Find the value of X express your answer in simplest radical form.

Answer:

Step-by-step explanation:

the odds of choosing a ginger ale is 1/21

Answer:

This is my answer is

Force=mass × acceleration.

120=mass × 2.

120=2m.

mass=60kg

This question is not correctly written

Complete Question

A gaming console cost $299.99. Each game that comes with the console is an additional cost of $20.00. Mr. Yao decide to by x number of games Write a variable expression for cost of the number of games Mr. Yao bought

Answer:

Variable expression for the cost of the number of games that Mr Yao bought =

$20x

Where x = number of games that he bought.

Step-by-step explanation:

A variable expression can be defined as a mathematical expression where there is at least one (or more) unknown variable(s)that we have to look or solve for.

The unknown variable is always represented by letters of the alphabet, a, b, x, y e.t.c.

A variable expression can also be called an algebraic expression.

From the above question, we are told that:

Cost of a gaming console = $299.99

If you buy a game with the console = Additional $20.00

My Yao bought = x number of games

Variable expression for the cost of the x number of games that Mr Yao bought

$20 × x

= $20x

Where x = number of games that Mr Yao bought.

Answer:

a) P(1 and tails) = 1/10 = .1

b) P(even and heads) = 1/5 = .2

Step-by-step explanation:

The spinner has 5 outcomes: 1-5.

The coin has 2 outcomes: Heads or Tails.

We want to find the probability of P(1 ∩ T) and P(2,4 ∩ H).

Spinning the spinner and flipping the coin are independent events; therefore, getting one outcome has no effect on the outcome of another.

For independent events, the multiplication rule is:

If we use this formula for A, we get that:

The probability of getting a 1 on the spinner is P(1) = 1/5.

The probability of getting tails on the coin toss is P(tails) = 1/2.

We can now multiply these probabilities together:

The probability of getting a 1 on the spinner and tails on the coin toss is P(1 and tails) = 1/10 or .1.

There are two even numbers between 1 and 5: 2 and 4.

The probability of getting an even number on the spinner is 2/5.

The probability of getting heads on the coin toss is 1/2.

We can multiply these probabilities together:

The probability of getting an even number on the spinner and heads on the coin toss is P(even and heads) = 1/5 or .2.

Events A and B are considered independent if and only if the probability of their intersection (P(A ∩ B)) is equal to the product of their individual probabilities (P(A) * P(B)).

Independence: Two events A and B are independent if the occurrence or non-occurrence of one event does not affect the probability of the other event.

Joint Probability: The joint probability P(A ∩ B) represents the probability of both events A and B occurring together.

Multiplication Rule: According to the multiplication rule for independent events, if events A and B are independent, the probability of their intersection is equal to the product of their individual probabilities.

P(A ∩ B) = P(A) * P(B)

Interpretation: If the equation holds true, events A and B are considered independent since the probability of their intersection can be determined solely by multiplying their individual probabilities.

Dependence: If the equation does not hold true, it implies that the occurrence of one event affects the probability of the other event, indicating dependence between the two events.

In summary, the multiplication rule for independent events states that events A and B are independent if and only if P(A ∩ B) = P(A) * P(B).

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The 100%-Norm.Dist(value,mean,sd,true) percent of the population has an iq over 115

According to the statement

we have to find that the what percent of the population has an iq over 115.

And from given information,

the mean iq score is 100 and the standard deviation is 15.

And

Normal distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

And by use of this formula, we find the percentage of the population has an iq over 115.

Then the result will comes as 100%.

hence, 100%-Norm.Dist(value,mean,sd,true)

So, The 100%-Norm.Dist(value,mean,sd,true) percent of the population has an iq over 115.

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Answer

Step-by-step explanation:

a) sample space = {1, 2, 3, 4, 5, 6}. b) expected value of the random variable = 5/6. c) sample space and the random variable = {1-1, 1-2, 1-3, ..., 6-5, 6-6} and Y = S6, Y = -2  d) expected value of the random variable = 25/18 e) a risk-averse player may choose not to play.

(a) For k=1, the sample space consists of the possible outcomes of rolling one six-sided die, which are {1,2,3,4,5,6}. The random variable is the amount of money won or lost, denoted by X, where X = S6 if a 6 is rolled and X = -1 otherwise.

(b) The probability of rolling a 6 is 1/6, and the probability of rolling any other number is 5/6. Therefore, the expected value of X is:

E(X) = (1/6)*S6 + (5/6)*(-1) = S6/6 - 5/6

(c) For k=2, the sample space consists of the possible outcomes of rolling two six-sided dice, which are {1-1, 1-2, 1-3, ..., 6-5, 6-6}. The random variable is the sum of the amounts of money won or lost on each die, denoted by Y, where Y = 2*S6 if both dice show a 6, Y = S6 if one die shows a 6 and the other does not, and Y = -2 if neither die shows a 6.

(d) By linearity of expectation, we can express the expected value of Y as the sum of the expected values of the amounts won or lost on each die. The expected value of the amount won or lost on one die is the same as the expected value of X from part (b), which is S6/6 - 5/6. Therefore, the expected value of Y is:

E(Y) = 2*(1/36)*S6 + 10*(1/6)*(5/6)*S6 + 25*(5/6)*(5/6)*(-1)
    = S6/3 - 25/18

(e) Whether or not to play this game depends on the value of S6 and how risk-averse the player is. If S6 is large enough to make the expected value of the game positive, then it may be worth playing. However, since the expected value of X is negative for k=1, and the expected value of Y is still negative for k=2, a risk-averse player may choose not to play.

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The probability that the vehicle is a crossover 0.41.

What is probability?

Probability is the branch of mathematics concerned numerical descriptions of how probable an event is to occur, or how likely it is that a claim is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Given that, the probability

passenger car     pickup truck         suv       crossover    minivan

     0.28                       0.18              0.08             ?                 0.05

The total probability of an event is 1.

Thus total probability distribution of for the type of vehicle chosen is  1.

Assume that the probability to choose crossover car is x.

Therefore,

0.28 + 0.18 + 0.08 + x + 0.05 = 1

0.59 + x = 1

x = 1 - 0.59

x = 0.41

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Answer:

Here’s the answer! Best of luck.

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Substitute the variable, x, with 4

3(4) + 7 (4)

Multiply

3(4)= 12

7(4)= 28

12 + 28 = 40

The total area of the composite figure is 228 sq cm

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

The composite figure with 6 sides

The total area of the composite figure is the sum of the areas of the individual shapes

So, we have

Area = Area of Rectangle + Area of Rectangle

Using the above as a guide, we have the following equation

Area = 12 * 14 + (22 - 12) * 6

Evaluate the products

Area = 228

Hence, the total area of the figure is 228 sq cm

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Answer:

as below

Step-by-step explanation:

9/32=3/4 * y/x

becasue this is multiplication of fractions ,  its' not too tough to figure out 3 times what makes 9 and 4 times what makes 32

y=3

x=8

so the answer is 3/8 mile

The length of the northern side of a rectangular plot is 3/8 mile.

Here,

Area of rectangular lot = 9/32 square mile.

Length of the western side of lot = 3/4 mile.

We have to find the length of the northern side.

What is Area of rectangle?

The area of a rectangle is product of length and width.

Now,

Area of rectangular lot = 9/32 square mile.

Length of the western side of lot ( width ) = 3/4 mile.

Let the length of the northern side ( length ) = x mile

So,

Area of rectangle = length x width

\(\frac{9}{32} = x * \frac{3}{4} \\\\x = \frac{9}{32} *\frac{4}{3} \\\\x = \frac{3}{8}\)

Hence, The length of the northern side of a rectangular plot is 3/8 mile.

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The probability of ordering a caramel macchiato or a muffin is 82%.

Let us denote the Probability of ordering a caramel Macchiato as P(C), the Probability of ordering a muffin as P(M), the probability of ordering both a caramel macchiato and a muffin as P(C ∩ M), and the probability of ordering a caramel macchiato or a muffin P(C ∪  M).

It is given that:

P(C)=72%

P(M)=32%

P(C ∩ M)=22%

We need to find P(C ∪  M).

According to the Union Law of probability, the probability of the union of two events A and B is equal to the sum of their individual probabilities minus the probability of their intersection.

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

In this case:

P(C ∪ M)=P(C)+P(M)-P(C ∩ M)

Upon substituting the given values;

P(C ∪ M)=72%+32%-22%=82%

Hence, the probability of ordering a caramel macchiato or a muffin =

P(C ∪  M) is 82%.

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Answer:

c cuz its too ezand not that hard

Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Answer:

(2, 11)

Step-by-step explanation:

Using the information you were give, plug it into this formula:

(x₁ + x₂)/2, (y₁ + y₂)/2

This should give you a new coordinate.

Answer:

1. (2,5)

Step-by-step explanation:

x=2

y=3×2-1=5

i hope this is the right answer

Answer:

10

Step-by-step explanation:

First we figure out the area of the triangle!

8 x 6 = 48

48/2 = 24

Now we multiply to figure out the area of the rectangle :)

24 x 5 = 120

Now we divide 120 by 12 to figure out the width!!

120/12 = 10

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

10

Step-by-step explanation:

area of triangle = 1/2 x 8 x 6 = 24

area of rectangle = 5 x 24= 120

area of rectangle = length x width

120 = 12 x w

w = 10

Answer:

$3

Step-by-step explanation:

If we use proportional reasoning, 3x = 1.50

6x is double of 3x so it only makes sense we should double 1.50 therefore,

6x = 3.

The statement A confidence interval for proportions is used to estimate the population proportion not the sample proportion is true.

A confidence interval for proportions is a statistical tool used to estimate the range of values within which the population proportion is likely to lie. It is calculated based on the sample proportion, sample size, and a specified level of confidence.

The sample proportion is only used as a point estimate of the population proportion, but the confidence interval takes into account the variability of the sample proportion and provides a range of values that are likely to include the population proportion with a certain level of confidence.

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The simplified mοnοmial is \(-9x^9y^5\).

In algebra, a mοnοmial is an expressiοn that has a single term, with variables and a cοefficient. Fοr example, 2xy is a mοnοmial since it is a single term, has twο variables, and οne cοefficient. Mοnοmials are the building blοcks οf pοlynοmials and are called 'terms' when they are a part οf larger pοlynοmials. In οther wοrds, each term in a pοlynοmial is a mοnοmial.

Mοnοmial is defined as an expressiοn that has a single nοn-zerο term. It cοnsists οf different parts like the variable, the cοefficient, and its degree. The variables in a mοnοmial are the letters present in it. The cοefficients are the numbers that are multiplied by the variables οf the mοnοmial. The degree οf a mοnοmial is the sum οf the expοnents οf all the variables.

When we multiply mοnοmials with the same base, we add their expοnents. Using this prοperty, we can simplify the expressiοn as fοllοws:

\((-8x^4y^3)(2x^5y^2)+7x^9y^5\)

\(= (-8 * 2)(x^4 * x^5)(y^3 * y^2) + 7x^9y^5\)

\(= -16x^9y^5 + 7x^9y^5\)

\(= (7 - 16)x^9y^5\)

\(= -9x^9y^5\)

Therefοre, the simplified mοnοmial is \(-9x^9y^5\).

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22=4 square root 2

Step-by-step explanation:

Using Pythagorean Theory

The actual kitchen measures 18m in width.

• In mathematics, the unitary method is used to find the necessary value by first determining the value of a single unit and then multiplying the number by the single unit value.

• For example, if a car travels 60 kilometers on three litres of gasoline, we can calculate the number of kilometers traveled on one litre of gasoline using the unitary method.

We are given that Luther drew a scale drawing of an Italian restaurant. He used a scale on which 1 millimetre equals 6 meters. We need to find the width of the kitchen if in the drawing it is 3 mm wide.

So,

1mm = 6m

3 mm =?

3 mm = 6*3

3 mm = 18 m

The actual width of the kitchen is 18 m.

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Answer:

a. geometric sequence

b. an = 5(2)^n-1

c. an+1 = an x 2

Step-by-step explanation:

The sequence: 5, 10, 20, 40,...

a. The sequence is geometric because the sequence has a common ratio of 2, each number is made by multiplying the previous number with the common ratio (2).

b. The explicit formula for this sequence is an = 5(2)^n-1

The explicit formula for a geometric sequence is

an = a1 (r)^n-1

Substituting that with the values we know, we will get

an = 5(2)^n-1

c. The recursive formula for this sequence is an+1 = an x 2

The recursive formula for a geometric sequence is

an+1 = an x r

Substituting for the values we know, we get

an+1 = an x 2

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The fraction of time you would expect to reject the null hypothesis in a hypothesis test every so often at a 95% level even though you should not is 0.05 or 5%.

This is because at a 95% confidence level, the alpha level (probability of rejecting the null hypothesis when it is actually true) is 0.05. So, if you conduct hypothesis tests every so often at a 95% level, about 5% of the time, you would expect to reject the null hypothesis even though you should not. In hypothesis testing, the null hypothesis is usually tested against an alternative hypothesis.  

The level of significance, which is usually set at 0.05 or 0.01, is the probability of rejecting the null hypothesis when it is actually true. If the p-value is less than the level of significance, then the null hypothesis is rejected. In summary, at a 95% confidence level, the fraction of time you would expect to reject the null hypothesis in a hypothesis test every so often even though you should not is about 5%. This is because the alpha level, which is the probability of rejecting the null hypothesis when it is actually true, is set at 0.05.

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Answer:

it can be written as 0.44y=40

44% can be written as 0.44

Step-by-step explanation:

to solve for y divide both sides by 0.44

to get y is equal to 100

The expected probability that the next flip is a head given the results of the previous 25 coin flips is 0.6 or 60%.

The expected probability of a head coming up next given the results of the 25 coin flips is 15/25 = 0.6.

This is due to the fact that 15 of the 25 flips were heads, so the probability of the next head is 15 out of the 25 total flips which is equal to 0.6 or 60%.

However, since the probability of heads (m) is unknown, the expected probability of a head coming up next is still unknown.

Therefore, the expected probability that the next flip is a head given the results of the previous 25 coin flips is 0.6 or 60%.

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To find the values of x for which the company breaks even, we need to set the revenue function equal to the cost function and solve for x:

R(x) = C(x)

\(56x - 2x^2 = 32x + 54\)

By rearranging the equation, we get:

\(24x - 2x^2 - 32 = 0\)

Simplifying further, we have:

\(-x^2 + 12x - 17 = 0\)

The next step involves factoring the quadratic equation:

(x - 9)(x - 3) = 0

This step comes from finding two numbers that multiply to give -17 (the product of the coefficients of \(x^2\) and the constant term) and add up to 12 (the coefficient of x). The numbers are 9 and 3.

Now, to solve for x, we set each factor equal to zero:

x - 9 = 0   or   x - 3 = 0

Solving each equation, we find:

x = 9   or   x = 3

Therefore, the company will break even when x equals 9 or 3.

The next steps in the problem would involve answering parts b and c, which require analyzing profit levels and determining where a profit or a loss occurs.

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