The large Ferris Wheel at the state fair completes 1 revolution every 12 seconds. The small Ferris Wheel completes 1 revolution every 10 seconds. Determine when both Ferris Wheels will meet at the bottom.

Answer:

Step-by-step explanation:

ab= 81

Answer:

ab=81

Step-by-step explanation:

Answer:

Huh??

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Step-by-step explanation:

For two events A and B in a sample space (a) Pr(AUB) = 1.0000000000001. (b) Pr(AIB) = 0.7840058543652 (c) Pr(BIA) =0.0280920459043 (d) Pr(A') = 1 - Pr(A) = 0.00769999999999996. (e) Pr(A) = 0.9923. (f) Pr(B') = 0.96443. (g) Pr((AUB)') = -1.11022302462516 x 10^-16.

Let A and B be two events in a sample space for which Pr(A) - 0.9923, Pr(B) = 0.0355700000000001 and Pr(AB) 0.02787 then :

a. To find Pr(AUB), we use the formula: Pr(AUB) = Pr(A) + Pr(B) - Pr(AB)
Plugging in the given values, we get: Pr(AUB) = 0.9923 + 0.0355700000000001 - 0.02787 = 1.0000000000001

b. To find Pr(AIB), we use the formula: Pr(AIB) = Pr(AB)/Pr(B)
Plugging in the given values, we get: Pr(AIB) = 0.02787/0.0355700000000001 = 0.7840058543652

c. To find Pr(BIA), we use the formula: Pr(BIA) = Pr(AB)/Pr(A)
Plugging in the given values, we get: Pr(BIA) = 0.02787/0.9923 = 0.0280920459043

d. Pr(A') = 1 - Pr(A) = 0.00769999999999996.

e. Pr(A) is given as 0.9923.

f. Pr(B') = 1 - Pr(B) = 0.96443.

g. To find Pr((AUB)'), we use the formula: Pr((AUB)') = 1 - Pr(AUB)
Plugging in the value we found in part (a), we get: g. Pr((AUB)') = 1 - Pr(AUB) = -1.11022302462516 x 10^-16.
Note that this result is not a valid probability since probabilities must be between 0 and 1.

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Answer:

C 35 hours

Explanion

5.25+4.75=10 every two days

10/2=5 hours a day

5x7=35 hours a week

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Answer:

A. 6m - 3

Step-by-step explanation:

6m represents finding the total cost for the 6 packs of muffins.

When you use PEMDAS or GEMDAS (whichever you know better), they both make you solve 6m first which means you subtract $3 after you find the total amount for the packs of muffins.

After you figure that out, you subtract the $3 from the total since it's a coupon and will save you $3 instead of adding it to the total price.

hope this makes sense and help :)

Answer:

A. 6m - 3

Step-by-step explanation:

Saving 3 dollars off of a coupon lowers the price therefore making it subtraction. 6m is the amount of the muffins cost, m being the unknown price of each muffin.

When plotting points on a quadratic inequality, the "included" points refer to the points that satisfy the inequality, and the "not included" points refer to the points that do not satisfy the inequality.

Generally, A quadratic inequality is an inequality that can be written in the form of

ax^2 + bx + c > 0 or ax^2 + bx + c < 0,

where a, b, and c are constants and x is a variable.

These types of inequalities can be solved using the same methods as solving quadratic equations, with the added step of testing the solutions in the original inequality to determine whether they are valid solutions.

Simply put, an equation of the kind with the greatest degree two and no equal sign is known as a quadratic inequality. There is a technique for resolving quadratic inequalities called the wavy curve approach. It is the same to solve quadratic equations as it is to solve quadratic inequalities.

For example, if the inequality is "y > x^2," the points that are above the parabola y = x^2 would be included, and the points that are below the parabola would be not included.

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To find the probability that the larger segment is at least three times the shorter, we need to use the uniform distribution. We can calculate this probability by considering the ratio of the two segments.

Let us assume the line segment has a length of 1 unit. For the probability to be true, the larger segment must be at least 3 units in length. Therefore, we must consider all possible points of division that create a ratio of at least 3. This can be represented by the following equation: P(\frac{x}{1-x} \geq 3)

This simplifies to P(x \geq \frac{1}{4}). The probability is then equal to the area under the uniform distribution from x=\frac{1}{4} to x=1. Therefore, the probability of the larger segment being at least three times the shorter is \frac{3}{4}.

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Answer:

9.1, 9.1041, 9.304, 9.34

Step-by-step explanation:

Answer:

im pretty sure its 1440

Step-by-step explanation:

you have to do 6 x 60 for one minute, then multiply that by 4 and you get 1440.

Answer:

I think it is 1200 feet.

Answer:

21.8901 g

Step-by-step explanation:

Given that:

1 gram of pure salt contains 0.393 g of sodium

1 gram = 0.393g

Gram of sodium in 55.7g of pure salt will be x

1g = 0.393g

55.7g = x

Cross multiply:

x = 55.7 * 0.393

x = 21.8901

55.7 g of pure salt will contain about 21.8901 g of sodium chloride

Answer:

no

Step-by-step explanation:

It is not because 7 is not an even number.

Answer:

-7 is not an even number.

Step-by-step explanation:

Even numbers are numbers that end in 0, 2, 4, 6, and 8.

This makes the number -7 Odd.

Odd number are numbers that end in 1, 3, 5, 7, and 9.

Answer:

22.33 feet tall / 267.96 inches tall

Step-by-step explanation:

The statue is 36 inches wide. If Chase made his model of the statue 16 inches wide, he decreased it by 20 inches. Now change the inches into feet. 36 inches would be 3 feet, 16 inches would be 1.33 feet and 20 inches would be 1.67 feet. 24ft - 1.67 = 22.33ft. Now change the answers to inches.  22.33ft will be 267.96 inches tall.

Answer:

19$

Step-by-step explanation:

Answer:

Let x be the cost of a floor lamp.

Let y be the cost of a table lamp.

2x+3y=360

2x+y=240

2x=360-3y

2x=240-y

360-3y=240-y

360=240+2y

120=2y

y=60

One table lamp is 60 dollars.

Let me know if this helps!

LCL and UCL values of both scenarios are (158.61,161.39),(69.65,70.35) respectively.

To calculate the lower confidence limit (LCL) and upper confidence limit (UCL) for each given scenario, you'll need to use the following formula:

LCL = X - (z * (sigma / √n))
UCL = X+ (z * (sigma / √n))

where X is the sample mean, n is the sample size, sigma is the population standard deviation, and z is the z-score corresponding to the desired confidence level (1 - alpha).

First Scenario:
X = 160, n = 436, sigma = 30, alpha = 0.01

1. Find the z-score for the given alpha (0.01).
For a two-tailed test, look up the z-score for 1 - (alpha / 2) = 1 - 0.005 = 0.995.
The corresponding z-score is 2.576.

2. Calculate LCL and UCL.
LCL = 160 - (2.576 * (30 / √436)) ≈ 158.61
UCL = 160 + (2.576 * (30 / √436)) ≈ 161.39

First Scenario Result:
LCL = 158.61
UCL = 161.39

Second Scenario:
X= 70, n = 323, sigma = 4, alpha = 0.05

1. Find the z-score for the given alpha (0.05).
For a two-tailed test, look up the z-score for 1 - (alpha / 2) = 1 - 0.025 = 0.975.
The corresponding z-score is 1.96.

2. Calculate LCL and UCL.
LCL = 70 - (1.96 * (4 / √323)) ≈ 69.65
UCL = 70 + (1.96 * (4 / √323)) ≈ 70.35

Second Scenario Result:
LCL = 69.65
UCL = 70.35

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The function given is,

We are told to find the inverse function?

SOLUTION

Replace x with y

Solve for y

Collect like terms

Multiply both sides by 21

Hence,

The correct option is Option D.

Answer:

The answer is d

Step-by-step explanation:

The following equation could be used to represent a function w:

= w(x)=v(x-7)+7

According to the information provided,

The point of discontinuity of rational functions is at x=7.

When a rational function has a point of discontinuity, it generally occurs when,

q(x) = r(x-a), where x = a

In this case, we must pay attention to the following relationship, which is a combination of a parent rational function and a vertical translation:, (2)

If we know that a=7 and k=7.

The equation which can represent w is as follows,

w(x) = v ( x-7 ) + 7

A rational function can be represented as a polynomial split by another polynomial. Because polynomials are defined everywhere, the domain of a rational function is the set of all numbers except the zeros in the denominator.

Example: x = f(x) (x - 3). The denominator, x = 3, has only one zero. Rational functions are no longer defined when the denominator is zero.

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Answer:

ASA

Step-by-step explanation:

SAS, it must go in order and SAS covers it up, Side, Angle, Side

The expected value of buying one ticket in this charity raffle is $0.42. This means that, on average, a person can expect to win approximately $0.42 if they purchase a single ticket.

To calculate the expected value, we need to consider the probability of winning each prize multiplied by the value of the prize. Let's break it down:

- There is a 1/5000 chance of winning the $600 prize, so the expected value contribution from this prize is (1/5000) * $600 = $0.12.

- There are 3/5000 chances of winning the $300 prize, so the expected value contribution from these prizes is (3/5000) * $300 = $0.18.

- There are 5/5000 chances of winning the $40 prize, so the expected value contribution from these prizes is (5/5000) * $40 = $0.04.

- Finally, there are 20/5000 chances of winning the $5 prize, so the expected value contribution from these prizes is (20/5000) * $5 = $0.08.

Summing up all the expected value contributions, we get $0.12 + $0.18 + $0.04 + $0.08 = $0.42.

Therefore, if you buy one ticket in this raffle, the expected value of your winnings is $0.42.

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1. The value of Z is 1.96 determined from Z-table or a calculator. 2. The confidence interval equation is 161 ± 1.96* (4/√20). 3.The standard error is 0.8944. 4. The margin of error is 1.754. 5. The upper and lower limits are 162.754 and 159.246 respectively. 6. Confidence interval indicate how confident the researchers is that true mean is within the range.

1. For a 95% confidence interval, the value for Z is 1.96. This value is found by looking at a Z-table or using a calculator to find the Z-score that corresponds to a 95% confidence level.

2. The confidence interval equation is:

CI = x ± Z* (σ/√n)

Where x is the sample mean, Z is the Z-score, σ is the sample standard deviation, and n is the sample size.

Plugging in the values from the question, we get:

CI = 161 ± 1.96* (4/√20)

3. The standard error is calculated by dividing the sample standard deviation by the square root of the sample size:

SE = σ/√n = 4/√20 = 0.8944

4. The margin of error is calculated by multiplying the Z-score by the standard error:

ME = Z*SE = 1.96*0.8944 = 1.754

5. The upper and lower limits are calculated by adding and subtracting the margin of error from the sample mean:

Upper limit = x + ME = 161 + 1.754 = 162.754

Lower limit = x - ME = 161 - 1.754 = 159.246

6.  The 95% confidence interval for the mean drug price is between $159.246 and $162.754. This means that we are 95% confident that the true mean price of the drug is within this range.

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The given statement "descriptive statistics uses the data to make inferences and predictions about a population based on a sample of data taken from the population in question" is FALSE.

How is this false?

Descriptive statistics is a branch of statistics that studies and summarizes a set of data's main features. It aids in the interpretation of data and drawing conclusions about the population based on sample data. Descriptive statistics are used to provide a quick summary of the data set's key characteristics.

An inference is a statistical method of estimating the characteristics of a population based on a sample's data. It is a method of predicting data in a population based on the observations made in a sample. The primary goal of inferential statistics is to make predictions about a population based on data from a sample of that population.

Predictions are projections or guesses about what might occur in the future. When used in statistics, prediction refers to the use of current data to estimate what might occur later. A statistical model is usually used to make a prediction.

A population is the entire collection of items or individuals about which you want to learn in statistics. A population is made up of all of the objects or people who possess the qualities that the researcher is interested in researching.

A sample is a subset of a population that is used to collect data and conduct statistical analyses. The sample size is typically less than the population size, and data collected from a sample is used to make inferences about the population as a whole.

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Answer:

15.730337078652

Step-by-step e15.730337078652

89 percent (calculated percentage %) of what number equals 14?

Answer: 15.730337078652.

Explanation:

We have x = 5 turn into x = 1. We need to subtract 4 from the x coordinate to get this. Therefore x turns into x-4.

The y coordinate stays at y = 2 the entire time, so y isn't altered. We have y map to y.

Overall, the rule is \((x,y) \to (x-4, y)\) which translates the point 4 units to the left.

\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the concept of surface areas and volumes.

To get the volume of the whole irregular shape, we have to divide it into two regular parts, find the individual volume and then add up them to getthe whole volume.

Here we divide it into two separate parts. so we get as,

after solving, we get total volume as 1140 cm^3