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Tatiana [17]
3 years ago
8

Please can anyone help me please ​

Mathematics
2 answers:
yanalaym [24]3 years ago
5 0

Answer:

700,000

Step-by-step explanation:

okay so to increase something by 7% you have to multiply it by 1.07

so if you divide it by 1.07, you'll find the original price

749,000 ÷ 1.07 = 700,000

barxatty [35]3 years ago
4 0

v + 7%×v = 749000

v + 7v/100 = 749000

100v + 7v = 74900000

107v = 74900000

v = 74900000 : 107

v = £ 700000

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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
How is using partial products to find the product of two 2-digit factors different and similar
Ierofanga [76]
It is different because you are doing a different method to complete the problem.  It is the same because it ends up with the same answer, provided you complete the process correctly.
3 0
3 years ago
A suit regularly cost 375.95 cents Bob buys it on sale for 268.35 cents how much does he save
Stolb23 [73]

Hello, all we need to do in this case to subtract the amount of money Bob paid for the suit from the amount of money the suit regularly costs. So:

375,95 - 268,35 = 107,6

Bob saves 107,6$.

7 0
2 years ago
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lesya692 [45]
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Answer:

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Step-by-step explanation:

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