HELPPP ASAPPP DUE SOONN

The probability of winning $3,899 is 0.0001, which is a very small probability, but still possible.

To write the probability distribution for a player's winnings in the Pick 4 game, we need to consider all the possible outcomes and their probabilities.

There are a total of 10,000 possible four-digit numbers that can be drawn in the game. Since the player has to match the numbers in the exact order, there is only one winning combination for each four-digit number. Therefore, the probability of winning is 1/10,000.

To calculate the player's winnings, we need to subtract the $1 cost of playing from the $3,900 prize. Thus, the player's net winnings can be calculated as follows:

Net Winnings = $3,900 - $1 = $3,899

The probability distribution for the player's winnings can be summarized in the following table:

| Winnings (x) | Probability (P) |
|--------------|-----------------|
| $0           | 0.9999          |
| $3,899       | 0.0001          |

Note that the table shows the possible winnings (x) in ascending order, as requested. The probability of winning $0 is 0.9999, which means that the player is most likely to lose their $1 bet.

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Answer:

the answer is -7

please mark this as brainliest

\(▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{solution}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ \)

let the missing number be x,

hence, the missing number is -7

Answer:

Discrete

Step-by-step explanation:

Discrete is the type of variable in which the number of auto accidents reported in a given month q

Discrete data is a count that uses integers and has a finite number of potential values. This sort of information can't be broken down into smaller chunks. Discrete data consists of finite, numeric, countable, and non-negative integers with discrete variables.

As we know that the number of auto accidents that can be reported in a month will be always a whole number, therefore, the number of accidents can be represented as 0, 1, 2,..., 1000, etc.

Thus, the type of variable is the number of auto accidents reported in a given month is Discrete.

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Here some examples of math by using Mr. Maxs life outside the classroom.

One example of math in Mr. Max's life outside the classroom could be calculating the amount of gas needed to fill up his car's tank before a road trip. This involves using basic arithmetic operations such as addition, subtraction, multiplication, and division to calculate the total distance he intends to travel, the fuel efficiency of his car, and the capacity of the fuel tank. By doing so, he can estimate the amount of gas needed for the trip and plan accordingly. Additionally, he may also use math to calculate the cost of the gas based on the current price per gallon or liter, and decide on the most cost-effective way to fill up his tank.

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complete question is:

What is one example of math in Mr. Max's life outside the classroom? 10. Is math everywhere, as Bobby believes? Support your answer with evidence.

Answer: To determine the marginal cost of the third taco for Jeremy, we need to compare the cost of buying it individually to the cost of buying it as part of the value meal.

Buying two tacos individually:

Buying the value meal with three tacos:

To calculate the marginal cost, we subtract the cost of buying the value meal from the cost of buying two tacos individually:

The negative value indicates that buying the value meal is more cost-effective than buying the third taco individually. Therefore, the marginal cost of the third taco for Jeremy would be $0 (option A).

The value of x is either 3 or -5 based on the distance formula.

What is a co-ordinate system?

In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.

Main body:

according to question

Given points A(-1,4) and B(x,7)

Also AB = 5 cm

Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)

here by using points ,

5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)

taking square on both side ,'

25 = \((x+1)^{2} +3^{2}\)

25-9 = (x+1)²

16 = (x+1)²

taking square root on both sides,

x+1= ±4

x = 4-1 = 3                                  or              x = -4-1 = -5

Hence value of x is either 3 or -5.

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Answer:

the correct answer is 7.50x

:)

The linear equation in slope intercept form for the given model of the data with slope 7.50 and y-intercept 0 is equal to y = 7.50x.

To model the data in the table with a linear equation in slope-intercept form, use the formula:

y = mx + b

where:

y represents the dependent variable (Wages Earned),

x represents the independent variable (Time Worked),

m is the slope of the line, and

b is the y-intercept (the value of y when x = 0).

To find the slope (m) and the y-intercept (b), we need to use the given data points (x, y).

Let's calculate the slope first:

Slope (m) = (change in y) / (change in x)

Take any two points from the table to calculate the slope. Let's use the first and last data points:

(x₁, y₁) = (1, 7.50)

(x₂, y₂) = (9, 67.50)

Slope (m) = (67.50 - 7.50) / (9 - 1)

Slope (m) = 60.00 / 8

Slope (m) = 7.50

Now, let's calculate the y-intercept (b) using any data point, use the first data point:

(x₁, y₁) = (1, 7.50)

Now, substitute the slope and one of the data points into the slope-intercept form equation to find the y-intercept (b):

y = mx + b

7.50 = 7.50(1) + b

7.50 = 7.50 + b

Subtract 7.50 from both sides to isolate b:

b = 7.50 - 7.50

b = 0

So, the y-intercept (b) is 0.

Now, the values for the slope (m) and y-intercept (b), and the linear equation in slope-intercept form is:

y = 7.50x + 0

However, since the y-intercept is 0, it doesn't affect the equation, so the final simplified linear equation in slope-intercept form is:

y = 7.50x

Interpretation:

The slope (7.50) represents the rate at which wages are earned per hour worked.

It tells us that for every additional hour worked, the wages earned increase by $7.50.

The y-intercept (0 in this case) represents the starting point of the wages when no time has been worked.

It means that when the employee has not worked any hours (x = 0), they have not earned any wages (y = 0).

However, since the y-intercept is 0, it doesn't contribute to the equation.

Therefore, the linear equation in slope intercept form is y = 7.50x.

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The negative correlation between IQ and age guarantees that all younger people have higher IQ's than older people.

The strength of the linear link between two separate variables, x and y, is shown by correlation coefficients. A positive association is shown by a linear correlation coefficient larger than zero. Indicating a negative association is a value less than zero. The two variables x and y do not have any relationship when their values are 0, to sum up.

A positive correlation indicates that both variables move in the same direction when the correlation value is higher than 0. When is 1, it denotes a complete positive association between the two variables under comparison; when one variable rises or falls, the other one rises or falls in the same direction and by the same amount.

When the correlation coefficient is less than 0, there is a negative (inverse) correlation. This suggests that both variables are moving in the obverse direction. In essence, any reading between 0 and -1 denotes an opposing movement of the two securities. The connection is said to as fully negatively correlated when is equal to -1.

Thus, the negative correlation between IQ and age guarantees that all younger people have higher IQ's than older people.

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To find the probability that a randomly selected worker has a retirement plan or health insurance, we need to add the probabilities of having a retirement plan and having health insurance and then subtract the probability of having both,

Since we don't want to count those workers twice. P(retirement plan or health insurance) = P(retirement plan) + P(health insurance) - P(both), P(retirement plan or health insurance) = 0.56 + 0.68 - 0.49, P(retirement plan or health insurance) = 0.75.

Therefore, the probability that a randomly selected worker has a retirement plan or health insurance is 0.75. we'll use the formula: P(A or B) = P(A) + P(B) - P(A and B), where A represents having a retirement plan, B represents having health insurance, and P(A and B) represents having both.

Given:
P(A) = 56% (retirement plan)
P(B) = 68% (health insurance)
P(A and B) = 49% (both)

Now we can plug these values into the formula: P(A or B) = 0.56 + 0.68 - 0.49 = 0.75, The probability that a randomly selected worker has a retirement plan or health insurance is 75%.

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The rate of interest for 2nd year is 4.1%

From the given parameters;

Rate of interest for 1st year = 2.5

As we know the formula for Simple interest is given by

                         => I = (PTR)/100

We will use this formula in the following problem

Let 100 be Feri's investment

At the Rate of interest of 2.5  

Interest on 100 = [(100(1)(2.5)]/100 = 2.5

Total amount at end of 1st year = 100 + 2.5 = 102.5

Let x be the rate of interest for 2nd year

At the rate of interest of x

interest on 100 = [(100(1)(x)]/100 = x

Total amount at end of 2st year = 102.5 + x  

Given that, at end of the 2 years, the rate of interest becomes 6.6%  

Interest on 100 at the rate of 6.6%  

=>  [(100(1)(6.6)]/100 = 6.6

=> total amount = 100 + 6.6 = 106.6

As we know in both cases, the amount must be equal

=> 102.5 + x  = 106.6  

=> x = 4.1

Therefore, The rate of interest for 2nd year = 4.1

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The predicted number of runs for the player with only 86 hits can be calculated using the equation Runs = Hits + Walks - Home Runs. Plugging in the values given, we get: Runs = 86 + Walks - Home Runs. Therefore, the predicted number of runs for the player is dependent on the number of walks and home runs they have.

To solve for the predicted number of runs, we can use the following steps:

Therefore, the predicted number of runs for the player with only 86 hits can be calculated by plugging in the values of the number of walks and home runs into the equation Runs = Hits + Walks - Home Runs.

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0.80 = (x + 8)(0.05) is the equation used to find x.

Given,

Darryl has a solution of bleach with the concentration of 10%.

10% bleach solution means in 100 ml solution amount of bleach is 10 gm

Here,

Darryl wants to change the concentration of this solution to 5%, means he wants to add water so that amount of liquid will change but amount of bleach in grams will remain the same.

Amount of bleach in 8 gallons of 10% solution of bleach will be = (Volume)×(concentration) = 8(.10) gm

Let Darryl adds x gallons of water in 10% solution of bleach to make it 5% solution of bleach.

Amount of bleach in 5% solution of bleach = (x + 8)(0.05) gm

Now in both the concentrations of bleach solution amount of bleach will remain same.

So, 0.8 = (x + 8)(0.05) will be the equation from which he can find the value of x.

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Let the breadth of the lawn be X

therefore, Length=2X

By condition,

=≥2(L+B)=128

=>4X + 2X = 128

=>6X=128

=>X=21.333

Length=42.666m

Breadth=21.333m

The answers are given below:-

a)  A ∪ B = {1,2,3,4,6}

b)  A ∩ B = {2}

c) Ac= {1, 3, 5}

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that a number cube with faces labelled 1 to 6 is rolled once. The number rolled will be recorded as the outcome.

A number cube with faces labelled 1 to 6.

Therefore the set of all possible outcomes is {1, 2, 3, 4, 5, 6}.

Event A

The number rolled is even.

Therefore, the set of outcomes for event A is {2, 4, 6}.

Event B

The number rolled is less than 4.

Therefore, the set of outcomes for event B is {1, 2, 3}.

Part (a)

Event "A or B" means the outcomes in A or B or both.

⇒ A ∪ B = {1,2,3,4,6}

Part (b)

Event "A and B" means the outcomes in both A and B.

⇒  A ∩ B = {2}

Part (c)

The complement of event B means everything that is not in B.

Ac = {1, 3, 5}

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The best prediction possible for the number of times a pink marble will be picked is 10 times by probability.

The probability of an event occurring is the fraction of the number of required outcome divided by the total number of possible outcomes.

The total possible outcome = 5

the event of selecting a pink marble = 2 {given that there are 2 pink marbles}

probability of randomly selecting a pink marble = 2/5

probability of randomly selecting a pink marble 25 times = 2/5 × 25

probability of randomly selecting a pink marble 25 times = 2 × 5

probability of randomly selecting a pink marble 25 times = 10.

In conclusion, the best prediction possible for the number of times a pink marble will be picked is 10 times by probability.

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Answer:

150°

Step-by-step explanation:

The trapezoid's area can be understood as triangle a + triangle b. So, we write these triangles as an expression, and, since we cannot solve with no values, we simplify to prove the area of the trapezoid.

A triangle's area is 1/2bh. In their case, b is represented as b or a depending on the triangle.

t = 1/2ah + 1/2bh

Now, since both expressions use the terms 1/2 and h, distributed onto a second variable, it can be rewritten as a single expression where both are distributed onto both variables at the same time. This is because both terms being multiplied by something separately is the same as combining both terms and multiplying them both at the same time.

t = 1/2(a)h + 1/2(b)h
t = 1/2(a + b)h

The temperature will be above 0°C between January and May.

What months will the temperature be above 0°C?

The temperature in degrees Celsius for any month (m) of a certain city is determined by the following formula:

T(m) = 4sin(π/6m) + 2.

To determine the months during which the temperature will be above 0°C,

we need to substitute 0 for T(m), then solve for m.

4sin(π/6m) + 2 = 0

Subtracting 2 from both sides of the equation, we get

4sin(π/6m) = -2

Dividing both sides of the equation by 4, we have:

sin(π/6m) = -1/2

To find the value of m that makes the sine of π/6

m equal to -1/2,

we need to evaluate the inverse sine function of -1/2.

This value will give us the smallest positive angle whose sine is -1/2.

The inverse sine of -1/2 is -π/6 or 5π/6.

Since we want the value of m,

we will divide each of these angles by π/6 to obtain the corresponding values of m.

-π/6 / π/6 = -1 and 5π/6 / π/6 = 5/2.

Thus, the smallest positive values of m that make the temperature above 0°C are m = 1 and m = 5/2.

These correspond to January and May, respectively.

Therefore, the temperature will be above 0°C between January and May.

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Answer:

10

Step-by-step explanation:

The principal, real, root of:

100−−−√2

=10

All roots:

10

−10

100 is a perfect square

Henry opens a savings account with an annual interest rate of 4.5 percent. After a year, he gets $75,000 in payment. He made a deposit into the savings account of $72,831.68.

Here are the steps on how to calculate the amount Henry invested:

Convert the annual interest rate to a monthly rate.

\(\begin{equation}4.5\% \div 12 = 0.375\%\end{equation}\)

Calculate the number of years.

\(\begin{equation}\frac{18 \text{ months}}{12 \text{ months/year}} = 1.5 \text{ years}\end{equation}\)

Use the compound interest formula to calculate the amount Henry invested.

\(\begin{equation}FV = PV * (1 + r)^t\end{equation}\)

where:

FV is the future value ($75,000)

PV is the present value (unknown)

r is the interest rate (0.375%)

t is the number of years (1.5 years)

\(\begin{equation}\$75,000 = PV \cdot (1 + 0.00375)^{1.5}\end{equation}\)

\$75,000 = PV * 1.0297

\(\begin{equation}PV = \frac{\$75,000}{1.0297}\end{equation}\)

PV = \$72,831.68

Therefore, Henry invested \$72,831.68 in the savings account.

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Answer:

1

Step-by-step explanation:

x - 6y

-2 - 6(-1/2)

-2 +3

1

Therefore, your answer would be 1

Answer: 96 miles

Step-by-step explanation:

One hour directly correlates to 60 minutes.  For this problem, simply find the "unit price" per mile, by dividing 16 by 10 to get 1.6.  Then, simply multiply 1.6 by 60 to get 96.

Hope it helps :) and let me know if you want me to elaborate.

The set of ordered pairs that does not represent a function is set {(9,1), (6,2), (3,3), (6,4)}. Therefore, the correct option is option 4.

A function is defined as a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. For a set of ordered pairs to represent a function, no two ordered pairs can have the same x-value with different y-values. In other words, in order for a set of ordered pairs to represent a function, each input (the first number in each pair) can only correspond to one output (the second number in each pair).

In option 4, we have two ordered pairs with the same x-value, (6,2) and (6,4), but with different y-values. This violates the definition of a function, so option 4 does not represent a function.

Hence, the set of ordered pairs which is not a function is option 4: {(9,1), (6,2), (3,3), (6,4)}.

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Answer:

DE ≈ 16.1, ∠E ≈ 60.3°, ∠D ≈ 29.7°

Step-by-step explanation:

use pythagorean theorem:

DE² = 8² + 14² => DE = √8² + 14² ≈ 16.1

use inverse tangent function:

∠E =  \(tan^{-1}\)(14/8) ≈ 60.3°

∠D =  \(tan^{-1}\)(8/14) ≈ 29.7°

Answers:

The "units" and "degrees" portions of the answers are likely to be left out.

===============================================

Explanation:

Since we have a right triangle, we can use the pythagorean theorem to find the hypotenuse DE

a^2+b^2 = c^2

c = sqrt(a^2+b^2)

c = sqrt(8^2+14^2)

c = 16.124515496597

c = 16.1 is the approximate length of side DE

----------------------------------

We'll use the tangent ratio to find angle E

tan(angle) = opposite/adjacent

tan(E) = FD/FE

tan(E) = 14/8

E = arctan(14/8)

E = 60.2551187030578

E = 60.3 degrees

The notation arctan is the same as inverse tangent. You should have a \(\tan^{-1}\) button on your calculator to help compute the inverse tangent.

-------------------------------------

We could use the tangent ratio to solve for angle D, by noting that

tan(D) = 8/14

or we could use the idea that D+E = 90 which solves to D = 90-E

D = 90-E

D = 90-60.3

D = 29.7 degrees

Note how arctan(8/14) = 29.74488 which rounds to 29.7

Answer:

24 inches

Step-by-step explanation:

30 divided 5

that equals 6

then times 6 with 4

you get 24 inches

The correct option is c. = /k, which rearranges the equation to isolate the average monthly sales.

To isolate the average monthly sales, we need to rearrange the given equation = .

Let's go through the options provided:

a. = −

This option does not isolate the average monthly sales. Instead, it isolates the end of year bonus. The correct rearrangement would require dividing both sides of the equation by k.

b. = −

Similar to option a, this option rearranges the equation to isolate the end of year bonus. It does not represent the isolation of the average monthly sales.

c. = /k

This option correctly rearranges the equation to isolate the average monthly sales. By multiplying both sides of the equation by k, we can isolate the term on the right-hand side and obtain the average monthly sales alone.

d. =

This option does not rearrange the equation at all. It leaves the equation as it is without isolating the average monthly sales.

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Answer:

it's a trapezium

it's two sides seems parallel

The true inferences from the double dot plot for this case from the available options is given by: Option D) The Interquartile range for Ander’s data is 0. 5 greater than the interquartile range for Marcus’s data

When we get data which can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.

Quartiles are then selected as 3 points such that they create four groups in the data, each groups approximately possessing 25% of the data.

Lower quartile, also called first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.

Similarly, second quartile (also called median) is approximately in mid of the data.

Third quartile (also called upper quartile)  has approx 75% in its left partition, and on its right lies approx 25% of the data.

Left to right is said in assumption that data was arranged increasingly from left to right

IQR(inter quartile range)  is the difference between third and first quartile.

Suppose we're measuring something whose values are numeric. For each value of that thing we observe, we plot a dot above that value in the number line. Thus, the total number of dots in the dot plot tells us the total number of observations of the values of that thing we did.

Thus, suppose if we observed the value 'x', then we will make a dot above 'x'. If there is already a dot over 'x', then we will make a new dot over that dot.

If instead of only observations, the table of unique observation and frequency is given, then we plot dots that many times as the count written in the frequency table. Thus, if its written that the value 2 has 3 has its frequency, then we plot 3 dots one over the other above the value 2 in the horizontal axis.

For this case, getting the quartiles of each dataset one by one.

The number of dots show frequencies, therefore, from the image attached below, the data we get for Anders is:

1,2,2,3,3,5,5,5,5,5,5,6,6,6,6,7,7,7,7,7

These are total 20 observations.

Mean is the ratio of sum of all observations to the number of observations.

Sum of these values is 100, and therefore, we get:

Mean = 100/20 = 5

50% of 20 is 10 (its half). And 25% is 5, and 75% is 15.

Now, any number between the 10th and 11th value will be median because before and after that will lie ten-ten observations.

We usually take mean of these two values in such case.

The 10th value is 5, and so as the 11th value.

Thus, median of this data set is 5

Similarly, the first quartile can be taken as the average of 5th and 6th value as in mid of both lie values before which lies 25% of the data and after which lies 75% of the data.

The 5th and 6th values are 3 and 5. Their average is (3+5)/2=4

Thus, the first quartile of this data set is 4

Similarly, third quartile can be taken as average of 15th and 16th value = (6+7)/2 = 6.5

Now, the interquartile range of this dataset = third - first quartile = 6.5 - 4 = 2.5

2,3,5,6,6,6,7,7,7,7,7,7,8,8,8,8,8,9,10,10

These are total 20 observations.

Mean is the ratio of sum of all observations to the number of observations.

Sum of these values is 139, and therefore, we get:

Mean = 139/20 = 6.95 (approx 7)

Also, we get:

Median can be average of 10th and 11th value = (7+7)/2 = 7

First quartile can be average of 5th and 6th value = (6+6)/2 = 6

Third quartile can be average of 15th and 16th value = (8+8)/2 = 8

Thus, IQR = third - first quartile = 8-6 = 2

So we see that option A and B are wrong as IQR and median both are different for both the datasets.

Option C is wrong since for Ander's data, we see that both mean and median (which are central measures) evaluates to 5, so Ander's data centers around 5 instead of 6.

Option D is correct as IQR for Ander's data = 2.5 is 0.5 greater than 2 which is IQR for Marcus' data.

Thus, the true inferences from the double dot plot for this case from the available options is given by: Option D) The Interquartile range for Ander’s data is 0. 5 greater than the interquartile range for Marcus’s data.

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If the null hypothesis was true, the probability or percentage of obtaining the sample evidence that one has is typically referred to as the p-value.

The p-value is a statistical measure that quantifies the strength of evidence against the null hypothesis based on the observed data. To understand the concept of the p-value, let's consider a hypothesis testing scenario. In hypothesis testing, we start with a null hypothesis (H₀) that represents the default assumption or belief. The alternative hypothesis (H₁) contradicts or challenges the null hypothesis. The goal is to assess the evidence in favor of or against the null hypothesis using sample data.

The p-value is calculated by determining the probability of obtaining a test statistic as extreme as or more extreme than the one observed, assuming the null hypothesis is true. If the p-value is small (below a predetermined significance level, often denoted as α), it suggests that the observed data is unlikely to occur by chance if the null hypothesis is true. In this case, we reject the null hypothesis in favor of the alternative hypothesis.

However, if the p-value is large (greater than or equal to α), it suggests that the observed data is reasonably likely to occur by chance even if the null hypothesis is true. In this case, we fail to reject the null hypothesis and do not find strong evidence against it. It's important to note that the p-value does not directly measure the probability that the null hypothesis is true or false. Instead, it quantifies the probability of obtaining the observed data or more extreme data if the null hypothesis is true.

In summary, if the null hypothesis is true, the p-value represents the probability of obtaining the sample evidence or more extreme evidence that one has. A small p-value indicates strong evidence against the null hypothesis, while a large p-value suggests that the observed data is reasonably likely to occur by chance even if the null hypothesis is true.

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