Answer:
a = ln 35
Step-by-step explanation:
Given e^a = 35, take the natural log of both sides, obtaining:
ln e^a = ln 35. Recall that ln e^x = x, which means that ln e^a = a.
Then a = ln 35.
Next time, please share the answer choices!
First subtract 9/4 from each side
1/2b=-2/4
Simplify the 2/4
1/2b=-1/2
Divide each side by 1/2
b = -1
Answer:
x = (-16)/43
Step-by-step explanation:
Solve for x:
(-5 x)/4 - 2 = -2 (6 x + 3)
Put each term in (-5 x)/4 - 2 over the common denominator 4: (-5 x)/4 - 2 = (-5 x)/4 - 8/4:
(-5 x)/4 - 8/4 = -2 (6 x + 3)
(-5 x)/4 - 8/4 = (-5 x - 8)/4:
(-5 x - 8)/4 = -2 (6 x + 3)
Multiply both sides by 4:
(4 (-5 x - 8))/4 = -2×4 (6 x + 3)
(4 (-5 x - 8))/4 = 4/4×(-5 x - 8) = -5 x - 8:
-5 x - 8 = -2×4 (6 x + 3)
4 (-2) = -8:
-5 x - 8 = -8 (6 x + 3)
Expand out terms of the right hand side:
-5 x - 8 = -48 x - 24
Add 48 x to both sides:
48 x - 5 x - 8 = (48 x - 48 x) - 24
48 x - 48 x = 0:
48 x - 5 x - 8 = -24
48 x - 5 x = 43 x:
43 x - 8 = -24
Add 8 to both sides:
43 x + (8 - 8) = 8 - 24
8 - 8 = 0:
43 x = 8 - 24
8 - 24 = -16:
43 x = -16
Divide both sides of 43 x = -16 by 43:
(43 x)/43 = (-16)/43
43/43 = 1:
Answer: x = (-16)/43
Answer:
Option A is right
Step-by-step explanation:
Given that approximately 52% of all recent births were boys. In a simple random sample of 100 recent births, 49 were boys and 51 were girls. The most likely explanation for the difference between the observed results and the expected results in this case is
A) variability due to sampling
-- True because there is a slight difference whichmay be due to sampling fluctuations.
B) bias
False because given that 100 random births selected
C) nonsampling error
False. There is no chance for systematic error here.
d) Confounding: There is no confounding variable present inchild birth since each is independent of the other
e) a sampling frame that is incomplete
False because the sampling is done correctly.