Complete the table.

Original Price Percent of Discount Sale Price
$112 32% $

The probability that at most three grafts fail is 0.98 and the probability that at least two grafts fail is 0.1.

To find the probability that at most three grafts fail, we need to find the sum of the probabilities for x = 0, 1, 2, and 3.

Using the given values of f(x), we get:

P(X <= 3) = f(0) + f(1) + f(2) + f(3)

= 0.7 + 0.2 + 0.05 + 0.03

= 0.98

So the probability that at most three grafts fail is 0.98.

To find the probability that at least two grafts fail, we need to find the sum of the probabilities for x = 2, 3, and 4 and subtract it from 1.

Using the given values of f(x), we get:

P(X >= 2) = 1 - (f(0) + f(1)) = 1 - (0.7 + 0.2) = 0.1

So the probability that at least two grafts fail is 0.1

--The question is incomplete, answering to the question below--

"Grafting the uniting of the stem of one plant with the stem or root of another; is widely used commercially to grow the stem of one variety that produces fine fruit on the root system of another variety with hardy root system: Most Florida sweet oranges grow on trees grafted to the root of sour orange variety. The density for X, the number of 'grafts that fail in series of five trials.

For the values of x = 0, 1, 2, 3, and 4 value of f(x) is 0.7, 0.2, 0.05, 0.03, and 0.01 respectively.

Use f(x) to find the probability that at most three grafts fail; that at least two grafts fail."

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\(4>-2x\\\\\implies -\dfrac{4}2 <\dfrac{-2x}{-2}\\\\\implies -2<x\\\\\implies x >-2\\\\\text{Interval, }~ (-2, \infty)\)

If you make annual payments of $1400 for 8 years at a 6% interest rate compounded annually, the total amount accumulated over the 8-year period would be approximately $12,350.

To explain further, when you make annual payments of $1400 for 8 years, you are essentially depositing $1400 into an account each year. The interest rate of 6% compounded annually means that the interest is added to the account balance once a year.

To calculate the total amount accumulated, you can use the formula for the future value of an ordinary annuity:

FV = P * ((1 + r)^n - 1) / r

where FV is the future value, P is the payment amount, r is the interest rate per compounding period (in this case, 6% or 0.06), and n is the number of compounding periods (in this case, 8 years).

Plugging in the values, we have:

FV = $1400 * ((1 + 0.06)^8 - 1) / 0.06

≈ $12,350

Therefore, the total amount accumulated over the 8-year period would be approximately $12,350.

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Answer:

After working 3 months he should have been payed 3 times

Step-by-step explanation:

Because if he gets payed monthly and he worked for 3 months then he should get payed 3 times

Answer:

The lie from the statements below is:

"Your employer can match your investment contribution in a ROTH IRA or Traditional IRA."

While it is true that you can contribute to both a Roth IRA and Traditional IRA and purchase investments such as low-cost index funds, employers cannot match your investment contributions in an IRA. However, employers can match your investment contributions in a Roth 401k or Traditional 401k, which are retirement accounts offered by employers.

Answer:

P = $80

Step-by-step explanation:

I = P*r*t

P = I/rt

Where,

simple interest, I = $20

Interest rate, r = 5%

Time, t = 5 years

P = I / rt

= 20 / 5% * 5

= 20 / 0.05 * 5

= 20 / 0.25

= 80

P = $80

Answer:

x = 64

Step-by-step explanation:

Solve for x: √x + 3-4=7

√x + 3-4=7

= √x + 1 = 7

= √x = 7 + 1

= √x = 8

= (√x)² = 8²

x = 64

Answer: k=1

Step-by-step explanation: PQ already equals ST

The inequalities are as follows:

1. The cargo weight of the truck is at most 2,800 pounds, represented by the inequality w ≤ 2,800.

2. The bullet train's cruising speed is no less than 130 miles per hour, represented by the inequality s ≥ 130.


To represent the given situations as inequalities, we can use the following equations:

1. For the cargo weight:

  The cargo of the truck weighs at most 2,800 pounds. We can represent this using the inequality:

  w ≤ 2,800

2. For the bullet train's cruising speed:

  The cruising speed of the bullet train will be no less than 130 miles per hour. We can represent this using the inequality:

  s ≥ 130

In the first situation, the inequality w ≤ 2,800 means that the weight of the cargo, represented by 'w,' is less than or equal to 2,800 pounds. This ensures that the total weight of the cargo on the truck does not exceed the maximum weight limit of 2,800 pounds.

In the second situation, the inequality s ≥ 130 means that the cruising speed of the bullet train, represented by 's,' is greater than or equal to 130 miles per hour. This guarantees that the train's speed will not fall below the minimum speed requirement of 130 miles per hour.

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(2 + 5i)^2 − 20i = -16 + 20i

(4i)(-4i) ÷ 17 = -16i^2 / 17 = 16/17

(3 + 2i)^2 − (2 + 3i)^2 = -10 + 20i

2i(5 + 4i) − 5(3 + 2i) = -7 - 8i

(-2i)^4 = 16

(3i)^3 = -27i

(27i)^-1 = -i/27

10, -20, 16

For (2 + 5i)^2 − 20i, we square the complex number, which gives 4 + 20i - 25 + 20i. Combining like terms, we get -21 + 40i, which simplifies to -16 + 20i.

For (4i)(-4i) ÷ 17, we multiply -4i with itself, which gives -16i^2. Since i^2 is equal to -1, we have -16(-1) ÷ 17 = 16/17.

For (3 + 2i)^2 − (2 + 3i)^2, we square both complex numbers, resulting in 9 + 12i + 4i^2 − 4 − 12i − 9i^2. Simplifying further, we get -10 + 20i.

For 2i(5 + 4i) − 5(3 + 2i), we perform the multiplication and combine like terms to obtain -7 - 8i.

For (-2i)^4, we raise -2i to the power of 4, which equals 16.

For (3i)^3, we cube 3i, resulting in -27i.

For (27i)^-1, we find the reciprocal of 27i, which is -i/27.

The simplified expressions and their corresponding solutions are:

(2 + 5i)^2 − 20i = -16 + 20i

(4i)(-4i) ÷ 17 = 16/17

(3 + 2i)^2 − (2 + 3i)^2 = -10 + 20i

2i(5 + 4i) − 5(3 + 2i) = -7 - 8i

(-2i)^4 = 16

(3i)^3 = -27i

(27i)^-1 = -i/27

The solutions for the expressions are 10, -20, and 16.

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Answer:

2/6

Step-by-step explanation:

The dice is numbered 1 through 6. So to get a specific number such as 1 you have 1/6 of a chance same with 5. So add both 1/6's together and you got 2/6.

Answer:

NS=16

Step-by-step explanation:

In parallelogram, diagonals halves each other to 2 equal section

360 x 30

Express 30 as the product of 2 numbers:

30 = 10 x 3

(360 x 3 ) x 10

1,080 x 10

10,800

The total distance along the bottom of a swimming pool with a length of 40 feet and depths of 3 feet and 10 feet is approximately 88.1 feet, found using the Pythagorean theorem.

We can use the Pythagorean theorem to find the total distance along the bottom of the pool.

Let x be the distance from the shallow end to a point on the bottom where the depth is 10 feet. Then, the length of the pool at that point is:

sqrt(10^2 - 3^2) = sqrt(91)

So, the total distance along the bottom of the pool is:

sqrt(40^2 + x^2) + sqrt(91) + (x-40)

We need to find the value of x that makes this expression as small as possible, since that will give us the shortest distance along the bottom of the pool. To do this, we can take the derivative of the expression with respect to x and set it equal to zero:

d/dx [sqrt(40^2 + x^2) + sqrt(91) + (x-40)] = 0

x/sqrt(40^2 + x^2) + 1 = 0

x = -sqrt(40^2 + x^2)

Squaring both sides, we get:

x^2 = 40^2 + x^2

x = 40/sqrt(3)

Substituting this value of x into the expression for the total distance along the bottom of the pool, we get:

sqrt(40^2 + (40/sqrt(3))^2) + sqrt(91) + (40/sqrt(3)) - 40

= 40/sqrt(3) + sqrt(91) + 40/sqrt(3) - 40

= 80/sqrt(3) + sqrt(91) - 40

≈ 88.1 feet

Therefore, the total distance along the bottom of the pool is approximately 88.1 feet.

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Answer:

(20,32)

Step-by-step explanation:

20 apples and 32 pears

0.40 x 20= 8

24-8=16

0.50 x 32= 16

16-16=0

Answer:

i think C im not really sure but i hope im correct maybe >.<

Answer:

Not enough info

Step-by-step explanation:

They don't tell us how many peaches she picked

Answer:

y = 2x + 3

Step-by-step explanation:

The y-intercept is where x = 0. Therefore, the y-intercept would be 3. To find the slope, you do Δy/Δx (Δ = Change In). To find that, you go up 4 times, then move to the right 2 times to reach the second dot. Now, you do 4 / 2, which equals 2. Your final equation will be y = 2x + 3.

On solving we got that. he shorter pieces will therefore be 3 feet long and the longer pieces will therefore be 8 feet long.

Since equations are essentially questions, efforts to systematically find answers to those questions have been the driving force behind the development of mathematics. From straightforward algebraic equations that just require addition or multiplication to differential equations, exponential equations that use exponential expressions, and integral equations, there are many different types of equations that range in complexity.

The lengths of the shorter and longer pieces of a board should be determined.

the case

Let's say that the shorter parts are x in length.

as stated

Jared has an 11-foot wooden board with him.

In order for the longer piece to be 4 feet less than 4 times as long as the shorter piece, he wants to cut it into two pieces.

The length of the longer pieces is then equal to 4x - 4.

The equation then becomes

\(x + 4x - 4 = 11\\ 5x = 11 + 4\\ 5x = 15\\ x = 3 ft\)

The shorter pieces will therefore be 3 feet long.

The longer pieces' length -

\(4x - 4\\ = 4 X 3 - 4\\ = 12 - 4\\ = 8 ft\)

The longer pieces will therefore be 8 feet long.

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Answer:

16.12

Step-by-step explanation: hope this helps

The answer is that the number of workers who stated that money is the most taboo topic to discuss at work is 800.

The circle graph below shows the results of a survey of 2300 workers asking them about taboo topics to discuss at work:

To determine the number of workers who stated that money is the most taboo topic to discuss at work, we need to find the central angle of the circle graph that represents money. The central angle of a circle graph is calculated using the formula: Central angle of a category = (Frequency of the category ÷ Total frequency) × 360°We are given that the total number of participants in the survey is 2300. From the graph, we can see that the frequency of the category "Money" is 800. Therefore, the central angle of the category

"Money" is: Central angle of "Money" = (800/2300) × 360°= 124.35°

Approximately 124.35° of the circle graph represents the category "Money."The total degrees in a circle is 360 degrees. Therefore, the other 100% - 124.35% = 35.65% of the workers chose other taboo topics.

Therefore, the main answer is that the number of workers who stated that money is the most taboo topic to discuss at work is 800.

In a survey of 2300 workers, participants were asked about taboo topics that should not be discussed in the workplace. According to the results of the survey, money is the most taboo topic to discuss in the workplace, with 800 people, or 34.78 per cent, agreeing. It is also interesting to note that sexual orientation is the least taboo topic to discuss in the workplace, with only 70 people, or 3.04 per cent, agreeing that it is taboo. In general, most people in the survey felt that discussing religion, politics, and money in the workplace was inappropriate. In fact, more than 50% of the participants surveyed felt that these topics were taboo. Surprisingly, only 19.48% of people thought that discussing personal hygiene was taboo. Workplace dynamics, such as what topics are acceptable to discuss, can be influenced by many factors, including organizational culture and norms. This survey is a good starting point for exploring the kinds of conversations that are discouraged or prohibited in the workplace.

The number of workers who stated that money is the most taboo topic to discuss at work is 800. It is noteworthy that the survey revealed that most people consider discussing religion, politics, and money in the workplace to be inappropriate.

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ANSWER:

8,7

5,6

4,3

1,2

This is a angle of pair

Answer:

35%

Step-by-step explanation:

If you take the amount of percent the girls decreased, and the amount the boys increased in percentages, you will have your answer when just adding them together. So the answer is 35% or as in 6 boys joined and 2 girls left. So that gives you a total of 8 joining or leaving the chess club or 35% difference.

The general solution to the given differential equation is

y = ± √(1 / (2ln|t| + 4/t - C2))

To solve the given differential equation, we can use the method of separable variables. Let's go through the steps:

Rearrange the equation to separate the variables:

t^2y' + 2ty - y^3 = 0

Divide both sides of the equation by t^2:

y' + (2y/t) - (y^3/t^2) = 0

Now, we can rewrite the equation as:

y' + (2y/t) = (y^3/t^2)

Separate the variables by moving the y-related terms to one side and the t-related terms to the other side:

(1/y^3)dy = (1/t - 2/t^2)dt

Integrate both sides of the equation:

∫(1/y^3)dy = ∫(1/t - 2/t^2)dt

To integrate the left side, let's use a substitution. Let u = y^(-2), then du = -2y^(-3)dy.

-1/2 ∫du = ∫(1/t - 2/t^2)dt

-1/2 u = ln|t| + 2/t + C1

-1/2 (y^(-2)) = ln|t| + 2/t + C1

Multiply through by -2:

y^(-2) = -2ln|t| - 4/t + C2

Now, take the reciprocal of both sides to solve for y:

y^2 = (-1) / (-2ln|t| - 4/t + C2)

y^2 = 1 / (2ln|t| + 4/t - C2)

Finally, taking the square root:

y = ± √(1 / (2ln|t| + 4/t - C2))

Therefore, the general solution to the given differential equation is:

y = ± √(1 / (2ln|t| + 4/t - C2))

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Answer:

\(\sqrt{x} 42\), \(\sqrt{x} 114\), 12, \(\sqrt{x} 150\),22

Step-by-step explanation:

the numbers are 22 \(\sqrt{x} 150\\\) \(\sqrt{x} 114\) \(\sqrt{x} 42\) and 12, 22 and 12 stays the same

\(\sqrt{x} 150\) gives you= 12.24

\(\sqrt{x} 114\)=10.67

\(\sqrt{x} 42\)=6.48

-8x⁵-12x⁴+30x³+19x²-4x-10

Step-by-step explanation:

-8x⁵+10x³+4x²-12x⁴+15x²+6x+20x³-10x-10..simplify

-8x⁵-12x⁴+10x³+20x³+4x²+15x²+6x-10x-10... like terms

-8x⁵-12x⁴+30x³+19x²-4x-10.. this is the final answer we can't add this anymore cause they ain't like terms the last form is this one.

The probability of a family having three males and two females can be calculated using the concept of binomial probability.

In a family with five kids, each child has a 50% chance of being male or female. The probability of having three males and two females can be calculated by considering the different ways this combination can occur.

There are a total of 10 possible outcomes when arranging three males and two females in a sequence of five children (i.e., 5C3, where 5C3 represents the binomial coefficient "5 choose 3").

The probability of having three males and two females is given by the number of favorable outcomes divided by the total number of possible outcomes, which is 10/32 or 0.3125. Therefore, the probability of a family having three males and two females is approximately 31.25%.

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A paired t-test was conducted to compare pre-course and post-course SAT scores of 12 individuals. The test statistic was t = 2.473, indicating a significant increase in scores. The p-value was 0.0294, confirming the statistical significance.

a) The test statistic for the hypothesis test is t = 2.473 (rounded to three decimal places).

b) The p-value for the hypothesis test is 0.0294 (rounded to four decimal places).

To calculate the test statistic and p-value, we need to perform a paired t-test on the given data. In a paired t-test, we compare the means of two related samples to determine if there is a significant difference between them.

First, we calculate the differences between the pre-course and post-course scores for each individual. Then we find the mean and standard deviation of these differences. Using these values, we can calculate the t-statistic and p-value.

Let's perform the calculations step by step:

1. Calculate the differences:

1200 - 1330 = -130

930 - 920 = 10

1090 - 1120 = -30

840 - 880 = -40

1100 - 1070 = 30

1250 - 1320 = -70

860 - 860 = 0

1330 - 1370 = -40

790 - 770 = 20

990 - 1040 = -50

1110 - 1200 = -90

740 - 850 = -110

2. Calculate the mean of the differences:

Mean = (-130 + 10 - 30 - 40 + 30 - 70 + 0 - 40 + 20 - 50 - 90 - 110) / 12 = -30

3. Calculate the standard deviation of the differences:

Standard Deviation = sqrt([(-130 - (-30))² + (10 - (-30))² + ... + (-110 - (-30))²] / (12 - 1))

                  = sqrt([10000 + 1600 + ... + 6400] / 11)

                  = sqrt(133636 / 11)

                  ≈ 36.460

4. Calculate the test statistic (t):

t = (Mean - 0) / (Standard Deviation / sqrt(n))

  = (-30 - 0) / (36.460 / sqrt(12))

  ≈ -2.473

5. Determine the degrees of freedom (df):

Since we have n = 12 individuals, the degrees of freedom are df = n - 1 = 11.

6. Calculate the p-value:

Using the t-distribution with 11 degrees of freedom and the test statistic t = -2.473, we find the p-value associated with it. The p-value turns out to be approximately 0.0294.

Therefore, the test statistic is t = 2.473, and the p-value is 0.0294.

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