Answer:
No
Mean diameter = 44, which is in the 40 - 44 cm group
Step-by-step explanation:
Given the data:
Diameter (cm) - mid point(X) - frequency(F) - - FX
35-39 - - - - 37 - - - - 8 - - 296
40-44 - - - 42 - - - 10 - - - 420
45-49 - - - 47 - - - 13 - - - 611
50-54 - - - 52 - - - 3 - - - 156
55-59 - - - 57 - - - 1 - - - 57
Mean of grouped data:
Sum of (F × X) / sum of F
1540 / 35 = 44
Differentiating the function
... g(x) = 5^(1+x)
we get
... g'(x) = ln(5)·5^(1+x)
Then the linear approximation near x=0 is
... y = g'(0)(x - 0) + g(0)
... y = 5·ln(5)·x + 5
With numbers filled in, this is
... y ≈ 8.047x + 5 . . . . . linear approximation to g(x)
Using this to find approximate values for 5^0.95 and 5^1.1, we can fill in x=-0.05 and x=0.1 to get
... 5^0.95 ≈ 8.047·(-0.05) +5 ≈ 4.598 . . . . approximation to 5^0.95
... 5^1.1 ≈ 8.047·0.1 +5 ≈ 5.805 . . . . approximation to 5^1.1
Answer:
That pretty cute
Step-by-step explanation:
Answer:
x = 8 units, measure of angle AFE = 60 degrees, measure of angle CFD = 60 degrees
Step-by-step explanation:
Finding x:
You know all three of the given measures add up to 180 because they are on the same side of the line. Write an equation and solve for x.
6x + 2 + 8x + 6 + 7x + 4 = 180
21x = 168 --> x = 8
Angle AFE:
Substitute the value of x in the given measure.
7x + 4 = 7*8 + 4 = 56 + 4 = 60
Measure of angle CFD:
Angle AFE is it's vertical angle, so their measures (60 degrees) are equal.
Add. I’m not sure because there is a - besides the 15.
Explanation - 12 + 15 = 27.
Hopefully this helps. Have a blessed one. God loves you. ☺️
