tom can do a job in 140 minutes; tom and jerry can do the job together in 70 minutes. how long for jerry to do the job by himself?

Answer: 2x+y=1

3x-y=-6

==>5x=-5

==>x=-1 and y=1-2*(-1)=3

Sol={(-1,3)}

Answer A

Answer:

(x+8)

Step-by-step explanation:

Answer:

x2 + 8x + 12

Step-by-step explanation:

(x + 2) (x + 6) = x (x + 6) + 2 (x + 6)

= x * x + 6x + 2 (x + 6)

= x2 + 6x + 2 (x + 6)

= x2 + 6x + 2x + 2 * 6

= x2 +6x + 2x + 12

= x2 + 8x + 12

Let's take this problem step by step:

To find the ordered pair of the system:

⇒ must set both equations equal to each other

    ⇒ must solve for 'x'

Let's solve:

 \(x^2-2x+3=-2x+28\\x^2-2x+3+2x-28=0\\x^2-25=0\\(x-5)(x+5)=0\)

Let's find the x-values:

 \((x-5)=0\\x=5\\\\(x+5)=0\\x=-5\)

Let's find f(x)'s value for each of the 'x':

\(x=5\\f(5)=-2(5)+28=18\\\\x=-5\\f(-5)=-2(-5)+28=38\)

Answer: (5, 18), (-5,38)

Hope that helps!

#LearnwithBrainly

Answer:

Step-by-step explanation:

Answer:

2:12

4:24

6:36

8:48

Answer:

<ACB = 63 degrees

Step-by-step explanation:

FG = HG thus <H nd <F are congruent

180 - 54 = 126/2 = 63 degrees

<HFG = <ACB (alternate exterior angles)

Answer:

you factories the equation

Answer:

Parthava had 100 arrows.

Step-by-step explanation:

Let's define N as the number of arrows that Parthava originally has.

He uses one-half of them in defending himself, so he used N/2 arrows

Now he uses four times the square root of the number of arrows, so now he uses:

4*√N

Then he uses 6

Then he uses 3

Then he uses the last one.

If we add all these numbers of arrows that he used, we should get the initial number of arrows that he used, then:

N/2 + 4*√N  + 6 + 3 + 1  = N

Now we have an equation that we can try to solve.

First, let's move all the terms to the same side:

N/2 + 4*√N + 6 + 3 + 1 - N  = 0

now we can simpify it:

(N/2 - N) + 4*√N + (6 + 3 + 1) = 0

-(1/2)*N + 4*√N + 10 = 0

Now we can define a new variable x = √N

Then we have: x^2 = N

now we can replace these new variables in our equation to get:

-(1/2)*x^2 + 4*x + 10 = 0

Now we just have a quadratic equation.

Remember that for a quadratic equation of the form:

0 = a*x^2 + b*x + c

The solutions were given by:

\(x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2a}\)

Then in our case, the solutions will be:

\(x = \frac{-4 \pm \sqrt{4^2 - 4*(-1/2)*10} }{2*(-1/2)} = \frac{-4 \pm 6 }{-1} = 4 \pm 6\)

So there are two solutions:

x = 4 + 6 = 10

x = 4 - 6 = -2

And remember that x = √N

Then x should be positive, then we take x = 10 as our solution here.

then we can use the equation:

x = 10 = √N

then

10^2 = √N^2 = N

10^2 = 100 = N

Parthava had 100 arrows.

a. The missing probability value is 0.4.

b. E(X) = 1.4.

c. Var(X) = 0.56 and σx = 0.75.

d. E(Z) = 2.27, Var(Z) = 2.56, and σz = 1.60.

The given probability distribution of the random variable X shows the probabilities associated with each possible outcome. To find the missing probability value, we know that the sum of all probabilities must equal 1. Therefore, the missing probability can be calculated by subtracting the sum of the probabilities already given from 1. In this case, 0.1 + 0.2 + 0.3 = 0.6, so the missing probability value is 1 - 0.6 = 0.4.

To find the expected value or mean of X (E(X)), we multiply each value of X by its corresponding probability and then sum up the results. In this case, (0 * 0.1) + (1 * 0.2) + (2 * 0.3) + (3 * 0.4) = 0.4 + 0.2 + 0.6 + 1.2 = 1.4.

To calculate the variance (Var(X)) of X, we use the formula: Var(X) = Σ[(X - E(X))^2 * P(X)], where Σ denotes the sum over all values of X. The standard deviation (σx) is the square root of the variance. Using this formula, we find Var(X) = [(0 - 1.4)² * 0.1] + [(1 - 1.4)^2 * 0.2] + [(2 - 1.4)² * 0.3] + [(3 - 1.4)² * 0.4] = 0.56. Taking the square root, we get σx = √(0.56) ≈ 0.75.

Now, let's consider the new random variable Z = 1 + (2/3)X. To find E(Z), we substitute the values of X into the formula and calculate the expected value. E(Z) = 1 + (2/3)E(X) = 1 + (2/3) * 1.4 = 2.27.

To calculate Var(Z), we use the formula Var(Z) = (2/3)² * Var(X). Substituting the known values, Var(Z) = (2/3)² * 0.56 = 2.56.

Finally, the standard deviation of Z (σz) is the square root of Var(Z). Therefore, σz = √(2.56) = 1.60.

Learn more about probability value

brainly.com/question/30897652

#SPJ11

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

To learn more about Binomial probability - brainly.com/question/12474772

#SPJ11

Answer:

The volume is 8

Step-by-step explanation:

Volume=abc

V=(2/5)(2/5)(2/5)

V=8

In the a/b/c classification of analytical queuing models, the term g refers to a general distribution with mean and variance.[TRUE]
Common Queue Model Notation ( A / B / C );( D / E/ F )
 Where :
 A = distribution of time between arrivals (arrival distribution)
 B = service time distribution
 C = number of service channels/service facilities in the system (s = 1, 2, 3, … , ∞)
 D = queuing discipline
 E = size of population or resource
 F = maximum number of consumers allowed in the system (in service plus waiting line)
Information :
 1. For A and B, the following codes can be used:
 M = Poisson distribution or exponential distribution (Markovian)
 D = Degeneracy Distribution (constant time)
 Ek = Erlang distribution
 G = General distribution
 2. For C, a positive integer is used which represents the number of services.
 3. For D, use the replacement codes FIFO, LIFO, or SIRO.
 4. For E and F, use the code:
 N = Limited quantity
∞ = Infinity

For example, queuing system M/M/1 means Poisson distribution for arrival and Exponential distribution for service time and one server. Queuing system M/M/2 has customers arrive according to Poisson distribution with Exponential distribution for service time and the system has two servers. Queuing system M/D/3 indicates that the customers arrive according to Poisson distribution while the service time is constant with 3 servers.

More comprehensive Kendall notation consists up to 6 letters: a/b/c/d/e/ff

Learn more about analytical queuing models at https://brainly.com/question/15908720.
#SPJ4

Answer:-12x

Step-by-step explanation:

just trust me on this

Writing linear equations given two points can be a useful skill when graphing linear equations.

To learn more about linear equation refer to:

https://brainly.com/question/2030026

#SPJ1

Answer:

Im not sure that really makes sense but I think your grade would be 90% if you did 8/9 or somewhere around that

Step-by-step explanation:

Answer:

y = 2x -4

Step-by-step explanation:

-10x + 5y = -20

+10x           +10x

         5y = 10x -20

         5      5       5

         y = 2x - 4

Applying the appropriate circle theorem, the values are:

1. x = 9; 2. Measure of arc DL = 66°; 3.x = 11; 4. x = 0; 5. x = 15

The central angle theorem is a circle theorem that states that the measure of the central angle is the same as the measure of the arc it intercepts.

1. 63 + 44 + 7x + 10 = 180

117 + 7x = 180

7x = 180 - 117

7x = 63

x = 9

2. Measure of arc DL = 2(33) [based on the inscribed angle theorem]

Measure of arc DL = 66°

3. 9x + 3 = 1/2(154 + 50) [based on the angle of intersecting chords theorem]

Solve for x:

9x + 3 = 102

9x = 102 - 3

9x = 99

x = 11

4. 35 = 1/2(171 + 2x - 101) [based on the secant-tangent theore]

Solve for x:

70 = 2x + 70

70 - 70 = 2x

2x = 0

x = 0

5. 8 * x = 12 * 10 [based on the intersecting chords theorem]

8x = 120

x = 15

Learn more about the circle theorem on:

https://brainly.com/question/30417099

#SPJ1

Answer:

C.   40

Step-by-step explanation:

20 + 4x = 180

subtract 20 from both sides

4x = 160

Divide both sides by

x = 40

Answer:fgnrjiughjbrg hjffrndehbnmcuinbjkngbrjhgbrfkbgfnnvcfcmc n

Step-by-step explanation:

Choice 3 is your answer! I have done this before.  

Answer:

7)   m < -3

8)   n > 5

9)   x < 8

10)  x < -4

11)  w > 2

Step-by-step explanation:

To solve the given inequalities, use algebraic operations to isolate the variable.

\(\begin{aligned}42& > 6(m+10)\\\\\dfrac{42}{6}& > \dfrac{6(m+10)}{6}\\\\7& > m+10\\\\7-10& > m+10-10\\\\-3& > m\\\\m& < -3\end{aligned}\)

\(\hrulefill\)

\(\begin{aligned}10(n-11)& > -60\\\\\dfrac{10(n-11)}{10}& > \dfrac{-60}{10}\\\\n-11& > -6\\\\n-11+11& > -6+11\\\\n& > 5\end{aligned}\)

\(\hrulefill\)

\(\begin{aligned}-97& < -11x-9\\\\-97+9& < -11x-9+9\\\\-88& < -11x\\\\\dfrac{-88}{-11}& < \dfrac{-11x}{-11}\\\\8& > x\\\\x& < 8\end{aligned}\)

Note: When dividing both sides of an inequality by a negative number, the direction of the inequality sign should be reversed.

\(\hrulefill\)

\(\begin{aligned}25x-9& < =-109\\\\25x-9+9& < =-109+9\\\\25x& < =-100\\\\\dfrac{25x}{25}& < =\dfrac{-100}{25}\\\\x& < -4\end{aligned}\)

\(\hrulefill\)

\(\begin{aligned}36& < 12(w+1)\\\\\dfrac{36}{12}& < \dfrac{12(w+1)}{12}\\\\3& < w+1\\\\3-1& < w+1=1\\\\2& < w\\\\w& > 2\end{aligned}\)

Every time the same instrument is used for a measurement, it produces consistent results, which denotes: -reliability.

The degree to which a measurement tool produces consistent, repeatable estimates of what is believed to be a true score at the core.

The same set of people receives the same instrument again. The correlation between the results on the two instruments is what defines dependability. The scores ought to be comparable if the outcomes remain constant over time. How long to wait between the two administrations is the key to test-retest reliability.

Reliability is defined as the probability that a given item will perform its intended function with no failures for a given period of time under a given set of conditions.

To learn more about reliability:

https://brainly.com/question/29305718

#SPJ4

The total surface area of the window is w + 3\(w^{2}\) +\(\pi\)\(w^{2}\)/8

A semi-circle is a part of a full circle cut into two equal part.

The base of the semicircle is taken to be the diameter of the circle because it was cut through its diameter.

width of the rectangle = w

Since the height of the rectangular part is 1 more than 3 times the width.

height = 1 + 3w

The diameter of the semi-circle is the width of the rectangle = W

So, its radius is = w/2

Area of the rectangle = height x width = (1 + 3w) x w

                                    = w + 3\(w^{2}\)

Area of the semi-circle = \(\pi\)\(r^{2}\)/2

But r = w/2

Therefore,

Area of semi-circle = \(\pi\)\((w/2)^{2}\)/2

                                = \(\pi\)\(w^{2}\)/8

Total surface area of the rectangular window = area of semicircle + area of rectangle

     = (w + 3w +  \(\pi\)\(w^{2}\)/8) m

In conclusion, the total surface area of the rectangular window is  (w + 3w +  \(\pi\)\(w^{2}\)/8) m

Learn more about semi-circles: https://brainly.com/question/15822332

#SPJ1

a) The exact time when the temperature of the can is 45 degrees Fahrenheit is, 24..67 years.

b) The exact value for k is, k = 1.72

We have to given that,

a) A can of soda is placed in a refrigerator and its temperature, in degrees Fahrenheit, can be modeled by the equation,

⇒ \(F (t) = 40 + 27 (0.94)^t\)

where t is measured in minutes.

b) Suppose the population of animals, in thousands, on a certain island after t years follows the logistic model ,

⇒ \(p (t) = 1 + 3e^{- kt}\)

a) To find the exact time when the temperature of the can is 45 degrees Fahrenheit, we can set F(t) equal to 45 and solve for t:

\(45 = 40 + 27 (0.94)^t\)

\(45 - 40 = 27 (0.94)^t\)

\(5 = 27 (0.94)^t\)

\(\frac{5}{27} = (0.94)^t\)

\(0.18 = (0.94)^t\)

Take log both side,

log 0.18 = t log 0.94

- 0.74 = t × - 0.03

t = 0.74 / 0.03

t = 24..67

b) Here, the population after 2 years is 8,000 animals,

Put t = 2, p (t) = 8000

\(p (t) = 1 + 3e^{- kt}\)

\(8000 = 1 + 3e^{- 2k}\)

\(7999 = 3e^{- 2k}\)

\(2666.6 = e^{- 2k}\)

Take log both side,

log 2666.6 = - 2k log e

3.43 = - 2k

k = - 3.43 / 2

k = 1.72

Learn more about the equation visit:

brainly.com/question/28871326

#SPJ4

Answer: (0,8)

Step-by-step explanation:

Convert to slope intercept form

-y+8=2x

-y=2x-8

y=-2x+8

Therefore 8 would be the y intercept

The mean of a binomial probability distribution with p = 0.32 and n = 150 is 48

The binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has the same probability of success, denoted by p. In the case of a binomial distribution with n trials and probability of success p, the mean, or expected value, is equal to the product of the number of trials and the probability of success, which is np.

In this case, the problem provides the values of p and n, which are p = 0.32 and n = 150, respectively. Therefore, the mean can be calculated by multiplying these two values

μ = np = 150 x 0.32 = 48

Learn more about binomial probability distribution here

brainly.com/question/30786502

#SPJ4

The height is changing at the rate of 1/20in per minute in the given right cylindrical tank.

So, the changing the rate of the height:

Calculate height as follows:

Therefore, the height is changing at the rate of 1/20in per minute in the given right cylindrical tank.

Know more about the right cylindrical tank here:

https://brainly.com/question/19567425

#SPJ4

The advertising appeal used in this ad is a health appeal. The ad promotes the nutritional value of White House applesauce cups by highlighting that they provide 100% of daily Vitamin C in every cup.

This appeal focuses on the health benefits of the product, suggesting that consuming it will be good for one's well-being.

By emphasizing the nutritional value of the product, this appeal targets consumers who are concerned about their health and wellness. It suggests that by choosing White House applesauce cups, consumers can ensure they are getting an important nutrient without having to consume additional supplements or make other changes to their diet.

Overall, health appeals are a powerful marketing technique, as many people prioritize their health and are willing to pay more for products that they perceive as being beneficial for their well-being. By using this appeal, the ad for White House applesauce cups seeks to influence consumers to purchase the product based on its perceived health benefits.

Learn more about advertising here:

https://brainly.com/question/32251098

#SPJ11