Determine whether the random variable is discrete or continuous. a. The time it takes to fly from City Upper A to City Upper B. b. The time it takes for a light bulb to burn out. c. The number of fish caught during a fishing tournament. d. The number of textbook authors now sitting at a computer. e. The distance a baseball travels in the air after being hit. a. Is the time it takes to fly from City Upper A to City Upper B discrete or​ continuous? A. The random variable is discrete. B. The random variable is continuous.

Answers

Answer 1

Answer:

a. Continuous random variable

b. Continuous random variable

c. Discrete random variable  

d. Discrete random variable

e. Continuous random variable  

a.The time it takes to fly from City Upper A to City Upper B is a continuous random variable.

Step-by-step explanation:

When the value of the variable is found by counting the variables, it is termed as a discrete variable.When the value of the variable is found by measuring the variables, it is termed as a continuous variable.

In (c) and (d), the values of the variables can be found by counting. The number of fish and the number of textbook authors can be counted. Hence, they are discrete random variable.

In (a), (b) and (e) the values can be found by measuring. The time taken to fly, the time taken for light to travel and the distance to travel are the variable that are measured. Hence, they are continuous random variable.


Related Questions

Find the first four terms of the sequence defined by a(n subscript)= 1/n (separated by a comma).

Answers

Answer:

1,1/2,1/3,1/4

Step-by-step explanation:

an = 1/n

n is the term number

a1 = 1/1 =1

a2 = 1/2

a3= 1/3

a4 = 1/4

The first 4 terms are 1,1/2,1/3,1/4

A retail store sells two types of shoes, sneakers and sandals. The store owner pays $8 for the sneakers and $14 for the sandals. The sneakers can be sold for $10 and the sandals can be sold for $17. The owner of the store estimates that she won't sell more than 200 shoes each month, and doesn't plan to invest more that $2,000 on inventory of the shoes. Let x= the number of sneakers in stock, and y=the number of sandals in stock. Write an equation to show the profit she will make on sneakers and sandals. P = [answer0]

Answers

Answer:

The equation that shows the profit: P = 2x + 3y

Step-by-step explanation:

The number of sneaker = x

The number of sandals = y

Cost of sneaker = 8 dollars.

Cost of sandals = 14 dollars.

Selling price of sneaker = $10

Selling price of sandals = $17

Total revenue = $10x + $17y

Total cost  = $8x + $14y

Profit (P)  =  Total revenue  - Total cost.

Profit = ($10x + $17y) – ($8x + $14y)

P = 10x +17y – 8x – 14y

P = 2x + 3y

Can someone help with this I can't fail.​

Answers

Answer: B

Step-by-step explanation:

(f-g)(x) is f(x)-g(x). Since we have f(x) and g(x), we can directly subtract them.

5x-2-(2x+1)            [distribute -1]

5x-2-2x-1                [combine like terms]

3x-3

Which expression is equivalent to the following complex fraction?

StartFraction 3 Over x minus 1 EndFraction minus 4 divided by 2 minus StartFraction 2 Over x minus 1 EndFraction
StartFraction 2 (x minus 2) Over negative 4 x + 7 EndFraction
StartFraction negative 4 x + 7 Over 2 (x minus 2) EndFraction
StartFraction negative 4 x + 7 Over 2 (x squared minus 2) EndFraction
StartFraction 2 (x squared minus 2) Over (negative 4 x + 7) EndFraction

Answers

Answer:

  [tex]\dfrac{-4x+7}{2(x-2)}[/tex]

Step-by-step explanation:

The first step is to combine the parts of the numerator and denominator into one rational expression each. Those will have the same denominator, so their ratio is the ratio of their numerators.

  [tex]\dfrac{\dfrac{3}{x-1}-4}{2-\dfrac{2}{x-1}}=\dfrac{\left(\dfrac{3-4(x-1)}{x-1}\right)}{\left(\dfrac{2(x-1)-2}{x-1}\right)}=\dfrac{3-4(x-1)}{2(x-1)-2}\\\\=\dfrac{3-4x+4}{2x-2-2}=\boxed{\dfrac{-4x+7}{2(x-2)}}[/tex]

Answer:

B

Step-by-step explanation:

I got it right on EDGE

Given that the sum of the first n terms of the provided series is 6560 determine the value of n (2,6,18,54....)

Answers

Answer:

n = 8

Step-by-step explanation:

The given sequence, 2, 6, 18, 54. . ., is a geometric sequence.

It has a common ratio of 3 => [tex] \frac{6}{2} = \frac{18}{6} = \frac{54}{18} = 3 [/tex]

Thus, the sum of the first n terms of a geometric sequence is given as [tex]S_n = \frac{a_1(1 - r^n)}{1 - r}[/tex]

Where,

[tex] a_1 [/tex] = first term of the series = 2

r = common ratio = 3

[tex] S_n [/tex] = sum of the first n terms = 6,560

Plug in the above values into the formula

[tex]6,560 = \frac{2(1 - 3^n)}{1 - 3}[/tex]

[tex] 6,560 = \frac{2(1 - 3^n)}{-2} [/tex]

[tex] 6,560 = \frac{1 - 3^n}{-1} [/tex]

Multiply both sides by -1

[tex] -6,560 = 1 - 3^n [/tex]

Subtract 1 from both sides

[tex] -6,560 - 1 = - 3^n [/tex]

[tex] -6,561 = - 3^n [/tex]

[tex] 6,561 = 3^n [/tex]

Evaluate

[tex] 3^8 = 3^n [/tex]

3 cancels 3

[tex] 8 = n [/tex]

The value of n = 8

PLS HELP, ASAP what is x when 3 -2x = 11

Answers

Answer:

[tex]x = - \frac{9}{2} [/tex]

Step-by-step explanation:

3 - 2x = 11

Group the constants at the right side of the equation

That's

- 2x = 11 - 3

- 2x = 9

Divide both sides by - 2

[tex]x = - \frac{9}{2} [/tex]

Or

[tex]x = - 4 \frac{1}{2} [/tex]

Hope this helps you

When the sun is at a certain angle in the sky, a 100 foot building will cast a 25 foot shadow. How y’all is a person if he casts a 1.5 foot shadow at the same time?

Answers

Answer:

  6 ft

Step-by-step explanation:

The building height of 100 ft is 4 times the shadow length of 25 ft. At the same ratio, the person's height is 4 times the 1.5 ft shadow length, so is ...

  4 × (1.5 ft) = 6.0 ft

The person is 6 ft tall.

Less than 51% of workers got their job through networking. Express the null and alternative hypotheses in symbolic form for this claim (enter as a percentage). H0 : p H1 : p
Use the following codes to enter the following symbols:
≥≥ enter >=
≤≤ enter <=
≠≠ enter !=

Answers

Answer:

Null Hypothesis, [tex]H_0[/tex] : p [tex]\geq[/tex] 51%

Alternate Hypothesis, [tex]H_A[/tex] : p < 51%

Step-by-step explanation:

We are given that less than 51% of workers got their job through networking. We have to express the null and alternative hypotheses in symbolic form for this claim.

Let p = population proportion of workers who got their job through networking

So, Null Hypothesis, [tex]H_0[/tex] : p [tex]\geq[/tex] 51%

Alternate Hypothesis, [tex]H_A[/tex] : p < 51%

Here, the null hypothesis states that greater than or equal to 51% of workers got their job through networking.

On the other hand, the alternate hypothesis states that less than 51% of workers got their job through networking.

Hence, this is the appropriate hypothesis that can be used.

The productivity of workers at a shoe factory (in pairs of shoes per hour) can be modeled using the function p(h) = -2/7h + 5, where h is the number of hours. If a worker must create at least 3 pairs of shoes per hour for the company to be profitable, how long should the worker's shift be?

Answers

Answer:

  no more than 7 hours

Step-by-step explanation:

You want p(h) ≥ 3, so ...

  p(h) ≥ 3

  -2/7h +5 ≥ 3

  2 ≥ 2/7h . . . . . . add 2/7h -3

  7 ≥ h . . . . . . . . . multiply by 7/2

The worker's shift should be 7 hours or less.

A student randomly guesses the answers to a 10 question true or false quiz. The observation in the student’s answer (T or F) for each question. Describe the sample space

Answers

Answer:

in this experiment we only have two  sample space which is only true or false.

because all the answers will have to fall between this sample space.

Step-by-step explanation:

we cannot actually or fully understand the above answer without first of all defining or explaining what sample space actually means.

Sample space: this is the set of all possible outcome that may come from an experiment.or we can say simply say it is the range of values that the experiment depends on.

match each function on the left to all points on the right ! Please help!

Answers

Answer:

f(x)=2x-2 with =( -1, 4)

f(x)=2(x^2) -2 with (-1,0)

f(x)=2√(x-2)  with (2,0)

Step-by-step explanation:

f(x)=2x-2

(2,0)

0=2(2)-2=2    0=2

(-1,-4)

4=2(-1)-2=-4   -4 = -4  f(x)=2(x^2) -2

(2,0)

0=2(2^2)-2=6  0=6

(-1,0)

0=2(-1^2)-2=0  0=0  f(x)=2√(x-2)  (2,0)

0=2√(2-2)=0   0=0

The function f ´( x ), which would be read `` f -prime of x '', means the derivative of f ( x ) with respect to x .

What is f(x) ?

A function called f is defined by the notation y=f(x). This should be understood as "y is a function of x." The input value, or independent variable, is represented by the letter x. The output value, also known as the dependent variable, is denoted by the letter y, or f(x).

f(x)=2x-2\s(2,0)

0=2(2)

-2=2 0=2

(-1,-4)

4=2(-1)-2=-4 -4 = -4 f(x)=2(x^2) -2\s(2,0) (2,0)

0=2(2^2)

-2=6 0=6\s(-1,0)

0=2(-1^2)

-2=0 0=0 f(x)=2 √(x-2) (2,0) (2,0)

0=2√(2-2)=0 0=0

The phrase "f (x)" denotes a formula with x serving as its input variable. Not "multiply f and x," though! Never try to "multiply" the function name with its parenthesized input and avoid embarrassing yourself by pronouncing (or thinking of) "f (x)" as being "f times x".

For the functions f(x)=−9x^2+9 and g(x)=8x^2+9x, find (f+g)(x) and (f+g)(−1)

Answers

Answer:

f(x) = - 9x² + 9

g(x) = 8x² + 9x

To find (f+g)(x) add g(x) to f(x)

That's

(f+g)(x) = -9x² + 9 + 8x² + 9x

Group like terms

(f+g)(x) = - 9x² + 8x² + 9x + 9

(f+g)(x) = - x² + 9x + 9

To find (f + g)(- 1) substitute - 1 into (f+g)(x)

That's

(f + g)(- 1) = -(-1)² + 9(-1) + 9

= - 1 - 9 + 9

= - 1

Hope this helps you

let g(x) = 2x and h(x) = x^2 +4. evaluate (g• h) (3)

Answers

Answer:

(g• h) (3) = 26

Step-by-step explanation:

g(x) = 2x

h(x) = x² + 4

To find (g• h) (3) first find ( g • h)(x)

To find ( g • h)(x) substitute h(x) into every x in g(x)

That's

( g • h)(x) = 2( x² + 4)

( g • h)(x) = 2x² + 8

Now substitute 3 into ( g • h)(x)

(g• h) (3) = 2(3)² + 8

= 2(9) + 8

= 18 + 8

(g• h) (3) = 26

Hope this helps you

A cylindrical package to be sent by a postal service can have a maximum combined length and girth (perimeter of a cross section) of 141 inches. Find the dimensions of the package of maximum volume that can be sent. (The cross section is circular.)

Answers

Answer:

Length = 47 in

Radius = 47/π in

Step-by-step explanation:

Let 'h' be the length of the package, and 'r' be the radius of the cross section.

The length and girth combined are:

[tex]L+G=141=h+2\pi r\\h=141-2\pi r[/tex]

The volume of the cylindrical package is:

[tex]V=A_b*h\\V=\pi r^2*h[/tex]

Rewriting the volume as a function of 'r':

[tex]V=\pi r^2*h\\V=\pi r^2*(141-2\pi r)\\V=141\pi r^2-2\pi^2 r^3[/tex]

The value of 'r' for which the derivate of the volume function is zero yields the maximum volume:

[tex]V=141\pi r^2-2\pi^2 r^3\\\frac{dV}{dr}=282\pi r-6\pi^2r^2=0\\ 6\pi r=282\\r=\frac{47}{\pi} \ in[/tex]

The length is:

[tex]h=141-2\pi r=141-2\pi*\frac{47}{\pi}\\h=47\ in[/tex]

The dimensions that yield the maximum volume are:

Length = 47 in

Radius = 47/π in

The graph of F(x) shown below resembles the graph of G(x) = K, but it has
been changed somewhat. Which of the following could be the equation of
F(x)?
F(x)=?
G(X) = 1x1
O A. F(X) = 3M+3
O B. F(X) --
O C. F(x) = -3M-3
O D. F(X) = 3W-3

Answers

Step-by-step explanation:

O D. F(X) = 3W-3 the answer is D

The function that represents the situation is F(x) = -x² - 3.

The correct option is A.

What is transformation on the graphs?

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph. It's a common type of problem in algebra, specifically the modification of algebraic equations.

here, we have,

Let the functions f(x) and g(x) be two real functions.

And g (x) = f (x) + k, where k is real numbers.

The function can be sketched by shifting f (x), k units vertically.

The value of k can find the direction of shift:

if k > 0, the base graph shifts k units up, and

if k < 0, the base graph shifts k units down.

Given that ,

the parent function is g(x) = x².

To find the transformed function F(x):

The function's diagram is in the opposite direction.

That means the function is -x².

And the function is shifted 3 units down vertically.

From the definition the required function is,

F(x) = -x² - 3.

Therefore, F(x) = -x² - 3.

To learn more about the transformation on the graphs;

brainly.com/question/19040905

#SPJ7

complete question:

The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has been changed somewhat. Which of the following could be the equation of F(x)?

A.

F(x) = –x2 – 3

B.

F(x) = x2 – 3

C.

F(x) = –(x + 3)2

D.

F(x) = –(x – 3)2

A department store finds that in a random sample of 200 customers, 60% of the sampled customers had browsed its website prior to visiting the store. Based on this data, a 90% confidence interval for the population proportion of customers that browse the store’s website prior to visiting the store will be between

Answers

Answer:

between 108-110?

Step-by-step explanation:

60% or 200 = 120 people

90% of 120 = 108

question doesnt look complete so this is the best I could come up with...‍♀️

A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds.
A sample of seven infants is randomly selected, and their weights at birth are recorded as:
9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds.
If Alpha = 0.05,
1. What is the critical t-value?
2. What is the decision for a statistically significant change in average weights at birth at the 5% level of significance?

Answers

Answer:

1. Critical value t=±2.447

2. The null hypothesis is failed to be rejected.

At a significance level of 0.05, there is not enough evidence to support the claim that the birth weight significantly differs from 6.6 lbs.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the birth weight significantly differs from 6.6 lbs.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=6.6\\\\H_a:\mu\neq 6.6[/tex]

The significance level is 0.05.

The sample has a size n=7.

The sample mean is M=7.56.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=1.18.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{1.18}{\sqrt{7}}=0.446[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{7.56-6.6}{0.446}=\dfrac{0.96}{0.446}=2.152[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=7-1=6[/tex]

For a two-tailed test with 5% level of significance and 6 degrees of freedom, the critical value for t is ±2.447.

As the test statistic t=2.152 is under 2.447 and over -2.447, it falls in the acceptance region, so the effect is not significant. The null hypothesis is failed to be rejected.

At a significance level of 0.05, there is not enough evidence to support the claim that the birth weight significantly differs from 6.6 lbs.

Sample mean and standard deviation calculations:

[tex]M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{7}(9+7.3+6+. . .+6.6)\\\\\\M=\dfrac{52.9}{7}\\\\\\M=7.56\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{6}((9-7.56)^2+(7.3-7.56)^2+(6-7.56)^2+. . . +(6.6-7.56)^2)}\\\\\\s=\sqrt{\dfrac{8.32}{6}}\\\\\\s=\sqrt{1.39}=1.18\\\\\\[/tex]

Quantum numbers arise naturally from the mathematics used to describe the possible states of an electron in an atom. The four quantum numbers, the principal quantum number (n), the angular momentum quantum number (â), the magnetic quantum number (mâ), and the spin quantum number (ms) have strict rules which govern the possible values. Identify allowable combinations of quantum numbers for an electron. Select all that apply.
n = 4, â= 0, mâ= 1, ms= 1/2
n = 3, â= â2, mâ= â1, ms= â1/2
n = 5, â= 3, mâ= 1, ms= 1/2
n = 3, â= 3, mâ= 0, ms= 1/2
n = 2, â= 1, mâ= 0, ms= 0
n = 3, â= 2, mâ= â1, ms= 1/2

Answers

Answer:

n = 3, â= 2, mâ= â1, ms= â1/2

n = 5, â= 3, mâ= 1, ms= 1/2

Step-by-step explanation:

Quantum numbers are used to describe an electron in an atom. According to Pauli exclusion theory, no two electrons in an atom has the same value for all four quantum numbers.

For, n = 3, â= 2, mâ= â1, ms= â1/2

The n=3 level can have values of azimuthal quantum number 0,1,2

Where l=2, the values of the magnetic quantum number are -2,-1,0,1,2

The spin quantum number must be ±1/2

Hence this option is a possible combination.

For n = 5, â= 3, mâ= 1, ms= 1/2

The n=5 level may have azimuthal quantum numbers 0,1,2,3.

For l=3, the values of magnetic quantum number are; -3,-2,-1,0,1,2,3

The spin quantum number must be ±1/2

Hence this option is a possible combination.

Trish conducts an analysis which shows that the level of alcohol consumption affects reaction times more when a person is sleep-deprived than when a person is well-rested. This is an example of ______.

a. interaction
b. confounding
c. bias
d. main effect

Answers

Answer:

a. interaction

Step-by-step explanation:

In statistics, interaction occurs when the effect of one variable depends on the value of another variable.

In this case, Trish's analysis shows that the effect of alcohol consumption in a persons reaction time also depends on that person's quality of sleep, highlighting a clear case of interaction.

A sum lent out at simple interest becomes rs4480 in 3 years and rs 4800 in 5years.find the rate of interest​

Answers

Answer: rate = 4%

Step-by-step explanation:

SI = 4800 - 4480 = 320 for two years

For 1 year, it is 320/2 = 160

For 5 years, it is 160 * 5 = 800

Principal = Amount -SI

P = 4800 - 800 = 4000

SI = prt / 100

800 = (4000 * r * 5) / 1000

r = 800 * 100 / 4000 * 5

r = 4%

Answer:

Rate of intrest = 4%

Step-by-step explanation:

Short forms

Simple intrest=SI                     Year= Y              Rate= r

SI= 4800-4480

   = 320

1 year= 320/2 = 160

5year= 160 x 5

        = 800

P= Amount-SI

P= 4800-800

= 4000

SI=PRT/100

800=(4000  X r X 5)/1000

r=800 x 100/4000 x 5

r= 4%

Hope it was Helpful!

Mark me as Brainliest!

Dara is investing her money. She can make $15 for every $150 she invests. How much will she make if she invests $7,500?

Answers

I believe you divide 7500 by 150 to know how much sets of $150 Dara invested.


7500/150

= 50

So 50* $15

Will be 750 dollars


Dara will make $750 after investing $7,500

select all polynomials that have (x+2) as a factor

Answers

Answer: A and C

Explanation:
The factor for A is x(x-5)(x+2)

The factor for C is (x-5)(x+2)(x+1)

The polynomials that have (x+2) as a factor are [tex]\rm A(x) = x^3-3x^2-10x[/tex] and [tex]\rm C(x) = x^3-2x^2-13x-10[/tex] and this can be determined by using the factorization method.

Check all the options in order to determine the polynomials that have (x+2) as a factor.

A)

[tex]\rm A(x) = x^3-3x^2-10x[/tex]

Factorize the above equation.

[tex]\rm A(x) = x(x^2-3x-10)[/tex]

[tex]\rm A(x) = x(x^2-5x+2x-10)[/tex]

[tex]\rm A(x) = x(x(x-5)+2(x-5))[/tex]

[tex]\rm A(x) = (x)(x+2)(x-5)[/tex]

This polynomial has a factor (x+2). Therefore, this option is correct.

B)

[tex]\rm B(x) = x^3+5x^2+4x[/tex]

Factorize the above equation.

[tex]\rm B(x) = x(x^2+5x+4)[/tex]

[tex]\rm B(x) = x(x^2+4x+x+4)[/tex]

[tex]\rm B(x) = x(x(x+4)+1(x+4))[/tex]

[tex]\rm B(x) = (x)(x+1)(x+4)[/tex]

Therefore, this option is incorrect.

C)

[tex]\rm C(x) = x^3-2x^2-13x-10[/tex]

Factorize the above equation.  

[tex]\rm C(x) = x^3+2x^2-4x^2-8x-5x-10[/tex]

[tex]\rm C(x) = x^2(x+2)-4x(x+2)-5(x+2)[/tex]

[tex]\rm C(x) = (x^2-4x-5)(x+2)[/tex]

This polynomial has a factor (x+2). Therefore, this option is correct.

D)

[tex]\rm D(x) = x^3-6x^2+11x-6[/tex]

Factorize the above equation.  

[tex]\rm D(x) = x^3+2x^2-8x^2-16x+27x+54-60[/tex]

In the above polynomial (x+2) is not the factor. Therefore, this option is incorrect.

For more information, refer to the link given below:

https://brainly.com/question/6810544

Scott has verified that the window is a rectangle. Side AB is half of the length of side AC. If the perimeter of the window is 120 ft., what are the lengths of side AB and side AC?

Answers

Answer:

AB = 20 ft

AC = 40 ft

Step-by-step explanation:

==>Given:

Rectangular window ABCD, where,

side AB = ½ of side AC

Perimeter = 120ft

==>Required:

Length of side AB and side AC

==>Solution:

Let AB = x

If x = ½ of AC

AC = 2x

Perimeter = 2(AB + AC)

Thus,

120 = 2(x+2x)

120 = 2(3x)

120 = 6x

Divide both sides by 6 to solve for x

120/6 = x

20 = x

AB = x = 20 ft

AC = 2x = 2(20) = 40ft

find the total surface area for the following.
height-3m, length-300 cm and width- 2 cm.​

Answers

Answer:

Step-by-step explanation:

So the Dimensions are:

Height: 300cm

Length: 300cm

Width: 2cm

SA = 2(H*L)+2(H*W)+2(L*W)

= 180000 + 1200 + 1200

= 182400 [tex]cm^{2}[/tex] OR 18.24[tex]m^{2}[/tex]

Answer:

182400 cm²

Step-by-step explanation:

At = 2( l×w + l×h + h×w)

= 2(300cm×2cm + 300cm×300cm + 300cm×2cm)

= 2(600cm² + 90000cm² + 600cm²)

= 2×91200cm²

= 182400 cm²

A sales team estimates that the number of new phones will sell is a function of the price that it sets. It estimates that if it sets the price at x dollars, it will sell f(x)=3,776-4x phones. Therefore, the company's revenues is x*(3776-4x).

Answers

Answer:

Revenue = 3,776x-4x^2

Step-by-step explanation:

Revenue is given by = price of product * no. of units of product sold.

Given

price of 1 phone = $x

No. of phone sold = 3,776-4x

Revenue = price of 1 phone*No. of phone sold = x*(3,776-4x)

              = 3,776x-4x^2

Thus, given statement is true.

25e +-6e7 =
What the answer

Answers

Answer:

-6511.8

Step-by-step explanation:

6x^2-2x=20 use ac method

Answers

Answer:

Cannot be factored

Step-by-step explanation:

The measure of angle 1 is (10 x + 8) degrees and the measure of angle 3 is (12 x minus 10) degrees. 2 lines intersect to form 4 angles. From top left, clockwise, the angles are 1, 2, 3, 4. What is the measure of angle 2 in degrees?

Answers

Answer:

Measure of angle 2 = 82°

Step-by-step explanation:

m∠1 = (10 x + 8)°

m∠3 = (12 x - 10)°

2 lines are said to intersect to form 4 angles. And the labelling of the angles was done starting from top left, clockwise: the angles are 1, 2, 3, 4.

Find attached the diagram obtained from the given information.

Vertical angles are angles opposite each other when two lines intersect. As such, they are equal to each other.

Considering our diagram

m∠1 = m∠3

m∠2 = m∠4

Sum of all four angles firmed = 360° (sum of angles at a point)

m∠1 +m∠2 + m∠3 + m∠4 = 360°

m∠1 = m∠3

(10 x + 8)°= (12 x - 10)°

10x-12x = -10-8

-2x = -18

x= 9°

Also m∠2 = m∠4, let each equal to y

(10 x + 8)°+ y + (12 x - 10)° + y = 360

10x + 12x - 10 +8 +2y = 360

Insert value of x

22(9) -2 + 2y = 360

2y = 360-196

2y = 164

y = 82°

m∠2 = m∠4 = y = 82°

Measure of angle 2 = 82°

Answer:

2 = 82°

Step-by-step explanation:

HELP WITH THIS QUESTION(I know the answer I just need to double check)

Answers

Answer:

-5, -3, -1 , 1 , 3

Step-by-step explanation:

2a -a + 1 =
x + y + x + 2 =
2(x + 4) + 2x =
3x + 2(x - 2) =​

Answers

Answer:

Step-by-step explanation:

Please, share the instructions that come with each problem.  Thanks.

2a -a + 1 = can be simplified to a + 1.

x + y + x + 2 = cannot be simplified.

2(x + 4) + 2x =

3x + 2(x - 2) =​ can be expanded and then simplified:  

   3x + 2x - 4 = 5x - 4

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