I only have one problem and that is with the SZ=8 and the rest because I don't know where the 8 would go

The probability that exactly one roll results in a sum of 12 when rolling a pair of fair dice 24 times is 2/3, or approximately 0.6667.

To find the probability that exactly one roll results in a sum of 12 when rolling a pair of fair dice 24 times, we need to calculate the probability of a single roll resulting in a sum of 12 and then multiply it by the number of ways we can choose one roll out of the 24 rolls.

The probability of a single roll resulting in a sum of 12 can be determined by counting the favorable outcomes. In this case, there is only one favorable outcome: rolling a 6 on one die and a 6 on the other die.

Since each die has 6 sides, the total number of outcomes for rolling two dice is 6 * 6 = 36.

Therefore, the probability of a single roll resulting in a sum of 12 is 1/36.

Now, we need to consider the number of ways we can choose one roll out of the 24 rolls. This can be calculated using the combination formula:

Number of ways = 24 choose 1 = 24

Finally, we multiply the probability of a single roll resulting in a sum of 12 by the number of ways we can choose one roll:

Probability = (1/36) * 24 = 2/3

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a. The total number of possible committees is \({10\choose 4} \times {14\choose 3} = 1001 \times 364 = 364364\).

b. The number of committees on which the specific man and woman who refuses to serve on the committee are \({8\choose 3} \times {9\choose 4} = 5040\).

c. There are a limited number of combinations in which no two ladies are consecutive that is  \(4! \times {4\choose 3} 3! = 288\).

(a) To form a committee of 7 people from 10 men and 9 women, we can choose 4 men out of 10 in \({10\choose 4}\) ways, and choose 3 more people from the remaining 5 men and 9 women in \({14\choose 3}\) ways. Therefore, the total number of possible committees is \({10\choose 4} \times {14\choose 3} = 1001 \times 364 = 364364\).

(b) If 1 woman refuses to be on the committee with a particular man, we can count the number of committees that do not include that particular man and that woman, and subtract that number from the total number of possible committees.

There are \({9\choose 1}\) ways to choose the woman who refuses to be on the committee with the particular man, and \({8\choose 3}\) ways to choose the remaining 3 women. There are \({9\choose 4}\) ways to choose 4 men out of the 9 remaining men.

Therefore, the number of committees that include the particular man and the woman who refuses to be on the committee is \({8\choose 3} \times {9\choose 4} = 5040\). The total number of possible committees is \({10\choose 4} \times {9\choose 3} = 12600\). Thus, the number of possible committees that do not include the particular man and the woman who refuses to be on the committee is 12600 - 5040 = 7560.

(c) There are \({10\choose 4}\) ways to choose 4 men out of the 10 men, and {9\choose 3} ways to choose 3 women out of the 9 women. The total number of possible ways to form a committee of 4 men and 3 women is \({10\choose 4} \times {9\choose 3} = 12600\). To calculate the probability that no women are next to each other in the queue, we can count the number of arrangements where no two women are consecutive and divide it by the total number of possible arrangements. We can arrange the 4 men in a line in 4! ways, and arrange the 3 women in the 4 spaces between the men in \({4\choose 3} 3!\) ways. Therefore, the number of arrangements where no two women are consecutive is \(4! \times {4\choose 3} 3! = 288\). The probability that no women are next to each other in the queue is 288/12600 = 0.0229, or about 2.29%.

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Answer:

+4 each time

Step-by-step explanation:

Answer:

y= Ix-3I    (that says absolute value btw)

Step-by-step explanation:

This is the result of starting with y = |x|, then shifting it three units to the right. Replacing x with x-3 moves the xy axis three units to the left, giving the illusion the V shaped curve moved 3 spots to the right.

We don't shift up or down since the vertex is on the x axis.

We also don't vertically compress or stretch the graph either.

Side note: the vertex for this graph is (3,0) which is the lowest point of the curve.

for 7 pints

answer 14 cups

The table of values that represents exponential decay is (c)

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

The table of values

An exponential function is represented as

y = abˣ

Where

Rate = b

When the rate is less than 1, then the table represents a decay

i.e when y reduces as x increases

The table that has the above features is the table (c)

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Answer:

56

Step-by-step explanation:

x° = 56° (exterior alternate angles)

x = 56

Answer:

Step-by-step explanation: 3/5=0.6 and 60%=0.6

Answer:

D

Step-by-step explanation:

a = 20 because the rate of change is –3.

A linear function has one independent variable and one based variable. The independent variable is x and the based variable is y. a is the steady time period or the y-intercept. it's far the cost of the dependent variable while x = zero.

Which will be a linear feature, a graph needs to be both linear (a direct line) and a characteristic (matching each x-value to the most effective y-value). It must also pass a polygraph check, complete an obstacle path, and offer a minimum of 3 references. The qualifications are stringent.

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Answer:

The answer is D. 18

Step-by-step explanation:

Im on a unit test review rn just saying

The required number of apples is 18 for which the prediction of the total weight is an extrapolation.

Data has been given, for apples as weight and number of apples, for the number of apples is the prediction of the total weight an extrapolation is to determine.

Extrapolation is defined as the estimation of an unspecified value established on extending a known series of values or realities. Extrapolating is to assume something not directly stated from existing data. Alter of extrapolation is Interpolation, it is the accomplishment of calculating a value between two comprehended values that exist between a sequence of values.

Since among the options number of apples for extrapolation is supposed to be the one that is beyond the given range, So for the following number of apples is 18.

Thus, The required number of apples is 18 for which the prediction of the total weight is an extrapolation.

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Answer:

(7³ + 7³) cubic units

Step-by-step explanation:

The formula for the volume of a cube = (Side length)³

From the question, we are told that, we have two cubes

Cube 1 :

Side length = 7

Volume of cube 1 = 7³ cubic units

Cube 2

Cube 2 also has a side length of 7 as well

Volume cube 2 = 7³ cubic units

We are asked in the question to find the total volume of the cube and express as exponents

Total volume = Volume of cube 1 + Volume of cube 2

=( 7³ + 7³) cubic units

Answer:

$41.24

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 54.99 × 25/100

Discount = 54.99 x 0.25

You save = $13.75

Final Price = Original Price - Discount

Final Price = 54.99 - 13.7475

Final Price = $41.24

Answer:

The distance is 29.3 feet

Step-by-step explanation:

Here, we want to find the distance from the diving board to the bottom of the pool

To get this, we will need to add the height of the diving board above the ground plus the distance of the bottom of the pool below the ground

Mathematically, we can have this as:

12.4 + 16.9

= 29.3 feet

Answer: -9/7

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

An expected value is another term for the mean of a probability distribution. The number of successes in a binomial experiment must range from zero to n. In a binomial experiment, the number of successes can never exceed the number of trials. The probability of a success must exceed the probability of a failure.

The prompt on fractions is given as follows:

1 ) (1/2) ÷ 4 = 1/8
2) ( 1/5) ÷ 2 = 1/10

3) (1/3) ÷ 5 = 1/15

4) (1/4) ÷ 4 = 1/16
5) The solution to the puzzle for (1/2) ÷ 3 is given below.

The calculations are given as follows;

1 )

= (1/2) x (1/4) [dividing by a number is the same as multiplying by its reciprocal]

= 1/8

2) (1/5) ÷ 2

= (1/5) x (1/2)

= 1/10

3)

(1/3) ÷ 5

= (1/3) x (1/5)

= 1/15

4) (1/4) ÷ 4

= (1/4) x (1/4)

= 1/16

5) Mary had 1/2 of a pie that she wanted to share with 3 of her friends. She decided to divide it equally among them. Each friend got 1/6 of the pie. To check, Mary multiplied 1/6 by 3 and got 1/2. This shows that (1/2)/3 equals 1/6, since dividing by 3 is the same as multiplying by its reciprocal, 1/3.


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The future value (A) is approximately 5610.2 for the given investment and annu $4000 for 5 years at 7% compounded annually

To find the compound amount and compound interest rate for the given investment, we can use the formula for compound interest:

(a) The compound amount in the account after 5 years can be calculated using the formula:

A = P(1 + r/n)^(nt)

Where A is the compound amount, P is the principal (initial investment), r is the interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

Given that the principal (P) is $4000, the interest rate ® is 7%, and the interest is compounded annually (n = 1), and the investment is for 5 years (t = 5), we can plug these values into the formula:

A = 4000(1 + 0.07/1)^(1*5)

A = 4000(1 + 0.07/1)^(1*5)

= 4000(1 + 0.07)^(5)

= 4000(1.07)^(5)

≈ 4000(1.402551)

≈ 5610.20

Therefore, the future value (A) is approximately 5610.2

Calculating this expression will give us the compound amount after 5 years.

(b) The compound interest earned can be calculated by subtracting the principal from the compound amount:

Compound interest = Compound amount – Principa

This will give us the total interest earned over the 5-year period.

By evaluating the expressions in (a) and (b), we can determine the compound amount and the compound interest earned for the given investment.

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Answer:

59

Step-by-step explanation:

We know that all the angles must add up to 180

so we have

38+2b-20+b-15=180

solve for b

3b+3=180

3b=177

b=59

Answer:

b=59

Step-by-step explanation:

angles in the triangle add up to 180

this would mean that

38 +2b-20 + b-15 = 180

if we simplify this then it would be

3+3b= 180

rearrange

3b = 177

b = 59

Answer:

angle C = 69 degrees

Step-by-step explanation:

(6x - 9) + (6x - 24) + (81 - x) = 180

11x + 48 = 180

11x = 132

x = 12

(81 - 12) = 69 degrees

Answer:

69°

Step-by-step explanation:

All angles in a triangle must add to 180°:

(5x+9)+(4x+15)+(x+36)=180

10x+60=180

10x=120

x=12°

The problem asks for the measure of angle C:

C=(81-x)°=69°

You were on the right track because you got the value of x correct. You just didn't answer the problem correctly.

The value of the double integral  ∫∫ (8x)/(1 + xy) dA ; R = [0, 8] x [0, 1] is  11.77

In this question we need to calculate the double integral. {8x}/{1 + xy} dA ; R = 0, 8 0, 1

i.e., to find ∫∫ (8x)/(1 + xy) dA ; R = [0, 8] x [0, 1]

First we integrate the function (8x)/(1 + xy)  as a function of y, treating the variable x as a constant.

G(x) = ∫_[0, 8] ((8x)/(1 + xy) ) dy

G(x) = 8 ln(8x + 1)

Now we calculate the integral of the previous result as a function of x.

i.e., ∫_[0, 1] G(x) dx

= ∫_[0, 1] [8 ln(8x + 1)] dx

= 9 ln(9) - 8

= 11.77

Therefore, the solution to the double integral (8x)/(1 + xy) dA ; R = [0, 8] x [0, 1] is 11.77

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Answer:

................................

Answer:

x=-2, y=5/3

Step-by-step explanation:

Answer: Hi the answer is B (-2, 5/3).

Hope this helps!

Answer:

69

Step-by-step explanation:

Answer:

Step-by-step explanation:

The number 1000 has prime factors:  2, 2, 2, 5, 5, 5.

The factors of 1000 include 1 and combinations of these numbers multiplied together (in any arrangement):

                    1,  2*2*2*5*5*5     or  1, 1000

                    1*2,  2*2*5*5*5    or  2, 500

                    1*2*2,  2*5*5*5    or  4, 250

                    . . .      (You already did these)

But, a “factor” is “a number or quantity that when multiplied with another produces a given number or expression,” so you should consider the following:

           How many 1's?    How many 5's?    How Many 2's?    [and any others ...]

1 =                    1                        0                    0

2 =                    1                        0                    1

4 =                    1                        0                    2

8 =                    1                        0                    3

5 =                    1                        1                    0

10 =                  1                        1                    1

20 =                  1                        1                    2

40 =                  1                        1                    3

25 =                  1                        2                    0

50 =                  1                        2                    1

100 =                1                        2                    2

200 =                1                        2                    3

125 =                1                        3                    0

250 =                1                        3                    1

500 =                1                        3                    2

1000 =              1                        3                    3

There are 4*4=16 factors because there can be 4 (that is, 0-3) 5's and 4 (that is 0-3) 2's.

Answer:

the answer to the question is four

Tickets for a ball game are $69 for Primary Level seats and $39 for Porch Level seats. A total of $804 was spent on the tickets by a group of 16 friends who attended the game.

How many tickets were purchased for the Main Level and the Terrace Level?

No. of tickets for the Main Level = X

No. total price = 804 = 39(16 - X) + 69X = 624 - 39X + 69X = 624 + 30X 30X = 804 - 624 = 180 X = 180/30 = 6

No. of Terrace Level Tickets = 16 - X

Main Level Tickets Prace = 69X

Terrace Level Tickets Prace = 39X

Total Price = 804 = 39(16 - X) + 69X = 624 - 39X + 69X =of tickets for the Main Level, X = 6

No. of tickets for the Terrace Level: 16 - X = 16 - 6 = 10 Check:39x10 + 69x6 = 390 + 414 = 804

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Answer:

Add the exponents

Step-by-step explanation:

Answer:

Triangle ABC is not a right triangle because d) it doesn't have a pair of perpendicular sides

Step-by-step explanation:

Perpendicular sides mean that the slopes are "opposite reciprocals" of each other.

Example: slope is 1/2 and the perpendicular line's slope is -2

How? 1/2 changes to 2 (you flip it, reciprocal), and then from 2 to -2 (apply opposite sign)

So when you calculate the slopes of AB, AC, and BC, none of their slopes are opposite reciprocals of each other. You can calculate the slopes of each and compare them if you want to check.

I really hope this helps, do you think you can tell me if you got the answer correct? I'd feel really bad if you got it wrong because of me. All I know is that it's not a right triangle.

Answer:

You can just mark the other person as brainliest.

Step-by-step explanation:

Answer:

.0097

Step-by-step explanation:

Take the decimal and move it 3 (variable for any negative exponent) places to the left

Answer:

0.0097 is the answer.

Step-by-step explanation:

You start by counting from the decimal place. For negative exponents, you would count to the left. Three decimal places to the left of 9.7 is 0.0097.

Answer:

Look in explanation

Step-by-step explanation:

1. 6^2 x 2^2 = (6 x 6) x (2 x 2) = 36 x 4 = 144

2. 9^2 x 4 = (9 x 9) x 4 = 81 x 4 = 324

(Number 3 was not shown)

4. 8^3 + 270 = (8 x 8 x 8) + 270 = (64 x 8) + 270 = 512 + 270 = 782

5. 2^5 - 16 = (2 x 2 x 2 x 2 x2) - 16 = 32 - 16 = 16

(Number 6 was not shown)