MATHEMATICS COLLEGE

What is the value of x?

Answers

Answer 1

Answer:

Answer:

x=-14

Step-by-step explanation:

The 2 angles are opposite of each other. This means that they are vertical angles, are they are congruent.

Since they are congruent, we can set them equal to each and solve for x.

9x+184=7x+156

To solve the equation, we want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

First, subtract 7x from both sides.

9x-7x+184=7x-7x+156

9x-7x+184=156

2x+184=156

Next, subtract 184 from both sides.

2x+184-184=156-184

2x=156-184

2x=-28

Finally, divide both sides by 2.

2x/2= -28/2

x=-28/2

x= -14

Answer 2

Answer:

The value of X is -14.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

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PLEASE HELP Function f is an exponential function. It predicts the value of a famous painting, in thousands of dollars, as a function of the number of years since it was last purchased.

What equation models this function?

(My graph is below)

Enter your answer in the box.

f(x)=

Answers

Answer:

f(x) = 8·1.25^x

Step-by-step explanation:

An exponential function has the form ...

... f(x) = a·b^x

Then f(0) = a. Your graph shows f(0) = 8.

The base "b" can be found from any other point on the graph. You have marked the point (1, 10), so we can find "b" from ...

... f(1) = 10 = 8·b^1 = 8b

... 10/8 = b = 1.25 . . . . . . . divide by the coeffiicient of b

Now, we know the exponential function is ...

... f(x) = 8·1.25^x

Answer:

The correct answer is f(x) = 8·1.25^x

Step-by-step explanation:

In your own words, describe how to graph the linear equation y = -1/5x + 3. Step by step

Answers

Answer:

Steps given below and graph is attached.

Step-by-step explanation:

First Step:

Find out $y-intercept$ by substituting $x=0$

$y=-(1)/(5)* 0+3\n\ny=3\n\nHence\ line\ passes\ through\ (0,3).$

Second Step:

Find out $x-intercept$ by substituting $y=0.$

$0=-(1)/(5)x+3\n\n(1)/(5)x=3\n\nx=15\n\nHence\ line\ passes\ through\ (15,0).$

Third Step:

Draw a line passing through $(0,3)\ and\ (15,0)$ .

Graph is attached.

What is the mean of the data set 14, 12, 23, 15?

Answers

Answer:

Step-by-step explanation:

(14+12+23+15)÷4=16

Answer:

Step-by-step explanation:

Hope this help

MAFS.5.NF.2.5b4. Valeria is going to the grocery store to buy turkey
and ham to use for sandwiches this week. She buys
4
2
as much ham as turkey. Which of
7
3
the following statements is true?
1 turkey and 12 /
A. She is buying more turkey than ham.
B. She is buying the same amount of turkey and ham.
C. She is buying twice as much turkey as ham.
D. She is buying less turkey than ham.
Cuál es la repuesta? Hola

Answers

Answer:

Step-by-step explanation:

See attachment.

Identify the distance, to the nearest tenth, between C(−7,−9) and J(6,2).

Answers

Answer:

The answer is 17.02, to the nearest tenth is 17.

Step-by-step explanation:

Under the radical, that us take the square root of the following sum:

(Jx - Cx )^2 + (Jy - Cy)^2

Substitute in the values:

(6 - (-7))^2 + (2 - (-9))^2 =

This becomes:

(6+7)^2 + (2 + 9)^2 =

13^2 + 11^2 =

169 + 121 =

Sqrt 290 =

17.029 = To the nearest 10th is 17

Which of these situations fit the conditions for using Bernoulli trials? Explain. a) You are rolling 66 dice and need to get at least fourfour 33s to win the game. b) We record the distribution of home stateshome states of customers visiting our website. c) A committee consisting of 1212 men and 88 women selects a delegation of 44 to attend a professional meeting at random. What is the probability they choose all women? d) A study found that 5757% of M.B.A. students admit to cheating. A business school dean surveys all the students in the graduating class and gets responses in which cheating was admitted by 354354 of 542542 students.

Answers

Answer:

Experiments a) and d) fit the conditions for using Bernoulli trials.

Step-by-step explanation:

A Bernoulli trial is one where the variable is random and dichotomic, that is, it only has two possible outcomes, True/Sucess/Yes/etc. or False/Failure/No/etc. Also, each experiment has the same probability of sucess than the one before and the one after, that means, they are independent. This probability can be calculated by dividing the number of sucess cases by the number of total cases.

Experiment a), where you need four 3s is a Bernoulli trial, as getting a 3 is sucess and not getting a 3 is a failure, and each roll of the dice is independent from each other.

Experiment b) is not a Bernoulli trial as they are more than 2 possible outcomes for the home state of the customer (50 in the case of the US).

Experiment c) is not a Bernoulli trial, as they will be chosen at random, but the first woman will have different chances to be chosen than the fourth one (if they are 20 people, the first one will have 1/20 and the fourth 1/17, as one can't be chosen more than one time).

Experiment d) is a Bernoulli trial, as a student either admits cheating or not, and we can assume that every response was independent from each other.

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