Using z-scores, it is found that the value of z is z = 1.96.
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Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula, which for a measure X, in a distribution with mean 
and standard deviation 
, is given by:
- It measures how many standard deviations the measure is from the mean.
- Each z-score has an associated p-value, which is the percentile.
- The normal distribution is symmetric, which means that the middle 95% is between the <u>2.5th percentile and the 97.5th percentile</u>.
- The 2.5th percentile is Z with a p-value of 0.025, thus Z = -1.96.
- The 97.5th percentile is Z with a p-value of 0.975, thus Z = 1.96.
- Thus, the value of Z is 1.96.
A similar problem is given at brainly.com/question/16965597
X = the number of months the tire was used
y = the thickness of the tire tread
y = -(3/7)x + 20
Substitute x for 20 (the number of months the tire was used) and solve for y.
The next question: Substitute x for 49 (the number of months the tire was used) and solve for y.
Answer:
11 3/5*9*12 1/2=1,305
1,305 cubic meters
Hope I helped.
Step-by-step explanation:
Their earnings would be the same after 4 hours
Let the number of hours be x, and the weekly earning be y
So, the given parameters are:
<u>Kimi</u>
- Earnings = $9 per hour
- Weekly allowance = $8
So, the equation for Kimi's weekly earning is:
<u />
<u>Jordan</u>
- Earnings = $7 per hour
- Weekly allowance = $16
So, the equation for Jordan's weekly earning is:
Equate both equations
Collect like terms
Divide both sides by 2
Hence, their earnings would be the same after 4 hours
Read more about linear equations at:
brainly.com/question/13729904
Answer:
(-2, -2)
Step-by-step explanation:
Red point represents (-2,-6) while blue point represents (-2,-2). count the numbers upward and it'll be 4 units. Best thing to do in this problem is to plot the given points and go from there.
