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blsea [12.9K]
3 years ago
9

−2 1/2 ÷ 6 =?

Mathematics
1 answer:
Artist 52 [7]3 years ago
8 0
-2 1/2 ÷ 6
= -(5/2) ÷ 6/1
= -(5/2) × 1/6
=-(5/12)
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Quadrilateral ABCD is dilated by a scale factor of 1 over 2 centered around (2, 2). Which statement is true about the dilation?
Musya8 [376]

Answer:

Option (1)

1) Segment B'D' will run through (2, 2) and will be shorter than segment BD.

Step-by-step explanation:

The rest of the question is the attached figure (1).

The statement options are:

1) Segment B'D' will run through (2, 2) and will be shorter than segment BD.

2) Segment B'D' will run through (2, 2) and will be longer than segment BD.

3) Segment B'D' will parallel to segment BD and will be shorter than segment BD.

4) Segment B'D' will be parallel to segment BD and will be longer than segment BD.

==============================================================

See the attched figure (2), which represents Quadrilateral ABCD and the image A'B'C'D'

As shown:

The quadrilateral ABCD with vertices A(1,2), B(2,3), C(4,2) and D(2,1).

Quadrilateral ABCD is dilated by a scale factor of 1 over 2 centered around (2, 2).

So,

The quadrilateral A'B'C'D' will be with vertices:

A'= (1.5,2), B'= (2,2.5), C'= (3,2), D'= (2,1.5)

Comparing the options with the figure (2):

So, the answer is option (1)

1) Segment B'D' will run through (2, 2) and will be shorter than segment BD.

6 0
3 years ago
What is the best next step in the construction of the perpendicular bisector of AB?
Vladimir79 [104]

Answer:

This construction shows how to draw the perpendicular bisector of a given line segment with compass and straightedge or ruler. This both bisects the segment (divides it into two equal parts, and is perpendicular to it. It finds the midpoint of the given line segment.

6 0
3 years ago
A box contains 5 plain pencils and 3 pens. A second box contains 4 color pencils and 4 crayons. One item from each box is chosen
LekaFEV [45]

Answer:

3/16

Step-by-step explanation:

3/8 * 4/8= 3/16

3/8= 3 pens out of 8 items

4/8= 4 crayons out of 8 items

7 0
3 years ago
The low temperatures last week, in degrees Fahrenheit, were 30, 35, 40, 41, 42, 45, and 47.
puteri [66]
<h3>Answer:</h3>

40

<h3>Step-by-step explanation:</h3>

The average of a data set is the number "in the middle" of all of the numbers. This is a measurement of the center of a data set. Another word for average is mean.

How to Calculate the Average

The average or mean is calculated by adding all of the values together. Then, divide this sum by the number of data points. For example, if the sum of 5 different data points is 10, then the average would be 10/5.

Finding the Average

Now, let's find the average of this specific data set. First, add all of the data together.

  • 30+35+40+41+42+45+47 = 280

Then, count the number of terms. There are 7 different terms within this data set. So, next divide the sum by the number of terms.

  • 280/7 = 40

This means that the average of the set is 40.

Other Measurements of Center

The mean is not the only measurement of center. There are 3 common measures of center.

  • The mean is found by adding all the terms and then dividing by the number of terms.
  • Another measurement is the median is found by ordering the terms from least to greatest, and then taking whatever number is left in the middle. The median of this set is 41.
  • Finally, the mode is the term that appears the most often. Many times there can be more than one mode. This set has no real mode because all of the terms only appear once.
7 0
1 year ago
A manufacturing firm tests job applicants. Test scores are normally distributed with a mean of 500 and a standard deviation of 5
Blababa [14]

Answer:

The probability that the candidate score is 600 or greater

P(X≥ 600 ) = 0.0228

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given mean of the Population = 500

Given standard deviation of the Population = 50

Let 'X' be the random variable in normal distribution

Given  X = 600

Z = \frac{x-mean}{S.D} = \frac{600-500}{50} = \frac{100}{50} =2

<u><em>Step(ii)</em></u>:-

The probability that the candidate score is 600 or greater

P(X≥ 600 ) = P(z≥2)

                  = 0.5 - A(2)

                 = 0.5 -0.4772

                = 0.0228

<u><em>Final answer</em></u>:-

The probability that the candidate score is 600 or greater

P(X≥ 600 ) = 0.0228

5 0
2 years ago
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