please help us with this

The probability of selecting all three infielders is relatively low, with only a 1.73% chance of happening.

We can use the formula for probability of an event as the ratio of favorable outcomes to total outcomes. In this case, we want to find the probability that all three selected players are infielders, which means we need to select three infielders from the total number of players.

The total number of ways to select 3 players out of 24 (8 pitchers + 7 infielders + 9 other players) is given by the combination formula:

C(24, 3) = (24!)/(3!21!) = 2024

The number of ways to select 3 infielders out of 7 infielders is given by:

C(7, 3) = (7!)/(3!4!) = 35

Therefore, the probability that all 3 selected players are infielders is:

P(all 3 infielders) = favorable outcomes/total outcomes

= C(7, 3) / C(24, 3)

= 35/2024

= 0.0173 or 1.73%

So, the probability of selecting all three infielders is relatively low, with only a 1.73% chance of happening.

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Donald will have $210 at the end of the year

Given that the principal amount Donald is having at the start of the year is $200 and the rate of interest per annum is 5%.

Since the interest is not compounded, at the end of the year the amount of interest he will be earning = 0.05 x 200 = $10 (since interest is not compounded)

From, the above analysis, Donald is earning $10 of interest per annum from $200.

Now, Total money Donald will be having in 1 year = principal amount + interest earned money = $200 + $10 = $210

From the above solution, we can conclude that Donals is having $210 in total for one year.

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The table that represents a function is the table in which each value of x is mapped to a single value of y.

A relation represents a function if each value of the input is mapped to only one value of the output, that is, one input cannot be mapped to multiple outputs.

For a point in the standard format (x,y), we have that:

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When solving a system of linear equations, the technique you're thinking of is called the "elimination method" or "adding/subtracting method."

Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.

The method you are referring to is known as the "elimination method" or "adding/subtracting method" for solving a system of linear equations.

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According to the data in the table, blue and gold are the two colors most likely to be the school colors of Amarjit's high school.

The table displays the results of a survey in which 600 students were asked to choose their school colors. Out of the six options presented, blue was the most popular choice with 210 students selecting it, while gold was the second most popular with 180 students selecting it. While other colors were also selected, none of them were chosen by more than 100 students, making it unlikely that they would be the primary school colors. However, it is important to note that there may be other factors that influence the selection of school colors, such as tradition or community preferences, which are not reflected in the survey data.

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Based on the data in the table, which two colors are most likely the school colors of Amarjit's high school?

The interval that corresponds to the smallest area under a Normal curve is option D, μ - σ to Q3. This is because it covers only one standard deviation below the mean (μ - σ) and a smaller portion of the upper tail (up to Q3) compared to the other options. Smaller intervals generally correspond to smaller areas under the curve.

The interval that corresponds to the smallest area under a Normal curve is option D, μ - σ to Q3. This is because it covers only one standard deviation below the mean (μ - σ) and a smaller portion of the upper tail (up to Q3) compared to the other options. Smaller intervals generally correspond to smaller areas under the curve. Normal distributions are important in statistics and are often used in the natural and social sciences to represent real-valued random variables whose distributions are not known. Their importance is partly due to the central limit theorem. It states that, under some conditions, the average of many samples (observations) of a random variable with finite mean and variance is itself a random variable whose distribution converges to a normal distribution as the number of samples increases. Therefore, physical quantities that are expected to be the sum of many independent processes, such as measurement errors, often have distributions that are nearly normal.

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Answer: you have to multiply by ft2 x 250 = the answer is 23.22576 divide by 1.45161 and this is your real answer = 89.16

Step-by-step explanation: you have to do what i told you to do above of me

Answer: 24 - Rectangle 1

Step-by-step explanation:

The two Rectangle 1's are the top and bottom rectangles. To find the area of a rectangle, you have to multiply length x width. You know that the bottom rectangle is identical to the top rectangle, so by solving for the bottom rectangle, we solve for the top!

The length of this rectangle at the bottom is 8, and the width is 3. 8 x 3 = 24. The area of the bottom and top rectangles (1) are 24.

The question wants you to multiply one rectangle with an area of 24 feet squared by 2, because there are two of the same rectangles (top and bottom). 24 x 2 = 42. The total area of the top and bottom rectangles is 42 square feet.

You can do the same with the other rectangles. Using length x width = area, you can then multiply that times two to get the area of two of the same rectangles. Here's one more example from the problem:

The largest rectangle from the rectangular prism is facing the front, the other is facing the back. The length of these two rectangles is 15, the width is 8.

length x width = area
15 x 8 = area

120 square feet = area

Now, multiply that by 2 and you get the area of both of the same rectangles. 240 square feet.

Now we have Rectangle 1 (x2) = 42, and another Rectangle (2 or 3) (x2) = 240. Now, all you have to do is find the area of the rectangle with the length of 15 and the width of three and multiply it by two to find the areas of all the triangles. Then, save all three answers: 42, 240, and the other answer. Then, add 42, 240, and the other answer together to get the Total Surface Area. Good luck!

The expression that gives the area vector for a patch on the left face can be found using the cross product of the edge vectors on that face. In order to obtain the area vector, we need:

1. Identify the left face of the object.
2. Determine two edge vectors on the left face by subtracting the coordinates of their corresponding points. Let these edge vectors be A and B.
3. Calculate the cross product of vectors A and B, denoted as A x B. This will give you the area vector for the patch on the left face.

4. If needed, calculate the magnitude of the area vector to obtain the area of the patch.

By using the cross product of the edge vectors, you can find the area vector for a patch on the left face of an object. The cross product results in a vector that is perpendicular to the plane of the two input vectors, and its magnitude represents the area of the parallelogram formed by the two vectors. This area vector is useful in various applications, such as calculating surface integrals and determining the orientation of a face in 3D space.

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The probability of choosing a red marble followed by two blue marbles from the jar is 0.137 or approximately 13.7%.

The probability of choosing a red marble followed by two blue marbles from a jar containing 7 red, 5 green, 10 blue, and 3 yellow marbles.
To solve this problem, we need to first calculate the total number of possible ways to choose three marbles from the jar.

This is given by the combination formula:
nCr = n! / (r!(n-r)!)
Where n is the total number of marbles in the jar, and r is the number of marbles we want to choose.
Using this formula, we can find that the total number of ways to choose three marbles from the jar is:
nCr = 25! / (3!22!) = 2300
Next, we need to calculate the number of ways to choose a red marble followed by two blue marbles.

We can do this by using the multiplication principle of counting:
Number of ways to choose a red marble = 7
Number of ways to choose two blue marbles = 10C2 = 45
Total number of ways to choose a red marble followed by two blue marbles = 7 * 45 = 315
Finally, we can calculate the probability of choosing a red marble followed by two blue marbles by dividing the number of ways to choose a red marble followed by two blue marbles by the total number of possible ways to choose three marbles from the jar:
P(red, blue, blue) = 315 / 2300 = 0.137
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Based on the limited information, it can be deduced that 1/5 of the ribbon is not in view.

In order to show the complete ribbon, we need to understand that in mathematical terms:

Since 4/5 of the ribbon is showing

This means that about 1- 4/5

= 1/5 of the ribbon is not in view.

With this knowledge, you can go ahead to complete your drawing, knowing that a full ribbon has a rectangular shape.

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Answer:

x = 5 or -6

Step-by-step explanation:

We can find the zeros of the function:

[tex]y=x^2+x-30[/tex]

by setting y to 0, then solving for x.

To do this, we need to factor the right side of the equation.

[tex]0=x^2+x-30[/tex]

[tex]0=(x + 6)(x - 5)[/tex]

We can see that (x + 6) and (x - 5) are the two parts of this factorization because 6 and -5 add to 1 (which is the coefficient of the middle term), and they multiply to -30 (the constant term).

From this factored form, we can split the equation into two because we know that:

IF [tex]ab = 0[/tex],

THEN [tex]a=0[/tex]  OR  [tex]b=0[/tex]

So, we can solve for x in the following two equations:

[tex]x + 6 = 0[/tex]             [tex]x - 5 = 0[/tex]

[tex]\boxed{x = -6}[/tex]    OR   [tex]\boxed{x = 5}[/tex]

__

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let firstly convert the mixed fraction to improper fraction, then get their product.

[tex]\stackrel{mixed}{1\frac{1}{2}}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3}{2}\cdot \cfrac{2}{3}\implies 1\qquad \textit{one whole pizza}[/tex]

a. $3,000

b. < than 22 months

c. $3,222.72

From the quote that says "So, just think -- you can walk away with this $3,000 TV set for a little over one hundred dollars a month', we can deduce from it that the company original price for the TV is $3,000. Hence, Frank will need to pay $3,000 for the TV if he had money saved to pay for it today.

Monthly payment for the TV credit = $134

The Original TV cost = $3000.

The number of months to make monthly payments will be more than:

= $3,000 / $134

= 22.3880597015

= 22 months.

If we assume a rental period of 24 months, Frank would pay a total of:

= 24 month x $134.28

= $3,222.72

So, this is more than the cash price of $3,000.

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The answers are explained in the solution.

Given that, a bus and a car have speed of 100km/hr and 120km/hr.

They are covering a distance of 340 km, they started travelling at 7:00 am,

Speed = distance / time

A) Bus travelled in 30 minutes = 100 × 0.5 = 20 km

After 30 minutes = 100 × 0.5 = 20 km

Total distance by bus in 1 hour = 40 km

Car covered in 30 minutes = 120 × 0.5 = 60 km

Distance between them = 60-40 = 20 km

Relative speed = 120-100 = 20 km/h

Time to catch up = 20/20 = 1 hour

Distance from Nairobi = 60 + (1 × 120) = 180 km

Therefore, the car catches up with the bus 180 km from Nairobi,

B) Time taken = 30 + 30 + 1 = 2 hours.

7:00am + 2 hours = 9:00 am

C) Time taken by bus to reach the destination = 340 / 100

= 3.4 hours

Hence, bus took 3.4 hours to reach the destination.

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Answer:

Order from greatest to least: 25, 24, 23, 2 1/2

Step-by-step explanation:

Numbers: 23, 24, 25, 2 1/2

2 1/2 = 5/2 = 2.5

Order from greatest to least: 25, 24, 23, 2 1/2

After substituting the given coordinate in the flux equation, the resulting flux dΦ through the patch can be expressed in terms of dA as dΦ = E⋅dA⋅cosθ

Here, E represents the electric field intensity, dA is the area of the patch, and cosθ is the angle between the normal vector of the patch and the electric field lines passing through it.The term dA represents the differential area of the patch and is used to calculate the total flux through the entire surface by integrating over the entire area. This integration process adds up the contributions of all the small patches of the surface.

Therefore, the flux through any small patch of the surface can be calculated using the above equation by substituting the appropriate values of E, dA, and cosθ. This formula is particularly useful in calculating the flux through curved surfaces or irregularly shaped patches.In summary, after substituting the given coordinate, the flux dΦ through the patch can be expressed in terms of dA using the formula dΦ = E⋅dA⋅cosθ, which helps in determining the total flux through the entire surface.

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The answer is A. PU(QU R) = {2, 4, 7, 8, 9, 11, 12, 13, 15}.

To find PU (QU R), we first need to find QU R, which means we need to take the union of Q and R and then find the union of that set with P.

Q U R = {2, 4, 7, 8, 11}

PU(QU R) = P U (Q U R) = {9, 12, 13, 15} U {2, 4, 7, 8, 11} = {2, 4, 7, 8, 9, 11, 12, 13, 15}

Therefore, the answer is A. PU(QU R) = {2, 4, 7, 8, 9, 11, 12, 13, 15}.

Note that the order of the sets does not matter when taking the union, and any repeated elements are counted only once in the final set.

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Answer:

a= 5.7

Step-by-step explanation:

Ok, when solving problems like this, it is important to do it step by step to minimize any mistakes.

Original Equation:

[tex]\frac{10a}{3} -1.5=17.5[/tex]

Then we add 1.5 to both sides

[tex]\frac{10a}{3} -1.5+1.5=17.5+1.5[/tex]

Simplify:

[tex]\frac{10a}{3}=19[/tex]

Multiply both sides by 3 to get rid of the denominator in the left side.

[tex]\frac{10a}{3} *3 = 19*3[/tex]

Simplify:

[tex]10a=57[/tex]

Divide both sides by 10 to isolate a

[tex]a = 5.7[/tex]

We can check our answer by plugging our value into the original equation!

Original equation:

[tex]\frac{10a}{3}-1.5=17.5[/tex]

New equation:

[tex]\frac{10(5.7)}{3}-1.5=17.5[/tex]

Multiply the numerator:

[tex]\frac{57}{3}-1.5=17.5[/tex]

Divide the fraction:

[tex]19-1.5= 17.5[/tex]

Subtract:

[tex]17.5=17.5[/tex]

as you can see, the values on both sides of the equation match.

So, a = 5.7

This is a false statement because y-coordinates are different.

In mathematics, an ordered pair is a pair of elements, usually written in the form (x,y), where x and y are two values that are related in some way. In the case of (8,8), this represents an ordered pair where the value of x is 8 and the value of y is 8.

On the other hand, (9-1, 6+3) can be simplified using basic arithmetic operations. We first evaluate the expressions inside the parentheses, 9-1 and 6+3, which give us 8 and 9 respectively. Then we combine them into an ordered pair to get (8,9).

When we compare the two ordered pairs, we can see that the x-coordinates are the same, but the y-coordinates are different. Therefore, (8,8) is not equal to (9-1,6+3) and the statement "True or False(8,8) = (9-1,6+3)" is false.

Let's evaluate each side of the equation separately:

(8,8) represents an ordered pair with 8 as the x-coordinate and 8 as the y-coordinate.

(9-1, 6+3) evaluates to (8,9), since 9-1 = 8 and 6+3 = 9.

So we have:

(8,8) = (8,9)

This is a false statement, since the y-coordinates are different. Therefore, the answer is False.

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For any rational numbers r and s, 2r + 3s is rational. This is a corollary of Theorem 4.3.2.

Since r and s are rational numbers, they can be expressed as a ratio of integers:

r = a/b

s = c/d

where a, b, c, and d are integers and d and b are nonzero.

Then,

2r + 3s = 2(a/b) + 3(c/d)

= (2ad + 3bc)/(bd)

Since the product and sum of any two integers is also an integer, we know that 2ad and 3bc are integers. Thus, the numerator is the sum of two integers, which means it is also an integer. The denominator is the product of two nonzero integers, which means it is also nonzero. Therefore, 2r + 3s is a ratio of integers, and hence it is a rational number.

Therefore, for any rational numbers r and s, 2r + 3s is rational. This is a corollary of Theorem 4.3.2.

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Answer:

Dependent

Step-by-step explanation:

This event is dependent, because the probability of grabbing a second shoe depends on whether or not you've already grabbed a shoe. If you haven't grabbed a shoe yet, the probability of grabbing a second shoe is zero. If you have already grabbed a shoe, the probability of grabbing a second shoe is 1 (assuming you have at least two shoes in your closet).

The value of the angle m∠EFA is:  127.5°

A parallelogram is defined as a quadrilateral that has its opposite sides parallel and equal to each other. It has its interior opposite angles equal. Also, the angles on the same side of the transversal sum up to 180 degrees or are supplementary to each other.

Since the figure is a parallelogram, it means that:

DC║AB

Thus:

m∠B = 75°

m∠DCB = 180° - 75°

m∠DCB = 105°

CF bisects ∠DCB
Thus:

m∠DCF = m∠FCB = ¹/₂ * 105° = 52.5°

Thus:

m∠EFA = 180° - 52.5°

m∠EFA = 127.5°

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The average rate of change in dollars per year from 10 to 30 years is: 1. 33.5.

In Mathematics, the average rate of change of f(x) on a closed interval [a, b] is given by this mathematical expression:

Average rate of change = [f(b) - f(a)]/(b - a)

Next, we would determine the average rate of change of the function g(t) over the interval [10, 30]:

a = 10; f(a) = 562.49

b = 30; f(b) = 1232.49

Substituting the given parameters into the average rate of change formula, we have the following;

Average rate of change = (1232.49 - 562.49)/(30 - 10)

Average rate of change = 670/20

Average rate of change = 33.5.

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The length of the arc with a central angle of 30 degrees and radius 4 inches is 2.09 units

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

central angle = 30 degrees

Radius = 4 units

Using the above as a guide, we have the following:

Length of arc = central angle/360 * 2 * 3.14 * Radius

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

Length of arc = 30/360 * 2 * 3.14 * 4

Evaluate

Length of arc = 2.09

Hence, the length of the arc is 2.09 units

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The dependent measures of the study were the number of parts produced and accuracy, which were used to assess the effects of the 1988 heat wave on worker productivity.

Based on the information provided, the study described represents a between-subjects design.

This is because the 48 machinists were randomly assigned to two different groups, with one group being tested at a cool room temperature and the other group being tested at a hot room temperature.

Each group was then measured using dependent measures of number of parts produced and accuracy.
A between-subjects design is a type of experimental design where different groups of participants are assigned to different conditions or treatments, and the outcomes are compared between these groups.

In this case, the two groups of machinists were assigned to different room temperatures and their productivity and accuracy were measured.

The use of dependent measures also suggests that this study was experimental in nature, meaning that the researchers were manipulating the independent variable (room temperature) in order to see how it affected the dependent variables (number of parts produced and accuracy).

Overall, this study used a between-subjects experimental design to test the effects of the 1988 heat wave on worker productivity, by randomly assigning machinists to different room temperatures and measuring their productivity and accuracy using dependent measures.

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The equation of the scatter plot is given by the curve fitting of parabola equation y = -3.54x² + 41.7x + 73

Given data ,

Let the cleaning company models its profits be plotted on the graph

where the points are given by

A ( 1 , 100 ) , B ( 2 , 175 ) , C ( 3 , 150 ) , D ( 3 , 175 ) , E ( 5 , 175 ) , F ( 6 , 225 ) , G ( 7 , 175 ) , H ( 8 , 200 ) , I ( 9 , 150 )

Using the curve fitting model , we can plot the graph as

y = -3.54x² + 41.7x + 73

Hence , the equation of graph is y = -3.54x² + 41.7x + 73

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The complete question is attached below :

A cleaning company models its profits on the graph.

p(t)

Profit ($ thousands)

The number of F ratios which calculated in a 3 way ANOVA is 7.

So, the correct answer is C.

In a three-way ANOVA, which involves three independent variables, a total of 7 F ratios are calculated.

This includes the main effect of each independent variable (3 F ratios), the two-way interactions between the independent variables (3 F ratios), and the three-way interaction between all three independent variables (1 F ratio).

Thus, the correct answer is c. 7 F ratios.

These F ratios help in determining the significance of each factor and interaction effect on the dependent variable in the analysis.

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According to Dr. Greg Tuggle's model, after 14 days, there are predicted to be approximately 29.35 (or about 29) infected people.

The formula f(x) = (2.025)x + 1 represents the predicted number of infected people as a function of the number of days since a particular strain of COVID was found.

To find how many people are infected after 14 days, we need to evaluate the function f(x) at x = 14:

f(14) = (2.025)14 + 1

f(14) = 28.35 + 1

f(14) = 29.35

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The solution set of a homogeneous system of 18 linear equations in 20 variables lies in the null space of the coefficient matrix.

To know that every associated nonhomogeneous equation has a solution, we need to ensure that the homogeneous system has a nontrivial solution.

This means that we need to know whether the rank of the coefficient matrix of the homogeneous system is less than the number of variables, i.e., whether there exist free variables.

If the rank is less than the number of variables, then there are infinitely many solutions to the homogeneous system, and thus every associated nonhomogeneous equation has a solution.

However,

We also need to ensure that the particular solution to the nonhomogeneous equation does not lie in the null space of the coefficient matrix.

This is equivalent to checking whether the null space of the coefficient matrix is orthogonal to the vector on the right-hand side of the nonhomogeneous equation.

If it is, then the nonhomogeneous equation has a solution.

So, in summary, to know that every associated nonhomogeneous equation has a solution.

We need to know whether the rank of the coefficient matrix of the homogeneous system is less than the number of variables, and we need to check whether the particular solution lies in the null space of the coefficient matrix.

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Gender is the independent variable (IV) and Galvanic Skin Response (GSR) is the dependent variable (DV). This means that you are investigating how differences in gender might affect the GSR.

So, the correct is A. Gender: GSR

Gender, as the IV, refers to the classification of individuals as male, female, or other, while GSR, as the DV, is a physiological measure of emotional arousal, often used in psychological research.

By examining the relationship between these two variables, you aim to determine whether variations in gender have any impact on GSR levels.

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