You randomly select 2 marbles from a mug containing 7 blue marbles, 3 red marbles, and 2 white marbles. How many times greater is the probability of selecting one blue marble and then one red marble when you do not replace the first marble before selecting the second marble than when you do replace the first marble before selecting the second marble? Express the answer as a fraction.

Answers

Answer 1

Answer:

Scenario 1: w/o replacement: P(blue, then red) = (7/12)(3/11) = 7/44

Scenario 2: w/ replacement:  P(blue, then red) = (7/12)(3/12) = 7/48

Ratio of Probability #1 to Probability # 2 = 48/44 = 12/11, i.e. Prob # 1 is 1.0909... times Prob # 2

Step-by-step explanation:


Related Questions

The area of a circular plate is 625 pi square inches. If the radius of the circle is tripled, what is the area of the new circle?


A).1090 π in²

B).1270 π in²

C).6715 π in²

D).5625 π in²

Answers

Answer:

D.) 5625 pi inches squared

Step-by-step explanation:

square root of 625 = 25

25 x 3 = 75

A= pi r(squared)

A= 75squared pi

A= 5625 pi inches squared

Answer: D

Step-by-step explanation:

two students were walking to school one day when they saw two teachers each walking with two dogs. Each dog had two ears.How many dog ears where they in all

Answers

Answer:

there were 8 dog ears in all.

Step-by-step explanation:

Since the statement says that they saw two teachers each walking with two dogs, you have to multiply the number of teachers for the number of dogs each one had to find the total number of dogs they had:

2*2=4

Now, as the statement indicates that each dog had two ears you have to multiply the number of dogs for the number of ears each one has:

4*2=8

According to this, the answer is that there were 8 dog ears in all.

how can I do this ???​

Answers

Answer:

The triangle EFG can be constructed with the following specifications: [tex]EF = 8\,cm[/tex], [tex]FG = 7\,cm[/tex], [tex]EG = 12\,cm[/tex], [tex]E \approx 34.093^{\circ}[/tex], [tex]F \approx 106.068^{\circ}[/tex], [tex]G \approx 39.838^{\circ}[/tex].

Step-by-step explanation:

A triangle is formed by either knowing the lengths of its three sides or knowing two angles and the length of a side or knowing a angle and the lengths of two sides. By Geometry, we know that sum of internal angles in triangles equals 180°. In order to construct this triangle, we need to know the measures of angles E, F and G by means of the Law of Cosine:

Angle E

[tex]E = \cos^{-1}\left[\frac{(7\,cm)^{2}-(12\,cm)^{2}-(8\,cm)^{2}}{-2\cdot (12\,cm)\cdot (8\,cm)} \right][/tex]

[tex]E \approx 34.093^{\circ}[/tex]

Angle F

[tex]F = \cos^{-1}\left[\frac{(12\,cm)^{2} - (8\,cm)^{2} - (7\,cm)^{2}}{-2\cdot (8\,cm)\cdot (7\,cm)} \right][/tex]

[tex]F \approx 106.068^{\circ}[/tex]

Angle G

[tex]G = \cos^{-1}\left[\frac{(8\,cm)^{2}-(12\,cm)^{2}-(7\,cm)^{2}}{-2\cdot (12\,cm)\cdot (7\,cm)} \right][/tex]

[tex]G \approx 39.838^{\circ}[/tex]

The triangle EFG can be constructed with the following specifications: [tex]EF = 8\,cm[/tex], [tex]FG = 7\,cm[/tex], [tex]EG = 12\,cm[/tex], [tex]E \approx 34.093^{\circ}[/tex], [tex]F \approx 106.068^{\circ}[/tex], [tex]G \approx 39.838^{\circ}[/tex].

b.r.uh. these ch.a..t links be t.ripping

Answers

Answer: Ok so that is a fact for sure

Answer:

yup

Step-by-step explanation:

Which expression is equivalent to 4^-6 x 4^-2

Answers

Answer:

4^-8

Step-by-step explanation:

When multiplying two exponents with the same base, in this case, 4, you need to add the two powers (-6 + -2), to get -8.

You can write the equation of the line if you have two points on the line.
Is that true or false?

Answers

pretty sure it is true. sorry if wrong.
That’s true. If I were to explain why it would be restating the true or false question.

Mr.Suarez wants to paint his storage shed.He needs to calculate the lateral surface area of the shed so that he will know how much paint to buy.The shed is in the shape of a rectangular prism with the dimensions shown below.Including the doors what is the lateral surface area of the storage shed brainly

Answers

Answer:

The lateral surface area is 336 square feet

Step-by-step explanation:

Given

See attachment for storage

Required

The lateral surface area

From the attached figure, we have:

[tex]L = 14[/tex] --- Length

[tex]W = 7[/tex] --- Width

[tex]H = 8[/tex] --- Height

The lateral area is calculated as:

[tex]Area = 2 * H * (L + W)[/tex]

So, we have:

[tex]Area = 2 * 8 * (14 + 7)[/tex]

[tex]Area = 16 * (14 + 7)[/tex]

[tex]Area = 16 * 21[/tex]

[tex]Area = 336[/tex]

The costs for going to a dog beach are $7 for 1 dog, and $2 for each additional dog. Write an equation for this situation, when going to the beach with at least one dog.

Answers

Answer:

$7+$2(x-1)-y

Step-by-step explanation:

$7+$2(x-1)=y where $7 is fixed fee and $2(x-1) represents $2 more for every ADDITIONAL dog more than the first dog.

Simplify this expression by combining the like terms

5m + g + 6 + 3g - 2m + k

Answers

Answer:

3m+4g+6+k

Step-by-step explanation:

3m + 4g + 6 + k is the correct answer to this. Just subtract 2m from 5m and add 3g to g.

PLEASE HELP GUYS AND GIRLS

Answers

Z=60 due to the angle being the same to the top of the triangle,

Asked the wrong question minutes ago. The question I need answering is here, in the included photo.

Answers

Step-by-step explanation:

m L 1 = 180°-75° = 105° ( angles in one side)

m L 2 = 75° (corresponding angles)

Vertical angles have sum 180

m<1=

180-75105°

m<2

180-10575°

If the graph of f(x) contains the coordinates (0, 1) and (4, 16), which of the
following coordinates must be on the graph of the inverse of f(x)?

a. (-4,-16)
b. (16,4)
c. (0,-1)
d. (-16,-4)
e. (0,1)

Answers

Answer:

b. (16 , 4)

Step-by-step explanation:

f(x):   0 -> 1 , 4 -> 16

f⁻¹(x):  1 -> 0 , 16 -> 4

Question 1
Which expression is NOT equivalent to the expression
shown above?
7^2
7^5

Select one:
7-3
7-10
1/343
72.75

Answers

The answer to this problem is answer b which is 7-10

Giving brainlist to whoever answers

Answers

Answer:

14

Step-by-step explanation:

The trapezoids are similar, so you need to find which sides allign with each other. It can be seen that among the paralel sides of the trapezoid, the longer ones will be similar by the factor of 2. So, 2*7=14

Answer:

14 feet

Step-by-step explanation:

What is the distance between the integers (-15) and (-9) on a number line?

Answers

Answer: 6 Im sure

Step-by-step explanation:

Find the area of the shape below

Answers

Answer:

2 times 2 =4 4 times 4 =16 then you add I think

Determine the slope of the line.

Answers

Answer:

2/3

Step-by-step explanation:

Describe fully the single transformation that takes shape P to Q

Answers

Answer:

Triangle P is scaled up 3 times to become triangle Q.

Please help !!!!!!

Clare is deriving the quadratic formula by solving ax^2+bx+c=0 by completing the square.
She arrived at this equation:
(2ax+b)^2=b^2-4ac
Briefly describe what she needs to do to finish solving for I and then show the steps.

Answers

Answer:

Clare starts with:

a*x^2 + b*x + c = 0

And she gets to:

(2*a*x + b)^2 = b^2 - 4*a*c

Now we want to show the final steps to solve the equation (isolating x)

First, we apply the square root to both sides:

[tex]\sqrt{(2*a*x + b)^2} = \sqrt{(b^2 - 4*a*c)}[/tex]

Because the square root has two solutions, (one negative and one positive), we will write:

[tex]2*a*x + b = \pm \sqrt{b^2 - 4*a*c}[/tex]

Now we subtract b in both sides:

[tex](2*a*x + b) - b = \pm \sqrt{b^2 -4*a*c} - b[/tex]

[tex]2*a*x = \pm \sqrt{b^2 -4*a*c} - b[/tex]

Now let's divide by 2*a in both sides:

[tex]2*a*x/(2*a) = \frac{\pm \sqrt{b^2 -4*a*c} - b}{2*a}[/tex]

[tex]x = \frac{\pm \sqrt{b^2 -4*a*c} - b}{2*a}[/tex]

Cora is using successive approximations to estimate a positive solution to
f
(
x
)
=

g
(
x
)
, where
f
(
x
)
=
x
2
+
13
and
g
(
x
)
=
3
x
+
14
. The table shows her results for different input values of
x
.

Answers

By successive approximations we find that [tex]x \approx 3.3[/tex] for [tex]f(x) = g(x)[/tex].

How to find a solution of two functions by direct inspection

According to the table, the value of [tex]x[/tex] must be between 3 and 3.5. [tex]x[/tex] is the solution of [tex]f(x) = g(x)[/tex] if and only if [tex]f(x) - g(x) = 0[/tex]. Let suppose that [tex]x = 3.3[/tex], then:

[tex]3.3^{2}+13 = 3\cdot (3.3) + 14[/tex]

[tex]-0.01[/tex]

As we need only two decimals, approximation seems to be reasonable.

By successive approximations we find that [tex]x \approx 3.3[/tex] for [tex]f(x) = g(x)[/tex]. [tex]\blacksquare[/tex]

Remark

Statement is incomplete and incorrectly formatted, correct form is presented below:

Cora is using successive approximations to estimate a positive solution to [tex]f(x) = g(x)[/tex], where [tex]f(x) = x^{2}+13[/tex] and [tex]g(x) = 3\cdot x + 14[/tex]. The table shows her results for different input values of [tex]x[/tex]:

x         f(x)           g(x)

 0         13             14

 1          14             17

 2         17             20

 3         22            23

 4         29            26

3.5     25.25       24.5

To learn more on numerical methods, we kindly invite to check this verified question: https://brainly.com/question/19034634

The temperature in the afternoon is -8°F. In the evening, the temperature is 6°F colder than in the afternoon.
Choose all the expressions that can represent the situation.
A. 6 - 8
B. -8 - 6
C. -8 + 6
D. 6 - (-8)
E. -8 + (-6)

Answers

Answer:

-8-6

-8+6

6-(-8)

Step-by-step explanation:

"Y 1
Themba deposited R100 000 in the bank which offers 5,5% per annum simple interest
His intention is to buy a car after 4 years
1.1
Write interest rate as decimal per annum​

Answers

Answer:

1 ramdhjajdjejjejdnsns

Find the measurement of the exterior 1

Answers

Answer:

Sorry, but I can't see this well! I am on lapton, and it is impossible to tilt the whole thing over.

Answer: A: 145 degrees

Step-by-step explanation:

HURRRY PLEASE 3x + 2y = 7 4x - 3y = -2 How many solutions can be found for the system of linear equations represented on the graph? A) no solution B) one solution two solutions D) infinitely many solutions​

Answers

Answer:

1 solution,since it cuts one time

y=2

Step-by-step explanation:

taking the equations

[tex]3x+2y=7, 4x-3y=-2\\[/tex] as equation 1 and 2 respectively,

Multipy the equation 1 by 4

Multipy the equation 2 by 3

[tex](3x+2y=7 )[/tex]×4

[tex](4x-3y=-2)[/tex]×3

[tex]12x+8y=28\\12x-9y=-6\\\\[/tex] comes as equation 3 and 4, subtract 4 from 3,

[tex]12x-12x+8y+9y=28+6\\17y=34\\y=2[/tex]

A quality control inspector tested 235 CDs and found 8 defective
What is the relative frequency of finding a defective CD?

Answers

Answer:

235 C D s =

8 =

Step-by-step explanation:

Can someone help me with this

Answers

Answer:

C

Step-by-step explanation:

1. Absolute values are in the shape of a V, so the answer is automatically C.

2. If you did not know that, you can see that the graph is a function because it passes the vertical line test. This rules out option A. By looking at the graph, you can see it passes the x-axis twice, meaning that it has 2 x-intercepts. This rules out option B. X-intercepts always have a y-coordinate of 0, so we can rule out option D. The only option left after this is C.

The answer is going to be C :)

The line OP is a radius of a circle, centre O draw accurately the circle using compasses

Answers

Answer:

put the pointy end of the compass on the end line point then draw a circle at a measurement of 3cm 4 cm or 5 cm

3/8
×
2/9
please help so hard!!!!!!!

Answers

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

[tex]\frac{3}{8}[/tex]×[tex]\frac{2}{9}[/tex]

You can cut off 3 and 9 because they have 3s there

You can also cut off 2 and 8 since they have 2s there.

[tex]\frac{1}{4}[/tex]×[tex]\frac{1}{3}[/tex]

[tex]=\frac{1}{12}[/tex]

Ms. Acton spent $205.60 at Target. If the sales tax is 10%, what was her final bill?​

Answers

Answer:

$217.94

Step-by-step explanation:

Jesse and her family are painting their house. When they first started, they bought four 16-cup cans of paint. In order to paint their house, it took all of those cans plus they needed another 16-cup can of paint. How many cups of paint did it take Jesse and her family to paint their house?

Answers

Answer:

80

Step-by-step explanation:

yes

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