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
Always because all real numbers are solutions. Please give brainliest.
Visualize the kite as a triangle, with the point where the kite is anchored being 'A', the kite being 'B', and the point directly below the kite being 'C'. We know that line segment BC is 19 meters, and can use trigonometry to find the length of the string, line segment AB. The operator 'sin' can be calculated by dividing the opposite leg over the hypotenuse, so given the angle 'A', we can solve for the hypotenuse.
. If we solve for 'x', we get
. Plug 19 over sin(33) into your calculator and you get 34.885, so the answer is A, 35 feet
When a point divide a line segment A (x1,y1) B (x2,y2) into a ration of a:b, the coordinates of that point is x1+[a/(a+b)](x2-x1), y1+[a/(a+b)](y2-y1)
so x=0+(2/3)(6-0)=4
y=4+(2/3)(8-4)=6&2/3 (mixed number 6 and 2 over 3)
(4, 6&2/3) is the answer.
Answer:
x < -4
Step-by-step explanation:
First step is to subtract 9 from each side to isolate the variable, x.
x + 9 - 9 < 5 - 9
Solve
x < -4
hope this helps :)
p.s. i really need brainliest
