We need to find the area under the standard normal curve that is to the right of 66.
Various ways of doing this include the following:
1) Calculator: normalcdf(66, 10000, 100, 15) = 0.988, or 98.8%
2) z-scores (using a published table of z scores)
66 - 100
a) Find the z score corresponding to 66. It is z = -------------- = -2.27
15
b) Find the area under the st. normal curve to the left of z=-2.27 (it is 0.012). Subtract that area from the total area, 1.000. The result will be the answer to this question.
The function expressed in the graph has a steeper slope than the function in the table.
and
The y-intercept is the same for both functions.
I just completed this assignment for edge.
The wall would be 216.72 feet for Joanna’s wall.
Step-by-step explanation:
Given
- 4x + 5x = 11
or 5x = 11 + 4
or 5x = 15
or x = 15 /5
Therefore x = 3.
Hope it will help :)❤
Step-by-step explanation:
3a²-7a−6
Factor the expression by grouping. First, the expression needs to be rewritten as 3a
2
+pa+qa−6. To find p and q, set up a system to be solved.
p+q=−7
pq=3(−6)=−18
Since pq is negative, p and q have the opposite signs. Since p+q is negative, the negative number has greater absolute value than the positive. List all such integer pairs that give product −18.
1,−18
2,−9
3,−6
Calculate the sum for each pair.
1−18=−17
2−9=−7
3−6=−3
The solution is the pair that gives sum −7.
p=−9
q=2
Rewrite 3a
2−7a−6 as (3a
2−9a)+(2a−6).
(3a 2−9a)+(2a−6)
Factor out 3a in the first and 2 in the second group.
3a(a−3)+2(a−3)
Factor out common term a−3 by using distributive property.
(a−3)(3a+2)
