A shopkeeper bought Rice cooker for Rs. 5000 and sold it to a customer for Rs. 5,085 with 13% VAT.
Find his profit or loss percent.

Answers

Answer 1

Answer:

number to get a better price

Answer 2

Answer:

if I'm not wrong,then this is the equation

Step-by-step explanation:

CP=5000

SP=5085

VAT=13℅

now,

VAT amount=VAT℅ OF SP

=13℅ OF 5085

=13/100*5085

=rs.661.05

again,

profit℅= SP-CP/CP*100℅

=85/500*100

=17℅ answer


Related Questions

Find the shaded area

Answers

Answer:

101 degrees

Step-by-step explanation:

the sum of all angles in a triangle is always 180 degrees.

the other not-shaded angle in the lower triangle is also 42 degrees.

the shaded angle is therefore

180 - 37 - 42 = 101 degrees

Please help!!!!!!!!!!!!!!

Answers

Answer:

7^-22

Step-by-step explanation:

Exponent laws.

NEED THIS ASAP :)

What is the length of the y-component of the vector plotted below?
A. 3
B. 4
C. 1
D. 2

Answers

Answer:

4

Step-by-step explanation:

Length of the y component is how far the vector reaches vertically, so in this case it's 4

pls help w work!!

The equation P=2(L + W) is used to find the
perimeter, P, of a rectangle based on the length, L,
and Width, W. Which of the following correctly expresses the value of the width?
(a) P - 2L
(b) P - 2L / 2
(c) 2L - P / 2
(d) 1/2 (P-L)

Answers

Lets Do

[tex]\\ \sf\longmapsto p = 2(l + w) \\ \\ \sf\longmapsto l + w = \frac{p}{2} \\ \\ \sf\longmapsto w = \frac{p}{2} - l \\ \\ \sf\longmapsto \boxed{ \bf \: w = \frac{p - 2l}{2} }[/tex]

help me out please
(geometry)

Answers

Answer:

x = 17

Step-by-step explanation:

The angles are same side interior angles and they will add to 180 when the lines are parallel

6x+8  + 4x+2 = 180

10x+10 = 180

Subtract 10 from each side

10x+10-10 =180-10

10x = 170

Divide by 10

10x/10 = 170/10

x = 17

Answer:

x = 17

Step-by-step explanation:

Theorem:

If two lines are cut by a transversal such that same-side interior angles are supplementary, then the lines are parallel.

For the lines to be parallel, the sum of 6x + 8 and 4x + 2 must equal 180.

6x + 8 + 4x + 2 = 180

10x + 10 = 180

10x = 170

x = 17

HELPP! You will get 15 points!

AD is an angle bisector of

Answers

Answer:

<CAB  

Step-by-step explanation:

Since CAD is equal to DAB

AD bisects CAB  

find the mean of the following 2x-5y,5x+2y,8x+6y,x-y​

Answers

Answer: 4x + 0.5y

Step-by-step explanation:

Concept:

Here, we need to understand the idea of the mean (average).

The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers.

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

**Disclaimer** I assume the question is asking for the arithmetic mean instead of geometric. If it was, then you can refer to my answers. If it was not, then you can point it out and I will redo the question.

Terms: 2x-5y, 5x+2y, 8x+6y, x-y

Number of terms: 4

 [(2x-5y) + (5x+2y) + (8x+6y) + (x-y)] / 4

=[2x + 5x + 8x + x + 2y - 5y + 6y - y] / 4

=[16x + 2y] / 4

=4x + 0.5y

Hope this helps!! :)

Please let me know if you have any questions

Jada worked at the bakery for 14 hours last week he spent $12 of his earnings on a cake for his father‘s birthday as he was last with $86 after buying the cake what is Gianna‘s hourly wage

Answers

Answer:

$7 is his Hourly Wage.

Step-by-step explanation:

We can start by finding out how much money Jada started with by adding the amount of money he had after buying the cake with how much he spent on the cake, 86 + 12 = 98.

We now know how much money he had before buying anything. Now we can just divide the total amount of money by how long he worked.

98 ÷ 14 = 7

Which of the answer choices could be the one missing data item for the following set, if the mode is 12?


7, 12, 9, 15, 12, 7, 9, 7, 12, 15

HELP I WILL GIVE BRAINLIEST
A. 15

B. 9

C. 7

D. 12

Answers

Answer:

D

Step-by-step explanation:

first of all, what is mode: it is the highest occuring number in a set of numbers.

now since 12 is supposed to be the mean and it occurs twice but 9 also occurs twice so for 12 to be the mode, we must add one more 12.

therefore the answer is 12

Answer:

12

Step-by-step explanation:

Mode: the number often being occurred

If the mode is 12 then 12 has to be occurred the most in the set otherwise it can’t be the mode

Then we have- but first let’s set up the numbers in oder to not confuse ourselves!

7, 7, 7, 9, 9, 12, 12, 12, 15, 15

Now we can see that 2 numbers (12 and 15) have been occurred the same way!

Since we’re trying to make the mode equal to 12, that one additional number will have to be 12

•••••••••••••••••••••••••••••••••••••••••••••••••

Note: please mark me as brainliest! If you do, i’ll go to every single one of your questions for now on.

calculate the distance between the point(5,6) and (7,8)​

Answers

the distance of the two points is 2√2

Question 10
Points 2
Elizabeth rides a bicycle 5 miles east and then 12 miles north. How far is she from her starting
point?

Answers

Answer:

Step-by-step explanation:

Elizabeth is 13 miles far from the starting point.

What is the Pythagoras theorem?

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

|AC|^2 = |AB|^2 + |BC|^2    

Elizabeth rides a bicycle 5 miles east and then 12 miles north.

Let consider that AB = 5 miles and BC = 12 miles.

SO,

[tex]|AC|^2 = |AB|^2 + |BC|^2 \\\\|AC|^2 = |12|^2 + |5|^2 \\\\|AC|^2 = 144 + 25\\\\|AC|^2 = 169\\\\|AC| = 13[/tex]

Hence, She is 13 miles far from the starting point.

Learn more about Pythagoras theorem;

https://brainly.com/question/343682

#SPJ2

HELP ASAP


The graph shows a function of the form f(1) = ax + b.
Use the drop-down menus to complete the statements about the function, and then
write an equation that represents this function

Answers

Answer:

The equation of the function: y = mx + b

m = slope = (y₂ - y₁)/(x₂ - x₁) = [5 - (-3)]/(4 - 0) = (5 + 3)/4 = 8/4 = 2b = y-intercept = -3

Therefore, the equation is f(x) = 2x - 3

When x = 0, f(x) = 2(0) - 3 = -3

When x increases by 1, f(x) increases by 2 (slope = the rate of change)

Four cans of cat food and 3 cans of dog food cost $1.99. Four cans of the same cat food and 1 can of the same dog food cost $1.33 hat is the cost of one can of cat food

Answers

Answer:

$0.25

Step-by-step explanation:

We can use System of Equations to find out how much a can of cat food costs.

Let's use variables to represent the cat food and dog food:

x = cost of 1 cat food can

y = cost of 1 dog food can

Here are our 2 equations based on the scenarios in the question:

4x + 3y = 1.99

4x + y = 1.33

Now let's set the second equation to y using basic algebra:

4x + y = 1.33

y = -4x+1.33

And we're going to plug that value of y, which is -4x+1.33 into the first equation and solve:

4x + 3y = 1.99

4x + 3(-4x+1.33) = 1.99

4x + -12x+3.99 = 1.99

-8x + 3.99 = 1.99

-8x = -2

x = 1/4

x = 0.25

1 can of cat food costs $0.25

Hope that helps (●'◡'●)

Answer:

.25

Step-by-step explanation:

set up equations

1)4c+3d=1.99

2)4c+d=1.33

Method of use:Elimination

          4c+3d=1.99

       - (4c+d)=-(1.33)

        ___________

=2d=.66

divide by two on both sides to get .33 for d.

plug in

4c+.33=1.33

subtract .33 on both sides

4c=1

divide by four on both sides to get c

c=1/4 or .25

Find the equation of the line which is perpendicular to the line.
(a) with equcation y=5x-4 and passes through (0,7)

Answers

Answer:

[tex]y = - \frac{1}{5} x + 7[/tex]

Step-by-step explanation:

Slope -intercept form:

y= mx +c, where m is the slope and c is the y- intercept.

Since the given equation is already in the slope-intercept form, we can identify its slope by looking at the coefficient of x.

Slope of given line= 5

The product of the gradients of two perpendicular lines is -1.

m(5)= -1

[tex]m = - \frac{1}{5} [/tex]

Substitute the value of m into the equation:

[tex]y = - \frac{1}{5} x + c[/tex]

Substitute a pair of coordinates to find the value of c.

when x= 0, y= 7,

[tex]7 = - \frac{1}{5} (0) + c[/tex]

c= 7

Thus, the equation of the line is y= -⅕x +7.

Multiply the polynomial vertically:
1/2x^2(12x^2 - 4x + 2)

Answers

Step-by-step explanation:

= 1/2x^2.12x^2 - 1/2x^2.4x + 1/2x^2.2

= 6x^4 - 2x^2 + x

what is the value of a if va- vh is equals to 1

Answers

Answer:

[tex] \displaystyle a = \frac{1+vh}{v}[/tex]

Step-by-step explanation:

we want to figure out a value of a for the following condition

[tex] \displaystyle va - vh = 1[/tex]

to do so factor out v;

[tex] \displaystyle v (a - h )= 1[/tex]

divide both sides by v which yields:

[tex] \displaystyle \frac{(a-h) \cancel{(v)}}{ \cancel{v}}= \frac{1}{v} [/tex]

therefore,

[tex] \displaystyle a-h = { \frac{1}{v}}[/tex]

now,add h to both sides:

[tex] \displaystyle a = \frac{1}{v}+h[/tex]

further simplification if necessary:

[tex] \displaystyle a =\boxed{ \frac{1+vh}{v}}[/tex]

Given:-[tex]\sf{va-vh=1 }[/tex]

To find:-

[tex]\sf{ value~ of ~a }[/tex]

Solution:-

[tex]\sf{ va-vh=1 }[/tex]

factor out of v

[tex]\sf{v(a-h)=1 }[/tex]

Dividing both sides by (v)

[tex]\sf{\dfrac{v(a-h)}{(v)}=\dfrac{1}{(v)} }[/tex]

cancel out (v)

[tex]\sf{\dfrac{\cancel{v}(a-h)}{\cancel{(v)}}=\dfrac{1}{(v)} }[/tex]

[tex]\sf{ a-h=\dfrac{1}{v} }[/tex]

add h in both sides

[tex]\sf{a-h+h=\dfrac{1}{v}+h }[/tex]

cancelout h

[tex]\sf{a-\cancel{h}+\cancel{h}=\dfrac{1}{v}+h }[/tex]

[tex]\sf{a=\dfrac{1}{v}+h }[/tex]

[tex]\boxed{\sf{a=\dfrac{1+vh}{v} } }[/tex]

[tex]\sf{ }[/tex] [tex]\sf{ }[/tex]

Therefore:-

the value of a if va- vh is equals to 1 is [tex]\bold{\dfrac{1+vh}{v} }[/tex]

What is the slope-intercept equation of the line below?
O A. y = 2 x + 1
O B. y --4x+1
O C. y - 4x +1
O D. y--3x+1

Answers

Answer:

A.) y = 3/4x + 1

Step-by-step explanation:

First let's find the slope using the slope formula, (y₂-y₁)/(x₂-x₁). The two points given are (0,1)₁ and (4,4)₂. We have to substitute those values.

y₂ = 4, y₁ = 1, x₂ = 4, x₁ = 0 --> (4 - 1)/(4 - 0) = 3/4

The slope is 3/4.

Now, we have to find the y-intercept, which is where the line meets the y-axis. It touches the y-axis at (0,1). The y-intercept is 1.

Finally, we build our equation in slope-intercept form.

y = mx + b

y = 3/4x + 1

x²- 9x + 20=0 it´s finding solutions for x

Answers

Answer:

Step-by-step explanation:

Sum = -9

Product = 20

Factors = -5 , -4    {-4 * -5 = 20 & -5 + (-4) = -9}

x² - 9x + 20 = 0

x² - 5x  - 4x + 20 = 0     Rewrite middle term

(x² - 5x) - 4x + 20 = 0        Group terms

x(x - 5) - 4(x - 5) = 0         Factor terms

(x-5)(x -4)=0

x -5 = 0   ; x - 4 = 0

x = 5       ; x  = 4

Ans: x = 5 , 4

5/3 to the 3rd power

Answers

Answer:

(5/3)(5/3)(5/3) = 125/27

Step-by-step explanation:

Answer:

[tex]4\frac{17}{27}[/tex]

Step-by-step explanation:

5/3³

5/3 × 5/3 × 5/3

5 × 5 × 5 = 125

3 × 3 × 3 = 27

[tex]\frac{125}{27}[/tex]

[tex]4\frac{17}{27}[/tex]

In order for the parallelogram to be a rhombus, x=?

Answers

Answer:

Step-by-step explanation:

The diagonal must be an angle bisector for a rhombus.

That means that both bisected angles are equal.

2x + 16 = 5x - 8            Add 8 to both sides

2x + 16 + 8 = 5x

2x + 24 = 5x                 Subtract 2x from both sides

24 = 5x - 2x

24 = 3x                         Divide by 3

24/3 = x

x = 8

Find the slope of the line

Answers

The answer is Undefined

Write an equation for a parabola with endpoints of the latus rectum at (-2, 3) and (-2, 15) and the directrix at x = 4.

Answers

Given:

The endpoints of the latus rectum at (-2, 3) and (-2, 15).

The directrix at x = 4.

To find:

The equation of the parabola.

Solution:

The equation of the parabola is:

[tex](y-k)^2=4p(x-h)[/tex]                   ...(1)

Where, [tex]x=h-p[/tex] is directrix and [tex](h+p,k\pm |2p|),p<0[/tex] are the end point of the latus rectum.

The directrix at x = 4. So,

[tex]h-p=4[/tex]               ...(i)

The endpoints of the latus rectum at (-2, 3) and (-2, 15). So,

[tex](h+p,k-|2p|)=(-2,3)[/tex]

[tex](h+p,k+|2p|)=(-2,15)[/tex]

Now,

[tex]h+p=-2[/tex]              ...(ii)

[tex]k-2p=3[/tex]              ...(iii)

[tex]k+2p=15[/tex]           ...(iv)

Adding (i) and (ii), we get

[tex]2h=2[/tex]

[tex]h=1[/tex]

Putting [tex]h=1[/tex] in (i), we get

[tex]1-p=4[/tex]

[tex]-p=4-1[/tex]

[tex]-p=3[/tex]

[tex]p=-3[/tex]

Putting [tex]p=-3[/tex] in (iii), we get

[tex]k-|2(-3)|=3[/tex]

[tex]k-6=3[/tex]

[tex]k=3+6[/tex]

[tex]k=9[/tex]

Putting [tex]h=1,p=-3,k=9[/tex] in (1), we get

[tex](y-(9))^2=4(-3)(x-1)[/tex]

[tex](y-9)^2=-12(x-1)[/tex]

Therefore, the required equation of the parabola is [tex](y-9)^2=-12(x-1)[/tex].

Please help..

A line intersects the points
(21, 18) and (23, 24).
Find the slope of the line.
Slope = [?]

Answers

Answer:

3

Step-by-step explanation:

slope = (24-18)/(23-21) = 6/2 = 3

A t-shirt cost 5 times as much as a singlet. For $800,a trader can buy 32 more singlet than t-shirts. How much does a t-shirt cost

Answers

Answer: [tex]\$100[/tex]

Step-by-step explanation:

Given

T-shirt cost 5 times as much as a singlet

Suppose the price of a singlet [tex]x[/tex]

Price of a T-shirt is [tex]5x[/tex]

According to the question, for $800, trader can buy 32 more singlet than T-shirt

[tex]\Rightarrow \dfrac{800}{x}=\dfrac{800}{5x}+32\\\\\Rightarrow \dfrac{800}{x}-\dfrac{160}{x}=32\\\\\Rightarrow 800-160=32x\\\\\Rightarrow x=20[/tex]

Thus, the price of a T-shirt is [tex]5x=\$100[/tex]

Which expressions are equivalent.

PLEASE HELP ME !!! (photo given) ​

Answers

Answer:

[tex]\frac{2^{5} }{6^{5} } =2^{5} 6^{-6}[/tex]

[tex]=2^5\times (2^{-5} 3^{-5} )[/tex]

[tex]=2^{5-5} 3^{-5}[/tex]

[tex]=2^{0} 3^{-5}[/tex]

[tex]=3^{-5}[/tex]

[tex]OAmalOHopeO[/tex]

Answer:

B(3^-5) and D(2^5*6^-5)

Step-by-step explanation:

I put the expression in to the calculator and put the answers into the calculator and just picked the ones that matched

Let 0 be an acute angle of a right triangle. Evaluate the other five trigonometric functions of 0.

Answers

Answer:

1. Cos θ = 6√2 / 11

2. Tan θ = 7 / 6√2

3. Cosec θ = 11 / 7

4. Sec θ = 11 / 6√2

5. Cot θ = 6√2 / 7

Step-by-step explanation:

From the question given above, the following data were obtained:

Sine θ = 7 / 11

Next, we shall determine the adjacent of the right triangle. This can be obtained as follow:

Sine θ = 7 / 11

Sine θ = Opposite / Hypothenus

Opp = 7

Hypo = 11

Adj =?

Hypo² = Opp² + Adj²

11² = 7² + Adj²

121 = 49 + Adj²

Collect like terms

Adj² = 121 – 49

Adj² = 72

Take the square root of both side

Adj = √72

Adjacent = 6√2

1. Determination of Cos θ

Adjacent = 6√2

Hypothenus = 11

Cos θ =?

Cos θ = Adjacent / Hypothenus

Cos θ = 6√2 / 11

2. Determination of Tan θ

Opposite = 7

Adjacent = 6√2

Tan θ =?

Tan θ = Opposite / Adjacent

Tan θ = 7 / 6√2

3. Determination of Cosec θ

Sine θ = 7 / 11

Cosec θ =?

Cosec θ = 1 ÷ Sine θ

Cosec θ = 1 ÷ 7 / 11

Cosec θ = 1 × 11/7

Cosec θ = 11/7

4. Determination of Sec θ

Cos θ = 6√2 / 11

Sec θ =?

Sec θ = 1 ÷ Cos θ

Sec θ = 1 ÷ 6√2 / 11

Sec θ = 1 × 11 / 6√2

Sec θ = 11 / 6√2

5. Determination of Cot θ

Tan θ = 7 / 6√2

Cot θ =?

Cot θ = 1 ÷ Tan θ

Cot θ = 1 ÷ 7 / 6√2

Cot θ = 1 × 6√2 / 7

Cot θ = 6√2 / 7

how many even factors does 1658880000 have

Answers

Answer:

400

Step-by-step explanation:

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 25, 27, 30, 32, 36, 40, 45, 48, 50, 54, 60, 64, 72, 75, 80, 81, 90, 96, 100, 108, 120, 125, 128, 135, 144, 150, 160, 162, 180, 192, 200, 216, 225, 240, 250, 256, 270, 288, 300, 320, 324, 360, 375, 384, 400, 405, 432, 450, 480, 500, 512, 540, 576, 600, 625, 640, 648, 675, 720, 750, 768, 800, 810, 864, 900, 960, 1000, 1024, 1080, 1125, 1152, 1200, 1250, 1280, 1296, 1350, 1440, 1500, 1536, 1600, 1620, 1728, 1800, 1875, 1920, 2000, 2025, 2048, 2160, 2250, 2304, 2400, 2500, 2560, 2592, 2700, 2880, 3000, 3072, 3200, 3240, 3375, 3456, 3600, 3750, 3840, 4000, 4050, 4096, 4320, 4500, 4608, 4800, 5000, 5120, 5184, 5400, 5625, 5760, 6000, 6144, 6400, 6480, 6750, 6912, 7200, 7500, 7680, 8000, 8100, 8192, 8640, 9000, 9216, 9600, 10000, 10125, 10240, 10368, 10800, 11250, 11520, 12000, 12288, 12800, 12960, 13500, 13824, 14400, 15000, 15360, 16000, 16200, 16384, 16875, 17280, 18000, 18432, 19200, 20000, 20250, 20480, 20736, 21600, 22500, 23040, 24000, 24576, 25600, 25920, 27000, 27648, 28800, 30000, 30720, 32000, 32400, 32768, 33750, 34560, 36000, 36864, 38400, 40000, 40500, 40960, 41472, 43200, 45000, 46080, 48000, 49152, 50625, 51200, 51840, 54000, 55296, 57600, 60000, 61440, 64000, 64800, 67500, 69120, 72000, 73728, 76800, 80000, 81000, 81920, 82944, 86400, 90000, 92160, 96000, 98304, 101250, 102400, 103680, 108000, 110592, 115200, 120000, 122880, 128000, 129600, 135000, 138240, 144000, 147456, 153600, 160000, 162000, 163840, 165888, 172800, 180000, 184320, 192000, 202500, 204800, 207360, 216000, 221184, 230400, 240000, 245760, 256000, 259200, 270000, 276480, 288000, 294912, 307200, 320000, 324000, 331776, 345600, 360000, 368640, 384000, 405000, 409600, 414720, 432000, 442368, 460800, 480000, 491520, 512000, 518400, 540000, 552960, 576000, 614400, 640000, 648000, 663552, 691200, 720000, 737280, 768000, 810000, 819200, 829440, 864000, 884736, 921600, 960000, 1024000, 1036800, 1080000, 1105920, 1152000, 1228800, 1280000, 1296000, 1327104, 1382400, 1440000, 1474560, 1536000, 1620000, 1658880, 1728000, 1843200, 1920000, 2048000, 2073600, 2160000, 2211840, 2304000, 2457600, 2560000, 2592000, 2654208, 2764800, 2880000, 3072000, 3240000, 3317760, 3456000, 3686400, 3840000, 4096000, 4147200, 4320000, 4423680, 4608000, 5120000, 5184000, 5529600, 5760000, 6144000, 6480000, 6635520, 6912000, 7372800, 7680000, 8294400, 8640000, 9216000, 10240000, 10368000, 11059200, 11520000, 12288000, 12960000, 13271040, 13824000, 15360000, 16588800, 17280000, 18432000, 20480000, 20736000, 22118400, 23040000, 25920000, 27648000, 30720000, 33177600, 34560000, 36864000, 41472000, 46080000, 51840000, 55296000, 61440000, 66355200, 69120000, 82944000, 92160000, 103680000, 110592000, 138240000, 165888000, 184320000, 207360000, 276480000, 331776000, 414720000, 552960000, 829440000, 1658880000

At a certain point from a pole, the angle of the elevation to the top of the pole is 28 degrees if the pole is 6.3 feet tall, what is the distance from the pole

Answers

Answer:

11.85

Step-by-step explanation:

Tan 28 = opposite / adjacent

Answer:

the distance from the pole is 11.85 ft.

Step-by-step explanation:

Given;

the elevation to the top of the pole, θ = 28⁰

height of the pole, h = 6.3 ft

let the distance from the pole = x

If a sketch of a right triangle is made as follows, it will be observed that the base of the triangle forms the adjacent side of the triangle, which is equal to x.

                                ↑

                                ↑ h = 6.3 ft

                                ↑

         28⁰ ---------------

                       x

[tex]tan(28) = \frac{6.3}{x} \\\\x = \frac{6.3}{tan(28)} \\\\x = 11.85 \ ft[/tex]

Therefore, the distance from the pole is 11.85 ft.

Given that a box has 3 blue marbles, 2 red marbles, and 4 yellow marbles, use the probability formulas to answer the following questions. Reduce all fractions. Use / as the fraction bar and do not use any spaces. What is the probability of... Drawing a blue marble?
P( Answer
)= Answer

Drawing a marble that is not red?
P( Answer
)= Answer

Drawing a red and yellow marble?
P( Answer
)= Answer

Drawing a red or blue marble.
P( Answer
)= Answer

Drawing a red marble, put it back, and then drawing a yellow marble?
P( Answer
)= Answer

Drawing a yellow marble, keeping it, and then drawing another yellow marble?
P( Answer
)= Answer

Drawing a yellow marble, given that a red marble was drawn on the first draw and not replaced?
P( Answer
)= Answer

Answers

Answer:

drawing a blue marble is a harder then the yellow but not as hard as the red.

A random variable X has a Poisson distribution with a mean of 3. What is the probability that X P(1≤X≤3) ?.

Answers

Answer:

P(1≤X≤3) = 0.5974

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

Mean of 3

This means that [tex]\mu = 3[/tex]

P(1≤X≤3) ?

[tex]P(1 \leq X \leq 3) = P(X = 1) + P(X = 2) + P(X = 3)[/tex]

So

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494[/tex]

[tex]P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.2240[/tex]

[tex]P(X = 3) = \frac{e^{-3}*3^{3}}{(3)!} = 0.2240[/tex]

So

[tex]P(1 \leq X \leq 3) = P(X = 1) + P(X = 2) + P(X = 3) = 0.1494 + 0.2240 + 0.2240 = 0.5974[/tex]

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