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torisob [31]
3 years ago
11

Triangle QRS has been translated to create triangle Q'R'S'. RS = R'S' = 2 units, angles S and S' are both 28 degrees, and angles

R and R' are both 32 degrees. Which postulate below would prove the two triangles are congruent?
Mathematics
2 answers:
Ghella [55]3 years ago
8 0
The triangle shares two angles and 1 side : ASA.
adoni [48]3 years ago
7 0
If this is a triangle all the angles should equal 180 right. So if you add 32 +28=s and 180- s= the missing angle which will prove weather or not its congruent.
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A person calls people to ask if they would like to extend their automobile insurance beyond the normal3years. The probability th
Sonbull [250]

Using the binomial distribution, it is found that there is a 0.0231 = 2.31% probability that the first person to say yes will occur with the seventh customer.

For each person, there are only two possible outcomes, either they say yes, or they say no. The probability of a person saying yes is independent of any other person, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

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

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

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • The probability that the seventh person is the first to say yes is P(X = 0) when n = 6(first six say no) multiplied by 0.37(probability the seventh say yes).
  • 37% say yes, hence p = 0.37

Then:

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

P(X = 0) = C_{6,0}.(0.37)^{0}.(0.63)^{6} = 0.0625

p = 0.37(0.0625) = 0.0231

0.0231 = 2.31% probability that the first person to say yes will occur with the seventh customer.

A similar problem is given at brainly.com/question/24863377

3 0
2 years ago
What two variables are likely to have a negative correlation
kogti [31]

Answer:

<u><em>Negative Correlation</em></u>

The variable x - value increases as y- value decreases is called negative correlation.

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Negative correlation:-    

The negative correlation is a relation between two variables such that they are part of a function in which depends and independent variables move in different directions in terms of value.

<u><em>Positive correlation</em></u>

The variable x - value increases as y- value increases is called positive correlation.

<u><em>Negative Correlation</em></u>

The variable x - value increases as y- value decreases is called negative correlation.

<u><em>No correlation </em></u>

There is no pattern  between two variables

there is no connect between two variables is called No - correlation

6 0
3 years ago
A rectangle has an area of 102cm2. The length of the rectangle is 17 cm. What is the perimeter of the rectangle
tatuchka [14]

Answer:

36

Step-by-step explanation:

To find the with divide 102 by 17, we get 6. Then add 6+6+17+17 because we know this is a rectangle and it has 2 with sides and 2 length sides. We get the answer of 36.

6 0
3 years ago
1/5x-2/3y=30 when y=15
dolphi86 [110]

Answer:

Step-by-step explanation:

<u>Step 1:  Set y to 15 and solve</u>

<u />\frac{1}{5}x - \frac{2}{3}*15=30

\frac{1}{5}x-10=30

<em>Add 10 to both sides</em>

<em />\frac{1}{5}x-10+10=30+10

\frac{1}{5}x=40

<em>Multiply both sides by 5</em>

<em />\frac{1}{5}x*\frac{5}{1}=40*\frac{5}{1}

x=200

Answer:  x=200

5 0
3 years ago
What is the measure of angle Q to the nearest whole degree?<br> 43°<br> 49°<br> 53°<br> 58°
geniusboy [140]

Answer:

m∠Q ≈ 53°

Step-by-step explanation:

To find the measure of ∠Q, the law of cosines will need to be used. Lowercase letters represent the side lengths, while upper case letters represent angles.

In this situation, 'A' will be ∠Q. Therefore:

17² = 18² + 20² -2(18)(20)cosQ

Simplify:

289 = 324 + 400 -2(360)cosQ

Continue simplifying down:

-435 = -720cosQ

Divide both sides by '-720':

0.604 = cosQ

cos^{-1}Q = 0.604

m∠Q ≈ 52.83 or 53° rounded to the nearest whole degree.

3 0
3 years ago
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