Answer:
0.4394
Step-by-step explanation:
given that an auto parts store is examining how many items were purchased per transaction at the store as compared to their online website
The data is shown below:
Frequency Frequency*Midpt
Midpt Online Total Online Total
1-3 2 40 147 80 294
4-6 5 60 103 300 515
7-9 8 15 32 120 256
10-12 11 5 18 55 198
120 300 555 1263
Thus we find total items purchased on line = 555
and total items overall purchased = 1263
Hence the probability that a randomly selected item was purchased online
=
Answer:
x = -1 and x = 5
Step-by-step explanation:
<em>What are the solutions of the equation (x – 3)² + 2(x – 3) -8 = 0? Use u substitution to solve.</em>
<em />
(x – 3)² + 2(x – 3) -8 = 0 -------------------------------------------------------(1)
To solve this problem, we will follow the steps below;
let u = x-3
we will replace x-3 by u in the given equation:
(x – 3)² + 2(x – 3) -8 = 0
u² + 2u -8 = 0 ----------------------------------------------------------- --------------(2)
We will now solve the above quadratic equation
find two numbers such that its product gives -8 and its sum gives 2
The two numbers are 4 and -2
That is; 4×-2 = -8 and 4+(-2) = 2
we will replace 2u by (4u -2u) in equation (2)
u² + 2u -8 = 0
u² + 4u - 2u -8 = 0
u(u+4) -2(u+4) = 0
(u+4)(u-2) = 0
Either u + 4 = 0
u = -4
or
u-2 = 0
u = 2
Either u = -4 or u = 2
But u = x-3
x = u +3
when u = -4
x = u + 3
x = -4 + 3
x=-1
when u = 2
x = u + 3
x = 2 + 3
x=5
Therefore, x = -1 and x =5
x
Answer:
-2
Step-by-step explanation:
3.3÷(0.8−3)−0.5
First think of PEMDAS
So first do parenthese
(0.8-3)=-2.2
3.3÷-2.2-0.5
Now do division
3.3/-2.2=-1.5
and now subtraction
-1.5-0.5=-2
Lines BC are equal to or congruent to AD, because the tick marks show they are equal to each other in size. Therefore, they are congruent.
So I try to help
Step-by-step explanation:
I don't no sorrry
