a bag contains 20 pink marbles and 12 yellow marbles. you choose a marble at random. what is the probability of selecting a pink marble?

Answers

Answer 1
So the total amount of marbles is: 20+12=32
there are 20 pink marbles
20/32 = 10/16 = 5/8 (simplified)

Related Questions

triangle ABC is similar to Triangle XYZ. 

 

AB=9.7, BC=9.6, AC=15.1

YZ=118.8, Find XZ

triangle ABC is similar to Triangle XYZ. 

 

AB=9.7, BC=9.6, AC=15.1

YZ=118.8, Find XZ

Answers

XZ = 186.8625.

Since the triangles are similar, the ratio of their angles is the same.  This means the ratio of BC to YZ will be the same as the ratio of AC to XZ; using this to set up a proportion,

9.6/118.8 = 15.1/x

Cross multiply:
9.6*x = 118.8(15.1)
9.6x = 1793.88

Divide both sides by 9.6:
9.6x/9.6 = 1793.88/9.6
x = 186.8625

which expression is equivalent 121x^2-64y^2 ?

Answers

Would this be the correct answer? If not, can you further explain the question?(11x+8y)(11x-8y) 

A quality control officer randomly checking weights of pumpkin seed bags being filled by an automatic filling machine. Each bag is advertised as weighing 400 grams. A bag must weigh within 2.1 grams in order to be accepted. What is the range of rejected bag, x, for the bags of pumpkin seeds?
A. 397.9 B. x < 397.9 and x > 402.1
C. x < 400.0 and x> 402.1
D. 400.0 > x < 402.1

Answers

from 0g to 494.7g are rejected as well as those heavier than 505.3grams.

You calculate this by subtracting and adding 5.3 to 500
Answer:

Option: B is the correct answer.

    B. x < 397.9 and x > 402.1

Step-by-step explanation:

It is given that:

Each bag is advertised as weighing 400 grams.

Also, a  bag must weigh within 2.1 grams in order to be accepted.

Hence, for the bag being accepted the weight must be no less than 2.1 gram from 400 gram and should be no more than 2.1 gram from 400 grams.

i.e. the weight of the bag must be such that:

               400-2.1≤ x ≤ 400+2.1

i.e.

              397.9 ≤ x ≤ 402.1

Hence, if the weight of the bag is less than 397.9 grams or is more than 402.1 grams then the bag will be rejected.

i.e. The range for the bag being rejected is: x<397.9 grams and x>402.1 grams.

how to tell whether its a prime or composite number

Answers

Prime numbers have only 2 factors 1 and its number for example:
2, 3, 5, 7, 11, 13, 17, 19, 23

Like this 1*2. Or 3*1

Composite numbers have more than two factors for example :
0, 4, 6, 8, 9, 10, 12, 14 15, 16..

For example 0 has many factors
0 times 3 0times 4

Step-by-step explanation: You know that it is a prime if the only number divisible by the number is one. If there are more numbers than 1 then it is composite.


The equation yˆ=0.09x+55.64 models a person's height, in inches, where x is the weight of the person in pounds. According to the regression equation, what is the approximate height of a person that weighs 160 pounds?

Answers

y = 0.09*x + 55.64
y = 0.09*160 + 55.64 <<--- replace x with 160
y = 14.4 + 55.64
y = 70.04

The person who weighs 160 pounds is predicted to be about 70.04 inches tall

Note: 70.04 inches = 5 ft, 10.04 inches (so roughly 5'10")

Answer:

Height is 70.04 inches.

Step-by-step explanation:

Given that the equation

[tex]yˆ=0.09x+55.64[/tex] models a person's height, in inches, where x is the weight of the person in pounds.

We have to find out the approximate height of the person that weighs 160 pounds

Algebraically we have to find y for x = 160

Substitute for y in the given equation.

[tex]y=0.09(160)+55.64\\y=70.04"[/tex]

what number must you add to complete the square? x2-20x=17
A. 100
B. -10
C.-100
D. 10

Answers

Answer:

The number is 100

A is correct

Step-by-step explanation:

Given: [tex]x^2-20x=17[/tex]

We need to make completing square at left side.

Rule: We add a number " take half of the coefficient of x and then square it"

Coefficient of x = 20

Half of 20 = 10

Square of 10 = 100

So, we will add 100 both sides make completing square.

Now we make completing square to add 100

[tex]x^2-20x=17[/tex]

Add 100 both sides

[tex]x^2-20x+100=17+100[/tex]

Now we will factor left side perfect square

[tex]a^2-2ab+b^2=(a-b)^2[/tex]

[tex](x-10)^2=117[/tex]

[tex](x-10)^2[/tex] is completing square or perfect square.

Hence, The number is 100

Negative numbers do not need the negative sign (-) in front of them. True False

Answers

this is false. It may vary in what situation youre talking about but negative numbers need the negative sign

Answer: False.

Explanation: All negative number need the negative sign (-) in front of them because if there is no sign, than the negative number would turn out to be a positive number.

Find an equivalent expression

Answers

(-5)^4=(-5)(-5)(-5)(-5)=(5)(5)(5)(5)=(5)^4=625

Answer: 625
The equivalent of the expression (-5)^4
would be 
Answer: 625

Solution:
To convert to standard form,(-5)^4 is equal to (-5)(-5)(-5)(-5)

Since the exponent is an even number, we can conclude that it will give the answer of a positive number. so if you multiply it all,it would give your the answer 625.

A student attempted to generate an equivalent expression using the distributive property, as shown below:

6(m + 3) = 6m + 3

What was the mistake made?

A. 6 was not multiplied by m
B. Incorrect sign was used for the first term
C. Incorrect sign was used for the second term
D. 6 was not multiplied by 3

Answers

Short Answer: D
Look at them one at a time

Choice A
The result of multiplying 6 and m together (which is what you are supposed to do is 6m). This step is correct.

Choice B
There are no minus signs anywhere, either outside or inside the brackets, B is incorrect. Minus signs cannot be manufactured out of thin air. You need a reason.

Choice C
Same as B.

D is the correct answer. Both sides of a plus or minus sign have to be multiplied by what is outside the brackets. The plus sign cannot be destroyed unless you started out with something like

6 ( 4m + 3m) which = 24m + 18m = 42m But you could have combined like terms in the beginning.
6 * 7m = 42m 

.

what Is 12 divided by 1/3

Answers

12/ 1/3 = 36 !!!!!!!!!!!!!
I know that you already have the answer but here’s a way for you to divide fractions.

When you divide something by a fraction, it’s easier to think of multiplying its opposite, or reciprocal.

What best describes the expression y over 3?

A. 3 more than some number
B. Some number times 3
C. Some number divided by 3
D. 3 less than some number

Answers

The answer would be C, some number divided by 3.

A represents addition, y + 3
B represents multiplication, y * 3
D represents subtraction, y - 3

Determine the average rate of change from 0 to 4 for the function f(x)=2^x-3

Answers

If the question meant f(x)=2^(x) -3 then the answer should be 1 over 4 or 1/4

on a protractor there are two scales read 1 scale to find 44 what is the measure on the scale

Answers

136 would be the other measurement on a protractor.

A small Learning Center holds 24 less students than the larger Learning Center. Together the learning centers hold seventy-two students. How many students does each Learning Center hold?

Answers

s=small
L=Large


72=(L-24)+s
48=L+s
By this point, the “-24” no longer affects the equation. L=s for the purpose of division.
48/2
24=s
Now we know s=24.
The “-24” is now important in finding the value of L. We find the inverse of “-24”, +24.
s+24=48


s= 24 students
L= 48 students
Final answer:

The larger Learning Center can hold 48 students and the smaller Learning Center can hold 24 students.

Explanation:

The key to solving this problem is to first express it as two linear equations. Let's denote the number of students the small Learning Center holds as S and the number of students the larger Learning Center holds as L.

The problem provides us with two facts:

The small Learning Center holds 24 less students than the larger one, we can express this as: S = L - 24.Together, both Learning Centers hold seventy-two students, so we can express this as: S + L = 72.

Now, we can solve these two equations simultaneously.

Substitute S from the first equation into the second: (L - 24) + L = 72, simplify to: 2L = 96

Thus, L = 48. This means the larger Learning Center can hold 48 students. Substitute L=48 into our first equation to find S: S = 48 - 24 = 24. So, the small Learning Center can hold 24 students.

Learn more about Linear Equations here:

https://brainly.com/question/32634451

#SPJ12

A motorboat covers the distance from one pier to the other pier in 4 hours and the way back in 5 hours. What is the speed of the boat in still water, if it covers 70 km with the current in 3.5 hours?
(its not 20 i tried)

Answers

r = speed in still water
r + c = speed with current
r - c = speed against current

3.5(r + c) = 70
r + c = 20
c = 20 - r

4(r + c) = distance from pier to pier
5(r - c) = distance from pier to pier
4(r + c) = 5(r - c)
4(r + 20 - r) = 5(r - 20 + r)
80 = 10r - 100
180 = 10r
18 = r
The speed in still water is 18 km/hour

A glass of water was one eighth of a liter. How many glasses would it take to fill up a 3 liter jug

Answers

Final answer:

It would take 24 glasses to fill up a 3 liter jug.

Explanation:

To fill up a 3 liter jug, we need to determine how many glasses of water, each measuring 1/8 of a liter, would be required.

First, we need to find the number of glasses in 1 liter. Since 1 liter is equivalent to 8 glasses (1/8 * 8 = 1), we can divide 3 liters by 1/8 liter to find the number of glasses for 3 liters.

3 liters is equal to 3 / (1/8) = 3 * 8/1 = 24 glasses. Therefore, it would take 24 glasses to fill up a 3 liter jug.

find the missing dimension. use the scale factor 5:8

Answers

Question 14
5 : 8
1.5 : x
[tex]5x = 12 \\ x = 2.4[/tex]
Answer : Actual length = 2.4m

Question 15
5 : 8
x : 20
[tex]8x = 100 \\ x = 12.5[/tex]
Answer : Actual length = 12.5m

Hope this helps. - M

Please Help ASAP! Would be greatly appreciated.

Answers

Hi,
The answer G represents -24/8 the best because it is dividing it into eight parts.
Hope this helps you.

Hi,

The answer G represents -24/8 the best because it is dividing it into eight parts.

Hope this helps you.

Use these functions to answer the questions.
f(x)=(x+3)2−1
g(x)=−2x2+8x+3
h(t)=−16t2+28t
Part A What are the x- and y-intercepts of the graph of the function f(x)? Identify the coordinates of any maxima or minima of the function. Explain your answers. Part B Write the function g(x) in the form y=a(x−h)2+k . Write the equation for the line of symmetry for the graph of g(x). Show all your work and explain your answer. Part C The function h(t) gives the approximate height, in feet, of a dolphin's jump out of water, where t represents the time,

Answers

Part A
We have [tex]f\left(x\right)=\left(x+3\right)^2-1[/tex]. To solve for the x-intercept, we set f(x) equal to 0.  That is
     [tex]\left(x+3\right)^2-1=0[/tex]

     [tex]\left(x+3\right)^2=1[/tex]

Take the square root of both sides, 
     [tex]x+3=1[/tex]

     [tex]x=-2[/tex]

The x-intercept is (-2,0)

To solve for the y-intercept, we set x=0. That is 
     [tex]y=\left(0+3\right)^2-1=3^2-1=9-1=8[/tex]

The y-intercept is (0, 8) 

The coordinates of the optimum point are actually the vertex which can be easily seen from the vertex form equation given above. The minimum point is (-3, -1).

Part B.
We have [tex]g\left(x\right)=-2x^2+8x+3[/tex].
Factor out -2
     [tex]=-2\left(x^2-4x\right)+3[/tex]

Complete the square
     [tex]=-2\left(x^2-4x+4\right)+3-2\left(4\right)[/tex]

Simplify
     [tex]g(x)=-2\left(x-2\right)^2-5[/tex]

Part C
We have [tex]h\left(t\right)=-16t^2+28t[/tex].
The maximum height is 12.25 feet after 0.875 seconds from the time of the jump. The dolphin will be back in the water after 1.75 seconds. The graph of the jump is shown in the photo. 
     
    

Plzz help me

Match the system of the equation to the number of solutions.

y = 5
2x - 2/3y = 10


1. No solutions
2. One solution
3. Infinite solutions

Answers

One solution. 

They have different slopes and therefore must have one solution.

Of the 3,558 people impaired drivers killed in 2009 (not counting the drivers themselves) death were preventable

Answers

Final answer:

The preventable nature of deaths caused by impaired driving, emphasizing the impact of alcohol and other risky behaviors on driving safety.

Explanation:

Each day in the United States, over 8 people are killed and 1,161 injured in crashes reported to involve a distracted driver, highlighting a significant public health concern. There is a noted problem with young drivers getting into serious automobile accidents, contributing to many preventable deaths.

It has been estimated that 35 percent of all U.S. early deaths in 2000 could have been avoided by changing just three behaviors, with alcohol being a significant contributing factor to risky behavior on the roads.

In 2014, alcohol-impaired driving fatalities accounted for 9,967 deaths, which is 31% of overall driving fatalities, underscoring the critical need for improved driving safety measures and individual behavior changes to reduce these numbers.

0.16+0.45 eaqkesbnnn

Answers

Sorry, but I have no idea what your "eaqkesbnnn" means.

If you were supposed to add 0.16 and 0.45, the correct answer would be 0.61.
Hello there, and thank you for asking your question here on brainly.

Short answer: 0.61 || 61/100

Why?

When you're adding two decimals, as long as it doesn't have a whole number, you can just add down like so.
      1
   0.16
+ 0.45
_______
   0.61
In fraction form, it is 61/100, because we have the decimal number, and put it to how long it is. (hundred[th])

Hope this helped you! ♥

find the value of this expression if x= -6 and y=1. xy^2/-7

Answers

(-6)(1)∧⁽2/-7⁾= -6 is the answer
Hope it's right
Let:
x=-6
y=1

xy^2/-7

substitute the values;

-6*1/-7 = 6/7 = 0.857

Put the following equation in slope intercept form. 10x - 5y = -20 Is the correct answer y = 2x + 4?

Answers

10x-5y=-20

Add five y on both sides so u get

10x=-20+5y

Add 20 on both sides

10x+ 20= 5y

Divide by five

2x+4=y


So yes, u were correct

Which system of equation can represent the equation?

Answers

According to the logarithmic property of the base change, the corrected answer is option one or the first.
 The logarithmic property of base change given that
 logx (b) = logc (b) / logc (x)
 Therefore, the same property applies to this problem and the correct expression for this question is:
 y1 = log (x + 3) / log 4
 y2 = log (2 + x) / log2

Which of the following is a statistical question?

A.
How much money is in Althea's pocket?
B.
How tall is the tallest building in the United States?
C.
What is the temperature in the refrigerator?
D.
What were the grades on the history final exam?

Answers

I think D because you can get a lot of different answers and that's what a statistical question is.
The answer is D. What were the grades on the history final exam because it requires collecting data. A statistical question is a question that requires the collection of data to answer.

a car is driving a cross-country traveled 180 miles in 4 hours. at this rate of speed, how many miles farther will the car travel in the next three hours?

Answers

u can do 180 divided by 3 which is 60
I think it will travel 135 more miles, I'm not sure though

Part a) Classify the figure

Part b) Name the vertices, edges, and bases

Answers

a) The figure is a rectangular-base pyramid (maybe square-base, but insufficient information to tell for sure).

b) Vertices: A, B, C, D, E
• Edges: AE, BE, CE, DE, AB, BC, CD, AD
• Bases: ABCD

a window cleaner charges a call out fee of £3 plus 25p per square metre of glass cleaned. a front window in a butcher's shop measures 3.5 m by 6 m. how much does it cost to get 2 of these windows cleaned?

Answers

Pretty sure it's £16.50

The median and interquartile range of a set of data is shown. Write a set of data consisting of seven values for the pair of measures.
Median: 5 Interquartile Range: 5

Answers

If there are 7 data points (an odd number), then the median, 5, is right in the middle of the 7 points:  x y z 5 q r s.

If the IQR is 5, we then know that the difference between y and r is 5.

Let's find the 1st and 3rd quartiles.  Focusing on the 1st 3 numbers, we see that the 1st quadrant is y; focusing on the last 3 numbers, we see that the 3rd quadrant is r.  The IQR is r-y = 5.  Just supposing that y were 4, r would be 9:

x 4 y 5 q 9 s

We could arbitrarily let x = 3, y = 4, q = 5 and s = 9:  3 4 4 5 5 9 9.

We must check this!  
What is the median?  Since there are 7 numbers here, we take the middle number (5) as the median.  This agrees with the problem statement.
Next, we find Q1 and Q3.  Q1 is the number between 3 and the 2nd 4, and is 4.  Q3 is 4+5, or 9, because the IQR is 5.  This agrees with the problem statement.
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