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9966 [12]
3 years ago
12

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
B) bias
C) nonsampling error
D) confounding
E) a sampling frame that is incomplete
Mathematics
1 answer:
Leni [432]3 years ago
8 0

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.

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Elenna [48]

Answer:

E and F

Step-by-step explanation:

Using the rule of exponents

a^{m} × a^{n} ⇔ a^{m+n} , then

5^{4} × 5^{x} = 5^{4+x}  → F

or

5^{4} × 5^{x} = 625 × 5^{x} → E

8 0
3 years ago
16 meters of rope, i want to cut pieces of rope 0.2meters long. how many pieces can cut?​
Kobotan [32]

Answer:

80

Step-by-step explanation:

because 16 decided by 0.2 is 80

hope this helps!!!!

5 0
3 years ago
HELP!!!!!! I believe its B but I am not sure! :(
n200080 [17]

Answer:

A

Step-by-step explanation:

When solving for x as an exponent, we need to use logarithms in order to undo the operation and rearrange the terms. We use log rules to bring down the exponent and solve. Logarithms are the inverse operations to exponents and vice versa. We have one special kind of logarithm called the natural logarithm whose base is e. We write it as ln. Since our base is e here, we will use the natural logarithm to rearrange and isolate x.

e^{4x-1} =3

We begin by applying the natural logarithm to each side.

ln(e^{4x-1}) =ln(3)

Log rules allow use to rearrange the exponent as multiplication in front of the log.

(4x-1)ln(e) =ln(3)

ln e as an inverse simplifies to 1.

(4x-1)(1)=ln(3)

We now apply the inverse operations for subtraction and multiplication.

4x-1+1=1+ln(3)\\4x=1+ln(3)\\\frac{4x}{4} =\frac{1+ln3}{4} \\x =\frac{1+ln3}{4}

Option A is correct.

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