The spinner to the right is spun 20 times. It lands on red 6 times, yellow 2 times, green 8 times, and blue 4 times.

Based on the data, what is the experimental probability of landing on yellow?

You may give your answer as a simplified fraction, decimal, or percent.

Answer:

first option

Step-by-step explanation:

Given

| x + 4 | = 2

The absolute value function always produces a positive value but the expression inside can be positive or negative, thus

x + 4 = 2 ( subtract 4 from both sides )

x = - 2

OR

- (x + 4) = 2, distribute left side

- x - 4 = 2 ( add 4 to both sides )

- x = 6 ( multiply both sides by - 1 )

x = - 6

Thus solutions are x = - 2, x = - 6

These are represented on the graph by solid blue circles at x = - 2, x = - 6

The first option represents the solution

The slope of the function is $400.

The slope of a function is the rate of change of the dependent variable with respect to the independent variable. The equation that represents a function is: y = mx + b

Where:

Looking at the total money raised, the amount of money increases by 400. This is the slope.

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The maximum likelihood estimator (MLE) for a single observation from a Bernoulli population, where the mean is known to be restricted to p [1/3, 2/3], is p = 0.

The maximum likelihood estimator (MLE) for a single observation from a Bernoulli population with a known mean restriction p [1/3, 2/3] can be found by maximizing the likelihood function.

In this case, the likelihood function can be defined as the probability of obtaining the observed value given the parameter p. Since the population follows a Bernoulli distribution, the likelihood function can be expressed as:

\(L(p) = p^x * (1-p)^(1-x)\)

where x is the observed value (0 or 1).

To find the MLE, we need to find the value of p that maximizes the likelihood function. Taking the derivative of the log-likelihood function with respect to p and setting it equal to zero, we can solve for the MLE.

The log-likelihood function for a single observation from a Bernoulli distribution is:

\(log L(p) = x * log(p) + (1-x) * log(1-p)\)

Taking the derivative with respect to p:

\(d/dp (log L(p)) = (x/p) - ((1-x)/(1-p))\)

Setting it equal to zero and solving for p:

\((x/p) - ((1-x)/(1-p)) = 0\)

Simplifying the equation, we get:

\(x(1-p) - (1-x)p = 0\)

Expanding the equation further, we get:

x - px - p + xp = 0

2xp - 2p = x

Factoring out p, we get:

\(p(2x-2) = x\)

Dividing both sides by (2x-2), we get:

p = x / (2x-2)

In this case, since the mean is restricted to the range [1/3, 2/3], we need to consider the possible values of x (0 or 1) and substitute them into the equation to find the MLE.

For x = 0:

p = 0 / (2*0-2)

= 0

For x = 1:

p = 1 / (2*1-2)

= 1 / 0

= undefined

Therefore, the maximum likelihood estimator (MLE) for a single observation from a Bernoulli population, where the mean is known to be restricted to p [1/3, 2/3], is p = 0.

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Answer:

\(\bigodot\) None of the other answers are correct.

Step-by-step explanation:

the standard deviation (σp) of the proportion of teenagers aged 12-17 who own smartphones is approximately 0.0480.

To find the standard deviation (σp) of the proportion of teenagers aged 12-17 who own smartphones, we can use the formula:

σp = √(p * (1 - p) / n)

where p is the proportion of teenagers who own smartphones and n is the sample size.

Given that the poll agency reports that 37% of teenagers own smartphones, we can convert this percentage to a decimal by dividing it by 100: p = 37% / 100 = 0.37.

The sample size is given as 101 teenagers: n = 101.

Now, we can substitute the values into the formula:

σp = √(0.37 * (1 - 0.37) / 101)

Simplifying the equation:

σp = √(0.37 * 0.63 / 101)

Calculating:

σp ≈ √(0.2331 / 101)

σp ≈ √0.00230693

Rounding to at least four decimal places, the standard deviation is:

σp ≈ 0.0480
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the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is 384.12, which can be rounded up to 385.

The minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is as follows:

95% confidence, within 5 percentage points, and a previous estimate of 0.25.

The formula to calculate the sample size required for the study to determine the proportion is given by:

`n = Z²pq / E²`

Where n = sample size

Z = z-value (1.96 at 95% confidence interval)

E = margin of error

p = estimated proportion of the population

q = 1 - pp

q = estimated proportion of population without the condition (1 - 0.25 = 0.75)

Given,

Z = 1.96E = 0.05p = 0.25q = 0.75

Substituting these values in the above formula, we get;

`n = (1.96)²(0.25)(0.75) / (0.05)²``n = 384.16`

Therefore, the minimum number of subjects needed for a research study regarding the proportion of respondents who reported a history of diabetes using the following criteria is 384.12, which can be rounded up to 385.

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Answer:

the ordered pair (0, 1/6)

Step-by-step explanation:

To reflect a function across the y-axis, we replace every occurrence of x with -x. Therefore, the function g(x) is given by:

g(x) = f(-x) = 1/6(2/5)^(-x)

To find an ordered pair on g(x), we need to choose a value of x and evaluate g(x). For example, if we choose x = 0, then:

g(0) = 1/6(2/5)^(-0) = 1/6

Therefore, the ordered pair (0, 1/6) is on the graph of g(x).

Answer:

7.746 hours

Step-by-step explanation:

50 / 3 = 16.6

16.6 x 28 = 464.8

464.8 / 60

7.746 hours

The answer to your question depends on the specific context and analysis being referred to. In statistical analysis, a coefficient is a measure of the strength and direction of the relationship between two variables. The term "statistically significant" refers to whether a result or relationship observed in a sample is likely to hold true in the larger population, based on the probability of obtaining such a result by chance.

If the coefficient for population is found to be statistically significant at a certain level, this means that the relationship between population and the outcome being studied is unlikely to have occurred by chance alone.

In your question, the possible answers suggest different levels of statistical significance, ranging from 1% to 49.5%. Generally, a standard level of significance is set at 5%, meaning that there is a 95% chance that the relationship observed in the sample is true for the population as a whole. If the coefficient for population is found to be statistically significant at the 5% level, this would suggest that the relationship is strong enough to be confident that it holds true in the larger population.

However, if the coefficient is only statistically significant at a higher level (such as 1%), this suggests an even stronger relationship between population and the outcome being studied. On the other hand, if the coefficient is not statistically significant at any level (i.e. it is "insignificant"), this suggests that there is not enough evidence to support a relationship between population and the outcome, or that any relationship that does exist is weak and likely due to chance.

Without more context or information about the specific analysis being conducted, it is difficult to determine which of these answers is correct. However, if a coefficient for population is found to be statistically significant, it is important to provide an explanation of what this means in the context of the research question and the data being analyzed.  

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Answer:

The answer is A.

Step-by-step explanation:

The angle your looking at is a 90 degree angle therefore if you split it in half that makes each side 45 degrees. Just off of the fact that B says, "The measure of the smaller angle is 55 degrees" already makes it completely wrong since it would be have to be smaller than 45 degrees.

Answer:

the degree of f(x) is 3

Step-by-step explanation:

fundamental theorem of algebra

The degree of function f(x) is at least 3.

The function has n intercepts i.e. it touches the x-axis n times, then the function will have at least n roots.

And as we know if the degree of the function is n then the number of roots of the function is n.

So, if the function has n intercepts, then the function has at least n degrees.

Here given that the polynomial function f(x) has 3 intercepts.

Then from above, it is clear that the function will have at least 3 roots.

And the function will have at least 3 degrees.

Therefore If the polynomial f(x) has 3 intercepts, then The degree of function f(x) is at least 3.

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When sin θ = - 3/5 and the terminal side of θ lies in quadrant III, then cos θ is  -4/5

The terminal side of an angle refers to the line that intersects the initial line to make an angle

In the problem the terminal side is said to be in the third quadrant and the in the third quadrant sin θ = - 3/5

sin θ = opposite / hypotenuse

using Pythagoras the adjacent is 4, in third quadrant we have -4

cos θ = - adjacent / hypotenuse = -4/5.

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Answer:

its not a straight line so what is the question ????????  maybe f(-3) = -3f

Step-by-step explanation:

As range doesn't reveal anything about the distributive property of the data, it is the least helpful measure of variability because it is the most generic.

1. Sort the data either ascendingly or descendingly.

2. Determine how many items are in the data set.

3. The median is the number in the middle of the list if the number of items is odd.

4. The median is the average of the two middle numbers in the list if the number of items is even.

To figure out the range:

1. Sort the data either ascendingly or descendingly.

2. To determine the range, deduct the smallest number from the largest.

As range does not reveal anything about the distribution of the data, it is the least useful measure of variability because it is the most generic. Range does not indicate where the values fall within the range; rather, it measures the difference between the highest and lowest values in a data collection.

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Using the master theorem, the Θ-class are: a) T(n) = Θ(n)b) T(n) = Θ(n) and c) T(n) = Θ(√n log n).

a) T(n)=2T(n/2)+n³

To find the Θ class of T(n), we need to apply the Master Theorem. In the Master Theorem, if T(n) = aT(n/b) + f(n) where a >= 1, b > 1, and f(n) is an asymptotically positive function, then:

T(n) = Θ(nᵈ)

where d = logₐ(b).

Here a = 2, b = 2 and f(n) = n³.

So, d = log₂(2)

= 1T(n)

= Θ(nᵈ)

= Θ(n¹)

= Θ(n)

Therefore, the Θ class of T(n) is Θ(n).

b) T(n)=2T(n/2)+3n−2

Similarly to part (a), we can find the Θ class of T(n) by using the Master Theorem.

In this case, a = 2, b = 2 and f(n) = 3n - 2.

Here, d = log₂(2)

= 1T(n)

= Θ(nᵈ)

= Θ(n¹)

= Θ(n)

Therefore, the Θ class of T(n) is Θ(n).

c) T(n)=4T(n/2)+nlogn

For this recurrence relation, a = 4, b = 2 and f(n) = nlogn.

In this case, d = log₄(2) = 0.5.

So,

T(n) is

= Θ(nᵈ)

= Θ(n⁰.⁵)

= Θ(√n log n)

Therefore, the Θ class of T(n) is Θ(√n log n).

Hence, the correct options are:a) T(n) = Θ(n)b) T(n) = Θ(n)c) T(n) = Θ(√n log n).

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The test statistic value is approximately 9.69.

To calculate the test statistic for this problem, we will use the following formula:
Test statistic (z) = (p_sample - p_population) / √(p_population * (1 - p_population) / n)
Where:
- p_sample is the proportion of voters who support the taxpayer-funded free college program in the sample (375/610)
- p_population is the proportion of voters who oppose making all U.S public colleges free according to the 2019 Quinnipiac University poll (58% or 0.58)
- n is the sample size (610)
First, let's find p_sample:
p_sample = 375/610 = 0.6148
Now we need to find the proportion of voters who support the program in the population, since we know that 58% oppose it:
p_population = 1 - 0.58 = 0.42
Now we can plug these values into the test statistic formula:
z = (0.6148 - 0.42) / √(0.42 * (1 - 0.42) / 610)
z = 0.1948 / √(0.2436 / 610)
z = 0.1948 / 0.0201
z ≈ 9.69
The test statistic value is approximately 9.69.

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Answer:

The formula should be n=P/s

Step-by-step explanation:

n=Ps is the perimeter multiplied by each side. If you want to find the perimeter of each side or (P) you have to divide it by each side (s). Each side should be 6 1/2 or 6.5 cm

In order for us to determine the value of (x - y)(x - y), we have to solve for the value of x and y first. To do that, we can use the substitution method. Here are the steps.

1. Rewrite equation 1 xy = 12 in terms of "y" by dividing both sides of the equation by x.

So, equation 1 becomes y = 12/x.

2. Replace the value of y in equation 2 with 12/x.

Then, solve for x.

Add the terms on the left side of the equation. Use x² as the GCD.

Cross multiply.

Then, we factor the quartic polynomial. In order to factor, just answer the question "what are the factors of 144 that add to -25?".

The factors are -16 and -9. Hence, we can rewrite the equation as:

Then, divide the equation into two groups.

Then, factor out x² in the first group and factor out 16 in the second group.

Since x² - 9 is a common factor on both groups, we can just rewrite it as:

Then, equate each factor to zero. Then, solve for x.

Therefore, there are 4 possible values of x. These are +4, -4, +3, and -3.

Since xy = 12, then:

1. At x = 4, y = 3.

2. At x = -4, y = -3.

3. At x = 3, y = 4.

4. At x = -3, y = -4.

Let's plug the pairs of x and y in the expression (x - y)(x - y) and solve.

On all pairs, the value of (x - y)(x- y) is 1. Hence, the answer is 1.

Here's some required measures !

Let's calculate its surface area ~

One way to tell if (x + 5) is a factor of the polynomial P(x) = x³ + 7x² - 5x - 75 is to use the factor theorem, which states that if (x - c) is a factor of a polynomial P(x), then P(c) = 0.

To apply the factor theorem, we substitute -5 for x in the polynomial P(x) and evaluate:

P(-5) = (-5)³ + 7(-5)² - 5(-5) - 75

= -125 + 175 + 25 - 75

= 0

Since P(-5) = 0, we can conclude that (x + 5) is a factor of P(x). This is because the factor theorem tells us that if P(c) = 0, then (x - c) is a factor of P(x), and we can use the equivalent expression (x + 5) = (x - (-5)) to conclude that (x + 5) is a factor.

Alternatively, we can perform polynomial long division by dividing P(x) by (x + 5) and checking if the remainder is zero. If the remainder is zero, then (x + 5) is a factor of P(x).

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Answer:

(-8, -8)

Step-by-step explanation:

You need to solve one of the equation for x or y.  I am going to solve the bottom equation for x

4x -4y = 0  Add 4y to both sides

4x = 4y  Divide both sides by 4

x = y  Substitute y in for x in the first equation

-7x + 4y = 24

-7y + 4y = 24  Combine like terms

-3y = 24  Divide both sides by -3

y = -8

Since x = y

x = -8

Check:

-7y + 4y = 24

-7(-8) + 4(-8) = 24

56 - 32 = 24

4x - 4y = 0

4(-8) - 4(-8) = 0

-32 + 32 = 0

0 = 0

Answer: x=-1, y= -3

Step-by-step explanation:

1.substitute y for -3

[2x-(-3)=1]

2.simplify

[2x+3=1]

3. Isolate x for 2x+3

x= -1,y=-3

a. Applying Gauss's theorem:

Gauss's theorem states that for a vector field F and a closed surface S enclosing a volume V, the flux of F through S is equal to the divergence of F integrated over V.

In this case, the vector field F is given as F: R³ → R³. Since S is a closed surface enclosing the three-dimensional region V, we can apply Gauss's theorem to the volume integral Jo(V x F).dV.

By Gauss's theorem, we have ∮(V x F).dS = ∬∬(∇ · (V x F))dV.

Since V has no boundary, the surface integral ∮(V x F).dS over S is zero.

b. Applying Stoke's theorem:

Stoke's theorem states that for a vector field F and a surface S with a boundary curve C, the circulation of F around C is equal to the curl of F integrated over S.

In this case, since S is a closed surface with no boundary, there is no boundary curve C.

Therefore, Stoke's theorem does not apply directly to this situation.

In this case, we can use Gauss's theorem to show that Jo (V x F).dS = 0. Stoke's theorem does not directly apply to a closed surface with no boundary.

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The specific gravity of the combined product is 1.22

Specific gravity is the ratio of the density of a substance to the density of some substance (such as pure water) taken as a standard when both densities are obtained by weighing in air.

Given,

The total quantity of portion= 50 ml

Specific gravities of the three syrups = 1.10,1.25 and 1.32

Then,

The specific gravity of the combined product= \(\frac{1.10+1.25+1.32}{3}\)

= 1.22

Hence, the specific gravity of the combined product is 1.22.

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Comparing the consistency between two data sets when their means are very different is best done with the Coefficient of Variation (CV).

The formula for calculating the coefficient of variation (CV) is :CV = (Standard Deviation / Mean) * 100For a given set of data, the coefficient of variation indicates the relative size of the standard deviation to the mean, as a percentage. The CV indicates the degree of variation of a dataset relative to its mean.In comparison, a larger CV implies more significant variation in the data.

On the other hand, a lower CV indicates less variability in the data. Hence, if the two data sets have substantially different means, the CV should be used to compare their variation. Therefore, the Coefficient of Variation is the best tool for comparing the consistency between two data sets when their means are very different.A word of caution: The CV is only helpful when dealing with ratios or proportions, not when dealing with individual measurements. When dealing with individual measurements, the standard deviation or variance is typically used.

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The highway accident evidence to reject the null hypothesis that the population proportion is equal to 77%.

No, these data do not indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County.

The sample proportion of 15 out of 27 is 56.25%, which is not significantly different from the population proportion of 77%.

The p value for this test is 0.788, which is greater than the alpha level of 0.01.

The p value of this test indicates that the sample proportion of 15 out of 27 (56.25%) is not significantly different from the population proportion of 77%.

This means that there is not enough evidence to reject the null hypothesis that the population proportion is equal to 77%.

The p value of 0.788 is greater than the alpha level of 0.01, meaning that the results of this test are not statistically significant enough to support the alternative hypothesis that the population proportion is less than 77%.

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Answer:

30 movies.

Step-by-step explanation:

Hey! Let's help you with your question here!

Alright, so here's what we know. When we go see a movie, we earn 2 advantage points. We need 100 points to get a free movie pass and we currently have 40 advantage points.

When writing equations like this, we need to know what the fixed values and the variable values are. The variable values are subject to change, where the fixed values, we cannot change.

In this question here, we have 40 advantage points and this is already given to us, so it cannot change. This is our fixed value. What we can change is how many times we can see a movie after that, which will earn us 2 advantage points each time. This will be our variable value.

Now that we've determined our values, let's create the formula! I will be using y to represent the total amount of points and m to represent the amount of movies seen. So, we write it as such:

\(y=2(m)+40\)

We got our formula! Now we have to figure out how many more movies we need to watch to get our free movie pass. Since we know that is the total amount of points that we need to get, we can substitute 100 into y to solve for m which is the number of movies! It would look like this:

\(100=2(m)+40\)

\(60=2(m)\)   - We move 40 over to the left side and subtracted 100 by 40.

\(\frac{60}{2}=\frac{2(m)}{2}\)    - We divide both sides by 2 to get rid of the 2 in front of the m.

\(30=m\)

And there we have it! We would need to see 30 movies in order to get our free movie pass! You can double check this by taking \(y=2(m)+40\) and substitute m with 30 and find y.

Answer:

32.99

Step-by-step explanation:(you might have to round) if you have to round it or.. but this is it because

236.40 divided by 24 is 9.85 so

325 divided by 9.85 is 32.99 (you only need 2 decimal places for these kinds of questions because of repeating decimals).

Hope this helps :)

Answer: B. x = 7

Step-by-step explanation:

2x + 6 = 20

2x = 20 - 6

x = 14/2

x = 7