Please help I put a picture and have one last chance IT HAS TO BE WRITTEN IN A INEQUALITY

Therefore, the number of ways to choose a committee of size 10 with at least 2 men is: 961379655

We are to find the number of ways to choose a committee of size 10 with at least 2 men if there are 30 women in the club and 20 men in the club using set difference. We can use the following formulas: (1) A set difference B = {elements of A that are not in B} (2) The number of ways to choose k elements from n elements is represented by nCk.

(3) The complement of an event E is the set of all outcomes in the sample space that are not included in the outcome of E.(4) If E is an event, then P(E) represents the probability of E happening.(5) P(E') + P(E) = 1 (where E' is the complement of E).

To choose a committee of size 10 with at least 2 men, we can first find the total number of committees possible (which includes committees with 0, 1 or 2 men) and then subtract the committees that do not have at least 2 men. So, the total number of ways to choose a committee of size 10 is 50C10. Using the formula nCk = n!/k!(n-k)!, we can write it as follows: 50C10 = 50! / 10!40! = 10272278170.

The number of ways to choose a committee of size 10 with no men is 30C10.Using the formula nCk = n!/k!(n-k)!, we can write it as follows:30C10 = 30! / 10!20! = 30045015. The number of ways to choose a committee of size 10 with exactly 1 man is (20C1) * (30C9).Using the formula nCk = n!/k!(n-k)!, we can write it as follows:(20C1) * (30C9) = 20! / 1!19! * 30! / 9!21! = 47152200.

The number of ways to choose a committee of size 10 with exactly 2 men is (20C2) * (30C8). Using the formula nCk = n!/k!(n-k)!, we can write it as follows:(20C2) * (30C8) = 20! / 2!18! * 30! / 8!22! = 47502000. Therefore, the number of ways to choose a committee of size 10 with at least 2 men is:50C10 - 30C10 - (20C1) * (30C9) - (20C2) * (30C8)10272278170 - 30045015 - 47152200 - 47502000 = 961379655  Ways.

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After 75 minutes, a sample of 280 grams of radioactive goo has decayed to 17.5 grams. The half-life of the radioactive is 18.75 minutes.

The problem can be solved using decay model. The formula of decay system is given by:

Nt = No . e^(-λ . t)

Where:

Nt = quantity at time t

No = initial quantity

λ = decay constant = ln(2) / T

T = half life

The above formula can be rearranged to:

T = t . ln(2) / [ln(No/Nt)]

Parameters given in th problem:

No = 280 grams

t = 75 minutes

Nt = 17.5 grams

Plug these parameters into the formula:

T =  75 . ln(2) / [ln(280/17.5)]

  = 18.75 minutes

Hence, the half-life of the radioactive goo is 18.75 minutes.

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When calculating a nation’s digital power, the term that is used to refer to the demonstrated capabilities of a nation-state in cyber offense or defense is Cyberwarfare.

Cyberwarfare  can be regarded as the use of cyber attacks against a nation-state so as to produce significant harm.

It should be noted that Cyber Warfare is set of actions  which is been carried out by  nation or organization so as to be able to launch an attack on institutions' computer network systems.

The interests or reasons for cyberwarfares based on the Cybersecurity as well as Infrastructure Security Agency are;

In order to achieve the goals behind the cyberwarfare programs, it is usually designed to focus on spectrum of objectives which will bring harm to national interests.

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Answer:

Step-by-step explanation:

6x + 14 = 3x + 182

3x + 14 = 182

3x = 168

x = 56

y = 6(56) + 14

    336 + 14

   350

(56, 350)

Answer:

.68 Centiseconds

Step-by-step explanation:

A microsecond is exactly 1 x 10-6 seconds. 1 µs = 0.000,001 s. One millionth of a second.

and a centisecond is exactly 0.01 seconds. One hundredth of a second.

Im not really sure how to explain it. But I hope that I helped.

There are 0.68 Centiseconds in 6800 microseconds.

A unit conversion expresses the same property as a different unit of measurement. For instance, time can be expressed in minutes instead of hours, while distance can be converted from miles to kilometres, or feet, or any other measure of length.

Given that, Convert 6800 microseconds to centiseconds

We know that 1 centisecond = 10000 microseconds

Thereforre, 6800 microseconds = 6800/10000 centiseconds

= 0.68 Centiseconds

Hence, There are 0.68 Centiseconds in 6800 microseconds.

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Answer:

x = 11

z = 86

Step-by-step explanation:

8x + 6 and 10x-16 are vertical angles

Vertical angles are pairs of angles that are opposite each other and have the same vertex, or point of intersection. They are formed when two lines intersect at a point, and are always congruent, or of equal measure.

To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we can start by subtracting 6 from both sides of the equation:

8x + 6 - 6 = 10x - 16 - 6

8x = 10x - 22

Now we can subtract 8x from both sides of the equation:

8x - 8x = 10x - 22 - 8x

0 = 2x - 22

To solve for x, we can add 22 to both sides of the equation:

0 + 22 = 2x - 22 + 22

22 = 2x

Finally, we can divide both sides of the equation by 2 to find the value of x: 22 / 2 = 2x / 2

x = 11

Therefore, the solution to the equation is x = 11.

Now that we have x, z is a supplementary angle to 8x + 6 (or you could do 10x - 16)

Supplementary angles are pairs of angles that add up to 180 degrees. They are formed when two lines intersect at a point, and the angles formed at the intersection are supplementary.

First plug in x, 8x + 6 = 8(11) + 6 = 88 + 6 = 94

180 - 94 = z

z = 86

The speed of an object at different elevations depends on several factors such as the height of the object, the angle of inclination, and the gravitational force acting on the object. When an object is in motion, its speed changes as it moves through different elevations.

The speed of an object at different elevations depends on several factors such as the height of the object, the angle of inclination, and the gravitational force acting on the object. When an object is in motion, its speed changes as it moves through different elevations. To calculate the speed of the object, we need to use the formula: Velocity = Distance / Time

To determine the speed of the object at an elevation of 256 feet going up, we need to know the time it takes to reach that height. Once we have that information, we can calculate the speed using the formula above. The same applies to the object coming down from that height. Therefore, we need to know the total distance covered by the object to calculate its velocity.Elevation refers to the height of an object above the ground or sea level. The gravitational force acting on the object determines the object's speed as it moves through different elevations. Gravity is a force that pulls objects towards each other. The force of gravity on Earth is 9.8 m/s².

When an object is thrown up in the air, it slows down as it moves against the force of gravity until it reaches its maximum height (in this case, 256 feet). At this point, the object stops moving upwards and starts to move downwards. As the object moves downwards, it gains speed because gravity is pulling it towards the ground.The object's speed at an elevation of 256 feet can be calculated using the formula above. If we know the distance covered by the object and the time it takes to cover that distance, we can calculate the speed of the object using the formula above.

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Answer:

0.18

move the decimal one place to the left

hope this helps! <3

Answer:

0.18

Step-by-step explanation:

Answer:

A) it is positive because it has points in both the bottom left quadrant and the top right quadrant of a graph

B) slope=2/5

Step-by-step explanation:

Answer: D.

Hope it helps

The predicted college GPA for a student with a high school GPA of 3.3 and an ACT score of 31 is approximately 2.747 on a four-point scale.

To compare the models based on goodness of fit, we need to look at the adjusted R-squared values. The adjusted R-squared adjusts for the number of predictors in the model and provides a measure of how well the model fits the data while considering the degrees of freedom.

Comparing the models:

Model A: Adjusted R-squared = 0.74

Model B: Adjusted R-squared = 0.73

Model C: Adjusted R-squared = 0.72

Model D: Adjusted R-squared = 0.75

Based on the adjusted R-squared values, we can see that Model D has the highest value (0.75), indicating the best goodness of fit among the four models. Model A has the second-highest value (0.74), followed by Model B (0.73), and Model C (0.72).

Therefore, the correct answer is:

d. D>A>B>C

Now, let's move on to the second part of your question regarding predicting the college GPA of a student.

The estimated model is:

colGPA = β1 + β2 hsGPA + β3 ACT + ω1

Given:

β1 = 0.6

β2 = 0.35

β3 = 0.032

hsGPA = 3.3

ACT = 31

To predict the college GPA of a student, we substitute the values into the equation:

colGPA = 0.6 + (0.35 * 3.3) + (0.032 * 31)

= 0.6 + 1.155 + 0.992

= 2.747

Therefore, the predicted college GPA for a student with a high school GPA of 3.3 and an ACT score of 31 is approximately 2.747 on a four-point scale.

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The closed formula of h(t) and f(t) for

h(0)=f(0)=100b => h(t) = 100(2t+1), f(t) = 100(2t-1) ,

h(0)=200, f(0)=100 => h(t) = 200(2t+1), f(t) = 100(2t-1)

h(0)=600, f(0)=500 =>h(t) = 300 + 200(2t+\((-1)^{t}\)), f(t) = 200 - 100\((-1)^{t}\)

The recursive equations for the given two interacting population of hares and foxes are

h(t+1)=4h(t)-2f(t)

f(h+1)=h(t)+f(t)

for the given initial population in parts from a to c we need to create a close formula for h(t) and f(t)

h(t) = 100(2t+1)

f(t) = 100(2t-1)

h(t) = 200(2t+1)

f(t) = 100(2t-1)

h(t) = 300 + 200(2t+\((-1)^{t}\))

f(t) = 200 - 100\((-1)^{t}\)

The closed formula of h(t) and f(t) for

h(0)=f(0)=100b => h(t) = 100(2t+1), f(t) = 100(2t-1) ,

h(0)=200, f(0)=100 => h(t) = 200(2t+1), f(t) = 100(2t-1)

h(0)=600, f(0)=500 =>h(t) = 300 + 200(2t+\((-1)^{t}\)), f(t) = 200 - 100\((-1)^{t}\)

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Therefore, the volume of the given solid is approximately 110.25 cubic units.

To find the volume of the solid bounded by the coordinate planes (x = 0, y = 0, z = 0) and the plane 7x + 3y + z = 21, we need to determine the region of the solid in the positive octant (where x, y, and z are all positive).

First, let's find the intercepts of the plane with the coordinate axes:

When x = 0, we have 3y + z = 21, which gives us the y-intercept as y = 7.

When y = 0, we have 7x + z = 21, which gives us the x-intercept as x = 3.

When z = 0, we have 7x + 3y = 21, which gives us the x-intercept as x = 3 and the y-intercept as y = 7.

Therefore, the solid is bounded by the points (0, 0, 0), (3, 0, 0), (0, 7, 0), and (0, 0, 21).

To find the volume, we can use the formula:

Volume = ∫∫∫ dV

Where dV represents an infinitesimally small volume element.

In this case, since the solid is a simple triangular pyramid, we can calculate the volume as the base area multiplied by the height and divided by 3.

The base of the pyramid is a right triangle with sides of length 3 and 7, so its area is (1/2) * 3 * 7 = 10.5.

The height of the pyramid is the distance from the plane z = 0 to the plane 7x + 3y + z = 21. We can find this by substituting z = 0 into the equation:

7x + 3y + 0 = 21

7x + 3y = 21

Solving for y, we get:

y = (21 - 7x) / 3

To find the limits of integration, we set up the following bounds for x and y:

0 ≤ x ≤ 3

0 ≤ y ≤ (21 - 7x) / 3

Now, we can integrate to find the volume:

Volume = ∫[0 to 3] ∫[0 to (21 - 7x) / 3] 10.5 dy dx

Integrating with respect to y first:

Volume = ∫[0 to 3] (10.5 * [(21 - 7x) / 3]) dx

Simplifying:

Volume = 10.5 * (1/3) * ∫[0 to 3] (21 - 7x) dx

Volume = 3.5 * [21x - (7/2)x^2] evaluated from 0 to 3

Volume = 3.5 * [21(3) - (7/2)(3)^2] - 3.5 * [21(0) - (7/2)(0)^2]

Volume = 3.5 * (63 - 31.5) - 3.5 * (0 - 0)

Volume = 3.5 * 31.5

Volume ≈ 110.25

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Explanation

we can easily solve this by checking the equation

It is writen in slope- y intercept fom

hence

I hope this helps you

Answer:

  -5 < x < 6

Step-by-step explanation:

You want to know the solution to (x -6)/(x +5) < 0.

The linear factors are zero at x=6 and x=-5. At each of these points, the function (x-6)/(x+5) changes sign.

When x > 6, the signs of both factors are positive, so the inequality is not satisfied. When x < -5, the signs of both factors are negative, so the inequality is not satisfied.

For values of x between -5 and +6, the signs of the factors are different, so the inequality is satisfied.

  -5 < x < 6

__

Additional comment

When the number of negative signs in a product or quotient is odd, the result will be negative. An even number of minus signs will result in a positive product or quotient. This relationship is used to solve rational and polynomial inequalities.

If the multiplicity of a factor is even, the sign does not change when x crosses its zero. For example, (x -1)² > 0 both for x < 1 and for x > 1.

Answer:

yes

yes is answer of this equation

Answer:

answer is yes

Step-by-step explanation:

Answer:

Step-by-step explanation:

Equate the two opposite Angles

7x - 31 = 5x + 13                Subtract 5x from both sides

7x - 5x - 31 = 13                 Combine

2x - 31 = 13                        Add 31 to both sides

2x = 13 + 31                       Combine the right

2x = 44                             Divide by 2

x = 44/2

x = 22

The flour that is needed is C. 3 and StartFraction 5 Over 12 EndFractioncups

The recipe calls for a total of 3 and two-thirdscups flour and sugar. If the recipe calls for One-fourthcup of sugar, the flour that will be needed will be:

= 3 2/3 - 1/4

= 3 8/12 - 3/12

= 3 5/12

Therefore, the correct option is C.

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Using the normal distribution, it is found that 0.0228 = 2.28% of cell phone plans charge less than $42 a month for service.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem, the mean and the standard deviation are given by, respectively: \(\mu = 62, \sigma = 10\).

The proportion of cell phone plans charging less than $42 a month for service is the p-value of Z when X = 42, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{42 - 62}{10}\)

\(Z = -2\)

\(Z = -2\) has a p-value of 0.0228.

0.0228 = 2.28% of cell phone plans charge less than $42 a month for service.

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The cinnamon-scented jar candle brunt faster.

Relativity means observing some action with different perspective.

Suppose you are moving in a bus at 100 km/hr and you are reading a book.To an observer which you are passing by you and the book he observes moving at a speed of 100 km/hr.But for you the book is not moving at all because both you and the book is moving at a speed of 100 km per hour.

According to the given question Andrei had cinnamon-scented jar candle that burned for 303030 hours and a berry-scented pillar candle that burned for 888888 hours.

From the given data of burning hours we can observe that berry-scented pillar candle that burned for 888888 hours which is more that of Andrei had cinnamon-scented jar candle that brunt for 303030 hours because

30303030 < 888888.

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Answer: 0.093 chance

Step-by-step explanation:

23 black + 32 blue + 8 white = 63 total

FIRST MARBLE IS BLUE:

32/63

SECOND MARBLE IS BLACK:

23/62

LAST MARBLE IS NOT BLUE:

30/61

MATH:

32/63*23/62*31/61 = 0.093

sorry if it’s wrong but I think it’s right

Answer:

.093

Step-by-step explanation:

There are 63 marbles in the jar

P(pick a blue) = 32/63

Since you are not replacing that marble, so there are 62 marbles in the jar, 31 blue, 23 black, 8 white

P(pick a black) = 23/62

Now there are 61 marbles in the jar. 22 black, 31 blue and 8 white

P(not a blue) = 30/61

P(blue, black, not blue) = (32/63)(23/62)(30/61)

                                      = .093

the second option is more profitable

if she sells more than $ 18000 per month

Explanation

Step 1

let's check the options we have

a)

one paying ​$3,000 per month

it means, in a month , she will receive 3.000

b)$2,100 per month plus a​ 5% commission on all sales made during the month

if x represents the sales, then the formula would be

Step 2

now, to make the option 2 more profitable

solve for x

therefore, the second option is more profitable

if she sells more than $ 18000 per month

I hope this helps you

The dimensions of the rectangle will be 16 inches long and 7 inches wide,

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L × W square units

The length of a rectangular poster is 2 more inches than two times its width. The area of the poster is 112 square inches. Then the equations are given as,

LW = 112           ...1

L = 2W + 2       ...2

From equations 1 and 2, then we have

(2W + 2)W = 112

2W² + 2W - 112 = 0

W² + W - 56 = 0

W² + 8W - 7W - 56 = 0

W(W + 8) - 7(W + 7) = 0

(W + 8)(W - 7) = 0

W = 7, -8

Neglect - 8 because of negative signs. Then the length is given as,

L = 2 x 7 + 2

L = 14 + 2

L = 16

The dimensions of the rectangle will be 16 inches long and 7 inches wide,

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The Venn diagram proof illustrates that the intersection of set A with the union of sets B and C is equal to the union of the intersection of A with B and the intersection of A with C.

Draw a Venn diagram representing three sets: A, B, and C. Each set should have its own distinct region.

Label the regions corresponding to set A, set B, and set C accordingly.

To represent the intersection of sets B and C, shade the overlapping region between their respective regions.

Now, focus on set A. Shade the region that represents the intersection of A with B, and also shade the region that represents the intersection of A with C.

The left-hand side of the equation, A ∩ (B ∪ C), is represented by the shaded region where set A intersects with the union of sets B and C.

The right-hand side of the equation, (A ∩ B) ∪ (A ∩ C), is represented by the combined shaded regions of the intersection of A with B and the intersection of A with C.

By observing the Venn diagram, it is clear that the left-hand side and right-hand side have the same shaded regions, indicating that they are equal.

Therefore, the Venn diagram proof shows that A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C).

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Answer:

(5, 7)

Step-by-step explanation:

before the translation, A is (2, 5)

by adding 3 to A and 2 to y, we get (5, 7)

Answer:

Always start with the first number. The one in 1.47 is less than the 4 in 4.01, so 1.47 is less than 4.01.

Least to greatest is 1.4, 1.47, 4.01, and 4.1

Answer:

1/8.

Step-by-step explanation:

Use l'Hopitals rule - we find the derivative of top and bottom of the fraction.

Derivative of the numerator = 0 - 1/2 (16 - x)^-1/2  -1

=  1 / [ 2 * (16 - x)^1/2

Derivative of the denominator =  1

When x approaches 0 this is 1 / (2*4)

= 1/8.

Another way to do this is to multiply top and bottom by  4 + (16 - x)^1/2

This  becomes   16 - (16 - x) / x(4 + (16-x)^1/2)

= 1 / (4 + (16 + x)^1/2

When x ---> 0

this = 1 /(4 + 4)

= 1/8.

Answer:

All the sides of the square are equalso the squares are congruent.. Are congruent shapes? Two shapes that are the same size and the same shape are congruent.

hope this helps

mark me brainliest

Step-by-step explanation: