Answer:
Step-by-step explanation:
Find the midpoint of each frequency range, multiply that number by the frequency, sum up and divide by the total frequency.
This will give the mean number.
<u>The mean is:</u>
- [17*( 3 + 3.5)/2 + 21*(3.5 + k)/2 + 33*(k + 4)/2 + 54*(4 + 4.5)/2 + 15*(4.5 + 6)/2]/140 = 4.09
- 55.25 + 10.5k + 36.75 + 16.5k + 66 + 229.5 + 78.75 = 140*4.09
- 17k + 466.25 = 572.6
- 17k = 572.6 - 466.25
- 17k = 106.35
- k = 106.35/17
- k = 6.26
Note, I expected the value of k between 3.5 and 4. This is a bit of illogical outcome.
Answer:
15degrees
Step-by-step explanation:
From the given diagram
<1+<2 + <DCB = 180
<1+<2+120 = 180
<1+<2 = 180 - 120
<1+<2 = 60
<2 = 60 - <1
<2 = 60 - 45
<2 = 15degrees
Hence the measure <2 is 15degree
We have
As we can see in order to find the shaded area of the figure, we only need to calculate the area of a square.
the shaded area is 400 mm^2
For this case we have the following number:
2.25 x 10-4
We observe that it is written in exponential notation.
The exponent is negative, therefore, we must move the point to the left.
We have then:
2.25 x 10-4 = 0.000225
Answer:
0.000225
