Mathematics Middle School

Azul spun a tri-color spinner twice. What is the probability that the spinner landed on the colors blue and green in any order?

Answers

Answer 1
The spinner is tri-colored, which means there are 3 sections on the spinner. One section is colored blue, one is colored green. Let the third section be colored x.

The outcomes on spinning the spinner twice will be:
(Blue, Blue), (Blue,Green), (Blue,x), (Green, Green), (Green, Blue), (Green, x), (x,x), (x,Blue), (x, Green)

Total number of outcomes = 9

We want to find the probability that spinner lands on the colors blue and green in any order. The favorable outcomes thus will be:
(Blue, Green) and (Green, Blue)

Number of favorable outcomes = 2

The probability that the spinner landed on the colors blue and green in any order = 2/9 

So, this means there are a 2 in 9 chances that the spinner landed on the colors blue and green in any order?
Answer 2

Answer:2/9

Step-by-step explanation:

Related Questions

Simplify 5 − (−1)


6
-6
4
-4

Answers

 5 − (−1)
Remove parenthesis.
5+1
Add the numbers.
6

Answer:

6

Step-by-step explanation:

Just easy lol have a good day

Help answer for a b and c work all of it out and show your work!thanks. Use the picture.

Answers

Answer:

Nah thx for the free pnts tho

Step-by-step explanation:

Divide. (18x^3+12x^2-3x)/6x^2
A)x^2+x-1/2x
B)3x+2
C)3x+2 -1/2x
D)3x -1/2x


Divide.(2x^3-x^2-24x+12)/(2x-1)
A)x^2-1
B)x^2-12
C)2x-1
D)x^2-1/2x-12


Can anybody help?

Answers

Answer:

1. The correct option is C.

2. The correct option is B.

Step-by-step explanation:

1.

The given expression is

[tex]\frac{18x^3+12x^2-3x}{6x^2}[/tex]

Simplify the expression,

[tex]\frac{18x^3}{6x^2}+\frac{12x^2}{6x^2}-\frac{3x}{6x^2}[/tex]

Cancel out the common factors.

[tex]3x+2-\frac{1}{2x}[/tex]

Therefore option C is correct.

2.

The given expression is

[tex]\frac{2x^3-x^2-24x+12}{2x-1}[/tex]

Use grouping method to simplify the numerator.

[tex]\frac{x^2(2x-1)-12(2x-1)}{2x-1}[/tex]

[tex]\frac{(2x-1)(x^2-12)}{2x-1}[/tex]

Cancel out the common factors.

[tex]x^2-12[/tex]

Therefore option B is correct.

Arlene sells computers and tables. She earns 8% commission on every dollar of sales that she makes

Answers

I attached a screenshot for the complete question.

Answer:
equation is: 0.08x = 2560
Total sales = $32,000

Explanation:
Assume that the total sales for the month is x.

Now, we are given that:
Her commission is 8% for each dollar and that she made a total of $2560 in commission.
This means that:
8% of x = 2560
8% * x = 2560
0.08x = 2560 ...........> required equation

Now, after getting the equation, we can solve for x to get the total sales as follows:
0.08x = 2560 
x = 2560 / 0.08
x = 32,000

This means that her total sales for the month is $32,000

Hope this helps :)

1440 tons of grain were brought to a silo over two days. On the second day, 80% of the amount of the grain delivered during the first day was brought in. How many tons of grain were delivered to the silo on the first day?

Answers

Answer is 800 
because if you do
1440=0.8t+t
1440=1.8t
800=t 
so the first day is 800 tons and the second day is 640 tons

Answer:

800

Step-by-step explanation:

Help me please I don’t understand

Answers

a² + b² = c²
8² + x² = 16²
x² = 16² - 8²
x² = 192
x =√192
x =8√3
16x16 + 8x8 = 320

*320 = 8*5

Please help on this problem

Answers

Answer: EP is 12 and EO is about 10.91.

To find the length of EP, we can use the Pythagorean Theorem with the 2 legs of the right triangle it would form, EC and CP. CP would be 5 because it is the midpoint of the side.

5^2 + (EP)^2 = 13^2
EP = 12

Now, to find EO, we write and solve another Pythagorean Theorem equation using 12 for EP.

5^2 + (EO)^2 = 12^2
EO equals the square root of 119 or about 10.91.

How many ways can a jury of four men and three women be selected from twelve men and ten women

Answers

There are 59,400 ways this jury can be selected.

Since the events are independent of each other (choosing one does not influence the chance of choosing the others) we multiply the combinations. 

The first combination is [tex]_1_2C_4[/tex], because we are selecting 4 men from a possible 12.

The second combination is [tex]_1_0C_3[/tex], because we are selecting 3 women from a possible 10.

Multiplying these we have:  [tex]_1_2C_4 \times _1_0C_3 \\ \\=\frac{12!}{4!8!} \times \frac{10!}{3!7!} \\ \\=\frac{479001600}{967680} \times \frac{3628800}{30240} \\ \\=495 \times 120 \\ = 59400[/tex]

Final answer:

The number of ways to choose the jury is 59,400.

Explanation:

The question is concerned with a combinatorial problem of selecting a jury from a larger pool of people, which is a classic example of the use of combinations in probability and statistics.

To find out how many ways we can select a jury of four men from twelve men, and three women from ten women, we use the combination formula which is C(n, k) = n! / (k! * (n-k)!), where '!' represents factorial, 'n' is the total number of people, and 'k' is the number of people to choose.

To select the men, we calculate the combinations as follows:

C(12, 4) = 12! / (4! * (12-4)!) = 495 ways

To select the women, we calculate the combinations as follows:

C(10, 3) = 10! / (3! * (10-3)!) = 120 ways

To find the total number of ways to select the jury of four men and three women, we multiply the number of ways to choose the men by the number of ways to choose the women:

495 ways (to choose men) * 120 ways (to choose women) = 59,400 different ways to select the jury.

8. Find the radius of a circular lid with an area of 12in.^2.

Answers

Area of circle is πr²

12 = 3.14r²
3.82 = r²
1.95 = r

Hans needs to rent a truck. suppose company A charges a rate of $40 per day and company B charges a $60 fee plus $20 per dat. for what number of days is the cost of the same

Answers


[tex]40x = 60 + 20x[/tex]
[tex]20x = 60[/tex]
[tex]x = 3[/tex]
the cost will be the same on day 3

Determine the exact value of cos (11pi/6

Answers

Should be 1 I believe

I got 0.999958244

Which correlation coefficient indicates the stronger linear relationship between random variables for a fixed sample size?
A. r= 0.8
B. r= 0.5
C. r= -0.2
D. r= -0.9

Answers

I think it b r=.5 nnnnn

The required among the given options, the correlation coefficient with the strongest linear relationship is r = 0.8.

What is the correlation coefficient indicates?

The correlation coefficient is a measure of the strength and direction of the linear relationship between two random variables. The value of the correlation coefficient ranges from -1 to +1, where -1 indicates a perfect negative linear relationship, 0 indicates no linear relationship, and +1 indicates a perfect positive linear relationship.

Among the given options, the correlation coefficient with the strongest linear relationship is r = 0.8. This is because the closer the value of the correlation coefficient is to +1 or -1, the stronger the linear relationship between the two random variables. A correlation coefficient of 0.5 indicates a moderate positive relationship, a correlation coefficient of -0.2 indicates a weak negative relationship, and a correlation coefficient of -0.9 indicates a strong negative relationship.

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Which table correctly shows all the sample spaces for tossing a coin and rolling an odd number on a six-sided number cube? Coin Number cube Outcome Heads 1 Heads, 1 Heads 3 Heads, 3 Heads 5 Heads, 5 Tails 1 Tails, 1 Tails 3 Tails, 3 Tails 5 Tails, 5 Coin Number cube Outcome Heads 1 Heads, 1 Heads 2 Heads, 2 Heads 3 Heads, 3 Tails 4 Tails, 4 Tails 5 Tails, 5 Tails 6 Tails, 6 Coin Number cube Outcome Heads 2 Heads, 2 Heads 4 Heads, 4 Heads 6 Heads, 6 Tails 2 Tails, 2 Tails 4 Tails, 4 Tails 6 Tails, 6 Coin Number cube Outcome Heads 2 Heads, 1 Heads 4 Heads, 3 Heads 6 Heads, 5 Tails 2 Tails, 2 Tails 4 Tails, 4 Tails 6 Tails, 6

Answers

Table D I believe :) Hope this helps!!

Answer:

Coin Number

cube Outcome

Heads  

2

Heads, 2

Heads  

4

Heads, 4

Heads  

6

Heads, 6

Tails  

2

Tails, 2

Tails  

4

Tails, 4

Tails  

6

Tails, 6

Step-by-step explanation:

Help me anyone please !!!!!

Answers

3. ΔBDE ~ ΔBCF

4. BF/BC = BE/BD

5. 254/BC = 160/457
.. BC = 254*457/160 ≈ 725 units

find the arithmetic mean an of an-1=3.9 and an+1=7.1

Answers

a[n] = (a[n-1] +a[n+1])/2 = (3.9 +7.1)/2 = 11/2 = 5.5

The arithmetic mean is 5.5

So therefor the answer is 5.5

On a coordinate grid, the distance between point F and point G is 13 units. Point F is located at (-1, 3). Point G is located at (x, -9). Which value could be the value of x?

Answers

Using the distance formula i was able to calculate x=-6
(x+1)² + (-9-3)² = 13²
x² + 2x + 1 + 144 = 169
x² + 2x + 145 - 169 = 0
x² + 2x - 24 = 0
D = 4 + 96 = 100 = 10²
x₁ = (-2-10)/2 = -6
x₂ = (-2+10)/2 = 4

Аnswer: x=-6 or x=4

Apple at on sale for $1.20 a pound. Logan bought 3/4 of a pound. How much money did Logan spend on apples

Answers

1.20/4= .3 which is the cost per 1/4 of a pound.
so then you multiply .3 by 3 to get the cost of 3/4 of a pound which is .90 cents.

Miguel has $20. He spends $6.25 on a movie ticket, $3.70 for snacks, and $1.25 for bus fare each way.

Answers

So we know Miguel has 20$ so from there we subtract the prices of the movies ticket, snacks, and the bus fares.
20 - 6.25 = 13.75

13.75 - 3.70 = 10.05

Since the bus fare is each way (to and back) we multiply 1.25 x 2
1.25 x 2 = 1.50

10.05 - 1.50 = 8.55
He has $8.55 left

Find the area of this figure

Answers

24.48 is the answer i think

josè and nancy take care of animals when the owners are away. josè charges $15 plus $2 per animal. nancy charges $5 plus $3 per animal. for how many animals do they charge the same amount? write a system of equation to model the problem and solve the system to find out.

Answers

Final answer:

José and Nancy would charge the same amount for taking care of 10 animals. This is found by solving the system of equations which represents their respective charges.

Explanation:

The subject of this problem is determining for how many animals José and Nancy would charge the same amount. This is a classic algebra problem that can be solved by setting up a system of equations.

Let's designate 'x' as the number of animals. José's charges can be represented by the equation y = 15 + 2x, because he charges a flat fee of $15 and then an additional $2 per animal. Nancy's charges can be represented by the equation y = 5 + 3x, because her initial fee is $5, and she charges an additional $3 per animal.

To find out when they both charge the same amount, set these two equations equal to each other and solve for x:

15 + 2x = 5 + 3x

This simplifies to 10 = x, meaning they would both charge the same amount for 10 animals.

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A 25-N net force is applied to a rolling cart and produces an acceleration of 5 m/s^2. What is the cart's mass?

Answers

Answer:

The cat's mass would be 5 kg.

Graph the linear equation find three points that solve the equation then plot on the graph x-3y=-6 plz help

Answers

Final answer:

The linear equation x - 3y = -6 can be rearranged as y = (1/3)x + 2. By substituting x-values of 0, 3, and 6, we obtained three points (0,2), (3,3), and (6,4). Plotting these points to graph helps us to visualize the equation.

Explanation:

The original linear equation is x - 3y = -6. We can rearrange this equation to y = (1/3)x + 2. From this, we can derive three points on the graph. For example, let's calculate the y-values for x = 0, 3, and 6, which are easy to use.

For x = 0, the equation becomes y = (1/3)(0) + 2 = 2. So, the point (0,2) lies on this line.

For x = 3, the equation becomes y = (1/3)(3) + 2 = 3. So, the point (3,3) is on the line. For x = 6, the y-value is y = (1/3)(6) + 2 = 4, giving us the point (6,4).

These three points can be plotted on a graph and a line can be drawn through them to graph the equation.

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you have been given the task of transporting 3000 apples ,1000 miles from apple land to bananaville. your truck can carry 1,000 apples at a time. every time you travel a mile towards bananaville you must pay a tax of 1 apple but you pay nothing when going in the other direction towards appleland.what is the highest number of apples you can get to bananaville?

Answers

I believe this is a riddle and the answer is 833 apples!

Which ones are correct? PLEASE ANSWER QUICK IF YOU KNOW

Answers

First, Third and Fourth

QUICK AND URGENT

Marvin can run 48km in 6 hours.
How many kilometers can he run in 6hours 30min

And how do you do it.

Answers

Marvin can fun 52 KM in 6 Hours and 30 Min

First you divide 48 km /6 hours to find out how many km he ran per hour
48 km /6 hours = 8km/h
So you then multiply 8 km/h x 6.5 hours to find out how many km he ran in 6 hours and 30 mins. 

15 points!!!!!help!!!!!!!!!!!!

Answers

Hi! :)

So a right triangle is a triangle that contains a ninety degree angle, it's not classified by side length. A scalene triangle is a triangle in which all three sides are different lengths. An isosceles triangle has two sides that are the same length. Either a scalene or an isosceles triangle could contain a right angle, so your answer is yes. 

Hope this helps! 
Answer is NO.
A right triangle cant be both scalene and isosceles
because 
A scalene triangle has three sides of different lengths,no congruent sidesAn isosceles triangle has two congruent sides.

For an investment of $26,245, a quarterly statement reports that the account balance is $26,292. The statement also reports that for the same quarter, the rate of return on the investment was -0.02%. Given the information regarding the investment's current balance, does the reported rate of return seem reasonable? Use complete sentences 

Answers

Hello,

No, that does not seem reasonable.
The account went from $26,245 to $26,292, that is an increase.
Therefore the rate of return should be positive, not negative.

Good luck,
MrEQ

Which is greater -10 or -20 in absolute value

Answers

|-10| = 10

|-20| = 20

The answer is -20.
-20 because the absolute vaule is 20

Name the set(s) of numbers to which -2/5 belongs.

A. Whole numbers, integers, rational numbers

B. Rational numbers

C. Whole numbers, natural numbers, integers

D. Integers, rational numbers

Answers

I think it is a rational number
I think it may be D integers and rational numbers

Miguel wants to rent a boat and spend at most $52. The boat costs $7 per hour, and Miguel has a discount coupon for $4 off. What are the possible numbers of hours Miguel could rent the boat?
Use t for the number of hours- write your answer as an inequality solved for t. this is due today plz help thank you!

Answers

t ≤ 8

"At most" is equivalent to "less than or equal to". So the inequality is going to involve the less than or equal to symbol. The boat costs $7 per hour and that can be represented by: 

7t

A discount coupon means subtracting $4 from the 7t: 

7t - 4 

When these are placed with the inequality: 

7t - 4 ≤ 52 

Solving this inequality means isolating the variable. To do this, adding 4 to both sides will be the first step. 

7t ≤ 56

Finally, dividing both sides by 7 will get the final answer of 8, meaning the possible number of hours Miguel could rent the boat is no more than (less than or equal to) 8. 
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