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3 years ago

Solve for x in the equation x2 – 12х+ 36 = 90

Mathematics

1 answer:

Leviafan [203]3 years ago

5 0

Answer:

Step-by-step explanation:

90-36=54

54-24=30

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James is putting a fence around his square yard. The area of his yard is 100 square feet. How much fencing does James need in to

gtnhenbr [62]

Answer:

40 ft.

Step-by-step explanation:

Because James's yard is a square, we can take the square root of the area to find the side length. The square root of 100 is 10, so we know that one side of his yard will require 10 feet of fencing. Since the yard has 4 sides, we simply need to do 4 * 10 = 40 ft of fencing.

Hope this helps!

3 0

3 years ago

Required information An article presents a new method for timing traffic signals in heavily traveled intersections. The effectiv

Natasha2012 [34]

Answer:

$652.6-2.01\frac{311.7}{\sqrt{50}}=563.997$

$652.6+2.01\frac{311.7}{\sqrt{50}}=741.203$

So on this case the 95% confidence interval would be given by (563.997;741.203)

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 % whereby 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".

$\bar X=652.6$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s=311.7 represent the sample standard deviation

n=50 represent the sample size

Soltuion 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:

$df=n-1=50-1=49$

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(0.025,49)".And we see that $t_{\alpha/2}=2.01$

Now we have everything in order to replace into formula (1):

$652.6-2.01\frac{311.7}{\sqrt{50}}=563.997$

$652.6+2.01\frac{311.7}{\sqrt{50}}=741.203$

So on this case the 95% confidence interval would be given by (563.997;741.203)

6 0

3 years ago

Subtract. −3 3/8−7/8 Enter your answer, in simplest form, in the box.

sp2606 [1]

Answer:

-4 1/4

Step-by-step explanation:

7 0

3 years ago

What's the product of 3 2/3 and 14 2/5 ? A. 52 4/5 B. 52 4/15 C. 54 D. 42 4/5

wlad13 [49]

Answer:

52 4/5

Have a nice day! :)

4 0

3 years ago

What is the equation for an explicit formula

umka21 [38]

It defines the sequence as a formula in terms of n. ... Sequence: {10, 15, 20, 25, 30, 35, ...}. Find an explicit formula. This example is an arithmetic sequence(the same number, 5, is added to each term to get to the next term).

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3 years ago