Hartley has two 4-section spinners, each labeled 1-4. She will spin both spinners a total of 96 times. For each pair of numbers where the pointers of the spinners land on, Hartley will subtract the smaller number from the greater number.


How many possible total outcomes are there?

How many times should Hartley spin a difference of 1?

How many times should Hartley spin a difference of 0?

Answers

Answer 1

Answer:

1) Total outcomes of 1 time = 16

2) 36 times

3) 24 times

Step-by-step explanation:

1) Total outcomes

If both spinners are spinning together, and are labelled from 1 to 4, the the outcome are:

{(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)}

We can count them to find total no. of outcomes

Total outcomes = 16

2) When Difference = 1

Following combinations have a difference of 1

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

n = 6

Probability of getting such combination is: 6/16

How many times Harvey would get such a combination out of 96 times?

[tex]\frac{6}{16}\cdot96=36[/tex]

3) When Difference = 0

Following combinations have a difference of 0

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

n=4

Probability of getting such combination is: 4/16

How many times Harvey would get such a combination out of 96 times?

[tex]\frac{4}{16}\cdot96=24[/tex]


Related Questions

Ariana is setting up a salt-water
aquarium. The aquarium holds
24 gallons of salt water. If each gallon
of salt water weighs 8.6 pounds, how
much will the salt water in Ariana's
aquarium weigh?
A 20.64 pounds
B 51.6 pounds
C 206.4 pounds
D 516 pounds

Answers

Answer:

206.4

Step-by-step explanation:

we multiply 8.6*24 and get 206.4

we know this because 1 gallon is equal to 8.6 so we multiply both quantities and get 206.4

Find the measure of angle Angle AEB? A.90 Degrees b. 30 Degrees c. 60 Degrees d. 120 Degrees

Answers

Answer:

C. 60°

Step-by-step explanation:

Read the marking on the protractor.

Answer:60 degrees

Hope it helps

Good luck on your assignment

Stuart is considering a 3/27 balloon mortgage with an interest rate of 4.4% to
purchase a house for $268,000. What will be his balloon payment at the end
of 3 years?

Answers

I am not sure, but I hink it is C!

Answer: It’s A. 254,196.86

Step-by-step explanation:

Find the volume of the following figure.



104.6 km3

262.1 km3​​​​

186.7 km3

560 km3

Answers

i’m pretty sure it’s 560

Hello!

Answer:

[tex]\boxed{ \bf The~volume~of~the~figure~is~186.7~km^3.}[/tex]

___________________________________________________

Explanation:

We must use a certain formula to find the volume. The formula is:

V = [tex]\frac{lwh}{3}[/tex]

Substitute the values:

V = (10 × 7 × 8) ÷ 3

V = [tex]\frac{560}{3}[/tex]

V = 186.7

6. A line passes through (1, -5) and (-3, 7).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in slope-intercept form.

Answers

Answer:

1.y−7=3(x+3)

2.y=3x+16

Step-by-step explanation:

use point-slope formula to find the slope and plug it into the equation

y-y₁=m(x-x₁)

slope= -[tex]\frac{y2-y1}{x2-x1}[/tex]

plug in the value of x and y from both  of the coordinates into this equation and then use one set of points and slope to get your equation

Which of the following is not a valid conclusion given parallelogram ABCD with diagonals AB and BD?

a
AB=CD
b
AC=BD
c
d
m

Answers

Answer:

AC=BD

Step-by-step explanation:

WHAT IS THE PYTHOGERON TRIPLETS IF ONE NUMBER IS 36

Answers

Answer:

Step-by-step

Let the given number be n>2.

For n even, n2+((n/2)2–1)2=((n/2)2+1)2.

For n odd,  n2+((n2–1)/2)2=((n2+1)/2)2

use the forumla to find u r answer

standard form of a pythagorean triplet is 2m, m²+1, m²-1

let us take 2m as 36. so

2m=36, m=36/2

therefore m=18

m²+1  =18²+1   = 324+1   =325

m²-1   =18²-1    = 324-1    =323

therefore  36,325,323 form a pythagorean triplet.

For checking, 36²+323² should be equal to 325²

Tell me if this was helpful....

16. Simplify 4+ (-3) - 2x (-6)
O​

Answers

Answer:

1+12x or

13

Step-by-step explanation:

If the x is an expression then

4+ (-3) - 2x (-6)

remove first parenthesis

4-3-2x(-6)

2 negatives = a postive

4-3+2x*6

multiply

4-3+12x

substract

1+12x

4+ (-3) - 2x (-6)

remove first parenthesis

4-3-2*(-6)

multiply

4-3+12

substract

1+12

add

13

WILL MARK THE BRAINLEIST ASAP The graph below shows the percentages of ingredients in a salad mix. A pie chart titled Percentages in salad mix. 40 percent is iceberg, 27 percent is romaine, 15 percent is spinach, 12 percent is arugula, 6 percent is carrots. Dominic buys a 64-ounce container of salad mix. About how many ounces of romaine lettuce does the container have? 6 ounces 12 ounces 18 ounces 27 ounces

Answers

Hi! here's your answer!ヾ( ̄▽ ̄)

Step-by-step explanation:

Your answer is 18 ounces of romaine lettuce!

Have a nice day/night~   (。・∀・)ノ゙

The correct option is 18 ounces. The weight of romaine lettuce in salad mix container is 17.28 ounces.

Given to us:

iceberg = 40%

romaine = 27%

spinach = 15%

arugula = 12%

carrots = 6%

The total weight of salad mix container = 64 ounces

Romaine lettuce the container have is 27% of the total weight of salad mix container Dominic buys. Therefore,

weight of romaine lettuce in salad mix container,

= 27% of the total weight of salad mix container

= 27% of 64 ounces

= [tex]\dfrac{27\times 64}{100}[/tex]

=17.28 ounces

Hence, the weight of romaine lettuce in salad mix container is 17.28 ounces.

To know more visit:

https://brainly.com/question/8011401

I need help on this.​

Answers

Answer:

11042

Step-by-step explanation:

since it says "in all" that means u have to add them up

6,836 + 4,206 = 11,042

A balloon rises vertically at the rate
of 10 ft. per second. If it encounters
a wind that gives a horizontal displace-
ment of 5 feet per second,
find (to the nearest whole degree)
the angle with the horizontal at
which the balloon rises.
a.
b.
find (to the nearest 10 feet) its
distance from the starting point
after one minute.​

Answers

Answer:

a) 63°

b) 600ft

Step-by-step explanation:

To solve the above question, we would be using Trigonometric function

a) Find (to the nearest whole degree)

the angle with the horizontal at

which the balloon rises.

This above question a is a right angled triangle that is solved for using Trigonometric function of tan

From the question, we told that,

Vertical distance ( opposite side) = 10 feet

Horizontal distance ( adjacent side) = 5 feet.

Tan θ = opposite side/ adjacent side

Tan θ = 10/5

Tan θ = 2

θ = arc tan (2) or tan -¹(2)

θ = 63.434948823°

θ = 63°

The angle with the horizontal at

which the balloon rises to the nearest whole degree is 63°

b) find (to the nearest 10 feet) its

distance from the starting point

after one minute.​

Distance = Speed × time

Time is given in the question as 1 minute

We would convert it to seconds = 60 seconds

We are told in the question that the balloon rises vertically at the speed of 10ft/s

Distance = 10ft/s × 60seconds

Distance from the starting point per minute = 600ft

Samantha and Luis are attempting to determine the average number of library books that seventh-grade students check out at one time. Samantha surveys every other seventh grade student leaving the library. She samples a total of 40 of the 200 seventh graders. Luis samples 30 of the 200 seventh grade students at random in the school cafeteria. Whose sample is the most random? Luis because his sample is taken from the population of all seventh graders Luis because he samples fewer students Samantha because she samples more students Samantha because her sample is taken from the population of students who use the library

Answers

Answer:

Luis, because his sample is taken from the population of all seventh graders. However, Samanthan has the advantage of having a bigger sample, and that makes it more representative.

Taking the sample of the library as Samantha did, is biased, because most of the students there is checking a book, and the aim of the study is not only the ones that use the library, but in general the seventh grade students.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

4. An airplane traveling at 60 m/s comes to a stop in 10 seconds. Calculate the airplane’s acceleration

Answers

The airplane's acceleration is 6m/s^2

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

PLSSSS HELP NEED ASL

Answers

Answer:

27/36.

Step-by-step explanation:

By definition, the tangent function is defined as the ratio of the side opposite to the angle to the side adjacent to the angle (opp/adj).

From angle C, the opposite side is 27, and the adjacent side is 36. We can say that tan C = 27/36.

Which of the following discrete random variables could be represented by a
probability histogram whose bars are all the same height?
O A. The number of goals scored per game by a soccer team in one
season
B. The ages of students in a high school
O C. The outcomes of spinning a spinner with five equal sections
O D. The outcomes of rolling a weighted die

Answers

Answer: The outcome of spinning a spinner with five equal outcomes

Step-by-step explanation:

The discrete random variable that could be represented by a  probability histogram whose bars are all the same height is;

Option C; The outcomes of spinning a spinner with five equal sections

The probability histogram is a type of histogram whereby the height of each bar shows the true probability of each outcome of a specific number of trials.

Now, let us look at the options;

Option A; This cannot be represented by a probability histogram because it doesn't show probability.

Option B; This cannot be represented by a probability histogram because it shows just ages and doesn't show probability.

Option C; This can be be represented by a  probability histogram because it shows the probability of each outcome of spinning five equal sections.

Option D; This cannot be represented by a probability histogram because it should show the probability of each outcome and not just that of one weighted die.

Read more at; https://brainly.com/question/22690577

Find the area of the trapezoid PART. Need this done by 6/6/20

Answers

Answer:

7.5 squared units

Step-by-step explanation:

[tex]b_1 = 4\: units, \:\: b_2 = 1 unit \:\: h = 3 \: units \\

Area\: of \:Trapezoid = \frac{1}{2} \times (b_1 + b_2) \times h \\ \\ = \frac{1}{2} \times (4 + 1) \times 3 \\ \\ = \frac{1}{2} \times 5 \times 3 \\ \\ = \frac{1}{2} \times \times 15 \\ \\ = 7.5 \: {units}^{2} [/tex]

How many factors does the number 25 have?

Answers

Answer:

3

Step-by-step explanation:

1, 5, 25

3

Explanation: 1, 5, 25

What are the excluded values?

0 and 15

3 and -5

-3 and 5

Answers

Answer:

x=5    x = -3

Step-by-step explanation:

-7 / ( x^2 -2x -15)

Factor the denominator

-7

----

(x-5) ( x+3)

The excluded values are when the denominator is equal to zero

(x-5) (x+3) =0

x-5 =0   x+3=0

x=5    x = -3

The table represents a function.

A 2-column table with 4 rows. The first column is labeled x with entries negative 4, negative 1, 3, 5. The second column is labeled f of x with entries negative 2, 5, 4, negative 8.
What is f(5)?

–8
–1
1
8

Answers

Answer:

The value of f(5) is:

-8

Step-by-step explanation:

Lets make  table which represents the function.

Th table has 2 columns, first column contains values for x, second column contains values of y

The table has 4 rows, which means that there are 4 values of x, which corresponds to 4 values of y.

The table is given as:

x          f(x)

-4         -2

-1           5

3           4

5          -8

We need to find the value of f(5).

We can get the value of f(5) if we substitute x = 5 into f(x)

We can see in the table, that if we substitute x=5 in f(x), we get the value of f(5) = -8

Which is the answer

Answer:

F(5)=8

Step-by-step explanation:

1. Solve the following equation for
x. (3 points)
-3x - 2 = -20
X=​

Answers

Answer:

-3x - 2 = -20

Add 2 on both sides

-3x=-18

Divide by -3 on both sides

X=​6

Answer:

Step-by-step explanation:

-3x - 2 = -20

Add  2 to both sides

-3x - 2 + 2 = - 20+ 2

-3x = -18

Divide both sides by (-3)

[tex]\frac{-3x}{-3}=\frac{-18}{-3}[/tex]

x = 6

A new car is purchased for 15700 dollars. The value of the car depreciates at 7.5% per year. To the nearest year, how long will it be until the value of the car is 10100 dollars?

Answers

Answer:

10100=15700(1-0.075)^x

10100=15700(0.925)^x

divide both sides by 15700

0.925^x=101/157

convert decimal

(37/40)^x=101/157

take the log

x= log 37/40 (101/157)

x= 5.65824

It will take almost 6 years to depreciate the value of the car to 10100 dollars.

Which has the greatest value?
A)
216
B)
125
C)
64
D)
49

Answers

Answer:

A) 216

Step-by-step explanation:

216 has the greatest value

A) 216 has the greater value

Why does Percy decide he has no choice but to jump? What would you have done in his place?

Answers

Answer:

He had nowhere to go,and he had to prove his bloodline to Echidna,and she called him a coward. He wanted Poseidon to help him.

Step-by-step explanation:

5. A silo was constructed at a farm in the shape of a right circular cylinder. It was built with an
approximate volume of 842,411 cubic meters and a height of 85 meters. What was the length of the diameter
of the base, to the nearest meter?

Answers

Answer: 112 meters

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a cylinder (V) : π x radius ² x height

Replacing with the values given :

842,411 = π x r ² x 85

Solving for r:

842,411 / (π x 85) = r²

3,154.67 = r²

√3,154.67 = r

56.16 m = r

Finally, we have to multiply the radius by 2 to obtain the diameter:

56.16 x 2 = 112 meters

Feel free to ask for more if needed or if you did not understand something  

Please help me with these two questions. Find the circumference AND area for the circles on the right. (I will mark brainliest)

Answers

5). Radius = 6 km. Circumference = 12π km. Area = 36π km²

6). Diameter = 8 mm. Circumference = 8π mm. Area = 16π mm²

Answers:

1. Circumference=12 pi on

Area=36 pi km^2

2. Circumference=8 pi mm

Area=16 pi mm ^2

Please see theattachedpicturefor full solution

Hope it helps

Good luck on your assignment

Pls help with this it is really quick

Answers

Answer:

The first one!

Step-by-step explanation:

1/4*1/4*1/2*= 1/32

Please find the VOLUME of this figure... Write the formula and plug in the values... Write your answer with units and box your answer

ALSO

What is this shape called

Answers

Answer:

This shape is cylinderVolume = [tex]\pi r^2h[/tex]

⠀⠀⠀⠀Volume = 22/7 × 6 × 6 × 6

⠀⠀⠀⠀Volume = 678.857 in³

When solving the equation 3x + 2 = 13 , Joseph used a property of algebra to transform the equation into 3x = 11 . Which property did he use ?

A) Multiplication |
B) Division
C) Addition
D) Subtraction

Answers

Answer:

D

Step-by-step explanation:

Subtraction

You have saved $900 for a vacation to Aruba. The total cost of the trip is $2100. If you save $150 a week, how many weeks will it take before you have enough money for your trip?

Answers

Answer:

8 weeks

Step-by-step explanation:

$2100 - $900 = $1200

$1200/$150 = 8 weeks

A triangle has side lengths of 11 cm and 9 cm. Which could be the value of the third side, 20 cm or 15 cm?

There are several vendors at the carnival who sell products and also advertise their businesses.
​Steve works for a recreational company that sells ATVs, dirt bikes, snowmobiles, and motorcycles.

​His boss paid him $500 for working all of the days at the carnival plus 5% commission on all of the sales made at the carnival.

​What was the minimum amount of sales Steve needed to sell if he earned more than $1,500?

Answers

Answer:

Step-by-step explanation:

third side is <11+9 or <20cm

or >11-9 or >2

so third side=15 cm

Let x be the sale.

Then 500+.05x>1500

.05x>1500-500

.05 x>1000

x>$2000

minimum sale=$2000

Answer:

Length of Third Side = 15 cm,

Steve Sold More than $ 20,000

Step-by-step explanation:

1 . Consider the Triangle Inequality Theorem, as to solve for the length of the third side;

[tex]Triangle Inequality Theorem -\\\\| a - b | < c < a + b,\\| c - a | < b < c + a,\\| c - b | < a < c + b,\\\\Say, a = 11 cm, b = 9 cm, c = 20 -\\\\11 - 9 < 20 < 11 + 9,\\20 - 11 < 9 < 20 + 11,\\20 - 9 < 11 < 20 + 9\\\\As 20 = 20, not 20 < 20 -\\Conclusion ; Length of Third Side = 15 cm[/tex]

2 . Consider c - commission $;

[tex]5percent - FractionForm, -\\5 / 100 - Simplified -\\1 / 20,\\[/tex]

[tex]Inequality - 500 + 1 / 20 * c > 1,500,\\500 + 1 / 20 * c > 1,500 =\\1 / 20c > 1,000,\\c > 20,000 -\\Conclusion ; Steve Sold More Than 20,000 Dollars[/tex]

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