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boyakko [2]
3 years ago
10

(3/2)x - -4 =13 what is x?

Mathematics
1 answer:
olchik [2.2K]3 years ago
4 0

Answer:

x=6

Step-by-step explanation:

(3/2)x - -4 =13

(3x/2)+4=13

Make 3x/2 the subject

3x/2=13-4

3x/2=9

Cross multiply

3x=9(2)

Divide both sides by 3

3x/3= 9(2)/3

x=3(2)

x=6

To check if correct, substitute x for 6 in the equation. And both sides of the equation must be equal

(3/2)x - -4 =13

(3/2)6 - -4 =13

18/2+4=13

9+4=13

13=13

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Answer:

slope = 4

Step-by-step explanation:

According to the graphic the line passes through the two points A(-1 , 0) and B(0 , 4)

\Longrightarrow \text{slope} =\frac{\text{rise} }{\text{run} } = \frac{4 - 0}{0 - (-1)} = \frac{4}{1} = 4

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Can you explain the difference between regular and irregular polygons? How is finding the area different? Be prepared to give an
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Answer:

 

Step-by-step explanation:

The difference between regular and irregular polygons:

Regular polygons

1. All sides and all the interior angles of the regular polygon are equal.

2. Since, all the interior angles are less than 180°, therefore they are convex in nature.

Irregular polygons:

1.Either the sides are not congruent, or the  interior angles are not congruent, or both the sides  and the interior angles are not congruent.

2. Since, one or more of the interior angles are greater than 180°, therefore they may be either concave or convex.

Finding the area for both regular and irregular polygons is different.

In case of regular polygon, it is equilateral and equiangular, we use a segment that joins the polygon’s center to the midpoint of any side and that is perpendicular to that side(APOTHEM) to find the area that is:

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But, in case of irregular polygons, finding the area is quite difficult unless we know the coordinates of the vertices as each side and angle can be different.

Examples:

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4 years ago
Blanca runs 8 laps around the track each day to train for an endurance race. She times each lap to practice her pacing for the r
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Answer:

A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and the number of laps on the vertical axis. 1 lap was 82 to 84 seconds.  4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 5 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 0 laps were 96 to 98 seconds

Step-by-step explanation:

The given table is presented as follows;

\begin{array}{ccc}Day \ 1 \ lap \ times \ (seconds)&Day \ 2 \ lap \ times \ (seconds)&Day \ 3 \ lap \ times \ (seconds)\\83&87&85\\92&90&86\\91&92&91\\89&91&93\\94&92&91\\93&95&89\\88&90&88\\84&85&84\end{array}The number of laps in the range 82 to 84 seconds = 1

The number of laps in the range 84 to 86 seconds = 4

The number of laps in the range 86 to 88 seconds = 2

The number of laps in the range 88 to 90 seconds = 4

The number of laps in the range 90 to 92 seconds = 6

The number of laps in the range 92 to 94 seconds = 5

The number of laps in the range 94 to 96 seconds = 2

The number of laps in the range 96 to 98 seconds = 0

Therefore, the histogram that represents Blanca's lap times for the three days of practice is described as follows;

A graph shows lap time (seconds) labeled 82 to 98 on the horizontal axis and the number of laps on the vertical axis. 1 lap was 82 to 84 seconds.  4 laps were 84 to 86 seconds. 2 laps were 86 to 88 seconds. 4 laps were 88 to 90 seconds. 6 laps were 90 to 92 seconds. 5 laps were 92 to 94 seconds. 2 laps were 94 to 96 seconds. 0 laps were 96 to 98 seconds

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Answer:

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0.1% probability that they are all left-handed.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are left handed, or they are not. The probability of a person being left-handed is independent from other people. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

10% of us are left handed.

This means that p = 0.1

If three people are randomly selected, find the probability that they are all left-handed.

This is P(X = 3) when n = 3. So

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P(X = 3) = C_{3,3}.(0.1)^{3}.(0.9)^{0} = 0.001

0.1% probability that they are all left-handed.

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3 years ago
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