 90th percentile is X when Z has a pvalue of 0.9. So it is X when Z = 1.28. So




The minimum weight for a passenger who outweighs at least 90% of the other passengers is 203.16 pounds
Answer:
x = -15 and x = 1
Step-by-step explanation:
Since we have to use the complete the square method, we first need to <u>rewrite the equation</u> in the form
.
This results in
.
Next, we <u>simplify the equation</u> to get
.
<u>Factoring </u>the left side gives us
.
Finally we <u>solve the equations</u>:
and
.
This gives us x=1, and x=-15
Answer:
5,600 m^2
Step-by-step explanation:
a 1cm= 0.01m
560000(0.01)=5600
Answer:
(-2, -4.5)
Step-by-step explanation:
We can solve this equation with substitution.
x=2y+7
3x-2y=3
We can "substitute" 2y+7 for x into the second equation:
3(2y+7)-2y=3
Distribute the 3
6y+21-2y=3
Add like terms
4y+21=3
Subtract 21 from both sides
4y=-18
Divide both sides by 4 to isolate y
y=-4.5
Plug -4.5 back in for y:
x=2(-4.5)+7
x=-9+7
x=-2
(x,y)=(-2,-4.5)