Answer:
Step-by-step explanation:
Total interior angles in a triangle=180 degrees
That is: 3x + 10 + 5x - 1 + x =180
9x+9=180
9x=180-9
9x=171
x=171/9
x=19
Therefore
Angle A =67 degrees
Angle B= 94 degrees
Angle C = 19 degrees
It is a knowledge check
On aleks
Answer:
correct answer is option B
Step-by-step explanation:
as we know equation of line
y = m x + c....................(1)
where c is the intercept
m is the slope
m = 
m = 
m = 35
putting value of m in equation (1)
we get
y = 35 x + c
from the graph we can clearly see that line is passing through (0,0) hence
0 = 35 (0)x + c
c = 0
hence the equation of line comes out to be
y = 35 x
correct answer is option B
Answer:
a = -
, b = - 
Step-by-step explanation:
To obtain the required form use the method of completing the square
add/ subtract ( half the coefficient of the x- term)² to x² - 9x
y = x² + 2(-
)x +
-
+ 14
= (x -
)² -
+ 
= (x -
)²-
← in the form (x + a)² + b
with a = -
and b = - 
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