suppose 39% of recent college graduates plan on pursuing a graduate degree. twenty one recent college graduates are randomly selected. a. what is the probability that no more than five of the college graduates plan to pursue a graduate degree? (do not round intermediate calculations. round your final answer to 4 decimal places.) b. what is the probability that exactly eight of the college graduates plan to pursue a graduate degree? (do not round intermediate calculations. round your final answer to 4 decimal places.) c. what is the probability that at least eight but no more than thirteen of the college graduates plan to pursue a graduate degree?

Step-by-step explanation:

14/33.

step 1. in the denominator you find the Lowest commons multiple, since 11 and 3 don't have common multiples, you just do 11 x 3 which is 33. you denomination would be 33

step 2. multiply 2 and 7 which is 14. your answer is 14/33.

The value of the fraction given as - 1 3/4 - (-8 1/3) - (- 4 1/4) will be 10 5/6.

It should be noted that a fraction is simply used to represent the numbers that aren't whole. The commutative property of addition states that the sum is unaffected by the order of the addends.

According to the associative property of addition, the grouping of integers does not affect the sum.

Based on the information given, the fraction is illustrated as:

= - 1 3/4 - (-8 1/3) - (- 4 1/4)

Note that (-) × (-) = +

Therefore,

= - 1 3/4 - (-8 1/3) - (- 4 1/4)

= - 1 3/4 + 8 1/3 + 4 1/4

The LCM of the denominator is 12

= - 1 9/12 + 8 4/12 + 4 3/12

= 12 7/12 - 1 9/12

= 10 10/12

= 10 5/6

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Answer:

$44.80

Step-by-step explanation:

Multiply 0.50 by 896.

The solutions of the quadratic equation x² - 6x +9=11 is found to be            x = [tex]\sqrt{11} + 3[/tex] or   [tex]\sqrt{11}-3[/tex]. So, Option B and D are correct.

A quadratic equation is ax² + bx + c = 0 .  Another name for the terms a, b, and c is quadratic coefficients.

The values of the unknown variable x that fulfill the quadratic equation are the solutions to the problem. Quadratic equations' roots are known as these solutions.

Given equation:  x² - 6x +9=11

Subtract 11 on both sides

x² - 6x +9 +(-11) =11 - 11

x² - 6x - 2 = 0

Solving using the quadratic formula,

x = [tex]\frac{-b + \sqrt{b^{2}-4ac } }{2a}[/tex] or [tex]\frac{-b - \sqrt{b^{2}-4ac } }{2a}[/tex]

x = [tex]\frac{6 + \sqrt{-6^{2}-4(-2) } }{2}[/tex]  or  [tex]\frac{6 - \sqrt{-6^{2}-4(-2) } }{2}[/tex]

x = [tex]\sqrt{11} + 3[/tex] or   [tex]\sqrt{11}-3[/tex]

Therefore, the solutions of the quadratic equation x² - 6x +9=11 is found to be x = [tex]\sqrt{11} + 3[/tex] or   [tex]\sqrt{11}-3[/tex]. So, Option B and D are correct.

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Answer:

a maximum of 1,738 empty seats

Step-by-step explanation:

5,738 - 4,000 = 1,738

The number of calories in stalk of celerystalk and carrot is found as 20 and 7 respectively.

For the given question;

Let the number of calories present in carrot is 'x'.

Let the number of calorie present in celerystalk is 'y'.

Carrot has 13 more calories than celerystalk.

Thus,

x = y + 13   ......eq 1

Now, 5 carrots and 10 celery stalks have total 170 calories.

The equation becomes.

5x + 10y = 170

Substitute the value of x from eq 1.

5(y + 13) + 10y = 170

Simplify the equation;

5y + 65 + 10y = 170

15y = 105

y = 7 (number of calories in stalk of celerystalk)

Put the value of y in eq 1.

x = y + 13

x = 7 + 13  

x = 20 (number of calories in stalk of carrot)

Thus, the number of calories in stalk of celerystalk and carrot is found as 20 and 7 respectively.

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Answer:

3.3 x 10^-4

Step-by-step explanation:

It's 3.3 x 10^-4 because 3.3 x 10^-4 would be 0.00033 and 8.0 x 10^0 would be 1 so 0.00033 x 1 = 0.00033. Then when we plug 0.00033 into scientific notation we will get 3.3 x 10^-4

The function table should be completed as follows:

x                h(x)__

-4               -8

-3               -5

2                 10

4                 16

5                 19

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for mapping an input variable to an output variable.

Next, we would evaluate the given function by substituting the value of x as follows:

When x = -4, we have:

Function, h(x) = 3x + 4

Function, h(-4) = 3(-4) + 4

Function, h(-4) = -12 + 4

Function, h(-4) = -8

When x = -3, we have:

Function, h(x) = 3x + 4

Function, h(-3) = 3(-3) + 4

Function, h(-3) = -9 + 4

Function, h(-3) = -5

When x = 2, we have:

Function, h(x) = 3x + 4

Function, h(2) = 3(2) + 4

Function, h(2) = 6 + 4

Function, h(2) = 10

When x = 4, we have:

Function, h(x) = 3x + 4

Function, h(4) = 3(4) + 4

Function, h(4) = 12 + 4

Function, h(4) = 16

When x = 5, we have:

Function, h(x) = 3x + 4

Function, h(5) = 3(5) + 4

Function, h(5) = 15 + 4

Function, h(4) = 19

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Using a proportional relationship, the table relating the number of guests and number of tables is given by the image at the end of the answer.

A proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality represented by k, according to the equation below:

y = kx.

In the context of the problem, the variables are given as follows:

He'll have 4 tables for every 20 guests, hence the constant is given as follows:

k = 4/20 = 1/5 = 0.2.

Hence the relation is:

y = 0.2x.

For 1 table, the number of guests is:

0.2x = 1 -> x = 5.

For 8 tables, the number of guests is:

0.2x = 8 -> x = 8/0.2 = 40.

For 35 guests, the number of tables is:

y = 0.2 x 35 = 7.

For 50 guests, the number of tables is:

y = 0.2 x 50 = 10.

The table with these measures is given by the image at the end of the answer.

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Answer: 0.224

Step-by-step explanation:

40/178= 0.224

work in the pic

Answer: 15 equals the sum of 3 + 6 x 2

Step-by-step explanation: 6x2 is 12 and if you add 3 it is equal to 15, but it is better if you rewrote the equation as 3 + (6x2), that way it is more understandable

144 is  the largest angle in  supplementary angle .

What is an example of a supplementary angle?

Let one angle = x

then other angle is four times the other = 4x

 x + 4x = 180

   5x = 180

     x = 180/5

     x = 36

smaller angle = 36

largest angle = 4x = 4 * 36 = 144

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Answer:

Step-by-step explanation:

Así que tienes que multiplicar 8x9x16 y dividir por 2 y luego multiplicar por 4 PUEDE ESTAR EQUIVOCADO ASÍ QUE TEN CUIDADO

Answer:

-3 and 23,20,17

Step-by-step explanation:

35-3=32,32-3=29

Answer:

73°

Step-by-step explanation:

To find ∠QPS, just add ∠1 and∠2

∠QPS = ∠1 + ∠2

          = 44° + 29°

          = 73°

Answer:

∠QPS = 73°

Step-by-step explanation:

∠1 = 44°

∠2 = 29°

∠QPS = ∠1 + ∠2 = 44° + 29° = 73°

The step 3y = 80v + x is incorrect, as 3y = 80v - x is the correct step by subtraction property of equality.

In this question, we have been given Taylor is solving a literal equation (x + 3y) / 2 = 40v

We have been given her steps that she used to solve for y.

We need to find an error in the steps.

First we solve given literal equation for y.

(x + 3y) / 2 = 40v

x + 3y = 40v × 2                     .................(Multiply both the sides by 2)

x + 3y = 80v

x + 3y - x = 80v - x                 ...................(Subtract x from both the sides)

3y = 80v - x

y = (80v - x)/3                          ............(Divide each side by 3)

If we observe Taylor's steps, we can see that there's an error in the step 3y = 80v + x.

Therefore, the step 3y = 80v + x is incorrect, as 3y = 80v - x is the correct step by subtraction property of equality.

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The exact solution and its approximation rounded to two decimal places are 2. 6213 and 2. 62 respectively.

An algebraic expression can be described as a mathematical or arithmetic expressions that is composed of arithmetic terms, factors, constants, variables, and coefficients.

These expressions are also made up of arithmetic operations which includes;

From the information given, we have that;

(2x − 1)^2 = 18

Find the square root of both sides, we have;

√(2x − 1)^2 = √18

Note that square root rules out the square, we have;

2x - 1 = 4. 24264

collect like terms

2x = 4. 24264 + 1

2x = 5. 24264

Make 'x' the subject

x = 5. 24264/2

x = 2. 6213

Hence, the value is 2. 6213

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The solution for x in the given expression (7 = 3x/9) is: C. 21.

An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

In this exercise, you're required to describe the steps that should be taken to rearrange and solve for x. Therefore, the appropriate and required steps are listed as follows:

Multiplying both sides by 9, we have:

9 × 7 = 3x/9 × 9

63 = 3x

Dividing both sides by 3, we have:

3x/3 = 63/3

x = 21.

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The perimeter of the semi-circle is 59.1 cm

In this question, we have been given the diameter if the semi-circle

d = 23 cm

We need to find the perimeter of the semi-circle.

We know that, the perimeter of the semi-circle of radius 'r' is P = πr + 2r

For diameter d = 23 cm, the radius would be,

r = 11.5 cm

So, the perimeter would be,

P = πr + 2r

P = π × 11.5 + 2 × 11.5

P = (π + 2) × 11.5

P = 59.13 cm

Therefore, the perimeter of the semi-circle is 59.1 cm

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{ } pls i right,or u can help me out

Value of x is 2 and value of k is 0.999.

Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed mathematically using imperial or SI-derived units. Volume and the notion of length are connected.

Given Data

At t=0, Water Volume is 3,000 Litres

The volume of water in the tank equals t hours later.

As it is also stated, there is x% less water in the tank at the conclusion of every hour than there was at the beginning.

After an hour, the amount of water is equal to 3,000 - = 3,000 - 30 x

Water consumption after two hours = (3,000 - 30 x) - (3,000 - 30 x)

×= (3,000 - 30 x) (3,000 - 30 x)

Also,

= 288120

⇒300000 - 3000 x - 3000 x + 30 x²

= 288120

⇒ 30 x ² - 6,000 x + 11880= 0

When we multiply both sides by 30, we get

⇒ x² - 200 x + 396=0

reducing the quadratic equation to factors

(x -198)(x-2) = 0

x = 198,

x = 2

Which suggests that x = 2 might be the answer to this equation.

Also,

V₁ = 3000- 30(2)

V₁ = 3000 - 60

V₁ = 2940

k = [tex]\frac{2940}{3000}[/tex]

k = 0.999(approximately)

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Answer: [tex]y=12.50x[/tex]

Step-by-step explanation:

Let the number of hours be x and the total earnings in dollars be y. Since the total amount of money earned is the number of hours times the amount earned per hour, the equation is [tex]y=12.50x[/tex].

Answer:

C

Step-by-step explanation:

[tex]\sqrt{2}[/tex] and [tex]\frac{1}{\sqrt{2}}[/tex] are both irrational, but they multiply to 1, which is rational

There is a 0.75 percent chance that the person is a woman with long hair.

Probability can be used to define potential. The occurrence of a random event is the focus of this mathematical field. There is a 0 to 1 value range. The likelihood of anything happening is often referred to as probability. Utilize probability to gauge a situation's likelihood of happening. Numerous factors are difficult to forecast with absolute precision. Using it, we can only speculate on whether or how likely it is that an event will occur. A probability scale with a value of 0 for an impossibility and 1 for a certainty. In a sample space, there is a one probability for every event.

E is the probability of an event . Hence,

P(E) is the ratio of favorable results to all outcomes.

In probability, an event is deemed dependent if it is impacted by other occurrences, and independent if it is wholly unaffected by the occurrence of any other event.

By applying the literature and formulas previously mentioned, we have:

F should signify for the fact that the student is female, and L should stand for the fact that the student has long hair.

P(F)

= 0.60

P(L)

= 0.50

P(F AND L)

= 0.45

P(L|F)

= 0.75

There is a probability of  0.75 that a randomly chosen student has long hair.

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Answer:

D 75 and 125

Step-by-step explanation:

cünkü en büyük ortak böleni 25 dir

prove me wrong

Answer:

No, because any number than produces and decimal that continuse forever is not rational.

Step-by-step explanation:

Hope it helps! =D

Using the Law of Detachment, the conclusions are given as follows:

6. No conclusion.

7. ∠AOB and ∠ DOB share one common angle.

The Law of Detachment is a logic axiom which states that if a conditional and the hypothesis of a statement are true, then the conclusion of the statement is also true.

Supposing a conditional statement p -> q, we have that the hypothesis and the conclusion are defined as follows:

For item 6, we have that the statements are given as follows:

We have that p->q and q are true, hence no conclusion can be reached from the law of detachment.

For item 7, we have that the statements are given as follows:

In this case, we have the hypothesis is true, hence the conclusion is that ∠AOB and ∠ DOB share one common angle.

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i'm going to assume (3,1)(3,1) was a typo.

here is an equation for a line with a slope of (-4/3) that crosses through (3,1)

y = -4/3x + 5;

steps;

1 = -4/3(3)+ b

1 = -4 +b

5 = b

Answer:i'm going to assume (3,1)(3,1) was a typo.

here is an equation for a line with a slope of (-4/3) that crosses through (3,1)

y = -4/3x + 5;

steps;

1 = -4/3(3)+ b

1 = -4 +b

5 = b

Step-by-step explanation:

Answer: 846.12

Step-by-step explanation: