A third grade class has 16 girls and 15 boys a fourth grade class has 18 boys and 15 girls when picking for PE captains will make one selection from the fourth grade class and one selection from the third grade class before the other team pics assuming everyone has an equally like lee chance of being selected what is the probability that the first captain will choose two boys on the first pick

x + (-5) = 1

x - 5 = 1

x = 1 + 5

x = 6

Using the Factor Theorem, it is found that the linear factorization of the function is:

\(f(x) = \left(x + \frac{11}{3}\right)\left(x - \frac{7}{2}\right)(x - 1 - 3i)(x - 1 + 3i)\)

The Factor Theorem states that a polynomial function with roots has linear factorization given by:

\(f(x) = (x - x_1)(x - x_2) \cdots (x - x_n)\)  

Using a calculator, the roots of the function \(f(x) = 6x^4 - 11x^3 - 19x^2 + 164x - 770) are given by: \(x_1 = -\frac{11}{3}, x_2 = \frac{7}{2}, x_3 = 1 + 3i, x_4 = 1 - 3i\)

Hence, applying the Factor Theorem, considering the given roots, the linear factorization given by:

\(f(x) = a(x - x_1)(x - x_2)(x - x_3)(x - x_4)\)

\(f(x) = \left(x + \frac{11}{3}\right)\left(x - \frac{7}{2}\right)(x - 1 - 3i)(x - 1 + 3i)\)

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Answer:

( Where is says “ Use the answers to the problems above to help solve some of those below “ I cannot see the left side. Therefore, I cannot help you there )

3/4 of 32=24

74x32=2368

1/4 of 33=8.25

74x33=2442

0.75x32=24

76x32=2432

0.75x33=24.75

76x33=2508

75x32=2400

0.76x32=24.32

75x33=2475

0.76x33=25.08

24x96=2304

75x37=2775

0.74x32=23.68

76x112=8512

Step-by-step explanation:

The true statements about the graph are 1, 2, and 3.

A line of the best fit is a straight line that reduces the distance between it and some data. The line of best fit is used to represent a relationship in a scatter plot with numerous data points.

Given:

The temperature above 52° F affects the sale of hot chocolate at her shop,

As you can see from the graph, the y-axis shows the orders for hot chocolate on a day when the outside temperature was 52° F.

From the graph,

at x = 0, y = 160

Thus, Sheryl gets 160 orders for hot chocolate on a day when the outside temperature is 52° F

At x = 0, y = 160 and at x = 16, y = 128

So the difference is 160-128 / 16 - 0 = 2

Thus, Sheryl gets 2 fewer orders for each degree increase above 52° F in the outside temperature.

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Every other multiple of 3 is even.

The answer is 7. Seven is a prime number, which means that its multiples are 1 and itself (7): 7 = 1 * 7

The digits in multiples of 3 add up to a multiple of 3 (36 = 3 + 6, 111 = 1 + 1 + 1, etc.) All EVEN multiples of 3 are also a multiple of 6 (the even multiples of 3 are the 6 “count by's”).

The answer is 7. Seven is a prime number, which means that its multiples are 1 and itself (7): 7 = 1 * 7. To find out which one is a factor of 7, we should divide each of them by 7. 1/7 will be a decimal number and 7/7 = 1, which is a whole number. Thus, 7 will be a multiple of 7 and also a factor of 7.

A whole number higher than 1 whose only elements are 1 and itself is referred to as a prime number. A whole number that may be split evenly into another number is referred to as a factor. 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29 are the first few prime numbers. Composite numbers are those that have more than two components.

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Answer:

Both processes will yield same results and he need not worry

Step-by-step explanation:

Let us firstly check if we will have same results on both steps

y before x

Let us have the point (x,y) on the triangle

y reflection

(-x,y)

then x reflection

(-x,-y)

Let us now get the order in which my friend followed

x reflection

(x, -y)

y reflection

(-x,-y)

we can see that both processes have same results and thus, my friend need not worry

Answer:

The order of these two reflections  

does not

matter. The resulting image  

is

the same for a reflection in the y-axis followed by a reflection in the x-axis as for a reflection in the x-axis followed by a reflection in the y-axis.

Step-by-step explanation:

Answer: 162000

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

162000

\(\displaystyle\\Answer:\ (\frac{6}{125})^4\)

Step-by-step explanation:

\(\displaystyle\\(\frac{125}{6} )^{-4}=\\\\(\frac{6}{125})^{-(-4)}= \\\\(\frac{6}{125})^4\)

Using it's concept, it is found that there is a 27.3% probability that someone throws the 11-sided die one time and rolls a number 9 or higher.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there are 11 numbers, 3 of which are 9 or higher, hence the probability is:

p = 3/11 = 0.273 = 27.3%.

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Answer: sure, with what though?

Step-by-step explanation:

Answer:

10.446

Step-by-step explanation:

Answer:

The regression equation is:

\(y=3.77+0.36 x\)

Step-by-step explanation:

The general form of a regression equation is:

\(y=\alpha +\beta x\)

Here,

α = intercept

β = slope

Compute the value of intercept and slope as follows:

\(\begin{aligned} \alpha &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 29 \cdot 186 - 28 \cdot 173}{ 5 \cdot 186 - 28^2} =3.767\approx 3.77 \\ \\\beta &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} = \frac{ 5 \cdot 173 - 28 \cdot 29 }{ 5 \cdot 186 - \left( 28 \right)^2} =0.363\approx 0.36\end{aligned}\)

The regression equation is:

\(y=3.77+0.36 x\)

Answer:

31

Step-by-step explanation:

First you would subtract -12 and 19, which would get you to  -31. The absolute value of a number is the distance between the number and zero. For example, -31 is 31 spaces away from 0, so your answer would be 31.

Answer: The answer is -7.

Step-by-step explanation: First of all to do the difference between them we should remove the absolute value. The absolute value of any number is positive therefore, The absolute value of -12 is 12. So the difference between 12 and 19 is -7.

1365 batting orders  are possible for the game.

Given,

In the question:

In a cricket match, you have a squad of 15 players and you need to select 11 for a game.

To find the how many batting orders are possible for the game?

Let's Know:

What are combination?

Combinations are also referred to as selections. Combinations imply the selection of things from a given set of things. In this case, we intend to select the objects.

Combination formula

ⁿCr = n! / ((n – r)! r!

n = the number of items.

r = how many items are taken at a time.

Substitute the values in above formula :

15! / 11! (15 - 11)!

= 15! / 11! 4!

= 15 × 14 × 13 × 12 / 4 × 3 × 2

= 1365 orders

Hence, 1365 batting orders  are possible for the game.

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The average weight of a male Florida panther rounded to the nearest whole number is 53 kg

What is average?

The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.

Average weight = 52.6 kg

52.6

The number after decimal point is 6 which is more than 5.

So add  1 to the 52, we get 53

Thus, the average weight of a male Florida panther rounded to the nearest whole number is 53 kg

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The holdout method is a common approach to assess the performance of a model on new, unseen data.

Linear regression is a statistical technique used to model the relationship between a dependent variable and one or more independent variables. In simple linear regression, the relationship is modeled using a straight line, while in multiple linear regression, the relationship is modeled using a hyperplane in higher dimensions. Linear regression models are widely used in various fields, including finance, economics, social sciences, and engineering, to analyze and predict the behavior of a dependent variable based on one or more independent variables. The basic idea behind linear regression is to find the best-fitting line or hyperplane that minimizes the sum of the squared differences between the predicted values and the actual values of the dependent variable. This best-fitting line or hyperplane is called the regression line or regression hyperplane.

Here,

The basic idea is to split the available data into two parts: a training set and a validation set. The training set is used to fit the model, while the validation set is used to evaluate its performance. The holdout method can help us estimate how well the model will generalize to new data.

To compare the predictability of two linear regression models using the holdout method, we would follow these steps:

Split the data into a training set and a validation set. In this case, we would use the first 30 observations for training and the remaining 10 observations for validation.

Fit the first linear regression model using the training data. This model uses the variables x and d as predictors.

Fit the second linear regression model using the training data. This model extends the first model by including the interaction variable xd as a predictor.

Predict the response variable y for each observation in the validation set using both models.

Compare the predicted values to the actual values of y in the validation set. We can use metrics such as mean squared error (MSE) or R-squared to assess the performance of each model.

Choose the model that performs better on the validation set. This model is expected to have better predictability on new, unseen data.

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Answer:

It's algebra or geometry?

According to the problem the length of the label is 121 over 28 cm.

A label is a piece of text, image, or other object used to identify and describe an item, product, or object. Labels are typically used to provide information about an item, such as its size, manufacturer, contents, or use. Labels can also be used for labeling items for sale, for labeling items for storage, or for labeling items for shipment.

The length of the label can be calculated using the circumference formula, C = π x d, where C is the circumference and d is the diameter.
The diameter of the can is 2 and three fourths cm, so the circumference is 22 over 7 x 2 and three fourths, which is equal to 121 over 7.
To get the length of the label, divide 121 over 7 by the number of labels needed - in this case, 4.
So, the length of the label is 121 over 28 cm.

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Answer:

\({ \sf{ {x}^{2} + {y}^{2} = {(x + y)}^{2} - 2xy }}\)

Step-by-step explanation:

\({ \tt{ {(x + y)}^{2} = (x + y)(x + y) }} \\ { \tt{ {(x + y)}^{2} = ( {x}^{2} + 2xy + {y}^{2}) }} \\ { \tt{( {x}^{2} + {y}^{2} ) = {(x + y)}^{2} - 2xy}}\)

Answer:11

Step-by-step explanation:

The total medical expenses for the five people in the car are $3,000 + $3*$500 + $62,000 = $3,000 + $1,500 + $62,000 = $66,500

What does a math word problem entail?

A math word problem is a question that is written as one or more sentences and asks students to use their mathematical understanding to solve an issue from "real world." In order for kids to understand the word problem, they must be familiar with the terminology that goes along with the mathematical symbols that they are used to.

Since Allen's personal injury protection policy covers each person up to $50,000, the insurance company must pay out $50,000*5 = $250,000 for the five people in the car.

Since the total medical expenses for the five people are $66,500, the insurance company will pay out the total medical expenses for the five people, which is $66,500.

Therefore, the insurance company must pay out $66,500 for these five people.

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a. The interest that would accrue at Bank A is $1484.32.

b. Kathy would owe $5984.32 at Bank A.

c. The interest that would accrue at Bank B is $201.82.

d. Kathy would owe $4776.82 at Bank B.

e. Kathy would save $1213.03 by using Bank B.

a. The annual interest at Bank A is 21.99%. The simple interest for 18 months can be calculated as:

I = Prt = 4500 x 0.2199 x (18/12) = $1484.32.

Therefore, the interest that would accrue at Bank A is $1484.32.

b. The total amount that Kathy would owe at Bank A is the sum of the principal and interest:

Total = Principal + Interest = $4500 + $1484.32. = $5984.32.

Therefore, Kathy would owe $5984.32 at Bank A.

c. The annual interest rate at Bank B is 2.99%, but there is also a one-time service fee of $75. The interest for 18 months can be calculated as:

I = Prt = 4500 x 0.0299 x (18/12) = $201.82.

Therefore, the interest that would accrue at Bank B is $201.82.

d. The total amount that Kathy would owe at Bank B is the sum of the principal, interest, and service fee:

Total = Principal + Interest + Service fee = $4500 + $201.82 + $75 = $4776.82

Therefore, Kathy would owe $4776.82 at Bank B.

e. By using Bank B, Kathy would save the difference between the total amount owed at Bank A and the total amount owed at Bank B:

Savings = Total at Bank A - Total at Bank B = $5989.85 - $4776.82 = $1213.03.

Therefore, Kathy would save $1213.03 by using Bank B.

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The solution is Option C.

The value of the quadratic equation is A = 3a² + 4a - 4 , where the factor of a is given by a = 2/3

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

The roots of the quadratic equations are

x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )

where ( b² - 4ac ) is the discriminant

when ( b² - 4ac ) is positive, we get two real solutions

when discriminant is zero we get just one real solution (both answers are the same)

when discriminant is negative we get a pair of complex solutions

Given data ,

Let the quadratic equation be represented as A

Now , the value of A is

A = 3a² + 6a - 2a - 4   be equation (1)

On simplifying the equation , we get

A = 3a² + 4a - 4

Now , when the factor of the equation is ( 3a - 2 ) = 0

Adding 2 on both sides of the equation , we get

3a = 2

Divide by 3 on both sides , we get

a = 2/3

Substitute the value of a in the equation , we get

A = 3 ( 2/3 )² + 4 ( 2/3 ) - 4

On simplifying the equation , we get

A = 3 ( 4/9 ) + 8/3 - 4

A = ( 4/3 + 8/3 ) - 4

A = ( 12/3 ) - 4

A = 4 - 4

A = 0

Hence , the binomial ( 3a - 2 ) is a factor of the equation

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Answer:

6.7

Step-by-step explanation:

Given is a right angled triangle.

So by Pythagoras theorem:

Length of the third side

\( = \sqrt{ {7}^{2} - {2}^{2} } \\ \\ = \sqrt{49 - 4} \\ \\ = \sqrt{45} \\ \\ = 6.70820393 \\ \\ \approx 6.7\)

Answer:

the 3 is in the tenths place, so it represents 3.

Step-by-step explanation:

<3

The fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.

To find the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9, we can set up a proportion.

Let's represent the unknown fraction as x. The ratio can be configured as follows:

x / (1/27) = (3/7) / (5/9)

To solve this proportion, we can cross-multiply:

(x * 5/9) = (3/7) * (1/27)

Simplifying the right side:

(x * 5/9) = 3/189

To eliminate the fraction on the left side, we can multiply both sides by the reciprocal of 5/9, which is 9/5:

(x * 5/9) * (9/5) = (3/189) * (9/5)

Simplifying further:

x = 27/35

Therefore, the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.

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The height of the television transmission tower is approximately 1298 feet.

The height of the television transmission tower, we can use trigonometry and the concept of tangent.

Let's denote the height of the tower as h.

We know the length of the shadow is 1130 feet and the angle formed by the ground and the line from the top of the tower to the tip of the shadow is 48.3 degrees.

The tangent of an angle is defined as the ratio of the opposite side to the adjacent side.

The height of the tower is the opposite side and the length of the shadow is the adjacent side.

Using the tangent function, we can set up the following equation:

tan(48.3°) = h / 1130

To solve for h, we can multiply both sides of the equation by 1130:

1130 × tan(48.3°) = h

Using a calculator, we find:

h ≈ 1130 × 1.1477

≈ 1297.601 feet

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Answer:

800 books

problem solving steps：

adults:60%

young people:5%

children=100%-60%-5%

=35%

35%=280 books

1%=280÷35

=8

100%=800

so,there are 800 books

Answer:

2.14 units

Step-by-step explanation:

TO FIND AB:

sin 34=AC/AB

AB=AC/sin34=4/sin34=7.15

TO FIND AD:

sin 53=AC/AD

AD=AC/sin53=4/sin53=5.00

difference in length:

AB-AD=7.15-5.00=2.14 units

Answer:

the answer is 2.14 units

Step-by-step explanation:

took the test and got it right

Brainliest pls

Based on the integer from the location in the diagram, the possible values for n and m will be 3.25 and π.

It should be noted that an integer means a number that can be expressed without a fraction.

In this case, n is a not an integer but a rational number while m is an irrational number. The possible values for n and m will be 3.25 and π.

A rational number is a number that can be expressed as a fraction where the numerator and denominator are both integers (whole numbers), and the denominator is not equal to zero. In other words, a rational number is any number that can be written in the form of p/q, where p and q are integers and q is not equal to zero.

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Answer:

10143

Step-by-step explanation:

If 1dollar=414naira

70/100×14 490

7×1 449

=10 143