find the equation of the line
please help

Find The Equation Of The Lineplease Help

Answers

Answer 1

Answer:

y=4x-9

Step-by-step explanation:

Slope-intercept form is y=mx+b where y is the y vale, m is the slope, x is the x value and b is the y-intercept.

We need to find the slope and y-intercept.

To find slope we will do rise/run

If we start from (3,3) and go up 4 and over 1 we get to (4,7)

4 over 1 is also 4

So m=4 or slope is 4

Now lets find the y-intercept

We can plug in our values and solve for b

3=4*3+b

3=12+b

-9=b

y-intercept is -9

so our answer will be y=4x-9

Answer 2

Answer:

  y = 4x -9

Step-by-step explanation:

The equation of this line is requested in slope-intercept form. The y-intercept is off the bottom of the graph, so we much develop the equation from what we can see.

Exact values are best determined from points where the line crosses grid intersections. We observe two of those are (1, -5) and (2, -1). The slope formula can tell us the slope:

  m = (y2 -y1)/(x2 -x1)

  m = (-1 -(-5))/(2 -1) = 4/1 = 4

The formula for the y-intercept can be used with the first point:

  b = y -mx

  b = -5 -4(1) = -9

Then the equation of the line y = mx +b is ...

  y = 4x -9


Related Questions

what ratios are equivalent to 4/11

Answers

Answer:

Here!!

Step-by-step explanation:

Here are a few ratios that are equivalent to  4 : 11  . . . . .

8 : 22

12 : 33

20 : 55

400 : 1100

308 : 847

4 billion : 11 billion

Helen wrote and solved the equation.

x minus 17 = 56. x minus 17 + 17 = 56 minus 17. x = 39.

What was Helen’s error?
Helen only needed to add 17 to the left side of the equation.
Helen should have added 17 to both sides of the equation.
Helen’s work is correct.
Helen made a subtraction error when subtracting 17 from 56.

Answers

Answer:

x-17=56

x-17+17=56+17

x=56+17

x=73

Step-by-step explanation:

Do mark BRAINLIEST

Answer:

d

Step-by-step explanation:

The two conditional relative frequency tables below show the results of a survey asking students whether they are taking a foreign language or not.

A 4-column table with 3 rows. The first column has no label with entries middle school, high school, total. The second column is labeled taking a foreign language with entries 0.34, 0.66, 1.0. The third column is labeled not taking a foreign language with entries 0.64, 0.36, 1.0. The fourth column is labeled total with entries 0.4, 0.6, 1.0.

Table B: Frequency of Foreign-Language Studies by Row

A 4-column table with 3 rows. The first column has no label with entries middle school, high school, total. The second column is labeled taking a foreign language with entries 0.68, 0.88, 0.8. The third column is labeled not taking a foreign language with entries 0.32, 0.12, 0.2. The fourth column is labeled total with entries 1.0, 1.0, 1.0.

Which table could be used to answer the question "Assuming a student is taking a foreign language, what is the probability the student is also in high school?”

Table A, because the given condition is that the student is in high school.
Table A, because the given condition is that the student is taking a foreign language.
Table B, because the given condition is that the student is in high school.
Table B, because the given condition is that the student is taking a foreign language

Answers

Answer:

B: Frequency of Foreign-Language Studies by Row

The diameter of a cylindrical construction pipe is7ft. If the pipe is 36ft long, what is its volume?
Use the value 3.14 for, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.

Answers

Question:

The diameter of a construction pipe is 7ft. If the pipe is 35ft long, what is the volume. (Use 3.14 for pie and round your answer to the nearest cubic foot.)

Answer: V=pir^2h V=3.14*3.5^2*35 V=1346 cu ft

Not fully sure....

But it should be right...

NEED HELP ASAP!!! GIVING BRAINLIEST+30 POINTS FOR FASTEST, BEST ANSWER FOR THESE TWO QUESTIONS!!!!!

Solve nine times two thirds.

Leave your answer as an improper fraction.

eleven twenty sevenths
eighteen twenty sevenths
eleven thirds
eighteen thirds

Answers

eighteen thirds

two thirds refers to : [tex]\sf \sf \dfrac{2}{3}[/tex]

[tex]\sf \rightarrow 9 * \dfrac{2}{3}[/tex]

[tex]\sf \rightarrow \dfrac{9*2}{3}[/tex]

[tex]\sf \rightarrow \dfrac{18}{3}[/tex]     [ also refereed as eighteen thirds ]

Answer:

[tex]6\\six~is~2/3~of~9\\this~can~also~be~looked~at~as\\2 * 3 = 6\\[/tex]

Second problem

[tex]11/27\\18/27\\11/3\\18/3[/tex]

                                          Hope it helps, be great!

   

How can you best describe a stop sign using polygons? The sign has sides, so it is. It appears to be because the sides and angles appear to be congruent.

Answers

The stop sign is an octagon or regular polygon.

It is given that a stop sign has 8 sides.

It is required to describe the sign using a polygon.

What is a polygon?

It is defined as the flat planner geometry in two dimensions with a closed shape there are two types of polygon one is irregular in which the angle and sides are not equal and the second one is a regular polygon in which sides and angles are equal called regular polygon.

We have a stop sign that has 8 sides.

As we know the definition of a polygon they are planner geometry and in a regular polygon, the sides and angles are equal called regular polygon.

The stop sign has 8 if we assume they are all equal sides and angles then we can say that the stop sign is an octagon(in which the number of sides is 8) or a regular polygon.

Thus, the stop sign is an octagon or regular polygon.

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Answer:

8, octagon, & regular

Step-by-step explanation:

I did it

Use the diagram to find the distances. Then write the distances to complete the equations.

Triangle P Q R in a coordinate plane. Point P is 1, 2. Point Q is sixteen, ten. Point R is twenty-two, 2. Point S is between P and R, at sixteen, 2. A vertical line segment connects points S and Q.
(A) QS =


(B) PS =

(C) SR =

(D) PQ =

(E) QR =

Answers

Answer:

(A) QS = 8

(B) PS = 15

(C) SR = 6

(D) PQ = 17

(E) QR = 10

Step-by-step explanation:

i did it and got it correct! :D

All the distances are;

(A) QS = 8

(B) PS = 15

(C) SR = 6

(D) PQ = 17

(E) QR = 10

What is the distance between two points?

The length of the line segment bridging two points on a plane is known as the distance between the points.

The formula to find the distance between the two points is usually given by d=√{(x₂-x₁)² + (y₂-y₁)²}

Given:

The three points P(1,2), Q(16,10), and R(22,2) are on the coordinate plane.

To find the lengths of the different line segments in the given figure, we can use the distance formula:

Distance = √[(x2 - x1)² + (y2 - y1)²]

(A) To find the length of QS, we need to find the difference between the y-coordinates of Q and S:

QS = |10 - 2| = 8

Therefore, QS has a length of 8 units.

(B) To find the length of PS, we need to find the difference between the x-coordinates of P and S:

PS = |16 - 1| = 15

Therefore, PS has a length of 15 units.

(C) To find the length of SR, we need to find the difference between the x-coordinates of S and R:

SR = |22 - 16| = 6

Therefore, SR has a length of 6 units.

(D) To find the length of PQ, we need to find the difference between the x-coordinates of P and Q:

PQ = √[1 - 16)² + (2 - 10)²]

Therefore, PQ has a length of 17 units.

(E) To find the length of QR, we need to use the distance formula:

QR = √[(22 - 16)² + (2 - 10)²]

= √[36 + 64]

= √100

= 10

Therefore, QR has a length of 10 units.

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Dean Halverson recently read that full-time college students study 20 hours each week. She decides to do a study at her university to see if there is evidence that students study an average of less than 20 hours each week. A random sample of 33 students were asked to keep a diary of their activities over a period of several weeks. It was found that he average number of hours that the 33 students studied each week was 17. 7 hours. The sample standard deviation of 3. 9 hours. Find the p -value. The p -value should be rounded to 4-decimal places

Answers

Using the t-distribution, as we have the standard deviation for the sample, it is found that the p-value is of 0.0009.

What are the hypotheses tested?

At the null hypothesis, it is tested if the students study 20 hours, that is:

[tex]H_0: \mu = 20[/tex].

At the alternative hypothesis, it is tested if they study less than 20 hours, that is:

[tex]H_1: \mu < 20[/tex].

What is the test statistic?

The test statistic is given by:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

The parameters are:

[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.

In this problem, the values of the parameters are given as:

[tex]\overline{x} = 17.7, \mu = 20, s = 3.9, n = 33[/tex].

Hence, the value of the test statistic is:

[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{17.7 - 20}{\frac{3.9}{\sqrt{33}}}[/tex]

[tex]t = -3.39[/tex]

What is the p-value?

Using a t-distribution calculator, considering a left-tailed test, as we are testing if the mean is less than value, the p-value is of 0.0009.

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NEED HELP! I JUST NEED HELP ON 31 PLEASSEE HELP

Answers

Answer:

A

Step-by-step explanation:

the quartiles are illustrated as 55 and 59. The average is 57.5 so 58? These are the key points on this type of graph.

One of the logo meets the building requirements. Explain which logo meets the biulding requirements and why.

Answers

The logo that meets the building requirement must be:

Aesthetically appealingVisually accurate at all sizesMust be memorableRelated to the value being delivered.

What are logos in art?

A Logo in art is a visual symbol, that an organization selects as one of the primary visual identifiers of its brand.

They are first conceptualized, then built or created after much consultation with graphic and marketing professionals.

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please help it’s for my homework

Answers

Answer:

1st option

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - [tex]\frac{4}{5}[/tex] , then

y = - [tex]\frac{4}{5}[/tex] x + c

to find c substitute (5, 1 ) into the equation

1 = - 4 + c ⇒ c = 1 + 4 = 5

y = - [tex]\frac{4}{5}[/tex] x + 5 ( multiply through by 5 to clear the fraction )

5y = - 4x + 25 ( add 4x to both sides )

4x + 5y = 25 ← in standard form

6 workers can build a wall in 30 days. If after 6 days 3 more workers join, find the number of days to build the same wall?

Answers

The wall can be built in 22 days by 6 workers in first 6 days and 9 workers in the rest of time.

How to use inverse proportionality to determine building time of a wall

In this question we must use the definition of inverse proportionality, in which the number of workers ([tex]n[/tex]), no unit, is inversely proportional to the building time ([tex]t[/tex]), in days.

According to the statement, 6 workers spent 6 days building a wall and there are 24 days left for completion, but 3 more workers entered to reduce building time, which can be represented by the following expression:

[tex]x = 24\,days \times \frac{6}{9}[/tex]

[tex]x = 16\,days[/tex]

In this scenario, the wall can be built in 22 days. [tex]\blacksquare[/tex]

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3/4 plus 4/5 subtract 7/10

Answers

Answer 0.85 or 17/20

Hey There! Happy to Help! Your answer is below.

Answer:

17/20 = 0.85000

Step 1:

Simplify 7/10

⇒ (3/4 + 4/5) - 7/10

Step 2:

Simplify 4/5

⇒ (3/4 + 4/5) - 7/10

Step 3:

Simplify 3/4

⇒(3/4 + 4/5) - 7/10

Step 4:

Calculating the Least Common Multiple

⇒ Find the Least Common Multiple

The left denominator is :       4 The right denominator is :       5

Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 2 0 2

5 0 1 1

Product of all

Prime Factors  4 5 20

  Least Common Multiple:

     20

Calculating Multipliers

⇒  Calculate multipliers for the two fractions

⇒  Denote the Least Common Multiple by  L.C.M

   ⇒ Denote the Left Multiplier by  Left_M

⇒   Denote the Right Multiplier by  Right_M

⇒    Denote the Left Deniminator by  L_Deno

⇒    Denote the Right Multiplier by  R_Deno

Left_M = L.C.M / L_Deno = 5 Right_M = L.C.M / R_Deno = 4Making Equivalent Fractions

⇒ Rewrite the two fractions into equivalent fractions

⇒ Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

L. Mult. • L. Num.               3 • 5

-----------------------------    =  ------------

L.C.M                                     20  

  R. Mult. • R. Num.      4 • 4

----------------------------- =  -------

   L.C.M                           20  

Adding fractions that have a common denominator

 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3 • 5 + 4 • 4     31

------------------ = ---

     20           20

Equation at the end of step 4:

 31     7

---- - ----

20   10

Step 5:

Calculating the Least Common Multiple :

 Find the Least Common Multiple

     The left denominator is :       20

     The right denominator is :       10

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 2 1 2

5 1 1 1

Product of all

Prime Factors  20 10 20

   Least Common Multiple:

     20

Calculating Multipliers :

Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

Left_M = L.C.M / L_Deno = 1

  Right_M = L.C.M / R_Deno = 2

Making Equivalent Fractions :

Rewrite the two fractions into equivalent fractions

L. Mult. • L. Num.      31

------------------------- = ----

L.C.M                      20

R. Mult. • R. Num.      7 • 2

---------------------------- = -----

L.C.M              20  

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

31 - (7 • 2)     17'

--------------  = ---

20          20

 17          

 —— = 0.85000

 20        

please help me answer the question in the image

Answers

Answer:

2x/x+2

Step-by-step explanation:

Factor out 2x in the numerator

Then you get: 2x(x+4)

Factor the denominator

Two numbers that multiply to 8 and add to 6(2 and 4)

So you get: (x+2)(x+4)

Now you have: (2x(x+4))/(x+2)(x+4)

Simplify by cancelling the x+4

2x/x+2

Hey there!

Answer: [tex] \Rightarrow \boxed {\sf{\frac{2x}{(x+2)}}}[/tex]

Solving steps:-

[tex] \rightarrow\sf{\frac{ {2x}^{2} + 8x}{ {x}^{2} + 6x + 8} }[/tex]

[tex] \rightarrow\sf{\frac{ 2x(x + 4)}{ {x}^{2} + 4x +2x + 8} }[/tex]

[tex] \rightarrow\sf{\frac{ 2x(x + 4)}{ x (x + 4) +2(x + 4)} }[/tex]

[tex] \rightarrow\sf{\frac{ 2x\sout{(x + 4)}}{ \sout{(x + 4)} (x + 2)} }[/tex]

[tex] \rightarrow\sf{\frac{ 2x}{ (x + 2)} }[/tex]

~Done~

If 1/10 of a scarf is knit in 48 minutes.what fraction of a scarf is knit in 1 hour

Answers

Answer:

1/8

Step-by-step explanation:

i believe this is the answer

What is the value of 6(2b-4) when b=5?

Answers

Answer:

Step-by-step explanation:

What is the value of 6(2b-4) when b =5 2.  The value of is 36. Step-by-step explanation: Given expression: To find the value of at b= 5, we need to substitute the b=5 in the expression, we get.

can i have brainly please :) thanks bro

Answer: 36

Step-by-step explanation:

Bronson earns $625 per week at his job. How much does he earn annually?
please help

Answers

The answer should be 89.2$

Can someone help me pls

Answers

Answer:

The angle of KLM is 50°

Step-by-step explanation:

Used protractor

Answer:

∠ KLM ≈ 33.7°

Step-by-step explanation:

using Pythagoras' identity in right triangle JKM

KM²  = JK² + JM² = 7² + 4.5² = 49 + 20.25 = 69.25 ( take square root of both sides )

KM = [tex]\sqrt{69.25}[/tex] ≈ 8.322 cm

using the sine ratio in right triangle KLM

sin KLM = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{KM}{LM}[/tex] = [tex]\frac{8.322}{15}[/tex] , then

∠ KLM = [tex]sin^{-1}[/tex] ( [tex]\frac{8.322}{15}[/tex] ) ≈ 33.7° ( to 3 significant figures )

This figure represents the base of an fish tank that is 6 inches high.

What is the volume of the fish tank?


390 in³

330 in³

270 in³

240 in³

Answers

Answer:

270

Step-by-step explanation:

5 x 7 x 6= 210

2 x 5 x 6= 60

210 + 60= 270

The required volume of the fish tank is 240 cubic inches. option D is correct.

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
The requried volume of the figure is given as,
Volume  = height [area of the plot]

Since the area of the plot is given as,
area = area of the left rectangle + area of the right triangle.
area = 5 × 7 + 1/2 × [12-7]×[5-3]
area = 35 + 5
area = 40 square inches.

Volume = 6 [40]

Volume = 240 in³

Thus, the required volume of the fish tank is 240 cubic inches. option D is correct.

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What is the value of x? If necessary express your answer in simplest radical form.
A. 18
B. 20
C.4✔️2
D. 4✔️3

Answers

Answer:

B, 20

Step-by-step explanation:

The Pythagorean Theorem states that the two shortest lengths in a right triangle (in our case, 12 and 16), is equal to the longest length in a right triangle (c). So,

a²+b²=c²

Substitute 12 and 16 for a and b, our side lengths

12²+16²=c²

144+256=400

400=c²

Square root both c and 400, which gives us...

20=c

So, the value of x is 20.

The correct answer is a.18

please help me

To build a pizza, customers choose stuffed (S) or thin (T) crust, red (R) or white (W) sauce, and a topping. The choices for toppings are pepperoni (P), sausage (S), or vegetables (V).

The following list shows the possible pizzas that can be made. The first letter represents the crust, the second letter represents the sauce, and the third letter represents the topping. For example, a stuffed-crust pizza with red sauce and pepperoni is listed as SRP, and a stuffed-crust pizza with white sauce and sausage is listed as SWS.


SRP, SRS, SRV, SWP, SWS, SWV, TRP, TRS, TRV, TWP, TWS, TWV

How many outcomes include red sauce or sausage?

Enter you answer as a number, like this: 42

Answers

Answer:

8

Step-by-step explanation:

I bolded what I think is important to know.

To build a pizza, customers choose stuffed (S) or thin (T) crust, red (R) or white (W) sauce, and a topping. The choices for toppings are pepperoni (P), sausage (S), or vegetables (V).

The following list shows the possible pizzas that can be made. The first letter represents the crust, the second letter represents the sauce, and the third letter represents the topping. For example, a stuffed-crust pizza with red sauce and pepperoni is listed as SRP, and a stuffed-crust pizza with white sauce and sausage is listed as SWS.

SRP, SRS, SRV, SWP, SWS, SWV, TRP, TRS, TRV, TWP, TWS, TWV

How many outcomes include red sauce or sausage?

What is the answer to how many 1/2 are in 3 1/2?

Answers

Answer: There is a total of 7 halves

A car used 1/81 of a gallon of gas to drive 1/4 of a mile. At this rate, how many miles can the car travel using 1 gallon of gas? ??????????

Answers

Step-by-step explanation:

1/81 gallon for 1/4 mile.

what do I need to multiply 1/81 with to get 1 gallon ?

it is simple, right ? i need to multiply it by 81 to get 1 gallon.

in order to keep the relationship (ratio) unchanged, I need to multiply the other part (1/4 mile) with the same factor :

1/4 × 81 = 81/4 = 80/4 + 1/4 = 20 1/4 miles

so, at this rate, that car can travel 20 1/4 miles using 1 gallon of gas.

1. liola drives 130 m up a hill that has a slope of 7°. what horizontal distance, to the nearest hundredth of a

meter, has she covered?

o 129. 03 m

o 15. 84 m

o 15. 96 m

o 130. 97 m

Answers

Its 130.97 hope I helped

The horizontal distance to the nearest hundredth of a meter, that Liola covered is 129.03 m (option A)

How to determine the horizontal distance?

The following data were obtained from the question:

Hypotenuse = 130 mAngle (θ) = 7°Horizontal distance = Adjacent =?

The horizontal distance Liola covered as she drives 130 m up the hill can be obtained as follow:

Cos θ = Adjacent / Hypotenuse

Cos 7 = Horizontal distance / 130

Cross multiply

Horizontal distance = 130 × Cos 7

= 130 × 0.9925

= 129.03 m

Thus, the horizontal distance Liola covered is 129.03 m (option A)

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A spinner contains four sections: red, blue, green, and yellow. Joaquin spins the spinner twice. The set of outcomes is given as S = {RB, RG, RY, RR, BR, BG, BY, BB, GR, GB, GY, GG, YR, YB, YG, YY}. If the random variable is "yellow (Y)," which of the following is the correct probability distribution? A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0. 5625, 0. 375, 0. 625. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0. 75, 0. 25, 0. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0. 5, 0. 375, 0. 125. A 2-column table has 3 rows. The first column is labeled Yellow: x with entries 0, 1, 2. The second column is labeled Probability with entries 0. 5, 0. 25, 0. 25.

Answers

The correct probability distribution of the random variable tracking "yellow (Y)" color is given by: Option A:

Yellow:x    Probability

0               9/16 = 0.5625

1                6/16 = 0.375

2                1/16 = 0.0625

What is probability distribution?

Probability distribution of a random variable is the collection of value and its probability pair for values of that considered random variable.

It might be a function, a table etc.

How to calculate the probability of an event?

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For this case, the experiment consists of a spinner with four color sections, and is spun twice.

The sample space is:

S = {RB, RG, RY, RR, BR, BG, BY, BB, GR, GB, GY, GG, YR, YB, YG, YY}

Let we take:

X = the number of times out of two spins the color yellow occurs in a pair of spin of the considered spinner.

Then, as there are only two spin going to happen, so the values X can take are:

X = 0 (no yellow color in both spin)X = 1 (one of the spin ended up yellow, and other doesn't)X = 2 (both the spins resulted in yellow color).

Let we take:

A  = event that in first spin of the considered spinner, color yellow occurs.B = event that in second spin of the considered spinner, color yellow occurs.

Then, as there are four colors equally likely, so we get:
P(A) = 1/4 (yellow color can occur in 1 way in one spin, and total number of colors that can occur = 4).

Similarly, we get P(B) = 1/4

Also, as first and second spins are independent of each other's result, so both A and B are independent events.

Getting the probabilities for each value of X:

Case 1: X = 0

[tex]P(X = 0) = P(A' \cap B') = P(A')P(B') = (1-P(A))(1-P(B)) \\P(X = 0) = \dfrac{3}{4} \times \dfrac{3}{4}\\\\P(X = 0) = \dfrac{9}{16}[/tex]

(where A' and B' are complement of A and B, and as (A and B) are independent, so as (A' and B') and (A' and B) and (A and B') )

Case 2: X = 1

So either first spin had yellow color, or second, so we get:

[tex]P(X = 1) = P((A' \cap B) \cup (A \cap B'))\\ P(X=1) = P(A' \cap B) + P(A \cap B') - P((A' \cap B) \cap (A \cap B'))\\P(X=1) = P(A')P(B) + P(A)P(B') -0\\P(X=1) = \dfrac{3}{4} \times \dfrac{1}{4} + \dfrac{1}{4} \times \dfrac{3}{4} - 0\\\\P(X = 1) = \dfrac{6}{16}[/tex]

Case 3: X = 2

Both event A and B occured this time, so we get:

[tex]P(X = 2) = P(A \cap B) = P(A)P(B) \\P(X = 0) = \dfrac{1}{4} \times \dfrac{1}{4}\\\\P(X = 0) = \dfrac{1}{16}[/tex]

Thus, the probability distribution of X is:

X=x                P(X = x)

0               9/16 = 0.5625

1                6/16 = 0.375

2                1/16 = 0.0625

Learn more about probability here:

brainly.com/question/1210781

calculate the perimeter of a rectangle that is 5.5 c by 3.5 cm?

Answers

P = 2 x (5,5 + 3,5) = 18 cm

P = is the circumference of the figure

Answer:

the answer should be 18 cm

you can either do 2 × (length + width)

2 × (5.5 + 3.5)

2 × 9 = 18

or

5.5 + 5.5 = 11

3.5 + 3.5 = 7

11 + 7 = 18

either way it's 18, I hope this helps

Use the explicit rule to find a12. an=-2n+8

Answers

The explicit rule formula an = -2n + 8 is an arithmetic progression

The value of a11 is -14

How to evaluate the explicit rule?

The explicit rule formula is given as:

an = -2n + 8

Substitute 11 for n to calculate a11

a11 = -2 * 11 + 8

Evaluate the product

a11 = -22 + 8

Evaluate the sum

a11 = -14

Hence, the value of a11 is -14

Read more about explicit rules at:

https://brainly.com/question/12119793

please explain how you got your answer because i cant grasp this :/

Answers

Answer:

39 sq inches

Area of sector = [tex]\frac{θ}{360}*\pi r^{2}[/tex]

Given: θ = 70°, radius (r) = 8 inches

Area of sector = [tex]\frac{70}{360} * \pi *8^{2}[/tex]

= 39.095

for further studies visit: https://brainly.com/question/22972014

hope it helps...

Find the value of x. Round to the nearest tenth.
I’m going to Mcshoot myself pls help

Answers

Answer:

x = 10.8

Explanation:

[tex]\sf \sf cos(x)= \dfrac{adjacent}{hypotensue}[/tex]

using cosine rule:

[tex]\rightarrow \sf cos(26)= \dfrac{x}{12}[/tex]

[tex]\rightarrow \sf x = cos(26) *12[/tex]

[tex]\rightarrow \sf x =10.8[/tex]

Answer:

The answer is rounded 10.8

Step-by-step explanation:

Cosine is the adjacent side over the hypotenuse, or a/h. So, cos 26=x/12. To solve for x, isolation of the variable is necessary. If both sides are multiplied by 12, the equation becomes 12 (cos 26)=x. The cosine of 26 is 0.8988, which multiplied by 12 is 10.8.

Hope this helps!

Solve for x if 2(5x + 2)^2 = 48

Answers

Distribute=2(5x+2) and 2(5x(5x+2)+2(5x+2))

Distribute
2
(
2
5

2
+
1
0

+
2
(
5

+
2
)
)
2
(
25
x
2
+
10
x
+
2
(
5
x
+
2
)
)
2
(
2
5

2
+
1
0

+
1
0

+
4
)



Combine like terms
2
(
2
5

2
+
1
0

+
1
0

+
4
)
2
(
25
x
2
+
10
x
+
10
x
+
4
)
2
(
2
5

2
+
2
0

+
4
)
i think x= 3.2 but who knows i’m not that good at math
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