Answer:
Upper P95 = 16.21in
Step-by-step explanation:
When the distribution is normal, we use 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 question, we have that:
Upper P 95
This is the 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.
Then
Upper P95 = 16.21in
Answer:
22
Step-by-step explanation:
40x.55=22
Let be:Speed of the wind: WSpeed of the plane in still air: P
Against the wind the plane flew:Distance: d=175 milesTime: ta=1 hour 10 minutesta=1 hour (10 minutes)*(1 hour/60 minutes)ta=1 hour + 1/6 hourta=(6+1)/6 hourta=7/6 hourSpeed against the wind: Sa=d/taSa=(175 miles) / (7/6 hour)Sa=175*(6/7) miles/hourSa=1,050/7 miles per hourSa=150 mph
(1) P-W=Sa(1) P-W=150
The return trip only took 50 minutesDistance: d=175 milesTime: tr=50 minutestr=(50 minutes)*(1 hour/60 minutes)tr=5/6 hour
Speed retur trip: Sr=d/trSr=(175 miles) / (5/6 hour)Sr=175*(6/5) miles/hourSr=1,050/5 miles per hourSr=210 mph
(2) P+W=Sr(2) P+W=210
We have a system of 2 equations and 2 unknows:(1) P-W=150(2) P+W=210
Adding the equations:P-W+P+W=150+2102P=360Solving for P:2P/2=360/2P=180
Replacing P by 180 in equation (2):(2) P+W=210180+W=210
Solving for W:180+W-180=210-180W=30
Answers:The speed of the plane in still air was 180 mphThe speed of the wind was 30 mph
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▹ Answer
<em>x = -7</em>
▹ Step-by-Step Explanation
-3x - 4(4x - 8) = 3(-8x - 1)
<u>Distribute</u>
-3x - 16x + 32 = -24x - 3
<u>Collect like terms</u>
-19x + 32 = -24x - 3
<u>Move variable to the left and change the sign</u>
-19x + 24x + 32 = -3
<u>Collect like terms</u>
5x = -3 - 32
<u>Calculate</u>
5x = -35
<u>Final Answer</u>
x = -7
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
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Answer:
C
Step-by-step explanation:
6*12=72
12*8=96
10*12=120
8*6*2/2=48
72+48+96+120=336
