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To select a 7-member team consisting of 3 boys and 4 girls out of 9 girls and 5 boys , there are 1260 ways.

To find the number of ways to select a 7-member team consisting of 3 boys and 4 girls out of 9 girls and 5 boys, you can use the formula for combinations:

C(n, k) = n! / (k! * (n - k)!)

where n is the total number of items (9 girls and 5 boys), k is the number of items to be selected (3 boys and 4 girls), and ! represents the factorial function.

So, the number of ways to select 3 boys out of 5 boys is:

C(5, 3) = 5! / (3! * (5 - 3)!) = 5! / (3! * 2!) = 10

And the number of ways to select 4 girls out of 9 girls is:

C(9, 4) = 9! / (4! * (9 - 4)!) = 9! / (4! * 5!) = 126

Finally, the number of ways to select a team of 7 members consisting of 3 boys and 4 girls is:

C(14, 7) = 10 * 126 = 1260

So, there are 1260 ways to select a 7-member team consisting of 3 boys and 4 girls out of 9 girls and 5 boys.

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If the player wants to emphasize that his team generally scored a lot of points, it might be best to report the median.

The median and the mean are both measures of center in statistics. They help to describe where the center of the data set is located, but they are not the same thing.

The mean is calculated by adding up all the values in the data set and then dividing by the number of values. It gives a good overall picture of the average of the data set, but it is sensitive to outliers or extreme values.

On the other hand, the median is the middle value in a data set when the values are arranged in order.

To find the median, you must first arrange the values in order and then identify the middle value. If there are an even number of values, the median is the average of the two middle values.

The median is not as sensitive to outliers or extreme values as the mean, so it gives a more accurate picture of the center of the data set when there are outliers or extreme values.

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The solution is, 128 combinations.

In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter.

here, we have,

We are told in the question that a frozen yogurt shop has:

8 flavors of frozen yogurt

2 kinds of syrup

8 toppings.

The combinations that can be made with one flavor of frozen yogurt, one syrup, and one topping is calculated as:

8 × 2 × 8

= 128 combinations

Therefore, the combinations that can be made with one flavor of frozen yogurt, one syrup, and one topping is 128 combinations.

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The three ways a linear function (a straight line) and a quadratic function (a parabola) can intersect are:

     /

    /

   /

  /

 /

/

/____________

Two intersections

\          /

\        /

 \      /

  \    /

   \  /

    \/

/____________

No intersection

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The car's value will exceed $10,000 during the interval of 6.97 years to  12.97 years.

To find the interval during which the car's value exceeds $10,000, we can use the following formula to calculate the value of the car after n years:

Value = $20,000 × [tex](1 - 0.15)^n[/tex]

We want to find the number of years, n, such that Value > $10,000. Rearranging the equation, we get:

n = (log(Value / $20,000)) / (log(1 - 0.15))

Substituting Value = $10,000, we find that n = approximately 6.97 years.

So, the car's value will exceed $10,000 from approximately 6.97 years after it was purchased until about 12.97 years after it was purchased.

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The unit of analysis that supposed to use when researcher describes the age, race, and gender distributions for people who are charged with shoplifting is called individuals.

The entity that frames what is being investigated in a study, or the entity being studied as a whole is known as the unit of analysis. At the macro level of social science study, the state is the most frequently used analytical unit that is regarded as a society. Groups, organizations, and institutions are frequent observational units at the meso level, while individuals are the unit of observation at the micro level.

The individual unit of analysis could be either a human or an animal. A group might be made up of a single person or a number of people who communicate with one another. For instance, if we are interested in examining people's shopping behaviors, their learning outcomes, or their views about new technology, then the individual is the unit of analysis that we should use.

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Answer:

62°

Step-by-step explanation:

a = 90° -28° the answer is 62°

Answer:

62 degrees

Step-by-step explanation:

we say 90 degrees-28 degrees=62 degrees

Part 1 is given in the attached image.

Part 2:

The linear equation is y = 3x

The graph of the equation is given in the attached image.

Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.

Given:

Randy needs to buy school supplies.

He needs a headset that costs $30.00.

He also needs notebooks that cost $3.00 each.

Part 1 is given in the attached image.

Part 2:

The linear equation is y = 3x

The graph of the equation is given in the attached image.

Hence, all the solution of part 1 and 2 is given above.

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Answer:

(2) whole numbers

Step-by-step explanation:

Whole numbers include all natural numbers and 0. They are real numbers that do not include fractions, decimals, and negative integers.

5 persons are to be selected to form a committee so that at least 3 men are there on the committee, in 3192 ways the committee can be formed.

Combinations are decisions that are made by choosing some or all of a group of objects, regardless of how they are arranged. the variety of n distinct combinations, each taken r at a time,

We may have four males and one lady or three men and two women (5 men only).

∴ Required number of ways = (⁸C₃ x ⁷C₂) + (⁸C₄ x ⁷C₁) + ⁸C₅

= [tex]\frac{8*7*6}{3*2*1} *\frac{7*6}{2*1} + \frac{8*7*6*5*4}{4*3*2} *\frac{7}{1} + \frac{8*7*6}{3*2}[/tex]

= 1176 + 1960 + 56

= 3192

Therefore, at least 3 men are there on the committee can be formed 3192 times.

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This indicates that the population variance is, with 99% confidence, between 8.53 and 9.35.

The chi-square distribution can be used to compute the population variance's 99% confidence interval estimate based on a sample standard deviation of 12 and a sample size of 10.

The confidence interval's formula is:

(s² / X²) * (n - 1) < σ² < (s² / X²) * n

Where X² is the upper percentile of the chi-square distribution with n-1 degrees of freedom, n is the sample size (10), and s² is the sample variance  (12² = 144).

Using a chi-square table with 9 degrees of freedom and a 99% level of confidence, we can determine that  X² = 16.919 As a result,

the population variance's confidence interval is:

(144 / 16.919) * (10 - 1) < σ² < (144 / 16.919) * 10

(8.53 < σ² < 9.35)

This indicates that the population variance is, with 99% confidence, between 8.53 and 9.35.

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Area of the backyard is 9000 sq.ft. Area of the flower garden is 60 sq.ft. So the area of backyard planted with grass will be 8940 sq.ft.

Here the backyard is in rectangular shape and the flower garden is a parallelogram.

Backyard has a length  of 120ft and a width of 75ft. Area of a rectangle is given by the equation

Area of rectangle = length× width = 120×75 =9000 sq.ft

Area of backyard = 9000 sq.ft

The flower garden is a parallelogram with base 12 ft and height 5 ft.

Area of a parallelogram =  Base× height = 12×5 = 60 sq.ft

Area of flower garden = 60 sq.ft

All the remaining area is planted with grass. So, the area of the portion of backyard planted with grass = Total area of backyard- area of the flower garden.

Area planted with grass = 9000-60 = 8940 sq.ft

So the area of the backyard is 9000 sq.ft, area of the flower garden is 60 sq.ft and area planted with grass is 8940 sq.ft.

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Full question is given as image.

Based on the information, it can be inferred that the correct fraction is 8/8 - 3/8 (option B).

To select the correct fraction we must perform the following procedure:

Analyze the fraction that we have as reference. Once we know its elements (numerator and denominator) we can identify any fracture that is related to it.

We analyze the options and identify the one that is related to the reference fraction. In this case the correct fraction would be 8/8 - 3/8 because we leave the same denominator and do the subtraction with the numerators.

So it would be 8 - 3 = 5. So the correct fraction is option B.

Note: This question is incomplete. Here is the complete information:

Question: Which expression has a value of 8/8 - 3/8?

Options:

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Answer:

5.76106287

Step-by-step explanation:

Answer: 5.76106287488

Step-by-step explanation:

The correct order for the exponent expression is,

A-3, B-1, C-4, and D-2.

The formula for an exponential function is f (x) = aˣ, where x is a variable and an is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.

Given functions to match,

for the functions using property,

aⁿ.aᵇ = aⁿ⁺ᵇ

A; x¹⁸.x¹⁴

x¹⁸.x¹⁴ = x¹⁸⁺¹⁴ = x³²

B: x⁸.x⁵ = x⁸⁺⁵

x⁸.x⁵ = x¹³

C: x³⁵.x⁴⁰  = x³⁵⁺⁴⁰

x³⁵.x⁴⁰  = x⁷⁵

D: x⁴⁵.x² = x⁴⁵⁺²

x⁴⁵.x² = x⁴⁷

Hence correct order is, A-3, B-1, C-4, and D-2.

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Step-by-step explanation:

let's say x stands for years.

FFR(x) is a function that calculates the number of fast food restaurant after x years.

FFR(x) = 2x + 13

they have 13 fast food restaurants right now (x = 0).

in 4 years (x = 4) they think they will have 21. that is 8 more than now. that means 2 more per year (2×4 = 8). therefore the factor 2 for every year (x).

FFR(4) = 2×4 + 13 = 8 + 13 = 21

Bashir would need to invest $18,900, to the nearest hundred dollars, for the value of the account to reach $29,000 in 19 years.

Investment refers to the allocation of money or capital to an asset or a project with the expectation of generating a profit or earning an income. Investment can take many forms, including the purchase of stocks, bonds, real estate, or other financial products, as well as the financing of a business or a startup.

Investing involves risk, as the potential return on investment is not guaranteed. Investors must carefully evaluate the potential risks and returns of each investment opportunity before deciding where to allocate their capital.

Investment can be divided into two main categories: short-term and long-term. Short-term investments, such as savings accounts and money market funds, offer relatively low returns but also have lower risk. Long-term investments, such as stocks and real estate, have higher potential returns but also higher risk.

To find the amount that Bashir needs to invest to reach $29,000 in 19 years, we can use the formula for the future value of an investment:

Future Value = Principal * (1 + (Interest Rate ÷ Number of Compounding Periods))^(Number of Compounding Periods x Time in Years)

In this case, the interest rate is 5.7% compounded quarterly, so:

Interest Rate ÷ Number of Compounding Periods = 5.7 ÷ 4 = 1.425%

And the time in years is 19, so the number of compounding periods is 4 * 19 = 76.

Now, we can plug in the values into the formula:

Future Value = Principal * (1 + (1.425 ÷ 100))^(76)

Future Value = Principal * (1.01425)^76

Future Value = 29,000

Solving for Principal, we get:

Principal = 29,000 ÷ (1.01425)^76

Rounding to the nearest hundred dollars, we get:

Principal = $18,900

So, Bashir would need to invest $18,900, to the nearest hundred dollars, for the value of the account to reach $29,000 in 19 years.

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The length of AB cannot be determined with only the information given. To find AB, we need additional information such as the length of BC or the angle between AB and AC.

Answer:

This problem is unsolvable because their is no form of "b" so not enough info.

The probability of drawing two orange balls, given that at least one ball is orange, is 1/5.

There are a total of 6 possible outcomes when selecting 2 balls from the urn without replacement: (O,O), (O,B), (B,O), (B,B), (O,B), (B,O).

The event that at least one of the balls selected is orange corresponds to the outcomes (O,O), (O,B), and (B,O). The probability of this event is the sum of the probabilities of the individual outcomes:

P(at least one orange) = P(O,O) + P(O,B) + P(B,O)

To calculate the individual probabilities, we can use the formula for the number of combinations of n items taken k at a time:

C(n,k) = n! / (k! (n-k)!).

The probability of each outcome is the number of ways it can occur divided by the total number of possible outcomes:

P(O,O) = C(2,2) / C(4,2)

= 2! / (2! (2!)) / (4! / (2! (2!)))

= 1/6

P(O,B) = C(2,1) * C(2,1) / C(4,2)

= 2 * 2! / (1! (2!)) / (4! / (2! (2!)))

= 2/6

P(B,O) = P(O,B) = 2/6

So,

P(at least one orange) = 1/6 + 2/6 + 2/6

=> 5/6

And the probability that both balls are orange is:

P(both orange) = P(O,O) = 1/6.

So, the probability of drawing two orange balls, given that at least one ball is orange, is 1/5.

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Answer:

see below

Step-by-step explanation:

the figure shows that GF = FH

so 5x+26 = ∠H

because sum of all angles in a triangle =180 (memorize this)

so then you have 2*(5x+26) + 3x+37 =180

solve for x

10x + 52 +3x +37 =180

13x = 91

x=7

so 5x+26 = 35+26 = 61

3x+37 =21+37 =58

Answer: this would be how the numbers should look on the x axis so you can reflect them on the x axis:)

Step-by-step explanation:

Answer:

Step-by-step explanation:

You want the values of x that correspond to y-values of -2, 0, 4, 6, given the relation y = -2/3x +2.

One way to find the x-values is to read them from a graph of the equation. That is what we have done in the first attachment. This tells us the table is ...

  [tex]\begin{array}{|c|c|}\cline{1-2}x&y\\\cline{1-2}6&-2\\3&0\\-3&4\\-6&6\\\cline{1-2}\end{array}[/tex]

You can solve the equation for x, then use that with the given y-values.

  y = -2/3x +2

  y -2 = -2/3x . . . . . subtract 2

  -3/2(y -2) = x . . . . . multiply by -3/2

Using the given y-values, we find the corresponding x-values to be ...

  -3/2({-2, 0, 4, 6} -2) = -3/2{-4, -2, 2, 4} = -3{-2, -1, 1, 2} = {6, 3, -3, -6}

These are the values that we obtained from the graph.

  For y = {-2, 0, 4, 6}, x = {6, 3, -3, -6}.

__

Additional comment

A graphing calculator or spreadsheet can process a list of numbers for you, so you don't have to enter the same computation over and over.

The table represents the exponential function as f(x) = a(b)^3

When the expression of function is such that it involves the input to be present as exponent (power) of some constant, then such function is called exponential function. There usual form is specified below. They are written in several such equivalent forms.

Here we have the table:

Year       number of new college programs

2005     3

2006     22

2007     27

2008     66

2009     100

Few things that are useful to identify this as an exponential equation are:

f(x) = a(b)^3

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On solving the provided question, we can say that the speed of the boat in still water is 11 miles per hour, and equation  the speed of the current is 9 miles per hour.

A math equation is a procedure that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the calculation 3x + 5 = 14, the equal sign places a space between the values 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The logo and the specifically software are frequently the same. as in, 2x - 4 Equals 2, for instance.

distance = rate × time

to set up two equations using the given information:

Equation 1: 140 = (b + c) × 7 (downstream trip)

Equation 2: 140 = (b - c) × 70 (upstream trip)

b + c = 20 (dividing both sides by 7)

b - c = 2 (dividing both sides by 70)

Now we have two equations with two variables. We can solve for "b" and "c" by adding the two equations together:

[tex](b + c) + (b - c) = 20 + 2\\2b = 22\\b = 11\\[/tex]

So the speed of the boat in still water is 11 miles per hour.

We can then use either Equation 1 or Equation 2 to solve for the speed of the current. Let's use Equation 1:

[tex]140 = (11 + c) × 7\\20 = 11 + c\\c = 9[/tex]

So the speed of the current is 9 miles per hour.

Therefore, the speed of the boat in still water is 11 miles per hour, and the speed of the current is 9 miles per hour.

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Using a system of equations and assuming neither pizza nor cake has changed in price, the cost of a pizza in dollars is $10.56.

A system of equations is two or more equations solved at the same time or concurrently.

A system of equations is also called simultaneous equations.

                  Pizzas   Cakes    Total Cost

Last week      12          6             $186

Today           29        24            $554

Let the cost per pizza = x

Let the cost per cake = y

12x + 6y = 186 ... Equation 1

29x + 24y = 554 ... Equation 2

Multiply Equation 1 by 4:

48x + 24y = 744 ... Equation 3:

Subtract Equation 2 from Equation 3:

48x + 24y = 744

-

29x + 24y = 554

18x = 190

x = 10.56

= $10.56

Substitute x = $10.56 in Equation 1:

12x + 6y = 186

12(10.56) + 6y = 186

126.72 + 6y = 186

6y = 59.28

y = 9.88

= $9.88

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Answer:

62 degrees

Step-by-step explanation:

To find the answer simply add both measures of angles 1 and 2 (29 + 33) to get 62 degrees.

The ANOVA for each regression model shows that the overall F-test is significant, which means that at least one of the regression parameters is significant. This indicates that the regression model is useful for predicting the outcome.

The ANOVA for each regression model was conducted to determine whether the overall model is significant. To do this, an F-test was used to compare the sum of squares (SS) of the regression model versus the residual error (RSS). If the F-test is significant, then at least one of the regression parameters is significant and the model is useful for predicting the outcome. In both cases, the F-test was significant which indicates that the regression model is useful for predicting the outcome. The ANOVA also provides information about the individual parameters, such as the p-value associated with each parameter, which can be used to determine which parameters are significant. Overall, this indicates that the regression model is a useful tool for predicting the outcome and can be used to make informed decisions.

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The initial value is 20000 and it is a growth function

The rate is 14%

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

v(t) = 20000(1.14)^t

A function represented as

v(t) =ab^t has teh following features

Initial value = a

Growth/Decay factor = b

This means that

Initial value = 20000

Also, we have

Growth factor = 1.14

This means that

Percentage rate = 1.14 - 1

Percentage rate = .14

So, we have

Percentage rate = 14%

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The order from smallest to largest is 1.5, 4, 13.

To compare numbers using a horizontal number line, simply need to place each number on the line and see which one is farther to the right (greater) or to the left (less).

Here's how to compare 13, 4 and 1.5 on a number line:

So, in this case, 1.5 is to the left of 4, which is to the left of 13. Therefore, the order from smallest to largest is 1.5, 4, 13.

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The variable x shows fish with common features.

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range.

Given:

G(x) =  -10x² + 100x +44

Now solving the Quadratic Equation we have

D = √(100)² - 4(-10)(44)

D = √10000 + 1760

D = √11760

D= 108.44

Now, x= -b ± D/2a

x= -100 ± 108.44 /2(-10)

x= -100 ± 108.44 / (-20)

x = -100 + 108.44 / (-20)  or x= -100- 108.44 / (-20)

x= -0.422 or x= 10.422

Here x represents the fish with common features.

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