Peter and Mary take turns throwing one dart at the dartboard. Peterhits the bulls eye with probabilitypand Mary hits the bullseye with probabilityr.Whoever hits the bullseye first wins. Suppose Peter throws the first dart.(a) What is the probability that Mary wins

Answers

Answer 1

Answer:

[tex]P(Mary) = (1 - p) * r[/tex]

Step-by-step explanation:

Given

[tex]p \to[/tex] Peter hits

[tex]r \to[/tex] Mary hits

Required

The probability that Mary wins

From the question, we understand that Peter throws the first.

If Mary is to win, then Peter has to lose his throw

Using the complement rule, the probability that Peter misses is:

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

So, the probability that Mary wins is:

[tex]P(Mary) = p' * r[/tex]

This gives:

[tex]P(Mary) = (1 - p) * r[/tex]


Related Questions

The perimeter of the figure below is 179.3 ft. Find the length of the missing side.

Answers

Answer:

13 ft

Step-by-step explanation:

8(13.3) + 2(23.8) + 12.3 = 166.3

179.3 - 166.3 = 13

Express 367 as a number in base 5

Answers

Answer:

[tex] = 367 \div 5 = 73 \: rem5 \\ = 73 \div 5 = 14 \: rem6 \\ = 14 \div 5 = 2 \: rem8 \\ = > 2865 _{five}[/tex]

Warner was paid $375.25 for working 25 hours. What was his hourly pay?

Answers

Answer:

$15.01 an hour

Step-by-step explanation:

[tex]\frac{375.25}{25}=15.01[/tex]

someone help me pleaseeee

Answers

Answer:

huuu wate a few minutes

I will help you

Write the place value of the underlined digit. each answer, 1 point)
(a thousands b. hundreds ctens d. ones e tenths f. hundredths g. thousandths)
9.0631 3place?
32.158 1 place?
28.537 8 place?​

Answers

Answer:

tenths

Step-by-step explanation:

ones

thousanths

Classify the quadrilateral, and then find the value of the variable for each figure:

Answers

Answer:

[tex]x=4,\\y=8[/tex]

Step-by-step explanation:

Notice that in the diagram, opposite sides are equal. This is true for any rectangle, so even without the equal sides being marked, we'd know that each pair of opposite sides have the same length.

Therefore, we can set up the following equations and solve for [tex]x[/tex] and [tex]y[/tex]:

[tex]2y=y+8,\\y=\boxed{8}[/tex]

[tex]4x-8=2x,\\-8=-2x,\\x=\boxed{4}[/tex]

What is the missing numerator?

4/6 - ?/8 = 14/48


A.) 05
B.) 04
C.) 03
D.) O2

Answers

The answer is b)04 I did this on my test and got it correct
the answer is B.) 04 hope helps did before

I REALLY NEED HELP WITH THIS!!!! I NEVER LEARNED THIS BEFORE!!!!! HEELLLPPPPP!!!!!!

Answers

Answer:

1

Step-by-step explanation:

just is

Answer:

C

Step-by-step explanation:

5/6 + 1/12 need the same denominator.

(5/6) * 2

10/12 + 1/12

11/12

This is almost one whole, ( 11/12 ~ 1) therefore, C is the best answer.

Have a great day! Hope I helped!

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
X + 5y = -20

Answers

Answer:

[tex]y = \frac{-1}{5}x -4[/tex]

Step-by-step explanation:

[tex]x + 5y = -20\\\\5y = -x - 20\\\\y = \frac{-1}{5}x - 4[/tex]

If the sun is 63 degrees above the horizon what is the length of the shadow cast by a 79 ft building

Answers

X=70ft is the correct answer

8
[tex] \frac{50}{100} [/tex]

Answers

What’s the question?

[tex]\sf\purple{0.5}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{50}{100} \\ = \frac{1}{2} \\ = 0.5[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Please someone help me here....

Answers

Answer:

n > 62

Step-by-step explanation:

All values in the set are greater than 62.

Answer: n > 62

Answer:

Top left corner

Step-by-step explanation:

Just Ignore Q5 if you don’t know so plz don’t answer plz give me the answer of Q3 fast fast

Answers

x= 59. 68+2x+4=180. Combine like terms (68 and 4) 72+2x=180 subtract 180-72=118 then divide by two to get x. If it’s wrong my bad

Answer:

2x + 4 = 6x

68 = 6x

6 6

11.33

11.3 = x

Angle 3 and angle 8 are corresponding. So we firstly find 2x + 4 which is 6x

Since we are looking for x we divide 68 from 6 which gives u 11.3

Can someone tell me how to give the brainliest award out. You will get it if you answer first

Answers

Answer:

you click the crown :)

Step-by-step explanation:

hope this helps!

Answer:

Just click on the words "Award Brainliest" on top of the answer of a user to a certain question of yours.

Step-by-step explanation:

3.a circle of radius 5 units passes through the points (- 3,3) and (3,1) .
i.how many circles can be drawn that meet the given criteria?
ii. what can be the centre of a circle(S)
b. the equation of any two diameters of a circle are given by the straight lines x-y-4=0 and 2x+ 3y + 7 =0.
find the equation of the circle if it passes through the point (2,4).​

Answers

Answer:

See below

Step-by-step explanation:

Given:

Points (- 3,3) and (3,1) on a circler = 5

i.

There are possible two points that can have a distance of 5 units from both of the given points, so possible two centers, hence two possible circles.

ii.

Let the points are A and B and the centers of circles are F and G.

The midpoint of AB, the point C is:

C = ((-3 + 3)/2, (3 + 1)/2) = (0, 2)

The length of AB:

AB = [tex]\sqrt{(3 + 3)^2 + (1 - 3)^2} = \sqrt{6^2+2^2} = \sqrt{40} = 2\sqrt{10}[/tex]

The distance AC = BC = 1/2AB = [tex]\sqrt{10}[/tex]

The distance FC or GC is:

FC = GC = [tex]\sqrt{5^2-10} = \sqrt{15}[/tex]

Possible coordinates of center are (h, k).

We have radius:

(h + 3)² + (k - 3)² = 25(h - 3)² + (k - 1)² = 25

Comparing the two we get:

(h + 3)² + (k - 3)² = (h - 3)² + (k - 1)²

Simplifying to get:

k = 3h + 2

We consider this in the distance FC or GC:

h² + (k - 2)² = 15h² + (3h + 2 - 2)² = 1510h² = 15h² = 1.5h = √1.5 orh = - √1.5

Then k is:

k = 3√1.5 + 2 ork = -3√1.5 + 2

So coordinates of centers:

(√1.5, 3√1.5 + 2) for G or(√1.5, 3√1.5 + 2) for F (or vice versa)

-------------------------------------------------------------------------------------

b.

Diameters:

x - y - 4 = 02x + 3y + 7 = 0

The intercession of the diameters is the center. We solve the system above and get. Not solving here as it is already a long answer:

x = 1, y = -3

The point (2, 4) on he circle given.

Find the radius which is the distance between center and the given point:

r = [tex]\sqrt{(2 - 1)^2+(4+3)^2} = \sqrt{1^2+7^2} = \sqrt{50}[/tex]

The equation of circle:

(x - 1)² + (y + 3)² = 50

The cost of 3 pounds of grapes is $9.75. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of grapes, x? pls help, its due by the end of the day (3 pm)

Answers

Answer:

3.75

Step-by-step explanation:

We can write a ratio to solve

3 lbs             x lbs

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

9.75            y dollars

Using cross products

3y = 9.75 x

Divide each side by 3

3y/3 = 9.75x/3

y =3.75x

The constant is 3.75

express 21/4 in the decimal form by long division method​

Answers

Answer:

5.25

Step-by-step explanation:

Convert the fraction to a decimal by dividing the numerator by the denominator.

The figure shows a plane slicing through a cone. The plane is neither parallel nor perpendicular to the base of the cone, and the plane does not intersect the base of the cone.

Answers

Answer:   Ellipse

==================================================

Explanation:

Imagine that this plane was a saw blade, or a laser, that cut the cone. We would have two pieces and each piece would have a shape of an ellipse on them. The cutting plane would also have the same ellipse shape.

Or you think of the cutting plane as a flat piece of cloth. If we cut everything around the cone, then we would have an ellipse shaped hole as a result.

The reason why we get an ellipse and not a circle is because the plane is angled like that. It needs to be perfectly parallel to the circular base in order to get a circular cross section.

Joseph bought a box of pens for $15.98. The price included a $1.25 donation to the local
food drive. Tina bought 3 boxes of the same type of pens, but did NOT donate to the
drive. How much did she pay for the pens?
(Lesson 1)

Answers

Answer:

$44.19

Step-by-step explanation:

15.98-1.25=14.73

14.73*3-44.19

Answer:

$44.19

Step-by-step explanation:

1 box if pen including donation= $15.98

1 box of pen without donation= $15.98-$1.25

=$14.73

3 box of pen without donation= $14.73×3

=$44.19

help with this question

Answers

9514 1404 393

Answer:

  A = 49π/36 or 59π/36

Step-by-step explanation:

The given angle is coterminal with the same angle modulo 2π.

  (563/36)π = 14π +(59/36)π

so the coterminal angle is 59π/36 ≈ 1.6389π, a 4th-quadrant angle. The 3rd-quadrant angle with the same sine value is found by subtracting this angle from 3π:

  A = 3π -(59π/36) = 49π/36

The two values of A that satisfy the equation are ...

A = 59π/36A = 49π/36

_____

In degrees, the two angles are 245° and 295°.

Justin earns $75 per week . How much does he earn in 30 weeks

Answers

the answer is $2,250

Answer:

$2,250

Step-by-step explanation:

$75=1 week

$75×30=$2,250

=
3x-2
6
which of the following is the inverse of f(x)?
2x-3
6
O A. f-'(x) = 2x
O f-
B. F'(x) = 6452
O C. F'(x) = 6*+2
O D. F'(x) = 2***

Answers

Answer:

i thi nk correct answer is b so

Can someone help me with think fast?

Answers

Answer:

124

Step-by-step explanation:

A supplementary angle is 180

180-56=124

124 is the answer hope this helps

Which of the following statements are true about solids shown above
Check all that apply
A prism a has a lateral surface are of 60 cm 2
B prism b has a total surface are of 110 cm 2
C prism b has larger surface area
D prisms A and B have different values for lateral surface area

Answers

Ans its b and c

Step-by-step explanation:

The length of a rectangle is 4 inches less than twice its width. If the perimeter of the rectangle is 64 inches, what are the dimensions of the rectangle?

Show work please

Answers

Answer:

Step-by-step explanation:

Need help





Nnsndndndnddn

Answers

Answer:

A. x = 50

Step-by-step explanation:

x° + (x + 10)° + (x + 20)° = 180° (sum of interior angles of a triangle)

Solve for x

x + x + 10 + x + 20 = 180

Add like terms

x + x + x + 10 + 20 = 180

3x + 30 = 180

Subtract 30 from each side

3x + 30 - 30 = 180 - 30

3x = 150

Divide both sides by 3

3x/3 = 150/3

x = 50

Determine the length of AC¯¯¯¯¯¯¯¯.

Answers

I’m not sure what length your looking for so I found the length in a triangle so the Length AC is the hypotenuse as it is the longest side and is opposite the right angle.
Also I found on for the length of the line segment AC is 12 units long

simplify : sqrt(25-10sqrt(3) +3)

Answers

Answer:

3.26794919243

Step-by-step explanation:

alytic Geometry_S2_2020
Instruction
Active
Using Similarity Transformations to Determine Similarity
y
What steps would you take to determine if these figures
are similar? Check all that apply.
A"
B"
4
Use a scale factor of 2.
Multiply the vertices of polygon ABCD by 1
2
D'
CH
x
4
4
Translate the intermediate image 4 units down.
Perform two different dilations.
Reflect the intermediate image.
D
B
ctivity

Answers

Answer and Step-by-step explanation:

I think that the answer choices:

- Multiply the vertices of polygon ABCD by [tex]\frac{1}{2}[/tex]

- Reflect the intermediate image.

These transformations would be a step in the process of determining if the figures are similar.

#teamtrees #PAW (Plant And Water)

Karen has calls has 500 or 900 yards of thick soft wool, she has 200 feet at the strore they have 500 feet of wool. How many balls should she buy

Answers

Answer:

Yes.

Step-by-step explanation:

Because yes.

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