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shtirl [24]
3 years ago
7

26 + 58 rounded to the nearest ten​

Mathematics
2 answers:
Tanya [424]3 years ago
4 0

Answer:

80

Step-by-step explanation:

slamgirl [31]3 years ago
3 0

Answer:

80

Step-by-step explanation:

26+58=84

Rounded=80

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A researcher reports survey results by stating that the standard error of the mean is 25 the population standard deviation is 40
bezimeni [28]

Answer:

a) A sample of 256 was used in this survey.

b) 45.14% probability that the point estimate was within ±15 of the population mean

Step-by-step explanation:

This question is solved using the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

a. How large was the sample used in this survey?

We have that s = 25, \sigma = 400. We want to find n, so:

s = \frac{\sigma}{\sqrt{n}}

25 = \frac{400}{\sqrt{n}}

25\sqrt{n} = 400

\sqrt{n} = \frac{400}{25}

\sqrt{n} = 16

(\sqrt{n})^2 = 16^2[tex][tex]n = 256

A sample of 256 was used in this survey.

b. What is the probability that the point estimate was within ±15 of the population mean?

15 is the bounds with want, 25 is the standard error. So

Z = 15/25 = 0.6 has a pvalue of 0.7257

Z = -15/25 = -0.6 has a pvalue of 0.2743

0.7257 - 0.2743 = 0.4514

45.14% probability that the point estimate was within ±15 of the population mean

3 0
3 years ago
If a pine tree grows 3 inches per year,how long will it take for the tree to reach a height of 8 feet
vichka [17]

Answer:

32 years

Step-by-step explanation:

8x12 because there are 12 inches in a foot

8x12=96

96/3

96/3=32

4 0
2 years ago
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31% of 62 what is it i have been suffering
natita [175]
I’m pretty sure it’s 50%
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2 years ago
Is the function represented by the table non-linear?
Vladimir79 [104]

Answer:

Step-by-step explanation:

Yes because it has a constant rate of change

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Light travels at 3.0 x 108 km/s. How far does light travel in 5 minutes?
masya89 [10]
3.0 x 10^8 km/s is how far light travels.
3.0 x 10^8 km/s x 60s is how far light travels in a minute
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