What is the slope of the line on the graph?
0 1
1/2
N
2.
х
3
4
2 4
-2

Answer:

x=4z+11/7

z = 7 x 4 − 11 /4

Step-by-step explanation:

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The probability that neither roll shows that given sum to 7 is 5/6

Let's understand what is probability?

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to express probabilities.

we have to find what is the probability that neither roll shows that given sum to 7.

if we rolled twice then we will get 6 ways such that sum will be 7.

(1 , 6) (2, 5) (3, 4) (4, 3) (5, 2) (6, 1)

So we have to remove these ways.

P(Not getting sum as 7) =  1- P(getting sum as 7)

P(Not getting sum as 7) = 1- 6/36

P(Not getting sum as 7) = 1- 1/6

P(Not getting sum as 7) = 5/6

The probability that neither roll shows that given sum to 7 is 5/6

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Linear equations - The team can bring its 24 players

What do you mean by linear equations with one variable?

A linear equation with one variable is one that can be written as ax+b = 0, where a and b are two integers, and x is a variable. This type of problem only has one solution. For instance, the linear equation 4x+4=8 only has one variable.

We are given that,

the total money raised by the lacrosse team is given to be $2863.50

bus rented at a cost of $1087.50

meal budget per person is calculated to be $74

let us assume the number of players the team can bring to the tournament to be "x".

bus rent + (meal budget * number of players) = total money raised

= 1087.50 + (74*x) = 2863.50

= 1087.50 + 74x = 2863.50

= 74x = 2863.50 - 1087.50

= 74x = 1776

= x = 1776 ÷ 74

= x = 24

Thus the team can bring its 24 players.

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The formula for the height of the banner in terms of the side length of the cardboard square, the height of the grandstand, and the distances from the person's eye level to the grandstand and the ground.

Mathematically, we can write this as:

(height of banner) / (distance from eye level to top of grandstand) = (side length of cardboard square) / (distance from eye level to bottom of square)

So, the distance from the eye level to the top of the grandstand is "s + h". We also know the distance from the person's eye level to the bottom of the square, which is "d₂ - d₁".

Putting all of this together, we can write:

(height of banner) / (s + h) = s / (d₂ - d₁)

To solve for the height of the banner, we can cross-multiply and simplify:

(height of banner) = (s² / (d₂ - d₁)) * (1 + h/s)

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Complete Question:

Zach wants to order a banner that will hang over the side of his baseball stadium grandstand and reach the ground. And then he needs to find the height for the banner so he uses a cardboard square to line up the top and bottom of the grandstand. Then he measures the distance from the grandstand and from the ground to his eye level.

Find height of the banner.

From the stem-and-leaf plot present in attached figure, the maximum value and minimum value in the data plot are equal to 17.3 and 11.6 respectively.

A stem-and-leaf display or stem-and-leaf plot is a way of presenting quantitative data in a graphical format. In this table each data value is split into two parts, first is "stem" (i.e., the first digit or digits) and second one "leaf" (the last digit).

We have a stem-and-leaf plot present on attached figure. The minimum value is defined as the first number in the plot. The maximum is the last number in the plot. Using the definitions, the maximum value in attached data plot = 17.3 ( last number). The minimum value in attached data plot = 11.6 ( first number). Hence, required values are 11.6 and 17.3.

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Complete question:

The attached figure complete the question.

The sum of the first 20 terms of the series 1,3,9+... is 1743392200.

To find the sum of the first 20 terms of the series, we need to first identify the common ratio (r) between consecutive terms. We can do this by dividing any term by its preceding term.

r = 3/1 = 3

Now, we can use the formula for the sum of the first n terms of a geometric series:

Sn = a(1 - r^n) / (1 - r)

where a is the first term, r is the common ratio, and n is the number of terms.

In this case, a = 1 (since the first term is 1), r = 3, and n = 20.

Substituting these values into the formula, we get:

Sn = 1(1 - 3^20) / (1 - 3)

Sn = (1 - 3486784401) / (-2)

Sn = 1743392200

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The average change of C with respect to t over each time interval is given below:a. [1.0, 2.0]


Average change in C with respect to t is -0.1. It is found by subtracting C(t1) from C(t2) and then dividing the result by the difference in the corresponding times [(0.16-0.35)/(2-1)]b. [1.5, 2.0]:
Average change in C with respect to t is -0.08. It is found by subtracting C(t1) from C(t2) and then dividing the result by the difference in the corresponding times [(0.16-0.22)/(2-1.5)]c. [2.0, 2.5]:Average change in C with respect to t is -0.02.
It is found by subtracting C(t1) from C(t2) and then dividing the result by the difference in the corresponding times [(0.1-0.16)/(2.5-2.0)]d. [2.0, 3.0]:Average change in C with respect to t is -0.005. It is found by subtracting C(t1) from C(t2) and then dividing the result by the difference in the corresponding times [(0.09-0.1)/(3.0-2.0)]


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Answer:

[-4,2]

Step-by-step explanation:

Salik and Maya are discussing a project that examines the relationship between the number of siblings someone has and their household income. Maya predicts that those with more siblings will have a higher household income. Salik questions whether the number of siblings is a categorical variable since it is a whole number. Our response can be : "In order to conduct this project, we need to choose two quantitative variables, which are variables that can be measured and expressed as numbers. The number of siblings is not a categorical variable because it is a continuous variable that can take on any whole number value."

The number of siblings is a quantitative variable because it can be expressed as a whole number. Household income is also a quantitative variable because it can be measured and expressed as a numerical value. Categorical variables are variables that can be divided into distinct categories or groups, such as gender, race, or occupation. The number of siblings is not a categorical variable because it is a continuous variable that can take on any whole number value.

To examine the relationship between the number of siblings and household income, Maya and Salik could use statistics to analyze their data. They could calculate descriptive statistics such as the mean and standard deviation for each variable, as well as the correlation coefficient to determine the strength and direction of the relationship between the two variables. They could also use probability theory to make predictions about the likelihood of certain outcomes, such as the probability that someone with more siblings will have a higher household income.

The complete question is:

Our classmates, Maya and Salik, are talking about the variables they want to study and how they plan to collect their samples. Here is part of their conversation. Respond in the places that say “your response.”

Double-check that both of their variables are quantitative.

Maya: I want to look at the relationship between the number of siblings someone has and the household income. I predict that those with more siblings have a higher household income.

Salik: We need two quantitative variables for this project. Wouldn’t number of siblings be categorical since it is whole numbers?

Your response:.........

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Answer:

\(y=\dfrac{1}{625}\)

Step-by-step explanation:

Given equation:

\(y=\left(\dfrac{1}{5}\right)^x\)

Substitute x = 4 into the given equation:

\(\implies y=\left(\dfrac{1}{5}\right)^4\)

\(\textsf{Apply exponent rule} \quad \left(\dfrac{a}{b}\right)^c=\dfrac{a^c}{b^c}:\)

\(\implies y=\dfrac{1^4}{5^4}\)

Simplify:

\(\implies y=\dfrac{1\times1\times1\times1}{5\times5\times5\times5}\)

\(\implies y=\dfrac{1}{25\times5\times5}\)

\(\implies y=\dfrac{1}{125\times5}\)

\(\implies y=\dfrac{1}{625}\)

Answer:

A. 2√5 + √35

Step-by-step explanation:

Product means multiplication

√5(2+√7)

= 2 × √5 + √5 × √7

= 2√5 + √35

Option A is correct

B. √45

√5(2+√7)

=√5 * 2 + √5 * √7

=√10 + √35

=√45

Option B is incorrect

C. 2√5 + 2√7

√5(2+√7)

=2√5 + 2√7

Option C is incorrect

D. √10 + √35

√5(2+√7)

=√5 * 2 + √5*√7

=√10 + √35

Option D is incorrect

Answer:

it is 1.7 hope it helps

Answer:

Step-by-step explanation:

Answer:

the answer is 134

Step-by-step explanation:

for area u need to cut the object into a cut Wich I did 5 times two and 14 times 16 then I multiplied the two number of each set then added 124 and 10 to get 134

\(-7,5 + 4,2 = -3.3\)

\(-0,9 \cdot 2,7 = -2.43\)

Answer:

            \(\bold{h=\dfrac{S-2\pi r^2}{2\pi r}=\dfrac{S}{2\pi r}-r}\)

Step-by-step explanation:

\(\bold{S=2\pi r^2+2\pi rh}\\\\\bold{2\pi r^2+2\pi rh\ =\ S}\\\\{}\qquad -2\pi r^2\quad\ \ -2\pi r^2\\\\{}\quad \bold{2\pi rh\ =\ S-2\pi r^2}\\\\\div(2\pi r)\quad\ \div(2\pi r)\\\\\bold{h=\dfrac{S-2\pi r^2}{2\pi r}=\dfrac{S}{2\pi r}-r}\)

Answer:

x = ±4 (x = 4 and x = -4)

Step-by-step explanation:

4x²-16 = x²+32

3x²-16 = 32

3x² = 48

x² = 16

x = ±4

Therefore, x = 4 and x = -4

The linear programming model aims to maximize profit by determining optimal quantities of books X, Y, and Z given constraints.

The linear programming model can be formulated as follows:

Let:

X = quantity of book X to sell

Y = quantity of book Y to sell

Z = quantity of book Z to sell

Objective function:

Maximize Profit = (7X + 5Y + 12Z) - (3X + 2Y + 4Z + 1X + 0.5Y + 0.8Z)

Subject to the following constraints:

1. Delivery expenses constraint: (1X + 0.5Y + 0.8Z) ≤ 75

2. Selling time constraint: (10X + 15Y + 12Z) ≤ 30 hours (1800 minutes)

3. Non-negativity constraint: X, Y, Z ≥ 0

The objective function aims to maximize the profit by subtracting the costs (unit costs and delivery costs) from the revenue (selling prices). The constraints limit the total delivery expenses and the total selling time within the given limits. The non-negativity constraint ensures that the quantities of books sold cannot be negative.

Solving this linear programming model would provide the optimal quantities of books X, Y, and Z to sell in order to maximize profit, considering the given constraints and pricing information.

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Answer:



Step-by-step explanation:

GraphA shows the quadratic equation with complex roots.

Answer:

Step-by-step explanation:

Answer:

200 cubic meters

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

The wording is if the equation is true then it would be a right triangle

The answer is

A. if a2+b2=c2, then the triangle is a right triangle

Answer:

A. if a2+b2=c2, then the triangle is a right triangle.

Step-by-step explanation:

After diving the polynomials, the quotient and remainder is q(x)=-x^2+1 and r(x)=-1 respectively.

What are polynomials?

The word "polynomial" is derived from the Greek words "poly" and "nominal," which combined translate to "many phrases." There is no limit to the number of terms that can exist in a polynomial.

The polynomials are -

a(x)=-x^4

b(x)=x^2+1

Divide a(x) by b(x).

-x^4/x^2+1 = -x^2+1 with remainder as -1.

The quotient is obtained as q(x)=-x^2+1 and the remainder is r(x)=-1.

The given equation is -

a(x)/b(x)=q(x)+[r(x)/b(x)]

Plugging in all the values -

-x^4/x^2+1=-x^2+1+[-1/x^2+1]

[-x^4/x^2+1]-[-1/x^2+1]=-x^2-1

-x^4+1/x^2+1=-x^2-1

-x^4+1=[-x^2+1][x^2+1]

-x^4+1=(-x)^2[x^2+1]+(1)[x^2+1]

-x^4+1=-x^4-x^2+x^2+1

-x^4+1=-x^4-1

So, LHS=RHS is proved using the equation.

Therefore, the quotient is q(x)=-x^2+1 and the remainder is r(x)=-1.

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Answer:

r² = (9 - 4)² + (6 - 4)² = 5² + 2² = 25 + 4 = 29

So the equation of this circle is

(x - 4)² + (y - 4)² = 29

a. The probability that no boats arrive in a 2-hour period is approximately 0.0003.

b. The probability that 1 boat arrives in a 2-hour period is approximately 0.0023.

c. The probability that 2 boats arrive in a 2-hour period is approximately 0.0466.

d. The probability that 2 or more boats arrive in a 2-hour period is approximately 0.9511.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.

Given that boats arrive at the inlet drawbridge according to a Poisson distribution with a rate of 4 per hour, we can use the Poisson probability formula to calculate the probabilities.

The Poisson probability mass function is given by:

P(x; λ) = \((e^{(-\lambda)} * \lambda^x) / x!\)

where x is the number of events, λ is the average rate of events.

(a) To find the probability that no boats arrive in a 2-hour period, we can calculate P(0; λ), where λ is the average rate of events in a 2-hour period. Since the rate is 4 boats per hour, the average rate in a 2-hour period is λ = 4 * 2 = 8.

P(0; 8) = \((e^{(-8)} * 8^0) / 0! = 8e^{(-8)}\) ≈ 0.0003

The probability that no boats arrive in a 2-hour period is approximately 0.0003.

(b) To find the probability that 1 boat arrives in a 2-hour period, we can calculate P(1; λ), where λ is the average rate of events in a 2-hour period (λ = 8).

P(1; 8) = \((e^{(-8)} * 8^1) / 1! = 8e^{(-8)}\) ≈ 0.0023

The probability that 1 boat arrives in a 2-hour period is approximately 0.0023.

(c) To find the probability that 2 boats arrive in a 2-hour period, we can calculate P(2; λ), where λ is the average rate of events in a 2-hour period (λ = 8).

P(2; 8) = \((e^{(-8)} * 8^2) / 2! = (64/2) * e^{(-8)}\) ≈ 0.0466

The probability that 2 boats arrive in a 2-hour period is approximately 0.0466.

(d) To find the probability that 2 or more boats arrive in a 2-hour period, we need to calculate the complement of the probability that 0 or 1 boat arrives.

P(2 or more; 8) = 1 - (P(0; 8) + P(1; 8))

P(2 or more; 8) \(= 1 - (e^(-8) + 8e^{(-8)})\) ≈ 0.9511

The probability that 2 or more boats arrive in a 2-hour period is approximately 0.9511.

Please note that the above probabilities are calculated based on the assumption of a Poisson distribution with a rate of 4 boats per hour.

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Answer:

1) 36 sides

2) 170

Step-by-step explanation:

..........

Answer:

bro just do it by ypur self

Answer:

x - .2x + .05(x - .2x)

Step-by-step explanation:

Let x = the original cost

x - .2x + .05(x - .2x)

We are taking the original cost and subtracting out the discount.

The tax is paid on the discounted cost.

You change percents to decimals by dividing by 100.

Answer:

x>2

Step-by-step explanation:

Step 1: Subtract 60x from both sides.

100x−200−60x>60x−120−60x

40x−200>−120

Step 2: Add 200 to both sides.

40x−200+200>−120+200

40x>80

Step 3: Divide both sides by 40.

40x/40> 80/40

x>2

Hope this helped :)

Step-by-step explanation:

1) 3 – 36i = 9a + 4bi

3 = 9a => a = 3/9 = ⅓

-36 = 4b => b = -36/4 = -9

2) a – 15i = -7 – (2b-3)i

a = -7

-15 = -(2b-3)

2b-3 = 15

2b = 18

b = 18/2= 9