A card is picked from a standard deck of 52 cards. Determine the odds against and the odds in favor of selecting an ace. The odds against selecting an ace are

Answer:

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The tendency to perceive meaningful patterns in random sequences of outcomes often leads us to underestimate the extent to which outcomes result from CHANCE .

The word "chance" describes unpredictability or the unexpected in relation to things like events that happen without a clear reason why and without human intention.

The conclusion is that chance is the tendency of people to recognize different kinds of significant patterns in a random order or sequence in addition to evaluating any kind of outcome. Because chance can also result in an underestimating of a system's conclusion or result, it is crucial to consider it when conducting an investigation.

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Answer:

21 centimeters

Step-by-step explanation:

As the table shows: 1 centimeter = 10 millimeters,

so that would mean 40 millimeters is 4 centimeters since 40/10=4

You then subtract 25 - 4 (centimeters) which = 21 centimeters.

Meaning Naomi's guinea pig is 21 centimeters longer than her fish.

("/" means division)

Imagine that a survey of randomly selected people finds that people who used sunscreen were more likely to have been sunburned in the past year.

There are several possible explanations for the finding that people who used sunscreen were more likely to have been sunburned in the past year.

However, without additional context or data, it is difficult to determine the most likely explanation definitively. Here are a few possible explanations to consider:

1. Ineffective or improper use of sunscreen: It is possible that the individuals who reported using sunscreen did not apply it correctly or did not reapply it as recommended.

Inadequate application or failure to follow proper sunscreen usage guidelines could result in insufficient protection from the sun's harmful rays, leading to sunburn.

2. Self-selection bias: It is possible that individuals who have previously experienced sunburns may be more likely to use sunscreen. They may be more aware of the potential risks and take precautions, including using sunscreen.

This could create an association between sunscreen use and sunburn, even though sunscreen itself is intended to prevent sunburn.

3. Recall bias: The survey responses may be subject to recall bias, where individuals may inaccurately remember or report their sunscreen use and sunburn experiences.

Memory limitations or subjective perceptions of sunburn severity could influence the reported data and the observed association between sunscreen use and sunburn.

4. Confounding factors: There may be other factors or variables at play that are related to both sunscreen use and sunburn. For example, individuals who engage in activities that increase sun exposure or who have certain skin types may be more likely to both use sunscreen and experience sunburn.

It is important to note that further investigation, including more detailed surveys, data collection and statistical analysis, would be necessary to determine the most likely explanation for the observed association between sunscreen use and sunburn.

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To determine if a polynomial graph is positive or negative, you need to look at the sign of the leading coefficient of the polynomial. If the leading coefficient is positive, the graph will be positive.

If the leading coefficient is negative, the graph will be negative. This is because the highest degree of the polynomial will determine the sign of the graph as the graph will either be increasing (positive) or decreasing (negative). To determine the leading coefficient, look at the polynomial expression and identify the term with the highest degree. The sign of this term will be the sign of the graph. For example, if the highest degree is 3, then the term would be ax^3, and the graph will be positive if a is positive, and negative if a is negative.

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Answer:

25÷2=12.5

Step-by-step explanation:

you put the 25 inn the division box and the 2 on the outside and 12.5 is your answer

Answer: 12.5

\(\frac{25}{2} =12.5\)

\(\frac{5^{2}}{2} = 12 \frac{1}{2} = 12.5\)

Constructing a confidence interval for the mean of a distribution based on one sample is Confidence level = 1 - significance level.

The definition of the confidence level is (1-α). Zα is the number of standard deviations from the mean at which X with a certain probability lies. If Z = 1.96 is selected, the likelihood that the real mean falls inside the range is set at 0.95, hence we are asking for the 95% confidence interval.

Let us consider,

Confidence level = c

significance level \(= \alpha\)

\(c = 1 - \alpha\)

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Answer:

x = 11

z = 99

Step-by-step explanation:

        Vertically opposite angles are congruent.

      \(\boxed{\bf z = 99^\circ}\)

   99 + (10x - 29) = 180  {Linear pair}

    99 + 10x - 29 = 180

             10x + 70 = 180

Subtract 70 from both sides,

                      10x = 180 - 70

                     10x = 110

Divide both sides by 10

                          x = 110 ÷ 10

                          \(\sf \boxed{\bf x = 11^\circ}\)

Answer:

40.9

Step-by-step explanation:

Perimeter = 8 + 10 + 10 + 4 + 8.9

=> 20 + 4 + 8.9 + 8

=> 32 + 8.9

=> 40.9

This is already in the nearest tenth, so the answer = 40.9

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Answer:

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Step-by-step explanation:

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The coordinates of the polygon A'B'C'D' following a reflection across the x-axis and a translation 2 units up are;

The vertices of the polygon are;

A(1, 1), B(2, 3), C(3, 2), and D(2, 1)

Reflection over the x-axis gives;

(x, y) reflection across the x-axis → (x, -y)

Which gives;

A(1, 1) R x-axis → A''(1, -1)

B(2, 3) R x-axis → B''(2, -3)

C(3, 2) R x-axis → C''(3, -2)

D(2, 1) R x-axis → D''(2, -1)

Translation of the points ABCD 2 units up gives;

A''(1, -1) T(0, 2) → A'(1, -1 + 2) = A'(1, 1)

B''(2, -3) T(0, 2) → B'(2, -3 + 2) = B'(2, -1)

C''(3, -2) T(0, 2) → C'(3, -2 + 2) = C'(3, 0)

D''(2, -1) T(0, 2) → D'(2, -1 + 2) = D'(2, 1)

The coordinates of A'B'C'D' are therefore;

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Using a moving average of order p = 3, a forecast for time period 6 is 46.

The moving average is a mathematical method for calculating a series of averages using various subsets of the full dataset. It is also known as a rolling average or a running average. The moving average smoothes the underlying data and lowers the noise level, allowing us to visualize the underlying patterns and patterns more readily. In other words, a moving average is a mathematical calculation that employs the average of a subset of data at various time intervals to determine trends, eliminate noise, and better forecast future outcomes. Answer: 46.

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The price of the watch before the discount is calculated to be £24.44.

As the total price of the watch and a pair of trainers is £53. 55 and the price of the trainer before the discount was £38, we first calculate the price of the trainers after the discount as follows;

discount on a pair of trainers = 15/100 × 38 =  £5.7

cost of trainers after discount =  £38 - 5.7 =  £32.3

Now the price of the watch after the discount can be calculated by subtraction as follows;

price of watch after discount = total price - price of trainers after discount

price of watch after discount =  £53. 55 - £32.3

price of watch after discount = £21.25

Now the price of the watch before the discount can be calculated as follows;

price of watch before discount = £21.25 × 15/100

price of watch before discount = £21.25 + £3.1875

price of watch before discount = £24.44

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Answer:

1) Pr(all three) = 0.064

2) Pr(none) = 0.216

3) Independent event

Step-by-step explanation:

Let Probability of homes constructed in the Quail Creek area with a security system = Pr (security)

Where Pr = probability

This is a binomial distribution problem. There ate only two outcomes in this distribution: a success and a failure

Where p = success, q = failure

For n trials,

Pr(X = x) = n!/[(n-x)!x!] × p^x × q^(n-x)

Pr (security) = 40% = 0.4

p = 0.4

q = 1-p = 1-0.4 = 0.6

Numbers selected at random = n = 3

See attachment for more details on the workings.

1) Probability all three of the selected homes have a security system = Pr(all three)

Pr(all three) = 1× (0.4)³ (0.6)^0 = 0.4³

= 0.4×0.4×0.4

Pr(all three) = 0.064

2) Probability none of the three selected homes have a security system

= Pr(none)

Pr(none) = 1 × (0.4)^0 × (0.6)³

= 0.6³ = 0.6×0.6×0.6

Pr(none) = 0.216

3) The events were assumed to be independent as the selection of one house doesn't affect the outcome of the selection of another.

There are a total of 12 chocolate chip + 10 sugar + 18 peanut butter = 40 cookies in the sack. The probability of selecting a cookie that is not a peanut butter cookie is (12 chocolate chip + 10 sugar) / 40 = 22/40 or 0.55. So, there is a 55% chance that the selected cookie will not be a peanut butter cookie.

Answer:12 18

Step-by-step explanation:

6 x 2 = 12 6 x 3 = 18

The correct answer is C, A 100% confidence interval is not possible unless either the entire population is sampled or an absurdly wide interval of estimates is provided.

A confidence interval is a statistical range that provides an estimate of the true population parameter with a specified level of confidence. The confidence level represents the proportion of times the interval will contain the true parameter if repeated sampling is done.

However, achieving a 100% confidence level would require either sampling the entire population (which is often impractical or impossible) or providing an absurdly wide interval that covers all possible values. In reality, there is always a degree of uncertainty and variability in sampling, and the sample may not fully represent the entire population. Therefore, a 100% confidence interval is not possible in most practical situations.

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The hours that it will take the boat if it were traveling at 33.3 kilometers per hours is 3.6 hours.

A ratio simply means the comparison of the numbers that are given.

From the information, the boat was travelling at 40 km per hour and traveled 120 km in 3 hours.

Let the time that it will travel at 33.3 km be represented as x. Thus the proportional ratio will be:.

3/x = 33.3 / 40

Cross multiply

33.3x = 120

Divide

x = 120 / 33.3

x = 3.6 hours.

The hours is 3.6 hours

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Complete question

A boat was travelling at 40 km per hour and traveled 120 km in 3 hours..How long would it take the boat if it were traveling at 33.3 kilometers per hours

She will need 14feet rectangle wood for the frame.  She will need 12 square feet rectangle tiles for the tabletop.

What is rectangle?

In the Euclidean plane, a rectangle is a trapezoid with four right angles. As an equiangular quadrilateral, which means that all of its angles are equal, it can also be referred to as a parallelogram with a right angle. A parallelogram with four evenly long sides is a square.

The distance (\(x_{1}\)\(y_{1}\)) and (\(x_{2}\),\(y_{2}\)) is

d= √(\(x_{1}\)-\(x_{2}\))^2+(\(y_{1}\)-\(y_{2}\))^2

The tabletop has consecutive vertices at (1, 5), (5, 5), (5, 2), and (1, 2)

Its length in distance of (1,5) and (5,5)

So, l= √(1-5)^2+(5-5)^2= √16=4 feet

Similarly the width in distance of (5,5) and (5,2)

So, w= √(5-5)^2+(5-2)^2=√9= 3 feet

The perimeter of the wood= 2(4+3)= 14 feet

The area of the rectangle tiles is = 4*3= 12 square feet.

Hence She will need 14feet rectangle wood for the frame.  She will need12 square feet rectangle tiles for the tabletop.

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The first part of the graph is Casho going to the store at 1 block per minute:

The next part is the time she spent at the store, therefore the time increased but the number of blocks did not:

The following part is Casho going to the bank at a speed of 3 blocks every 2 minutes for a distance of 6 blocks:

Now, we consider the time she spent at the bank:

Finally, Casho drove back home at a speed of 2 blocks per minute.

Answer:

The graph of the whole trip is as follows:

Answer:

I think it should be 11/3

Answer:

Step-by-step explanation:

It has one solution

You can model 3x2/4 as the mathematical expression that represents the division of the product of 3 and 2 by 4. The result of this expression is 3/2.

In mathematics, division is an arithmetic operation that is the inverse of multiplication. Given two numbers, the quotient is the number of times the second number "fits into" the first number.

The product is the result of multiplying two or more numbers together. Dividing a product is the process of finding out how many times one of the factors in the product can be taken to equal the product.

For example, if the product is 12 and the divisor is 3, then the quotient is 4, because 3 x 4 = 12

So, in the example 3x2/4, the product of 3 and 2 is 6 and we divide it by 4 to get the quotient of 3/2.

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Fewer than 4 patients would arrive in one hour approximately 10.6% of the time.

To find the percentage of time when fewer than 4 patients arrive in one hour, we need to calculate the cumulative probability of the arrival rate. We can use a Poisson distribution to approximate the probability. In this case, the average arrival rate is 5.9 patients per hour.

We can then calculate the probability of having 0, 1, 2, or 3 patients using the Poisson distribution formula. Summing up these probabilities will give us the percentage of time when fewer than 4 patients arrive. By performing the calculations, we find that the percentage is approximately 10.6%.

Understanding the probabilities associated with arrival rates is crucial for managing resources and capacity in settings like hospitals. By analyzing the probabilities, healthcare professionals can make informed decisions regarding staffing, resource allocation, and emergency preparedness.

It helps in ensuring efficient and effective operations while providing timely and appropriate care to patients.

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Given that the equation of the line in the diagram is `y = 5 - x`. The line cuts the y-axis at P. So, the coordinates of point P are (0,5) and the gradient of the line is `-1`.

The equation of the line can be written as `y = -1x + 5`.Therefore, the y-intercept of the line is 5. Therefore, the coordinates of point P are (0,5).

To find the gradient of the line, we have to write the equation of the line in the form of `y = mx + c`.

We can rewrite `y = -1x + 5` as `y = (-1)x + 5`.From the above form of the equation, we can see that the gradient `m` is `-1`.Therefore, the gradient of line 1 is `-1`.Hence, the required answer is: Coordinates of point P is `(0,5)`.The gradient of the line is `-1`.

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\(\sqrt{35}\)

This cannot be simplified any further.

Have a good one!

The equation of this circle in standard form is x² + y² - 8x  - 16y + 73.75 = 0

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

Endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5)

These endpoints represent endpoints of the diameter

So, we have the diameter to be

diameter = √[(x₂ - x₁)² + (y₂ - y₁)²]

Substitute the known values in the above equation, so, we have the following representation

diameter = √[(4 - 4)² + (5.5 - 10.5)²]

Evaluate

diameter = 5

So, we have

radius, r = 5/2

The midpoint is

(a, b)= 1/2[(4 + 4, 5.5 + 10.5)]

So, we have

(a, b)= (4, 8)

The circle equation is calculated as

(x - a)² +(y - b)² = r²

Substitute the known values in the above equation, so, we have the following representation

(x - 4)² +(y - 8)² = 2.5²

This gives

x² - 8x + 16 + y² - 16y + 64 = 6.25

Evaluate the like terms

x² + y² - 8x  - 16y + 73.75 = 0

Hence, the equation is x² + y² - 8x  - 16y + 73.75 = 0

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