SIMPLIFY THE EXPRESSION.
9(1 - 7x)

The injury probability p that makes the decision maker indifferent between entering now and waiting until next year is approximately 0.26.

To calculate this probability, we need to set the expected values of entering now and waiting until next year equal to each other and solve for p. Let EMV₁ be the expected value of entering now and EMV₂ be the expected value of waiting until next year. Then we have:

EMV₁ = -1000p + 5000(1-p)

EMV₂ = 0.9(-1000p) + 0.1(5000)

Setting EMV₁ equal to EMV₂, we get:

-1000p + 5000(1-p) = 0.9(-1000p) + 0.1(5000)

Solving for p, we get:

p ≈ 0.26

Therefore, if the probability of injury is greater than 0.26, the decision maker should wait until next year to enter the market, and if the probability of injury is less than 0.26, the decision maker should enter the market now.

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Answer:

x = 129º

Step-by-step explanation:

It will take some time to elaborate but start this way:

you see the triangle with the 58º and 57º? Now by rule, the sum of all angles ina triangle is 180º

so 57+58 =  115

to discover the other angle you just have to 180-155 = 65

Now that you know the 65º by rule the angle facing it is exactly the same, follow from there, solve all triangles until you get to x...

Answer:

Michelle needs to calculate the interest for the length of each loan. Bank A will charge $2430 in interest and Bank B will charge $1980 in interest. She will save by borrowing from Bank B.

Step-by-step explanation:

this is the simple reponse

Answer:

slope = -2/3

Step-by-step explanation:

Option C

Hope this helps

Answer:

£1485

Step-by-step explanation:

27 * 55

(20 + 7) * 55

20 * 55 + 7 * 55

1100 + 385

= £1485

Answer:

c

Step-by-step explanation:

You have to use pemdas and you should get c

The E(T) is 4 when A and B, two players, alternately toss a fair coin (A tosses the coin first, then B tosses the coin, then A, then B and so on).

Given that,

A and B, two players, alternately toss a fair coin (A tosses the coin first, then B tosses the coin, then A, then B and so on). The heads and tails are recorded in order. The game is over and the winner is the person who throws the tail if there is a head followed by a tail (HT sub-sequence).

We have to find what is the anticipated game length. Let the game continue for T number of coin tosses. Find E (T).

We know that,

Here,

E(T )=first time sequence HT occurs

E(T) = P(first H)× P(expected number till 1st T |first H)+ P(first T)× P(expected number till 1st HT |first T)

E(T) =0.5×(1+2)+0.5×(1+E(T))

0.5×E(T)=0.5×4

E(T) =4

Therefore, The E(T) is 4 when A and B, two players, alternately toss a fair coin (A tosses the coin first, then B tosses the coin, then A, then B and so on).

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Answer:

401 r 20

Step-by-step explanation:

Answer:

The number might be 2and 18 if we find ratio of 2 and 18 it comes 1:9

Answer:

Coordinates: (0,0) ; (1,5) ; (2,10)

Step-by-step explanation:

x  |  y

0  0

1   5

2  10

Coordinates: (0,0) ; (1,5) ; (2,10)

This should be a straight line that is going diagonally with a positive slope.

You seem to have made a typo.

Answer:

y = 14

x = 30

c = 10

y = 4

x = 7

x = 3

b = 17

h = 15

y = 82

y = 32

This is not an equation and cannot be solved.

Explanation:

To solve each equation, we need to isolate the variable (the letter that we are solving for) on one side of the equation. To do this, we perform the same operation on both sides of the equation until the variable is alone on one side. Here are the steps for each equation:

y + 6 = 20

Subtract 6 from both sides: y = 14

x-12 = 18

Add 12 to both sides: x = 30

c + 15 = 25

Subtract 15 from both sides: c = 10

5y-2 = 18

Add 2 to both sides: 5y = 20

Divide both sides by 5: y = 4

3 + 2x = 17

Subtract 3 from both sides: 2x = 14

Divide both sides by 2: x = 7

5x (12 + 5) = 85

Simplify the left side: 5x (17) = 85

Divide both sides by 85: x = 3

96-4b = 28

Subtract 96 from both sides: -4b = -68

Divide both sides by -4: b = 17

5h + (-55) = 20

Add 55 to both sides: 5h = 75

Divide both sides by 5: h = 15

-12 + y + (-25) = 45

Add 12 and 25 to both sides: y = 82

y-(-18) = 14

Simplify the left side: y + 18 = 14

Subtract 18 from both sides: y = -4

This is not an equation and cannot be solved.

Answer:

Given: 3x+5+ 7x +2

Step-by-step explanation:

= 3x + 5 + 7x + 2

= 10x + 7

\(5(m -3 ) = 40 \\ = > 5m - 15 = 40 \\ = > 5m = 40 + 15 \\ = > 5m = 55 \\ = > m = 11\)

Therefore, m = 11

5m = 5 × 11 = 55

5m is 55, m is 11.

Hope it helps.

Do comment if you have any query.

Answer:

m=11

5m=55

Step-by-step explanation:

To find the answer to this question, isolate m. Do this by using the properties of equality.

First, distribute the 5 to the terms within the parentheses

Then, add 15 to both sides

Next, divide both sides by 5

This gives you the solution to both questions. If you want to check the answer, simply plug the variable back in. This gives you, 5(11-3)=40. Once solved this equals 40=40. Therefore, 11 is correct.

Answer:

r=9

EF = 55

Step-by-step explanation:

CF = ED

9r - 6 = 8r+3

Subtract 8r from each side

9r-8r - 6 = 8r-8r+3

r-6 =3

Add 6 to each side

r-6+6 = 3+6

r = 9

EF= CD = 4r+19

            = 4*9+19

              =36+ 19

               =55

Answer:

c

Step-by-step explanation:

Answer:

C (I think)

Step-by-step explanation:

(Sorry in advanced. I haven't done this stuff in a while.)

It's basically asking for the numbers in between each number. Thing is that the symbols on each end makes all numbers positive. Looking at the graphs, there are none with all positives.

I'm very sorry if this isn't right but I believe its the correct answer. Tell me if it is!

If 15 employed women are randomly select:

(A) The probability that exactly 2 of them have never been married is 0.0476

(B) At most 2 of them have never been married is 0.0617

(C) At least 13 of them have been married is 0.2884

Permutations and combinations are methods used to calculate the number of possible outcomes in various situations. Permutations are understood as permutations and combinations are understood as select.

According to the Question:

(A) the probability of:

P( at most  2 have been married)

P(X ≤ 2) = P(X=0) + P(X =1) +P(X=2)

            = \(\frac{15!}{0!15!} (0.57)^0 (0.43)^{15} + \frac{15!}{11!14!} (0.57)^1 (0.43)^{14}\)

            = 0.0476

(B)  P( at most  2 have never been married)

P(X ≤ 2) = P(X=0) + P(X =1) +P(X=2)

             = 0.0617

(C) 1 - 35% = 65%

  0.65¹³ × (13×12/ 1×2)

= 0.2884

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We have that the area of the brown tabletop is given by the following expression:

Let's find first the area of the green tabletop. If the base measures 7 feet and the height is 4 1/2 feet, then:

now that we know the area of the green tabletop, we can find the area of the brown tabletop:

therefore, the area of the brown tabletop is 47 1/4 ft^2

The first step is to subtract $500 from $2000 and then you end up with $1500 which you then divide by 5.

Each payment will have to be $300

The length would be expressed as 1×10²⁰⁰⁰⁰mm.
===================================================================Hope this helped!
- bucketsarecool

To partition a line segment with a given ratio, you can follow these steps:

1. Identify the two endpoints of the line segment. Let's call them point A and point B.

2. Determine the ratio in which you want to partition the line segment. For example, let's say the ratio is 2:1.

3. Use the ratio to divide the line segment into parts. To do this, you'll need to find a point, let's call it point C, that is a certain distance from point A and a certain distance from point B. The distance from point A to point C should be twice the distance from point C to point B.

4. To find point C, calculate the total length of the line segment by finding the distance between point A and point B. Let's say the length of the line segment is d.

5. Divide d by the sum of the ratio (2+1=3) to determine the length of each part. In this case, each part would be d/3.

6. Multiply the length of each part by the corresponding ratio factor to determine the distance from point A to point C. In this case, point C would be located at a distance of (2/3) * (d/3) from point A.

7. Similarly, multiply the length of each part by the remaining ratio factor to determine the distance from point C to point B. In this case, point C would be located at a distance of (1/3) * (d/3) from point B.

8. Once you have the coordinates of point C, you have successfully partitioned the line segment with the given ratio.

For example, let's say the line segment AB has a length of 12 units and we want to partition it with a ratio of 2:1. Using the steps above:

1. Identify the endpoints: A and B.
2. Ratio: 2:1.
3. Calculate each part: d/3 = 12/3 = 4 units.
4. Distance from A to C: (2/3) * (d/3) = (2/3) * 4 = 8/3 units.
5. Distance from C to B: (1/3) * (d/3) = (1/3) * 4 = 4/3 units.
6. Point C would be located at coordinates (8/3, 4/3) on the line segment AB.

Remember, these steps can be modified based on the specific ratio you are given.

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Question- Partitioning a line segment, AB, into a ratio a/b involves dividing the line segment into a + b equal parts and finding a point that is an equal part from A and b equal parts from B. When finding a point, P, to partition a line segment, AB, into the ratio a/b, we first find a ratio c = a / (a + b)

Answer:

\(2p^2\)

Step-by-step explanation:

Step 1: Apply the exponentiation property:

\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)

Step 2: Simplify the cube root of 8:

The cube root of 8 is 2:

\(8^\frac{1}{3} =2\)

Step 3: Simplify the cube root of \((p^6)\):

The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)

Step 4: Combine the simplified terms:

\(2 * p^2\)

So, the simplified expression is \(2p^2\).

A Mathematical model for the determination of total area under glucose tolerance and other metabolic curves is called: Tai Mathematical model.

The Team Assisted Individualization method is a learning method developed by Slavin, Leavy, Kraweit and Madden in 1982 to 1985 in the book Cooperatine Learning: Theory, Research and Practice.

The Team Assisted Individualization method is structured to solve problems in teaching programs, for example in terms of individual student learning difficulties. This model pays attention to differences in the initial knowledge of each student to achieve learning achievement.

Students individually study learning material that has been prepared by the teacher. Individual learning outcomes are brought to groups to be discussed and mutually discussed by group members and all group members are responsible for the overall answer as a shared responsibility.

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The marginal utility per dollar spent on the fifth apple is 60. The correct option is D.

The marginal utility simply refers to the change or extra satisfaction derived from the change in consumption.

Hence, the marginal utility of the fifth apple equals :

Difference /change or extra satisfaction derived by consuming one more than 4 apples = (total utility of 5th apple - total utility of 4th apple)

= (250 - 220) = 30

Hence, marginal utility per dollar: Marginal utility/price per apple

Price per apple = $0.5

Marginal utility of 5th apple = 30

Marginal utility of 5th apple = 30 / 0.5

Marginal utility of 5th apple = 60

Therefore, the marginal utility per dollar spent on the fifth apple is 60. The correct option is D.

Complete question :

If the price of an apple is $0.50, the marginal utility per dollar spent for the fifth apple is:

a) 20

b) 30

c) 40

d) 60

Number of apples ____total utility

2__________________130

3__________________180

4__________________220

5__________________250

6__________________270

7__________________280

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Answer:

it shows that the answer is (-2,8(

the brackets are the symbols of inequality

Based on the evaluation of the conditions, the output "x < 0 and z > 0" will be printed. Therefore, the correct answer is B. x < 0 and z > 0.

The correct indentation of the statement would be as follows:

if (x > 0)

if (y > 0)

System.out.println("x > 0 and y > 0");

else if (z > 0)

System.out.println("x < 0 and z > 0");

Given that x = 1, y = -1, and z = 1, let's evaluate the conditions:

The first if statement checks if x > 0, which is true since x = 1.

Since the condition in the first if statement is true, we move to the inner if statement, which checks if y > 0. However, y = -1, so this condition is false.

The inner if statement is followed by an else if statement that checks if z > 0. Since z = 1, this condition is true.

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Answer:

40.21 m is the circle's cirumference.

Answer:

At the very end, the amounts of money are:

A -- 24

B -- 24

C -- 24

If A and B received as much as they had just prior to the last transaction, they must each have received 12 and they must have received it from C, so at the end of the previous step, the situation must have been:

A -- 12 (24 minus 12)

B -- 12 (24 minus 12)

C -- 48 (24 plus 12 plus 12)

Before that, A and C got half of what they had above from B, so:

A -- 6 (12 minus 6)

B -- 42 (12 plus 6 plus 24)

C -- 24 (48 minus 24)

And initially, B and C got half of what they had above from A, so:

A -- 39 (6 plus 21 plus 12)

B -- 21 (42 minus 21)

C -- 12 (24 minus 12)

Step-by-step explanation:

The coordinates of point D in the parallelogram ABCD are (15, 10).

To find the coordinates of point D, we can use the properties of a parallelogram. In a parallelogram, opposite sides are parallel and congruent. Therefore, we can use this information to determine the coordinates of point D.

Let's consider the given points:

A(-3, 5)

B(7, 12)

C(5, 3)

Since opposite sides of a parallelogram are parallel, the vector connecting points A and B should be equal to the vector connecting points C and D. We can express this as:

AB = CD

To find the vector AB, we subtract the coordinates of point A from the coordinates of point B:

AB = (7 - (-3), 12 - 5)

= (10, 7)

Now, we can express the vector CD using the coordinates of point C and the vector AB:

CD = (5, 3) + (10, 7)

= (15, 10)

Therefore, the coordinates of point D are (15, 10).

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The total amount of time Michelle's family spends at Mount Rushmore is 93.38 minutes, which is equivalent to 1 hour and 33.38 minutes.

The time Michelle and her family spend watching the movie in the visitor center is 14/60 of an hour or 14 minutes. We are told that this accounts for 15% of the total time they spend at Mount Rushmore, so to find the total amount of time they spent at Mount Rushmore, we need to divide the time spent watching the movie (14 minutes) by the percentage of the total time this accounts for (15%). This gives us the equation:

time = 14 / (15/100)

time = 14 × (100/15)

time = 14 × (6.67)

time = 93.38 minutes or 1 hour and 33.38 minutes.

So the total amount of time Michelle's family spends at Mount Rushmore is 93.38 minutes, which is equivalent to 1 hour and 33.38 minutes.

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Answer:

option 3

Step-by-step explanation:

i think

Explanation:

Segment LM is 7 units long compared to L'M' which is 21 units long. You can count out the spaces between the points, or use subtraction and absolute value, to find these segment lengths.

The jump from 7 to 21 is "times 3" which is directly from the scale factor 3. Each length of the image is 3 times larger compared to the preimage counterpart. Therefore, K'L' will be 3 times longer compared to KL.