For a math assignment, Michelle rolls a set of three standard dice at the same time and notes the results of each trial. What is the total number of outcomes for each trial? Select answer and show work
216
27
36
18

Answers

Answer 1

When Michelle rolls a set of three standard dice simultaneously for each trial, the total number of outcomes can be determined by considering the number of possible outcomes for each individual die and multiplying them together. In this case, since each standard die has 6 possible outcomes (numbers 1 to 6), we multiply 6 by itself three times to account for the three dice. The calculation results in a total of 216 outcomes for each trial.

To find the total number of outcomes, we need to consider the number of possibilities for each die and multiply them together. Since each standard die has 6 faces, there are 6 possible outcomes for each die.

When rolling three dice simultaneously, we need to find the total number of outcomes by multiplying the number of outcomes for each die. In this case, it is 6 * 6 * 6, which equals 216.

To understand why we multiply the number of outcomes, we can think of it as a tree diagram. Each die has 6 branches representing the possible outcomes, and when three dice are rolled together, we multiply the number of branches at each level to calculate the total number of outcomes. In this scenario, it results in 216 possible outcomes.

In summary, the total number of outcomes for each trial when Michelle rolls a set of three standard dice simultaneously is 216.

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Related Questions

What is the measure of the other acute angle ?

Answers

Answer:

[tex]62^{o}[/tex]

Step-by-step explanation:

All the angles in a triangle add up to [tex]180^{o}[/tex]

Every right angle triangle has a right angle in it which is [tex]90^{o}[/tex]

So to find the remaining angle, you do [tex]180^{o}[/tex] - [tex]90^{o}[/tex] - [tex]28^{o}[/tex] = [tex]62^{o}[/tex]


Question 5 Multiple Choice Worth 1 points)
(05.02 MC)
Find the measure of angle x in the figure below.
52
59
X
63
O 35
O 48°
0 69
O 789

Answers

Answer:

your answer should be 48 degrees

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Currently we are only selling this: UR MOM (contains: Eggs, Wheat, Milk, Extra Nuts, etc” $19.99
We take cashapp, venmo, PayPal and other types of payments

Answers

Answer: nice

Step-by-step explanation:

Sounds like a Scam though ngl

EASY POINTS!!
INCLUDE A DISC

Answers

Answer:

I don't know what you mean by disc but the answer is 80 degrees.

Step by Step explanation:

A triangle is made up of 180 deg

65+35=100

180-100=80

Answer:

F. 80°

Step-by-step explanation:

Because a triangle measues 180°

35+65= 100

180-100=80

So the remaining angle must measure an exact 80°


Exercises 2.17 Interpolate a cubic spline between the three
points (0, 1), (2, 2) and (4, 0).

Answers

To interpolate a cubic spline between the points (0, 1), (2, 2), and (4, 0), we can use the concept of spline interpolation. A cubic spline is a piecewise-defined function consisting of cubic polynomials, which smoothly connects the given points.

In order to construct a cubic spline, we need to determine the coefficients of the cubic polynomials for each interval between the given points. The spline should satisfy three conditions: it must pass through each of the given points, it should have continuous first and second derivatives at the interior points, and it should have zero second derivatives at the endpoints to ensure a smooth connection.

We start by dividing the interval into three subintervals: [0, 2], [2, 4]. For each subinterval, we construct a cubic polynomial that satisfies the interpolation conditions. By imposing the continuity and smoothness conditions at the interior point (2, 2), we can obtain a system of equations. Solving this system gives us the coefficients of the cubic polynomials.

Once we have the coefficients, we can express the cubic spline as a piecewise function. The resulting cubic spline will smoothly connect the given points (0, 1), (2, 2), and (4, 0) and provide an interpolation function between them. This interpolation technique ensures a smooth and continuous curve, which can be useful for approximating values between the given data points.

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Which of the statements are correct?
1. A condition for using the chi-square goodness-of-fit test is that all expected counts must be at least five.
2. The chi-square goodness-of-fit test uses 1 − n degrees of freedom.
3. A condition for using the chi-square goodness-of-fit test is the observations are based on a random sa

Answers

The chi-square goodness-of-fit test requires that all anticipated counts be at least five and observations be drawn from random sample in order to be valid. The correct statements are I and III only. Correct option is C.

I. The chi-square goodness-of-fit test requires that all anticipated counts be at least five and that observations be drawn from a random sample in order to be valid. This statement is correct. The chi-square goodness-of-fit test is based on the chi-square distribution, which approximates the sampling distribution of the test statistic.

To ensure the validity of the test, it is generally recommended that all expected counts in the cells of the contingency table have a minimum expected count of five. This guideline helps to ensure that the chi-square test statistic follows the chi-square distribution, which is approximately valid under this condition.

II. The chi-square goodness-of-fit test uses 1 − n degrees of freedom. This statement is incorrect. The number of categories being assessed determines the degrees of freedom for the chi-square goodness-of-fit test. It is equal to the total categories less one. So, if there are n categories, the degrees of freedom for the test would be n - 1, not 1 - n.

III. A condition for using the chi-square goodness-of-fit test is that the observations are based on a random sample. This statement is correct. The chi-square goodness-of-fit test assumes that the observations are obtained from a random sample or represent a random selection from a population.

This assumption is important to ensure that the test results are generalizable to the population from which the sample is drawn. If the observations are not based on a random sample, the test results may not be valid or may be biased. Therefore, random sampling is a condition for using the chi-square goodness-of-fit test.

The correct statements are I and III only. Correct option is C.

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Complete question is:

Which of the statements are correct?

I. A condition for using the chi-square goodness-of-fit test is that all expected counts must be at least five.

II. The chi-square goodness-of-fit test uses 1 − n degrees of freedom.

III. A condition for using the chi-square goodness-of-fit test is the observations are based on a random sample.

a) I only

b) II only

c) I and III only

d) II and III only

e) I, II, and III

Vera exercised for 60% of the time that Noah exercised. Vera exercised for 78 minutes. How long did Noah exercise

Answers

The time spent by Noah exercising is 130 minutes

How to determine how long did Noah exercise

From the question, we have the following parameters that can be used in our computation:

Vera exercised for 60% of the time that Noah exercised. Vera exercised for 78 minutes.

using the above as a guide, we have the following:

Vera = 60% * Noah

So, we have

60% * Noah = 78

Divide both sides by 60%

Noah = 130

Hence, Noah exercised for 130 minutes

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I DON'T WANT A LINK I WANT AN ANSWER CAN YOU ANSWER THIS QUESTION I NEED IT DONE ASSP How large is the distance from one end of your state to the other (North to South)? What is the distance from the east coast to the west coast of your state? Your state is the ___________ largest in the United States.
My state is Virginia

Answers

The term "United States", when used in the geographical sense, is the contiguous United States, the state of Alaska, the island state of Hawaii, the five insular territories of Puerto Rico, Northern Mariana Islands, U.S. Virgin Islands, Guam, and American Samoa, and minor outlying possessions.[1] The United States shares land borders with Canada and Mexico and maritime borders with Russia, Cuba, the Bahamas, and other countries,[note 2] in addition to Canada and Mexico. The northern border of the United States with Canada is the world's longest bi-national land border.

An inflatable figure is a decoration on Gabriella's lawn. A rope 42 in. long secures the top of the figure to the ground at an angle of 80°. About how tall is the figure?
round to the nearest tenth of an inch

Answers

Answer:

41.4 in

Step-by-step explanation:

(sin 80) opposite      =    x

          hypotenuse        42

x = 42 * sin (80)  = 41.4 in

Find (a) the range and (b) the standard deviation of the data set 40,35.45,55,60. Round to the nearest hundredth if necessary.

Answers

Answer:

(a) 25

(b) 9.27

Step-by-step explanation:

Step 1

We have to rearrange the given days set from least to highest

35, 40, 45, 55, 60

(a) the range

Range = The highest number - The least number

= 60 - 35

= 25

(b) the standard deviation of the data set

35, 40, 45, 55, 60.

We find the Mean

Mean = Sum of values/Number of values

= 35+40+45+55+60/5

= 235/5

= 47

We can find the standard deviation now.

The formula =

√(x - Mean)²/n

= √(35 - 47)²+ (40 + 47)² + (45 - 47)² + (55 - 47)² + (60 - 47)²/5

= √144 + 49 + 4 + 64 +169/5

= √430/5

= √86

= 9.273618495

Approximately = 9.27

April has 6 fruit bars.she cuts them into halves. how many 1/2 size bar pieces does she have

Answers

Answer:

12

Step-by-step explanation:

If you cut them into halves then there will be twice as many pieces.

so you do:

6 x 2

= 12

What is the surface area 3yd 3yd 3yd

Answers

Answer:

12

Step-by-step explanation:

your welcome :)

which expression is a fourth root of -1 + i√3?

Answers

Answer:

−1+1.732051i

Step-by-step explanation:

Please someone help me!! Look at picture. Also write as it expression.

Answers

Answer:hi there!that same guy did that w my question too :( i’m reporting his answers. i will help u out tho ahah. the answer is 470(32-n). i hope this helps :). have a good dayyy

Step-by-step explanation:

2( 5/3 + 3/4 ) − 4/3

Answers

Answer:  = 42/12 Or simply = 7/2  

Step-by-step explanation:

2(5/3 + 3/4 ) − 4/3

= 2(5/3) + 2(3/4) − 4/3

= 10/3 + 6/4 - 4/3

= 6/3 + 6/4

= 24/12 + 18/12

= 42/12

Or simply = 7/2      

Expert Help me plssss. I dont understand how to do it

Answers

Answer:

V=301.44ft^3

Step-by-step explanation:

l^2°r^2r^2+h^2

10^2=6^2+h^2

100=36+h^2

100-36=h^3

h^2=64

h=8

Volume of cone:

1/3πr^2h

1/3(π)(6)^2(8)

301.44ft^3

Hope it helps....

Plssss help me out I really need a 87 and don’t get this wrong ❤️

Answers

Answer:

73 degrees

Step-by-step explanation:

The total number of all of the angles in a triangle added together should be 180 degrees. You know that one of the angles is 17. The other angle is 90 because it is a right triangle.

90 + 17 = 107

180 - 107 = 73

So, the other angle is 73 degrees. If this is wrong I am so sorry. Hope this helps you, let me know if it is right!

Answer:

73°

Step-by-step explanation:

A right triangle has one right angle and two acute angles.

A right angle is 90° and the question says that one of the angle are 17°.

We need to add both angles together which = 107°.

A triangle internal total angles will always add up to 180°.

So we need to do 180° - 107° to find the missing angle which = 73°.

Also, the question said that the missing angles was acute and 73° is acute.

hope this helps :)

A rectangle is 29 feet long and 7 feet long. What is the area of this rectangle? 203 ft² 143 ft² 107 ft² 72 ft²

Answers

Answer:

203 ft²

Step-by-step explanation:

We need to use multiplication for the answer of this.

29 × 7 = 203

so that means that the answer in feet is 203 ft²

good luck hope this helped

-cheesetoasty

PLSSSSS HELPPP PLSSSSSSSSS PLS I NEED HELPP

Jorge takes his friends out for smoothies. He buys 5 smoothies and leaves a $3 tip,
paying a total of $23. He wants to know the price of one smoothie.
• price of 5 smoothies: 23 – 3 = 20
1) Which equation shows how to find the price of one smoothie?
20 – 5 = 15
20 : 5 = 4
23 : 5 = 4.60
23 - 5 = 18

Answers

Answer:

Each smoothie was $4

Step-by-step explanation:

20 : 5= 4
$20 was the bill for 5 smoothies...so divide 20 by the number of smoothies leave off the tip because that is not part of the original bill

pls pls pls, I beg you to answer this question only if you know the correct answer please please please I beg you

Answers

Answer:

Median is the middle line of the box, Lower quartile is the number of the lower end of the box, Upper quartile is the line at the larger end of the box, Maximum is the largest number in the box plot (end of right whisker), Minimum is the lowest number (end of left whisker).

Step-by-step explanation:

32.

Median: 88

Maximum (largest number): 102

Minimum (lowest number): 38

Interquartile range:

96 - 72 = 24

b.

25 % higher

75 % lower?

c.

You can see the range is more towards the right of the box meaning they have higher scores, and that the median or middle is a higher number so it means that most of the students understood and did well on the test.

???.

First quartile: 16

Second: 19

Third: 20

Range: 4

34.  Since they are already in least to greatest order, all we have to do is graph it!

85 - 99 is 2

100 - 114 is 1

115 - 129 is 5

130 - 144 is 6

A coach buys a uniform and a basketball for each of the 20 players on the team. Each
basketball costs $10.40. The coach spends a total of $620 for uniforms and basketballs
What was the cost of a single uniform?

Answers

Answer:

$20.60

Step-by-step explanation:

You find how much it costs for the total amount of basketballs (10.40×20=208), then you subtract that number from the total cost of everything to get the cost of all the uniforms (620-208=412), then you divide the total costs for all uniforms by 20 to find the cost for a single uniform (412÷20=20.6). Always make sure that the decimals go until the hundredths place for USD.

Hope this helps!

Use the Extended Euclidean Algorithm to show that the inverse of 177 in mod 901 is 56 by hand calculations ?

Answers

The inverse of 177 in mod 901 is indeed 56, as determined through the Extended Euclidean Algorithm by hand calculations.

Given that the inverse of 177 in mod 901 is 56.

To find the inverse of 177 modulo 901 using the Extended Euclidean Algorithm, perform the calculations step by step.

Step 1: Initialize the algorithm with the given values:

a = 901 (modulus)

b = 177 (number for which to find the inverse)

Introduce two variables:

[tex]x_0 = 1, y_0 = 0[/tex]

[tex]x_1 = 0, y_1 = 1[/tex]

Step 2: Perform the iterations of the Extended Euclidean Algorithm:

While b is not zero, repeat the following steps:

Calculate the quotient and remainder of a divided by b:

q = a / b

r = a % b (modulus operator)

Update the values of a and b:

[tex]a = b[/tex]

[tex]b = r[/tex]

Update the values of x and y:

[tex]x = x_0 - q * x_1[/tex]

[tex]y = y_0 - q * y_1[/tex]

Update the values of [tex]x_0, y_0, x_1, y_1[/tex]:

[tex]x_0 = x_1[/tex]

[tex]y_0 = y_1[/tex]

[tex]x_1 = x[/tex]

[tex]y_1 = y[/tex]

Step 3: Once the loop ends and b becomes zero, and obtain the      [tex]gcd(a, b) = gcd(901, 177) = 1[/tex], indicating that 177 has an inverse modulo 901.

Step 4: The inverse of 177 modulo 901 is given by [tex]y_0[/tex], which is 56.

Therefore, the inverse of 177 in mod 901 is indeed 56, as determined through the Extended Euclidean Algorithm by hand calculations.

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How many toys would Louis build in 10 hours if she built 3 toys every 20 minutes?

Answers

Answer:

90 toys

Step-by-step explanation:

We should use the same unit for time.  Rewrite 20 minutes as 1/3 hour.

The unit rate is then:

    3 toys         9 toys

----------------- = -----------

 1/3 hour          hour

Multiply this unit rate by 10 hours, obtaining 90 toys

5x^2 divided by -45x

Answers

Answer: -1/9 * x.

Step-by-step explanation:

To simplify the expression (5x^2) / (-45x), we can divide the coefficients and subtract the exponents:

(5 / -45) * (x^2 / x)

Simplifying the coefficient:

-1/9 * (x^2 / x)

Now, simplify the variables:

-1/9 * x^(2-1) = -1/9 * x

Therefore, the simplified expression is -1/9 * x.

find the value of X such that the data set has a mean of 118. 101, 119, 104, 115, 109, x

Answers

Answer:

160

Step-by-step explanation:

101+119+104+115+109+x=548+x

there are 6 terms including x so divide the sum by 6

(548+x)/6=118

multiply both sides by 6

548+x=708

subtract 548

x=160

hope that helps :)

Answer:

160

Step-by-step explanation:

There are 6 numbers in the set

101 + 119 + 104 + 115 + 109 + x = 6(118)

101 + 119 + 104 + 115 + 109 + x = 708

548 + x = 708

-548       -548

x = 160

What is the solution to the following graph? Write it as an ordered pair to get credit. ​

Answers

Answer:

(2,6)

Step-by-step explanation:

Show your work please

Answers

Answer:

B 2208cm squared

you follow this formula

A=2(wl+hl+hw)

w means width

l means length

h means height

input the numbers and you got your answer.

Hope this helped ;)

Answer:5760 cm2

Step-by-step explanation:length times width times height 12 times 12 is 144 and 144 times 40 is 5770 cm2

A mint milk shake contains 1.25 fluid ounces of milk for every 4 ounces of ice cream. A strawberry milk shake contains 1.75 fluid ounces of milk for every 5 ounces of ice cream. Which milk shake is thicker?

Answers

Answer:

1.25/4 = 5/16

1.75/5 = 7/20

Determine which one of these fractions is bigger.

Both milkshakes have the same thickness.

Given that,
A mint milkshake contains 1.25 fluid ounces of milk for every 4 ounces of ice cream. A strawberry milkshake contains 1.75 fluid ounces of milk for every 5 ounces of ice cream. Which milkshake is thicker is to be determined.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

Here,
According to the question,
A mint milkshake contains 1.25 fluid ounces of milk for every 4 ounces of ice cream.
Ratio of the milk = 1.25 / 4 = 0.35
A strawberry milkshake contains 1.75 fluid ounces of milk for every 5 ounces of ice cream.
Ratio of the milke = 1.75 / 5 = 0.35
comparing the ratio both are equal,

Thus, Both milkshakes have the same thickness.

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help pls Evaluate.



​​ 169−−−√ ​



Enter your answer in the box.

Answers

Answer:

square root is 13

Step-by-step explanation:

Answer:

13!

Step-by-step explanation:

i used my calculator and did the test k-12! its right!

Use a normal approximation to find the probability of the indicated number of voters. In this​ case, assume that

108108

eligible voters aged​ 18-24 are randomly selected. Suppose a previous study showed that among eligible voters aged​ 18-24, 22% of them voted.

Probability that exactly 29 voted

The probability that exactly 29 of 108 eligible voters voted is

Answers

Using normal approximation, the probability that exactly 29 out of 108 eligible voters voted is approximately 0.2346, or 23.46%.

What is the probability that exactly 29 out of 108 eligible voters voted?

To find the probability that exactly 29 out of 108 eligible voters voted, we can use a normal approximation.

First, we need to calculate the mean (μ) and standard deviation (σ) for the binomial distribution, which can be approximated using the formula:

μ = n * p

σ = √(n * p * (1 - p))

where n is the number of trials (108 in this case) and p is the probability of success (22% or 0.22).

μ = 108 * 0.22 = 23.76

σ = √(108 * 0.22 * (1 - 0.22)) = 4.3

Next, we use the normal distribution to approximate the probability of exactly 29 voters. We will use the continuity correction by considering the interval between 28.5 and 29.5.

P(28.5 < X < 29.5) ≈ P(28.5 - 0.5 < X < 29.5 + 0.5) ≈ P(28 < X < 30)

To find this probability, we calculate the z-scores for 28 and 30 using the mean and standard deviation:

z₁ = (28 - μ) / σ

z₂ = (30 - μ) / σ

Then, we use a standard normal distribution table or calculator to find the probability associated with each z-score:

P(28 < X < 30) ≈ P(z₁ < Z < z₂)

Let's calculate the z-scores and find the corresponding probabilities:

z₁ = (28 - 23.76) / 4.61 ≈ 0.92

z₂ = (30 - 23.76) / 4.61 ≈ 1.35

Using the standard normal distribution table or calculator, we find the probabilities associated with these z-scores:

P(0.92 < Z < 1.35) ≈ 0.4082 - 0.1736 = 0.2346

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