Answer:
option A
Step-by-step explanation:
given,
10% A grades 80% B grades 10% C grades
This year, managers with scores less than 35 received C's and those with scores above 425 received A's.
The mean has to be middle of two corresponding cutoff value

μ = 230
Cutoff Off C grade corresponds with the area of 0.10 is table A.
corresponding z- score according to Table A
Z = -1.28
now, standard deviation



σ = 152.3
Correct answer is option A
Answer:
16.....................................
- 6⁹*6ⁿ = 6¹²
- 6⁹⁺ⁿ = ¹²
- 9 + n = 12
- n = 3
17.....................................
- 7⁸/7ⁿ = 7³
- 7⁸⁻ⁿ = 7³
- 8 - n = 3
- n = 5
18.....................................
19.....................................
- 1/10⁵ = 10ⁿ
- 10⁻⁵ = 10ⁿ
- -5 = n
- n = -5
20.....................................
- (8²)ⁿ = 8¹²
- 8²ⁿ = 8¹²
- 2n = 12
- n = 6
Answer:
and 
Step-by-step explanation:
Assume that the terminal side of thetaθ passes through the point (−12,5).
In ordered pair (-12,5), x-intercept is negative and y-intercept is positive. It means the point lies in 2nd quadrant.
Using Pythagoras theorem:




Taking square root on both sides.

In a right angled triangle




In second quadrant only sine and cosecant are positive.
and 
Diameter=14cm
Radius=14 divided by 2
Radius=7cm
Answer:
47.5%
Step-by-step explanation:
Find the z-scores:
z = (x − μ) / σ
z₁ = (300 − 400) / 50 = -2
z₂ = (400 − 400) / 50 = 0
300 is 2 standard deviations below the mean, and 400 is 0 standard deviations from the mean.
From the empirical rule, 95% of a normal distribution is between -2 and +2 standard deviations. Since normal distributions are symmetrical, that means half of that is between -2 and 0 standard deviations.
95% / 2 = 47.5%