A survey asked people of different ages whether they get their news by
reading the paper. What is the probability that a person surveyed gets the
news by reading the paper, given that he or she is under 40? If necessary,
round your answer to the nearest percent.
Don't read
Read paper
Total
paper
36
Under 40
40 or older
Total
4
24
28
16
52
40
40
80

Answer:

n=2

Step-by-step explanation:

\(\frac{5^7 5^n}{5^5 5} \\\\\frac{5^7 5^n}{5^6} \\n=2\)

Answer:

n=2

Step-by-step explanation:

On the bottom of the fraction, it is 5 to the 6th power because the exponents add up. Then, the two exponents are subtracted, which gets you 5 to the 1st power (or 5). The value of n should be 2.

The student used 0.545 liters of the solution in the experiment.

We have,

To convert the unit milliliters to liters, you need to divide by 1000 since there are 1000 milliliters in 1 liter.

So, to find how many liters were used, you can divide 545 milliliters by 1000.

= 545 mL ÷ 1000

= 0.545 L

Therefore,

The student used 0.545 liters of the solution in the experiment.

Learn more about unit conversion here:

https://brainly.com/question/13899873

#SPJ1

Note that based on probabilities,

The expected number of Democrats on the committee is 5.

The expected number of states represented on the committee is 26.

The expected number of states such that both of the state's senators are on the committee is 9.09.

a)  The probability that a randomly chosen senator is a Democrat is 50/100 = 1/2.

So, the expected number of Democrats on a committee of size 10 is

1/2 * 10 = 5.

b) The minimum number of   states that can be represented on a committee of size 10 is 2, and the maximum numberis 50.

The expected number of states representedon the committee is the average of these two values, which is (2 + 50)/  2 = 26.

c)  There are 50 states, and each state has 2 senators. So, there are a total of 100 pairs of senators.

The probability that a randomly chosen pair of senators both belong to the same state is 50/100 * 49/99

= 1/11.

The expected number of states such that both of the state's senators are on the committee is 100 * 1/11 = 9.09.

Learn more about probability  at:

https://brainly.com/question/30390037

#SPJ4

The transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

The rule that describes the transformation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

To understand this, let's apply the transformation rule to each vertex of the original parallelogram ABCD:

Point A (2, 5) becomes A' (-5, 2).

Point B (5, 4) becomes B' (-4, 5).

Point C (5, 2) becomes C' (-2, 5).

Point D (2, 3) becomes D' (-3, 2).

By applying the transformation rule, we observe that the x-coordinate of each point becomes the negative of the original y-coordinate, and the y-coordinate becomes the original x-coordinate.

This transformation is a 90-degree counterclockwise rotation about the origin (0, 0) on the coordinate plane. The image parallelogram A'B'C'D' is obtained by rotating the original parallelogram ABCD by 90 degrees counterclockwise.

Visually, this transformation can be seen as the original parallelogram being rotated around the origin, where the x-axis becomes the y-axis, and the y-axis becomes the negative x-axis.

Therefore, the transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

For more such questions on parallelogram visit:

https://brainly.com/question/970600

#SPJ8

The values of the variables are x = -2, y = 6 and z = -3

The system is given as:

4x + 2y - 2z = 10 (A)

2x + 8y + 4z = 32 (B)

30x + 12y - 4z = 24 (C)

The easiest variable to eliminate is z.

Combine A and B

2[4x + 2y - 2z = 10]

⇒

8x + 4y - 4z = 20

+ 2x + 8y + 4z = 32

⇒ 10x + 12y = 52

Combine B and C

2x + 8y + 4z = 32

30x + 12y - 4z = 24

⇒ 32x + 20y = 56

Divide through by 4

8x + 5y = 14

So, we have:

10x + 12y = 52

and

8x + 5y = 14

Multiply 10x + 12y = 52 by 8/10

8/10[10x + 12y = 52]

⇒ 8x + 9.6y = 41.6

Combine 8x + 9.6y = 41.6 and 8x + 5y = 14

8x + 9.6y = 41.6

- [8x + 5y = 14]

⇒ 4.6y = 27.6

Divide

y = 6

Substitute y = 6 in 8x + 5y = 14

8x + 5 * 6 = 14

8x + 30 = 14

Subtract 30

8x = -16

Divide

x = -2

Substitute y = 6 and x = -2 in (A)

4x + 2y - 2z = 10

4(-2) + 2(6) - 2z = 10

-8 + 12- 2z = 10

Evaluate the like terms

-2z = 6

Divide

z = -3

Hence. the values of the variables are x = -2, y = 6 and z = -3

Read more about system of equations at:

https://brainly.com/question/12895249

#SPJ1

Answer:

hey there!

Step-by-step explanation:

your answer should be the first one (0,4 and 2,0)

hope its help yayayayayou

Answer:

1289.8089172

Step-by-step explanation:

if you do 90 x 2 = 180 you get the circumference of what would be the complete circle, the formula for area with circumference is A = (C^2/4x3.14) so inserting 180, the answer is 2579.61783439, and half of that is a semi circle so 2579.61783439/2 = 1289.8089172

Answer:

X= -2, -1, 0, 1

Step-by-step explanation:

X can be all of those

-2  ≤ X - this means that X is greater than -2 or equal

X< 2 - This means X is less than 2

so you find all the # from -2 to 1 because that is the number less than 2 so

-2, -1, 0, 1

For the values of the derivative f '(x), the best estimates possible (average of the left hand sum) are f(2) = 146, f(4) = 174, f(6) = 220

the best estimates possible (average of the right hand sum) are the following f(2) = 174 ; f(4) = 204 ; f(6) = 256.

To evaluate the approximate value of an integral, we can use the area under the integrand with rectangles. Because it is simple to calculate the area for each rectangle, and then sum up each of the areas.

We have a table present below and consists two columns, one with x values and other with derivative values of f(x) that is f'(x).

x f'(x)

0 8

2 14

4 23

6 26

We have to determine best estimates possible average of the left and right hand sums). The initial value of function f(0), = 130

The left-hand approximations are represented by

\(f(2) = f(0) + \int_{0}^{2} f'(x)dx\)

≈ f(0)+ 2f′(0)

= 130 + 2(8) = 146

\(f(4) = f(0) + \int_{0}^{4} f'(x)dx\)

≈ f(0) + 2(f′(0)+ f′(2))

= 130 + 2(8 + 14) = 174

\(f(6) = f(0) + \int_{0}^{6} f'(x)dx\)

≈ f(0) + 2(f′(0) + f′(2) + f′(4))

= 130 + 2(8 + 14 + 23) = 220

The right-hand approximations are represented by

\(f(2) = f(0) + \int_{0}^{2} f(x)dx\)

≈ f(0) + 2(f′(0) + f′(2))

= 130 + 2( 8 + 14) = 174

\(f(4) = f(0) + \int_{0}^{4} f(x)dx\)

≈f(0) + 2(f′(2) + f′(4))

= 130 + 2( 14 + 23) = 130 + 74 = 204

\(f(6) = f(0) + \int_{0}^{6} f(x)dx\)

≈ f(0) + 2(f′(2) + f′(4) + f′(6))

= 130 + 2(14 + 23 + 26) = 130 + 126

= 256

Hence, required value is 256.

For more information about left-right hand sum, visit :

https://brainly.com/question/29673931

#SPJ4

(a) The probability that a given non-infected person comes in contact with a zombie is P(contact with zombie | X+ = i) = 1 - (1 - p)^i.

(b) The pair (Xt, Yt) is a Markov chain and the transition probabilities are the transition from (i,j) to (i+1,j-1) and the transition from (i,j) to (i,j+1).

(c) The distribution of X2 is P(X2 = k) = ∑((N-1 choose i)p^i(1-p)^(N-1-i)pk-i(1-p)N-k+i) for i = 0 to N-1.

(a) If X+ = i, the number of zombies on day t, then the probability that a given non-infected person comes in contact with a zombie during day t is given by the expression:

P(contact with zombie | X+ = i) = 1 - (1 - p)^i

This is because the probability that a given non-infected person does not come in contact with any of the i zombies is (1-p)^i, and therefore the probability that he or she does come in contact with at least one zombie is 1 minus this probability.

(b) The pair (Xt, Yt) is a Markov chain, where the state space is S = {(i,j) | 0 ≤ i ≤ N, 0 ≤ j ≤ N-i}. The transition probabilities are given by:

P((i,j) → (i+1,j-1)) = pij(1-p)j

P((i,j) → (i,j+1)) = 1 - ∑(pij(1-p)j) for i=0 to N-1

The first equation represents the transition from (i,j) to (i+1,j-1), meaning one zombie is cured and one non-infected person becomes a zombie. The second equation represents the transition from (i,j) to (i,j+1), meaning no zombie is cured and a non-infected person does not become a zombie.

(c) Suppose X0 = 1, Yo = N - 1. Then, the distribution of X2 is given by:

P(X2 = k) = ∑(P(X2 = k | X1 = i)P(X1 = i | X0 = 1, Y0 = N - 1)) for i = 0 to N-1

Using the Markov chain transition probabilities from part (b), we have:

P(X2 = k | X1 = i) = P((i,k-i) | (1,N-1)) = P((i,k-i) → (k,k-(k-i))) = pk-i(1-p)N-k+i

Therefore, we can write:

P(X2 = k) = ∑(pk-i(1-p)N-k+iP(X1 = i | X0 = 1, Y0 = N - 1)) for i = 0 to N-1

To find P(X1 = i | X0 = 1, Y0 = N - 1), we note that the conditional distribution of X1 given X0 = 1, Y0 = N - 1 is a binomial distribution with parameters N-1 and p. Thus:

P(X1 = i | X0 = 1, Y0 = N - 1) = (N-1 choose i)p^i(1-p)^(N-1-i)

Therefore, we can write:

P(X2 = k) = ∑((N-1 choose i)p^i(1-p)^(N-1-i)pk-i(1-p)N-k+i) for i = 0 to N-1

Learn more about "Markov chain":

https://brainly.com/question/30998902

#SPJ11

The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.

The midpoint is the point on the middle of the line that is equally distant from the two points if a line is drawn connecting the two points. The midpoint is the point B that lies halfway between any two points, let's say A and C.

The middle value in a group of numbers that are arranged numerically is the median. It is also referred to as the midpoint because it represents the centre of the data collection. You can expect that half of the values on your list will be lower and half will be higher than the median.

To prove x =1.25

H is midpoint of FG

2x +7=12x-5.5

2x+12.5 =12x

12.5 = 10x

1.25 =x

To learn more about midpoint refer to:

https://brainly.com/question/5566419

#SPJ1

The given statement is true which is x = 1.25.

To prove x =1.25

H is midpoint of FG

2x +7=12x-5.5

2x+12.5 =12x

12.5 = 10x

1.25 =x

To learn more about midpoint refer to:

brainly.com/question/5566419

#SPJ1

The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model. The model assumes that the value of a stock is equal to the present value of all its expected future dividends.

First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17

Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40

Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65

Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92

Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.

The present value of the dividends can be calculated as follows:

PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n)

where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value:

PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)

PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5

PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59

PV ≈ $16.22

Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

Learn more about cost here: brainly.com/question/14566816

#SPJ11

The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model.
The model assumes that the value of a stock is equal to the present value of all its expected future dividends. First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n) where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value: PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

Learn more about cost here: brainly.com/question/14566816

#SPJ11

Answer:

The probability that the individual has the disease is 1/500

Step-by-step explanation:

i found the fraction of 1 in 500 which is 1/500, hope this helps :)

The real values of "a" that make (x - a) a factor of the given polynomial are: a = 3, a = 2, and a = 3/14.

To find the values of "a" for which (x - a) is a factor of the given polynomial x⁴ + 3x³ - 6x² - 28x - 24, we can use the Remainder Theorem.

So, let's divide the given polynomial by (x - a) and set the remainder to zero to find the values of "a".

Using long division or synthetic division, we get:

       x³ + (a - 3)x² + (3a - 6)x + (6 - 28a)

   __________________________________________

x - a | x⁴ + 3x³ - 6x² - 28x - 24

Since the remainder is zero, we have;

x³ + (a - 3)x² + (3a - 6)x + (6 - 28a) = 0

Now, for (x - a) to be a factor of the given polynomial, the coefficients of x², x, and the constant term must be zero, because these are the coefficients of (a - 3)x², (3a - 6)x, and (6 - 28a), respectively.

So, we can set them to zero and solve for "a":

a - 3 = 0 (Coefficient of x²)

3a - 6 = 0 (Coefficient of x)

6 - 28a = 0 (Constant term)

Solving these equations, we get:

a - 3 = 0 => a = 3

3a - 6 = 0 => 3a = 6 => a = 2

6 - 28a = 0 => 28a = 6 => a = 6/28 => a = 3/14

Learn more about factors of polynomial here: https://brainly.com/question/24351176

#SPJ1

The measure of the angles are;

X = 38 degrees

Y = 52 degrees

To determine the angles, we need to know the properties of a kite.

These properties includes;

Then, we can say that;

Y= 52 degrees

Note that the sum of the angles in a triangle is 180

Then, we get;

X + Y+ 90 = 180

X = 180 - 142

Subtract the values

X = 38 degrees

Learn more about kites at: https://brainly.com/question/20597161

#SPJ1

Answer:

Yes

Step-by-step explanation:

We know this because the proportion can be used to find another answer.

Example:

How many feet did the elevator ascend in 0.25 minutes?

 750           x

---------- = ----------

    1           0.25

750(0.25) = 1x

187.5 = x

***Sorry about the format. Hope this helps!

Answer: D) Groundwater collects only where the soil and geological features allow water to seep down into underground chambers.

In other words, as long as there are gaps to allow water through, then that would lead to underground aquifers. Another important component is the amount of rain water that happens. Sources such as rivers, lakes and streams are also a contributing factor.

Stuff like earthquakes, volcanic activity, and continental movement doesn't really have much an effect on where or how aquifers form. It's really all about the soil type and how the landscape is formed, and of course the other factors mentioned in the previous paragraph.

Answer:

C) ATUS-ABCS

Step-by-step explanation:

ΔTUS ΔBSC would also be a right answer, but remember that the order of the points matter.

Both of these triangles share a point S, so the order of where the S is placed should be the same.

In this answer, ΔTUS ΔBCS, notice that the S is in the end of the triangle notation.

However, in this answer,  ΔTUS ΔBSC, the S is in the end of ΔTUS while the S is in the middle of ΔBSC even S is the correspondent point for both triangles.

Hence, ΔTUS ΔBCS is the correct notation and correct answer.

For more help on similar triangles, click here:

brainly.com/question/14285697

Answer:

The clock face is divided into sixty equal parts, each minute. The minute hand is located on the 20 minute mark at 6:20, the hour hand located between the 30 minute mark and the 35 minute mark. When the minute hand goes all sixty minutes, the hour hand only moves five, so to figure out the location of the hour hand, we look at how much the hour has progressed, in this case 20 minutes, or one third of the hour. So the minute hand has moved one third of the way through the hour, so has the hour hand moved one third of the way through the five minutes, or, five thirds of a minute, which is one and two thirds minute, one minute forty seconds. That puts the hour hand at thirty minutes plus one minute and forty seconds—at 31min 40sec—which is 11min 40sec farther than the minute hand.

Step-by-step explanation:

Answer:

20 park managers

Step-by-step explanation:

We can multiply 5% by 400 to get the amount of park managers.

5%*400

I find converting percentages to fractions easier to solve.

1/20*400=20 park managers

The evaluation of the expression 12.75 ÷ 1.5 is 51  / 6.

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number.

Therefore, let's evaluate the expression as follows:

Hence,

12.75 ÷ 1.5

Let's convert each decimal to fractions for easy evaluation

Therefore,

12.75  = 1275 / 100

1.5 = 15 / 10

Therefore,

1275 / 100 ÷ 15 / 10

Let's change the division sign to multiplication sign.

1275 / 100 × 10 / 15

1275 / 150

Therefore,

255 / 30 = 51 / 6

learn more on expression here: https://brainly.com/question/1041084

#SPJ1

Answer:77

Step-by-step explanation:

132 divided by 12(7+5) is 11

11*7=77 so theres 77 boys

Answer:

\(\boxed{Time = 8.33 hrs}\)

Step-by-step explanation:

Given:

Distance = S = 1250 km

Speed = v = 150 km/hr

Required:

Time = t = ?  hrs

Formula:

Speed = Distance / Time

Solution:

Rearranging the formula

=> Time = Distance / Speed

=> Time = 1250/150

=> Time = 8.33 hrs

Answer:

3x - 10 = 13 would be the verbal expression where x = a number

Hope this helps!

The least squares solutions of the given equation are x1 = 21/23, x2 = -5/23, x3 = 9/23, and x4 = -8/23.

To find the least squares solutions of the given equation, the following steps should be performed:

Step 1: Let A be the given matrix and x = [x1, x2, x3] be the required solution vector.

Step 2: The equation Ax = b can be represented as follows:[1 3 5 3] [x1]   [5][3 1 1 0] [x2] = [7][1 1 2 7] [x3]   [3][1 3 3 3]

Step 3: Calculate the transpose of matrix A, represented by AT.

Step 4: The product of AT and A, AT.A, is calculated.

Step 5: Calculate the inverse of the matrix AT.A, represented by (AT.A)^-1.

Step 6: Calculate the product of AT and b, represented by AT.b.

Step 7: The least squares solution x can be obtained by multiplying (AT.A)^-1 and AT.b. Hence, the least squares solution of the given equation is as follows:x = (AT.A)^-1 . AT . b

Therefore, by performing the above steps, the least squares solutions of the given equation are as follows:x = (AT.A)^-1 . AT . b \. Where A = [1 3 5 3; 3 1 1 0; 1 1 2 7; 1 3 3 3] and b = [5; 7; 3; 3].Hence, substituting the values of A and b in the above equation:x = [21/23; -5/23; 9/23; -8/23]. Therefore, the least squares solutions of the given equation are x1 = 21/23, x2 = -5/23, x3 = 9/23, and x4 = -8/23.

Learn more about vector : https://brainly.com/question/30355055

#SPJ11

Answer:

20

Step-by-step explanation:

Mark cut each cake into 5 pieces. There were 4 cakes. 4×5 is 20

The missing parts of the triangle ABC are A = 31.4°, B = 57.4°, C = 91.2°

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that a = 8.6 in, b = 13.9 in. and c = 16.5 in. Using cosine rule:

c² = a² + b² - 2abcosC

16.5² = 8.6² + 13.9² - 2(8.6)(13.9) * cosC

C = 91.2°

Also:

a² = b² + c² - 2bccosA

8.6² = 16.5² + 13.9² - 2(16.5)(13.9) * cosA

A = 31.4°

A + B + C = 180° (angles in a triangle)

31.4 + B + 91.2 = 180

B = 57.4°

The missing parts of the triangle ABC are A = 31.4°, B = 57.4°, C = 91.2°

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer: Debnil has 2 Tablespoons of salt.

Step-by-step explanation:

3/1 is the ratio for teaspoons to tablespoons.

Substitute the 1 with the 6. What is six divided by three? 2.

i think the answer is this