Subtract the mean from the high score and divide by the standard deviation:
510 - 508 = 2
2/8 = 0.25
Using the Z tabe find the z value for 0.25 = 0.5987
Now subtract that value from 1:
1 - 0.5987 = 0.4013
Answer: D. 15
Step-by-step explanation:
Given : The revenue each season from tickets at the theme part is represented by
.
The cost to pay the employees each season is represented by
.
From the given graph , we can see that at 4th season, the profit = 15
Hence, the estimated profit after four seasons. =15
(1)
we are given
U is the midpoint of RS
and we have

so, we can use formula

we can plug values

............Answer
(2)
V is the midpoint of ST
so, we get

now, we can plug values

divide both sides by 2
.........Answer
(3)
now, we can find y
W is the midpoint of TR
so, we get

we can plug value

divide both sides by 3

(4)
we can see that
triangles URW and RST are similar
so, their sides ratios must be equal
so, we get

we can plug values



...........Answer
(5)
we can see that
triangles SUV and RST are similar
so, their sides ratios must be equal
so, we get

now, we can plug values


.............Answer
Answer:
See the attached figure for better explanation :
Step-by-step explanation :
1. By the unique line postulate, you can draw only one line segment : <u>BC</u>
Since only one line can be drawn between two distinct points.
2. Using the definition of <u>reflection</u>, reflect BC over l.
To find line segment which reflects BC over l, we will use the definition of reflection.
3. By the definition of reflection, C is the image of itself and <u>A</u> is the image of B.
Definition of reflection says the figure about a line is transformed to form the mirror image. Now, CD is perpendicular bisector of AB so A and B are equidistant from D forming the mirror image of each other.
4. Since reflections preserve <u>length</u>, AC = BC
In Reflection the figure is transformed to form a mirror image, Hence the length will be preserved in case of reflection.
Answer:
0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Mean 490 mg and variance of 400.
This means that 
What is the probability that a randomly selected pill contains at least 500 mg of minerals?
This is 1 subtracted by the p-value of Z when X = 500. So



has a p-value of 0.6915.
1 - 0.6915 = 0.3085
0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals