what are the factors of m squares minus 12m plus 20 ?

Answer:

28

Step-by-step explanation:

The formula in statistic to calculate cards drawn at random without replacement shows both the cards are green is given by,

P(both cards are green)

= (number of green cards / total number of cards) × ((number of green cards - 1) / (total number of cards - 1))

The formula in statistics for calculating the probability of drawing two cards at random without replacement,

Both cards are green, depends on the total number of cards and the number of green cards in the deck.

Let us consider there are N total cards in the deck.

And k of them are green.

Probability of drawing two green cards without replacement,

use the following formula,

P(both cards are green)

= (number of green cards / total number of cards) × ((number of green cards - 1) / (total number of cards - 1))

⇒ P(two green cards) = (k/N) x ((k-1)/(N-1))

First term in the formula represents the probability of drawing a green card on the first draw.

Second term represents the probability of drawing a green card on the second draw.

First card was green and hasn't been replaced.

Assumes that each card in the deck is equally likely to be drawn.

And that the two draws are independent of each other .

For example,

A deck of 52 cards,

And there are 13 green cards in the deck (4 of each suit).

The probability of drawing two green cards without replacement would be,

P(two green cards)

= (13/52) x ((12/51))

= 0.0588

Therefore, the probability of drawing two green cards without replacement is approximately 0.0588 or 5.88%.

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The above question is incomplete, the complete question is:

Two cards are drawn at random from a deck of 52 cards of four different color without replacement. What is the formula in statistic for two cards drawn at random without replacement if both cards are green ?

Answer:

27 miles

Step-by-step explanation:

2/3rds of the way home is 18 miles

2/3 d = 18

Multiply each side by 3/2

3/2 * 2/3 = 18 *3/2

d = 27

The distance is 27 miles

Answer: <less than >greater than ≥ greater than or equal to ≤ less than or equal to

Step-by-step explanation:

So, the displacement and distance traveled by the object will be equal but since the initial position is not given, the position of the object may not be equal to the distance traveled and the displacement of the object. Therefore, option C is the correct answer.

Explanation: Given, the velocity of an object moving along a line is positive. The displacement, distance traveled, and position of the object will not be equal when the velocity of an object moving along a line is positive.

The velocity of an object is given by v(t), the displacement of an object is given by ∆x = x2 − x1, where x1 is the initial position of the object and x2 is the final position of the object. The distance traveled by the object is given by d = |x2 − x1|, where ||| denotes absolute value.

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Answer:

y-intercept: 2

x-intercept: -2, 4

Step-by-step explanation:

Y-intercepts and x-intercepts are points on the graph that are on the y-axis and x-axis, respectively.

Looking at the graph, the graph passes through the y-axis at y=2. Therefore, the y-intercept is 2.

Looking at the graph, the graph passes through the x-axis at x=-2 and x=4. Therefore, the x-intercepts are -2 and 4.

These interstates provide vital transportation routes, enabling efficient connectivity between the towns. The highway system allows for convenient travel and transportation of goods and services among the interconnected towns, fostering economic development and regional connectivity.

The specific routes and intersections of these interstates play a crucial role in facilitating travel and supporting the transportation needs of the communities they serve. Interstate highways connect the six towns A, B, C, D, E, and F as follows:

- Interstate 77 (I-77) runs from town B, passes through town A, and continues to town E.

- Interstate 82 (I-82) starts from town C, goes through town D, then passes through town B, and finally reaches town F.

- Interstate 85 (I-85) begins from town D, passes through town A, and ends at town F.

- Interstate 90 (I-90) starts from town C, goes through town E, and terminates at town F.

- Interstate 91 (I-91) runs directly from town D to town E.

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Answer:

8√3

I hope this helps you

The residuals of the regression are 0.05, -0.5, 0.15, 0.07, 0.35, -0.15, -0.5, -0.15, 0.03 and 0.61

The regression equation is given as:

y = 0.138x + 1.166

Next, we calculate the predicted values (y) at the corresponding x values.

So, we have:

y = 0.138 * 18 + 1.166 = 3.65

y = 0.138 * 21.9 + 1.166 = 4.19

y = 0.138 * 18 + 1.166 = 3.65

y = 0.138 * 20 + 1.166 = 3.93

y = 0.138 * 18 + 1.166 = 3.65

y = 0.138 * 0.7 + 1.166 = 1.26

y = 0.138 * 21.9 + 1.166 = 4.19

y = 0.138 * 0.7 + 1.166 = 1.26

y = 0.138 * 16.7 + 1.166 = 3.47

y = 0.138 * 15.5 + 1.166 = 3.31

The residuals are then calculated using:

Residual = Actual value - Predicted value

So, we have:

Residual = 3.7 - 3.65 = 0.05

Residual = 3.69 - 4.19 = -0.5

Residual = 3.8 - 3.65= 0.15

Residual = 4 - 3.93 = 0.07

Residual = 4 - 3.65= 0.35

Residual = 1.11 - 1.26 = -0.15

Residual = 3.69 - 4.19 = -0.5

Residual = 1.11 - 1.26 = -0.15

Residual = 3.5 - 3.47 = 0.03

Residual = 3.92 - 3.31 = 0.61

Hence, the residuals are 0.05, -0.5, 0.15, 0.07, 0.35, -0.15, -0.5, -0.15, 0.03 and 0.61

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Answer:

The residuals of the regression are 0.05, -0.5, 0.15, 0.07, 0.35, -0.15, -0.5, -0.15, 0.03 and 0.61

How to determine the residuals?

The regression equation is given as:

y = 0.138x + 1.166

Next, we calculate the predicted values (y) at the corresponding x values.

So, we have:

y = 0.138 * 18 + 1.166 = 3.65

y = 0.138 * 21.9 + 1.166 = 4.19

y = 0.138 * 18 + 1.166 = 3.65

y = 0.138 * 20 + 1.166 = 3.93

y = 0.138 * 18 + 1.166 = 3.65

y = 0.138 * 0.7 + 1.166 = 1.26

y = 0.138 * 21.9 + 1.166 = 4.19

y = 0.138 * 0.7 + 1.166 = 1.26

y = 0.138 * 16.7 + 1.166 = 3.47

y = 0.138 * 15.5 + 1.166 = 3.31

The residuals are then calculated using:

Residual = Actual value - Predicted value

So, we have:

Residual = 3.7 - 3.65 = 0.05

Residual = 3.69 - 4.19 = -0.5

Residual = 3.8 - 3.65= 0.15

Residual = 4 - 3.93 = 0.07

Residual = 4 - 3.65= 0.35

Residual = 1.11 - 1.26 = -0.15

Residual = 3.69 - 4.19 = -0.5

Residual = 1.11 - 1.26 = -0.15

Residual = 3.5 - 3.47 = 0.03

Residual = 3.92 - 3.31 = 0.61

Hence, the residuals are 0.05, -0.5, 0.15, 0.07, 0.35, -0.15, -0.5, -0.15, 0.03 and 0.61

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Step-by-step explanation:

Answer:

c Yes, it is a proportional relationship because the graph is a straight line (and passes the vertical line test)

Step-by-step explanation:

Answer:

b ( No, it is not a proportional relationship because the graph does not go through the origin )

Step-by-step explanation:

Because it does not start at 0,0

The modified Reynolds analogy, also known as the Chilton-Colburn analogy, is expressed mathematically as Nu = f * Re^m * Pr^n. It relates the convective heat transfer coefficient (h) to the skin friction coefficient (Cf) in fluid flow. This equation is widely used in heat transfer analysis and design applications involving forced convection.

The modified Reynolds analogy is a useful tool in heat transfer analysis, especially for situations involving forced convection. It provides a correlation between the heat transfer and fluid flow characteristics. The Nusselt number (Nu) represents the ratio of convective heat transfer to conductive heat transfer, while the Reynolds number (Re) characterizes the flow regime. The Prandtl number (Pr) relates the momentum diffusivity to the thermal diffusivity of the fluid.

The equation incorporates the friction factor (f) to account for the energy dissipation due to fluid flow. The values of the constants m and n depend on the flow conditions and geometry, and they are determined experimentally or by empirical correlations. The modified Reynolds analogy is widely used in engineering calculations and design of heat exchangers, cooling systems, and other applications involving heat transfer in fluid flow.

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The trigonometric ratio sine compares the lengths of the right triangle's two sides. Sin, though commonly abbreviated to sin, is actually pronounced sine.

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Answer:

-5/9

Step-by-step explanation:

9(x+1)=4-2(9x+5)

Distribute

9x+9=4-18x-10

Add 4 and -10

9x+9=-6-18x

Move -18 to the left side and change sign

9x+9+18x=-6

Move 9 over and change sign

9x+18x=-6-9

Combine like terms

27x=-15

Divide both sides by 27

X=-5/9

Answer:

x = -5 / 9

Step-by-step explanation:

9(x + 1) = 4 - 2(9x + 5)

9x + 9 = 4 - 18x - 10

27x = -15

x = -15 / 27 or -5 / 9

Answer:

1/10 + 1/2 = 1/10 + 5/10 = 6/10

Answer:

1/10+1/2=1/10+5/10=3/5

Step-by-step explanation:

so first you need to make 1/2 have a denominator of 10 so we multiply top and bottom by 5 which gives us 5/10. Then put that in on the right side because it is equal to the left side. Finally add 1/10+5/10= 6/10 which simplifies to 3/5

hope this helps! have a great day!

A p-value of 0.001 gives strong evidence against the null hypothesis.

A p-value is a measure of the strength of evidence against the null hypothesis, which is the hypothesis that there is no statistically significant difference between two groups. A p-value of 0.001 is less than the conventional 0.05 cutoff, indicating strong evidence against the null hypothesis.

When a p-value is calculated, the null hypothesis is assumed to be true, and the p-value is the probability of observing an effect at least as large as the one in the sample data, given that the null hypothesis is true. A p-value of 0.001 is equal to the probability of observing an effect at least as large as the one in the sample data, given that the null hypothesis is true, which is 0.1%. This suggests that the likelihood of the observed effect occurring by chance is very small, and therefore we can reject the null hypothesis and conclude that there is a statistically significant difference between the groups.

In short, a p-value of 0.001 gives strong evidence against the null hypothesis.

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Using ratios and proportions on the similar triangle, the length of MK is 122.8 units

Similar triangles are triangles that have the same shape but may differ in size. They have corresponding angles that are equal, and the ratios of the lengths of their corresponding sides are proportional. In other words, if two triangles are similar, their corresponding angles are congruent, and the ratios of the lengths of their corresponding sides are equal.

In the triangles given, using similar triangle, we can find the missing side by comparing ratios and setting proportions.

JH / MK =  HI / KL

Substituting the values;

36 / MK = 17 / 58

Cross multiplying both sides;

MK = (58 * 36) / 17

MK = 122.8

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Answer:

Volume She needs to calcite the volume of the box

Answer:

48

Step-by-step explanation:

(a) The type of polar curve is a horizontal line.

(b) The polar equation that represents the graph is r = 1.

B. (a) The given polar curve is a horizontal line, which means it extends infinitely in the radial direction while maintaining a constant angle. It does not form any specific shape or pattern.

(b) The polar equation r = 1 represents a horizontal line in polar coordinates. In polar coordinates, the radial distance (r) from the origin is constant (in this case, 1) regardless of the angle (θ). This equation generates a line at a fixed distance from the origin, extending horizontally in both positive and negative x-directions.

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Answer:

12

Step-by-step explanation:

Since we know that 9 is 3/4 of what she needs you would divide 9 by 3 so we know how much 1/4 of a cup is worth.

(9/3=3) now we know she needs 3 cups of flour for 1/4 of the expression. Now we multiply 3 by 4 so we can get the answer.

(3x4=12)

Molly needs 12 cups of flour to make bread.

Hope this helps :)

\(\stackrel{3x}{R\rule[0.35em]{10em}{0.25pt}} A\stackrel{5x-12}{\rule[0.35em]{10em}{0.25pt}T} \\\\\\ 3x~~ = ~~5x-12\implies 3x+12=5x\implies 12=2x\implies \cfrac{12}{2}=x\implies \boxed{6=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\LARGE RT}}{3(6)~~ + ~~5(6)-12\implies 18+18\implies \text{\LARGE 36}}\)

Answer:

16 and 25

Step-by-step explanation:

they are square numbers

1^2 = 1 .. etc.

this is a I

There is an error 2*2 is 4 lol realised I wrote tht whoops

The smallest possible value of the perimeter of a triangle with one side given can be obtained when the other two sides are minimized. In this case, the other two sides should be as small as possible to minimize the perimeter. Therefore, the smallest possible value of the perimeter of the triangle would be equal to twice the length of the given side.

1. Let's assume that one side of the triangle is 'x'. The other two sides can be represented as 'y' and 'z'.

2. To minimize the perimeter, 'y' and 'z' should be as small as possible.

3. In this case, the smallest possible value for 'y' and 'z' would be zero, which means they are degenerate lines.

4. The perimeter of the triangle would then be 'x + y + z' = 'x + 0 + 0' = 'x'.

5. Therefore, the smallest possible value of the perimeter would be equal to twice the length of the given side, which is '2x'.

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                                               Question 1)

Given the points

Finding the slope between (3, 5) and (3, -6)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [-6 - 5] / [3 - 3]

               = -11 / 0

               = undefined or ∞

Thus, the slope of the line = m = undefined.

Note: The undefined slope means the line is vertical.

                                            Question 2)

Given the points

Finding the slope between (-6, 2) and (8, 2)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [2 - 2] / [8 - (-6)]

               = 0 / 14

               = 0

Thus, the slope of the line = m = 0.

Note: The zero slope means the line is horizontal.

The limit of the sequence as n approaches infinity is 4.

Therefore, lim n→[infinity] an = 4.

To determine whether the sequence converges or diverges, we need to find the limit of the sequence as n approaches infinity.

We can simplify the expression for the nth term of the sequence as follows:

an = 4 + 2n^2 / (2n + 3n^2)

= 4 + n / (1.5 + n)

As n approaches infinity, the denominator of the fraction approaches infinity much faster than the numerator. Therefore, the fraction approaches zero and the value of the nth term approaches 4.

In other words, as n becomes very large, the terms of the sequence become arbitrarily close to 4. Therefore, the sequence converges to 4.

Hence, the limit of the sequence as n approaches infinity is 4.

Therefore, lim n→[infinity] an = 4.

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The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

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

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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Answer:

I am assuming that you are talking about problem 2. so I will answer that.

Step-by-step explanation:

-2x + 6 ≥ 3x - 34

+2x        +2x

        6 ≥ 5x - 34

      +34       + 34

       40 ≥ 5x

       ÷5    ÷5

        8 ≥ x

So, x can be anything equal to or less than 8.

Answer:

x≤8

For the graph closed circle on 8 with the shading going to to left

Step-by-step explanation:

-2x+6≥3x-34 (given)

Subtract 6 on both sides

-2x≥3x-40

Subtract 3x on both sides

-5x≥-40

Divide by -5 on both sides

x≤8

*The sign flips because you divided by a negative (-5x)

Answer:

y=-2/7x-2

Step-by-step explanation:

Just move the 2x to the other side, then divide both sides by 7.