Answer:
A
Step-by-step explanation:
Given
y = 
← cancel x on numerator/ denominator
= 
Cancelling the factor x, leaves a hole in the graph at x = 0
X = 7 + staci since 7 more cats added to x is stacis amount
Using the normal distribution, it is found that 0.0329 = 3.29% of the population are considered to be potential leaders.
In a <em>normal distribution</em> 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 is of 550, hence
.
- The standard deviation is of 125, hence
.
The proportion of the population considered to be potential leaders is <u>1 subtracted by the p-value of Z when X = 780</u>, hence:
has a p-value of 0.9671.
1 - 0.9671 = 0.0329
0.0329 = 3.29% of the population are considered to be potential leaders.
To learn more about the normal distribution, you can take a look at brainly.com/question/24663213
Answer:
Step-by-step explanation:
<u>Given function</u>
The points (-1, 1/6) and (1, 2/3) lie on the graph
<u>Substitute the values of x and y to get the system of equations:</u>
- 1/6 = c*a^(-1) ⇒ 1/6 = c/a ⇒ a = 6c
- 2/3 = c*a^1 ⇒ 2/3 = ac
<u>Substitute a and solve for c:</u>
- 2/3 = 6c*c
- 1/9 = c²
- c = √1/9
- c = 1/3
<u>Find a:</u>
<u>The equation of the function:</u>
Answer:
x = 7 hope this helps !!!
Step-by-step explanation:
Type 1: You know the short leg (the side across from the 30-degree angle). Double its length to find the hypotenuse. You can multiply the short side by the square root of 3 to find the long leg.
Type 2: You know the hypotenuse. Divide the hypotenuse by 2 to find the short side. Multiply this answer by the square root of 3 to find the long leg.
Type 3: You know the long leg (the side across from the 60-degree angle). Divide this side by the square root of 3 to find the short side. Double that figure to find the hypotenuse.
this is a type 3 triangle, and you can find the length of y from it, it being 14, and x is half of y, being 7
