Help with math work
1 answer:
You might be interested in
Answer:
a. 0.4772 = 47.72 %
b. 0.7605 = 76.05 %
Step-by-step explanation:
What we must do is calculate the z value for each value and thus find what percentage each represents and the subtraction would be the percentage between those two values.
We have that z is equal to:
z = (x - m) / (sd)
x is the value to evaluate, m the mean, sd the standard deviation
a. ind the least proportion of data falls between 70 and 80 If the histogram is bell shaped:
So for 70 copies we have:
z = (70 - 70) / (5)
z = 0
and this value represents 0.5
So for 80 copies we have:
z = (80 - 70) / (5)
z = 2
and this value represents 0.9772
p (70 > x > 80) = 0.9772 - 0.5
p (70 > x > 80) = 0.4772 = 47.72 %
b. Find the proportion of data between 65 and 77
So for 65 copies we have:
z = (65 - 70) / (5)
z = -1
and this value represents 0.1587
So for 77 copies we have:
z = (77 - 70) / (5)
z = 1.4
and this value represents 0.9192
p (65 > x > 77) = 0.9192 - 0.1587
p (65 > x > 77) = 0.7605 = 76.05 %
Answer:
m = 57/14 =
Step-by-step explanation:
The polynomial can be expressed as follows;
P(x) = 2·x³ - m·x² + x - 5·m
(2·x³ - m·x² + x - 5·m) ÷ (x - 2)
2·x²
(-m - 2)·x² + x
(-m - 2)·x
(m + 3)·x - 5·m
(m + 3)·x
-5·m
The remainder = -5·m/(x -2)
Similarly, dividing by (x + 1) will give a remainder of -5·m/(x + 1)
But -5·m/(x -2) = 4×-5·m/(x + 1)
5/(x -2) = 20/(x + 1)
5(x + 1) = 20(x -2)
20x - 5x= 40 + 5
x = 45/15 = 3
2·3³ - m·3² + 3 - 5·m = 54 - 9m + 3 - 5m = 57 - 14m
(57 - 14m)/1 = (57 - 14m)/4
228 - 56m =57 - 14m
171 = 56m-14m = 42m
m = 171/42 = 57/14.