Answer:
0.6915
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:
![\mu = 88, \sigma = 4[/ex]What is the probability that a single car of this model emits more than 86 mg/mi of NOX + NMOG?This is 1 subtracted by the pvalue of Z when X = 86. So[tex]Z = \frac{X - \mu}{\sigma}](https://tex.z-dn.net/?f=%5Cmu%20%3D%2088%2C%20%5Csigma%20%3D%204%5B%2Fex%5D%3C%2Fp%3E%3Cp%3E%3Cstrong%3EWhat%20is%20the%20probability%20that%20a%20single%20car%20of%20this%20model%20emits%20more%20than%2086%20mg%2Fmi%20of%20NOX%20%2B%20NMOG%3F%3C%2Fstrong%3E%3C%2Fp%3E%3Cp%3EThis%20is%201%20subtracted%20by%20the%20pvalue%20of%20Z%20when%20X%20%3D%2086.%20So%3C%2Fp%3E%3Cp%3E%5Btex%5DZ%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Csigma%7D)


has a pvalue of 0.3085
1 - 0.3085 = 0.6915
The answer is 0.6915
Answer:
Step-by-step explanation:
Length=18
Width/Breadth =10
Height=2
The formula for a diagonal face of a cuboid is=√(l²+ b²)
Face diagonal=√(18²+10²)
= 20.59 to 2.d.p
The formula for the body diagonal of a cuboid is=√(l² + b² + h²)
Body diagonal=√(18² + 10² + 2²)
=20.69 to 2.d.p
The slopes of perpendicular lines are opposite reciprocals
The true statement is that segments FG and HJ are perpendicular
<h3>How to determine the relationship between the segments</h3>
The coordinates of the points are given as:
F = (3,1)
G = (5,2)
H = (2,4)
J = (1,6)
Start by calculating the slopes of FG and HJ using the following slope formula

So, we have:


Also, we have:



To determine the relationship, we make use of the following highlights
- Parallel lines have the same slope
- The slopes of perpendicular lines are opposite reciprocals
From the computation above, we have:
- The slopes of both lines are not equal
- The slopes are opposite reciprocals i.e. 2 = -1(-1/2)
Hence, segment FG and HJ are perpendicular
Read more about perpendicular lines at:
brainly.com/question/2531713
Answer:
8 Hours
Step-by-step explanation:
40 divide by 5 is 8
Answer:
8 to 1 or 8/1 or 8:1
Step-by-step explanation:
you divide 64 by 8 to get 8