Urgent please help..

The distribution over the random variable x, which denotes the number of kids in between Izzy and Lizzy in line, is given by option c: (2, 1/6), (1, 1/2), (0, 1/3).

This means that there is a 1/6 probability that there are two kids between Izzy and Lizzy, a 1/2 probability that there is one kid between them, and a 1/3 probability that there are no kids between them.

To determine the distribution over x, we consider the possible arrangements of Izzy (I) and Lizzy (L) along with the other two kids (A and B). Let's examine the possible scenarios:

1. Two kids between Izzy and Lizzy: The order can be either IABL or LIAB. Since there are two possible arrangements, the probability is 1/6.

2. One kid between Izzy and Lizzy: The order can be either IALB or LIBA. Again, there are two possible arrangements, resulting in a probability of 1/2.

3. No kids between Izzy and Lizzy: The order can be either ILAB or LIAB. With two possible arrangements, the probability is 1/3.

Combining these probabilities, we get the distribution over x as: (2, 1/6), (1, 1/2), (0, 1/3), which corresponds to option c. Therefore, option c is the correct answer for the distribution of x.

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By multiplying different natural numbers to the numerator and denominator of the given ratio 4:5, we find out that the set of ratios equivalent to the ratio 4:5 are 8:10 and 12:15.

The given ratio is 4:5.

Let us first rewrite this ratio in the form of fraction. This implies that -

\(4:5=\frac{4}{5}\)  -----(1)

We need to find out the set of ratios which is equivalent to 4:5.

In order to find the set of ratios equivalent to 4:5 we need to multiply the numerator and denominator in equation (1) with natural numbers such as 2,3,4, and so on to obtain equivalent fractions of 4/5. These will be the equivalent ratios of 4:5.

Now, firstly multiplying the numerator and denominator of 4/5 with 2 individually, we get

\(\frac{4}{5}\\ =\frac{4*2}{5*2}\\ =\frac{8}{10}\)----(2)

Similarly, multiplying the numerator and denominator of 4/5 with 3 individually, we get

\(\frac{4}{5}\\ =\frac{4*3}{5*3}\\ =\frac{12}{15}\)-----(3)

We can continue to multiply different natural numbers to the numerator and denominator of 4/5 and obtain several set of ratios equivalent to 4:5.

Thus, from equation (2) and (3), we find out that the set of ratios equivalent to 4:5 are 8:10 and 12:15. This is obtained by multiplying natural numbers to the numerator and denominator of the given ratio 4:5.

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To test if there is a difference between the means of the two populations, we can perform a two-sample t-test. The null hypothesis is that there is no difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities.

Let's assume that the researcher has collected the following data:

Sample of families with no children: n1 = 30, sample mean = 4.5 hours per week, sample standard deviation = 1.2 hours per week.

Sample of families with children: n2 = 40, sample mean = 3.8 hours per week, sample standard deviation = 1.5 hours per week.

Using the critical value method, we need to calculate the t-statistic and compare it to the critical value from the t-distribution table with n1+n2-2 degrees of freedom and a significance level of α = 0.05.

The formula for the t-statistic is:

t = (x1 - x2) / sqrt(s1^2/n1 + s2^2/n2)

where x1 and x2 are the sample means, s1 and s2 are the sample standard deviations, and n1 and n2 are the sample sizes.

Plugging in the numbers, we get:

t = (4.5 - 3.8) / sqrt((1.2^2/30) + (1.5^2/40)) = 2.08

The degrees of freedom for the t-distribution is df = n1 + n2 - 2 = 68.

Using a t-distribution table, we find the critical value for a two-tailed test with α = 0.05 and df = 68 is ±1.997.

Since our calculated t-statistic of 2.08 is greater than the critical value of 1.997, we can reject the null hypothesis and conclude that there is a statistically significant difference between the mean number of hours per week that a family with no children participates in recreational activities and a family with children participates in recreational activities.

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The quadrilateral in the picture is a square since all four sides are equal.

The angles are all equal and all are right angles.

Clearly, the quadrilateral is a square.

Answer:

They both have the same slope of 2. Their y-intercepts are different. One is -2 and the other is -3/2.

Step-by-step explanation:

4x-2y=4

4x - 4 = 2y

(divide 2 by both sides)

2x-2=y

-4x+2y=-3

2y=4x-3

(divide 2 both sides)

y = 2x - 3/2

∠1 and ∠2 are right angles because the measure of both angles is 90 and supplementary angles because the sum of both angles is 180°.

Triangle is a polygon that has three sides and three angles and the sum of the angle of the triangle is 180 degrees.

The figure is attached in the picture, please refer to the attached picture.

Given that:

An Angle in the figure is a right angle.

Its measure = 90°

So,∠2 = 90° ( vertically opposite angles are equal )

∠1 + ∠2 = 180° ( Linear Pair )

∠1 = 180 - 90

∠1 = 90°

∠1 = ∠2 = 90°

So, ∠1 and ∠2 are right angles because measure of both angles is 90°.

Adjacent angles because both a common arm and a common vertex.

Thus, ∠1 and ∠2 are right angles because the measure of both angles is 90 and supplementary angles because the sum of both angles is 180°.

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The absolute maximum value is 5 at x = 3/2 and the absolute minimum value is 4, which occurs at both x = 1 and x = 2.

To find the absolute maximum and minimum values of the function f(x) = -4x^2 + 12x - 4 on the interval [1, 2], we need to check the critical points and the endpoints of the interval.

First, let's find the critical points by taking the derivative of the function:

f'(x) = -8x + 12

To find the critical points, set f'(x) to 0 and solve for x:

-8x + 12 = 0
x = 3/2

Now, we have 3 points to check: x = 1, x = 3/2, and x = 2.

Evaluate the function at each point:

f(1) = -4(1)^2 + 12(1) - 4 = -4 + 12 - 4 = 4
f(3/2) = -4(3/2)^2 + 12(3/2) - 4 = -9 + 18 - 4 = 5
f(2) = -4(2)^2 + 12(2) - 4 = -16 + 24 - 4 = 4

Comparing the function values at these points, we find that the absolute maximum value is 5 at x = 3/2 and the absolute minimum value is 4, which occurs at both x = 1 and x = 2.

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Answer:

The absolute maximum value is 5 at x = 3/2 and the absolute minimum value is 4, which occurs at both x = 1 and x = 2.

To find the absolute maximum and minimum values of the function f(x) = -4x^2 + 12x - 4 on the interval [1, 2], we need to check the critical points and the endpoints of the interval.

First, let's find the critical points by taking the derivative of the function:

f'(x) = -8x + 12

To find the critical points, set f'(x) to 0 and solve for x:

-8x + 12 = 0

x = 3/2

Now, we have 3 points to check: x = 1, x = 3/2, and x = 2.

Evaluate the function at each point:

f(1) = -4(1)^2 + 12(1) - 4 = -4 + 12 - 4 = 4

f(3/2) = -4(3/2)^2 + 12(3/2) - 4 = -9 + 18 - 4 = 5

f(2) = -4(2)^2 + 12(2) - 4 = -16 + 24 - 4 = 4

Comparing the function values at these points, we find that the absolute maximum value is 5 at x = 3/2 and the absolute minimum value is 4, which occurs at both x = 1 and x = 2.

Step-by-step explanation:

Igor has not been skiing in 10 years. however, when he gets on his skis, his body remembers exactly how to ski. the kind of memory that makes it possible for him to remember how to ski is procedural.

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Answer:

0.125

Step-by-step explanation:

2 * 0.125 = 0.25 (or 1/4)

Answer:

0.125

Step-by-step explanation:

I think not really good at it

the correct answer is C. Parallel.

To find an equation of the line with slope m that passes through the point (-5, 0), we can use the point-slope form of a linear equation, which is y - y₁ = m(x - x₁), where (x₁, y₁) is the given point and m is the slope.

Substituting the given values into the equation, we have:

y - 0 = m(x - (-5))

y = m(x + 5)

To write the equation in the form Ax + By = C, we need to rearrange the equation:

y = mx + 5m

-mx + y = 5m

Comparing the equation to the form Ax + By = C, we can see that A = -1, B = 1, and C = 5m.

Therefore, the equation of the line with slope m that passes through the point (-5, 0) is -x + y = 5m.

To determine whether the pair of lines 5x = 7y + 5 and -10x + 14y = 5 are parallel, perpendicular, or neither, we can compare their slopes.

The first equation can be rewritten in slope-intercept form as y = (5/7)x - 1, and its slope is 5/7.

The second equation can also be rewritten in slope-intercept form as y = (10/14)x + 5/14, which simplifies to y = (5/7)x + 5/14. The slope of this equation is also 5/7.

Since the slopes of both equations are equal, the pair of lines is parallel.

Therefore, the correct answer is C. Parallel.

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Applying the theorem of the centroid of a triangle, the sum of the lengths of the medians of SKB is 10.5

Given:

Triangle SKB is shown with centroid point W where SW = 6.8 WM = 3.6 and WK = 5.4.

Based on the centroid theorem of a triangle, thus:

BM = 2/3 of WM

Which is:

BM = 2/3 of 3.6

BM = 2.4

Similarly;

SL = 4.5

RK = 3.6

Then the sum of the lengths of the medians of SKB is;

2.4 + 4.5 + 3.6

= 10.5

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Answer:

i need a pic of the graph to tell you the answer

Step-by-step explanation:

Answer:

The approximate age of the bone is approximately 11552 years.

Step-by-step explanation:

The current proportion of carbon-14 with respect to its original amount is defined by following formula:

\(\frac{y}{a} = e^{-0.00012\cdot t}\) (1)

Where:

\(y\) - Current amount of carbon-14, no unit.

\(a\) - Initial amount of carbon-14, no unit.

\(t\) - Time, in years.

If we know that \(\frac{y}{a} = 0.25\), then the approximate age of the bone is:

\(t = -8333.333\cdot \ln \frac{y}{a}\)

\(t\approx 11552.453\,yr\)

The approximate age of the bone is approximately 11552 years.

Answer:

Step-by-step explanation:

1/5 is the same as 5^(-1),

so (1/5)^4=5^(-4)

as we know,

when you multiply the bases, you add the exponents

when you divide the bases, you subtract the exponents

when you simplify a term with and exponent with another exponent, you multiply them

so,

a)

(5^(-2))^2=5^(-2*2)=5^(-4)

b)

(5^(-4))^0=5^(-4*0)=5^0

c)

5^(1)/5^(4)=5^(1-4)=5^(-3)

d)

5^(2)*5^(-6)=5^(2-6)=5^(-4)

The two answers are A and D

The expression that is equivalent to 1/5 x 1/5 x 1/5 x 1/5 is

\((5^{-2})^2\)

Option A is the correct answer.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

1/5 x 1/5 x 1/5 x 1/5

= 1/\(5^4\)

Now,

\((5^{-2})^2\)

= \(5^{-4}\)

= 1/\(5^4\)

\((5^{-4})^0\)

= \(5^0\)

= 1

\(\frac{5^1}{5^4}\)

= 5/\(5^4\)

= 1/5³

\(5^4~ . ~5^{-4}\)

= \(5^{4 -4}\)

= \(5^0\)

= 1

Thus,

\((5^{-2})^2\) is equivalent to 1/5 x 1/5 x 1/5 x 1/5.

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Answer:

(x+2)(2x+7) is the answer I think

Answer: (x +2)(2x+7)

Step-by-step explanation:

2x^2+11x+14

2x^2+7x+4x+14

Common factor from the two pairs:

(2x^2+7x) + (4x+14)

x(2x+7) +2(2x+7)

Rewrite in factorised form:

x(2x+7)+2(2x+7)

(x+2)(2x+7)

Answer:

C 4/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

O A. y= -2x - 1

O B. y= -2x + 1

O C. y= 1/2x + 1

O D. y= 2x - 1

Answer:

Geometry! Nice!

Step-by-step explanation:

This is very simple. In a nutshell, base angles in a isosceles triangle are equal.

Thus:

\(3x+2=5x-30\)

Time to solve!

\(32=2x\\x=16\)

Now that we have found the x-value, all we need to do is input it back in for one of the angles.

\(3(16)+2\\48+2\\50\)

Moving on, there is a rule in geometry that states that the sum of all angles in triangles is equal to 180, no matter what.

All that has to be done is just multiply 50 by 2, add y in for our third angle, and set that equal to 180.

\(2(50)+y=180\\y=80\)

After all that, the measure of the third angle in the triangle is 80 degrees (make sure to include degrees in your answer).

Stay safe, and wear a mask!

The relative frequency of heads is reasonably close to 40%.Mr. Clark's claim about the theoretical probability is likely to be false. This means that the theoretical probability of tails is most likely 0.60.

The relative frequency is the ratio of the number of times an event occurred to the total number of trials. In this case, the relative frequency of heads is 0.38 and tails is 0.62.The theoretical probability of an event is the number of favorable outcomes divided by the total number of possible outcomes.

Here, Mr. Clark claims that the coin is weighted so that the probability of heads is 40%. Therefore, the theoretical probability of heads is 0.40.However, the relative frequency of heads after 200 trials is only 0.38, which is reasonably close to 0.40. Hence, the relative frequency of heads is reasonably close to 40%.

Mr. Clark's claim about the theoretical probability of heads is likely to be false because the relative frequency of heads is less than the theoretical probability of heads (0.38 < 0.40).Therefore, the theoretical probability of tails is 1 - 0.40 = 0.60 because the coin is fair, so the probabilities of heads and tails should add up to 1. Thus, the theoretical probability of tails is most likely 0.60.

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To find the value of the line integral ∮ (2xy - x^2)dx + (x + y^2)dy over the curve C enclosed by y = x^2 and y^2 = x, we need to evaluate the integral.

The given options are 77/30, 1/30, 7/30, and 11/30. We will determine the correct value using the properties of line integrals and the parametrization of the curve C.

We can parametrize the curve C as follows:

x = t^2

y = t

where t ranges from 0 to 1. Differentiating the parametric equations with respect to t, we get dx = 2t dt and dy = dt.

Substituting these expressions into the line integral, we have:

∮ (2xy - x^2)dx + (x + y^2)dy = ∫(0 to 1) [(2t^3)(2t dt) - (t^2)^2)(2t dt) + (t^2 + t^2)(dt)]

= ∫(0 to 1) [4t^4 - 4t^4 + 2t^2 dt]

= ∫(0 to 1) [2t^2 dt]

= [2(t^3)/3] evaluated from 0 to 1

= 2/3.

Therefore, the correct value of the line integral is 2/3, which is not among the given options.

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\(\frac{1}{2}q = - 24\\q = - 24 * 2\\q = - 48\)

Answer:

The answer is q= -48

Step-by-step explanation:

The steps to solve are:

Combine multiplied terms into a single fraction.

Next, multiply by one.

Then, eliminate common denominators.

After that, cancel multiplied terms that are in the denominator.

Finally multiply the numbers.

The sum of 1,400 and 3,000 is 4,400. Can I enter negative numbers and decimals.

When entering a numeric answer, you may encounter different settings such as within the body of a paragraph or a table. To understand how numeric entry works, let's break down the provided information.

The statement mentions completing a table to observe how decimals and negative numbers function. This implies that you will be performing calculations using decimals and negative numbers and recording the results in a table.

To determine if your answers are correct, after submitting your responses for a particular problem, each individual answer will be marked either correct with a green check or incorrect with a red X. You can select the entry field to reveal the correct answer, and selecting it again will hide it.

The statement also discusses whether entering "20,000,000" is the same as entering "20 million." It is important to pay attention to the instructions given in the problem to ensure the correct format for your answer.

In this case, the question aims to assess your understanding of the format by specifically mentioning giving your answer in a paragraph. So, entering "20,000,000" would be the correct format.

If the space provided for entering your answer is insufficient or doesn't accommodate decimal values, carefully review the instructions to ensure you are entering the number correctly. Adjust your approach accordingly, considering the space and format requirements.

Regarding in-line units, you are required to complete a statement that demonstrates your understanding of them. This likely involves performing calculations involving units and providing the resulting value with the appropriate unit.

Currency symbols are not necessary when entering answers. If a question involves currency and decimals, you can enter the numerical value without including the currency symbol. The statement asks you to demonstrate your understanding of how currency works.

Finally, percentages are mentioned, and you are instructed to complete a statement involving them. Keep in mind that when a percentage symbol (%) is required, it will automatically appear alongside your numeric entry after you exit the numerical input field.

To summarize, the explanation covers various aspects of numeric entry, including negative numbers, decimals, correctness assessment, table completion, fitting answers within given spaces, in-line units, currency, and percentages.

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Answer:

x=-8, x=0

Step-by-step explanation:

Answer: Domain: (-∞, 0) U (0, ∞)

Step-by-step explanation:

\(\frac{12}{x} *-8x^{3}\)

\(=-96x^2\)

Domain: (-∞, 0) U (0, ∞)

The x-intercept in a graph is the data found on the horizontal line,

Interpreting the data based on the x-intercept, it means that it took 40 years for the flower to disappear from the forest.

Therefore, the answer is the 1st option.

The area of the polygon in the question is: option B - 59 square inches.

Marcus needs to calculate the area of the home plate at the ball field so he can reconstruct it when he gets home. He wants to create a home plate for his house. The figure is in the form of a polygon. In order to calculate the area of the polygon, we must first determine the dimensions of the polygon. The figure is made up of two triangles and a square. Pentagon with a square measuring 7 inches by 4 inches and two triangles with heights of 6 inches and 5 inches. The area of a polygon can be found by adding the areas of its individual parts. As a result, we must first determine the area of the square and then the areas of the two triangles. After we've found all of the individual areas, we can add them together to get the polygon's overall area. Given that the square is 7 by 4 inches, the area of the square is calculated as:

7*4 = 28 square inches.

For triangles, area = (1/2) base x height.

Since we only have the height of the triangles, we must first determine the length of their bases. To accomplish so, we must subtract the length of the square from the length of the polygon, which is 6 + 5 = 11 inches.

As a result, the base of the triangle is equal to 11 - 4 = 7 inches for the first triangle and 11 - 7 = 4 inches for the second triangle.

The first triangle's area is 1/2 * 6 * 7 = 21 square inches, while the second triangle's area is 1/2 * 5 * 4 = 10 square inches.

As a result, the area of the polygon is the sum of the areas of the square and the two triangles, or

28 + 21 + 10 = 59 square inches.

Therefore, the correct answer is option B.

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Answer:

bro I'm so confused is this a trick ?

Answer:

Midnight will eat 1 more cup of dog food per day than Rusty.

Step-by-step explanation:

Rusty:

Midnight eats 28 cups / 7 days = 4 cups of dog food per day.

Midnight will eat 4 - 3 = 1 more cup of dog food per day than Rusty.

Answer:

Choose two of the following 3: <G, <EGF, <FGE

Step-by-step explanation:

There are 3 ways to name that angle.

Choose any two of the following three:

<G, <EGF, <FGE