A Venn diagram consists of two circles, A and B. The two circles overlap to form three regions. What does the overlapping region contain?

A.
items in A or B
B.
items in A and B
C.
items not in either A or B
D.
items not in both A and B

The graph of the system of the inequalities is attached.

To graph the inequalities y < -x - 4 and y ≥ (3/5)x + 4, we can start by graphing the corresponding equations and then shade the appropriate regions based on the inequality signs.

Let's begin with the equation y = -x - 4:

Choose a range of x-values to plot.

For simplicity, let's use x-values from -10 to 10.

Substitute different x-values into the equation to find corresponding y-values.

For example:

When x = -10, y = -(-10) - 4 = 10 - 4 = 6.

When x = 0, y = -(0) - 4 = -4.

When x = 10, y = -(10) - 4 = -10 - 4 = -14.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = -x - 4.

Next, let's graph the equation y = (3/5)x + 4:

Again, choose a range of x-values to plot. Let's use the same range of -10 to 10.

Substitute different x-values into the equation to find corresponding y-values. For example:

When x = -10, y = (3/5)(-10) + 4 = -6 + 4 = -2.

When x = 0, y = (3/5)(0) + 4 = 0 + 4 = 4.

When x = 10, y = (3/5)(10) + 4 = 6 + 4 = 10.

Plot these points on the coordinate plane and draw a straight line passing through them.

This line represents the equation y = (3/5)x + 4.

Now, let's shade the regions based on the inequalities:

For y < -x - 4, we need to shade the region below the line y = -x - 4.

For y ≥ (3/5)x + 4, we need to shade the region above or on the line y = (3/5)x + 4.

Hence, the region where the shaded regions overlap represents the solution to both inequalities.

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Answer:

None

Step-by-step explanation:

Truly, I'm not sure what type of problem this is, but most people don't favor all the seasons. If there is more to the problem, I would be glad to help further.

Answer:

One possible way to estimate how many people out of 20 would say that they like all seasons is to use a simple random sample. A simple random sample is a subset of a population that is selected in such a way that every member of the population has an equal chance of being included. For example, one could use a random number generator to assign a number from 1 to 20 to each person in the population, and then select the first 20 numbers that appear. The sample would then consist of the people who have those numbers.

Using a simple random sample, one could ask each person in the sample whether they like all seasons or not, and then calculate the proportion of positive responses. This proportion is an estimate of the true proportion of people in the population who like all seasons. However, this estimate is not exact, and it may vary depending on the sample that is selected. To measure the uncertainty of the estimate, one could use a confidence interval. A confidence interval is a range of values that is likely to contain the true proportion with a certain level of confidence. For example, a 95% confidence interval means that if the sampling procedure was repeated many times, 95% of the intervals would contain the true proportion.

One way to construct a confidence interval for a proportion is to use the formula:

p ± z * sqrt(p * (1 - p) / n)

where p is the sample proportion, z is a critical value that depends on the level of confidence, and n is the sample size. For a 95% confidence interval, z is approximately 1.96. For example, if out of 20 people in the sample, 12 said that they like all seasons, then the sample proportion is 0.6, and the confidence interval is:

0.6 ± 1.96 * sqrt(0.6 * (1 - 0.6) / 20)

which simplifies to:

0.6 ± 0.22

or:

(0.38, 0.82)

This means that we are 95% confident that the true proportion of people who like all seasons in the population is between 0.38 and 0.82. Therefore, based on this sample and this confidence interval, we would expect between 8 and 16 people out of 20 to say that they like all seasons in the population.

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Answer:0.011

Step-by-step explanation:

The probability for exact 4 chickens being infected out of the 7 is ⁷C₄(0.15)⁴(0.85)³. The correct option is (A).

The binomial distribution is based on the binomial theorem which can be written as (a + b)ⁿ = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b²+ ....+ ⁿCₙa₀bⁿ.

In order to use in the probability, there should be events independent of each other and the sum of there probabilities is 1.

Given that,

The probability of the infected chicken is 15%.

Which can be written as,

P(infected) = 15%

                  = 15/100

                  = 0.15

Then, the probability of not getting infected chicken is,

P(not infected) = 1 - 0.15

                        = 0.85

The total number of chicken for test = 7.

Now, in order to find the probability of the exact 4 infected chickens, binomial distribution can be used as.

The general expression for binomial distribution is ⁿCₓpˣqⁿ⁻ˣ.

For the given case p = P(infected) and q = P(not infected), n = 7 and x = 4.

Thus, the probability is given as,

P(Exact 4 are infected) = ⁷C₄(0.15)⁴(0.85)³

Hence, the  probability that exactly 4 of the 7 chickens sampled have the virus is  ⁷C₄(0.15)⁴(0.85)³.

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The complete question is given as, "Salim has flock of 300 chickens, 15% of which are infected with virus: He plans on taking an SRS of 7 chickens to test for the virus_ Which of the following would find the probability that exactly 4 of the 7 chickens sampled have the virus? Choose answer: 1(0.15) '(0.85)? (0.15)*(0.85)4 300 ` (0.15)'(0.85)3 (0.15)3(0.85)4 (0.15)4(0.85)".

Let the y value for brand A = Y₁

when x = 2 y = 24

ANSWER

84°

EXPLANATION

The flag has to be triangular and two of the angles must be 32° and 64°.

The sum of the measures of the interior angles of any triangle is 180°. Let x be the third angle of the flag:

Solving for x:

The third angle must be 84°

Answer:

An even number

Step-by-step explanation:

Integers which are multiples of 2, are even numbers.

Integers which aren't multiples of 2, are odd numbers.

As integers can be positive and negative both, odd and even numbers also can be positive and negative.

By using the compass to measure a distance from the original line, and then transferring that distance to another point on the line, a parallel line can be drawn.

What is the parallel lines?

Parallel lines are two lines in a plane that never intersect.

1. Orientation of Lines:

Parallel lines are lines that never intersect and remain equidistant from each other at all points.

When constructing parallel lines, the lines are drawn in the same direction and maintain the same distance between them throughout their entire length. They do not meet or cross each other.

On the other hand, perpendicular lines are lines that intersect at a right angle (90 degrees). When constructing perpendicular lines, the lines are drawn so that they intersect at a right angle, forming four right angles at the point of intersection.

2. Tools/Methods Used:

Constructing parallel lines and constructing perpendicular lines may require different tools or methods.

To construct parallel lines, one common method is to use a straightedge and a compass. A straightedge is used to draw a straight line, and a compass is used to measure and transfer distances to create additional parallel lines.

Therefore, By using the compass to measure a distance from the original line, and then transferring that distance to another point on the line, a parallel line can be drawn.

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Answer:

try 72.2

Step-by-step explanation:

surface area is 3.8x3.8x6

but minus one side is 3.8x3.8x5 = 72.2

Answer:

Step-by-step explanation:

multiply the length by the width

3.8 x 3.8 = 14.44

in a cube there are 6 sides; however, it says Sarah is painting all the sides except for one so she is only painting 5 sides

14.44 x 5 = 72.2

Answer: 8,137,124

Step-by-step explanation:

You can find the answer by multiplying the number of people by the number of sq miles.
8441 * 964

Answer: -200

Step-by-step explanation:

P(t) = 800t - t²

P(600) = 800(600) - (600)²

           = 480,000 - 360,000

           = 120,000

P(400) = 800(400) - (400)²

           = 320,000 - 160,000

           = 160,000

\(\text{rate of change}=\dfrac{P(600)-P(400)}{600-400}=\dfrac{120,000-160,000}{200}=\dfrac{-40,000}{200}=-200\)

Answer:

7

Step-by-step explanation:

54.95 / 7.85= 7

Answer:

7

Step-by-step explanation:

ryan spent $54.95

price per pack is 7.85

in other words, 54.95 is 7.85 times the number of packs ryan bought

or

54.95=7.85x

divide by 7.85 on both sides

7=x

he bought 7 packs

check answer:

54.95= 7.85*7

54.95= 54.95

true

Answer:

8 is the answer...

Hope it helps

Answer:

AB = 8

Step-by-step explanation:

Given B is the midpoint of AC , then

AB = AC , that is

7x - 6 = 12 - 2x ( add 2x to both sides )

9x - 6 = 12 ( add 6 to both sides )

9x = 18 ( divide both sides by 9 )

x = 2

Then

AB = 7x - 6 = 7(2) - 6 = 14 - 6 = 8

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I believe your answer is:  

-15

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Here’s why:  

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Hope this helps you. I apologize if it’s incorrect.  

Answer:

13x+2

Step-by-step explanation:

I used the addition

Answer:

answer is a

Step-by-step explanation:

hope this helps:)

Using the concept of simple interest and compound interest, the first equation is \(S = 200(1.1)^t\), while the second is S = 250 + 20t

c. It will take over 7 years for the accounts to be equal.

The similarities between simple interest and compound interest is that both deals with saving of money over certain period of time with a fixed rate. While the difference between both is that in compound interest, the interest are compounded while in simple interest it is not. This implies that compound interest is an exponential function while simple interest is a linear function.

Simple interest = P(1 + rt)

Compound interest = P(1 + r/n)ⁿˣ

To solve this, we can write equations;

For the first scenario;

\(S = 200(1.1)^t\)

For the second scenario;

S = 250 + 20t

NB: The first case is a compound interest while the second is a simple interest.

c. To determine when the two accounts will be equal;

\(250 + 20t = 200(1.1)^t\)

Solving for t;

t = 7.01 ≈ 7 years

Therefore, it will take over 7 years for the accounts to be equal

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Answer:

3/4 x 3/4 x 3/4 = 27/64 (twenty-seven / sixty-four)

Answer:

27/64

Step-by-step explanation:

Answer: It's probably going to be C. Just a hunch!

If you half a half, you will have 2 pieces.

THIS IS JUST A GUESS! THINK BEFORE YOU RISK!

Answer:

Its C

Step-by-step explanation:

because assume you have 2 squares, having the 1/2 is like cutting a square into 4 pieces.

Answer:

The golf ball was in the air for 4 seconds.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

\(ax^{2} + bx + c, a\neq0\).

This polynomial has roots \(x_{1}, x_{2}\) such that \(ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})\), given by the following formulas:

\(x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}\)

\(x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}\)

\(\Delta = b^{2} - 4ac\)

In this question:

We have to find the amount of time it takes for the ball to hit the ground. We have that:

\(d(t) = -2t^2 + 7t + 4\)

Which is a quadratic equation with \(a = -2, b = 7, c = 4\).

How long is the golf ball in the air?

We have to find t for which \(d(t) = 0\)

So

\(-2t^2 + 7t + 4 = 0\)

\(\Delta = b^{2} - 4ac = (7)^2 - 4(-2)(4) = 81\)

\(t_{1} = \frac{-7 + \sqrt{81}}{2*(-2)} = -0.5\)

\(t_{2} = \frac{-7 - \sqrt{81}}{2*(-2)} = 4\)

Time is a positive measure, so t = 4.

The golf ball was in the air for 4 seconds.

Answer:

The hammer reaches the river after 15.8 seconds.

Step-by-step explanation:

The formula to find for how long it takes for the hammer to reach the ground is given by:

\(t = \frac{\sqrt{h}}{4}\)

In which h is the initial height.

A construction worker drops a hammer while building the Grand Canyon skywalk 4,000ft above the Colorado River.

This means that \(h = 4000\).

So

\(t = \frac{\sqrt{4000}}{4}\)

\(t^2 = \frac{4000}{16}\)

\(t^2 = 250\)

\(t = \sqrt{250}\)

\(t = 15.8\)

The hammer reaches the river after 15.8 seconds.

The linear functions that define their distances are given as follows:

The number of hours after noon in which they will be the same distance away from the stadium is of:

8 hours.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the parameters are given as follows:

In the context of this problem, the meaning of each parameter is:

They will be the same distance away at the point of intersection of the graph given at the end of the answer, which is of 8 hours.

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The missing part of the question is;

(a) Calculate the percent uncertainty in the distance.

(b) Calculate the percent uncertainty in the elapsed time.

(c) What is the average speed in meters per second?

(d) What is the uncertainty in the average speed?

Answer:

A) 0.0687%

B) 0.0312%

C) 4.389 m/s

D) 0.0044 m/s

Step-by-step explanation:

We are given;

Total Marathon distance = 42.188 km

Uncertain distance = 29m = 0.029 km

Time to complete marathon = 2 h , 40 min, and 13 s = 9613 seconds

Uncertain time = 3 seconds

A) % uncertainty in distance = (uncertain distance/total marathon distance) × 100% = (0.029/42.188) × 100% = 0.0687%

B)% uncertainty in the elapsed time = (elapsed time/total time) × 100% = (3/9613) × 100% = 0.0312%

C)average speed = total distance/total time

Total distance when converted to metres is 42188 m

Thus; average speed = 42188/9613 = 4.389 m/s

D) The percent uncertainty in the average speed is the combination of uncertainties of distance and time.

%uncertainty in speed = % uncertainty in distance + % uncertainty in the elapsed time

%uncertainty in speed = 0.0687% + 0.0312% = 0.0999%

Therefore, the uncertainty in the speed is;

δ_speed = 0.0999/100 × 4.389

δ_speed = 0.0044 m/s

Answer:

WRONG

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

You use PEDMAS - priority of calculation

1) Paranthesis

2) Exponents

3) Divide or Multiple (whichever comes first, reading left to right)

4) Add or Subtract (whichever comes first, reading left to right)

Also, there are no unknowns, all numbers are known so no chance of having multiple answers.

The linear function parallel to the line represented by y = 3x/4 - 1/2 is given as follows:

y = 3x/4 + 1/2.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

When two lines are parallel, they have the same slope.

The slope of the line y = 3x/4 - 1/2 is given as follows:

m = 3/4.

Hence the equation of the parallel line is given as follows:

y = 3x/4 + 1/2.

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If John solved the equation x² - 10x + 8 = 0 by completing the square, one of the steps in his process would be: A. (x - 5)² = 17.

In Mathematics, the standard form of a quadratic equation is represented by the following equation;

ax² + bx + c = 0

Next, we would solve the given quadratic equation by using the completing the square method;

x² - 10x + 8 = 0

x² - 10x = -8

In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:

x² - 10x + (-10/2)² = 8 + (-10/2)²

x² - 10x + 25 = -8 + 25

x² - 10x + 25 = 17

By simplifying, we have;

(x - 5)² = 17

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Answer:

brother gets 6 cards

sister gets 3 cards

he gets 15 cards

Answer:

8

Step-by-step explanation:

9514 1404 393

Answer:

  D.  Can't be determined

Step-by-step explanation:

You know that the sum of angles in a triangle is 180°, so ...

  a + x + 60 = 180

  b + y + 40 = 180

Then the difference between 'a' and 'b' is ...

  a - b = (120 -x) -(140 -y) = y -x -20

Since the values of x and y are unknown, the relative values of a and b cannot be determined.

__

Additional comment

If you know the triangles are similar (or congruent) and that the relative angle sizes are as they appear to be, then you could say a=b. There is nothing in this problem statement to indicate that is the case.

Answer:

y= -x - 8

Step-by-step explanation:

To write an equation in slope-intercept form, we naturally need both the slope and the y-intercept. Here, our y-intercept is -8, and our slope is -1. The general form of a line in slope intercept form is y = mx + b, where m is the slope and b is the y intercept. Using our values of m = -1 and b = -8 then gives us the equation y = -x - 8.