Answer:
24
Step-by-step explanation:
120/6=20
300/15=20
360/18=20
480/20=24
Check:
480/24=20
On graph paper, simple plot these two points. Then draw a line that hits both of these points. Then you will find that the line you drew never entered the first quadrant (the one on the top right side)
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
1) x + 3.2= -3.5
subtract 3.2 from both sides
x+ 3.2 - 3.2= -3.5 - 3.2
it cancels out on the left
x= -6.7
2) 8/9x= 32
divide both sides by 8/9
8/9x ÷ 8/9= 32 ÷ 8/9
it cancels out on the left
to divide on the right, multiply fraction by its reciprocal/inverse
x= 32 * 9/8
multiply numerators (top)
x= (32*9)/8
x= 288/8
x= 36
ANSWER: 1) x= -6.7; 2) x= 36
Hope this helps! :)
