Somebody please help me

Answer: 6/36

Step-by-step explanation:

When tossing two number cubes, you can get such sample space

(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)

There are 36 possible outcomes. Only (1,1), (2,2), (3,3), (4,4), (5,5), and (6,6) use the same number twice.

Hence, the probability that you roll two numbers that are the same in a row is 6/36, or in simplified form, 1/6.

Hope that helps! :)

I dont remember that one sorry

Step-by-step explanation:

Answer:

y = 5/12 x + 2

Step-by-step explanation:

We need to find the equation of a line that passes through two given points.

y = mx + b

First, we find the slope.

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

m = (7 - 2)/(12 - 0) = 5/12

Now we have

y = 5/12 x + b

To find the value of b, we use a point for x and y and solve for b.

y = (5/12)x + b

2 = (5/12)(0) + b

b = 2

The equation is

y = 5/12 x + 2

A) The measure of central tendency that best describes the data for time spent on the internet (min/day) is the median.

The median is the middle value in a set of data when the data is arranged in numerical order. In this case, the data arranged in numerical order is 38, 43, 48, 52, 65, 75, 120. The median value is 52, which is the middle value in the data set.

B) The measure of central tendency that best describes the data for the weight of books (oz) is the mode. The mode is the value that occurs most frequently in a data set. In this case, the data is 12, 10, 9, 15, 16, 10. The mode is 10, as it occurs twice in the data set and is the most frequent value.

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Answer:

7 im guessing, thats what i got anyway

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: (-2, -1) and (3, 14).

Step-by-step explanation:

\(\left \Bigg \{ { \bigg{y=x^{2} +2x-1} \atop \bigg {y-3x=5}} \right. ; \left \Bigg \{ { \bigg{y=x^{2} +2x-1} \atop \bigg {y=5+3x}} \right.\)

x² + 2x - 1 = 5 + 3x

x² + 2x - 1 - 5 - 3x = 0

x² - x - 6 = 0

\(General formula\\\\x=\dfrac{-b \pm \sqrt{b^{2}-4ac } }{2a} \\\\a=1; \: \: b=-1; \: \: c=-6\\\\x=\dfrac{1 \pm \sqrt{(-1)^{2}-4 \cdot1 \cdot (-6)} }{2 \cdot 1}=\dfrac{1 \pm\sqrt{25} } {2} =\dfrac{1 \pm5}{2} \\\\x_{1} = -2\\x_{2} =3\)

y = 5 + 3x

y₁ = 5 + 3 * (-2) = -1

y₂ = 5 + 3 * 3 = 14

The pair of points representing the solution set of this system of equations is (-2, -1) and (3, 14).

The probability of NOT drawing a face card from a standard deck of 52 cards is 10 over 13.

First determine the total number of face cards and non-face cards in a standard deck of 52 cards.                                   In a standard deck, there are 12 face cards (3 face cards per suit: Jack, Queen, and King, and 4 suits: Hearts, Diamonds, Clubs, and Spades). This means there are 52 - 12 = 40 non-face cards.

Now, we'll calculate the probability of NOT drawing a face card:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
Probability of NOT drawing a face card = (Number of non-face cards) / (Total number of cards)
Probability = 40 / 52

Simplify the fraction by dividing the numerator and denominator by their greatest common divisor (4):
Probability = (40/4) / (52/4)
Probability = 10 / 13

So, the probability of NOT drawing a face card from a standard deck of 52 cards is 10/13. Your answer: 10 over 13.

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Answer:

3x

Step-by-step explanation:

factoring it we get

3x(4x-3)

Answer:

84

Step-by-step explanation:

A= Bh

Base is 12

Height is 7

= 84

Answer:

84

Step-by-step explanation:

We have the graph of f(x) in the figure 1.

We have to identify the graph that corresponds to f'(x).

The graph of f(x) is:

Knowing that the first derivative represents the slope of the tangent line, we can see that f'(x) has to be negative for values of x smaller than 0 and positive for values of x greater than 0.

Also, we will have f'(0) = 0, given that we have a minimum there.

The absolute value of f'(x) increases when it approaches to x = 0 from both sides, as the slopes are more steep.

Then, the graph that satisfy this condition is:

Answer: f'(x) is graphed on Graph C.

Answer:

HK = 16

Step-by-step explanation:

12^2+x^2=20^2

x = HK

The probability that a woman tests positive given that she has breast cancer is 7/8 and the probability that a woman tests negative for breast cancer given that her test result is negative is 923/1000.

Probability is the possibility of happening an event.

Since 14 of 16 have breast cancer test positive, the probability is:

p = 14/16

p = 7/8

Therefore, the probability that a woman tests positive given that she has breast cancer is 7/8.

The number of women who test negative is:

2000 - 154

= 1846

Therefore, 1846 out of 2000 women test negative.

The probability of a woman testing negative is:

p = 1846/2000

p = 923/1000

Therefore, The probability that a woman tests negative for breast cancer given that her test result is negative is 923/1000.

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The polar equation for the orbit of Halley's comet is r = (18.09 AU)/(1 + 0.97*cos(theta)), where r represents the distance from the sun to the comet, and theta represents the angle between the major axis of the ellipse and the line connecting the sun and the comet.

The maximum distance from the comet to the sun occurs when theta is equal to 0 or 180 degrees, resulting in r = 36.18 AU.

To derive the polar equation, we start with the general equation for an ellipse in polar coordinates: r = (a*(1 - e²))/(1 + e*cos(theta)), where a is the semi-major axis and e is the eccentricity.

Given that the major axis of Halley's comet is 36.18 AU and the eccentricity is 0.97, we can substitute these values into the equation to obtain r = (18.09 AU)/(1 + 0.97*cos(theta)).

This equation represents the polar equation for Halley's comet.

The maximum distance from the comet to the sun occurs when the cosine term is equal to -1, resulting in r = 36.18 AU.

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Answer:

3 = 3/4

but 3/4= 0.75

3 = 0.75

x = 25

cross multiply

0.75x = 75

divide both sides by 0.75

x = 100

therefore 25miles represent 100inch on a map

Answer:

Step-by-step explanation:

f(x)=-1/4x-2

Function 3x²+24x-6 does not belong with the other three

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

From the option we have to simplify each function

a. f(x)=3x²+6x-24

b. f(x)=3x²+24x-6

c. f(x)=3(x-2)(x+4)

=3(x²+4x-2x-8)

=3x²+6x-24

d. f(x)=3(x+1)²-27

3(x²+1+2x)-27

3x²+3+6x-27

3x²+6x-24

So function 3x²+24x-6 does not belong with the other three

Hence, function 3x²+24x-6 does not belong with the other three

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Answer:

Step-by-step explanation:

Answer: $300

Step-by-step explanation:

To calculate the total revenue from selling oranges, we need to multiply the amount of oranges sold by the price per pound.

In this case, we sold 100 pounds of oranges at $3 per pound. So, the total revenue for that day is:

Total revenue = Amount of oranges sold × Price per pound

Total revenue = 100 pounds × $3

Total revenue = $300

A. N, B ≥ 0 (non-negativity constraint)

B. The recommended investment portfolio (in dollars) for this client can be found by reading the values in cells A1 and B1.

C.  You can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.

D. You can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.

(a)

The linear programming model to find the best investment strategy for this client can be formulated as follows:

Maximize: 0.09N + 0.08B

Subject to:

N + B ≤ 85 (maximum investment of $85,000)

N ≤ 55 (maximum investment of $55,000 in the internet fund)

6N + 4B ≤ 410 (maximum risk rating of 410 for a moderate investor)

N, B ≥ 0 (non-negativity constraint)

(b)

To solve the problem using Excel Solver, you can set up the following spreadsheet model:

Cell A1: N (amount invested in the internet fund)

Cell B1: B (amount invested in the Blue Chip fund)

Cell C1: =0.09A1 + 0.08B1 (annual return for the portfolio)

Constraints:

Cell A2: ≤ 85

Cell B2: ≤ 85

Cell C2: ≤ 55

Cell D2: ≤ 410

The objective is to maximize the value in cell C1 by changing the values in cells A1 and B1, subject to the constraints.

Using Excel Solver, set the objective to maximize the value in cell C1 by changing the values in cells A1 and B1, subject to the constraints in cells A2, B2, C2, and D2.

The recommended investment portfolio (in dollars) for this client can be found by reading the values in cells A1 and B1.

(b)

For the aggressive investor with a maximum portfolio risk rating of 450, the linear programming model remains the same, except for the constraint on the maximum risk rating.

The new constraint would be: 6N + 4B ≤ 450

Using the same spreadsheet model as before, with the updated constraint, you can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.

(d)

For the conservative investor with a maximum portfolio risk rating of 320, the linear programming model remains the same, except for the constraint on the maximum risk rating.

The new constraint would be: 6N + 4B ≤ 320

Using the same spreadsheet model as before, with the updated constraint, you can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.

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350 milliliters is equal to 11.8294 ounces.

When it comes to measuring liquids, the most common units of measurement are milliliters (mL) and ounces (oz). In order to understand the conversion of milliliters to ounces, it is important to know that there are 29.5735 milliliters in one ounce.

So, to convert 350 milliliters to ounces, you would divide 350 by 29.5735. When you do this calculation, you get 11.8294 ounces. So,

It's important to note that when you are doing these conversions, you need to be careful with the decimal places.

In summary, to convert milliliters to ounces, you simply need to divide the number of milliliters by 29.5735. 350mL is equal to 11.8294 ounces, 1000mL is equal to 33.814 ounces and 750mL is equal to 25.36576 ounces.

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Answer: 1/3

Step-by-step explanation:

multiples of 3 in bag = 3 and 6

probability = 2/6

simplified fraction = 1/3

Program State Model describes a precise mathematical description of the semantics of an executing program.

This model is used to illustrate how the program executes and to determine its behavior. It is composed of three components: states, transitions, and actions. A program state is a snapshot of the program's state at a particular point in its execution. It includes the values of variables and other resources. Transitions are the changes that occur between states, and are caused by the execution of instructions. Finally, actions are the operations that are performed by the program as it transitions from one state to the next. All of these components together provide a mathematical model for understanding the behavior of a program.

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Answer:

Nickels; 5 cents

Dimes; 10 cents

Given that she has 30 nickels:

30(nickels) x 5(a single nickel) = $1.50

2.40 - 1.50 = $0.90, those 90 cents leftovers should then be divided by 10 cents because one dime contains 10 cents and you want to figure out how many dimes there are:

90/10 = there are 9 dimes

The slope of the best least squares line through the three points (-2, 4), (0, 3), (2, 0) is -1.

Given:

Three points (-2, 4), (0, 3), (2, 0).

    x      y      x^2      xy

   -2     4        4       -8

    0     3        0        0

    2     0        4        0

∑   0     7        8       -8

\(SS_{xx}\) = ∑\(x^{2}\) - 1/n(∑x)^2

= 8 - 1/3(0)^2

= 8 - 1/3*0

= 8 - 0

= 8

\(SS_{xy}\) = ∑xy - 1/n(∑x)(∑y)

= -8 - 1/3(0)(7)

= -8 - 1/3*0

= -8 - 0

= -8

slope m = \(SS_{xy} /SS_{xx}\)

= -8/8

= -1

Therefore the slope of the best least squares line through the three points (-2, 4), (0, 3), (2, 0) is -1.

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The interquartile range of the data set is equal to 6.

The interquartile range is a measure of statistical dispersion, or data spread. The IQR is also known as the midspread, middle 50%, or middle 50%.

The interquartile range is a measurement of a data set's "middle fifty." A range is a measurement of where a set's beginning and end are located.

Given data set is 2 4 6 8 10 12. The upper range is 8 10 12 and the lower range is 2 4 6.

Calculate the median of the upper range and the lower range and subtract it.

Median upper range = 10

Median lower range = 4

The interquartile range is calculated as,

IQR = 10 - 4 = 6

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The mean of a standard normal distribution is zero (0). The standard deviation of a standard normal distribution is one (1).

A standard normal distribution is a special case of the normal distribution with a mean of zero and a standard deviation of one. It is a commonly used probability distribution in statistics, and its properties make it easy to standardize and compare different normal distributions. The value of the mean of a standard normal distribution is zero.

The standard normal distribution is important in hypothesis testing, confidence intervals, and calculating Z-scores. The value of standard deviation of a standard normal distribution is one.

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Answer:

21.25%

Step-by-step explanation:

To find the percent decrease, take the original amount and subtract the new amount

80-63 = 17

Divide this by the original amount

17/80 =.2125

Multiply by 100 to change to a percent

21.25%

The following is a function or not

1) (x,y) : (9,1), (7,2), (5,2), (3,3), (1,4) is a function

2) (x, y): (5,4), (3,10), (1,16), (3,8), (-1,6) is not a function

What is Function?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

One-to-one, one-to-many, many-to-one, and many-to-many relations are the four types of relationships we can encounter.

One-to-one: Each unique y-value has a corresponding x-value.

One-to-many: Multiple y values are associated with a single x value.

Many-to-one: The same y value is shared by many x values.

Many-to-many: Numerous x values match numerous y values.

1) (x,y) : (9,1), (7,2), (5,2), (3,3), (1,4)

In this, Each input only has one output. However, many inputs have the same output. So, this is a many-to-one function.

Hence, (x,y) : (9,1), (7,2), (5,2), (3,3), (1,4) is a function

2) (x, y): (5,4), (3,10), (1,16), (3,8), (-1,6)

In this, Here, our input of 3 results in one of two outputs, either y = 10 or y= 8.

It's not a function, this. It is still a relation, though.

Hence,  (x, y): (5,4), (3,10), (1,16), (3,8), (-1,6) is not a function

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