A table titled inequality symbols contains the symbols for less-than and greater-than.

Check all that are inequalities.

-3 = y

t > 0

-4. 3 < a

g = 5 and one-half

k less-than Negative Start Fraction 5 Over 7 End Fraction

x = 1

P(3 to 7) = P(3) + P(4) + P(5) + P(6) + P(7).To solve the given probabilities, we can use the binomial probability formula:

P(x) = C(n, x) * p^x * (1 - p)^(n - x)

Where:

- P(x) is the probability of exactly x successes

- C(n, x) is the number of combinations of n items taken x at a time

- p is the probability of success for each trial

- n is the number of trials

Given that 8% (0.08) of all Americans live in poverty, and we are selecting 36 Americans randomly, we can calculate the following probabilities:

a) Probability that exactly 1 of them live in poverty:

P(1) = C(36, 1) * (0.08)^1 * (1 - 0.08)^(36 - 1)

b) Probability that at most 2 of them live in poverty:

P(at most 2) = P(0) + P(1) + P(2)

             = C(36, 0) * (0.08)^0 * (1 - 0.08)^(36 - 0) + C(36, 1) * (0.08)^1 * (1 - 0.08)^(36 - 1) + C(36, 2) * (0.08)^2 * (1 - 0.08)^(36 - 2)

c) Probability that at least 1 of them live in poverty:

P(at least 1) = 1 - P(0)

d) Probability that between 3 and 7 (including 3 and 7) of them live in poverty:

P(3 to 7) = P(3) + P(4) + P(5) + P(6) + P(7)

Using the formula and the provided values, we can calculate these probabilities.

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The population of birds to increase by 50% in 31.25 years.

The differential equation for the population of birds is:

dp/dt = 0.016P

where P is the population of birds and t is time in years.

To obtain the time it takes for the population to increase by 50%, we need to solve for t when P increases by 50%.

Let P0 be the initial population of birds, and P1 be the population after the increase of 50%.

Then we have:

P1 = 1.5P0 (since P increases by 50%)

We can solve for t by integrating the differential equation:

dp/P = 0.016 dt

Integrating both sides, we get:

ln(P) = 0.016t + C

where C is the constant of integration.

To obtain the value of C, we can use the initial condition that the population at t=0 is P0:

ln(P0) = C

Substituting this into the previous equation, we get:

ln(P) = 0.016t + ln(P0)

Taking the exponential of both sides, we get

:P = P0 * e^(0.016t)

Now we can substitute P1 = 1.5P0 and solve for t:

1.5P0 = P0 * e^(0.016t

Dividing both sides by P0, we get:

1.5 = e^(0.016t)

Taking the natural logarithm of both sides, we get:

ln(1.5) = 0.016t

Solving for t, we get:

t = ln(1.5)/0.016

Using a calculator, we get:

t ≈ 31.25 years

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Answer:

6.4

Step-by-step explanation

The reason is that the nearest hundreth is 6.4 because 9 rounded up would be 10

Answer:

Step-by-step explanation:

I see three equations that represents the first step. All the others (I think) have flaws of one kind or another.

Third

The third one divides both sides of the equation by 3. All that remains on the left is what is inside the brackets. 24/3 becomes 8 which what equation 3 says.

x + 6 = 24/3

x + 6 = 8

Fourth

Shows how the distributive property is performed. It does this with great care. The right side is not affected.

3*x + 6*3 = 24       is what is the result. It is a good first step.

Five

This one is a little iffy. It is more like the second step. You have taken the fourth choice and removed the brackets.  If you can do this in your head, I think it counts.  I'm not sure how to answer what you should do. You're darned if you do and darned if you don't. My opinion is that it is perfectly OK but your marker may not agree.

Answer:m<c=120

Step-by-step explanation:

You set the two expressions equal to each other solve for x and then plug in x to one expression to get the angle.

After that add the two angles together and subtract them from 360 divide by two and you’ll get the other two angles.

This usually only applies to parallelograms.

I hope this helps it’s been awhile since I’ve done this so if it sounds like gibberish I worked out the problem as a better explanation.

Answer:

15371.68

Step-by-step explanation:

First you need to find the area of the semi circle so for that you just have to find the area of a whole circle using the diameter and then divide it by two because it is a semicircle. The area of the semi circle is pi * 20^2 / 2 which equals 628.32. The all you have to do is subtract that from the area of the door which is 16000.

Parallel lines are defined as lines that do not intersect or meet at any point in a plane. They are always parallel and equidistant from one another.

What is answer parallel line?

In geometry, parallel lines can be defined as two lines in the same plane that are at equal distance from each other and never meet. They can be both horizontal and vertical.

Parallel lines are two lines in the same plane that are equal distance apart and never intersect.

Real-world parallel line examples include railroad tracks, sidewalk edges, street markings, zebra crossings, the surface of pineapple and strawberry fruit, staircases and railings, and so on.

Parallel lines are lines in a plane that never meet, no matter how far they are extended. The distance between the parallel lines is constant because they never meet.

Parallel lines are defined as lines that do not intersect or meet at any point in a plane. They are always parallel and equidistant from one another.

these are 8 parallel lines

2x+3y = 6

2x+3y = 4

2x+3y = 1

2x+3y = 2

2x+3y = 3

2x+3y = 8

2x+3y = 7

2x+3y = 5

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-3+-7....The answer is minus 10

Answer:its a lot of money

Step-by-step explanation:

Answer:

Students born in 2000= 300*(1/4)=75 students

Students born in 1999= 75*2=150 students

Students born in 2001=150*(1/3) =50 students

Students born in 1998=50*(1/2) =25 students

Answer:

17,19,21

Step-by-step explanation:

let the first odd number be "x"

formular : (x)+(x+2)+(x+4).

3x+6=57

3x=57-6

3x=51

x=51/3

x=17

apply the formular.

17,(17+2),(17+4)

17,19,21.

Imani uses less flour in her cookies than Vic because vic uses 25 / 17 g of flour while Imani uses 25 / 21 g of flour.

How much "stuff" is contained in a specific quantity of space is determined by its density. For instance, a block of the harder, lighter element gold (Au) will be denser than a block of the heavier element lead (Pb) (Au). Styrofoam blocks are less dense than bricks. Mass per unit volume serves as its definition.

A substance's density is a measurement of how heavy it is in relation to its size. When placed in water, an object will float if its density is lower than that of the water, whereas it will sink if its density is higher.

if we see Vic's recipe:

170 g of butter = 250 g of flour

1 g of butter = 250 ÷ 170

= 25 / 17 g of flour

and Imani's recipe:

630 g of butter = 750 g of flour

1 g of butter = 750 ÷ 630 = 25 / 21 g of flour

Compare:

25 / 21 < 25 / 17

so Imani uses less flour in her cookies than Vic

moreover imani's cookies are more dense.

Therefore, we get that Vic uses more flour than imani.

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Step-by-step explanation:

cos50 = x/53

0.64 = x/53

x = 0.64×53

= 33.92

Answer: The answer is D

Answer:

182857142857/100000000000

The correct option is C) Valid; because points A, B, and C are non collinear, they must determine plane G.

For the given question;

Given: If three points are noncollinear, they determine a plane. Points A, B, and C lie in plane G.

Conclusion: Points A, B, and C are non collinear.

Thus, the option C best described the given situation as, Valid; because points A, B, and C are noncollinear, they must determine plane G.

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Hence, in answering the stated question, we may say that We can travel slope intercept down 3 units and right 1 unit to acquire another point on the line because the slope is -3.

The intersection point in mathematics is the point on the y-axis where the slope of the line intersects. a point on a line or curve where the y-axis intersects. The equation for the straight line is Y = mx+c, where m represents the slope and c represents the y-intercept. The intercept form of the equation emphasises the line's slope (m) and y-intercept (b). The slope of an equation with the intercept form (y=mx+b) is m, and the y-intercept is b. Several equations can be reformulated to seem to be slope intercepts. When y=x is represented as y=1x+0, the slope and y-intercept are both set to 1.

We must solve for y in order to find the slope-intercept form of the equation:

6x + 2y = 4

2y = -6x + 4

y = -3x + 2

As a result, the slope is -3 and the y-intercept is 2.

To graph the line, first plot the y-intercept at the point (0, 2). The slope can then be used to find another point on the line. We can travel down 3 units and right 1 unit to acquire another point on the line because the slope is -3.

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After 10 days, the expected number of shoppers at the shopping mall is 163.

It is given that the number of shoppers increases daily by 5% from the number of shoppers the previous day.

As we can see that the increase in the number of shoppers is going to change every day, and the above case is compounded daily.

The formula of compound increase is

Amount = Base X (1 + r/n)ⁿˣ

where,

Base = original amount

r = rate of change

n = no. of times the change occurs in the time period

t = time

Here,

Base = 100

r = 5/100

n = 1, since it changes once every day

x = 10

Therefore we get

100 X (1 + 5/100)¹⁰

= 100 X 1.05¹⁰

162.88

Since the number of people cannot be in decimal,

the expected number of people is 163

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Answer:

1005.3 ft³

Step-by-step explanation:

cylinder has a base diameter of 8ft and a height of 20ft. What is it's volume in cubic ft, to the nearest 10th place?

Given that:

Base diameter = 8feets

Radius, r = 8/2 = 4 feets

Height h, = 20 feets

Volume of cylinder, V = πr²h

V = π * 4² * 20

V = π * 16 * 20

V = 1005.3096

V = 1005.3096 ft³

The probability of the monkey picking a red candy from any of the bottles is 0.75.

Let L, M, S be the events that the monkey chooses the largest, mid-size and small bottle respectively.P(R) be the probability that the monkey chooses a red candy from the chosen bottle.

P(B) be the probability that the monkey chooses a blue candy from the chosen bottle.

P(L) = 0.5 (Given)

P(M) = 0.4 (Given)

P(S) = 1 - P(L) - P(M) = 0.1 (Since there are only three bottles)

Now, P(R/L) = 8/10

P(B/L) = 2/10

P(R/M) = 5/12

P(B/M) = 7/12

P(R/S) = 4/6

P(B/S) = 2/6

Now, Let's find the probability of the monkey picking a red candy:

P(R) = P(L)P(R/L) + P(M)P(R/M) + P(S)P(R/S)

P(R) = 0.5 × 8/10 + 0.4 × 5/12 + 0.1 × 4/6

P(R) = 0.75

The probability of the monkey picking a red candy from any of the bottles is 0.75.

Therefore, the correct answer is 0.75.

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The issue of too many proficient business-savvy programmers is least likely to arise in machine learning(ml) and artificial intelligence(ai).

What is machine learning?

The process by which computers learn to recognize patterns, or the capacity to continuously learn from and make predictions based on data, then make adjustments without being specifically programmed to do so, is known as machine learning (ML), a subcategory of artificial intelligence.

The operation of machine learning is quite complicated and varies according to the task at hand and the algorithm employed to do it. However, at its foundation, a machine learning model is a computer that analyzes data to spot patterns before using those realizations to better fulfill the work that has been given to it. Machine learning can automate any task that depends on a set of data points or rules, even the more difficult ones.

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Answer: k = 32

Step-by-step explanation:

k/8 - 1 = 3         We add 1 on both sides

+1          +1

k/8 = 4          Now we have to multiply by both sides to isolate the k

x8     x8

k = 32

11. The general solution to the differential is \(y^{3}\) + (2y - 2x - y/x)\(y^{2}\) + \(x^{2}\)\(y^{2}\) = C

12.The general solution to the differential is y = (-\(x^{2}\)/2 + C) / x

11.To determine the value of b for which the equation is exact, we must first find the partial derivative of (xy^2 + bx^2y) with respect to y, and the partial derivative of (x + y)x^2 with respect to x. If these two expressions are equal, then the equation is exact.

Partial derivative of (xy^2 + bx^2y) with respect to y:

∂/∂y (xy^2 + bx^2y) = 2xy + bx^2

Partial derivative of (x + y)x^2 with respect to x:

∂/∂x [(x + y)x^2] = 2x(x + y)

To make these two expressions equal, we must have:

2xy + bx^2 = 2x(x + y)

Simplifying this equation gives:

b = 2y/x - 2 - y/x^2

Now that we have found the value of b for which the equation is exact, we can use it to solve the equation. Rearranging the equation, we get:

xy^2 + bx^2y + (x + y)x^2y' = 0

Substituting the value of b we found above, we get:

xy^2 + (2y/x - 2 - y/x^2)x^2y + (x + y)x^2y' = 0

Simplifying this equation, we get:

y^3 + (2y - 2x - y/x)y^2 + x^2y^2 = C

where C is the constant of integration.

12.To determine the value of b for which the equation is exact, we must first find the partial derivative of ye^(2xy) + x with respect to y, and the partial derivative of bxe^(2xy) with respect to x. If these two expressions are equal, then the equation is exact.

Partial derivative of ye^(2xy) + x with respect to y:

∂/∂y (ye^(2xy) + x) = 2xye^(2xy)

Partial derivative of bxe^(2xy) with respect to x:

∂/∂x [bxe^(2xy)] = 2bxye^(2xy)

To make these two expressions equal, we must have:

2xye^(2xy) = 2bxye^(2xy)

Simplifying this equation gives:

b = 1

Now that we have found the value of b for which the equation is exact, we can use it to solve the equation. Rearranging the equation, we get:

ye^(2xy) + x + bxe^(2xy) y' = 0

Substituting b = 1, we get:

ye^(2xy) + x + xe^(2xy) y' = 0

Dividing both sides by e^(2xy), we get:

y + xe^(2xy) y' / e^(2xy) = -x

Simplifying this equation, we get:

y + xy' = -x

This is a linear differential equation, which we can solve by separating the variables and integrating:

dy/dx + y/x = -1

Multiplying both sides by x, we get:

xdy/dx + y = -x

This is the product rule form, so we can integrate both sides:

xy = -x^2/2 + C

where C is the constant of integration.

Solving for y, we get:

y = (-x^2/2 + C) / x

Therefore, the general solution to the differential is y = (-x^2/2 + C) / x

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Answer:

523

Step-by-step explanation:

the game

Answer:

(-2,-4)

Step-by-step explanation:

Graph it and you would find that (-2,2) is 3 units higher than the line y=-1. So you would reflect it across by starting at (-2,-1) and count downwards, 3 to get (-2,-4).

The distribution of the probability of the given data is a Positive Skewed Probability distribution.

Given to us

A spinner is divided into five sections numbered 1 through 5. Juana records the number the spinner lands on for each of the 50 spins. She computes and graphs the relative frequencies for each number

It is a type of distribution in which the distribution has a constant probability, therefore, the probability of each event occurring is equal.

Symmetric distribution is the type of distribution where the left side of the distribution and the right side of the distribution are mirror images to each other, therefore, they are symmetrical.

Negatively Skewed Probability distribution is a type of distribution of the probability where the right side(tail) of the distribution is more concentrated than the right side.

Positive Skewed Probability distribution is a type of distribution of the probability where the left side of the distribution is more concentrated than the right side.

Since in the given graph probability of every number occurring from 2 to 5 is equal to 0.12(12%), while the probability of number 1 occurring is 0.5(50%).

Thus, the distribution of the probability is towards the right end of the graph.

Hence, the distribution of the probability of the given data is a Positive Skewed Probability distribution.

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Answer:b

b b b bb b b b b b b b b b b b b b b b b b b b b  b b b  b  b b b b

Step-by-step explanation: