A bag contains 6 red, 5 yellow, and 3 black marbles. You select one
marble at random. What is the probability that it is a red or black
marble?

Answers

Answer 1

Answer:

The probability that it is a red or black marble is 0.6429, or 64.29%

Step-by-step explanation:

Frequentist Probability

The probability of an outcome is defined as the frequency of the number of ways the outcome occurs relative to the number of ways that it could have occurred.

The equation to calculate the probability is:

[tex]\displaystyle P(A)=\frac{m}{n}[/tex]

Where m is the number of ways the event A can occur and n is the total number of ways it could have occurred.

The bag contains 6 red, 5 yellow, and 3 black marbles. If one of them is randomly selected, it can be of any color from a total of n=6+5+3=14

Event A consists of the marble being red or black. It can be taken from m=6+3=9 marbles.

The probability is:

[tex]\displaystyle P(A)=\frac{9}{14}=0.6429[/tex]

The probability that it is a red or black marble is 0.6429, or 64.29%


Related Questions

If a car travels an average of 41 mph for 5.2 hours, how far will it travel? ( d=rt)
please help due soon

Answers

Multiply speed by time:

41 x 5.2 = 213.2 miles

The answer is the first choice.

Answer:

D = 41 (R) x 5.2 (T) = 213.2 miles

Step-by-step explanation:

3. Complete the following table. You must show your work to receive full marks. If an angle
does not exist, you must explain why. (10.9 Approaching)
Angle
Complement
Supplement
Resulting Angle
Measure after the
Angle is Bisected
50
34
35
135

Answers

Step-by-step explanation:

what was the difficulty here ?

supplementary angles fill up to 180°.

complementary angles fill up to 90.

50° complement is 90-50 = 40°.

supplement is 180-50 = 130°.

bisected angle is 50/2 = 25°.

90-34=56° complement is 34°.

supplement is 180-56 = 124°.

bisected angle is 56/2 = 28°.

35×2=70° complement is 90-70 = 20°.

supplement is 180-70 = 110°.

bisected angle is 35°.

180-135=45° complement is 90-45 = 45°.

supplement is 135°.

bisected angle is 45/2 = 22.5° = 22°30'

I’ll give Brainly for helping

Answers

Answer: 16

Step-by-step explanation:

the answer is 16 so it is B

What is the diameter of a circle with a circumference of 84. 78 inches? Use 3. 14 for π. Enter your answer in the box.

Answers

Answer:11.08in

Step-by-step explanation:

HELLLPPPPP!!!!!!

What is the missing number in the synthetic division problem below?

Answers

Answer:

9

•••••

•••••••••••••••

Answer:

9 :) (ape.x)

Step-by-step explanation:

solve pls brainliest

Answers

Answer:

6 1/4

Step-by-step explanation:

5^2/2^2

25/4

6 1/4

Have an amazing day!!

Please rate and mark brainliest!!

Choose the mixed number for this decimal
2.1

Answers

Answer:

21/10

Step-by-step explanation:

you"ll have to take my word for it

Write -9 1/2 as a decimal number.

Answers

Answer:

-.095 is the correct answer

Step-by-step explanation:

look it up if you want-_-

Answer:

-0.75

Step-by-step explanation:

What’s 8/2(2+2). Please hurry I’ll mark you brainliest if you make me get it right

Answers

Answer:

Step-by-step explanation:

PEMDAS

2+2 is 4

8/2 is 4

4+4 is 8

2x + st = 2q
Solve for X

Answers

Answer:

i dont understand explain

Step-by-step explanation:

Answer:

x = q- st/2

Step-by-step explanation:

There are 37 cans of pineapple on each shelf at food mart if there are 7 shelves of pineapple estimate the number of cans pineapple at food mart by rounding the number of cans on a shelf yo the nearest ten

Answers

Answer:

260

Step-by-step explanation:

7 shelves containing 37 cans of pineapples each would give you 259 cans of pineapple. Then, round to the nearest ten would give you 260.

I don't know what to do can someone help

Answers

Answer:

(b)  ΔRST ~ ΔRUS ~ ΔSUT(a)  a = 400/21; b = 580/21

Step-by-step explanation:

1.

Similarity statements are written with corresponding vertices in the same order. So, there are two tasks involved: (1) identifying corresponding vertices; (2) making sure they are written in the same order in the similarity statement.

Here, we could go to the trouble to identify all pairs of corresponding vertices. Then we could write our own similarity statements and see which answer choice corresponds. However, it is sufficient to do just enough work to allow elimination of bad answer choices.

Sometimes in figures like this, it is difficult to tell the short side of the right triangle from the long side. (This figure is pretty helpful.) However, it is always possible to identify the hypotenuse of each triangle. They are ...

  RT, RS, ST

What this means is that these letters should appear in the same spots in each part of the similarity statement.

  (a) RT are in the 1st and 3rd spots of the first triangle name. In the second triangle name, those spots are occupied by SU--not a hypotenuse. (rejected)

  (b) The 1st and 3rd spots of each statement are occupied by RT, RS, ST, so this is a viable candidate.

  (c) The 1st and 3rd spots of the first triangle name are occupied by ST, but those spots of the second triangle name are SU--not a hypotenuse. (rejected)

  (d) The 1st and 2nd spots of the first triangle name are occupied by RT, and those spots in the second triangle name are RS. However, those spots in the third triangle name are TU--not a hypotenuse (rejected).

The only viable choice for similarity statement is the second choice:

  ΔRST ~ ΔRUS ~ ΔSUT

__

2.

We can find segment 'a' by writing a proportion between sides of the largest and medium-size triangles:

  hypotenuse/long side = (21 +a)/29 = 29/21

  21(21 +a) = 29² . . . . . multiply by 29·21

  441 +21a = 841 . . . . simplify

  21a = 400 . . . . . . . subtract 441

  a = 400/21 . . . . . . . . . . . divide by 21. (eliminates choices C and D)

At this point, we can solve for b in similar fashion. However, it is sufficient to use "triangle sense" to eliminate the remaining bad choice. We know the hypotenuse of any right triangle is the longest side. Here, that means ...

  b > 20 . . . . . (eliminates choice B)

The only viable answer choice is A:

  a = 400/21, b = 580/21

__

Additional comments

For multiple-choice questions, you can arrive at a solution just as effectively by eliminating bad choices as you can by working the problem in detail to develop the correct choice. Here, we try to use "common sense" to simplify the work as much as possible. This saves time, which is what you want when you're working a timed assignment.

__

This geometry has several interesting features. If you start at the right angle and write side lengths in order clockwise, the two "inside triangles" have the order {longest side, hypotenuse, shortest side}. The overall outside triangle has the order {shortest side, hypotenuse, longest side}. That is, the order of the outside triangle vertices is counterclockwise for the same order of corresponding sides. Realizing/remembering this can immensely simplify the process of writing similarity statements for these triangles.

Another feature is one we demonstrated in the solution for 'a' in the second problem: the length of a segment touching the longest hypotenuse is the geometric mean of the lengths of the hypotenuse segments it touches. In the case in point: 29 = √((21)(21 +a)). We could also write the relationship: 20 = √((21)(a)), perhaps getting there more directly:  a=400/21. And finally, b = √((a(a+21)). These geometric mean relationships all derive from the proportions you can write using triangle similarity.

(The geometric mean of two numbers is the square root of their product. For n numbers, it is the n-th root of their product.)

The area of a rectangular tabletop is 23. 8 square feet. The tabletop is 4. 25 feet wide. How long is the tabletop?

Answers

Answer:

Step-by-step explanation:

Length = Area ÷ width

           = 23.8 ÷ 4.25

           = 5.6 ft

In the given figure, ABC is a right triangle.

What is true about AABC?

Answers

Answer:

C. sin(A) = cos(C) and cos(A) = sin(C)

Step-by-step explanation:

Use a net to find the surface area of the right triangular prism shown below 6ft 7ft 8ft 10ft

Answers

Step-by-step explanation:

Considering the area of the 2 right angled triangles

Area of two triangles

=2 [1/2 x base x height]

=base x height

=8 x 6

=48 ft2

Area of two big rectangles

=2 [length x width]

=2 [10 x 7]

=2 x 70

=140 ft2

Area of small rectangle (base of figure)

= length x width

=7 x 6

=42 ft2

Total surface area

=sum of all areas

= 42 + 140 + 48

=230 ft2

The bedroom is 10 ft. by 8 ft, and the ceilings are 8 ft.

Find the surface area of the rectangular room

Answers

The answer and the steps is in the photos below

Jason needs $12,000 to pay for a training program. Jason decides to get loan from his bank at 2.2% interest for 5 years? How much interest will Jason pay for this loan?

Answers

Answer:

therefore he will pay $12,264

Answer:

$1,379.37

Step-by-step explanation:

to solve we do [tex]12000(1.022)^5[/tex] then subtract 12000.

Please rate and mark as brainlest. hope this helps!

Viola took out a $8,470 Stafford loan at the beginning of her four-year college career. The loan has a duration of ten years and an interest rate of 7. 5%, compounded monthly. How much more will Viola’s monthly payment be if the loan is unsubsidized than if the loan is subsidized? Round all dollar values to the nearest cent. A. $35. 05 b. $45. 94 c. $96. 96 d. $63. 52.

Answers

The Viola’s monthly payment more than the loan is unsubsidized than if the loan is subsidized is $35.05.

What is compound interest?

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

[tex]A=P\left(1+\dfrac{R}{n\times100}\right)^{nt}[/tex]

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

Viola took out a $8,470 Stafford loan at the beginning of her four-year college career. The loan has a duration of ten years and an interest rate of 7. 5%, compounded monthly.

Put this values in the above formula as,

[tex]A=8470\left(1+\dfrac{7.5}{12\times100}\right)^{12\times 4}\\A=11422.6348[/tex]

For the four years, the monthly payment is,

[tex]m=\dfrac{11422.6348}{4}\\m=237.97[/tex]

The monthly payment of unsubsidized loan is $237.97.

The monthly payment of subsidized loan is $202.80.

The difference between the unsubsidized and subsidized loan monthly payment is,

[tex]d=237.97-202.80\\d=35.17\\d\approx35.05[/tex]

Thus, the Viola’s monthly payment more than the loan is unsubsidized than if the loan is subsidized is $35.05.

Learn more about the compound interest here;

brainly.com/question/24274034

A cylinder has a surface area of 150 inches²? What is its height if the radius is 5 inches?
A) 5 inches
B) 10 inches
C)
[tex]5\pi \: inches[/tex]
D)
[tex]10\pi \: inches[/tex]​

Answers

Answer:

10 inches

Step-by-step explanation:

did with a teacher

Help Please! 5/4-1/3-1/2 (fractions)

Answers

The correct answer is 5/12

First you would need to find all common denominators for all fractions.

5/4 * 3 = 5/12
1/3 *4 = 1/12
1/2 * 6 = 1/12

5/12 - 1/12- 1/12= 5/12

Can someone show me how to solve this step by step?

Answers

9514 1404 393

Answer:

  x = -15

Step-by-step explanation:

It appears the drawing is showing two representations for the distance LK. Of course, they both have the same value.

  10 = LK = x+25

Subtracting 25 from the equation, we have ...

  -15 = x

(This value of x makes KJ = (2(-15)+27) = -3, a nonsense value.)

_____

Alternate (more sensible) interpretation

If the bottom line is intended to represent LJ, then we have ...

  10 +(2x+27) = (x +25) . . . . LK +KJ = LJ

  x +37 = 25 . . . . subtract x

  x = -12 . . . . . . .  subtract 37

With this value of x, the length of KJ is 2(-12)+27 = 3, and the overall length LJ is (-12)+25 = 13. This is consistent: LK=10, KJ = 3, LJ = 13.

 

im
POSSIBLE POINTS: 5.56
1. Lance applied to work for two different food-delivery companies. One company pays their drivers $500 per
week plus $0.60 per mile they drive. The second company pays $600 per week plus $0.50 per mile they drive.
Which equation can be used to find x, the number of miles Lance would have to drive each week in order to earn
the same amount of money at each company?
N
No

Answers

Answer:

C. 500x + 0.6 = 600x + 0.5

Step-by-step explanation:

Non Examples of table graph

Answers

Answer:

i didnt get u what do u want that i should explain u

Maybe try showing the graph ??

Help please!!!,,,,,,

Answers

Answer: 2x+5y=100 and x+y=38

Step-by-step explanation:

A pizza restaurant has a toddler play area with a ball pit.The ball out has 1000 red balls,500 green balls,and 100 yellow balls. If a ball is randomly picked from the pit,What is the probability it is yellow

Answers

Answer:

6.25

Step-by-step explanation:

change forms: (16ab^2)^1/2 someone helppp pls

Answers

Step-by-step explanation:

this is only what i got from this question. it may be the only thing we need to do.. or not. but this step is correct for sure

4² × (-3/2)⁴ how we do it plz tell

Answers

=16/81×-27/64
=1/3×-1/4
=-1/12
You can understand this question.The question I have given is same as your but values are different but method is same..

The answer to this is 81.

How to find the surface area of a trapezoidal prism.

Answers

Answer:

( b1 + b2)h+ph

Step-by-step explanation:

get it

If a, b, and c are rational numbers and ac>bc always true?

Answers

Answer:

Let's put it like this.

a = 1

b = 2

c = 3

Now, multiply b and a.

a x c = 3

Convert this expression to its factored version, ac.

Next, multiply b and c.

b x c = 6

Turn b and c into factored form, bc.

conclusion

Since 6 is greater than 3, this statement is not true. The only way it will always be true is if you reversed the number sequence to be greatest to least, instead of least to greatest.

Please help me I need the explanation to the question step by step solving
Find the values of x and y.

Answers

7x + 7= 112
7x - 7= 112-7
7x= 105
(Since it’s multiplication divide and vice versa)
7x/7 = 105/7
X= 15

The two opposite angles need to add up to 180. Since we know one angle is 112 subtract that from 180.

180-112= 68

Now we know what the other angle needs to be so set up the equation.

4y= 68
(Again divide cause it is multiplication)
4y/4= 68/4
Y=17

The answers are:
x=15
y=17

Answer:

x = 15; y = 17

Step-by-step explanation:

A line equals 180 degrees

7x + 7 and 4y form the full line

As such:

7x + 7 + 4y = 180

Another line formation is between 4y and 112

A line equals 180 degrees

4y + 112 = 180

180 = 180 so:

7x + 7 + 4y = 4y + 112

Isolate the variable x

Subtract 4y from both sides

7x + 7 + 4y - 4y = 4y - 4y + 112

7x + 7 = 112

Subtract both sides by 7

7x + 7 - 7 = 112 - 7

7x = 105

Divide both sides by 7

7x ÷ 7 ÷ = 105 ÷ 7

1x = 15

x = 15

If x = 15, plug this new information into the expression with both x and y variables

7(15) + 7 + 4y = 180

Pemdas says multiply first

105 + 7 + 4y = 180

Combine like terms

112 + 4y = 180

Subtract both sides by 112

112 - 112 + 4y = 180 - 112

4y = 68

Divide both sides by 4

4y ÷ 4 = 68 ÷ 4

1y = 17

y = 17

Check work:

7(15) + 7 + 4(17) = 180

Pemdas says multiply first

105 + 7 + 68 = 180

Combine like terms

112 + 68 = 180

180 = 180

This means the variable values are correct

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