Your soccer team needs to add a new player midseason. which of these people would most likely demonstrate good sportsmanship based on the information provided? (1 point)

The probability that gas is not used for cooking at a household can be determined by considering the probabilities of shopping at Prime Foods and using gas for cooking.

Let's denote the event of using gas for cooking as G and the event of shopping at Prime Foods as P. We are given that the probability of G is 0.18, and the conditional probabilities are as follows: P(G) = 0.7 and P(~G) = 0.35.

To find the probability of gas not being used for cooking, we need to calculate P(~G|~P), which represents the probability of not using gas for cooking given that a person does not shop at Prime Foods.

Using conditional probability, we have P(~G|~P) = P(~G∩~P) / P(~P). Here, P(~G∩~P) represents the probability of both not using gas for cooking and not shopping at Prime Foods, and P(~P) represents the probability of not shopping at Prime Foods.

Since P(~G∩~P) + P(G∩~P) = P(~P), we can rewrite the equation as P(~G|~P) = [P(~G∩~P) + P(G∩~P)] / P(~P).

We are given P(G∩~P) = P(G) * P(~P|G) = 0.18 * (1 - 0.7) = 0.054.

Therefore, P(~G|~P) = [P(~G∩~P) + P(G∩~P)] / P(~P) = (0.054 + 0) / (1 - 0.35) = 0.054 / 0.65 ≈ 0.083.

So, the probability that gas is not used for cooking at the household, given that a person does not shop at Prime Foods, is approximately 0.083, which is option (a).

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SOLUTION

The given equation is:

To graph the equation, calculate a few values of y

When x=3, it follows:

It follows that the point (0,4) is on the graph.

Following the same procdure few other possible points are:

The graph of the function is shown below:

Option B is correct, the value of x in the triangle is 13.

The given triangle is a right angle triangle

We have to find the value of x which is hypotenuse length in the triangle

By pythagoras theorem we find the value of x in triangle

12²+5²=x²

144+25=x²

169=x²

Take square root on both sides

x=13

Hence, option B is correct, the value of x in the triangle is 13.

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If A and B are independent events, it means that the occurrence of one event does not affect the probability of the occurrence of the other event. In other words, the probability of event A happening is the same whether or not event B happens and vice versa.

To illustrate this, let's consider an example. Say we have two events: flipping a coin and rolling a dice. The probability of getting heads on the coin is 1/2 and the probability of rolling a 3 on the dice is 1/6.

These events are independent because the outcome of one event does not affect the outcome of the other event. So, the probability of getting heads on the coin AND rolling a 3 on the dice is (1/2) x (1/6) = 1/12.

Another way to check if two events are independent is to use the formula P(A and B) = P(A) x P(B). If the result of this equation is true, then the events are independent. If not, they are dependent.

Overall, understanding the concept of independent events is important in probability theory because it helps us calculate the probability of multiple events happening simultaneously.

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You can use either a numerical (integer or floating-point) variable or a Boolean variable to store the value of a logical expression.

Numerical Variable: You can use a numerical variable, such as an integer or floating-point variable, to store the result of a logical expression. In this case, the logical expression would be evaluated and assigned a numerical value, typically 0 or 1, representing false or true, respectively. For example, if you have a logical expression "x > 5", you can assign the result to a numerical variable like "result = (x > 5)", where the value of "result" would be 0 if the expression is false and 1 if it is true.

Boolean Variable: Alternatively, you can use a Boolean variable to directly store the truth value of a logical expression. A Boolean variable can only have two possible values: true or false. In this case, the logical expression would be evaluated and directly assigned to the Boolean variable. For example, if you have a logical expression "x > 5", you can assign the result to a Boolean variable like "isGreaterThanFive = (x > 5)", where "isGreaterThanFive" would be true if the expression is true and false if it is false.

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Burger Quick, because it has a larger median.

Burger Quick typically has more wait time because it has a larger range (30-2=28) compared to Super Fast Food (27-3=24) and also has a larger interquartile range (IQR) (24-9.5=14.5) compared to Super Fast Food (15.5-8.5=7), indicating more variability in the wait times. The fact that Burger Quick's median (15.5) is larger than Super Fast Food's median (12) reinforces this conclusion.

Therefore, the correct answer is: Burger Quick, because it has a larger median.

Answer 2: The appropriate measure of center for this data is the median, which is represented by the line in the box at 19. This is because the data is skewed, with a longer tail to the right, and the median is less sensitive to extreme values compared to the mean. Therefore, the correct answer is: The median is the best measure of center, and it equals 19.

Answer 3: The measure of variability that the charity should use to accurately represent the data is the IQR (Interquartile Range), which is the range of the middle 50% of the data. The reason for this is that the data is skewed to the right, with many values concentrated in the upper range of the data, and the IQR is less sensitive to outliers compared to the range.

The IQR for this data is 20-10=10, which represents the spread of the middle 50% of the data. Therefore, the correct answer is: The IQR of 20 is the most accurate to use, since the data is skewed.

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since 25 is less than 11.2, we must start putting a 0 and a comma in order to move the decimal place, like this:

then, we continue the division as usual, 112 divided by 25, 25 times 4 is equal to 100 and leaves a remainder of 12,

then, 12 is less than 25 so we put a 0 at the end and repeat the procedure on the last step,

complete the division with another 0 at the end and repeat, 25 times 8 is equal to 200 and leaves a remainder of zero.

ANSWER:

The result of the division is 0.448

Answer: 160

Step-by-step explanation:

first workout the multiplication sums [22 x 28 = 616]

[18 x 28 = 505] then add 2 numbers together [616 + 505 = 1120]

then divide the answer by 2 [1160 / 2 = 160

Given:

The faces on a number cube are labeled 1,2,2,3,4, and 5.

The number cube is rolled 114 times.

To find:

How many times would you expect the number 2 to appear?

Solution:

We have,

Total outcomes = 1,2,2,3,4, and 5.

Number of total outcomes = 6

Favorable outcomes = 2 and 2

Number of favorable outcomes = 2

The probability of getting 2 is:

\(P(2)=\dfrac{\text{Number of favorable outcomes}}{\text{Number of total outcomes}}\)

\(P(2)=\dfrac{2}{6}\)

\(P(2)=\dfrac{1}{3}\)

Now, the expected number of times when 2 to appear is:

\(E(x)=114\times P(2)\)

\(E(x)=114\times \dfrac{1}{3}\)

\(E(x)=38\)

Therefore, the expected number of times is 38.

There are 96 different possible combos.

The principle used to calculate the number of possible combos is called the multiplication principle.

We have,

(a)

The number of possible combos, when you select a popcorn, a candy, and a soda.

= 8 (choices of candy) x 6 (choices of soda) x 2 (choices of popcorn)

= 96

(b)

The principle used to calculate the number of possible combos is called the multiplication principle.

Thus,

There are 96 different possible combos.

The principle used to calculate the number of possible combos is called the multiplication principle.

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Applying the arithmetic sequence formula, the perimeter of the triangle is: 123 cm.

An arithmetic sequence formula is given as, T(n) = a + (n - 1)d, where a is the first term; n is the nth number of terms; d is the common difference.

Applying the arithmetic sequence formula to this problem, we have the following:

n = 121

a = 3

d = 1

Substitute

T(121) = 3 + (121 - 1)1

T(121) = 3 + (120)1

T(121) = 3 + 120

T(121) = 123

Therefore, applying the arithmetic sequence formula, the perimeter of the triangle is: 123 cm.

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Answer:

2x+6

Step-by-step explanation:

To simplify an expression such as this you must add like terms. Like terms are terms that have the same variable and power. In this expression 4x, x, -3x are like terms and -2 and 8 are also like terms. To add like terms simply add the coefficients and remember adding a negative is the same as subtracting. So, add the previously listed terms 4x + x + (-3x) = 2x, then -2+8= 6. This means the simplified expression is 2x+6.

The scale is of 8,292 ft. 1 ft in the scale is equal to 8292 ft of the actual.

Given, a scale model of the Shanghai Tower is 3 inches tall.

The actual tower is 2,073 feet tall.

We have to find the scale.

Now, as 1 ft = 12 inch

1 inch = 1/12 ft

3 inches = 3/12 ft

3 inches = 1/4 ft

So, 1/4 ft of scale = 2,073 ft of actual

1 ft of scale = 8,292 ft of actual

So, 1 ft in the scale is equal to 8,292 ft of the actual.

Hence, 1 ft in the scale is equal to 8,292 ft of the actual.

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Answer:

Step-by-step explanation:

Given points

Midpoint is

Answer:

24496

Step-by-step explanation:

40912 * (1-5%) ^10 = 24495.5

becuase they are humans, so round up to 24496

Given:

Consider the sides of the rectangle are (x+7) and (x+5) units.

To find:

The area of the entire rectangle in standard form.

Solution:

The area of the rectangle is:

\(A=l\times w\)

Where, l is length and w is width of the rectangle.

So, the area of the given rectangle is:

\(A=(x+7)\times (x+5)\)

\(A=(x)(x)+(x)(5)+(7)(x)+(7)(5)\)

\(A=x^2+5x+7x+35\)

\(A=x^2+12x+35\)

Therefore, the area of the rectangle is \(A=x^2+12x+35\).

The probability of Daria and Blake being chosen together is 1/15. So correct option is A.

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain. Probabilities can be expressed as fractions, decimals, or percentages.

The concept of probability is used in a wide range of fields, including mathematics, statistics, science, engineering, finance, and economics. It is used to make predictions and decisions based on uncertain outcomes.

The probability of an event can be calculated by dividing the number of ways the event can occur by the total number of possible outcomes. This is known as the classical definition of probability. Other methods of calculating probability include empirical probability, which is based on observations or experiments, and subjective probability, which is based on personal judgment or opinion.

The total number of ways to choose 2 guards from 6 volunteers is given by the combination formula:

C(6,2) = 6! / (2! * 4!) = 15

Out of these 15 possible combinations, there is only one way to choose Daria and Blake together. Therefore, the probability of Daria and Blake being chosen together is:

1/15

So, the answer is (A) 1/15.

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Answer:

P(X, Y) = [(x1 sin 2A + x2 sin 2B + x3 sin 2C)/ (sin 2A + sin 2B + sin 2C), (y1 sin 2A + y2 sin 2B + y3 sin 2C)/ (sin 2A + sin 2B + sin 2C)]

Step-by-step explanation:

How to Construct Circumcenter of a Triangle?

The circumcenter of any triangle can be constructed by drawing the perpendicular bisector of any of the two sides of that triangle. The steps to construct the circumcenter are:

Step 1: Draw the perpendicular bisector of any two sides of the given triangle.

Step 2: Using a ruler, extend the perpendicular bisectors until they intersect each other.

Step 3: Mark the intersecting point as P which will be the circumcenter of the triangle. It should be noted that, even the bisector of the third side will also intersect at P.

Answer:

g(x) = 1/2x² is the correction option.

Hence, option B is true.

Step-by-step explanation:

Please check the attached graph.

It means when we multiply the parent function by a number 'b' which is less than 1, then the parent function f(x) = x² is vertically compressed by b.

Here, the graph is vertically compressed by 1/2, therefore we conclude that g(x) = 1/2x² is the result of vertical compression of the parent function by 1/2.

Therefore, g(x) = 1/2x² is the correction option.

Hence, option B is true.

The integral of \(x^{9}\)sinxdx is 1.

To evaluate the integral ∫(0 to 1) \(x^{9}\)sin(x) dx using the reduction formula, we can proceed as follows:

Let's denote the integral as I(n), where n represents the power of x in the integrand. In this case, n = 9.

I(n) = ∫(0 to 1) \(x^{n}\) sin(x) dx

Now, we apply integration by parts, using the reduction formula:

∫(0 to 1) \(x^{n}\) sin(x) dx = -\(x^{n}\) cos(x) |(0 to 1) + n ∫(0 to 1) \(x^{n-1}\) cos(x) dx

To evaluate the first term, we substitute the limits of integration:

[\(-1^{n}\) cos(1) - (-\(0^{n}\) cos(0))] + n ∫(0 to 1) \(x^{n-1}\) cos(x) dx

Simplifying the expression:

\((-1)^{n}\) cos(1) - \((-1)^{0}\) cos(0) + n ∫(0 to 1) \(x^{n-1}\) cos(x) dx

Since cos(0) = 1, we can further simplify:

\((-1)^{n}\) cos(1) + 1 + n ∫(0 to 1) \(x^{n-1}\) cos(x) dx

Now, we can see that the new integral has the power of x reduced by 1 compared to the original integral. We can apply the reduction formula again:

I(n) = \((-1)^{n}\) cos(1) + 1 + n * [\((-1)^{n-1}\) cos(1) + (n-1) ∫(0 to 1) \(x^{n-2}\) cos(x) dx]

Simplifying further:

I(n) = \((-1)^{n}\) cos(1) + 1 + n*\((-1)^{n-1}\) cos(1) + n*(n-1) ∫(0 to 1) \(x^{n-2}\) cos(x) dx

We continue this process of reducing the power of x until we reach a base case. In this case, the base case occurs when n = 1:

I(1) = \((-1)^{1}\) cos(1) + 1 + 1*\((-1)^{1-1}\) cos(1) = cos(1) + 1 - cos(1) = 1

Therefore, the value of the integral ∫(0 to 1) \(x^{9}\)sin(x) dx using the reduction formula is 1.

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The computation shows that the placw on the hill where the cannonball land is 3.75m.

To find where on the hill the cannonball lands

So 0.15x = 2 + 0.12x - 0.002x²

Taking the LHS expression to the right and rearranging we have:

-0.002x² + 0.12x -.0.15x + 2 = 0.

So we have -0.002x²- 0.03x + 2 = 0  

I'll multiply through by -1 so we have

0.002x² + 0.03x -2 = 0.

This is a quadratic equation with two solutions x1 = 25 and x2 = -40 since x cannot be negative x = 25.

The second solution y = 0.15 * 25 = 3.75

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Complete question:

The flight of a cannonball toward a hill is described by the parabola y = 2 + 0.12x - 0.002x 2 . the hill slopes upward along a path given by y = 0.15x. where on the hill does the cannonball land?

Answer:

16.2

Step-by-step explanation:

90*18%

90*0.18

16.2

The equilibrium of this game is {s1 = 1/2, s2 = 1/4} and Player 2 plays A if sA2 = 3/4 and plays B if sB2 = 1/2.

Consider the following two-player game. Si = [0, 1], for i = 1, 2. Player 2 is equally likely to be type A or type B, and the realization of her type is private information to her.

Payoffs are as follows:

u1(s1,s2)=1−[s1 −(1/2)s2]^4

uA2(s1,sA2)=100−[sA2 −s1−1/4]^2

uB2 (s1,sB2 )=100−[sB2 −s1]^2.

To find a Bayes-Nash equilibrium of this game, we need to solve this problem by backwards induction.

The equilibrium of this game is {s1 = 1/2, s2 = 1/4} and Player 2 plays A if sA2 = 3/4 and plays B if Subs = 1/2.

A Bayes-Nash equilibrium is a pair of strategies, one for each player, such that each player's strategy is optimal given the other player's strategy and her private information about the game.

This is a refinement of the Nash equilibrium that takes into account the players' information about the game.

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Answer:

64

Step-by-step explanation:

You need to do 4*4*4 to get your answer.

Hope this helps.

Answer:

64

Step-by-step explanation:

Because 4×4 is 16 and 16 ×4 is 64

The function c(t) represents the cost of a single ticket based on the number of tickets purchased. It consists of a base cost (constant term) and an additional cost per ticket (coefficient of t). By plugging in different values for t, you can determine the cost for different group sizes.

The cost of a single ticket, represented by the function c(t), depends on the number of tickets, t, purchased in a group. To understand this better, let's break it down step-by-step:

1. The function c(t) represents the cost of a single ticket. It tells us how the cost varies depending on the number of tickets purchased in a group.

2. Let's consider an example to illustrate this concept. Suppose the function c(t) is given by the equation c(t) = 10 + 5t. Here, t represents the number of tickets purchased.

3. In this example, the constant term 10 represents the base cost of a ticket. It is the cost you would incur even if you purchase no tickets (t = 0).

4. The coefficient of t, which is 5 in this case, represents the additional cost for each ticket purchased. For every additional ticket, the cost increases by 5 units.

5. For instance, if you purchase 1 ticket (t = 1), the cost would be c(1) = 10 + 5(1) = 15. If you purchase 2 tickets (t = 2), the cost would be c(2) = 10 + 5(2) = 20. And so on.

6. By plugging in different values for t into the function c(t), you can calculate the cost for different numbers of tickets.

To summarize, the function c(t) represents the cost of a single ticket based on the number of tickets purchased. It consists of a base cost (constant term) and an additional cost per ticket (coefficient of t). By plugging in different values for t, you can determine the cost for different group sizes.

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The measure of side QR = 5cm

A triangle is a polygon with three edges and vertices, and with vertices A, B, and C is denoted △ABC.

A triangle has three sides, three angles, and three vertices.

The sum of all internal angles of a triangle is always equal to 180°.

The sum of the length of any two sides of a triangle is greater than the length of the third side.

The given information is:

As triangles ABC and QRS are similar ;

So, AC is similar to QS

AC=60cm and QS=6cm, which means if we divide the length of AC by 10 we get the measure of length QS

AC=60/10

AC= 6cm

And, AB is similar to QR and AB=50cm, if we divide this by 10 we get the measure of QR

QR=50/10

QR=5 cm

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The coordinates of S' is (-10, 6).

We have,

Dilation is a transformation in which the size of a figure is changed without altering its shape.

In the coordinate plane, a dilation changes the size of a figure by multiplying the distance between each point and the center of dilation by a scale factor.

The center of dilation is a fixed point in the plane about which the figure is dilated. If the scale factor is greater than 1, the figure is enlarged, and if it is less than 1, the figure is reduced. If the scale factor is negative, the figure is also reflected across the center of dilation.

From the figure,

S = (-5, 3)

Now,

Dilated with a scale factor of 2.

This means,

S' = (-5 x 2, 3 x 2) = (-10, 6)

Thus,

The coordinates of S' is (-10, 6).

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Answer:

- 131/24

Step-by-step explanation:

Answer:

−13.875

Step-by-step explanation: