Answer:
97.6% of the trees will have diameters between 7.6 and 18.6 inches.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 12 inches
Standard Deviation, σ = 2.2 inches
We are given that the distribution of diameter of tree is a mound shaped distribution that is a normal distribution.
Formula:
P(diameters between 7.6 and 18.6 inches)
97.6% of the trees will have diameters between 7.6 and 18.6 inches.
Answer:
105 inventions
Step-by-step explanation:
Find how many inventions Inventor B had by dividing 630 by 6:
630/6
= 105
So, Inventor B had 105 inventions
The solution to given system of equations is (x, y) = (2, -1)
<em><u>Solution:</u></em>
Given system of equations are:
-1x + 2y = -4 -------- eqn 1
4x + 3y = 5 ------- eqn 2
We can solve the above system of equations by elimination method
<em><u>Multiply eqn 1 by 4</u></em>
4(-1x + 2y = -4)
-4x + 8y = -16 ------ eqn 3
<em><u>Add eqn 2 and eqn 3</u></em>
4x + 3y = 5
-4x + 8y = -16
( + ) --------------------
0x + 11y = -16 + 5
11y = -11
y = -1
<em><u>Substitute y = -1 in eqn 1</u></em>
-1x + 2(-1) = -4
-x -2 = -4
-x = -4 + 2
-x = -2
x = 2
<em><u>Check the answer:</u></em>
Substitute x = 2 and y = -1 in eqn 2
4x + 3y = 5
4(2) + 3(-1) = 5
8 - 3 = 5
5 = 5
Thus the obtained answer is correct
Thus the solution to given system of equations is (x, y) = (2, -1)
$52/(100-15)=$0.6117 is 1 percent of the price
$0.6117*100=$61.17
Last week the price of the shoes was $61.17
