Using the normal distribution, it is found that the probability is 0.16.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean 
and standard deviation 
, the z-score of a measure X is given by:
- It 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, which is the percentile of X.
In this problem, the mean and the standard deviation are given by, respectively, 
.
The proportion of students between 45 and 67 inches is the p-value of Z when <u>X = 67 subtracted by the p-value of Z when X = 45</u>, hence:
X = 67:
Z = -1
Z = -1 has a p-value of 0.16.
X = 45:
Z = -8.3
Z = -8.3 has a p-value of 0.
0.16 - 0 = 0.16
The probability is 0.16.
More can be learned about the normal distribution at brainly.com/question/24663213
Answer:
Slope of perpendicular line is -1/3
Step-by-step explanation:
The slope of the given line is 3 and we have to find the slope of the perpendicular line.
We know that the slope of two perpendicular lines are negative reciprocal of each other.
In other words if the slope of the line is m then then slope of the perpendicular line is 
The reciprocal of 3 is 
Hence, negative reciprocal of 3 is 
Therefore, the slope of perpendicular line is -1/3
C is the correct option.
Answer:
y=6
Step-by-step explanation:
Differentiate the equation
dy/dx=2x-8
Find the value of x in equation form
2x-8=0
x=8/2=4
Now x=4 is the line of symmetry or the parabola of the quadratic equation.
Plug back x=4 into the equation to find the turning point(minimum value)
y=(4)²-8(4)+22
y=16-32+22
y=6
40/50 is the ratio because the cos formula is adjacent over hypotenuse and you can reduce it to 4/5 as a fraction :)
Answer:
Fraction 81/100
Decimal .81
Percent 81%
Step-by-step explanation:
There are total 10×10 = 100 squares in the picture and number of shaded squares = 100 - 19 = 81
Shaded area expressed as the fraction of the whole =
Shaded area in decimals of the whole =
Shaded area in percent of the whole = = 81%
