The frequency table shows the number of points scored during 30 Bulldogs
basketball games. On a piece of paper, draw a histogram to represent the
data. Then determine which answer choice matches the histogram you drew.
O
OD
Frequency
Sowanbary
10
50-99 10-41 70-79 14-23 90-99
Points
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9
T
Points scored
50-59
60-69
70-79
80-89
90-99
10
Frequency
4
5
9
8
4
50.5 60-69 70-75 80-1H-N
Points
Click here for long description
AW
34-38 12-18 28-72 14-28 20-39
Points
Click here for long description
60.54 40 70-79 80-84 HH
Points
Click here for long description

The probability of seeing at least 6 dots, but less than 10 dots when  2 fair dice are rolled is 20/36 or 5/9.

Probability is the ratio of favorable outcomes to the total possible outcomes of an event.

P(X) =n(X)/n(S)

Where the total possible outcomes are given by the sample space S and the event is X.

When two dice are rolled, the possible outcomes are 36.

The sample space is as follows:

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

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

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

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

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

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

I.e., n(S) = 36

From the about the favorable outcomes of the event - the dice showing at least 6 but less than 10 dots (sum of dots on two dice) are:

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

Thus, there are 20 such favorable outcomes. I.e., n(X) = 20

Then, the required probability is

P(X) = n(X)/n(S)

      = 20/36

      = 5/9

Therefore, the required probability is 5/9.

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Raina can run any number of laps (n) less than 8 to ensure her total running time is less than 48 minutes.

To find the possible numbers of laps Raina will run today, we can set up an inequality based on the given information.

Let's assume Raina will run n laps today, and each lap takes 6 minutes. Therefore, the total time she will take to run n laps is 6n minutes.

The problem states that Raina will run less than 48 minutes today. Therefore, we can write the inequality as:

6n < 48.

To solve this inequality for n, we need to isolate n on one side of the inequality.

Dividing both sides of the inequality by 6, we get:

n < 48/6

Simplifying the right side, we have:

n < 8

Therefore, the inequality solved for n is:

n < 8

This means that the possible numbers of laps Raina will run today are any positive integer value less than 8.

Since the number of laps cannot be negative or zero, the feasible values for n are 1, 2, 3, 4, 5, 6, and 7.

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Answer:

x times (x+1).

If it's wrong, then I'm an idiot.

Step-by-step explanation:

The total cost of the loan with yearly compounding is $34,140, with quarterly compounding is $34,262.03, and with monthly compounding is $34,331.97.

To determine the total cost of the loan under different compounding frequencies, we can use the formula for compound interest: Total cost = Principal amount + Interest. Given: Principal amount (P) = $31,840, Annual interest rate (r) = 7.5% = 0.075. Yearly compounding: To calculate the total cost with yearly compounding, we can use the formula: Total cost = P * (1 + r)^n, Where n represents the number of years.

Using the given values, the total cost with yearly compounding is: Total cost = $31,840 * (1 + 0.075)^1 = $34,140. Quarterly compounding: To calculate the total cost with quarterly compounding, we need to adjust the interest rate and the compounding period: Annual interest rate (r) = 7.5% = 0.075. Number of compounding periods per year (n) = 4. The formula for quarterly compounding is: Total cost = P * (1 + r/n)^(n*t), Where t represents the number of years. Using the given values, the total cost with quarterly compounding is: Total cost = $31,840 * (1 + 0.075/4)^(4*1) = $34,262.03

Monthly compounding: To calculate the total cost with monthly compounding, we adjust the interest rate and the compounding period again: Annual interest rate (r) = 7.5% = 0.075, Number of compounding periods per year (n) = 12, The formula for monthly compounding is:

Total cost = P * (1 + r/n)^(n*t), Using the given values, the total cost with monthly compounding is: Total cost = $31,840 * (1 + 0.075/12)^(12*1) = $34,331.97. Therefore, the total cost of the loan with yearly compounding is $34,140, with quarterly compounding is $34,262.03, and with monthly compounding is $34,331.97.

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Answer:

\(x=-1+\sqrt{6 }\)

\(x=-1-\sqrt{6 }\)

Step-by-step explanation:

\(x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}\)

Ignore the A before the ±. It wouldn't let me type it correctly.

x² + 2x - 5 = 0

a = 1

b = 2

c = - 5

\(x=\frac{-2±\sqrt{2^{2}-4((1)(-5)) } }{2(1)}\)

\(x=\frac{-2±\sqrt{4-4((1)(-5)) } }{2(1)}\)

\(x=\frac{-2±\sqrt{4+20 } }{2(1)}\)

\(x=\frac{-2±\sqrt{24 } }{2}\)

\(x=\frac{-2±\sqrt{(2)(12) } }{2}\)

\(x=\frac{-2±\sqrt{(2)(2)(6) } }{2}\)

\(x=\frac{-2±\sqrt{(2)(2)(2)(3) } }{2}\)

\(x=\frac{-2±(\sqrt{2} )(\sqrt{2})(\sqrt{(2)(3) )} }{2}\)

\(x=\frac{-2±2\sqrt{6 } }{2}\)

Two separate equations

\(x=\frac{-2+2\sqrt{6 } }{2}\)

\(x=\frac{-2-2\sqrt{6 } }{2}\)

\(x=-1+\sqrt{6 }\)

\(x=-1-\sqrt{6 }\)

-7

本题已由中国数学会官方解答（现有会员：2人）

Answer:

1) 2/11

2) 2/121

Step-by-step explanation:

1. Because there are 2 E's, you have to chances out of your 11 changes, thus why the fraction 2/11 is the solution.

2. You know that 2/11 is the first fraction, so now find R. R has a 1/11 chance of getting chosen, so you multiply 2/11 and 1/11 to get 2/121.

Answer:

1) 2/11

2) 2/121

Step-by-step explanation:

The value of the angle θ₁, located in Quadrant IV with sin(θ₁) = -13/85, is such that cosθ₁ = 84/85.

In the given scenario, the angle θ₁ is located in Quadrant IV and sin(θ₁) is given as -13/85. We can use the trigonometric identity to determine the value of cosθ₁.

Using the Pythagorean identity sin²θ + cos²θ = 1, we can substitute sin(θ₁) = -13/85:

(-13/85)² + cos²θ₁ = 1

Simplifying:

169/7225 + cos²θ₁ = 1

cos²θ₁ = 1 - 169/7225

cos²θ₁ = (7225 - 169)/7225

cos²θ₁ = 7056/7225

Taking the square root of both sides, we get:

cosθ₁ = √(7056/7225)

Since the angle θ₁ is located in Quadrant IV where cosθ₁ is positive, the value of cosθ₁ is:

cosθ₁ = √(7056/7225)

Simplifying the square root:

cosθ₁ = 84/85

Therefore, the value of the angle cosθ₁ is 84/85.

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The complete question is:

The angle θ₁ is located in Quadrant IV and  sin(θ₁) = -13/85. What is the value of the angle cosθ₁?

Answer:

-6/5

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 6 - -6)/( -18 - -8)

   = ( 6+6)/ (-18+8)

   = 12/ -10

    -6/5

Answer: x^{3}(2x+9)

Step-by-step explanation:

Eliminate redundant parentheses:

(3x^{4}+3x^{3}+5x^{2})-1(x^{4}-6x^{3}+5x^{2})

3x^{4}+3x^{3}+5x^{2}-1(x^{4}-6x^{3}+5x^{2})

Distribute:

^{4}+3x^{3}+5x^{2}{-1(x^{4}-6x^{3}+5x^{2})}

3x^{4}+3x^{3}+5x^{2}

Combine like terms UNTIL YOU FIND ONE FACTOR

Answer:

Were they both 45? I'm kinda confused on that part, but I think Ralph would be 48 and Bob would be 50

Step-by-step explanation:

Answer:

34 and 17

Step-by-step explanation:

Bob = B

Ralph = R

B=2R

B-3+R-3=45

B+R-6=45

+6         +6

B+R=51

Substitute B for 2R

2R+R=51

3R=51

R=17

2(17)=34

so B is 34 and R is 17

Solution

1.

2.

3.

Answer:

x = 26

Step-by-step explanation:

If Y= x - 12 and Y = 14

Then we input the value of y which gets us the equation of: 14 = x - 12

Now we add 12 on both sides to isolate the variable.

We ADDED 12 because we needed a way to cross out the - 12 on the right side. Now the equation would be 14+12 = x

Easily we can find that 26=x

The expression evaluates to 14x + 22.

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

3/4(24x + 28) - (4x - 1)

We can start by simplifying the expression inside the parentheses:

3/4(24x + 28) - (4x - 1)

Remove the brackets

18x + 21 - 4x + 1

Evaluate the like terms

14x + 22

So, the value of the expression evaluates to 14x + 22.

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Step-by-step explanation:

First digit :  6 choices

Second digit:  6 choices

Third digit:   3 choices   ( 2, 4 or 6 to be an even number)

6 x 6 x 3 = 108 possibles

Answer:

y ≥ -2/3x+3

Step-by-step explanation:

Use points (0,3) and (3,1) to solve for the inequality

slope= y2-y1/x2-x1

slope= 1-3/ 3-0= -2/3

Plug in the value through y=mx+b

y= -2/3x+3

Replace the equal sign with a greater than sign.

y≥ -2/3x+3

Answer:

The vertex is option C: (-6, -2)

Step-by-step explanation:

The equation for a parabola is y = a(x – h)² + k where h and k are the y and x coordinates of the vertex, respectively. Thus, the vertex is (-6,2)

Pls mark brainliest.

Answer:

2(lb+bh+hl)

Step-by-step explanation:

this the the formula

mark me brainliest

Answer:

5/6

Step-by-step explanation:

Answer: 20 inches

Step-by-step explanation:

From the question, a television screen has a length of 15 inches while the diagonal of the TV is 25 inches. To calculate the width, we will use the hypoteneous rule.

Hypotenuse² = length² + width²

25² = 15² + width²

width² = 25² - 15²

width² = 625 - 225

width² = 400

width = ✓400

width = 20

The width of the TV is 20 inches.

a.)  Probability of drawing two queens in a row (a queen and a queen) without replacement  = 0.00452

b.) Probability of drawing two queens in a row (a queen and a queen) with replacement = 0.00592

c.) Chances of drawing two queens in a row better with replacement

Define Probability

Simply put, probability is the likelihood that something will occur.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes.Statistics is the study of events that follow a probability distribution.

Given,

Total possible outcome = 52

There are 4 queens in a deck of 52 cards

a.)

Find, Probability of drawing two queens in a row (a queen and a queen) without replacement.

let, P stands for probability.

P (of drawing 1st queen) = 4 / 52

P(of drawing 2nd queen) = 3 / 51

P(drawing 2 queens in a row without replacement) =  4 / 52  *  3 / 51

                                                                                     = 0.000452

Hence, Probability of drawing two queens in a row (a queen and a queen) without replacement  = 0.00452

b.)

Find, Probability of drawing two queens in a row (a queen and a queen) with replacement

P (of drawing 1st queen) = 4 / 52

P(of drawing 2nd queen) = 4 / 52

P(drawing 2 queens in a row with replacement) = 4 / 52 * 4 / 52

                                                                               = 0.00592

Probability of drawing two queens in a row (a queen and a queen) with replacement = 0.00592

c.) Hence, the probability of with replacement is more so that's why

chances of drawing two queens in a row better with replacement

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Answer:

This has infinite solutions.

Step-by-step explanation:

Key skills needed are: One variable equations, Algebra, Adding/Subtracting Like Terms

1) We first start with the equation: 8 + 2 (x - 6 ) = -2 +2x - 2​

2) We first need to use distribution property for the parentheses.

We need to distribute the 2 to the x and the -6.

3) This would be 8 + 2x - 12 = -2 +2x - 2

4) The next thing to do is combine like terms.

Like terms are terms with the same variable, or no variable at all. 8 and 6 would be like terms, and 2x and 4x would be like terms. 2x^2 and 4x would not be like terms as one has x^2 and the other has only x.

3) Now you know what like terms are, you can implement this into the problem --> Combine the 8 and 12 on the left side  + Combine the -2 and -2 on the right side ----> 2x-4 = 2x-4

4) Since both sides have the same exact thing (both sides have 2x-4) this equation has infinite solutions.

Hope you understood and have a nice day!! :D

When x is correlated with y, it means that there exists a relationship between the two variables, where a change in one variable (x) is associated with a change in the other variable (y).

This relationship can be either positive or negative.

In a positive correlation, as the value of x increases, the value of y also increases, and as the value of x decreases, the value of y decreases as well. This indicates that both variables move in the same direction. On the other hand, in a negative correlation, as the value of x increases, the value of y decreases, and as the value of x decreases, the value of y increases. This shows that the variables move in opposite directions.

It is essential to note that correlation does not imply causation. Just because two variables are correlated does not mean that one variable causes the other to change. There could be other factors or variables that influence the observed relationship between x and y. Additionally, the strength of the correlation can vary, with values close to 1 or -1 representing a strong relationship and values close to 0 representing a weak relationship or no relationship at all.

In conclusion, when x is correlated with y, it means that there is a relationship between the two variables that can be either positive or negative, but this does not necessarily imply causation. The strength of the relationship can also vary, depending on the correlation coefficient value.

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Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

The concept of hedonistic calculus is associated with utilitarianism and the philosophy of maximizing pleasure and minimizing pain. It is a method for calculating the overall happiness or utility of actions based on the intensity, duration, certainty, propinquity, fecundity, purity, and extent of pleasure or pain they produce.

Hedonistic calculus is a term coined by the philosopher Jeremy Bentham, who was a proponent of utilitarianism. Utilitarianism is an ethical theory that states that the right action is the one that maximizes overall happiness or utility for the greatest number of people. The goal of hedonistic calculus is to measure and compare the happiness or pleasure derived from different actions or situations.

According to Bentham, pleasure and pain are the only relevant factors in determining the moral value of an action. Hedonistic calculus involves quantifying these pleasures and pains in order to assess their overall impact. Bentham proposed seven criteria to evaluate the intensity, duration, certainty, propinquity (nearness in time), fecundity (likelihood of leading to more pleasure or pain), purity (absence of pain mixed with pleasure), and extent of the pleasure or pain produced by an action.

By assigning values to each of these criteria, hedonistic calculus aims to determine the net amount of happiness or utility generated by a particular action or decision. The idea is to maximize pleasure and minimize pain, with the ultimate goal of promoting the greatest happiness for the greatest number of individuals.

Overall, hedonistic calculus provides a systematic approach to assess and compare the consequences of actions based on their impact on pleasure and pain. It serves as a framework for utilitarians to make ethical judgments and decisions by considering the net balance of happiness produced by different choices.

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subtract 2.2 and 41.5:

The expression to subtract the numbers will be :

In this, the sign of the result will be like the sign of the greatest number

As 41.5 is greater than 2.2, the sign will be (-)

then subtract 2.2 from 41.5

so, the answer will be :

Based on the exponential decay equation, the value of the new car purchased for $17,900 that depreciates at 12.25% per year after 10 years is $4,845.34.

An exponential decay equation is one of the two exponential functions, the other being an exponential growth equation or function.

An exponential decay equation is written in the form of y = abˣ, where y is the ending value after time x (the exponent), a is the initial value, and b is the decay factor.

The cost of the new car to be purchased = $17,900

The annual depreciating rate = 12.25%

The depreciation period = 10 years

Let the value of the car after 10 years = y

Decreasing or decay factor = 0.8775 (1 - 0.1225)

y = 17,900(0.8775)¹⁰

y = 4845.34

y = $4,845.34

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Suppose dorothy drops a ball from a height of 10 feet. after the ball hits the floor, it rebounds 65% of its previous height.The formula that represents the height of the ball after its nth bounce is given by

\(y = (0.65)^n \times 10 feet.\)

When a ball is dropped from a height of 10 feet, it rebounds to 65% of its previous height each time it bounces.

To find the height of the ball after the nth bounce, we need to use a geometric sequence formula,

which is given by

\(y = ar^n-1,\)

where a is the initial term,

r is the common ratio, and

n is the number of terms.

Here, a = 10 feet,

r = 0.65, and

n is the nth term or

the number of times the ball bounces after it is dropped for the first time.

Therefore, the formula that represents the height of the ball after its nth bounce is given by

\(y = (0.65)^n \times 10 feet.\)

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Here are the graphs of the given equations, along with the x-intercepts and vertex for each:

a) y = x:

The graph of y = x is a straight line with a slope of 1 and passes through the origin (0, 0). It has no vertex.

    |

    |

    |

-----|-----

    |

    |

    |

x-intercept: (0, 0)

Vertex: N/A

b) y = x(x - 1):

The graph of y = x(x - 1) is a quadratic function. It is a parabola that opens upward. The vertex of the parabola can be found using the formula x = -b / (2a). In this case, a = 1 and b = -1.

x = -(-1) / (2 * 1) = 1/2

Substituting x = 1/2 into the equation, we can find the y-coordinate of the vertex:

y = (1/2)(1/2 - 1) = (1/2)(-1/2) = -1/4

Therefore, the vertex of the parabola is (1/2, -1/4).

To find the x-intercepts, we set y = 0 and solve for x:

0 = x(x - 1)

x = 0 or x - 1 = 0

x = 0 or x = 1

The x-intercepts are (0, 0) and (1, 0).

    |         *

    |      *

    |   *

-----|--------

    |

    |

    |

x-intercepts: (0, 0), (1, 0)

Vertex: (1/2, -1/4)

c) y = x(x - 1)(x + 1):

The graph of y = x(x - 1)(x + 1) is a cubic function. It is a curve that passes through the x-intercepts at (0, 0), (1, 0), and (-1, 0). To find the vertex, we can use symmetry.

The x-intercepts are already given as (0, 0), (1, 0), and (-1, 0).

Since the function is an odd-degree polynomial, it does not have a vertex in the traditional sense. Instead, it has a point of inflection at x = 0.

    |         *      *

    |       *   *

    |    *

-----|--------

    |

    |

    |

x-intercepts: (0, 0), (1, 0), (-1, 0)

Vertex: N/A (Point of inflection at x = 0)

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