Answer:
Number of people who order chicken dinner = 1
Number of people who order the steak dinner = 5
Step-by-step explanation:
Let
x = number of people who order chicken dinner
y = number of people who order the steak dinner
x + y = 6 (1)
14x + 17y = 99 (2)
From (1)
x = 6 - y
Substitute into (2)
14x + 17y = 99 (2)
14(6 - y) + 17y = 99
84 - 14y + 17y = 99
- 14y + 17y = 99 - 84
3y = 15
y = 15/3
y = 5
Substitute y = 5 into (1)
x + y = 6 (1)
x + 5 = 6
x = 6 - 5
x = 1
Number of people who order chicken dinner = 1
Number of people who order the steak dinner = 5
Answer:
In average, houses in the particular area use 119,6 therms of gas during the month of January.
Step-by-step explanation:
The μ formula is:
μ= ΣXi/N
ΣXi= is the sum of each xi. xi is each observation in the sample.
N= Total number of observations.
For this case:
ΣXi= 125+103+118+ 109+ 122+ 82+ 99+ 138+ 151+ 149
ΣXi= 1196
N= 10
μ= 1196/10
μ= 119,6
In average, houses in the particular area use 119,6 therms of gas during the month of January.
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What is the upper quartile, Q3, of the following data set? 54, 53, 46, 60, 62, 70, 43, 67, 48, 65, 55, 38, 52, 56, 41
scZoUnD [109]
The original data set is
{<span>54, 53, 46, 60, 62, 70, 43, 67, 48, 65, 55, 38, 52, 56, 41}
Sort the data values from smallest to largest to get
</span><span>{38, 41, 43, 46, 48, 52, 53, 54, 55, 56, 60, 62, 65, 67, 70}
</span>
Now find the middle most value. This is the value in the 8th slot. The first 7 values are below the median. The 8th value is the median itself. The next 7 values are above the median.
The value in the 8th slot is 54, so this is the median
Divide the sorted data set into two lists. I'll call them L and U
L = {<span>38, 41, 43, 46, 48, 52, 53}
U = {</span><span>55, 56, 60, 62, 65, 67, 70}
they each have 7 items. The list L is the lower half of the sorted data and U is the upper half. The split happens at the original median (54).
Q3 will be equal to the median of the list U
The median of U = </span>{<span>55, 56, 60, 62, 65, 67, 70} is 62 since it's the middle most value.
Therefore, Q3 = 62
Answer: 62</span>
(3x+2) (x-7)
FOIL
first 3x*x = 3x^2
outer 3x*-7 = -21x
inner = 2*x = 2x
last 2*-7 = -14
add them together = 3x^2 -21x+2x -14
combine like terms 3x^2 -19x -14
