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:
Part A 73 Part B 113
Step-by-step explanation:
p → q represents the original conditional statement and the contrapositive of the original conditional statement. Then the correct options are A and E.
The missing options are given below.
<h3>What is dilation?</h3>
Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
There is no effect of dilation on the angle.
Doubling the dimensions of a rectangle increases the area by a factor of 4.
If p represents doubling the dimensions of a rectangle and q represents the area increasing by a factor of 4.
Then the true statement will be
Then the correct options are A and E.
More about the dilation link is given below.
brainly.com/question/2856466
#SPJ1
My teacher always taught me to set these problems up like a proportion
is / of = % / 100
24/ x = 16 / 100
16x = 2,400
Divide 2,400 by 16 and you get 150.
150 is the correct answer.