The weights of NCAA lacrosse players are approximately normally distributed with a mean of 182 lbs and a standard deviation of 13.1 lbs.

. a) Find the probability that a player will have a weight between 163 lbs and 191 lbs. (6 points)

. b) How much would a lacrosse player weigh if he was lighter than 75% of the other players? (5 points)

Show your work in proper format on separate paper making sure you've answered all parts of the question.

Then, snap a pic of your work and upload it as your answer.

Be sure your upload is the correct file.

3(u-6) = 3u-18

Step-by-step explanation:

The question is 3(u-6).

We simply multiply 3*u=3u and 3*6=18, so we will get

3(u-6) = 3u-18

Answer:

#3

Step-by-step explanation:

For this... you just multiply the exponents together to get 6x

   any of the others that do NOT have 6x as a product of exponents is not equiv    ..... so #3 is not equivalent  

Option 3 is not equivalent to the given expression.

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given expression is (5²ˣ)³.

Now, (5⁶ˣ)

(5ˣ)⁶

(5²)³ˣ

Therefore, option 3 is not equivalent to the given expression.

To learn more about an equivalent expression visit:

https://brainly.com/question/28170201.

#SPJ2

B ⨯ A = {(a,1), (a,2), (a,3), (b,1), (b,2), (b,3)}.

A ⨯ B = {(1,a), (1,b), (2,a), (2,b), (3,a), (3,b)}.

When A and B have the same cardinality, the sets B ⨯ A and A ⨯ B have the same number of elements, and therefore the same cardinality.

We have,

a)

B ⨯ A is the Cartesian product of B and A, which is the set of all ordered pairs (b, a) where b is an element of B and a is an element of A.

Therefore,

B ⨯ A = {(a,1), (a,2), (a,3), (b,1), (b,2), (b,3)}.

b)

A ⨯ B is the Cartesian product of A and B, which is the set of all ordered pairs (a,b) where a is an element of A and b is an element of B.

Therefore,

A ⨯ B = {(1,a), (1,b), (2,a), (2,b), (3,a), (3,b)}.

c)

The cardinality of a set is the number of elements in that set.

We can prove that |B ⨯ A| = |A ⨯ B| by showing that they have the same number of elements.

Let n be the number of elements in A, and let m be the number of elements in B.

|B ⨯ A| = m × n because for each element in B, there are n elements in A that can be paired with it.

|A ⨯ B| = n × m because for each element in A, there are m elements in B that can be paired with it.

Since multiplication is commutative, m × n = n × m.

So,

|B ⨯ A| = |A ⨯ B|.

The statement "B ⨯ A ≠ A ⨯ B" is not always true, but when it is, it means that A and B have different cardinalities.

In this case, |B ⨯ A| ≠ |A ⨯ B| because the order in which we take the Cartesian product matters.

However, when A and B have the same cardinality, the sets B ⨯ A and A ⨯ B have the same number of elements, and therefore the same cardinality.

Thus,

B ⨯ A = {(a,1), (a,2), (a,3), (b,1), (b,2), (b,3)}.

A ⨯ B = {(1,a), (1,b), (2,a), (2,b), (3,a), (3,b)}.

When A and B have the same cardinality, the sets B ⨯ A and A ⨯ B have the same number of elements, and therefore the same cardinality.

Learn more about sets here:

https://brainly.com/question/8053622

#SPJ1

By Using the table to work out the values of a , b , c , and d. X y = 2 x + 1 − 3 a − 2 − 3 − 1 b 0 1 1 c 2 d a = b = c = d =

Therefore, The solutions are : a = -3, b = 0, c = 6, d = 9

Equation:

In mathematics, an equation is an expression that indicates equality of two expressions by connecting them with the equal sign = . The word "equation" and related words in other languages ​​can have slightly different meanings. For example, in French an equation is defined as containing one or more variables, whereas in English a well-formed formula consisting of two expressions connected by an equal sign is an equation.

Given:

This table;

x             y = 3x+3

-3                -6

-2                 a

-1                  b

0                 3

1                  c

2                 d

To Find:

Values of a, b, c and d

Consider the 2nd row,

x = -2, y = a

Putting the values in the equation,

we get,

   a = 3(-2) + 3

⇒ a = -3

Consider the 3rd row,

x = -1, y = b

Putting the values in the equation,

we get,

   b = 3(-1) + 3

⇒ b = 0

Consider the 5th row,

x = 1, y = c

Putting the values in the equation,

   c = 3(1) + 3

⇒ c = 6

Consider the 6th row,

x = 2, y = d

   d = 3(2) + 3

⇒ d = 9

The final answer is,

a = -3, b = 0, c = 6, d = 9.

Learn more about solutions:

https://brainly.com/question/29263728

#SPJ4

Answer: -4

Step-by-step explanation: Hello! :) To get started we need to use the equation 7x+3=4x-9, First, we need to subtract 4x from both sides to get 3x+3=-9, then we need to subtract 3 on both sides to get 3x=-12, Finally, we need to divide both sides by 3 to get x = -4. So x = -4.

Hope this helps!

Please consider marking Brainliest I am 1 away from 50!

Answer:

10 units to the left

Step-by-step explanation:

The x=value is moving 10 units to the left.

The businesses manage the risk or the uncertainty by risk assessment , risk mitigation , risk transfer , compliance and regulations .

The Businesses manage risk or uncertainty in several ways, including:

(i) Risk Assessment: The Businesses assess the risks they face by analyzing their operations, market trends, competition, regulatory environment, and other factors.

(ii) Risk mitigation: Once risks have been identified, businesses implement strategies to reduce their potential impact.

(iii) Risk transfer: The Businesses may transfer some of their risks to other parties through insurance, contracts, or other agreements.

(iv) Compliance and regulation: Businesses comply with regulations and industry standards to minimize the risk of legal or regulatory penalties, reputational damage, or other negative consequences.

Learn more about Uncertainty here

https://brainly.com/question/14569064

#SPJ4

The given question is incomplete , the complete question is

How do businesses manage risk or uncertainty?

a) The amount of water in the pool after 2 hours can be calculated using the equation.

Water in pool = 10L/hour × 2 hours = 20L.

b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.

Solving for Time, we find Time = 8 hours.

c) Part b) is linear.

a) To calculate the amount of water in the pool after 2 hours, we can use the equation:

Water in pool = Water filling rate × Time

Since the pool gets filled up with 10L of water per hour, we can substitute the values:

Water in pool = 10 L/hour × 2 hours = 20L

Therefore, after 2 hours, there will be 20 liters of water in the pool.

b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:

Water in pool = Water filling rate × Time

We want the water in the pool to be 80 liters, so the equation becomes:

80L = 10 L/hour × Time

Dividing both sides by 10 L/hour, we get:

Time = 80L / 10 L/hour = 8 hours

Therefore, it will take 8 hours for the pool to contain 80 liters of water.

c) Part b) is linear.

The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.

Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.

For similar question on amount.

https://brainly.com/question/25720319  

#SPJ8

On solving the provided question we can say that As a result, the credit equation limit of a client who has paid on time every year for the past ten years is $7,000.

A mathematical equation is a formula that links two statements and uses the equals sign (=) to indicate equality. In algebra, an equation is a statement that demonstrates the equality of two mathematical expressions. The equal sign divides the variables 3x + 5 and 14 in the equation 3x + 5 = 14, for instance.

The relationship between the two sentences that are located on opposite sides of a letter is explained by a mathematical formula. Frequently, the symbol and the single variable are identical. like in 2x - 4 = 2, for example.

The following equation determines the credit limit, Ln, of customers who have made on-time payments each year and are in the nth year of card ownership:

Ln = $2,000 + $500n

where Ln stands for the credit limit in the nth year and n is the number of years the cardholder has had it.

In the equation above, we substitute n=10 to get a customer's credit limit after ten years of card use:

L10 = $2,000 + $500(10)

L10 = $2,000 + $5,000

L10 = $7,000

As a result, a client with a ten-year history of on-time payments has a credit limit of $7,000.

To know more about equation visit:

brainly.com/question/649785

#SPJ1

3.1 Since ∂P/∂y ≠ ∂Q/∂x, the DE is not exact. 3.2 Integrating factor: μ(x) = e^(∫(-1 - 1) dx) = e^(-2x). 3.3 xy - 0.5e^(-2x) = C Where C is the constant of integration. This is the solution to the given differential equation (DE).

a. To show that the given differential equation (DE) is not exact, we need to check if the partial derivatives of its coefficients with respect to y and x are equal. Let's denote the DE as:

P(x, y) dx + Q(x, y) dy = 3

Now, we calculate the partial derivatives:

∂P/∂y = 1

∂Q/∂x = -1

Since ∂P/∂y ≠ ∂Q/∂x, the DE is not exact.

b. To find an integrating factor for the DE, we can use the formula: μ(x) = e^(∫(∂Q/∂x - ∂P/∂y) dx)

Plugging in the values, we have: μ(x) = e^(∫(-1 - 1) dx) = e^(-2x)

c. To solve the DE using the integrating factor, we multiply both sides of the DE by the integrating factor μ(x): e^(-2x) * [(∂P/∂y) dx + (∂Q/∂x) dy] = e^(-2x) * 3

This simplifies to: (e^(-2x) - y) dx + (-e^(-2x)) dy = 3 * e^(-2x) dx

To find the solution, we integrate both sides of the equation: ∫(e^(-2x) - y) dx + ∫(-e^(-2x)) dy = ∫(3 * e^(-2x)) dx

Integrating, we get: -0.5e^(-2x) - xy = -1.5e^(-2x) + C

Simplifying further, we have: xy - 0.5e^(-2x) = C

Where C is the constant of integration. This is the solution to the given differential equation (DE).

to learn more about partial derivative click: brainly.com/question/32387059

#SPJ11

Answer:

\(P = 2(l+w)\\Length = 5x\\Width = 3x+7\\\\P = 2(5x +(3x+7))\)

Step-by-step explanation:

Further Solving :

\(P = 2(5x +(3x+7))\\P = 2(5x+3x+7)\\P = 2(8x+7)\\\\Perimeter = 16x + 14\)

The measure of the side of the partial rectangle is 7 cm

The perimeter P of a rectangle is given by the formula, P=2 ( L + W) , where L is the length and W is the width of the rectangle.

Perimeter P of rectangle = 2 ( Length + Width )

Given data ,

Let the perimeter of the rectangular figure be represented as P

Now , the equation will be

The length of the rectangle 1 = 12 cm

The width of the rectangle 1 = 6 cm

The length of the rectangle 2 = 15 cm

The width of the rectangle 2 = 5 cm

Now , let the unknown length be represented as A

And , A = length of the rectangle 1 - width of the rectangle 2

Substituting the values in the equation , we get

The unknown length A = 12 cm - 5 cm

On simplifying the equation , we get

The unknown length A = 7 cm

Hence , the unknown length of the rectangle is A = 7 cm

To learn more about perimeter of rectangle click :

https://brainly.com/question/15725265

#SPJ1

The three ways of ratio for comparing the first quantity to the second quantity will be;  9 : 17, 18 : 34, and 27 : 51

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

We have

Number of monkeys = 9

Number of chimpanzees = 17

Now,

The ratio of comparing the first quantity to the second quantity is;

Here, The first quantity is Monkeys

And, The second quantity is Chimpanzees.

So, the ratio of Monkeys to Chimpanzee is;

Number of Monkeys / Number of chimpanzee = 9 / 17

                                                                              = 9 : 17

And, the two equivalent ratios are;

⇒ 9 / 17 = 9 × 2 / 17 × 2

             = 18 / 34

⇒ 9 / 17 = 9 × 3 / 17 × 3

             = 27 / 51

Thus, the three ways of ratio for comparing the first quantity to the second quantity will be;  9 : 17, 18 : 34, and 27 : 51.

Learn more about the Ratio here:

brainly.com/question/1504221

#SPJ1

The question seems to be incomplete the correct question would be:

Write a ratio for the situation in three ways comparing the first quantity to the second quantity A zoo has 9 monkeys and 10 chimpanzees

A supermarket sells cornflakes for $3 the selling price the supermarket pay for each box is $2.

The markup is the percentage added to the cost price to determine the selling price. We can use the formula:

selling price = cost price + markup

We know that the selling price of the cornflakes is $3.60 per box and the markup is 80%, so we can write:

3.60 = cost price + 0.80(cost price)

Simplifying this equation, we get:

3.60 = 1.80(cost price)

Dividing both sides by 1.80, we get:

cost price = 2

Therefore, the supermarket paid $2 for each box of cornflakes.

Learn more about the selling price at

https://brainly.com/question/28017453

#SPJ4

Costs that do not change with output are called fixed costs.

Hence the correct option is D.

Fixed costs are the costs that does not change when output gets changed. Fixed cost is also known as overhead cost. For example, insurance, rent, profit, depreciation, and normal cost.

Fixed costs are indirect costs and must be paid irrespective of the level of production, that is, these costs can be incurred even when the level of production is zero. The best example for this is rent of the factory and payment on the lease for the equipment of the factory must be paid even if the level of production is zero.

To know more about fixed costs here

https://brainly.com/question/28838149

#SPJ4

a. The price of the consol is approximately $133.33.

b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.

c. Your holding period return is approximately -49.99%.

a. The price of the consol can be calculated using the formula for the present value of a perpetuity:

Price = Annual Payment / Interest Rate

In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:

Price = $4 / 0.03 ≈ $133.33

Therefore, the price of the consol is approximately $133.33.

b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:

New Price = Annual Payment / New Interest Rate

Substituting the values, we get:

New Price = $4 / 0.04 = $100

The percentage change in the price of the consol can be calculated using the formula:

Percentage Change = (New Price - Old Price) / Old Price * 100

Substituting the values, we have:

Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%

The percentage change in the interest rate is simply the difference between the old and new interest rates:

Percentage Change in Interest Rate = (4% - 3%) = 1%

Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.

c. The holding period return can be calculated using the formula:

Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100

The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:

Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67

Substituting the values into the holding period return formula:

Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%

Therefore, the holding period return is approximately -49.99%.

Learn more about holding period

brainly.com/question/32568151

#SPJ11

Answer:

-72

Step-by-step explanation:

-9 * 8 = -72

Hope this helps

Pls mark brainlesit

the criteria used when deciding upon the inclusion of a variable are A - Theory, B - t-statistic, C - Bias, and D - Adjusted R^2.

When deciding upon the inclusion of a variable, the following criteria are commonly used:

A - Theory: Theoretical justification is often considered to include a variable in a model. It involves assessing whether the variable is relevant and aligns with the underlying theory or conceptual framework.

B - t-statistic: The t-statistic is used to determine the statistical significance of a variable. A variable with a significant t-statistic suggests that it has a meaningful relationship with the dependent variable and may be included in the model.

C - Bias: Bias refers to the presence of systematic errors in the estimation of model parameters. It is important to consider the potential bias introduced by including or excluding a variable and assess whether it aligns with the research objectives.

D - Adjusted R^2: Adjusted R^2 is a measure of the goodness of fit of a regression model. It considers the trade-off between the number of variables included and the overall fit of the model. Adjusted R^2 helps in assessing whether the inclusion of a variable improves the model's explanatory power.

To know more about variable visit:

brainly.com/question/29583350

#SPJ11

Answer:

The slope is 6

Step-by-step explanation:

f(x)=2(3x-7)

Distribute the 2

f(x)=2*3x-2*7

f(x) = 6x -14

This is in slope intercept form

y = mx+b  where m is the slope and b is the y intercept

The slope is 6 and the y intercept is -14

The slope is 6

Answer:

Below

Step-by-step explanation:

12 C 2  = 12! / ( 10! 2!) = 66 ways

Answer:

x=11/18 or 0.61

Step-by-step explanation:

Let x represent the blank

\(As\ x:11::1/3:6\ form\ a\ proportion,\ we\ may\ use\ the\ ratio\ method\ to\ find\ x.\\\\Hence,\\x:11::1/3:6\\6x=1/3*11\\x=11*1/3*1/6\\x=11*1/18\\x=11/18\)

To solve this initial value problem system, we can use the Euler method.

This method consists of replacing the derivatives in the system of equations with their approximations, as follows:

xi+1 = xi + h x'(ti)

wi+1 = wi + h w'(ti)

where h is the step size, xi and wi are the values at the ith step, and x'(ti) and w'(ti) are the derivatives of x and w respectively at the ith step.

Given the initial values, x(t0) = x0 and w(t0) = w0, we can start the iteration by setting x0 = x0 and w0 = w0, then computing the following values for each subsequent step:

xi+1 = xi + h x'(ti) = xi + h (− sin(xi))

wi+1 = wi + h w'(ti) = wi + h xi

To know more about  Euler method refer here:

https://brainly.com/question/14309211

#SPJ11

Answer:

18yds

Step-by-step explanation:

From Robb to William

Use Pythagoras theorem to find the long side

a² =b² + C²

a² = 12² +5²

a² 144 +25

a² = 169

a =13

From Williams to Robb is 5km

Total distance is 13 +5 = 18yds

The probability that you guess the combination correctly 0.00001.

We know that the probability of an event is (possible outcome/total outcome)

I will assume that repeats are allowed as in most combination locks so the number of possible codes

= 10⁵ = 100000

We also know that there is only one correct combination so the probability that you guess the combination correctly

= 1/10⁵ = 1/100000 = 0.00001

Orchestrating individuals, digits, numbers, letters in order, letters, and tones are instances of changes. Choice of menu, food, garments, subjects, and group are instances of combination.

To learn more about permutation and combination,

https://brainly.com/question/28065038

#SPJ4

Answer:

353340 + x + 33

Step-by-step explanation:

real life sum situation

1. The prime cost per cleaning is $249,900 / 9,000 = $27.77

2. The conversion cost per cleaning is $243,600 / 9,000 = $27.07

3. The total variable cost per cleaning is $262,500 / 9,000 = $29.17

4. The total service cost per cleaning is $276,900 / 9,000 = $30.77

5. The fixed overhead cost would increase by $900.

1. Prime cost per cleaning:

Prime cost includes direct materials and direct labor.

Prime cost = Direct materials + Direct labor

Prime cost = $18,900 + $231,000

Prime cost = $249,900

Therefore, the prime cost per cleaning is $249,900 / 9,000 = $27.77 (rounded to the nearest cent).

2. Conversion cost per cleaning:

Conversion cost includes direct labor and variable overhead.

Conversion cost = Direct labor + Variable overhead

Conversion cost = $231,000 + $12,600

Conversion cost = $243,600

Therefore, the conversion cost per cleaning is $243,600 / 9,000 = $27.07 (rounded to the nearest cent).

3. Total variable cost per cleaning:

Total variable cost includes direct materials, direct labor, and variable overhead.

Total variable cost = Direct materials + Direct labor + Variable overhead

Total variable cost = $18,900 + $231,000 + $12,600

Total variable cost = $262,500

Therefore, the total variable cost per cleaning is $262,500 / 9,000 = $29.17 (rounded to the nearest cent).

4. Total service cost per cleaning:

Total service cost includes direct materials, direct labor, variable overhead, and fixed overhead.

Total service cost = Direct materials + Direct labor + Variable overhead + Fixed overhead

Total service cost = $18,900 + $231,000 + $12,600 + $14,400

Total service cost = $276,900

Therefore, the total service cost per cleaning is $276,900 / 9,000 = $30.77 (rounded to the nearest cent).

5. If the rent on the office increased by $900, it would affect HHH's fixed overhead cost. The fixed overhead cost would increase by $900. This would lead to an increase in the total service cost per cleaning, as the fixed overhead is a component of the total service cost.

To learn more about variable cost

https://brainly.com/question/19544247

#SPJ11

Answer:

Manau, kad tai D.

For the given rectangle RSTW, the condition satisfies the criteria of rectangles is equal to m ∠SRZ = 40°.

As given in the question,

In the given figure of rectangle RSTW,

Conditions satisfies the criteria of the rectangles are as follow:

a. m ∠SRZ = 40°

Line segment SR is parallel to TW. TR is the transversal.

m ∠SRT = m ∠WTR ( Alternate interior angles)

T -Z - R

m ∠SRZ = m ∠WTZ = 40°

Given criteria is satisfies the criteria of rectangles.

b. m ∠STZ = 40°

All the interior angles of rectangle are of measure 90°

m ∠STW = 90°

m ∠WTZ = 40° (given)

m ∠STZ + m ∠WTZ = 90°

⇒ m ∠STZ = 50°

Given option does not satisfies the criteria of rectangles.

c. m ∠SRW = 80°

All the interior angles of rectangle are of measure 90°

Given option does not satisfies the criteria of rectangles.

d. m ∠TWR = 80°

All the interior angles of rectangle are of measure 90°

Given option does not satisfies the criteria of rectangles.

Therefore, for the given rectangle RSTW, the condition satisfies the criteria of rectangles is equal to  m ∠SRZ = 40°.

Learn more about rectangle here

brainly.com/question/15019502

#SPJ1

Answer:

x- (-2,0)

Y-(0,-6)

Step-by-step explanation:

set y = to zero and solve for x

then set x= 0 and solve for y

y=-3x-6

0=-3x-6

6=-3x

-2=x

points of x intercept (-2,0)

y=-3(0)-6

y=-6

points of the y intercept

(0,-6)

Answer:

DE ≈ 6.97

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos55° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{EF}{DE}\) = \(\frac{4}{DE}\) ( multiply both sides by DE )

DE × cos55° = 4 ( divide both sides by cos55° )

DE = \(\frac{4}{cos55}\) ≈ 6.97 ( to the nearest hundredth )