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Lelu [443]
1 year ago
8

What is the value of the logarithm? ln(52) round the answer to the nearest ten thousandth. Enter your answer in the box.

Mathematics
1 answer:
olya-2409 [2.1K]1 year ago
4 0

After finding out the value of ln (52) and rounding value it to the nearest ten thousandth, we have the value as 3.9512.

Given logarithm function is ln (52).

We have to find out the value of the logarithm by rounding it to the nearest ten thousandth.

The easiest way to do this is to make use of a calculator where we can put the value of natural log.

After putting ln (52) in the calculator, we have

ln (52) = 3.951243719

In order to round the answer of ln (52) to the nearest ten thousandth, we have to first check if the number after the ten thousandth one is greater than 5 or if it is not.

Here, the ten thousandth number is 2. The number after the ten thousandth one is 4 which is less than 5. So, there will be no increase in the ten thousandth number.

Therefore, rounding the value of ln (52) to the nearest ten thousandth, we have the value as 3.9512.

To learn more about rounding values visit brainly.com/question/14200883

#SPJ4

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A test of H0: p = 0.5 versus Ha: p > 0.5 has the test statistic z = 1.15. Part A: What conclusion can you draw at the 5% sign
Nadya [2.5K]

Answer:

Part A: The null hypothesis failed to be rejected.

Part B: The null hypothesis failed to be rejected.

Step-by-step explanation:

We have an hypothesis test with null and alternative hypothesis H0: p = 0.5 versus Ha: p > 0.5, which has the test statistic z=1.15.

Part A: If the significance level is 0.05, the conclusion depends on the P-value.

If the P-value is below 5%, the null hypothesis is rejected.

The P-value for this right-tailed tes and z=1.15 is:

P-value=P(z>1.15)=0.125

The P-value is bigger than the significance level, so the effect is not significant and the null hypothesis is failed to be rejected.

Part B: In this case, the significance level is 0.01 and, as the alternative hypothesis is defined with an unequal sign, the test is two-tailed.

This changes the way we calculate the P-value, as we need to compute the two tails.

The P-value is:

P-value=2P(z>1.15)=0.25

The P-value is bigger than the significance level, so the effect is not significant and the null hypothesis is failed to be rejected.

5 0
3 years ago
You purchased a rare painting for $150 that is increasing in value by 3% annually. How many years will it take until it is doubl
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Answer:

23 years.

Step-by-step explanation:

It is given that the initial price of painting is $150 and its values increasing by 3% annually.

We need to find how many years will it take until it is doubled in value.

The value of painting after t years is given by

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y=150(1.03)^t

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Divide both sides by 150.

2=(1.03)^t

Taking log both sides.

\log 2=\log (1.03)^t

\log 2=t\log (1.03)

t=\dfrac{\log 2}{\log (1.03)}

t=23.44977

t\approx 23

Therefore, the required number of years is 23.

6 0
3 years ago
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