Current Attempt in Progress The following table lists the monthly incomes (in hundreds of dollars) and the monthly rents paid (in hundreds of dollars) by a sample of six families. Monthly Income Monthly Rent 24 7.0 16 4.5 19 6.5 31 12.0 10 4.5 27 8.5 What is the 99% confidence interval for the mean monthly rent of all families with a monthly income of $2500, rounded to the nearest penny?

The event of the selection of drawing a marble is not fair

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

Number of marbles = 6

Red = 4

Others = Yellow and Green

For the selection to be fair, the probability of selecting each marble must be the same

In this case, we have

P(Red) = 4/6

P(Yellow) = 1/6

P(GReen) = 1/6

This means that the selection is not fair

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Answer:

Integers

Step-by-step explanation:

The number of points Wyatt has left is 58.

If Wyatt loses 7 points every time he falls off a rock and he falls off 6 rocks, he will lose a total of 42 points (7 x 6 = 42). To find out how many points he has left, we can subtract 42 from his starting points of 100:

100 - 42 = 58

Therefore, Wyatt has 58 points left after falling off 6 rocks in the Rock Climber video game.

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Please find the graph file in the attached file and proving can be defined as follows:

As the given graph:

\(\to \bold{AE || CD}\)

So,  

\(\to \bold{\angle AEC=\angle DCE }\\\\\)

AS  

\(\to \bold{AB || CE}\)

So,  

\(\to \bold{\angle ABC=\angle ECF \ \ \ \ \ \text{parallel property}}\\\\\to \bold{\angle CDE=\angle DCF +\angle CFD \ \ \ \ \ \ \ \ \ \text{property of sum of outer angle of a traingle}} \\\\\)

AS

\(\to \bold{\angle ABC =\angle CDE} \\\\\)

So  

\(\to \bold{\angle ABC=\angle DCF +\angle CFD = \angle ECF}\\\\\to \bold{\angle ECF= \angle DCF +\angle DCF \ \ \ \ \ \ \ \ \ \ \text{angle exchange}}\\\\\)

So,

\(\to \bold{\angle DCF +\angle CFD = \angle DCE+ \angle DCF}\\\\\to \bold{\angle DCE =\angle CFD = \angle AEC}\\\\\)

 So,

\(\to \bold{\angle AEC= \angle CFD}\)

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nice

Step-by-step explanation:

Answer:

you have to take away you word they said how many

The linear equation y = x - 5 show's Evie's net loss or gain

Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable. If the linear equation has two variables, then it is called linear equations in two variables and so on.

In solving this problem, we have to write the problem in a form of linear equation.

Let;

y = x + 4 - 9

y = x - 5

The equation to show Evie's net gain or loss is y = x - 5

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Answer:

6.39 pounds, 102.29 ounces.

Step-by-step explanation:

The weight of baby in pounds and ounces are:  6.39 pounds , 102.29 ounces.

We have the following information available from the question is:

A newborn baby weighs 2900 grams.

We have to calculate the weight of baby in pounds and ounces.

Now, According to the question:

The weight of baby is = 2900 gm

We know that :

1gm = 0.00220462 pounds

so, 2900 × 0.00220462 = 6.39 pounds

Now, 1gm = 0.035274

So, 2900 × 0.035274

=> 102.29 ounces.

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Given:

The population of the bacteria at the beginning = 80

the population grows according to a continuous exponential growth model.

after 14 days, there are 216 bacteria. ​

y = the number of bacteria after time t

So, the general relation between y and t will be:

We need to find the values of a and b

At t = 0 y = 80

So,

When t = 14 , y = 216

So,

so, the function will be:

Part b: we need to find the number of bacteria after 23 days

So, substitute with t = 23

so,

so, after 23 days the number of bacteria = 409

The value of the expression is 1/100.

We have,

To solve this expression, we can use the division property of fractions which states that dividing by a fraction is the same as multiplying by its reciprocal.

So, we have:

1/20 ÷ 5

= 1/20 x 1/5  (reciprocal of 5 is 1/5)

= 1/100   (multiply numerator with numerator and denominator with denominator)

Therefore,

The simplified result is 1/100.

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There are 18 different triples of natural numbers with a sum of 10, considering (1,8,1) and (8,1) as the same triple as (1,1,8).

To find the number of different triples of natural numbers with a sum of 10, we can consider different cases based on the value of the first number in the triple.

Case 1: The first number is 1.

In this case, we need to find the number of ways to represent 10 as a sum of the remaining two numbers. Since we have already considered (1,8,1) and (8,1) as the same triple as (1,1,8), we only need to find the ways to represent 10 using two numbers, excluding 1. The possible pairs are:

(2,8), (3,7), (4,6), (5,5)

Case 2: The first number is 2.

In this case, we need to find the number of ways to represent 8 as a sum of the remaining two numbers. The possible pairs are:

(1,7), (3,5), (4,4)

Case 3: The first number is 3.

In this case, we need to find the number of ways to represent 7 as a sum of the remaining two numbers. The possible pairs are:

(1,6), (2,5), (4,3)

Case 4: The first number is 4.

In this case, we need to find the number of ways to represent 6 as a sum of the remaining two numbers. The possible pairs are:

(1,5), (2,4), (3,3)

Case 5: The first number is 5.

In this case, we need to find the number of ways to represent 5 as a sum of the remaining two numbers. The possible pair is:

(1,4)

Case 6: The first number is 6.

In this case, we need to find the number of ways to represent 4 as a sum of the remaining two numbers. The possible pairs are:

(1,3), (2,2)

Case 7: The first number is 7.

In this case, we need to find the number of ways to represent 3 as a sum of the remaining two numbers. The possible pair is:

(1,2)

Case 8: The first number is 8.

In this case, we need to find the number of ways to represent 2 as a sum of the remaining two numbers. The only possible pair is:

(1,1)

Adding up the counts from each case, we get:

4 + 3 + 3 + 3 + 1 + 2 + 1 + 1 = 18

Therefore, there are 18 different triples of natural numbers with a sum of 10, considering (1,8,1) and (8,1) as the same triple as (1,1,8).

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The value of the function  is t(2 - 2x) = -5x - 4. by using concept of linear transformation

Given that, t: p1 → p1 is a linear transformation such that t(1 + 2x) = 3 - 4x and t(5 + 9x) = -2 + 3x and we need to find t(2 - 2x).

In order to find the value of t(2 - 2x), we need to use the concept of the linear transformation of a function.

Linear Transformation:A linear transformation is also known as a linear map or linear function.

A linear transformation is a function between two vector spaces that preserves the operations of addition and scalar multiplication.

A function f is a linear transformation if and only if the following two properties hold for all vectors u and v and all scalars c:1.

f(u + v) = f(u) + f(v)2.

f(cu) = cf(u)Let t: p1 → p1 be a linear transformation, such that t(1 + 2x) = 3 - 4x and t(5 + 9x) = -2 + 3x

Then, we can find the value of t(2 - 2x) as follows:

t(2 - 2x) = t(2(1 + 2x) - 5)t(2 - 2x)

= t(2(1 + 2x)) - t(5)t(2 - 2x)

= 2t(1 + 2x) - t(5)t(2 - 2x)

= 2(3 - 4x) - (-2 + 3x)t(2 - 2x)

= 6 - 8x + 2 + 3xt(2 - 2x)

= -6 - 5xt(2 - 2x)

= -5x - 4

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The linear transformation t:p1→p1, so we can write the standard basis vectors. The value of t(2-2x) is 2x/9 - 1.

Let's recall the definition of a linear transformation and its properties.

A function T: V → W is called a linear transformation if for any two vectors u and v in V and any scalar c, the following two properties are satisfied:

T(u + v) = T(u) + T(v)T(cu)

= cT(u)

Given, the linear transformation t:p1→p1, so we can write the standard basis vectors as follows:

p1={(1,0),(0,1)}

As per the question,t(1 2x)=3−4xt(5 9x)=−2 3x

We can write the above two equations in a matrix form as follows:

[[t(1 2x)][t(5 9x)]] =[[3−4x][−2 3x]]

Let's calculate the matrix t using the above two equations as follows:

[[t(1 2x)][t(5 9x)]] =[[3−4x][−2 3x]]

=>[[t(1) t(5)][2t(1) 9t(5)]] =[[3−4x][−2 3x]]

=> t(1) = 3, t(5)

= -2, 2t(1) = -4x,

9t(5) = 3x

=> t(1) = 3,

t(5) = -2,

t(2x) = -2x,

t(9x) = x

=> t(x) = -x/9, t(2) = -1

Let's calculate t(2-2x)t(2-2x) = t(2) - t(2x)

=> -1 - (-2x/9)

=> 2x/9 - 1

So, the value of t(2-2x) is 2x/9 - 1.

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a. In the event that Jada uses 15 cups of apple juice, 10 cups of sparkling water will she require.

b. If Jada uses 6 glasses of sparkling water, 9 cups of apple juice will she need.

c. The equation that shows s and j are s=2/3 j

Given that,

Using 2 cups of sparkling water for every 3 cups of apple juice, Jada creates sparkling juice.

We have to find

a. In the event that Jada uses 15 cups of apple juice, how much sparkling water will she require is

It need 2 cups of sparking water for every 3 cups of apple juice.

So, for 15 = 5×3 cups of apple juice, Jade needs 5×2 = 10 cups of sparking water.

b. If Jada uses 6 glasses of sparkling water, how much apple juice will she need is

We need 3×2 cups of sparking water

So, she needs 3×3 =9 cups of apple juice.

c. Assume that s stands for the volume of sparkling water and j for the volume of apple juice. Describe the relationship between s and j are using an equation.

We know that

s=kj

Where

k = 2/3

So,

s=2/3 j

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Answer:

9

Step-by-step explanation:

Answer:

47

Hope it helps

Please mark me as the brainliest

Thank you

Answer:

can I get how you solved it

Answer:

Step-by-step explanation:

Let the number of customers be x.

Annual gross income in terms of the number of customers:

Annual gross income in terms of profit and expenses:

The above two numbers should be equal, this will give us the number of customers:

Correct choice is D

Answer:

A.−2x2+18x−88x+2

B.2x2+2x+8x+2

C.8x−32x+2

D.8x2+14x+8x+2

Step-by-step explanation:

The other methods, such as partial fractions, trig substitution, or none of the above, may also work to evaluate the integral, but they are not as straightforward or efficient as substitution in this case.

The most efficient method to evaluate the integral 4/(x^2+2x+5) dx would be substitution, where u=x^2+2x+5. This is because substitution allows us to simplify the integral by replacing the complicated expression in the denominator with a simpler one, in this case u. We can then use standard integration techniques to evaluate the resulting integral in terms of u, and then substitute back in for x.

The other methods, such as partial fractions, trig substitution, or none of the above, may also work to evaluate the integral, but they are not as straightforward or efficient as substitution in this case.

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Answer:

\(\frac{60}{11}\) feet

Step-by-step explanation:

Rectangle 1:

6 x Width = Area

Rectangle 2:

5 x Width = Area

Total Area = Area of Rectangle 1 + Area of Rectangle 2 = 60 square feet

Take Width as \(x\) as the widths of both rectangles are the same:

\(5x + 6x = 60\\\\11x = 60\\\\x = \frac{60}{11}\)

Answer:

27

Step-by-step explanation:

yes.

are you trying to find the missing number bc if so then its 27

15,19,23,27,31

True, ax=b requires only one solution to be homogeneous. If ax=b is consistent, the ax=b solution set is acquired by translating the ax=0 solution set.

A two-linear equation system can have one solution, an infinite number of solutions, or even no solution. The number of solutions distinguishes equation systems.

Some key features regarding the consistent are-

Therefore, if the equation ax=0 has a trivial solution, the columns of the a matrix A are linearly independent.

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Answer:

heyyyyyy

Step-by-step explanation:

Answer:

First one is B

Second one is C

Third one is A

I don't know the fourth on maybe B or D

Fifth one is C

Step-by-step explanation:

Answer:

answer = 19.2

Step-by-step explanation:

48 = 24 + 1.25x

48 - 24 = 1.25x

24 = 1.25x

24/1.25 = x

19.2 = x

In Boolean algebra, the variables can only take the values 0 or 1. We can test all possible combinations of x and y to find which ones satisfy the equation xy = x + y: x + xy = x, proving the absorption law.

1. What values of the Boolean variables x and y satisfy xy=x+y?

In Boolean algebra, the variables can only take the values 0 or 1. We can test all possible combinations of x and y to find which ones satisfy the equation xy = x + y:

a) x = 0, y = 0:
0 * 0 = 0 + 0
0 = 0
True

b) x = 0, y = 1:
0 * 1 = 0 + 1
0 = 1
False

c) x = 1, y = 0:
1 * 0 = 1 + 0
0 = 1
False

d) x = 1, y = 1:
1 * 1 = 1 + 1
1 = 2
False

So, the only values of the Boolean variables x and y that satisfy xy = x + y are x = 0 and y = 0.

2. Prove the absorption law x + xy = x using the other laws in Table 5.

We can prove the absorption law by using the distributive law and the identity law:

x + xy = x * (1 + y)   (Applying distributive law: a(b + c) = ab + ac)

Now, using the identity law (a + 1 = 1), we have:

x * (1 + y) = x * 1

Finally, using the identity law (a * 1 = a) again:

x * 1 = x

Therefore, x + xy = x, proving the absorption law.

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Answer:

B≡(-2,-6)

Step-by-step explanation:

Let, B≡(x,y)

(8+x)/2 = 3

8+x=6

x=-2

and, (4+y)/2=-1

4+y=-2

y=-6

So, B≡(-2,-6)

Hope, this helps you.

Answer:

Mistake is 2x + 3 = 6. It should be 2x + 6 = 6. Therefore x = 0

Step-by-step explanation:

2(x + 3) = 6

Expand the bracket:

2x + 6 = 6

Subtract 6 from both sides:

2x = 0

Divide both sides by 2

x = 0

The first function is continuous everywhere in the complex plane. The second function is continuous everywhere except at z=0. The third function is continuous everywhere except at z=-2 and z=1.

The function z⁴ - 9z² + iz -2 is continuous everywhere in the complex plane.

The function z + 1/z² + 1 is continuous everywhere in the complex plane except at z = 0.

The function z² + 6x + 5/z² + 3z + 2 is continuous everywhere in the complex plane except at z = -2 and z = -1/3.

The function z⁴ + 1/Z² + 2z + 2 is continuous everywhere in the complex plane except at z = 0.

The function x + iy/x - 1 is continuous on the complex plane excluding the negative x-axis.

The function x + iy/|z| - 1 is continuous everywhere in the complex plane except at z = 0.

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Complete question is in the image attached below

The Riemann sum that represents the illustration on the graph is the second option as i goes from 1 to 4:

\(1∑2 {(xᵢ)}^{2} \)

The Riemann sum is a mathematical concept used to approximate the area under a curve. It is named after the German mathematician Bernhard Riemann.

The idea behind the Riemann sum is to divide the area under the curve into a series of rectangles, where the height of each rectangle is determined by the function being integrated, and the width of each rectangle is determined by the size of the intervals used to divide the domain of the function. The area of each rectangle is then calculated and added together to get an approximation of the total area under the curve.

The Riemann sum is written in the following form:

\(∑f(xᵢ)Δxᵢ\)

where f(xᵢ) is the value of the function at the ith point in the interval, Δxᵢ is the width of the ith rectangle, and the sum is taken over all i intervals.

Thus, the Riemann sum that represents the illustration on the graph as i goes from 1 to 4 is:

\(1∑2 {(xᵢ)}^{2} \)

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Answer:

1468 in

Step-by-step explanation:

1) Find volume of entire figure

10*10*15=1500

2) Find volume of small piece that is cut out

2*4*4=32

3) Subtract smaller number from bigger number

1500-32=1468

Answer:

1,468 \(in^{3}\)

Step-by-step explanation:

Volume = length * base * height

Volume = 10 * 10 *15

10 * 10 *15 = 1500

To get the object with a portion taken off, you would find the volume of the chunk taken off and subtract it from the whole object.

4 * 4 * 2 =32

1500-32 = 1468 in^3

Answer:

If you're going off of scans per second, it's be 2 scans per second.

Step-by-step explanation:

If you're going off of scans per hour, it's be 120 scans per hour.