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3 years ago

The difference of two numbers is 6 and their product is 55 what are the two numbers

1 answer:

4 0

Let one number be x.
The other number is x-6

Product of the number is 55
x(x-6) = 55
x² - 6x - 55 = 0
<span> (x + 5)(x - 11) = 0
</span>x = -5 or x = 11

x = -5
x - 6 = -11

x = 11
x - 6 = 5

Answer: The two numbers are either -5 and -11 or 5 and 11.

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2 years ago

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1. Pretend that in a certain city the number of new cases of a virus was reported to be 800 new cases on Sunday. Let’s pretend t

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The number of new cases be on Thursday after all of this growth and falling is 956.

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An equation is an expression that shows the relationship between two or more variables and numbers.

There are initially 800 cases, hence:

Number of cases on Monday = 1.15 * 800 = 920

Number of cases on Tuesday = 1.05 * 920 = 966

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1 year ago

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The measure of angle B is 54°. The measure of angle A is 51°. The measure of angle AFE is 47°.

According to exterior angle theorem: It a triangle

Exterior angle = Sum of opposite interior angles

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3 years ago

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You have measured the systolic blood pressure of a random sample of 25 employees of a company located near you. A 95% confidence

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Answer:

$122 \leq \mu \leq 138$

The 95% confidence interval would be given by (122;138)

And the correct interpretation for this case is:

c. If the procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure.

Step-by-step explanation:

Previous concepts

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 % where by a population means 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.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=25-1=24$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,24)".And we see that $t_{\alpha/2}=2.06$