Answer:
The minimum score required for an interview is 77.252
Step-by-step explanation:
We solve this using z score formula
z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Top 15% of the candidates is a ranking that is equivalent to = 100 - 15% = 85th percentile.
The z score of 85th percentile = 1.036
Mean = 70
Standard Deviation = 7
Minimum score = raw score = ???
Hence:
1.036 = x - 70/7
Cross Multiply
1.036 × 7 = x - 70
7.252 = x - 70
x = 70 + 7.252
x = 77.252
The minimum score required for an interview is 77.252
Answer:
x=40 degrees
Step-by-step explanation:
a triangle is a total of 180 degrees. 180-120-20=40
Answer:
12 units
Step-by-step explanation:
Because the two triangles are similar:

Hope this helps!
Answer:
1. 424
2.471
3.512
Step-by-step explanation:
1. 10×12+8×10+8×13+8×15
=120+80+104+120
=424
2. 5×24+9×24+9×15+9×15
=120+216+135
=471
3. 24×16+2×24+2×20+2×20
=384+48+40+40
=512
9514 1404 393
Answer:
y -2 = 2(x -2)
Step-by-step explanation:
The slope of the line is given by the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (4 -2)/(3 -2) = 2/1 = 2
The point-slope form of the equation for the line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
For the first point and the slope we found, the equation is ...
y -2 = 2(x -2)
__
You can rearrange this to any form you may like.
y -2 = 2x -4 . . . eliminate parentheses
y = 2x -2 . . . . . slope-intercept form
2x -y = 2 . . . . . standard form