How are the key features of a linear function identified and interpreted from a description?
Help I’m dying with math lol

There are a total of 3 x 10 x 10 = 300 possible combinations of suits, ties, and shirts that a person can select from. However, when selecting a traveling wardrobe, there are only 10 possible suit combinations, 10x10 = 100 possible tie combinations, and 10x10x10 = 1000 possible shirt combinations. This makes a total of 10 x 100 x 1000 = 100,000 possible selections of two suits, four ties and six shirts.

The sheer number of possible combinations indicates how important it is to choose wisely. The two suits should be complementary and appropriate to the occasion; the four ties can be chosen to match the suits, and the six shirts should be selected to mix and match with the ties and suits. Care should be taken to avoid repeating clothing items, and the person should also consider the climate and purpose of the trip in order to select the most suitable wardrobe.

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Answer: J

Step-by-step explanation: hope its correct

Hi!

The answer to your question would be J

Here's the math to prove it:

Step 1) You need to add all of the number of tiles together.

9+7+3+6=25

Step 2) You need to take each of your tile numbers and divide them by 25.

9/25=0.36 So F would be true

7/25=0.28 So G would be true

6/25=0.24 So H would be true

3/25=0.12 So J would be not true.

I hope this helps!

Have an amazing day/night!

God bless!

<33

To see the steps of  sum a column in Excel on a Mac.

Now, According to the question:

1. Click the first empty cell below a column of numbers.

2. Do one of the following: Excel 2016 for Mac: : On the Home tab, click  AutoSum. Excel for Mac 2011: On the Standard toolbar, click AutoSum. ...

3. Press RETURN .

How do you sum cells on a Mac?

Once the cells are selected, press the Command key and the = (equal sign) key at the same time. This will automatically sum the selected cells. If you want to sum a specific range of cells, you can do so by selecting the first cell in the range, pressing the Shift key, and then selecting the last cell in the range.

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Answer:

5

Step-by-step explanation:

A proportional relation has the following equation:

y = kx

where k = constant of proportionality.

Plug in any given ordered pair into x and y and solve for k.

Let's us (7, 35).

35 = k * 7

k = 35/7 = 5

Answer: The constant of proportionality is 5.

Answer:

2250

Step-by-step explanation:

X =6

7x2 10

7*(6)2 *10

7*36* 10

225*10

2250

The ball traveled approximately \(26.27\) units in total.

To calculate the distance the ball traveled, we can use the distance formula between two points in a Cartesian coordinate system.

Distance = \(\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1} )^{2} }\)

Let's calculate the distance between Player A and Player B first:

Distance_AB =

\(\sqrt{((16-2)^{2}+(9-4)^{2}) }\)

\(= \sqrt{(14^{2}+5^{2} ) } \\= \sqrt{(196 +25)} \\= \sqrt{221} \\= 14.87\)

Now, let's calculate the distance between Player B and Player C:

Distance_BC =

\(\sqrt{ ((25 - 16)^2 + (16 - 9)^2)}\\= \sqrt{ (9^2 + 7^2)}\\= \sqrt{(81 + 49)}\\= \sqrt{130}\\=11.40\)

Finally, we can calculate the total distance traveled by adding the distances AB and BC:

Total distance = Distance_AB + Distance_BC

\(= 14.87 + 11.40 \\= 26.27\)

Starting from Player A at \((2, 4),\) it was thrown to Player B at \((16, 9),\) covering a distance of about \(14.87\) units. From Player B, the ball was then thrown to Player C at \((25, 16),\) covering an additional distance of approximately \(11.40\) units.

Combining these distances, the total distance the ball traveled was approximately \(26.27\) units.

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To find the factorial moment generating function (MGF) of a random variable X with a given probability mass function (PMF), px (x) = x!, we can use the formula for the MGF.

The factorial moment generating function (MGF) of a random variable X with PMF px(x) = x! can be calculated using the formula MGF(t) = \(\sum(px(x)\) × \(e^{tx}\)).

For this specific PMF, we have px(x) = x! Plugging this into the MGF formula, we get MGF(t) = Σ(x! × \(e^{tx}\)).

To find the mean and variance from the MGF, we can differentiate the MGF with respect to t. The n-th derivative of the MGF evaluated at t=0 gives the n-th factorial moment of X.

In this case, the first derivative of the MGF gives the mean, and the second derivative gives the variance. So, we differentiate the MGF twice and evaluate the derivatives at t=0.

By performing these calculations, we can find the mean and variance of X based on the given PMF. The factorial moment generating function provides a useful tool for deriving moments and statistical properties of the random variable.

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(a) The probability that all 11 women dislike their mother-in-law is approximately 0.209.

(b) The probability that none of the 11 women dislike their mother-in-law is approximately 0.002.

(c) The probability that at least nine of the 11 women dislike their mother-in-law is approximately 0.995.

(d) The probability that no more than eight of the 11 women dislike their mother-in-law is approximately 0.996.

This problem can be approached using the binomial distribution, which models the number of successes in a fixed number of independent trials with the same probability of success.

Let p be the probability that a randomly chosen married woman dislikes her mother-in-law, based on the sociologists' claim. Then, we have p = 0.8.

(a) To find the probability that all 11 women dislike their mother-in-law, we can use the binomial distribution with n = 11 and p = 0.8:

P(X = 11) = (11 choose 11) × 0.8^11 × 0.2^0 ≈ 0.209

(b) To find the probability that none of the 11 women dislike their mother-in-law, we can use the binomial distribution again

P(X = 0) = (11 choose 0) × 0.8^0 × 0.2^11 ≈ 0.002

(c) To find the probability that at least nine of the 11 women dislike their mother-in-law, we can use the complement rule and find the probability that fewer than nine dislike their mother-in-law

P(X < 9) = P(X = 0) + P(X = 1) + ... + P(X = 8)

Using the binomial distribution for each term, we get

P(X < 9) ≈ 0.005

Therefore, the probability that at least nine of the 11 women dislike their mother-in-law is approximately 1 - 0.005 = 0.995.

(d) To find the probability that no more than eight of the 11 women dislike their mother-in-law, we can again use the binomial distribution and add up the probabilities of X = 0, 1, ..., 8:

P(X ≤ 8) = P(X = 0) + P(X = 1) + ... + P(X = 8)

Using the binomial distribution for each term, we get

P(X ≤ 8) ≈ 0.996

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Answer:

About 5.5% decrease

Step-by-step explanation:

Here, we want to calculate the percentage increase or decrease and its value.

The first thing to do here is to check if we are going to have a decrease or an increase.

since the value before the change is higher than the value after the change, then what we have is a decrease.

Mathematically, the percentage decrease is calculated as follows;

% decrease = (old value - new value)/old value * 100%

old value = 163 feet

new value = 154 feet

% decrease = (154-163)/163 * 100%

% decrease = -9/163 * 100%

% decrease = -5.52%

Thus the best answer is about 5.5% decrease

Answer:

Step-by-step explanation:

D

Answer:

D. 14x + 3y

Step-by-step explanation:

2x + 3(y + 4x)

2x + 3y + 12x

= 14x + 3y

In hypothesis testing, the critical value refers to the value of a test statistic that divides all possible values into an acceptance region and a rejection region.

The null hypothesis is a statement that assumes there is no significant difference between two or more variables. The probability, 1-alpha, represents the level of significance that is set before conducting a hypothesis test. This probability is used to determine the critical value, which is the point beyond which the null hypothesis will be rejected. The critical value is important because it helps to determine whether a sample result is statistically significant or not. By comparing the test statistic to the critical value, we can decide whether to reject or accept the null hypothesis.

Therefore, he critical value is a key factor in determining the validity of a hypothesis test and plays a crucial role in explaining the probability of avoiding type I and type II errors.

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Answer:

1

Step-by-step explanation:

simple math..

Therefore, the truth value of Proposition 2A is False.

To determine the truth value of Proposition 2A, let's substitute the given truth values for the variables:

A = True

B = True

X = False

Y = False

Now let's evaluate the truth value of each component of the proposition:

(X ⊃ A) • (B ⊃ ∼ Y):

(False ⊃ True) • (True ⊃ ∼ False)

(True ⊃ True) • (True ⊃ True)

True • True

True

(B ∨ Y) • (A ⊃ X):

(True ∨ False) • (True ⊃ False)

True • False

False

[(X ⊃ A) • (B ⊃ ∼ Y)] ⊃ [(B ∨ Y) • (A ⊃ X)]:

True ⊃ False

False

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the solution to the system of equations is x = 2 and y = 1.

To solve the system of equations by substitution, we will solve one equation for one variable and substitute it into the other equation.

Given the system of equations:

1) y = 6x - 11

2) -2x - 3y = -7

Step 1: Solve equation (1) for y.

  y = 6x - 11

Step 2: Substitute the value of y from equation (1) into equation (2).

  -2x - 3(6x - 11) = -7

Step 3: Simplify and solve for x.

  -2x - 18x + 33 = -7

  -20x + 33 = -7

  -20x = -7 - 33

  -20x = -40

  x = (-40)/(-20)

  x = 2

Step 4: Substitute the value of x into equation (1) to find y.

  y = 6(2) - 11

  y = 12 - 11

  y = 1

Therefore, the solution to the system of equations is x = 2 and y = 1.

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The solution to the system of equations y = 6x - 11 and -2x - 3y = -7 is x = 2 and y = 1. This is achieved by substituting y into the second equation, simplifying, and solving for x, then substituting x back into the first equation to solve for y.

To solve the system of equations y = 6x - 11 and -2x - 3y = -7 by substitution, we start by substituting the equation y = 6x - 11 into the second equation in place of y, giving us -2x - 3(6x - 11) = -7. Next, simplify the equation by distributing the -3 inside the parentheses to get -2x - 18x + 33 = -7. Combine like terms to get -20x + 33 = -7. Subtract 33 from both sides to obtain -20x = -40, and finally, divide by -20 to find x = 2.

Once we find the solution for x, we substitute it back into the first equation y = 6x - 11. Substituting 2 in place of x gives y = 6*2 - 11, which simplifies to y = 1.

Therefore, the solution to the system of equations is x = 2 and y = 1.

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The correct option for the given question is 1/3 distance from the fulcrum which is option B according to the balance rule.

On a balanced seesaw, the torques around the fulcrum calculated on one side and on another side must be equal. This means that the:\(W_1 d_1 = W_2 d_2\)

where we label the things here,

\(W_1\) is the weight of the boy

\(d_1\) is its distance from the fulcrum

\(W_2\) is the weight of his partner

\(d_2\) is the distance of the partner from the fulcrum

We know that the boy is three times heavier than his companion in this situation, so

\(W_1 = 3 W_2\)

If we plug this into the equation, we get:

\((3 W_2) d_1 = W_2 d_2\)

and by simplifying:

\(3 d_1 = d_2\\\\d_1 = \frac{1}{3}d_2\)

From the above equation, we get that the boy sits at 1/3 the distance from the fulcrum.

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The cubic function that passes through the points P(-2,-1), Q(-1,7), R(2,-5), and S(3,-1) is P(x) = 2x³ - 7x² - 2x + 3.

To determine the cubic function that passes through the given points, we need to substitute the x and y coordinates of each point into the general cubic function P(x) = a₀ + a₁x + a₂x² + a₃x³ and solve the resulting system of equations.

Using the coordinates of point P(-2,-1), we have:

-1 = a₀ - 2a₁ + 4a₂ - 8a₃ ... (Equation 1)

Using the coordinates of point Q(-1,7), we have:

7 = a₀ - a₁ + a₂ - a₃ ... (Equation 2)

Using the coordinates of point R(2,-5), we have:

-5 = a₀ + 2a₁ + 4a₂ + 8a₃ ... (Equation 3)

Using the coordinates of point S(3,-1), we have:

-1 = a₀ + 3a₁ + 9a₂ + 27a₃ ... (Equation 4)

Solving this system of equations, we find that a₀ = 3, a₁ = -2, a₂ = -7, and a₃ = 2.

Therefore, the cubic function that passes through the given points is P(x) = 2x³ - 7x² - 2x + 3.


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Answer:

\(x=-1,\:y=-1\)

Step-by-step explanation:

\(\begin{bmatrix}-6x+5y=1\\ 6x+4y=-10\end{bmatrix}\)

\(\mathrm{Add\:the\:equations}\)

\(6x+4y=-10\)

\(+\)

\(\underline{-6x+5y=1}\)

\(9y=-9\)

\(\begin{bmatrix}-6x+5y=1\\ 9y=-9\end{bmatrix}\)

Solve 9y=-9 for y: y=-1

\(\mathrm{For\:}-6x+5y=1\mathrm{\:plug\:in\:}y=-1\)

Solve -6x+5(-1)=1 for x: x=-1

\(\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\)

\(x=-1,\:y=-1\)

Answer:

Step-by-step explanation:

the odds of choosing a ginger ale is 1/21

Answer:

1) Reflection in the x-axis

A' = (-2, -3)

2) Rotation of 180° clockwise about the origin

A'' = (2, 3)

3) Translation of 3 units down and 4 units to the right

A''' = (6, 0)

Step-by-step explanation:

The transformations are as follows;

1) Reflection in the x-axis

Here the x-coordinate is the same and the y-coordinate changes sign.

Therefore, we have;

A (-2, 3)

After reflection in the x-axis becomes A' = (-2, -3)

2) Rotation of 180° clockwise about the origin

When, a point (x, y) is rotated 180° clockwise about the origin, it becomes (-x, -y)

Therefore, we have;

A' = (-2, -3) becomes A'' = (2, 3)

3) Translation of 3 units down and 4 units to the right

Translation of 3 units down and 4 units to the right = \(T_{(4, -3)\)

Which gives

A''' = (2 + 4, 3 - 3) = (6, 0).

Answer:

12 R cm

Step-by-step explanation:

Answer: The value of e^(-∞) (e to the power of negative infinity) is equal to zero.

To see why, recall that e is a positive constant approximately equal to 2.71828. As the exponent approaches negative infinity, e^(-∞) represents the limit of a number getting closer and closer to zero but never actually reaching zero.

We can use the limit definition to evaluate the limit of e^(-x) as x approaches infinity:

lim e^(-x) = 0

x→∞

To see this, note that as x becomes very large, the denominator e^x becomes very large, causing the fraction to approach zero. Since the limit of e^(-x) as x approaches infinity is zero, we can say that e^(-∞) is also equal to zero.

In summary, e^(-∞) = 0.

Step-by-step explanation:

Answer:

The correct answer is 6 jars can be used

Step-by-step explanation:

According to the given scenario, the calculation of the number of jars needed is shown below:

The 1 1 ÷ 2 liters means = 3 ÷ 2 liters

And, the paint is divided into 1 ÷4  liter jars

So, the number of jars needed is

= (3 ÷ 2) ÷ ( 1 ÷ 4)

= (4 × 3) ÷ 2

= 6 jars needed

Therefore the number of jars needed is 6 jars

Answer:

3089/11220

Approximately = 0.2753

Step-by-step explanation:

Patel estimates that he needs 2 cups of Orange juice.

But let's know the amount he already has.

4/17 + 3/10 + 9/20 + 3/11 + 7/15

= 3/10 + 9/20 + 7/15 + 3/11 + 4/17

=( 18 + 27 + 28)/60 + (51+44)/187

= 73/60 + 95/187

=( 13651 + 5700)/11220

= 19351/11220

= 1(8131/11220)

So to complete it two he needs ( 11220-8131)/11220= 3089/11220

Approximately = 0.2753

Answer:

1/6 is your answer.

The largest interval I over which the solution is defined is (-∞, ∞).               I = (-∞, ∞)

To solve the given initial-value problem, we can use the method of separation of variables as follows:
1. Separate the variables by moving all terms with y to the left side of the equation and all terms with x to the right side:
y/y' = ex/x
2. Integrate both sides of the equation with respect to their respective variables:
∫y/y' dy = ∫ex/x d
ln(y) = ex + C
3. Solve for y:
y = e^(ex + C)
4. Use the initial condition y(1) = 9 to find the value of C:
9 = e^(e + C)
C = ln(9) - e
5. Substitute the value of C back into the equation for y:
y = e^(ex + ln(9) - e)
6. Simplify the equation:
y = 9e^(ex - e)
7. The largest interval I over which the solution is defined is (-∞, ∞), since there are no restrictions on the values of x or y therefore, the solution to the initial-value problem is y(x) = 9e^(ex - e) and the largest interval I over which the solution is defined is (-∞, ∞).

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The reading that separates the highest 11.58% from the rest is 1.22°C.

To find the reading that separates the highest 11.58% from the rest, we need to find the z-score corresponding to the upper 11.58% of the standard normal distribution.

Step 1: Convert the percentile to a z-score using the standard normal distribution table. The upper 11.58% corresponds to a lower percentile of 100% - 11.58% = 88.42%.

Step 2: Look up the z-score corresponding to the 88.42% percentile in the standard normal distribution table. The z-score is approximately 1.22.

Step 3: Use the formula z = (x - μ) / σ to find the reading (x) that corresponds to the z-score.

Rearranging the formula, we have x = μ + z * σ.

Given that the mean (μ) is 0°C and the standard deviation (σ) is 1.00°C, we can substitute these values into the formula.

x = 0 + 1.22 * 1.00

= 1.22°C.

Therefore, the reading that separates the highest 11.58% from the rest is 1.22°C.

The reading that separates the highest 11.58% from the rest is 1.22°C.

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An arithmetic sequence is a sequence of numbers in which each term is the sum of the previous term and a constant difference. In this case, we are given the first term and the common difference, and we need to find the term number of a given output. Therefore, the term number of the output 47 is 10.

To find the term number, we need to write an explicit rule for the sequence. The formula for the nth term of an arithmetic sequence is:
an = a1 + (n-1)d
where a1 is the first term, d is the common difference, and n is the term number.
In this case, we know that the first term is 2 (a1 = 2) and the common difference is 5 (d = 5). We also know that one of the terms is 47 (a_n = 47).
We can plug these values into the formula and solve for n:
47 = 2 + (n-1)5
47 - 2 = 5n - 5
45 = 5n - 5
50 = 5n
n = 10
Therefore, the term number of the output 47 is 10.
In conclusion, to find the term number of an output in an arithmetic sequence, we need to write an explicit rule for the sequence using the formula for the nth term. Then we can plug in the values we know and solve for the unknown term number.

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Answer:

16 liters of water is needed for the 40lbs of mortar

Step-by-step explanation:

40*0.4=16

Where 40 is the lbs of moarter, and 0.4 is the amount of liters per pound, meaning the answer is 16 liters of water for 40 pounds.

Work Shown:

1 pound of mortar : 0.4 liters of water

40*(1 pound of mortar) : 40*(0.4 liters of water)

40 pounds of mortar : 16 liters of water

slope=99

subtracting the y values gives you -1-98= -99

subtracting the x values gives you -38-(-39)= -1

-99/-1= 99/1

Answer:

-1/99

Step-by-step explanation:

slope= -38-(-39)/-1-98

= -1/99

Respuesta:

176

Explicación paso a paso:

Dado :

La frecuencia máxima del pulso que se debe mantener durante las actividades aeróbicas viene dada por:

0,88 (220-A); donde A = edad

Para una persona de 20 años

Supongamos que la edad es de 20 años; A = 20

Poniendo A = 20 en la ecuación;

0,88 (220 - A); A = 20

Frecuencia de pulso máxima:

0,88 (220 - 20)

0,88 (200)

= 176

La frecuencia de pulso máxima es 176