Answer:
55.563
Step-by-step explanation:
Given the following :
Mean(m) point = 73
Standard deviation( sd) = 10.6
Lower 5% will not get a passing grade (those below the 5% percentile)
For a normal distribution:
The z-score is given by:
z = (X - mean) / standard deviation
5% of the class = 5/100 = 0.05
From the z - table : 0.05 falls into - 1.645 which is equal to the z - score
Substituting this value into the z-score formula to obtain the score(x) which seperates the lower 5%(0.05) from the rest of the class
z = (x - m) / sd
-1.645 = (x - 73) / 10.6
-1 645 * 10.6 = x - 73
-17.437 = x - 73
-17.437 + 73 = x
55.563 = x
Therefore, the score which seperetes the lower 5% from the rest of the class is 55.563
There are two triangles (top and bottom) and 3 rectangles.
the area of the three rectangles is 10*12+10*9+10*7=280
Area of each triangle: 1/2 of 12*5=30
area of two triangles: 30+30=60
Total surface area: 280+60=340 m²
Answer:
y=-4x-8
Step-by-step explanation:
use points (0,-8) and (-2,0) and plug into slope formula.
slope formula=(y2-y1)/(x2-x1)
(0-(-8))/(-2-0)=-4
you get y=4x+b
use point (-2,0) to find b
you get y=-4x-8
About 509 people. To find this answer you should set up a proportion and solve for x
I hoped this helped a little
1.
A graph of linear function is a straight line.
Linear function in a slope-intercept form: y = mx + b
Answer: Equation 3: y = 12x + 17.2.
x|-1 | 0 | 1 | ? |
y| 4 | 7 |10| ? |
a slope:

We choose:

subtitute:

a slope-intercept form:

subtitute:

subtitute x = 2 to the equation (*):
Answer: (2, 13)3.
(-2; 7), (-5; 4)
the slope:


check other:

The conclusion: It's a linear function
Answer: It is a linear function because there is a constant rate of change in both the input and output values. 4.
y = 3x + 5 /look at the picture/
Answer: It is a linear function because its graph contains the points (0, 5), (1, 8), (2, 11), which are on a straight line.
check: