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3 years ago

100- 58.90 is equal to what

Mathematics

2 answers:

Radda [10]3 years ago

6 0

Answer:

41.1

Step-by-step explanation:

use calculator

UNO [17]3 years ago

6 0

100- 58.90 is equal to 41.10

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Based on the data what what is a reasonable estimate of the probability that the next customer

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Answer:

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3 years ago

Use common sense to determine whether the given event is impossible; possible, but very unlikely; or possible and likely. Andre

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3 years ago

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The perimeter of a rectangular building is 1200 feet. The width of the building is 2 feet less than three times the length. What

juin [17]

Given:

The perimeter of a rectangular building is 1200 feet.

The width of the building is 2 feet less than three times the length.

To find:

Width of the building.

Solution:

Let length of the building be x.

Then, width = 3x-2

We know that,

$Perimeter=2(length +width)$

$1200=2(x+3x-2)$

$1200=2(4x-2)$

$1200=8x-4$

Add 4 on both sides

$1204=8x$

Divide both sides by 8.

$\dfrac{1204}{8}=x$

$150.5=x$

Now,

$Width=3x-2$

$Width=3(150.5)-2$

$Width=451.5-2$

$Width=449.5$

Therefore, the width of the building is 449.5 feet.

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3 years ago

A random sample of 100 teletype operators indicates that their salaries fluctuate quite a bit. The sample Standard deviation of

ELEN [110]

Answer:

$\frac{(99)(10)^2}{123.225} \leq \sigma^2 \leq \frac{(99)(10)^2}{77.046}$

$80.341 \leq \sigma^2 \leq 128.495$

Now we just take square root on both sides of the interval and we got:

$8.963 \leq \sigma \leq 11.336$

Step-by-step explanation:

Data given and notation

s=10 represent the sample standard deviation

$\bar x$ represent the sample mean

n=100 the sample size

Confidence=90% or 0.90

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=100-1=99$

Since the Confidence is 0.90 or 90%, the value of $\alpha=0.1$ and $\alpha/2 =0.05$ , and we can use excel, a calculator or a table to find the critical values.