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3 years ago

What is the point called where the perpendicular bisectors of the sides of a triangle intersect

1 answer:

6 0

Answer: Circumcenter

This is the center of the circle that goes through the three vertices of the triangle. This circle is known as the circumcircle. It is the smallest circle possible in which the circle encompasses the triangle and none of the triangle spills outside the circle.

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The seventh grade class is raising money to have a class trip at the end of the year. They began the year with $2,500. Now they

Lubov Fominskaja [6]

Answer:

21.6%

Step-by-step explanation:

7 0

2 years ago

Need help quickly its hard

kaheart [24]

Answer:

1-3x+8y

Step-by-step explanation:

Multiply y and 2

Multiply y and 1

The y just gets copied along.

2*y evaluates to 2y

Multiply x and 4

Multiply x and 1

The x just gets copied along.

The answer is x

4*x evaluates to 4x

2*y-4*x evaluates to 2y-4x

The answer is 2y-4x+8

2*y-4*x+8 evaluates to 2y-4x+8

Multiply y and 6

Multiply y and 1

The y just gets copied along.

The answer is y

6*y evaluates to 6y

2y + 6y = 8y

The answer is 8y-4x+8

2*y-4*x+8+6*y evaluates to 8y-4x+8

-4x + x = -3x

The answer is -3x+8y+8

2*y-4*x+8+6*y+x evaluates to -3x+8y+8

8 - 7 = 1

The answer is 1-3x+8y

2*y-4*x+8+6*y+x-7 evaluates to 1-3x+8y

6 0

3 years ago

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

Alla [95]

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 $t_{\alpha/2}=2.06$

Now we have everything in order to replace into formula (1), for this case we got:

$122 \leq \mu \leq 138$

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.

6 0

3 years ago

2. The 7th term of an A.P is 27 and the 12th term is 47, what is the sequence?

Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

let r be the common differenc of the sequence

Term 12 - Term 7 = (12 - 7)r

then

47 - 27 = 5r

then

20 = 5r

then

r = 4

term 7 = term 1 + (7 - 1)r

then

27 = term 1 + 6r = term 1 + 24

then

Term1 = 27 - 24 = 3

<em><u>therefore </u></em>

the standard explicit formula of the sequence is :

term 1 + (n - 1)r = 3 + 4(n - 1)

8 0

3 years ago

4. What is the potential energy of the bowling ball as it sits on top of the building?

Sidana [21]

Answer:

gravitational Potential Energy

Step-by-step explanation:

6 0

3 years ago

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