seven men and two women are semifinalists in a lottery. from this group, three finalists are to be selected by a drawing. what is the probability that all three finalists will be men? (enter your probability as a fraction.)

Answer: Slope = 0

y2-y1.......3-2.......1

——— = ——- = —- = 0

x2-x1........1-1........0

(1,2,4)

Range describes the y-values of a graph.

Range

Range is the y-values that a graph covers. Remember that the y-values are found on the vertical axis. If the graph is not continuous, then the values between the points are not included in the range. Similar to the range, the domain of a graph is the x-values that a graph covers. If there is a coordinate point with a y-value, then that y-value should be included in the range.

Finding Range

In order to find the range, we need to find all the unique y-values of the graph. Additionally, the range is given in numerical order. This means starting from the least value and going up to the greatest. The lowest y-value is 1, then 2, and finally 4. Even though there are two points where y = 2, we are only looking for unique values. This means that the range is (1,2,4).

The slope of the line given in the graph will be [m] = - 0.78.

The general equation of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept.

Given is the graph of a straight line.

The line passes through the coordinates as follows -

(- 1.8, 0)        [lying on x-axis]

(0, - 1.4)        [lying on y-axis]

The slope of the line can be calculated using the formula -

m = (y₂ - y₁)/(x₂ - x₁)

m = (- 1.4 - 0)/(0 + 1.8)

m = - 1.4/1.8

m = - 0.78

Slope of the line will be -0.78.

Therefore, the slope of the line given in the graph will be [m] = - 0.78.

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Answer:

This relation is a function--each value of x corresponds to exactly one value of y.

Yes, the statement "if x is rational and y is irrational, then x + y is irrational" is true.

To understand why, let's break it down step by step:

1. First, let's define what it means for a number to be rational or irrational:
  - A rational number is a number that can be expressed as the ratio of two integers, where the denominator is not zero.
  - An irrational number is a number that cannot be expressed as the ratio of two integers.

2. Given that x is rational and y is irrational, we can express x and y as follows:
  - x = a/b, where a and b are integers and b is not zero.
  - y = c, where c is an irrational number.

3. Now, let's consider the sum x + y:
  - x + y = (a/b) + c

4. To prove that x + y is irrational, we'll assume the contrary, that is, x + y is rational. This means we can express x + y as the ratio of two integers:
  - x + y = p/q, where p and q are integers and q is not zero.

5. We can rewrite this equation as follows:
  - (a/b) + c = p/q

6. Rearranging the equation, we get:
  - (a/b) = (p/q) - c

7. Since (p/q) is a rational number and c is an irrational number, the right side of the equation (p/q) - c would be the difference between a rational and an irrational number.

8. However, the difference between a rational number and an irrational number is always irrational. Therefore, the right side of the equation is irrational.

9. This contradicts our assumption that (a/b) is rational, leading us to conclude that x + y must be irrational.

In conclusion, if x is rational and y is irrational, then x + y is always irrational.

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Answer:

C - 1/81

Step-by-step explanation

There are 6 sides on a standard die (1, 2, 3, 4, 5, 6). Out of these numbers, only 3 and 6 are divisible by 3. Therefore, 2/6 numbers would be divisible by 3. As the die is rolled 4 times, we multiply 2/6 4 times - (2/6)(2/6)(2/6)(2/6) to get 1/81. The probability that the die shows a number divisible by three all four times is 1/81. Hope that helps!

Answer:

18 +2

Step-by-step explanation:

it's like 3x you just add each side 3 then you will get the answer. and the (+2) stays the same.

Answer:

The relationship between the number of oranges and their price is proportional. so the answer is true

Answe

Step-by-step explanation:

cuanto es 3,072 en fraccion ?

Answer:

C

Step-by-step explanation:

So to do this problem, first find the area of the figure before you apply the scale factor, and then multiply that by 49. The reason you multiply it by 49 and not 7 is because you're multiplying both the length and the width of the figure by 7, so you have 7 * 7 = 49.

The area of the figure to start is 10 (you can find this by simply counting the blocks).

Then, 10 * 49 = C. 490 units squared.

hope that makes sense!

The amount of money left with Dalton on gift card is given by the equation

9.95 + m = 25

Given data ,

Let the total amount of money on the gift card be = $ 25

Now , the amount of money spent on restaurant = $ 9.95

So , the amount of money left is

m = 25 - 9.95

On simplifying the equation , we get

m = $ 15.05

Hence , the amount left is m = $ 15.05

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The number of elements in the sample space for this experiment is 969.

If a person eating at a cafeteria must choose 3 of 19 vegetables on offer, we can calculate the number of elements in the sample space, or the total number of possible outcomes, using the formula for combinations:

nCr = n! / [r!(n - r)!]

where n is the total number of items in the set and r is the number of items being chosen.

In this case, we have 19 vegetables and we want to choose 3 of them, so we can plug in n = 19 and r = 3:

19C3 = 19! / [3!(19 - 3)!]

= 19! / (3!)(16!)

= 969

Therefore, there are 969 possible combinations of 3 vegetables that a person can choose from a selection of 19 vegetables.

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Answer:

x = -3

y = -6

Step-by-step explanation:

\(y = 6 + 4x \\ - 5x - (6 + 4x) = 21 \\ - 9x - 6 = 21 \\ - 9x = 27 \\ x = - 3 \\ y = 6 + (4 \times - 3) = - 6\)

The equations for Bulk Volume of a reservoir in ft³ is VB = A*h and in barrels is VB = (A*h) / 5.615. The equations for Pore Volume of a reservoir in ft³ is VP = φ*VB and in barrels is VP = (φ*VB)/5.615. The equations for Hydrocarbon Pore Volume in ft³ is VHC = φ*S*VB and in barrels is VHC = (φ*S*VB)/5.615.

The equations for calculating the bulk volume, pore volume, and hydrocarbon pore volume of a reservoir are as follows:

1. Bulk Volume (VB):

Where:

VB = Bulk Volume

A = Cross-sectional area of the reservoir in square feet (ft²)

h = Thickness of the reservoir in feet (ft)

2. Pore Volume (VP):

Where:

VP = Pore Volume

φ = Porosity of the reservoir (dimensionless)

VB = Bulk Volume

3. Hydrocarbon Pore Volume (VHC):

Where:

VHC = Hydrocarbon Pore Volume

φ = Porosity of the reservoir (dimensionless)

S = Saturation of hydrocarbons in the reservoir (dimensionless)

VB = Bulk Volume

The conversion factor from cubic feet (ft³) to barrels (bbl) is 5.615.

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Answer:

(y-6)/(4+r)=x

Step-by-step explanation:

y=4x+rx+6

y-6=4x+rx

y-6=x(4+r)

divide both sides by (4+r)

(y-6)/(4+r)=x

Answer:

4, 5, 6, 7, 8

and

k≥4

hope this helps! :)

Answer:

false

Step-by-step explanation:

One meter is equal to 100 centimeters.

Now, we need to know 3.06 meters in centimeters:

Use the rule of three to find this value

1meter-------------------- 100cm

3.06------------------------- x cm

Where x is = (3.06*100)/1

Then x=306

The ceiling is 306 centimeters tall.

30:80 is greater

Step-by-step explanation:

6:15=2:5=30:80=15:40

Answer:

EVERYONE THAT HAS WATCHED GINNY AND GEORGIA PLEASE GO REVEIW THE SHOW AND GIVE IT 5 STARS. WE NEED A SEASON 2 ..

The Steady-state gain can be found using the formula Kp = lim s->0 G(s).

A. (a) The inverse Laplace transform of the function 8 /s² (s+2) is given by f(t) = 8(t - e^(-2t)).

B. (a) To find the inverse Laplace transform of 8 /s² (s+2), we can use partial fraction decomposition and inverse Laplace transform tables.

First, we express the function in partial fraction form as follows: 8 /s² (s+2) = A/s + B/s² + C/(s+2).

To find the values of A, B, and C, we can equate the coefficients of corresponding powers of s in the numerator and denominator. This leads to the equations A + 2B + 2C = 0, A = 8, and B = -8.

Substituting the values of A and B into the equation A + 2B + 2C = 0, we find C = 4.

Now, we have the partial fraction decomposition as: 8 /s² (s+2) = 8/s - 8/s² + 4/(s+2).

Using inverse Laplace transform tables, we find the inverse Laplace transforms of each term: L⁻¹{8/s} = 8, L⁻¹{8/s²} = 8t, and L⁻¹{4/(s+2)} = 4e^(-2t).

Finally, we combine the inverse Laplace transforms of each term to obtain the inverse Laplace transform of the original function: f(t) = 8(t - e^(-2t)).

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The probability density function for a normal distribution N(68, 5) reaches its maximum height at x = 68, which is the mean of the distribution. The function does not touch the x-axis at μ±30.

The probability density function (PDF) for a normal distribution is bell-shaped and symmetrical around its mean. In this case, the mean (μ) is 68, and the standard deviation (σ) is 5.

(a) To find the x value at which the PDF reaches a maximum, we look at the mean of the distribution, which is 68. The PDF is highest at the mean, and as we move away from the mean in either direction, the height of the PDF decreases. Therefore, the x value at which f(x) reaches a maximum is x = 68.

(b) The PDF of a normal distribution does not touch the x-axis at μ±30. The x-axis represents the values of x, and the PDF represents the likelihood of those values occurring. In a normal distribution, the PDF is continuous and never touches the x-axis. However, the PDF becomes close to zero as the values move further away from the mean. Therefore, the probability of obtaining values μ±30, which are 38 and 98 in this case, is very low but not zero. So, the PDF does not touch the x-axis at μ±30, but the probability of obtaining values in that range is extremely small.

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Answer:

8.5

Step-by-step explanation:

Answer:

3^2

Step-by-step explanation: When the bases of two exponents are the same (in this case, they are both 3), and they are being multiplied, then their powers will be added together. -4 plus 6 is 2, so the new exponent will be 3^2.

Answer:

14.598

Step-by-step explanation:

When you round that number to the nearest hundredth, you'll get 14.6. Hope this helps.

Answer:

9

Step-by-step explanation:

It's really not that hard

Answer:

16 ft.

Step-by-step explanation:

A=LW

Area=Length times Width

We have the area and the Width.

112=Lx7

112÷7=L

L=16

The Length (n) is 16ft.

(a) Compounded annually: $191.87

(b) Compounded quarterly: $191.89

(c) Compounded continuously: $191.90

To determine the present equivalent value of $400 paid over a period of 7 years in each situation, we need to calculate the present value using the respective compounding methods and interest rates.

(a) Compounded Annually:

The formula to calculate the present value with annual compounding is:

PV = FV / (1 + r)^n,

where PV is the present value, FV is the future value (amount paid), r is the interest rate per compounding period, and n is the number of compounding periods.

Given:

FV = $400,

r = 12% = 0.12 (decimal form),

n = 7 years.

Substituting the values into the formula, we have:

PV = 400 / (1 + 0.12)^7.

Calculating this value, we find:

PV ≈ $191.87.

Therefore, the present equivalent value of $400 paid over 7 years with an interest rate of 12% compounded annually is approximately $191.87.

(b) Compounded Quarterly:

The formula to calculate the present value with quarterly compounding is:

PV = FV / (1 + r/n)^(n*t),

where n is the number of compounding periods per year (4 for quarterly compounding), and t is the number of years.

Given:

FV = $400,

r = 12% = 0.12 (decimal form),

n = 4 (quarterly compounding),

t = 7 years.

Substituting the values into the formula, we have:

PV = 400 / (1 + 0.12/4)^(4*7).

Calculating this value, we find:

PV ≈ $191.89.

Therefore, the present equivalent value of $400 paid over 7 years with an interest rate of 12% compounded quarterly is approximately $191.89.

(c) Compounded Continuously:

The formula to calculate the present value with continuous compounding is:

PV = FV * e^(-r*t),

where e is the base of the natural logarithm (approximately 2.71828), and t is the number of years.

Given:

FV = $400,

r = 12% = 0.12 (decimal form),

t = 7 years.

Substituting the values into the formula, we have:

PV = 400 * e^(-0.12*7).

Calculating this value, we find:

PV ≈ $191.90.

Therefore, the present equivalent value of $400 paid over 7 years with an interest rate of 12% compounded continuously is approximately $191.90.

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