A bag contains 4 g r e e n marbles, 8 b l a c k marbles, and 7 b l u e marbles. If a marble is drawn from the bag, replaced, and another marble is drawn, what is the probability of drawing first a g r e e n marble and then a b l u e marble

Answers

Answer 1

Answer:

[tex]P(Green\ and\ Blue) = 0.0776[/tex]

Step-by-step explanation:

Given

[tex]Green = 4[/tex]

[tex]Black = 8[/tex]

[tex]Blue=7[/tex]

Required

Determine the probability of selecting green then blue marble

This probability is represented as:

[tex]P(Green\ and\ Blue)[/tex]

And it is calculated using:

[tex]P(Green\ and\ Blue) = P(Green) * P(Blue)[/tex]

[tex]P(Green\ and\ Blue) = \frac{n(Green)}{Total} * \frac{n(Blue)}{Total}[/tex]

Total marble is:

[tex]Total = 4 + 8 + 7[/tex]

[tex]Total = 19[/tex]

So, we have:

[tex]P(Green\ and\ Blue) = \frac{4}{19} * \frac{7}{19}[/tex]

[tex]P(Green\ and\ Blue) = \frac{4*7}{19*19}[/tex]

[tex]P(Green\ and\ Blue) = \frac{28}{361}[/tex]

[tex]P(Green\ and\ Blue) = 0.0776[/tex] -- approximated

Hence, the required probability is approximately 0.0776


Related Questions

Positive five can also be expressed as which of the following?


Plus 5


Negative 5


-5


Minus 5

Answers

Answer: The first one; Plus 5

Step-by-step explanation: The rest of the answers are all negative 5.

Answer:

+5

Step-by-step explanation:

For a random sample of Harvard University psychology majors, the responses on political ideology had a mean of 3.18 and standard deviation of 1.72 for 51 nonvegetarian students and a mean of 2.22 and standard deviation of .67 for the 20 vegetarian students. When we use software to compare the means with a significance test, we obtain the following printout.Variances T DF Prob>|T|Unequal 2.9146 41.9 0.006Interpret the P-value, in context, based on its definition.

Answers

Answer:

From the test give in the question it is obvious that  there is enough evidence to show that population mean varies for vegetarian and non-vegetarian

The P-value helps affirm the null hypothesis claims,The P-value attains  values relatively as large as that which exists in the sample given,if the null hypothesis is right

Step-by-step explanation:

From the question we are told that

Sample mean [tex]\=x_1=3.18[/tex]

Standard deviation [tex]\delta_! =1.72[/tex]

Sample size [tex]n_1 =51[/tex]

Sample mean [tex]\=x_2=2.22[/tex]

Standard deviation [tex]\delta_2 =0.67[/tex]

Sample size [tex]n_2=20[/tex]

Generally this is a two tailed test

therefore

   Null hypothesis  = [tex]h_0 :P_v_e_g= P_n_o_n_v_e_g[/tex]

  Alternative hypothesis [tex]H_a : P_v_e_g \neq P_n_o_n_v_e_g[/tex]

From the test give in the question it is obvious that  there is enough evidence to show that population mean varies for vegetarian and non-vegetarian

The P-value helps affirm the null hypothesis claims,The P-value attains  values relatively as large as that which exists in the sample given,if the null hypothesis is right

Your income determines your credit score

true or false​

Answers

Your income determines your credit score

False.

Your income can sometimes affect your credit score, but it's not based on it. Your credit score is based on your Payment history, Credit history, and debt.


ABCD is a parallelogram. If m

Answers

Um please continue the question, thanks!

need the answer thank you!

Answers

Answer:

256.

Step-by-step explanation:

1 × 4 = 4

4 × 4 = 16

16 × 4 = 64

64 × 4 = 256

Answer:

4 square n

Step-by-step explanation:

I follow my understanding it want a simplified formula to find out the nth which the n is randomly...Hope it can help you ....

Given the points A(3, -8) and B(1, 2), what is the approximate length of AB?
O 10.2
O 6.3
O 10.8
O 7.2
O 12.2

Answers

Answer:

[tex]d \approx 10.2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra II

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point A (3, -8)

Point B (1, 2)

Step 2: Find distance d

Substitute [DF]:                    [tex]d = \sqrt{(1-3)^2+(2+8)^2}[/tex]Subtract/Add:                       [tex]d = \sqrt{(-2)^2+(10)^2}[/tex]Exponent:                             [tex]d = \sqrt{4+100}[/tex]Add:                                      [tex]d = \sqrt{104}[/tex]Simplify:                                [tex]d = 2\sqrt{26}[/tex]Evaluate:                              [tex]d = 10.198[/tex]Round:                                 [tex]d \approx 10.2[/tex]

Answer:

10.2

Step-by-step explanation:

how to do this question pls tell mme

Answers

Answer:

x = 35°

y = 55°

Step-by-step explanation:

60° + 50° + 2x = 180° (Sum of angles on a straight line is 180°)

2x = 180° - 110°

x = 70°/2 = 35°

2x + 2y = 180°( Sum of interior angles of a triangle is 180°)

2× 35° + 2y = 180°

70° + 2y = 180°

2y = 180° - 70°

y = 110°/2

y = 55°

The sum of two numbers is 52. The greater number is 4 more than the smaller number. Which equation can be used to solve for the smaller number?

Answers

Answer:

x+(x+4)=52

I think this is it

If the 4th and 7th terms of a G.P are −1/2 and
− 4, respectively, then find G5 and S6 .​

Answers

Answer:

G5 = -1

S6 = -63/16

Step-by-step explanation:

The formula for finding the nth term of a GP is Tn = ar^n-1

a is the first term

r is the common ratio

n is the number of terms

If the 4th term is -1/2

T4 = ar^4-1

T4 = ar³ = -1/2.... 1

If the 7th term is -4

T7 = ar^7-1

T7 = ar^6 = -4.... 2

Divide both equation

ar^6/ar³ = -4/(-1/2)

r³ = -4×-2

r³ = 8

r = 2

Common ratio is 2

Since ar³ = -1/2

a(2)³ = -1/2

8a = -1/2

a = -1/16

The first term is -1/16

Get the fifth term G5

G5 = ar⁴

G5 = (-1/16)(2)⁴

G5 = (-1/16)(16)

G5 = -1

Get the sum of the first six terms S6

S6 = a(r^n-1)/r-1

S6 = -1/16(2^6-1)/2-1

S6 = -1/16(64-1)

S6 = -63/16

Hence the sum of the first six terms is -63/16

The team practices 5.040
minutes during the season
Part B
There are 192 players in the soccer League There are 16 players on each
team Fiow many teams are there in the soccer league? Show your work
There are
teams in the league.

Answers

Answer: the answer would be 12

Step-by-step explanation: it would be 12 because you are dividing the number uf players by the number of players on each team

To construct a parallel line through a point not on the line using paperfolding you can perform the ___ construction twice

Answers

Answer:

The midpoint of a segment

Please help I need this answer soon

Kiara buys a meal from a food truck that costs $12. There is an additional 8.5% tax added to her total. If she pays for the meal with a $20 bill, then which of the following represents the
change she is due?

1) $5.74
2) $6.02
3) $6.52
4) $6.98

Answers

Answer:

Your answer is Option 4) $6.98

Step-by-step explanation:

let's see

kiran buys a meal that costs= $12

an additional amount has been added = 8.5%

= $12+8.5%= $13.02 or $13.2

so $13.2 - $20= $6.98

hope it helps please do give me brainliest :D

You are curious whether or not the following two events meet the standard criteria in statistics for mutually exclusive events:

January sales exceeding $1 million
February sales exceeding $1 million

Which of the following conditions alone would guarantee that those two events are mutually exclusive?

a. Sales each month are statistically independent of each other.
b. Sales each month are not statistically independent of each other.
c. Available inventory prevents sales for January and February combined from exceeding $1.5 million.
d. In any given month the probability of sales exceeding $1 million is less than 50%. The expected sales in January is more than the expected sales in February.
e. None of the above.

Answers

Answer:

d. In any given month the probability of sales exceeding $1 million is less than 50%. The expected sales in January is more than the expected sales in February.

Step-by-step explanation:

The above condition about the probability of sales exceeding $1 MILLION BEING LESS THAN 50% would guarantee that.

In the diagram below, the lifeguard is 5 ft. tall while sitting and the angle of elevation from the man on the diving board to the lifeguard (angle 2) is 20. How far apart are the two men? Round your answer to the nearest tenth.

1. 22.1 ft
2. 14.2 ft
3. 12.9 ft
4. 13.7 ft

Answers

I’m pretty sure it’s option 4

Find the equation of the graphed line.

a. y = x1/2 x2
b. y = -2x-4
c. y = 4x -2
d. y = -4x = 2​

Answers

I think that the answer is definitely B

0.03 + 6/10 is equal , greater or less than 0.30 +6/100

Answers

Answer: greater 6/10 is greater.

6/10=0.60

6/100=0.060.

hope this helps!

Step-by-step explanation:

El fin de semana Mara fue con su mamá a la tienda de mascotas a comprar una
pecera. Eligió una de 40, 40 y 25 cm de altura. También compraron un filtro,
piedras de colores y plantas. Una vez que llenaron la pecera, se dieron cuenta de
que el lugar donde la colocaron no era adecuado y decidieron moverla. Pesaba
demasiado, así que la tomaron de abajo. Pero inesperadamente las paredes se
rompieron y se quedaron con la base de la pecera en las manos.
a) ¿Cuál era la capacidad de la pecera en litros?
b) ¿Por qué se rompieron las paredes y no la base?
c) Si la fuerza de la presión del agua sobre las paredes de la pecera fuera 20N, y
la superficie de la pared de 0.20m 2 , ¿cuál es la presión?
Explica y argumenta detalladamente tu solución.

Answers

Answer:104

Step-by-step explanation:

que

left parenthesis negative 7 comma space 13 right parenthesis semicolon space s l o p e space equals space minus 2

Answers

Answer:

y - 13 = -2(x+7)

Step-by-step explanation:

Given

Coordinate point (-7, 13)

Slope m = -2

We can express the euation of the line in point slope form as shown;

The point slope form of the equation is expressed as;

y - y0 = m(x-x0)

x0 = -7, y0 = 13 and m = -2

Substitute;

y - 13 = -2(x-(-7))

y - 13 = -2(x+7)

Hence the required equation in point- slope form is y - 13 = -2(x+7)

please help asap no trolls!

Answers

Oh ok what specifically?

please awnser use image for question

Answers

1 C
2 A
3 B
I hope this helps

Keith is making a spice rack for his mom in woodworking class. He starts with a board that is 31.25 inches long. Then, he cuts it into 5 equal pieces for the shelves. How long will each shelf be?

Answers

Answer:

6.25 in long

Step-by-step explanation:

31.25 in/ 5 equal segments

= 6.25

Answer: 6.25

Step-by-step explanation: multiple

Mark the absolute maximum point of the graph

Answers

Answer:

7

Step-by-step explanation:

The absolute maximum is the highest point ( or largest y value)

The absolute maximum is 7 at  (7,7)

Gabriella is designing a flashlight that uses a parabolic reflecting mirror and a light source. The shape of the mirror car
be modeled by a parabola that opens upward with a diameter of 4 in. and a depth of 1 in. Where should she place the
bulb to ensure a perfect beam of light?
(0
1)
(0, 4)
(1, 0)
(4, 0)

Answers

Answer:

Step-by-step explanation:

0,1

The bulb should be placed at (1,0).

What is Parabola?

Any point on a parabola is at an equal distance from both the focus, a fixed point, and the directrix, a fixed straight line. A parabola is a U-shaped plane curve. The topic of conic sections includes parabola, and all of its principles are discussed here.

Given:

Suppose the equation of parabolic mirror is y² = 4ax.

The given data in the  is x = 1 and y = 2

So, the value is y² = 4ax

4 = 4 a (1)

a = 1

So  x = 1

and, the focus is at  (x, y) is (1,0).

Learn more about parabola here:

brainly.in/question/13828215

#SPJ7

write an equation that represents the relationship between

Answers

Complete Question:

Write an equation that represents the relationship between <FCB and <GBC

Answer:

m<FCB = m<GBC

Step-by-step explanation:

Given that GE is parallel to HF, and AD crosses both, thus:

<FCB and <GBC are alternate interior angles.

Alternate interior angles are congruent.

Therefore, the equation that represents the relationship between <FCB and <GBC would be:

m<FCB = m<GBC

HELP EDG 2020!!!!
Which half of the unit circle satisfies the trigonometric inequality cos Ø >0? Assume that ø is the angle made by the
positive x-axis and a ray from the origin.
O the top half
O the bottom half
O the right half
O the left half

Answers

Answer:

the right half

Step-by-step explanation:

We know that cosine is a pair function.

This means that:

Cos(a) = Cos( -a)

We also know that:

Cos(pi) = 0

then:

Cos(-pi) = 0

pi and -pi are located in the y-axis, so from this we can know that the cosine function will be always positive on the right side, or in the left side, we can discard the other two options.

Now, we also know that cos(0) = 1.

And:

-pi < 0 < pi

So the two zeros are at the y-axis, and we know that cos(0) is positive (the angle 0 would be on the positive side of the x-axis, at the right), then all the right side must be positive.

Then the correct option is:

the right half

Answer:

C - The right half

Step-by-step explanation:

Just took the quiz on edge

Is the following relation a function?

1) Yes
2) No

Answers

To figure out if the given relation is a function, we first need to know what a function is:

Function: A relation which relates the element x of set X with a single element of set Y

which means that every value of x can give only one value of y

but we can clearly see from the provided diagram that 5 has 2 possible outputs. Hence, the given relation is NOT a function

Tara wants to attend a four-year college to become a math teacher. Which statements explain the possible differences in total yearly cost for attending a public college in state and public college out of state? Check all that apply.


A - A public college out of state will have fewer transportation costs than a public college in state.


B - A public in-state college charges less for in-state tuition than for out-of-state tuition.


C - Books and fees will generally cost more at a private college than a public college.


D - Tara will most likely have to pay room and board expenses at an out-of-state public college, but might be able to commute to a public college in state.


E - All the extra fees besides tuition are different for in-state and out-of-state public colleges.

Answers

Answer:

- A public in-state college charges less for in-state tuition than for out-of-state tuition.
- Tara will most likely have to pay room and board expenses at an out-of-state public college, but might be able to commute to a public college in state.

Explanation:
If Tara wants to study out of state she could face higher tuition costs; public universities generally favor their residents with lower tuition costs, contrary to the charge for students who comes from other states.
Also, if she wants to study outside the state, Tara would have to analyze the costs of a residence and food that she will have to cover if she studies outside the state. On the contrary, if she studies in the state she could live with her family and only cover the transportation costs.

hope this helps!

Answer:

D

Step-by-step explanation:

i dont know how to explain it im just rlly use to this type of math so sorry but its D. :)

96/8 useing distributive property

Answers

Answer:

12

Step-by-step explanation:

96/8 = 12

A probability experiment is conducted in which the sample space of the experiment is S= {6,7,8,9,10,11,12,13,14,15,16,17.Let event E={6,7,8,9,10,11,12,13} Assume each outcome is equally likely. List the outcomes in Ec. Find P (Ec)

Answers

Answer: [tex]\dfrac{1}{3}[/tex]

Step-by-step explanation:

Given: S = {6,7,8,9,10,11,12,13,14,15,16,17}

E={6,7,8,9,10,11,12,13}

[tex]E^c=[/tex] Event having all elements of S other than E.

[tex]={14, 15 , 16, 17}[/tex]

[tex]P(E^c)=\dfrac{\text{Elements in }E^c}{\text{Elements in }S}\\\\=\dfrac{4}{12}\\\\=\dfrac{1}{3}[/tex]

Hence, [tex]P(E^c)=\dfrac{1}{3}[/tex]

find the value of each expression in lowest terms

-8 1/2 + 4 1/14

Answers

Answer:

The answer to -8 1/2 + 4 1/14 = -4 3/7

Hope this helps :-)

Answer:

−4 21/50

Step-by-step explanation:

might be wrong

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