A fair four-sided spinner has the numbers 1 to 4 marked on its sides. It is spun twice and the two scores are added together.

Answers

Answer 1

Answer:

Probability of getting doubles = 1/4

Step-by-step explanation:

Given - A fair four-sided spinner has the numbers 1 to 4 marked on its sides. It is spun twice and the two scores are added together.

To find - Using a sample space diagram, find the probability of getting a double.

Proof -

Given that,

A four-sided spinner is spin twice.

So,

The Sample Space becomes

S = { (1, 1), (1, 2), (1, 3), (1, 4)

       (2, 1), (2, 2), (2, 3), (2, 4)

       (3, 1), (3, 2), (3, 3), (3, 4)

       (4, 1), (4, 2), (4, 3), (4, 4) }

So,

n(S) = 16

Now,

Let A is the event Getting a double, So,

A = { (1, 1), (2, 2), (3, 3), (4, 4) }

and

n(A) = 4

So,

The Probability of getting doubles = n(A) ÷ n(S)

                                                         = 4 ÷ 16

                                                         = 1/4

∴ we get

Probability of getting doubles = 1/4

A Fair Four-sided Spinner Has The Numbers 1 To 4 Marked On Its Sides. It Is Spun Twice And The Two Scores

Related Questions

Patty's math class starts at 8:00 A.M. and lasts for 1 hour and 45 minutes. After math class, Patty has recess for 15 minutes. What time does Patty's recess end?​

Answers

Answer:

10 A.M

Step-by-step explanation:

10:00 AM is the time it ends

The box plot below represents some data set. What percentage of the data values are less than 46? ​

Answers

Answer: 25%

Step-by-step explanation:

HIYAAAAAAA I 'OPE YOUR ALL WELL THE PROBLEM IS THAT I STUGGLE WITH MATHS...

Answers

Trust me, you're not the only one who's bad at math.  '-'

1) Jack wants to buy a new smart phone for
£495. He has already saved £108.
Each week he earns £60.
He saves 40% of his earnings.
How many more weeks must he save for?
(4 marks)​

Answers

Answer:

17 weeks

Step-by-step explanation:

Amt. of money left to save

£495 - £108 = £387

Amt. of money he saves each week

40/100 x £60 = £24

Ans: 387/24 = 16.125

= 17 weeks

16 x £24 = £384(not enough, must save one more week)

What’s the answer and how do you figure these out?

Answers

Thanks for the points

HELP ME ANSWER THIS PLEASE!!!!! WILL GIVE BRAINLIEST

Answers

black socks on monday - 3/9 or .33%.
white socks on tuesday - 5/9 or .55%

Explanation: Probability of black socks on Monday:
Total pair of socks: 1 + 3 + 5 = 9
Number of black socks on Monday: 3
3/9 = 1/3 (or divide to get a percentage)

Probability of white socks on Tuesday:
Total pair of socks: 9
Number of white socks on Tuesday: 5
5/9

Answer:

5/24

Step-by-step explanation:

5 white

3 black

1 red

total number of pairs of socks: 5 + 3 + 1 = 9

On Monday there are 9 pairs. 3 pairs are black.

On Tuesday, one pair of black socks is already taken, so there are now 8 pairs of socks. 5 of those are white.

p(black on Mon. & white on Tue.) = 3/9 * 5/8 = 1/3 * 5/8 = 5/24

Please help!!! Will mark brainliest!

Answers

Answer:

2 x 7 = 5 x 3

Step-by-step explanation:

Write the following in scientific notation:
1. 5,400,000,000.=

Answers

Answer:

5.4x10^9

Step-by-step explanation:

ANSWER: 5.4 x 10 to the 9th power

Whenever you have a large number, you must shift the decimal point to the left to get a number between 1-9.

If the area of a triangle is 15 cm squared, and the base is 2 cm, then what is the height?

Please answer asap.

Answers

Answer:

15

Step-by-step explanation:

To find the area of an triangle use the formula BH(1/2) in this case

The base is 2 so the height must be 15 because 2 times 15 is 30 divided by 2 is 15

Tell me if I'm wrong if not

Hope this helped :]

The height of the triangle is 15 centimeters.

Given the following data:

Area of a triangle = 15 cm squaredBase of a triangle = 2 cm

To find the height of the triangle:

Mathematically, the area of a triangle is given by the formula;

[tex]Area \;of\; a \;triangle = \frac{1}{2}[/tex] × [tex]base[/tex] × [tex]height[/tex]

Substituting the values into the equation, we have;

[tex]15 = \frac{1}{2}[/tex] × [tex]2[/tex] × [tex]height[/tex]

Height = 15 cm

Therefore, the height of the triangle is 15 centimeters.

Find more information: https://brainly.com/question/11037225

13. Based on the pattern, what are the next two terms of the sequence?
2, 7, 12, 17,...
A. 85, 425
B. 22, 425
C. 22, 27
D. 27, 32

Answers

Answer:

C. 22, 27

Step-by-step explanation:

Its adding +5

Answer:

The correct Answer is the letter C.

Step-by-step explanation:

The sequence shows adding 5 to the first number and continue to the next answer.

2 + 5 = 7

7 + 5 = 12

12 + 5 = 17

the next two terms are 22 and 27

17 + 5 = 22

22 + 5 = 27

HOPE IT HELPS

(FROM CROSS)

Some steps to rewrite the expression x3 − 16x + x2 − 16 as a product of three factors are shown below:

Step 1: x3 − 16x + x2 − 16
Step 2: x3 + x2 − 16x − 16
Step 3: x2(x + 1) − 16(x + 1)

Which of the following best shows the next two steps to rewrite the expression?

Step 4: (x2 + 16)(x + 1); Step 5: (x + 4)(x + 4)(x + 1)
Step 4: (x2 − 16)(x + 1); Step 5: (x + 4)(x + 4)(x + 1)
Step 4: (x2 − 16)(x + 1); Step 5: (x − 4)(x + 4)(x + 1)
Step 4: (x2 + 16)(x + 1); Step 5: (x − 4)(x + 4)(x + 1)

Answers

Answer:

third one

Step-by-step explanation:

the third one should be the answer

step 4 came out becoz of taking the common factor(x+1) and combining x2 and (-16)

Step 5 came out becoz of the theory of (a^2-b^2) = (a+b)(a-b)

ps 16 here is equal to 4^2

Question #1: Write the inequality in words.
m> 2

Answers

Answer:

Im not sure i understand the question but, m is greater than 2?

Step-by-step explanation:

Gage Millar, Algebra 2 tutor

m is greater that 2

m=m

>=Greater Than

2=2

The number of students in a book club is increasing 15% per year. If there were 21 students in the club in 2010, then how many were in the club in 2020? Please answer ASAP!!

Answers

The Answer is 63

Step-by-step explanation:

A marine biologist compared two large pools that could be used for a new dolphin training arena. Pool A held 2 x 10¹⁰ gallons, and pool B held 2 x 10⁸ gallons. How many times more gallons will the larger pool hold than the smaller pool?

O4
O 20
O 100
O 200​

Answers

Answer:

20

Step-by-step explanation:

2 x 10 = 20

divided by 4 = 5

The larger pool will hold is 100 times more gallons than the smaller pool

What is capacity and measurement?

From the question, we are to determine how many times more gallons the larger pool holds than the smaller pool

From the given information,

Capacity of the larger pool = 2 × 10¹⁰ gallons

Capacity of the smaller pool = 2 × 10⁸ gallons

To determine how many times more gallons the larger pool  holds more than the smaller pool, we will simply divide the capacity of the larger pool by the capacity of the smaller pool

That is,

[tex]\frac{2 \times 10^{10} }{2 \times 10^{8}}[/tex]

= 10²

= 100

Hence, the larger pool will hold is 100 times more gallons than the smaller pool.

Learn more on Capacity here: https://brainly.com/question/7598008

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ALSO NEED HELP ON THIS ONE, ASAP!! (No links, thats all)
(20!!)

(05.01) Sammy is trying to determine how many triangles she can create out of a square grid that has a side of 12 inches. Use the image below to determine the area of the triangle and how many she can cut out.

A) The area of the triangle is 36 in2, so she can only create 2 triangles
B) The area of the triangle is 72 in2, so she can only create 2 triangles
C) The area of the triangle is 36 in2, so she can only create 4 triangles
D) The area of the triangle is 72 in2, so she can only create 4 triangles

Answers

The area of the triangle is 36 in², so she can create only 4 triangles.

will mark Brainliest :)))))))

Answers

The second one is the answer

How many moles of oxygen atoms are in 2.000 x 10^15 molecules of sulfur dioxide (SO2)?

Answers

Answer:

6.64*10^(-9) moles of oxygen.

Step-by-step explanation:

If we have N molecules, the number of moles is given by:

n = N/Nₐ

where Nₐ is the Avogadro's number:

Nₐ = 6.02214076*10^23

In 2.000*10^15 molecules of sulfur dioxide, we have:

n = (2.000*10^15)/(6.02214076*10^23) = 3.32*10^(-9) moles of sulfur dioxide.

Now, sulfur dioxide has two oxygens and a single sulfur.

Then a mole of sulfur dioxide has two moles of oxygen and a single mol of sulfur.

Then in 3.32*10^(-9) moles of sulfur dioxide, we have twice that amount moles of oxygen, or:

2*3.32*10^(-9) = 6.64*10^(-9) moles of oxygen.

what is the area for a radius of 8 mm​

Answers

Answer:

A= 201.06

Step-by-step explanation:

A = pi r^2

A = pi x 8 x r^2 = 201.06

Find the area of a trapezoid with base 1 is 10 cm, base 2 is 12 and the height is 8

Answers

Answer:

88 sq cm

Step-by-step explanation:

A=(b1+b2) x H divided by 2

Consider a sphere with a volume of 36,000 π cubic centimeters.


Find the radius of the sphere. Be sure to use the correct unit in your answer.

Answers

Answer:

30 cm

Step-by-step explanation:

[tex]Vol. of a sphere (4/3) \pi r^3=36000 \pi \\r^3=36000*3/4=27000\\r=30 cm\\[/tex]

Uhh I’m doing math work and I need help! I’m doing Solve the system of linear equations using substitution. And I have this problem and I keep getting -6 for y but the right answer for y is positive 6; can someone tell me what I’m doing wrong?!?

Answers

Answer:

x=0 and y=6

Step-by-step explanation:

First, you would solve x=y-6 for x.

x=y-6 so you substitute the x in -6x-2y=-12 with (y-6)

-6x-2y=-12 → -6(y-6)-2y=-12

Simplify both sides of the equation = -8y+36=-12

Add -36 to both sides to remove it = -8y+36+-36=-12+-36

-8y+36+-36=-12+-36 → -8y=-48

Divide both sides by -8 to remove it. [tex]\frac{-8y}{-8} =\frac{-48}{-8}[/tex] → y=6

I believe where you went wrong was with where you substituted y-6.

y-6 is the substitute for x so in parenthesis you would put (y-6) where x is in -6x-2y=-12 making the new equation -6(y-6)-2y=-12.

Qadaria is planting a flower garden in the shape of a right triangle in the back corner of her yard. The two sides shown are 7 feet and 8 feet. She would like to put a small fence around the garden, what is the approximate length, in feet, of the fence?

Answers

Answer:

first find the length of the hypotenuse,

a²+b²=c²

7²+8²=113

√113=10.63

perimeter=sum of all sides

10.63+7+8

=25.63

Does anyone know how to solve this?

Answers

Step-by-step explanation:

Strictly increasing functions:

Let a function f(a) for x = a, then,

f(a + h), for x = a + h,

If f(a + h) > f(a), we say this a strictly increasing function, as with increase in x, f(x) also increases.

In the given graph, there are straight lines so you can say increasing interval would have +ve slope.

For x = -4 to 0, it increases = [-4, 0]

For x = 2 to 5, it increases = [2, 5]

Answer: [-4, 0], [2, 5]

Please help!

A rectangular tabletop has an area of.......

[tex]t^2+2t-99[/tex]

What are the possible dimensions of the tabletop? Use factoring.

Answers

Answer: t-9 and t+11

The order doesn't matter, so you could say "t+11 and t-9" to mean the same thing.

=======================================================

Explanation:

Think of two numbers that multiply to -99, but also add to 2. In other words, find two factors of -99 which add to 2. We'll use trial and error.

Here are all the ways to multiply to -99 using integers only:

1 and -993 and -339 and -1111 and -933 and -399 and -1

Add up each factor pair to see which sum is equal to 2.

1 + (-99) = -983 + (-33) = -309 + (-11) = -211 + (-9) = 2 is what we want33 + (-3) = 3099 + (-1) = 98

We can see that 11 and -9 are the two numbers we're after, so therefore, t^2+2t-99 factors to (t-9)(t+11). The order doesn't matter with the factor multiplication.

As a more efficient alternative method, you can use the quadratic formula to solve t^2+2t-99 = 0 to end up with t = 9 and t = -11. That would lead to the  two equations t-9 = 0 and t+11 = 0. Applying the zero product property then gets us (t-9)(t+11) = 0.

To help show that (t-9)(t+11) becomes t^2+2t-99, you can use the FOIL rule to expand that factorization out. This is one way to verify the answer.

Find GK
Help plz...No links!! I will report

Answers

Answer:

GK = 20

Step-by-step explanation:

vertex of the graph of x^2 + 8x + 12=0​

Answers

Answer:

Step-by-step explanation:

Hope this helps u!!

HELP ME HELP ME HELP ME

Answers

Answer:

???

Step-by-step explanation:

This is the last question from me

Answers

Answer:

[tex] {4}^{4} [/tex]

Step-by-step explanation:

[tex] \frac{ {4}^{9} }{ {4}^{5} } [/tex]

[tex]{4}^{9 - 5} [/tex]

[tex] {4}^{4} [/tex]

Hope it is helpful....



A random sample of 500 women and 500 men who eamed degrees in science and engineering (S&E) were asked if they work

In an S&E occupation. The results of the survey are shown.

S&E Occupations Non-S&E Occupations Total

Women

76

424

500

Men

169

331

500

Total

245

755

1000

A person from the survey is randomly selected. What is the probability of each event below?

Drag tiles to the empty boxes to create your answers.

• The probability that a randomly selected person works in an S&E occupation is

• The probability that a randomly selected person is a woman and works in an S&E occupation is

• The probability that a randomly selected person is a woman or works in an S&E occupation is

76

245

500

669

745

Answers

Answer:

0.245 ; 0.76 ; 0.669  

Step-by-step explanation:

  Occupations                 S&E      Non S &E       Total {Gender wise}

  Women                           76             424               500

 Men                                 169            331               500

Total {occupation wise}      245            755             1000 [Grand Total]

1) Probability (any person in S & E) = Total people in S & E / Total people = 245 / 1000 = 0.245

2) Prob (woman & works in S & E) , ie P (W ⋂ S) =  Total women in S & E / Total people  =  76 /  100 = 0.76

3) Prob (woman or works in S & E), ie P (W U S) = P( Women) + P (S & E) - Prob (Women & SE), ie P (W) + P (S &E) - P (W ⋂ S) = ( 500 + 245 - 76 ) / 1000 = 669 / 1000 = 0.669

The probability that a randomly selected person works in an S&E occupation is 0.245.

The probability that a randomly selected person is a woman and works in an S&E occupation is 0.12.

The probability that a randomly selected person is a woman or works in an S&E occupation is 0.745

What are the probabilities?

Probability determines the odds that an event would happen.

The probability that a randomly selected person works in an S&E occupation = total number of people that work in SE / total number of people= 245 / 1000 = 0.245.

The probability that a randomly selected person is a woman and works in an S&E occupation = (number of women / total number of people surveyed) x (number of people that work in SE / total number of people surveyed)

500 / 1000 x (245 / 1000) = 0.12

The probability that a randomly selected person is a woman or works in an S&E occupation = (number of women / total number of people surveyed) + (number of people that work in SE / total number of people surveyed)

= 500 / 1000 + (245 / 1000) = 0.745

To learn more about probability, please check: https://brainly.com/question/13234031

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help me plz I will give 20 point

Answers

Answer:

1) If we have a point (x, y), the angle between the x-axis and a ray that goes from the origin to the point is defined by:

cos(θ) = x/(√(x^2 + y^2))

sin(θ) = y/(√(x^2 + y^2))

Then for the point:

(√(7)/4 , 3/4)

x = √(7)/4

y = 3/4

√(x^2 + y^2) = √((√(7)/4)^2 + ( 3/4)^2) = (1/4)*√(7 + 9) = 1

Then replacing these values in the above equations for the cosine and sine functions, we get:

cos(θ) = x/(√(x^2 + y^2)) = (√(7)/4)/1 = √(7)/4

sin(θ) = y/(√(x^2 + y^2)) = (3/4)/1 = 3/4

2) To find the period, we just need to find the distance between two peaks, or two x-intersects (such that the slope is the same).

Let's look at the graph.

We can see that at x = 0, the graph intersects the x-axis and increases

The next point where this happens is at x = π/3

Then the period of this function is:

P = π/3 - 0 = π/3

The period is π/3

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