both pictures go together

Both Pictures Go Together
Both Pictures Go Together

Answers

Answer 1

The probabilities of the events are P(A) = 4/7. P(B) = 1/2, P(A and B) = 1/7, P(A | B) = 2/7 and P(B) * P(A | B) = 1/7

The probability that equals P(A and B) is P(B) * P(A | B)

How to calculate the probabilities of the events

From the question, we have the following parameters that can be used in our computation:

The Venn diagram

Where, we have

A = 8

B = 7

A and B = 2

Neither = 1

Total = 14

So, we have

P(A) = 8/14 = 4/7

P(B) = 7/14 = 1/2

P(A and B) = 2/14 = 1/7

P(A | B) = (1/7)/(1/2) = 2/7

P(B) * P(A | B) = 1/2 * 2/7 = 1/7

How to calculate the probability that equals P(A and B)

In (a), we have

P(A and B) = 1/7

Also, we have

P(B) * P(A | B) = 1/7

This means that the probability that equals P(A and B) is P(B) * P(A | B)

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Related Questions

Scott wants to put soil in his garden shown below. If soil comes in bags that fill 3 square yards each, how many bags of soil should Scott buy

Answers

Answer:

5

Step-by-step explanation:

Becuase his backyard is 15 square yards.

Wally counted 200 pennies from his piggy bank. He kept 80% of them. How many pennies did Wally keep?
Select one:

160

60

80

120

Answers

The correct answer is A 160

Given the following information, find the length of the missing side. Leave your answer as a simplified radical.

Answers

Answer:

Long = 6√3

Step-by-step explanation:

Reference angle = 30°

Hypotenuse = 12

Long = Adjacent = ?

Apply CAH:

Cos 30 = Adj/Hyp

Cos 30 = Long/12

12*cos 30 = Long

12*√3/2 = long (cos 30 = √3/2)

6√3 = long

Long = 6√3

Answer:

6√3

Step-by-step explanation:

To find the long leg first we have to find the short leg because to find the long leg we need to use short · √3.

hypotenuse =12, short = 1/2 of hypotenuse so short leg = 6 and finally long leg = 6√3

Gordon decided on purchasing a $141,000 home. At closing he brought a check for $7570. The closing costs were as follows: Title Fee $545 Processing Fee $2100 Appraisal $695 Based on this information, how many points did Gordon purchase? O A. 2 B. O C. 1 OD. 3​

Answers

Answer:

D. 3 points purchased

Step-by-step explanation:

Took the bullet

Option D is correct, based on the information Gordon purchased 3 point

What is Fraction?

A fraction represents a part of a whole.

Given that Gordon decided on purchasing a $141,000 home.

At closing he brought a check for $7570.

One point is equal to 3% of the total loan amount, so the cost of one point would be:

Cost of one point = 3% of $130,090

Cost of one point = $3,902.70

To find out how many points Gordon purchased

we need to divide the total cost of points by the cost of one point:

Number of points = Total cost of points / Cost of one point

Number of points = $10,910 / $3,902.70

Number of points = 2.8

=3

Therefore, based on the information Gordon purchased 3 points, Option D is correct.

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Ellie is an African elephant. When she was born, she weighed about 200 pounds. As an adult, she weighs 7 tons! How many pounds did Ellie gain over her lifetime?

Answers

Answer:

13,800 pounds

Step-by-step explanation:

one ton = 2000 pounds

7 tons = 14,000 pounds

14,000 - 200 = 13,800 pounds

Write an expression to m + m + m + m that is the sum of two terms

Answers

Answer: 2m + 2m

Step-by-step explanation: m + m is 2m and the same for the other two m's which is why m + m + m + m is 2m + 2m

Answer and Step-by-step explanation:

The obvious answer to this question is 2m + 2m, or 3m + m.

These expressions show two terms that can be added together.

#teamtrees #PAW (Plant And Water)

I see a Dreamer over there by the water.

twitch.tv/Tommyinnit

If 5% of a number equals 8, find 50% of that number.

Answers

Answer:

80 will be the answer.

Step-by-step explanation:

Let the number be x.

5% of x=8

(5/100)*x=8

x=(8*100)/5

x=160

Now,

50% of 160

=(50/100)*160

=80

Can someone help me with this right now? :(

Answers

Answer:

A- 6/x^2

Step-by-step explanation:

Is 2,12 4,24 6,36 8,48 10,60 proportional

Answers

Answer:

Yes

Step-by-step explanation:

12 divided by 2 = 6, 24 divided by 4 = 6, 36 divded by 6 = 6, 48 divded by 8 = 6, 60 divided by 10 = 6.  

All answers have 6 so yes it is proportional.

Find c in this special right triangle. *



Please help it’s due in an hour!

Answers

Answer:

Step-by-step explanation:

Can someone help me. Can you show work. Please don’t answer anything that isn’t related, I’ll report or flagged you if u do.

Answers

Answer:

Yes, Chris will score.

Step-by-step explanation:

To get the ball in the goal, the ball must be below 8ft (the height of the goal) when the ball passes the 25ft mark; ie, Chris will score if f(x)<8 when x=25:

f(x)=-0.05(x-16)²+11

f(25)=-0.05(25-16)²+11

=-0.05(9²)+11

=-0.05(81)+11

=11-4.05

=6.95

Since 6.95<8, we can see that Chris will score if Deshawn doesn't block the ball.

HELP DUE IN 2 MINUTESS!!!! PLS HELP
An Urn contains 6 red marbles and 9 white marbles. A marble is drawn and put back into the urn. Both marbles were red. If another marble is drawn, what is the probability of it being white?

Answers

Answer:

3/5

Step-by-step explanation:

favorable outcomes/total number of outcomes=probability

Answer:

[tex] \frac{3}{5} [/tex]

Step-by-step explanation:

Previous extractions do not influence the probability

I BEG FOR MY LIFE EZ PLS

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Answers

Answer:

Step-by-step explanation:

Answer:

B and D

Step-by-step explanation:

The volume of a rectangular prism is found by multiplying the base, height and depth. So, to find the correct answer, multiply each and see which are equal to 72:

A) 7*3*5 = 105

B) 8*9*1 = 72

C) 3*8*4 = 96

D) 12*3*2 = 72

E) 3*4*5 = 60

Since B and D are the only ones that equal 72, they are the possible answers to give a volume of 72 units cubed.

first one how you do it and the second one is the problem

Answers

You didn’t upload any picture maybe you forgot to

What are the zeros of the function f (2) = 12 (2 + 4)?

A. (0,0) and (-4, 0)
B. (1, 0) and (-4, 0)
C. (1, 0) and (4, 0)
D. (0,0) and (4, 0)

Answers

Answer:

A. (0,0) and (-4, 0)

Step-by-step explanation:

f (2) = 12 (2 + 4)

f (x) = 12 (x + 4)

x + 4 = 0

x =  -4

12 = (0,0)

The 12 is on the outside and is multiplied to x + 4 so the 12 is considered a zero.

(0, 0) and (-4,0)

In a cookie jar, 1/4 of the cookies are chocolate chip and 2/3 of the rest are peanut butter. What fraction of all the cookies is peanut butter?

Answers

Answer:

1/2 of the cookies are peanut butter.

Step-by-step explanation:

Since 1/4 of the cookies are chocolate chip, this leaves the other 3/4 of the jar, which is equivallent to 75/100. Since 2/3 of 75 is 50, or, 1/2, the answer is 1/2.

Find the center and radius of the circle represented by the equation below. 100pts

Answers

Answer:

centre = (- 5, - 2 ) , radius r = 18

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r the radius

(x + 5)² + (y + 2)² = 324 ← is in standard form , that is

(x - (- 5))² + (y - (- 2))² = 18²

with centre = (- 5, - 2 ) and r = 18

Answer:

Center = (-5, -2)

Radius = 18

Step-by-step explanation:

The equation of a circle in standard form is:

[tex]\boxed{\begin{minipage}{4 cm}\underline{Equation of a circle}\\\\$(x-h)^2+(y-k)^2=r^2$\\\\where:\\ \phantom{ww}$\bullet$ $(h, k)$ is the center. \\ \phantom{ww}$\bullet$ $r$ is the radius.\\\end{minipage}}[/tex]

If we compare the given equation of (x + 5)² + (y + 2)² = 324 to the standard form, we get:

h = -5y = -2r² = 324

Therefore, the center of the circle is (-5, -2).

To find the radius, square root 324:

[tex]r^2=324 \implies r=\sqrt{324}=18[/tex]

Therefore, the radius of the circle is 18.

How can I find the unknown side lengths when given the area or circumference of a figure?

Answers

Answer:

Set up the area/circumference equations using x as the unknown variable. Then, solve for that variable and apply the correct unit.

Step-by-step explanation:

For example,

Find the side length of a square with an area of 49 square centimeters.

Since [tex]area=s^{2}[/tex], i can write [tex]49=s^2\\then take the square root of each side to solve for s.\\s=\sqrt{49} \\s=7 centimeters[/tex]

What is fraction is equal 54%

Answers

Answer:

27/50

20 character minimum

I think the answer is complementary angles but I’m not sure. HELP! Thanks (:

Answers

Answer:

Angle 3 is greater than angle 4

TrUsT mE

Answer:

2nd option..... Angles 3 and 4 are complementary Angles.

The following results are for two independent samples taken from the two populations. Sample 1 Sample 2 n1 = 40 n2 = 50 x1 = 25.7 x2 = 22.8 σ1 = 5.3 σ2 = 6 (a) What is the value of the test statistic? (Round your answer to two decimal places.)

Answers

Answer:

the value of the test statistic is 2.43

Step-by-step explanation:

The computation of the value of the test statistic is shown below:

[tex]z = \frac{\bar x _1 - \bar x _2}{\sqrt{\frac{\sigma_1^2 + \sigma_2^2}{n_1 + n_2} } }[/tex]

[tex]= \frac{25.7 - 22.8}{\sqrt{\frac{5.3^2}{40}+ \frac{6^2}{50} } }\\\\= \frac{25.7 - 22.8}{\sqrt{0.70225 + 0.72} }\\\\= \frac{2.9}{1.19258}[/tex]

= 2.43

Hence, the value of the test statistic is 2.43

The same would be considered and relevant by applying the above formula  

Mr. Brady is using a coordinate plane to design a treasure hunt for his students. The hunt begins at the flagpole. The first clue is hidden 5 units north of the flagpole. The second clue is located 6 units east of the flagpole. Clue 2 says that Clue 3 is located 5 units south of the flagpole. N -4 -2 o N 4 6 X -2 -4 Plot the locations of the flagpole and the 3 clues on the coordinate grid and show the path students will follow with straight lines. Each unit represents 50 feet. What is the shortest combined distance along the path from the flagpole to Clue 1 to Clue 2 to Clue 3? Round to the nearest foot if necessary. ​

Answers

Answer:

The figure is attached and the total distance is 1031 feet.

Step-by-step explanation:

The graph is indicated in the attached figure.

For calculation of distance consider following

Point Flagpole is (0,0)

Point Clue1 is (0,5)

Point Clue2 is (6,0)

Point Clue3 is (0,-5)

So the distance is calculated as follows

[tex]d_{T}=[d_{FP\ to\ Clue1}+d_{Clue1\ to\ Clue2}+d_{Clue2\ to\ Clue3}]*distance\ per\ unit\\d_{T}=[\sqrt{(Clue1_x-FP_x)^2+(Clue1_y-FP_y)^2}+\sqrt{(Clue2_x-Clue1_x)^2+(Clue2_y-Clue1_y)^2}+\sqrt{(Clue3_x-Clue2_x)^2+(Clue3_y-Clue2_y)^2}]**distance\ per\ unit\\[/tex]Substituting the values

[tex]d_{T}=[\sqrt{(0-0)^2+(5-0)^2}+\sqrt{(6-0)^2+(0-5)^2}+\sqrt{(0-6)^2+(-5-0)^2}]*50 \text{ feet}\\d_{T}=[\sqrt{(0)^2+(5)^2}+\sqrt{(6)^2+(-5)^2}+\sqrt{(-6)^2+(-5)^2}]*50 \text{ feet}\\d_{T}=[\sqrt{0+25}+\sqrt{36+25}+\sqrt{36+25}]*50 \text{ feet}\\d_{T}=[\sqrt{25}+\sqrt{61}+\sqrt{61}]*50 \text{ feet}\\d_{T}=[5+7.81+7.81]*50 \text{ feet}\\d_{T}=[20.62]*50 \text{ feet}\\d_{T}=1031 \text{ feet}\\[/tex]

So the total distance travelled is 1031 feet.

Pls help me marking brainliest.

Answers

Answer:

The following statements are true.

A rhombus is a parallelogram with equal sides. In a parallelogram, opposite sides are equal.

The area of a rhombus is found using the formula A = b × h. b and h represents the base and height of the rhombus respectively.

The area is found the same way for both a rhombus and a parallelogram. The formula, area = base × height can be used for both rhombus and parallelogram.

Step-by-step explanation:

I'm not an ace nor a genius but here are the correct answers (again)..

A group of 19 boys and 18 girls are attending a pottery class. Each pottery table can seat 6 people.

What is the least number of tables needed to seat the group?

Answers

Answer:

7

Step-by-step explanation:

37 People / 6 is 6.18 Rounded up is 7

45 × _____ ÷ 15 = 45

Answers

Answer:

15

Step-by-step explanation:

45 × 15 = 675

675/15 = 15

Answer:

15

Step-by-step explanation:

45x15=675

675/15=45

20 POINTS FOR ANSWERING ALL PARTS

Answers

Answer:

wont let me download

Step-by-step explanation:

-4x + 3y = -2

Y = x - 1

Answers

Answer:

(-1, -2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsSolving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define

-4x + 3y = -2

y = x - 1

Step 2: Solve for x

Substitution

Substitute in y:                                                                                                  -4x + 3(x - 1) = -2[Distributive Property] Distribute 3:                                                                 -4x + 3x - 3 = -2Combine like terms:                                                                                         -x - 3 = -2[Addition Property of Equality] Add 3 on both sides:                                     -x = 1[Division Property of Equality] Divide -1 on both sides:                                 x = -1

Step 3: Solve for y

Substitute in x [Original Equation]:                                                                  y = -1 - 1Subtract:                                                                                                            y = -2

I need help on 8

...............................

Answers

Answer:

55

Step-by-step explanation:

60 minutes is an hour 60 - 5 is 55

Answer:

55

Step-by-step explanation:

60 minutes is an hour 60 - 5 is 55

ANSWER !!
ILL GIVE 40 POINTS !!
DONT SKIP :((
PLUS BRAINLIEST !

Answers

Answer:

−3i√2

Yeah pretty sure that is right

Harry wants to ride his bicycle the same of miles every day. His goal is to ride 46 miles. If he rides 4 miles each morning and 3 miles each night,how many days will it take him to reach 46 miles

Answers

7 days king is the the answer
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