Factor the expression below.

Mathematics

1 answer:

Iteru [2.4K]3 years ago

5 0

Answer:

A. $\displaystyle (x - 5)^2$

Step-by-step explanation:

Find two quantities that when added to −10, they are also multiplied to 25, and that number is a double −5.

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Gabriel finds some wooden boards in the backyard with lengths of 5 feet, 2.5 feet and 4 feet. He decides he wants to make a tria

Viktor [21]

Answer:

5 + 2.5 > 4 feets

4 + 5 > 2.5 feets

2.5 + 4 > 5 feets

Step-by-step explanation:

The triangle states that :

The sum of any 2 sides of a triangle must be greater than the third side

Side Given are :

5feets ; 2.5 feets ; 4 feets

In other to obey the triangle rule :

5 + 2.5 > 4 feets

4 + 5 > 2.5 feets

2.5 + 4 > 5 feets

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An automatic filling machine is used to fill bottles with liquid detergent. A random sample of 18 bottles results in a sample st

Nookie1986 [14]

Answer:

$\frac{(17)(0.038)^2}{32.64} \leq \sigma^2 \leq \frac{(17)(0.038)^2}{6.66}$

$0.0008 \leq \sigma^2 \leq 0.0037$

Step-by-step explanation:

Data given and notation

s=0.038 represent the sample standard deviation

$\bar x$ represent the sample mean

n=18 the sample size

Confidence=97.5% or 0.975

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:

$df=n-1=18-1=17$

Since the Confidence is 0.975 or 97.5%, the value of $\alpha=0.025$ and $\alpha/2 =0.0125$ , and we can use excel, a calculator or a table to find the critical values.