Please help me!!
Solve for x and show your steps:

3x-ab=c

Answer:

Y =5x + 12

Step-by-step explanation:

You start with

y-8=5x(x+4)

y=5x+ 12

(a) The probability that exactly two of the four components last longer than 1,000 hours is 0.3679

(b) The probability that the subsystem operates longer than 1,000 hours is 0.8130

(a) Let X be the number of components that last longer than 1,000 hours. Then X follows a binomial distribution with n = 4 and p = 0.55 (the probability that a component lasts longer than 1,000 hours is 1 - 0.45 = 0.55). The probability that exactly two of the four components last longer than 1,000 hours is

P(X = 2) = (4 choose 2) × 0.55^2 × 0.45^2 = 6 × 0.3025 × 0.2025 = 0.3679

So the probability that exactly two of the four components last longer than 1,000 hours is 0.3679 (rounded to four decimal places).

(b) The subsystem will operate if any two of the four components are operating. This means that the subsystem will fail if either none or only one component is operating. Let Y be the number of components that are operating. Then Y follows a binomial distribution with n = 4 and p = 0.45 (the probability that a component fails in less than 1,000 hours is 0.45). The probability that none of the four components are operating is

P(Y = 0) = 0.45^4 = 0.0081

The probability that exactly one of the four components is operating is

P(Y = 1) = (4 choose 1) × 0.55 × 0.45^3 = 0.1789

Therefore, the probability that the subsystem fails is

P(failure) = P(Y = 0) + P(Y = 1) = 0.0081 + 0.1789 = 0.1870

So the probability that the subsystem operates longer than 1,000 hours is

P(success) = 1 - P(failure) = 1 - 0.1870 = 0.8130 (rounded to four decimal places).

Learn more about probability here

brainly.com/question/29350029

#SPJ4

Answer:

D

Step-by-step explanation:

tan(theta) = y/x

tan(theta) = (sqrt(2)/2)/(sqrt(2)/2)=1

Answer:

18. ∠AED= ∠BEC (vert. opp. ∠s)

2x -11= 105

2x= 105 +11

2x= 116

x= 116 ÷2

x= 58

∠AEB= 180° -105° (adj. ∠s on a str. line)

∠AEB= 75°

∠BEC= 105° (vert. opp. ∠s)

∠CED= ∠AEB (vert. opp. ∠s)

∠CED= 75°

∠AED= 105° (given)

19. ∠AEB +∠BEC= 180° (adj. ∠s on a str. line)

6x +19 +x= 180

7x +19= 180 (simplify)

7x= 180 -19 (-19 on both sides)

7x= 161 (simplify)

x= 161 ÷7

x= 23

∠AEB= 6(23) +19

∠AEB= 157°

∠BEC= 23°

∠CED= ∠AEB (vert. opp. ∠s)

∠CED= 157°

∠AED= ∠BEC (vert. opp. ∠s)

∠AED= 23°

(a) The function fX(x) can be shown to be a proper density by satisfying two conditions: non-negativity and integration over the entire sample space equal to 1.

(b) To derive the method of moments estimator of θ, we equate the theoretical moments of the distribution to their sample counterparts.

(c) The ordinary least squares (OLS) estimator of θ is the same as the method of moments (MoM) estimator of θ because both estimators rely on equating moments of the distribution to their sample counterparts.

(a) In order to show that fX(x) is a proper density, we need to ensure that it is non-negative for all x and that its integral over the entire sample space equals 1. For the given density function, fX(x) = x/θ for 0 ≤ x ≤ √(2θ) and 0 otherwise. We can see that fX(x) is non-negative for all x, as x/θ is positive when x is positive. To verify the integral equals 1, we integrate fX(x) over the entire sample space.

∫[0,√(2θ)] x/θ dx + ∫(√(2θ),∞) 0 dx = [x^2/2θ] from 0 to √(2θ) + 0 = √(2θ) - 0 = √(2θ)

Since the integral evaluates to √(2θ), we can see that fX(x) is a proper density as long as √(2θ) = 1, i.e., θ = 1.

(b) The method of moments estimator of θ involves equating the theoretical moments of the distribution to their sample counterparts. In this case, we need to equate the first moment (mean) of the distribution to the first moment of the sample.

The theoretical mean (μ) of the distribution can be obtained by integrating xfX(x) over the entire sample space and setting it equal to the sample mean .

(c) The ordinary least squares (OLS) estimator of θ is the same as the method of moments (MoM) estimator of θ because both estimators rely on equating moments of the distribution to their sample counterparts. The OLS estimator minimizes the sum of squared residuals between the observed values and the predicted values, which can be interpreted as minimizing the discrepancy between the theoretical and observed moments. In this case, equating the first moment of the distribution to the first moment of the sample corresponds to minimizing the sum of squared deviations from the mean, which is the objective of OLS. Therefore, the OLS estimator coincides with the method of the moments estimator in this particular scenario.

To learn more about the method of moments, click here:

brainly.com/question/31968312

#SPJ11

Answer:

x = 6/5

y = 2/5

Step-by-step explanation:

this is the answer i got please mark brainliest i really need it cuz i need 2 more

Answer:

To find the range of values of x for which 1-x < (x-1)(5-x) < 3, we can solve the two inequalities separately.

First, let’s solve 1-x < (x-1)(5-x). Expanding the right side gives 1-x < 5x - x^2 - 5 + x. Simplifying and rearranging gives x^2 - 7x + 6 > 0. Factoring gives (x-1)(x-6) > 0. This inequality is satisfied when x < 1 or x > 6.

Next, let’s solve (x-1)(5-x) < 3. Expanding the left side gives 5x - x^2 - 5 - x < 3. Simplifying and rearranging gives x^2 - 6x + 8 < 0. Factoring gives (x-2)(x-4) < 0. This inequality is satisfied when 2 < x < 4.

Combining the two solutions, we find that the range of values of x for which 1-x < (x-1)(5-x) < 3 is satisfied is when 2 < x < 4.

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

\((x - 5)^\frac{1}{2} +5 = 2\\\sqrt{x-5} = -3\\x - 5 = 9\\x = 14\)

Answer:

-----------------------------------

The first line is representing the equation and the second line is its simplification after subtraction 5 from both sides.

As a result we got a square root on the left side and a negative number on he right side of the equation.

As we know a square root is never negative, the solution stops here and we should state that there is no solution, therefore the third line misleading us to get a wrong solution.

Answer:

9 1/10th m/s2 :)

Step-by-step explanation:

The reason it is 1/10 is because the Number is 81 not 80, therefore 1/10 because there it is 1 left in 80 making it a fraction not a whole :) i hope this helps sorry if the explanation is too complicated...

Answer:

b. (x+6)(x-6)

Step-by-step explanation:

x^2-36  So to get to this answer you can do two things

1. Guess and check

2. Factor it out (which is what I like to do)

In order to get x^2 you need 2xs that are positive which knocks out c and d

Then to get to -36, you need to multiply a positive 6 and a negative 6

(This was poorly explained but if you need anymore help just lmk)

The power required to operate the pump is approximately 0.0604 kilowatts

The power required to operate the pump, we need to consider the work done against gravity and the head loss in the system.

First, let's calculate the difference in elevation between the well and the tank:

Elevation difference = Height of the tank - Depth of the well

Elevation difference = 58 m - (-20 m)

Elevation difference = 78 m

Next, let's calculate the total head loss in the system, taking into account the head loss given as 34.3 m:

Total head loss = Elevation difference + Head loss

Total head loss = 78 m + 34.3 m

Total head loss = 112.3 m

Now, let's calculate the flow rate of water through the pipe using the given diameter:

Radius of the pipe = 5 cm / 2 = 2.5 cm = 0.025 m

Cross-sectional area of the pipe = π × (0.025 m)² = 0.00196 m²

Given that the water is pumped at a rate of 4 L/s, which is equivalent to 0.004 m³/s, we can calculate the velocity of water:

Velocity of water = Flow rate / Cross-sectional area

Velocity of water = 0.004 m³/s / 0.00196 m²

Velocity of water ≈ 2.041 m/s

Now, let's calculate the power required to operate the pump using the equation:

Power = (Flow rate × Total head loss) / Pump efficiency

Flow rate = 0.004 m³/s

Total head loss = 112.3 m

Pump efficiency = 75% = 0.75

Power = (0.004 m³/s × 112.3 m) / 0.75

Power ≈ 0.0604 kW

Therefore, the power required to operate the pump is approximately 0.0604 kilowatts.

To know more about power click here :

https://brainly.com/question/21329931

#SPJ4

b. The matrix is invertible. The given matrix has 4 pivot positions. this is correct statement.

To determine if the matrix is invertible, we need to check if it is a square matrix and if its columns form a linearly independent set.

The given matrix is a square matrix, as it has the same number of rows and columns (4x4).

To check if its columns form a linearly independent set, we can perform row reduction or look for pivot positions. In this case, by observing the matrix, we can see that it has 4 pivot positions, which means that the columns form a linearly independent set.

To know more about number visit:

brainly.com/question/3589540

#SPJ11

Answer:

t = 75

Step-by-step explanation:

Step 1: Write equation

-15 + t = 60

Step 2: Solve for t

Add 15 to both sides: t = 75

Step 3: Check

Plug in t to verify it's a solution.

-15 + 75 = 60

60 = 60

Answer:

t= 75

Step-by-step explanation:

15-75=60

i hope this helps

Triangle properties include triangle inequality, angle sum, congruence, exterior angle theorem, and isosceles triangle theorem.

1. Triangle Inequality: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

2. Angle Sum of a Triangle: The sum of the angles of a triangle is always equal to 180°.

3. Congruence of Triangles: If two triangles have all three sides equal, then they are congruent (the same size and shape).

4. Exterior Angle Theorem: The measure of an exterior angle of a triangle is equal to the sum of the measures of the two interior angles that are not adjacent to it.

5. Isosceles Triangle Theorem: If two sides of a triangle are equal in length, then the angles opposite those sides are also equal in measure.

Learn more about triangle here

https://brainly.com/question/2773823

#SPJ4

The five properties of triangle is listed below.

The term triangle is defined as the polygon with three angle, sides and vertices.

Here we have to list down the properties of triangle.

The basic five properties of triangle are as follows:

1) in geometry, total amount of space inside the triangle is called the area of a triangle. And it is measured by square units.

2) The property of perimeter of a triangle is equal to the sum of all three sides of the triangle.

3) And the another property states that sum of the length of the two sides of a triangle is greater than the length of the third side.

4) according to the angle, the property states that sum of the angles of a triangle is always 180 degrees.

5) If angles of an equilateral triangle are equal and has a measure of 60⁰ each.

To know more about Triangle here.

https://brainly.com/question/8587906

#SPJ4

Since we need to round the number of scoops to the nearest scoop, we can round 67.32 scoops to 67 scoops. Therefore, you'll need to add 67 scoops of drink mix to make a full batch of sports drink for the campers on a hot day.

To determine the number of scoops of drink mix needed for a full batch, we'll first need to calculate the volume of the container and convert it to gallons. The container's dimensions are 1 foot by 1.5 feet by 3 feet.
Step 1: Calculate the volume of the container.
Volume = length × width × height
Volume = 1 ft × 1.5 ft × 3 ft
Volume = 4.5 cubic feet
Step 2: Convert the volume to gallons.
1 cubic foot is equivalent to 7.48 gallons, so we'll multiply the volume in cubic feet by the conversion factor.
4.5 cubic feet × 7.48 gallons/cubic foot ≈ 33.66 gallons
Step 3: Calculate the number of scoops of drink mix needed.
You must add two scoops of drink mix for each gallon of water.
33.66 gallons × 2 scoops/gallon ≈ 67.32 scoops

Learn more about dimensions here

https://brainly.com/question/28107004

#SPJ11

To construct an interval, estimate for mu with 95% confidence for the first question, we use the formula:
Interval estimate = x ± (zα/2 * σ/√n)

where x is the sample mean, σ is the known population standard deviation, n is the sample size, zα/2 is the z-score corresponding to the desired confidence level (in this case, 1.96 for 95% confidence). Plugging in the values, we get:

Interval estimate = 850 ± (1.96 * 50/√100) = 850 ± 9.8
So the 95% confidence interval is from 840.2 to 859.8.

For the second question, where sigma is assumed to be 100, we use the same formula but with σ = 100:

Interval estimate = 850 ± (1.96 * 100/√100) = 850 ± 19.6
So the 95% confidence interval is from 830.4 to 869.6.

For the third question, where sigma is assumed to be 200, we again use the same formula but with σ = 200:

Interval estimate = 850 ± (1.96 * 200/√100) = 850 ± 39.2
So the 95% confidence interval is from 810.8 to 889.2.

As we can see, the confidence interval gets wider as sigma increases. This is because a larger standard deviation indicates greater variability in the population, which means there is more uncertainty in the sample mean as an estimate of the true population mean. Therefore, a wider interval is needed to account for this increased uncertainty.

To learn more about confidence interval visit:

brainly.com/question/24131141

#SPJ11

===============================================================

Explanation:

Assuming there are 324 seats available for the 324 students, this means that 324*5.60 = 1,814.40 dollars is earned in revenue from ticket sales.

Let x be the cost of equipment, lighting, and costumes combined.

The expression 1814.40 - x represents the profit made. It's the amount of money left after the bills are paid, so to speak. Or you could say profit = revenue - cost.

The committee wants $500 remaining, so they want 1814.40 - x to be equal to 500.

Let's solve for x

1814.40 - x = 500

-x = 500-1814.40

-x = -1314.40

x = 1314.40

So if $1,314.40 is spent on equipment, lighting, and costumes combined, then the committee will have $500 left over. If they spend less on those items, then the profit is more than $500. This means that $1,314.40 is the most they can spend.

AB is not perpendicular to CD

Perpendicular lines are two separate lines that cross one other at a right angle, or a 90° angle. Example: Because AB and XY overlap at a 90° angle, AB is perpendicular to XY in this instance.

Lines that cross one other at an angle are known as perpendicular lines. Their slopes are the reciprocal opposites of one another.

Given A (-2, 4, 0),B(1, 1, 1),C(2, 3, 4),D (3, 21, -8)

(-1,3,-1) for AB

(-1,-18,12) for CD

For the lines AB and CD to be perpendicular

a 1a2+b1b2+c1c2=0

-1(-1)+3(-18)+(-1)(12)

=1-54−12=-65not equal to 0

∴ AB not perpendicular to CD

In order to learn more about perpendicular lines visit link:

https://brainly.com/question/29582941

#SPJ4

The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.

We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.

The total depth range is:

35 m - 5 m = 30 m

The distance between each sample is 3 m, so the number of samples is:

(30 m) / (3 m/sample) + 1 = 10 + 1 = 11

Therefore, the diver collected a total of 11 water samples.

Given:

There is a ratio given as 16:9 of width to height and diagonal is 27 iniches

Required:

We need to find the value of height

Explanation:

By ratio

where w is width and h is height

by using pythagorean theorem

to find h

Final answer:

height is 13.24 inches

Answer: birr 1780.

Solution:

The cost price of the T.V. set = birr 2000

The loss percentage = 5 1/2%

The formula of the selling price is: Selling Price = (100 - Loss%)/100 × Cost Price

Now,

By using the above formula and by substituting the given values of C.P. and Loss%, we get

Selling Price = (100 - 11)/100 × 2000

Selling Price = 89/100 × 2000

Selling Price = 89 × 20

Selling Price = 1780

Thus, the selling price of the T.V. set was → birr Given:

A trader bought a TV set for birr 2000 and sold it at a loss of 11%

To find:

What was the selling price?

Solution:

The cost price of the T.V. set = birr 2000

The loss percentage = 11%

We know the formula of the selling price is:

Now,

By using the above formula and by substituting the given values of C.P. and Loss%, we get

Thus, the selling price of the T.V. set was → birr 1780.

Answer:

$13.6

Step-by-step explanation:

Jane bought 3 CDs that were each the same price. So let the price of each CD be ‘x’.

It is given that including sales tax, she paid a total of $45.30.

Also each CD had a tax of $1.50. We need to find out what the price of each CD was before tax.

Since the tax for all 3 CDs was same, the total amount of tax that she paid was:

3 * 1.50 = 4.50

Therefore the total tax on 3 CDs is $4.50

Since we already know the total price she paid for the CDs including taxes, we can find the price of each CD by the following way:

3x + 4.50 = 45.30

3x = 45.30 - 4.50

3x = 40.8

x = 13.6

Therefore the price of each CD before tax is $13.6.

The largest value y can contain after the code runs when x is initialized to 10 instead of 3, is 30.

When x is initialized to 10, the for loop runs for i = 0 to 9. In each iteration, the value of y is updated by adding x to it. Since x is constant and equal to 10, the value of y increases by 10 in each iteration. After the loop completes all 10 iterations, the value of y would be 10 + 10 + 10 + ... + 10 (10 times). This can be calculated as 10 * 10 = 100.

However, since y is a shared variable and subject to concurrent execution, the code does not guarantee sequential updates of y. There can be race conditions where multiple threads try to update y simultaneously. To avoid this, we need to ensure atomicity in updating the value of y.

Assuming atomic updates, the final value of y would be 30. This is because y starts with an initial value of 0, and in each iteration, it is updated by adding x (which is 10 in this case). So, the final value of y can be calculated as 10 + 10 + 10 = 30.

In summary, when x is initialized to 10 instead of 3, the largest value y can contain after the code runs are 30.

For more questions like Variable click the link below:

https://brainly.com/question/17344045

#SPJ11

According to the question the product of 7 x 5 will be greater than 7 from multiplication.

Multiplication in mathematics is the addition of equal groups. As we proliferate, the quantity of items in the group increases. The product as well as the two elements are part of a multiplication issue. 6 and 9 are factors in the multiplication equation 6 9 = 54, and 54 is the result.

The product of 7 x 5 by multiplying with each other we can get 35

The number being multiplied with 7 is greater than 1 so the product will also be greater than 7.

The product of 7 x 5 will be greater than 7 because we are multiplying 7 by a number greater than 1.

To know more about multiplication visits:

https://brainly.com/question/29793687

#SPJ1

a)  As long as the slope of the objective function stays between -8/7 and -1/2 the current optimal solution point will remain optimal.                                                                                                                                                                                                                        

b) The objective functions that lead to the same optimal solution are Z = 2X + Y and Z = 25X + 35Y.

a. The binding constraints for the given linear programming problem are 5X + 3Y ≤ 30 and 2X + 5Y ≤ 20. We need to find the range of slope of the objective function for which the current optimal solution point will remain optimal.

First, we graph the two binding constraints on the X-Y plane and find their intersection point as (X, Y) = (3, 3). This is the current optimal solution point.

Next, we need to check the slope of the objective function at this point. Let the objective function be Z = aX + bY. At the optimal solution point, the slope of the objective function is given by -b/a.

For the current optimal solution point (3, 3), we can compute the slope of the objective function for different values of a and b as follows:

When a = 2 and b = 1, the slope of the objective function is -1/2.

When a = 7 and b = 8, the slope of the objective function is -8/7.

When a = 80 and b = 60, the slope of the objective function is -3/4.

When a = 25 and b = 35, the slope of the objective function is -7/5.

Since the binding constraints have negative slopes, we know that the objective function must have a negative slope for an optimal solution to exist. Therefore, the range of slope of the objective function for which the current optimal solution point will remain optimal is between -8/7 and -1/2.

b. To find the objective functions that lead to the same optimal solution, we need to find the objective functions that have the same slope at the current optimal solution point (3, 3). We can compute the slope of each objective function as follows:

For Z = 2X + Y, the slope at (3, 3) is -1/2.

For Z = 7X + 8Y, the slope at (3, 3) is -8/7.

For Z = 80X + 60Y, the slope at (3, 3) is -3/4.

For Z = 25X + 35Y, the slope at (3, 3) is -7/5.

Therefore, the objective functions that lead to the same optimal solution are Z = 2X + Y and Z = 25X + 35Y

Click the below link, to learn more about  same optimal solution:

https://brainly.com/question/30261821

#SPJ11

I’m pretty sure it’d be y = -x - 2

lmk if it’s wrong.

Answer:

Is there a chart for this ?

Answer:

c) 30

Step-by-step explanation:

this is the answer for usa test prep !!

Answer:

6. O+ to A+ donors = 90 to 45; 90 : 45 and 90/45

7. AB- donors to AB+ donors = 4 to 6; 4 : 6 and 4/6

8. B+ to total donors = 20 to 195; 20 : 195 and 20/195

9. O- donors to A- donors = 9 to 21; 9 : 21 and 9/21

10. B- donors to B+ donor = 0 to 20; 0 : 20 and 0/20

11. O- donors to total donors = 9 to 195; 9 : 195 and 9/195

12. A+ donors and B+ donors to AB+ donors = 65 to 6; 65 : 6 and 65/6

13. A- donors and B- donors to AB- donors = 21 to 4; 21 : 4 and 21/4

14. the ratio 90/9 is a comparison of O+ donors to O- donors

Step-by-step explanation:

A ratio is a relationship where for every x unit of one quantity there are y units of another quantity. A ratio can be written in three ways:

x to y

x:y, or

x/y

For the given questions;

6. O+ to A+ donors = 90 to 45; 90 : 45 and 90/45

7. AB- donors to AB+ donors = 4 to 6; 4 : 6 and 4/6

8. B+ to total donors = 20 to 195; 20 : 195 and 20/195

9. O- donors to A- donors = 9 to 21; 9 : 21 and 9/21

10. B- donors to B+ donor = 0 to 20; 0 : 20 and 0/20

11. O- donors to total donors = 9 to 195; 9 : 195 and 9/195

12. A+ donors and B+ donors to AB+ donors

A+ donors and B+ donors to = 45 + 20 = 65

therefore, A+ donors and B+ donors to AB+ donors = 65 to 6; 65 : 6 and 65/6

13. A- donors and B- donors to AB- donors

A- donors and B- donors = 21 + 0= 21

therefore, A- donors and B- donors to AB- donors = 21 to 4; 21 : 4 and 21/4

14. O+ donors = 90; O- donors = 9

therefore, the ratio 90/9 is a comparison of O+ donors to O- donors

Answer:

96 pages

Step-by-step explanation:

There are 60 minutes in an hour, and 60/15 minutes would equal 4. Since there are four 15 minute intervals in an hour, you would want to multiply 24 by 4, which equals 96.

We will find if BC is parallel to DE as follows:

From this, we can see that the corresponding sides DB & DA and CE & EA are not proportional, thus the answer is:

D) Line BC is not parallel to line DE because there is not dilation that sends triangle ADE to triangle ABC.