Use the following information to answer the next three exercises. The casino game, roulette, allows the gambler to bet on the probability of a ball, which spins in the roulette wheel, landing on a particular color, number, or range of numbers. The table used to place bets contains of 38 numbers, and each number is assigned to a color and a range. Picture cannot copy a. List the sample space of the 38 possible outcomes in roulette. b. You bet on red. Find P(red). c. You bet on -1st 12- (1st Dozen). Find P(-1st 12-). d. You bet on an even number. Find P(even number). e. Is getting an odd number the complement of getting an even number? Why? f. Find two mutually exclusive events. g. Are the events Even and 1st Dozen independent?

Answer:

$7.99

Step-by-step explanation:

6.5% of 7.5 = 0.4875

7.5 + 0.4875 = 7.9875 or about 7.99

The sampling distribution of the sample mean with n=18 and n=46 is normally distributed.

A random sample is drawn from a population with mean μ=73 and standard deviation σ=6.1. To determine if the sampling distribution of the sample mean with n=18 and n=46 is normally distributed, we need to calculate the standard error for each sample size.

For n=18:
The standard error (SE) is calculated using the formula:

     SE = σ / √n
SE = 6.1 / √18

          ≈ 1.441 (rounded to 3 decimal places)

For n=46:
SE = 6.1 / √46 ≈ 0.901 (rounded to 3 decimal places)

To determine if the sampling distribution of the sample mean is normally distributed, we need to consider the Central Limit Theorem (CLT). According to the CLT, when the sample size is sufficiently large (typically n > 30), the sampling distribution of the sample mean tends to be approximately normally distributed, regardless of the shape of the population distribution.

Since both n=18 and n=46 are larger than 30, we can conclude that the sampling distribution of the sample mean with these sample sizes is approximately normally distributed.

Therefore, the sampling distribution of the sample mean with n=18 and n=46 is normally distributed.

The sampling distribution of the sample mean with n=18 and n=46 is normally distributed.

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Answer:

0.073*10 to the power of -4 is 3.52134486076

Step-by-step explanation:

0.073*10 is 0.73

0.73 to the power of -4 is 3.52134486076

i hoped this helped :)

Answer:

52.083

Step-by-step explanation:

1 min = 4.8 calories

? min=250calories

at the age speed

250/4.8 calories

=52.083min

 We found the PMF f(x),  calculated the probability of selecting exactly one defective unit, and  determined the probability of selecting more than one defective unit.

To find the probability mass function (PMF) f(x) for the number of defective units, we need to determine the probability of each possible outcome.

Let's assume that the total number of units tested is n. Since it is mentioned that 2% of the units are defective, the probability of selecting a defective unit is 0.02.

The PMF f(x) can be calculated using the binomial distribution formula:
\(f(x) = C(n, x) * (0.02)^x * (0.98)^(n-x)\)

To find p(x=1), we substitute x=1 into the PMF formula:
\(f(1) = C(n, 1) * (0.02)^1 * (0.98)^(n-1)\)

This represents the probability of selecting exactly one defective unit when testing a batch of pedometers.

Similarly, to find p(x>1), we need to sum up the probabilities for x=2, x=3, and so on, up to x=n:
\(p(x>1) = f(2) + f(3) + ... + f(n)\)
This represents the probability of selecting more than one defective unit when testing a batch of pedometers.

To sketch the histogram, we can plot the values of x on the x-axis and the corresponding probabilities f(x) on the y-axis. Each bar's height represents the probability of selecting that many defective units.

In conclusion, we found the PMF f(x), calculated the probability of selecting exactly one defective unit, and  determined the probability of selecting more than one defective unit.

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The conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1. The FAR Part 77 imaginary surface that has slopes that may range from 20:1 to 50:1 is the conical surface.

The conical surface is a three-dimensional surface defined by a combination of horizontal and inclined planes. It extends upward and outward from the end of the primary surface and has varying slope requirements. The slope of the conical surface represents the ratio of the change in elevation to the horizontal distance. A slope of 20:1 indicates that for every 20 units of horizontal distance, there is a 1-unit increase in elevation.

Similarly, a slope of 50:1 means that for every 50 units of horizontal distance, there is a 1-unit increase in elevation. Therefore, the conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1.

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Step-by-step explanation:

Second option is the answer

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

m∠8 = 30°

Step-by-step explanation:

Since line AB is parallel to line CD, and m∠4 = 30°, therefore:

m∠4 and m∠8 are corresponding angles.corewslinding angles are congruent.

Therefore, this means that their measure would be equal to each other, since they are congruent.

Thus:

m∠8 = 30°

Answer: 30°

Step-by-step explanation:

The equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100. Option C is correct.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Amount of ammonia in the solution 16%  x 22 gallons  =  3.52 gallons

The proportion of ammonia remains the same as the water evaporates, but the total composition of the solution is decreased by the amount of water that evaporates.

Quantity of ammonia = 3.52 gallons

Quantity of water after evaporation = 22 - n

Composition of ammonia after evaporation of water, 24% = 24/100

Now the percentage of ammonia after evaporates
Quantity of ammonia / Remaining water = 24%
3.52 / (22 - n) = 24 / 100

Thus, the equation that he used to find n, the number of gallons of water he should remove is 3.52 / (22 - n) = 24 / 100.

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Functions y=x and y=x-3 are related in a way that each output for y=x–3 is 3  units more than the corresponding output for y=x.

Their graphs are related in a way that the graph of y=x–3 is the graph of y=x translated down 3 units

A function will defines one variable in terms of the other. Functions y=x means that y will vary directly to whatever value x takes.

When the graph of function y=x is drawn, then it is a straight line through the origin.

Now, functions y=x and y=x-3 are closely related. The graphs of the two are almost the same, the only difference is that every point on  function y=x has been lowered by 3 to be function y=x-3.

Hence, the output for y=x-3 is 3 units more than the output of y=x, and the graph of function y=x is translated down by 3 units to get function y=x-3

The graphs for functions y=x and y=x-3 are shown below:

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Answer : The answer is 15/11 but you can simply this fraction which makes it to a decimal which would be 1.36 ( 36 is repeating )

Answer:

17.85

Step-by-step explanation:

it would be $5.95 per tree times that by 5 you get $17.85

Answer:

V = 1385.44

Step-by-step explanation:

The equation for volume is V = π r 2 h! Where V = volume, r = radius (half the diameter), and h = height. Now lets substitute what we know into this equation!

Since we are giving the diameter (14) we must divide by 2 to find the radius.

                         14 ÷ 2 = 7

Radius = 7

Height = 9

V = ?

Time to plug these values in!

V = π \(7^{2}\) (9)

We have to distribute pi to 7 square that term and then multiply the value by 9.

V = 1385.44

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

In Japanese criminal trials, approximately 95% of the defendants are found guilty, while in the United States, about 60% of defendants are found guilty, according to "The Book of Risks" by Larry Laudan.

The statistics provided indicate a stark contrast in conviction rates between Japanese and American criminal trials. In Japan, the overwhelming majority of defendants, around 95%, are found guilty. This suggests a high degree of confidence in the prosecution's ability to prove guilt. On the other hand, in the United States, about 60% of defendants are found guilty, implying a comparatively lower conviction rate. This discrepancy could be due to several factors, such as differences in legal systems, standards of proof, evidence presentation, and judicial practices. It is essential to note that these statistics provide a general overview and may vary depending on specific circumstances and cases within each country's legal system.

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Answer:

6=28 1=125

Step-by-step explanation:

65+59=124 180-124=56/2 equals 28 and if the question is correctly written

then both sides that you don't yet know should be 28

The answer for one if I'm correct is 125 since you add 204+31=235 then you do 360-235=125

If I'm wrong at all I'm sorry but with that how are you in math honors when I'm just in algebra 1 T_T

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

r/1000-(7)=0

Step by step solution :

STEP1:

r

Simplify ————

1000

Equation at the end of step1

r

———— - 7 = 0

1000

STEP 2

Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 1000 as the denominator :

7 7 • 1000

7 = — = ————————

1 1000

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

r - (7 • 1000) r - 7000

—————————————— = ————————

1000 1000

Equation at the end of step 2

r - 7000

———————— = 0

1000

STEP 3

When a fraction equals zero :

3.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

r-7000

—————— • 1000 = 0 • 1000

1000

Now, on the left hand side, the 1000 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

r-7000 = 0

Solving a Single Variable Equation:

Solve : r-7000 = 0

Add 7000 to both sides of the equation :

r = 7000

One solution was found :

r = 7000

Step-by-step explanation:

Hope it is helpful.....

Answer:

0

Step-by-step explanation:

Answer:

The answer would be 0.

Step-by-step explanation:

Any negative number is less than 0 and any positive number is greater than 0.

The change in the amount of money that Noah's mother has can be represented by the expression $(17-8) . The expression can be simplified to $9, which shows that Noah still owes $9 to his mother.

The amount of money the Noah borrowed from his mother = $17

The amount of money that he was able to pay back = $8

Therefore the amount of money that is remaining = 17-8 =$9

Therefore, the change in the amount of money that Noah's mother has can be represented by the expression $(17-8) . The expression can be simplified to $9, which shows that Noah still owes $9 to his mother.

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The correct answer is option C, when the distribution of the data is approximately symmetric and bell-shaped.

According to the Empirical Rule, also referred to as the 68-95-99.7 Rule, for a normal distribution, roughly 68% of the data will lie within one standard deviation of the mean, 95% of the data will lie within two standard deviations of the mean, and 99.7% of the data will lie within three standard deviations of the mean.

Only when the distribution of the data is symmetric and bell-shaped does this rule hold.

The Empirical Rule cannot be used to estimate percentages if the data is skewed to the left or right.

The Empirical Rule can be used to predict the population from which the data were taken, making it a useful tool when examining data with a normal distribution.

It's crucial to remember that this rule is merely an estimation and may not be correct depending on whether the data follows a normal distribution.

Complete Question:

The empirical rule can be used to estimate some specific percentages _______.

Select one:

A. when the distribution of the data is skewed to the right.

B . when the distribution of the data is skewed to the left.

C. when the distribution of the data is approximately symmetric and bell-shaped.

D. when the distribution of the data has any shape.

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The answer is (a) $10,000.

The total cost of producing 200 units of output can be found by multiplying the output (200 units) by the average total cost (ATC) per unit, which is given as $50. Therefore, the total cost is:

Total Cost = Output x ATC

Total Cost = 200 x $50

Total Cost = $10,000

Therefore, the answer is (a) $10,000.

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There are 10 possible digits (0-9) that can be used for each of the nine digits in a Social Security number. Therefore, the total number of possible Social Security numbers is 10^9, which is 1 billion.

A Social Security number consists of nine digits. Since each digit can be any of the numbers 0 through 9, there are 10 possible choices for each digit. To find the total number of possible Social Security numbers, you would multiply the number of choices for each digit together: 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10, which equals 1,000,000,000 (one billion) possible Social Security numbers.

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The 15 foot ramp must make an angle 19.45° with the ground to reach the same window.

Since the height of the window above ground remains constant in both cases, it follows that by means of trigonometric identity sine; we have;

10sin30° = 15sinx

sinx = 5/15 = 0.333

x = sin-¹(0.333)

x = 19.45°.

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Randy needs 8 loads.

To find the answer on the question we have to follow the method of multiplication and division .

A washing machine can hold \(\frac{3}{4}\) kg of laundry in each load.

\(\frac{3}{4}\) kg of laundry is equal to 1 load.

\(\frac{3}{4}\) kg of laundry =  1 load

1 kg of laundry  =  \(\frac{1 * 4}{3}\) load ( following the method of division )

1 kg of laundry = \(\frac{4}{3}\) load

Randy has 6kg of laundry.

So, 1kg of laundry i.e \(\frac{4}{3}\) load is to be multiplied by 6.

6kg of laundry = \(\frac{4 * 6}{3}\) load ( following the method of multiplication)

                         = 8 loads

Hence, Randy needs 8 loads.

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Option D. is an obtuse scalene triangle in the given lists of diagrams.

In terms of geometry, an obtuse scalene triangle is one in which one of the angles is less than 90 degrees and the other two are less than 180 degrees, with the one angle measuring greater than 90 degrees but less than 180 degrees. Measurement differences exist for each of the three sides and angles.

Both the obtuse triangle and the scalene triangle's characteristics are present in an obtuse scalene triangle. A scalene triangle has all three sides and angles that are of a different size, whereas an obtuse triangle only has one obtuse angle. The following are the characteristics of an obtuse scalene triangle:

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