How many different possible outcomes are there? Please help!

The surface area of the prism is 840 square inches.

What is Prism?

A prism is a three-dimensional geometric shape that has two identical parallel bases and straight sides that connect the bases. The sides of a prism are typically rectangular, but can also be triangular or other polygonal shapes.

To find the surface area of the triangular prism, we need to find the area of the two triangular bases and the three rectangular faces.

Area of the triangular base:

The base is a right triangle with base 10 inches and height 24 inches. Therefore, the area of the base is:

(1/2) x base x height = (1/2) x 10 x 24 = 120 square inches.

Area of the rectangular faces:

The rectangular faces are all congruent, with dimensions of 10 inches by 20 inches. Therefore, the area of each rectangular face is:

length x width = 10 x 20 = 200 square inches.

There are three rectangular faces, so the total area of the rectangular faces is:

3 x 200 = 600 square inches.

Total surface area:

The total surface area of the prism is the sum of the areas of the two triangular bases and the three rectangular faces:

Total surface area = 2 x area of triangular base + 3 x area of rectangular face

= 2 x 120 + 3 x 200

= 240 + 600

= 840 square inches.

Therefore, the surface area of the prism is 840 square inches.

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Answer:

x=2

PT=7

Step-by-step explanation:

set up the equation like this: PT=TQ

(4x-1)=(2x+3)

calculate to find x

x=2

put x into the equation for PT

4(2)-1=7

The value of expected number of the boxes that will weigh 25 oz or less from the 1200 boxes of rice in shipment is 935.

When we got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z-score.

Since,

X ~ N (μ, σ)

Where, X is following normal distribution with mean  and standard deviation.

When transformed into a typical normal distribution, it may be used as follows:

z = X - μ / σ

Z ~ N (0, 1)

so we can write

P (Z ≤ z) = P (Z < z)

Also, know that for Z = z in z tables, the p-value we get is

P (Z ≤ z) = p value

Let;

X is the weights of the rice boxes made at the hypothetical factory, expressed in ounces.

then, as stated in the issue, we have;

X ~ N (μ  = 24,  σ= 1.3)

The probability is:

P (X ≤ 25)

Converting X to standard normal distribution, we get:

Z = X - μ / σ = X - 24 / 1.3

The probability P (X ≤ 25) can be rewritten as:

P (X ≤ 25) = P (Z ≤ 25 - 24/1.3)

                 = P (Z ≤ 0.77)

Z = 0.77 has a p-value of 0.7794 according to the z-tables.

Thus, we get:

P (X ≤ 25) = P (Z ≤ 0.77) = 0.7794 = 77.94%

Let;

n = 1200 boxes being bernoulli experiments, each of them prone to success with probability p = 0.7794 or failure (weight > 25 oz) with probability

q = 1-p = 0.2206.

And, Y = the number of successes for 1200 trials.

Then we get:

Y ~ B (n = 1200, p = 0.7794)

The predicted value of Y is the anticipated number of successes, or the anticipated number of boxes that weigh 25 oz or less.

We get:

E (Y) = np = 1200 x 0.7794 = 935

Thus, Out of the 1200 boxes of rice being shipped, 935 are anticipated to weigh 25 ounces or less.

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Answer:

x = -12

Step-by-step explanation:

\( {7}^{ - 9} \times {7}^{ - 3} = {7}^{x} \)

the base is equal so we can add the number above

\( {7}^{ - 9 + ( - 3)} = {7}^{x} \)

\( {7}^{ - 12} = {7}^{x} \)

the base is equal so is the number above

-12 = x

If the length of the garden is one digit whole number and the width is 5 meter, then the lease possible area is 5 meters

The shape of the region is rectangular

The length of the garden is one digit whole number

One digit whole numbers are {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

The width of the rectangular region = 5 meters

We know the area of the rectangle = Length × Width

Here we have to find the least possible area

So the width is given but the length of the garden is unknown but it is a one digit whole number

To get least possible area, the length should be least number, because the area is the product of length and width

The length of the garden = 1

The least possible area = 1 × 5

= 5 meter square

Therefore, the least possible area is 5 meter square

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To compare the 3-month and 12-month moving average forecasts using the mean absolute deviation (MAD) criterion, we need to calculate the MAD for each model and then compare them. The MAD is a measure of the average magnitude of the forecast errors, and a lower MAD indicates a better forecast.

To calculate the MAD for the 3-month moving average model, we need to first calculate the forecasted values for each month by taking the average of the unemployment rates for the previous 3 months. For example, the forecasted value for April 2018 would be the average of the unemployment rates for January, February, and March 2018. We then calculate the absolute deviation between the forecasted value and the actual value for each month, and take the average of those deviations to get the MAD for the 3-month moving average model.

We can repeat this process for the 12-month moving average model, but instead of taking the average of the previous 3 months, we take the average of the previous 12 months.

Once we have calculated the MAD for both models, we can compare them to determine which model yields better results. Generally, a lower MAD indicates a better forecast. However, it is important to note that the MAD criterion only considers the magnitude of the forecast errors and does not take into account the direction of the errors (i.e., overestimation versus underestimation).

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Full Question ;

The accompanying dataset provides data on monthly unemployment rates for a certain region over four years. Compare 3- and 12-month moving average forecasts using the MAD criterion. Which of the two models yields better results? Explain. Click the icon to view the unemployment rate data. Find the MAD for the 3-month moving average forecast. MAD = (Type an integer or decimal rounded to three decimal places as needed.) A1 fx Year D E F G H I 1 2 3 1 с Rate(%) 7.8 8.3 8.5 8.9 9.4 9.6 9.4 9.5 9.7 9.9 9.8 10.1 9.9 9.7 9.8 9.91 9.7 9.4 9.6 9.4 9.3 9.5 9.9 9.5 9.2 9.1 8.9 A B Year Month 2013 Jan 2013 Feb 2013 Mar 2013 Apr 2013 May 2013 Jun 2013 Jul 2013 Aug 2013 Sep 2013 Oct 2013 Nov 2013 Dec 2014 Jan 2014 Feb 2014 Mar 2014 Apr 2014 May 2014 Jun 2014 Jul 2014 Aug 2014 Sep 2014 Oct 2014 Nov 2014 Dec 2015 Jan 2015 Feb 2015 Mar 2015 Apr 2015 May 2015 Jun 2015 Jul 2015 Aug 2015 Sep 2015 Oct 5 7 3 ) 1 2 3 1 5 7 9.1 ) 9. 1 2 3 1 5 7 ) 9.1 8.9 8.9 8.9 8.9 8.7 8.4 8.3 8.3 8.4 8.1 8.1 8.4 8.2 8.3 7.7 7.9 7.9 7.8 1 2 2015 Dec 2016 Jan 2016 Feb 2016 Mar 2016 Apr 2016 May 2016 Jun 2016 Jul 2016 Aug 2016 Sep 2016 Oct 2016 Nov 2016 Dec 3 1 5 3 2 2

Identify the centers and radii of the two circles. To find the transformation rule, we need to find how many units horizontally and vertically to move the center of one circle to the center of the other circle.

The equation for the shifted circle is

(x+2) ^2+(y+4) ^2=36.

Description: The standard shape of a circle is

(x−h)2+(y−k)2=r2,

where r is the circle's radius and (h,k) is the circle's center.x2+y2=36 centered at (0,0). If the circle is shifted two units to the left, it means that the new center is h = -2. If we move the circle down four units, the new center is k = −4. So, the shifted circle has the equation (x+2)2+(y+4)2=36.

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Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Correct answer is option (c).

To determine which set of numbers could represent the three sides of a right triangle, we can use the Pythagorean theorem:

a. {13, 48, 50}:

Using the Pythagorean theorem: 13² + 48² = 169 + 2304 = 2473 ≠ 50²

Therefore, this set of numbers does not represent the sides of a right triangle.

b. {49, 55, 73}:

Using the Pythagorean theorem: 49² + 55² = 2401 + 3025 = 5426 ≠ 73²

Therefore, this set of numbers does not represent the sides of a right triangle.

c. {16, 63, 65}:

Using the Pythagorean theorem: 16² + 63² = 256 + 3969 = 4225 = 65^²

Therefore, this set of numbers represents the sides of a right triangle.

d. {20, 72, 75}:

Using the Pythagorean theorem: 20² + 72² = 400 + 5184 = 5584 ≠ 75²

Therefore, this set of numbers does not represent the sides of a right triangle.

Based on the Pythagorean theorem, the set of numbers {16, 63, 65} represents the sides of a right triangle.

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Answer:

C.

\({ \tt{f(x) = \frac{12}{x} - 18}} \: and \: { \tt{g(x) = \frac{12}{x + 18} }}\)

Step-by-step explanation:

\({ \tt{f(x) = \frac{12}{x} - 18}}\)

Let inverse be m:

\({ \tt{m = \frac{12}{x} - 18 }} \\ { \tt{x(m + 18) = 12}} \\ { \tt{x = \frac{12}{m + 18} }} \\ \\ { \boxed{ \sf{f {}^{ - 1} (x) = g(x) = \frac{12}{x + 18} }}}\)

Answer:

4 pizzas are needed.

Step-by-step explanation:

See image. You could totally think this through and use mental math to figure out how many pizzas are needed. See first image. Picture a pizza, cut it into 6 slices. It feeds 6 people. 2 pizzas feed 12 people. 3 pizzas feed 18 people. 4 pizzas feed 24 people.

If you have to write equations and show math work, you can write a single-variable equation or use a proportion. See image.

Answer:

no

Step-by-step explanation:

The graph of ƒ has a point of inflection  is (D) -3.259, 0, and 1.603

To determine if a function has a point of inflection, we need to find the values of x where the second derivative changes sign from positive to negative or vice versa. The sign of the second derivative at a point determines the concavity of the function at that point. If the second derivative is positive, the function is concave up, and if it is negative, the function is concave down.

Since ƒ"(a)=x² cos(2a+22), we can see that the second derivative is positive for x²>0. So the function is concave up when x²>0, which means when x is in the interval (-∞,0)∪(0,∞).

Since the interval (-4,3) includes both negative and positive values of x, the graph of ƒ may have a point of inflection within this interval. To determine the exact points of inflection, we need to find the values of x where the second derivative equals zero or is undefined.

Therefore, the answer is (D) -3.259, 0, and 1.603.

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The solution to the inequality is all values of x less than 5. We can write the solution set using interval notation as (-∞, 5).

To solve the inequality -5x - 3 + 2x > -18, we need to isolate the variable x on one side of the inequality sign.

Starting with the given inequality:

-5x - 3 + 2x > -18

Simplifying the left-hand side by combining the like terms:

-3x - 3 > -18

Adding 3 to both sides:

-3x > -15

Dividing both sides by -3, and reversing the inequality sign since we are dividing by a negative number:

x < 5

Therefore, the solution to the inequality is all values of x less than 5. We can write the solution set using interval notation as (-∞, 5).

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9514 1404 393

Answer:

Step-by-step explanation:

It looks like you want to simplify the sums.

1. (3r -4) -(-5b -3) = 3r -4 +5b +3 = 5b +3r +(-4+3)

  = 5b +3r -1

__

2. (-4k -1) -(-6k -6) = -4k -1 +6k +6 = (-4+6)k +(-1+6)

  = 2k +5

__

3. (-6k +7) -(7k +5) = -6k +7 -7k -5 = (-6-7)k +(7-5)

  = -13k +2

Binomial Distribution:

Label "Binomial" is typed in cell C16 and "Distribution" in cell D16.

The values of n, p, and x are taken from cells F16, H16, and the desired cell, respectively.

The following probabilities are calculated:

o P(x = 21) = 0.0402

o P(x ≤ 16) = 0.0138

o P(x > 10) = 0.9983

o P(15 ≤ x ≤ 23) = 0.7063

o P(15 < x < 23) = 0.6359

Normal Distribution:

Label "Normal" is typed in cell C24 and "Distribution" in cell D24.

The values of mean and standard deviation are taken from cells F24 and H24, respectively.

The following probabilities are calculated:

o P(x < 80) = 0.8413

o P(x > 65) = 0.9332

o P(55 < x < 85) = 0.8664

o The values of x1 and x2 are calculated using the norm.inv function, with a probability of 0.05 in cell H29. The value of x1 is found to be 58.9293 and x2 is found to be 89.0707.

In part 2, the binomial distribution is used to find the probabilities of a local college basketball team winning certain number of games in a 30-game season. The probability of winning a single game is given, and the number of games won is treated as a discrete variable. The binom.dist function is used to calculate the probabilities.

In part 3, the normal distribution is used to find probabilities of scores on a national statistics exam. The mean and standard deviation of the exam scores are given, and the scores are treated as a continuous variable. The normal dist function is used to calculate probabilities of a score being below or above a certain value, or within a certain range. The norm.inv function is used to find the corresponding value of the score given a certain probability.

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Events that have no outcomes in common  are said to be disjoint or mutually exclusive.

Two sets are known to be mutually exclusive when they have no common elements. Mutually exclusive events are those that cannot take place at the same moment.

If two events are considered disjoint events, then the probability of both events occurring at the same time will be zero.

Set A = {2, 4, 6, 8, 10, 12, 14, 16}

Set B = {1, 3, 5, 7, 9, 11, 13, 15}

A and B do not have any numbers in common, so P (A ∩ B) = 0. Therefore, A and B are mutually exclusive.

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Answer:

??????????

Step-by-step explanation:

Answer:

need more clarification

Step-by-step explanation:

?????????????????????????????????????????????????????????????????????

The equation that represents the total number of miles, m, Victoria should expect to be able to drive if she uses g gallons of gasoline is m = (19g).

We can determine the proportionality constant by dividing the total number of miles driven (76) by the number of gallons of gasoline burned (4), which gives us 19 miles per gallon (76/4 = 19).

We can then use this proportionality constant to create the equation m = (19g), where m represents the total number of miles Victoria should expect to be able to drive if she uses g gallons of gasoline. This equation tells us that for every additional gallon of gasoline burned, Victoria should expect to be able to drive an additional 19 miles.

For example, if Victoria were to burn 6 gallons of gasoline, she should expect to be able to drive 114 miles (6 x 19 = 114). This equation assumes that Victoria's car has a constant fuel efficiency of 19 miles per gallon.

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Answer:

71.915

Step-by-step explanation:

3.785= how many liters that are in a gallon X 19= gallons of gas needed to fill the tank

The number of liters in 1 gallon is 3.78541 therefore,71.92 liters Paul needs to fill in his tank.

To convert any unit into another is called a unit conversion.

In order to convert units, we need to care about their dimensions their dimension should not be changed.

Given that,

The amount of fuel Paul's car holds = 19 gallons.

We know that,

1 gallon = 3.78541 liter

Multiply both sides by 19

19 gallon = 71.92 liter.

Hence "The number of liters in 1 gallon is 3.78541 therefore,71.92 liters Paul needs to fill in his tank".

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Answer:

x = -12

Step-by-step explanation:

6x - 36 = 9x

-36 = 3x

3x = -36

x = -12

Answer:

x = -12

Step-by-step explanation:

6(x-6) = x(16-7)           given

6x - 36 = 16x -7x        distributive multiplication

6x - 36 = 9x                simplify

-3x - 36 = 0                 subtract 9x to both sides of equality

-3x = 36                      add 36 to both sides of equality

x = -12                         divide by -3 to both sides of equality

a.)  Probability of drawing two queens in a row (a queen and a queen) without replacement  = 0.00452

b.) Probability of drawing two queens in a row (a queen and a queen) with replacement = 0.00592

c.) Chances of drawing two queens in a row better with replacement

Define Probability

Simply put, probability is the likelihood that something will occur.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.Statistics is the study of events that follow a probability distribution.

Given,

Total possible outcome = 52

There are 4 queens in a deck of 52 cards

a.)

Find, Probability of drawing two queens in a row (a queen and a queen) without replacement.

let, P stands for probability.

P (of drawing 1st queen) = 4 / 52

P(of drawing 2nd queen) = 3 / 51

P(drawing 2 queens in a row without replacement) =  4 / 52  *  3 / 51

                                                                                     = 0.000452

Hence, Probability of drawing two queens in a row (a queen and a queen) without replacement  = 0.00452

b.)

Find, Probability of drawing two queens in a row (a queen and a queen) with replacement

P (of drawing 1st queen) = 4 / 52

P(of drawing 2nd queen) = 4 / 52

P(drawing 2 queens in a row with replacement) = 4 / 52 * 4 / 52

                                                                               = 0.00592

Probability of drawing two queens in a row (a queen and a queen) with replacement = 0.00592

c.) Hence, the probability of with replacement is more so that's why

chances of drawing two queens in a row better with replacement

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Answer:

c) Oa^2 = c^2-b^2

Step-by-step explanation:

the formula of finding hypotenuse (c) is

c^2 = a^2 + b^2

that means c^2 - b^2 = a^2

a^2 = c^2 - b^2.

Answer:

21.

Step-by-step explanation:

Answer: O A.52 cubic yards

Step-by-step explanation: if u add 3+9+4+8+6+22= 52 cubic yards in the total volume of the figure :>

To calculate the surface aarea, we will use the formula;

T.S.A = 1/2 (pl) + B

where;

p= perimeter of the base

l= slant height

B= area of the base

From the diagram

l= 10 yard

P= 4(16) = 64 yard

B= 16 x 16= 256 yards

Substitute the value into the formula;

T.S.A = 1/2 (64)(10) + 256

=320 + 256

=576 inches²

Answer:

Watermelon A weighs 2 kg, watermelon B weighs 4 kg and watermelon C weighs 10 kg.

Step-by-step explanation:

Watermelon A is 2 kg lighter than watermelon B and 5 times lighter than watermelon C. This means that:

A = B - 2

and

A = C / 5 => C = 5A

Watermelons A and C together are 3 times heavier than watermelon B. This means that:

A + C = 3*B = 3B

Put C = 5A:

A + 5A = 3B

6A = 3B

=> B = 6/3 A = 2A

=> A = 2A - 2

=> 2A - A = 2

=> A = 2 kg

B = 2 * 2 = 4 kg

C = 5 * 2 = 10 kg

Therefore, watermelon A weighs 2 kg, watermelon B weighs 4 kg and watermelon C weighs 10 kg.

Answer:B

count 2 and ~1/4 back and you get b

Answer:

Parthava had 100 arrows.

Step-by-step explanation:

Let's define N as the number of arrows that Parthava originally has.

He uses one-half of them in defending himself, so he used N/2 arrows

Now he uses four times the square root of the number of arrows, so now he uses:

4*√N

Then he uses 6

Then he uses 3

Then he uses the last one.

If we add all these numbers of arrows that he used, we should get the initial number of arrows that he used, then:

N/2 + 4*√N  + 6 + 3 + 1  = N

Now we have an equation that we can try to solve.

First, let's move all the terms to the same side:

N/2 + 4*√N + 6 + 3 + 1 - N  = 0

now we can simpify it:

(N/2 - N) + 4*√N + (6 + 3 + 1) = 0

-(1/2)*N + 4*√N + 10 = 0

Now we can define a new variable x = √N

Then we have: x^2 = N

now we can replace these new variables in our equation to get:

-(1/2)*x^2 + 4*x + 10 = 0

Now we just have a quadratic equation.

Remember that for a quadratic equation of the form:

0 = a*x^2 + b*x + c

The solutions were given by:

\(x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2a}\)

Then in our case, the solutions will be:

\(x = \frac{-4 \pm \sqrt{4^2 - 4*(-1/2)*10} }{2*(-1/2)} = \frac{-4 \pm 6 }{-1} = 4 \pm 6\)

So there are two solutions:

x = 4 + 6 = 10

x = 4 - 6 = -2

And remember that x = √N

Then x should be positive, then we take x = 10 as our solution here.

then we can use the equation:

x = 10 = √N

then

10^2 = √N^2 = N

10^2 = 100 = N

Parthava had 100 arrows.