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If x/5 +6=-14,then x=

Otrada [13]

Answer: x= -100

Step-by-step explanation:

X/5=-14-6

X/5=-20

X=-100

3 0

2 years ago

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On a map, 1 inch equals 20 miles. Two cities are 8 inches apart on the map. What is the actual distance between the cities?

8_murik_8 [283]

If 1 inch equals 20miles then 8 inches equals 20 x 8 = 160 miles.

6 0

3 years ago

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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

In the context of relationships between variables, increases in the values of one variable are accompanied by increases in the v

TiliK225 [7]

Answer: Directly proportional.

Step-by-step explanation:

The increase of one variable which causes the other variable to increase points to a directly proportional relationship between the two variables. Similarly, the decrease of one variable will cause a decrease in the other variable.

One variable can also be the constant multiple of the other. This means that if one changes, the other one will change in PROPORTION to it.

5 0

3 years ago

Which is true for

IceJOKER [234]

Hi!

Your answer is C.

The vertex is the point where two different rays meet, forming an angle.

It can also simply be the point where 2 straight lines simply meet.

Option A is NOT correct because a vertex is not angle, it is a <em>part </em>of an angle.

Option B is NOT correct because, if there's only one segment, we cannot form a vertex.

See the image below for an example:

5 0

1 year ago

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