Let us say that:
x = cost of shorts
y = cost of slacks
z = cost of sports coat
From the given statements, we can create the following
equations:
eqtn 1: 3 x + y =
10.96
eqtn 2: 7 x + 2 y +
z = 30.40
eqtn 3: 4 x + z =
14.45
Rewrite eqtn 1 explicit to y:
y = 10.96 – 3 x -->
eqtn 4
Rewrite eqtn 3 explicit to z:
z = 14.45 – 4x -->
eqtn 5
Plug in the values of y (eqtn 4) and z (eqtn 5) to eqtn
2:
7 x + 2 (10.96 – 3 x) + 14.45 – 4 x = 30.40
7 x + 21.92 – 6 x + 14.45 – 4 x = 30.40
- 3 x + 36.37 = 30.40
- 3 x = - 5.97
x = 1.99
Eqtn 4:
y = 10.96 – 3 x
y = 10.96 – 3 (1.99)
y = 4.99
Eqtn 5:
z = 14.45 – 4x
z = 14.45 – 4 (1.99)
z = 6.49
Therefore each shirt cost $1.99, each slacks cost $4.99,
and each sports coat cost $6.49.
<span> </span>
The mean of the dataset is the average, while the median is the middle element.
- <em>The mean and the median of the given dataset is 98.2</em>
- <em>The results support the common belief that the mean body temperature is 98.6F</em>
<em />
The mean of the dataset is calculated using:
So, we have:
The median position is:
This means that the median is the average of the 24th and 25th element
Using the sorted dataset, we have:
<em>Because the calculated mean and the common belief (98.6) are close, then we can conclude that the results support the common belief that the mean body temperature is 98.6F</em>
<em />
Read more about mean and median at:
brainly.com/question/17060266
Answer:
f(3) = 12
Step-by-step explanation:
f(x) = 2x - 12 + 2x²
f(3) = 2(3) - 12 + 2(3)²
f(3) = 6 - 12 + 2(9)
f(3) = -6 + 18
f(3) = 12
Remember that x=3 is being substituted into the equation, so you can apply this to any function rule problem for any value of x.
Step-by-step explanation:
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Answer:
Correct answer's the top one
Step-by-step explanation:
Think of powers of 10. Each power is 10 times larger or smaller than the last one. So in this instance, the bacterium has a diameter of 10^-6 which is 1 millionth. And then there's the virus, which has a diameter of 10^-7 which is 1 ten millionth. So basically, take 10^-7 and times that by 10. This gives you 10^-6, which can only mean that the bacterium is 10 times <u>bigger</u> than the virus, which is the answer on top.