(2a-b) * (a-2b)
(4x - 2) * (x -4)

The probability that exactly one of three randomly selected high school students graduate, given an 85% graduation rate, is 0.057. This calculation was based on the combination formula and the binomial probability distribution.

This problem involves calculating the probability of a specific outcome (exactly one of the three students graduating) in a binomial distribution. We know that the probability of any one student graduating is 0.85, so the probability of one student not graduating is 0.15. Using the binomial probability formula, we can calculate the probability of exactly one student graduating out of three as:

P(X = 1) = (3 choose 1) * (0.85)^1 * (0.15)^2 = 3 * 0.85 * 0.0225 = 0.057

Therefore, the answer is 0.057, or approximately 5.7%. This means that if we randomly select three high school students from different schools, there is a 5.7% chance that exactly one of them will graduate.

To know more about Probability:

https://brainly.com/question/11234923

#SPJ4

Answer:

22.4

Step-by-step explanation:

0.2*28=5.6

28-5.6=

Answer: 2x5=10 if it was doubled its 20 but wouldnt this be a measure of size and not of volume we would have to see all measurments for this, put 20 down and see if that works.

Step-by-step explanation: i have f's in all of my classes so dont trust me. lol

Answer:

-5 ≤x≤6

[-5,6]

Step-by-step explanation:

The domain is the values that the input takes

x goes from -5 (inclusive) to 6 (inclusive)

-5 ≤x≤6

[-5,6]

Answer:

[-5, 6]

Step-by-step explanation:

    The domain of a function is the list of x values. Since the endpoints are shaded, that means those x values are included as well. Therefore, the domain of f is [-5, 6].

Answer: disagree its backwards

Step-by-step explanation: the x intercept always comes first so its actually (-4,2)

Answer:

Step-by-step explanation:

Now if you look at this wrong, the student would be correct. The student made a common mistake that many make. The mistake they made was they put the X and Y backwards when making the point. All they have to do is make sure they put the X first then the Y. What they should have put is (-4,2). For any other point, you would replace X and Y in the points. (X,Y)

The combined score for Jodi and Joe is 9-i

Two complex numbers, z₁ = a + bi and z₂ =c +di, can be added by adding the corresponding real and imaginary parts. That is:

z₁+z₂ = (a+c) + (b+d)i

Given: Jodi's score = 5−3i and Joe's score = 4 + 2i

Combined score = 5−3i + 4 + 2i

                           = (5+4) + (-3+2)i

                           = 9-i

Therefore, the combined score is 9-i

Learn more about complex numbers on:

https://brainly.com/question/5564133

#SPJ1

d) 135°

x ; y =supplementary =>

=> x + y = 180

x = 3y

replace x

3y + y = 180

4y = 180

y = 180 : 4

y = 45°

x = 3y

x = 3×45°

x = 135°

Good luck !

Answer:

D

Step-by-step explanation:

Supplementary angle: sum equals 180 degrees cannot be a straight line(180 degrees).

Y.3 + X = 180

A.

45/3 = 15

45 + 15 = 60

B.

60/3 = 20

60 + 20 = 80

C.

120/3 = 40

120 + 40 = 160

D.

135/3 = 45

135 + 45 = 180

Answer: 4,11

Step-by-step explanation:

The correct expression is 13x - 5 + (12/x + 1).

The given expression is 3x² - 2x + 7.Dividing 3x² - 2x + 7 by (x + 1) using long division method:  

3x + (-5) with a remainder of

12.x + 1 | 3x² - 2x + 7- (3x² + 3x) -5x + 7- (-5x - 5) 12

Thus, the quotient is 3x - 5 with a remainder of 12.

If we need to write the division in polynomial form, it is written as:

3x² - 2x + 7

= (x + 1) (3x - 5) + 12

By using synthetic division, it can be represented as:  

-1 | 3    -2    7        3   -1   -6    -1   6   1

The quotient is 3x - 5 with a remainder of 12.

for such more questions on expression

https://brainly.com/question/1859113

#SPJ8

Answer:

put a filled in dot on 3, and have an arrow pointing to the right going from 3 all the way down the number line

Step-by-step explanation:

Answer:

The second store

Step-by-step explanation:

Divide the cost by liters, you get the cost per liter.

2.12/2=1.06 dollars per liter

In the second store is:

3.15/3=1.05 dollars per liter

Is .01 dollars cheaper.

The population after 5.2 years is 1880.8, or about 1881 people.

We are given that;

Growth rate = 3.8%

Now,

Find an equation relating the variables introduced in step. We can use the formula for exponential growth:

\($$P(t) = P(0)e^{rt}$$\)

where P(t) is the population after t years, P(0) is the initial population, e is a constant approximately equal to 2.71828183..., and r is the growth rate per year.

Substitute all known values into the equation from step 4, then solve for the unknown quantity. We know that P(0) = 1543, r = 0.038, and t = 5.2. Substituting these values into the equation for P(t), we get:

\($$P(5.2) = P(0)e^{rt}$$$$P(5.2) = 1543e^{0.038 \times 5.2}$$$$P(5.2) \approx 1543e^{0.1976}$$$$P(5.2) \approx 1543 \times 1.2184$$$$P(5.2) \approx 1880.8$$\)

Therefore, by exponential growth the answer will be 1880.8.

Learn more about exponential growth and decay here:

https://brainly.com/question/2193820

#SPJ4

Answer:

3a. 3/4=12/16

3b. 4/12=30/90

3c. 12:4=60:20

Explanation:

Hope this helps!

Mark as Brainliest please...

Using calculus, the area of the triangle with the given vertices is 13.5 units ²

Using calculus, we can find the area of the triangle with the formula:

= 1/2 | 0 + 3 (1 - 0) + 6 (0 - 5) |

Solving gives:

= 1/2 | 0 + 3 (1 - 0) + 6 (0 - 5) |

= 0.5 | 3 - 30|

= 0.5 |-27|

= 27 / 2

= 13.5 units ²

Find out more on using calculus for area at https://brainly.com/question/20733870

#SPJ4

The required answer is he equilibrium price will be $8, and the equilibrium quantity will be 320 units.

After the introduction of the new desalination technology, the market supply curve will shift to the right, since firms will be able to produce more water at a lower cost. The new supply curve will be given by:

! = 5P + (8 * quantity) - 5

This is because the cost of producing each unit of water has now increased by $8, but the supply function remains the same.  specifically general equilibrium theory, a perfect market, also known as an atomistic market, is defined by several idealizing conditions, collectively called perfect competition, or atomistic competition. In theoretical models where conditions of perfect competition hold, it has been demonstrated that a market will reach an equilibrium in which the quantity supplied for every product or service, including labor, equals the quantity demanded at the current price

To find the equilibrium price and quantity, we need to set the new supply curve equal to the demand curve:

400 - 10P = 5P + (8 * quantity) - 5

Simplifying and solving for P:

15P = 405 + 8Q

P = 27 + (8/15)Q

Next, we substitute this expression for P into either the demand or supply curve and solve for Q. Let's use the demand curve:

400 - 10(27 + (8/15)Q) = Q + 5

Simplifying:

Q = 60

Therefore, the equilibrium quantity is 60 units of water, and the equilibrium price can be found by plugging this quantity into the expression for P:

P = 27 + (8/15)(60) = $43.20
So the equilibrium price is $43.20 per unit of water.

To find the market supply curve after the introduction of the new desalination technology and the equilibrium price and quantity, follow these steps:

Step 1: Determine the new supply curve.
Since the desalination technology allows for unlimited water production at a cost of $8, the new supply curve will be a horizontal line at P = $8. This is because suppliers will be willing to supply any quantity of water at that price.
Step 2: Find the new equilibrium price and quantity.

To find the new equilibrium, we need to determine where the new supply curve intersects the demand curve. The demand curve is given by Qd = 400 - 10P. To find the intersection, set the price P equal to $8 in the demand equation:

Qd = 400 - 10(8)
Qd = 400 - 80
Qd = 320

So, at the equilibrium price of $8, the quantity demanded is 320 units.

In conclusion, the market supply curve after the introduction of the new desalination technology will be a horizontal line at P = $8. The equilibrium price will be $8, and the equilibrium quantity will be 320 units.

To know more about competitive conditions . Click on the link.

https://brainly.com/question/29035186

#SPJ11

Based on this calculation, it seems that the given dimensions for the box are not feasible. Double-checking the dimensions and calculations is recommended.

To find the dimensions of the square piece of material used to construct the box, we need to consider the volume of the box and the dimensions of the cut-out corners.

Let's start by understanding the shape of the box. From the information given, we know that the box is open, which means it doesn't have a top. The sides of the box are formed by turning up the cut-out corners. Since the corners are square and have a side length of 6 cm, each side of the box has a height of 6 cm.

The volume of the box is given as 864 cubic centimeters. To find the dimensions of the square piece of material, we need to determine the length and width of the base of the box.

Let's denote the length of the base as L and the width as W. Since the corners are cut out from the material, the dimensions of the base will be reduced by twice the length of the cut-out corners, which is 2h.

So, the length of the base will be L - 2h and the width will be W - 2h.

The volume of a rectangular box is given by the formula V = L × W × H, where H is the height of the box. In this case, the height is 6 cm.

Substituting the values into the formula, we have:
864 = (L - 2h) × (W - 2h) × 6

Simplifying the equation, we have:
144 = (L - 2h) × (W - 2h)

Now, we need to find two numbers that multiply to 144 and represent the length and width of the base. We can use factors of 144 to find possible values for L and W.

The factors of 144 are:
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Let's consider one possible set of dimensions: L = 16 and W = 9.

Substituting these values into the equation, we have:
144 = (16 - 2h) × (9 - 2h)

Expanding the equation, we get:
144 = 144 - 34h + 4h^2

Simplifying further, we have:
4h^2 - 34h = 0

Factoring out h, we have:
h(4h - 34) = 0

From this equation, we can see that h = 0 or h = 34/4 = 8.5.

Since h represents the side length of the cut-out corners, we cannot have h = 0 as it would mean there are no corners. So, the only valid value for h is 8.5 cm.

Now, we can find the dimensions of the square piece of material:
Length = L - 2h = 16 - 2(8.5) = 16 - 17 = -1 cm (not a valid length)
Width = W - 2h = 9 - 2(8.5) = 9 - 17 = -8 cm (not a valid width)

Based on this calculation, it seems that the given dimensions for the box are not feasible. Double-checking the dimensions and calculations is recommended.

To know more about the word corners, visit:

https://brainly.com/question/30175548

#SPJ11

Answer:

I will do a couple of the since there is so many with little time, any more I do is if you do not understand.

Step-by-step explanation:

1st row(column?)- Decimal form= 0.125   Percent= %12.5

2nd- Fraction= 3/4   Decimal= 0.75

3rd- Decimal= 0.6  Percent- %60

Hope this helps :)

your answers-

1st row(column?)- Decimal form= 0.125   Percent= %12.5

2nd- Fraction= 3/4   Decimal= 0.75

3rd- Decimal= 0.6  Percent- %60

Answer:

Step-by-step explanation:

Angles that form a straight line are called a linear pair. They are supplementary angles (by definition), so their sum is 180°.

__

Replacing the angle numbers with their values, we can use this relationship.

  120 + x = 180 . . . . use the given numbers in the supplementary angle relationship

  x = 180 -120 . . . . . use the addition property of equality to find x by subtracting 120 from both sides of the equation

  x = 60

The missing angle (x) is 60 degrees.

Answer:

4.58 * 10 ^ -5

Step-by-step explanation:

0.0000458

Move the decimal 5 places to the right to get a number between 1 and less than 10

00004.58

That will give us an exponent of -5 ( the negative is because we moved it to the right)

4.58 * 10 ^ -5

━━━━━━━☆☆━━━━━━━

▹ Answer

4.58 * 10⁻⁵

▹ Step-by-Step Explanation

The decimal point is moved 5 times to the left, meaning the scientific notation will be negative. Therefore, the answer is 4.58 * 10⁻⁵.

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

Find the appropriate form for your objective function Then you will describe which solvers can handle complex then, you pass the extra Parameters finally, the function argument details.

Answer:

21 and 34.

Step-by-step explanation:

21 is 13 less than 34 and the sum of them is 55.

Answer:

I am not certain if its right

Step-by-step explanation:

Answer:

b) 24 rows

Step-by-step explanation:

12 inches = 1 foot

Since we are doing 30 feet, multiply 12 by 30

12 · 30 = 360 inches

Then, divide the total length (360 inches) by the spacing size (15 inches)

360 ÷ 15 = 24 rows total

The most likely correlation coefficient for the set of data (-0.91, -0.35, 0.35, 0.91) is either -0.91 or 0.91.

The correlation coefficient measures the strength and direction of the linear relationship between two variables. It ranges between -1 and 1, where -1 indicates a strong negative correlation, 1 indicates a strong positive correlation, and 0 indicates no correlation.

In the given set of data, we have two negative values (-0.91 and -0.35) and two positive values (0.35 and 0.91). The absolute values of all the numbers are the same, indicating a consistent strength of correlation. Since the data values are symmetrically distributed around 0, it suggests a linear relationship without any apparent bias towards positive or negative values.

Therefore, the most likely correlation coefficient for this set of data is either -0.91 or 0.91, as both values represent a strong linear correlation without specifying a particular positive or negative direction.

To learn more about linear relationship, click here:

brainly.com/question/29066440

#SPJ11

Answer:

4.  4:3 = 20:15

5.  5:9 = 40:72

7.   7:9 = 21:27

8.  1:9 = 8:72

9.   6:1 = 12:2

10.  49:84 =7:12

11.  12:5 = 72 : 30

12.  5:35 = 1:7

13.  5:4  = 20:16

14. 2:9 = 12:54

15. 10:1 = 30:3

16.  3:5 = 21:35

17.  21:6 = 7:2

18.  5:1 = 35:7

19.  5:6 = 35:42

20. 55:60 = 11:12

Step-by-step explanation:

The rule for the given function f /g when the function f(x) = -3x -6 and

g(x) = x² -x - 6 is identified as  f(x) / g(x) = -3 / (x -3).

As given in the question,

Given function are:

f(x) = -3x -6

g(x) = x² -x - 6

Rule to identify for the function f(x) / g(x) we get,

Substitute the value of f(x) and g(x) in the required rule we have,

f(x) / g(x) = (-3x -6 ) / ( x² -x - 6 )

Now simplify the function to get the rule:

f(x) / g(x) = -3(x+2) / (x² -3x +2x -6)

⇒ f(x) / g(x) = -3(x+2) /(x-3)(x+2)

⇒ f(x) / g(x) = -3 / (x-3)

Therefore, the rule for the given function f /g when the function f(x) = -3x -6 and g(x) = x² -x - 6 is identified as  f(x) / g(x) = -3 / (x -3).

Learn more about rule here

brainly.com/question/2005233

#SPJ1

To obtain and interpret the quartiles, we first need to arrange the data in ascending order:

10, 12, 13, 15, 16, 17, 18, 18, 21, 22, 22, 23, 25, 26, 28, 29, 32, 36, 42, 56, 61

a. Quartiles divide a dataset into four equal parts. To find the quartiles, we need to determine three values: Q1, Q2 (also known as the median), and Q3.

In this case, since we have 21 data points, the median (Q2) will be the average of the 11th and 12th values. Thus, Q2 = (22 + 23) / 2 = 22.5.

To find Q1, we take the median of the lower half of the data. As there are 10 values below the median, Q1 will be the average of the 5th and 6th values: Q1 = (16 + 17) / 2 = 16.5.

Similarly, to find Q3, we take the median of the upper half of the data. With 10 values above the median, Q3 will be the average of the 15th and 16th values: Q3 = (28 + 29) / 2 = 28.5.

Therefore, the quartiles are as follows:

Q1 = 16.5

Q2 = 22.5

Q3 = 28.5

Interpretation:

Q1 represents the 25th percentile, which means that 25% of the data values fall below this value. In this case, it indicates that 25% of the patients had a length of stay of 16.5 days or less.

Q2 (the median) represents the 50th percentile, indicating that 50% of the data values are below this value. Here, it means that half of the patients had a length of stay of 22.5 days or less.

Q3 represents the 75th percentile, signifying that 75% of the data values are below this value. In this context, it suggests that 75% of the patients had a length of stay of 28.5 days or less.

The quartiles provide insights into the distribution of the data and help identify the spread and central tendency of the length of stay in this particular sample of patients.

Learn more about quartiles here:

brainly.com/question/29809572

#SPJ11

Answer:

12^6

Step-by-step explanation:

12^0 x  12^6

12^0 = 1

So 12^0 x  12^6 = 12^6

\(\\ \sf\longmapsto x+4=\sqrt{8-x}\)

\(\\ \sf\longmapsto (x+4)^2=8-x\)

\(\\ \sf\longmapsto x^2+16+8x=8-x\)

\(\\ \sf\longmapsto x^2+8x-x+16-8=0\)

\(\\ \sf\longmapsto x^2+7x+8=0\)

\(\\ \sf\longmapsto x^2-8x+x+8\)

\(\\ \sf\longmapsto (x-8)(x-1)=0\)

\(\\ \sf\longmapsto x=8,-1\)

Option C

Answer:

\({ \rm{x + 4 = \sqrt{8 - x} }} \\ \\ { \rm{ {(x + 4)}^{2} = {( \sqrt{8 - x}) }^{2} }} \\ \\ { \rm{(x + 4)(x + 4) = 8 - x}} \\ \\ { \rm{ {x}^{2} + 8x + 16 = 8 - x}} \\ \\ { \rm{ {x}^{2} + 9x + 8 = 0 }} \\ \\ { \rm{(x + 1)(x + 8) = 0}} \\ \\ { \boxed{ \tt{x _{1} = {}^{ - } 1}}} \: \: { \rm{and}} \: \: { \boxed{ \tt{x _{2} = {}^{ - } 8}}}\)