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
=
We will begin by working through Part (a): Simplify √18
To simplify a square root such as the one above, we must factor out perfect square numbers (this means we must find a number that multiplies to 18 and gives a whole number when we square root it). Using our knowledge that √9 is a perfect square, we should factor out a 9 from 18, as modeled below:
√18 = √(9*2)
We can separate this square root into two square roots multiplied together, as shown below:
√(9*2) = √9 * √2
Now, we should simplify √9, which equals 3, because 3 * 3 = 9.
√9 * √2 = 3 * √2 = 3√2
Therefore, √18 = 3√2.
Now, we can move on to the next problem: √6 * √15.
To begin this problem, we can multiply the square roots together, which means multiplying the numbers under the radical.
√6 * √15 = √(6*15) = √90
To simplify this, we use the same process as above:
√90 = √(10 * 9) = √9 * √10 = 3√10
Note: We know that this fully simplified because we cannot factor out another perfect square number from the number under the radical (10).
Therefore, your two answers are 3√2 and 3√10.
Hope this helps!
Answer:
D. Mean absolute deviation
Step-by-step explanation:
Median gives us : 159
Range gives us: 680 - 127 = 553
mean gives us :
127+137+159+188+680 = 1291
1291 / 5
= 258.2
MAD gives us the mean deviation (avg change from the mean):
mean
= 258.2
258.2 - 127 =131.2
258.2 - 137 =121.2
258.2 - 159 =99.2
258.2 - 188 =70.2
680 - 258.2
=421.8
Find the mean of the variances:
70.2+99.2+121.2+131.2+421.8 = 843.6
843.6 / 5
= 168.72
Mad = 258.2 +- 168.72
Answer:
Option 2
Step-by-step explanation:
We know that the graph will face down (the negative sign)
We also know that the vertex should be (-2, 1)
Therefore, option 2 is the solution
