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Vinil7 [7]
3 years ago
14

Select True or False from each pull-down menu, depending on whether the corresponding statement is true or false.

Mathematics
1 answer:
Nina [5.8K]3 years ago
5 0

Answer:

1) FALSE

2) FALSE

3) TRUE

4) TRUE

Step-by-step explanation:

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Part 1

The mean and standard deviation of a normally distributed random variable which has been standardized are one and zero, respectively.

The mean and the deviation for  the normal standard distribution are:

\mu=0, \sigma =1

So then that's FALSE.

Part 2

Using the standard normal curve, the z−score representing the 10th percentile is 1.28.

We are looking for a value a, that satisfy this:

P(X>a)=0.90   (a)

P(X   (b)  

We can find a z value that satisfy the condition with 0.10 of the area on the left and 0.90 of the area on the right it's z=-1.28. On this case P(Z<-1.28)=0.10 and P(Z>-1.28)=0.90

So that's FALSE.

Part 3

Let z1 be a z−score that is unknown but identifiable by position and area. If the symmetrical area between −z1 and +z1 is 0.9544, the value of z1 is 2.0

If we find this probability:

P(-2.0< Z

So on this case we can approximate to 0.9544. And that's TRUE.

Part 4

Using the standard normal curve, the z−score representing the 75th percentile is 0.67.

We are looking for a value a, that satisfy this:

P(X>a)=0.25   (a)

P(X   (b)  

We can find a z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.67. On this case P(Z<0.67)=0.75 and P(Z>0.67)=0.25

So that's TRUE.

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VikaD [51]

Answer:

tan A = 28/45

Step-by-step explanation:

                                                                        opposite side

the tangent function is defined as tan A = ------------------------

                                                                        adjacent side

Here the length of the side opposite angle A is 28 and that of the side adjacent to A is 45.  Thus, the tangent of angle A is

tan A = 28/45

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3 years ago
Find the coordinates of the midpoint of a segment with the given endpoints. A (-1, 4) and B (-5, -2)
ANEK [815]

Step-by-step explanation:

solution,

midpoint between A(-1,4) and B(-5,-2)=

(X1 + X2 ÷2, Y1 + Y2 ÷2)

=(-1-5÷2 , 4-2)

=(-6÷2 ,2÷2)

=(-3 , 1)

therefore the midpoint between A(-1,4) and B(-5 ,-2)=(-3,1)

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3 years ago
Use the graph to find the indicated value of the unction.<br> '여<br> f(-4) =
ziro4ka [17]

 

From the graph  ⇒  f(-4) = -8

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Richard's bakery sold 7 triple-chocolate birthday cakes in six weeks for 60 dollars each. The price of each cake was five times
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2 years ago
How to find the area of a polygon
Lelechka [254]

Answer:

Calculating the area of a polygon can be as simple as finding the area of a regular triangle or as complicated as finding the area of an irregular eleven-sided shape. If you want to know how to find the area of a variety of polygons, just follow these steps.

Step-by-step explanation:

1.) Write down the formula for finding the area of a regular polygon. To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem.[1] Here is what it means:

Perimeter = the sum of the lengths of all the sides

Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side

2.)  Find the apothem of the polygon. If you're using the apothem method, then the apothem will be provided for you. Let's say you're working with a hexagon that has an apothem with a length of 10√3.

3.)  Find the perimeter of the polygon. If the perimeter is provided for you, then you're nearly done, but it's likely that you have a bit more work to do. If the apothem is provided for you and you know that you're working with a regular polygon, then you can use it to find the perimeter. Here's how you do it:

Think of the apothem as being the "x√3" side of a 30-60-90 triangle. You can think of it this way because the hexagon is made up of six equilateral triangles. The apothem cuts one of them in half, creating a triangle with 30-60-90 degree angles.

You know that the side across from the 60 degree angle has length = x√3, the side across from the 30 degree angle has length = x, and the side across from the 90 degree angle has length = 2x. If 10√3 represents "x√3," then you can see that x = 10.

You know that x = half the length of the bottom side of the triangle. Double it to get the full length. The bottom side of the triangle is 20 units long. There are six of these sides to the hexagon, so multiply 20 x 6 to get 120, the perimeter of the hexagon.

4.) Plug the apothem and the perimeter into the formula. If you're using the formula area = 1/2 x perimeter x apothem, then you can plug in 120 for the perimeter and 10√3 for the apothem. Here is what it will look like:

area = 1/2 x 120 x 10√3

area = 60 x 10√3

area = 600√3

5.)  Simplify your answer. You may need to state your answer in decimal instead of square root form. Just use your calculator to find the closest value for √3 and multiply it by 600. √3 x 600 = 1,039.2. This is your final answer.

(Source: https://www.wikihow.com/Calculate-the-Area-of-a-Polygon)

5 0
3 years ago
Read 2 more answers
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