The grade appeal process at a university requires that a jury be structured by selecting six individuals randomly from a pool of twelve students and twelve faculty. a) What is the probability of selecting a jury of all students? b) What is the probability of selecting a jury of all faculty?
c) What is the probability of selecting a jury of four students and two faculty For the answers, Round to five decimal places as needed.

Answer:

5x+15

Step-by-step explanation:

area=Length X Width

area= 5   X   x+3

area=5(x+3)

area=5x+15

"If Elenor earns $85 weekly, how much money will she deposit each week if she deposits 20% of her earnings into a savings account?"

If Elenor earns $85 weekly, she will deposit 20% of that amount into her savings account. To find out how much money she will deposit each week, we can use the following steps:

Calculate 20% of $85 by multiplying $85 by 0.20 (which is the same as dividing $85 by 5):

20% of $85 = $85 x 0.20 = $17

Therefore, Elenor will deposit $17 into her savings account each week.

So, Elenor will deposit $17 each week into her savings account.

Hilbert axioms changed Euclid's theorem by identifying and explaining the concept of undefined terms

These were the sets of axioms that were proposed by the man David Hilbert in the 1899. They are a set of 20 assumptions that he made. He made these assumptions as a treatment to the geometry of Euclid.

These helped to create a form of formalistic foundation in the field of mathematics. They are regarded as his axiom of completeness.

Hilbert’s axioms are divided into 5 distinct groups.  He named the first two of his axioms to be the axioms of incidence and the axioms of completeness. His third axiom is what he called the axiom of congruence  for line segments. The forth and the fifth are the axioms of congruence for angles respectively.

Hence we can conclude by saying that Hilbert axioms changed Euclid's theorem by identifying and explaining the concept of undefined terms.

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complete question

Hilbert’s axiom’s changed Euclid’s geometry by _____.

1 disproving Euclid’s postulates

2 utilizing 3-dimensional geometry instead of 2-dimensional geometry

3 describing the relationships of shapes

4 identifying and explaining the concept of undefined terms

The correct symbol in between numbers is,

⇒ 4/5 > 1/2

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The numbers are,

⇒ 4/5 and 1/2

Now, We can make denominator equal as;

LCM of 5, 2 = 10

Hence, We get;

⇒ 4/5

⇒ 8/10

⇒ 1/2

⇒ 5/10

Thus, We get;

⇒ 4/5 > 1/2

Therefore, The correct symbol in between numbers is,

⇒ 4/5 > 1/2

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Answer:

Answer: The probability of heads on any flip is 1/2

which means(1/2)^6 which gives 1/64 or in decimal 0.015625

Answer:

4.97% is your answer

Step-by-step explanation:

\(\huge\star{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}\star\)

Option [b] 0.375 is correct !

Profitability index is 1.387. Thus, the correct option is (c) 1.387.

The formula for calculating the profitability index is:

P.I = PV of Future Cash Flows / Initial Investment

Where,

P.I is the profitability index

PV is the present value of future cash flows

The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.

The present value of cash flows can be calculated using the formula:

PV = CF / (1 + r)ⁿ

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

n is the number of periods

For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.

Substituting the values, we get:

PV = 2.85 / (1 + 0.11)¹ = $2.56 million

To calculate the present value of all future cash flows, we can use the formula:

PV = CF / (r - g)

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

g is the constant growth rate

For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.

Substituting the values, we get:

PV = 2.85 / (0.11 - 0.0385) = $39.90 million

The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.

PV of future cash flows = $39.90 million + $2.56 million = $42.46 million

Profitability index (P.I) = PV of future cash flows / Initial investment

= 42.46 / 30

= 1.387

Therefore, the correct option is (c) 1.387.

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Answer:

\(y = \frac{13}{16}x - \frac{9}{8}\)

Step-by-step explanation:

to answer this question you must first know what slope intercept form is

that is y = mx + b

so first you must isolate the y

subtract 13x from both sides

-16y = -13x + 18

make sure to put -13x first

now divide everything by -16

\(y = \frac{13}{16}x - \frac{9}{8}\)

that is your answer

The total cost of one bandana is $0.60.

The theory used in this question is the multiplication principle, which states that when multiplying a number by a factor, the product will be equal to the number multiplied by the factor. In this case, the number is 0.5 yards of fabric, and the factor is 2, so the product is $1.20.

Step 1: Calculate the cost of 0.5 yards of fabric.

Step 2: Multiply the cost of 0.5 yards of fabric by 2, since you need 0.5 yards of fabric to make a banana.

Step 3: The total cost of one bandana is the cost of 0.5 yards of fabric multiplied by 2, which is $1.20.

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For the triangle to be true, the square of the hypothenuse is equal to sum of the square of the leg and the sum of the angles is equal to 180 degrees

The Pythagoras theorem states that if a triangle is right-angled (90 degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides. Observe the following triangle ABC, in which we have BC² = AB² + AC2​². Here, ​​​​AB is the base, AC is the altitude (height), and BC is the hypotenuse. It is to be noted that the hypotenuse is the longest side of a right-angled triangle.

In this case, for the triangle to be true,

1. The sum of square of two sides (s) and (r) must be equal to the square of t

t² = s² + r²

2. The sum of angles in the right angle triangle must be equal to 180 degrees

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Answer:

600

Step-by-step explanation:

cus

Answer:

600 decimeters

Step-by-step explanation:

60 times 10

Answer:

If you're trying to find h, then the answer is A.

Step-by-step explanation:

5.3 x 2.98 = 15.79, which rounds up to 15.8.

15.8 + 3 = 18.8

Answer:

A. 2.98

Step-by-step explanation:

When you substitute h for the answers shown, you get different numbers.

When you substitute h for 2.98 you are given 15.794

15.794 + 3 is 18.794

Rounding 18.794 to the next tenth is 18.8

Answer: A. 2.98

To determine if a function crosses the horizontal asymptote, analyse the behavior of the function as it approaches the asymptote and on either side of it.

1. Identify the horizontal asymptote of the function. The horizontal asymptote is a horizontal line that the function approaches as the independent variable (usually denoted as x) goes to positive or negative infinity. It is often denoted by a horizontal line y = a, where "a" is a constant.

2. Examine the behavior of the function as x approaches positive infinity. Evaluate the limit of the function as x goes to positive infinity. If the limit is equal to the value of the horizontal asymptote, then the function does not cross the asymptote. However, if the limit does not equal the asymptote, move to the next step.

3. Examine the behavior of the function as x approaches negative infinity. Evaluate the limit of the function as x goes to negative infinity. If the limit is equal to the value of the horizontal asymptote, then the function does not cross the asymptote. If the limit does not equal the asymptote, proceed to the next step.

4. Investigate the behavior of the function around critical points or points where the function changes its behavior. These points may include the x-intercepts or vertical asymptotes. Determine if the function crosses the asymptote around these points by analyzing the behavior of the function in their vicinity.

If, at any point in this process, the function crosses the horizontal asymptote, then it does not have a true horizontal asymptote. However, if the function approaches the asymptote and does not cross it at any point, then it has a horizontal asymptote.

It's important to note that some functions may have multiple horizontal asymptotes or no horizontal asymptote at all. The steps outlined above are a general guideline, but the specific behavior of the function needs to be analyzed to make a conclusive determination.

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Answer:

44%

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

The critical value(s) and rejection region(s) for the type of z-test with a level of significance a = 0.03 and a right-tailed test are as follows :Step 1: Determine the critical value of  zThe critical value is calculated by using the normal distribution table and the level of significance. A right-tailed test will have a critical value of zα. For a level of significance of 0.03, we will look for the z-value that corresponds to 0.03 in the normal distribution table.Critical value for a = 0.03 is z = 1.88 (approx).Step 2: Determine the Rejection Region The rejection region for a right-tailed test is defined as any z-value that is greater than the critical value. That is, if the test statistic is greater than 1.88, we reject the null hypothesis at the 0.03 level of significance, and if it is less than or equal to 1.88, we fail to reject the null hypothesis.Therefore, the rejection region for a right-tailed test with a level of significance of 0.03 is as follows:Rejection Region: Z > 1.88  OR  Z ≤ -1.88Graph: The graph for the given values will be as follows:The red line represents the critical value, and the shaded region on the right-hand side of the red line represents the rejection region. If the calculated test statistic is greater than the critical value of z, which is 1.88 in this case, we will reject the null hypothesis.

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Answer:

15 hour(s) and 30 minute(s).

Step-by-step explanation:

Answer:

krkrkrl4k3?8999kekek

Step-by-step explanation:

the UK. I have been a while. I have been a while. I have been a while. I have been a while 6e5 the UK. I have been a while. I have been a while. I have

. How do we have a look at the moment. The comments for the first time in the UK. I

Answer:

63/10 + 71/ 10 (10a -7)

Step-by-step explanation:

Hope this helps! Tell me if its wrong! If its right give me 5 stars & a Thank you please!!

The real answer is B

Answer:

B

Step-by-step explanation:

∠ 1 and ∠ 2 are Alternate exterior angles and are congruent, thus

∠ 2 = ∠ 1 = 34° → B

Answer: 25 kilometers for part A. 12 for part B.

Step-by-step explanation: Teacher told the answer.

The first mistake McKenna made when change the expression to standard form is in step 2.

PEMDAS in mathematics it is a order of operations that must be prioritize when involving more than one operation. PEMDAS is abbreviation for Parentheses, Exponents, Multiply, Divide, Add, Subtract.

For multiply and divide the priority is for those who come first. Also for add and subtract the priority is for those who come first. And for the rest is the priority in order Parentheses, Exponents, Multiply and Divide, Add and Subtract.

In step 2, McKenna added 3 and -5 first when McKenna should have multiplied -5 by (3a+6). Thus, the step 2 is the first time McKenna made a mistake during change the expression to standard form.

You question is incomplete, but most probably your full question was

McKenna was asked to write the following expression in standard form.

3−5(3a+6)

When writing the expression in standard from, McKenna made a mistake.

3−5(3a+6)

3+(−5)(3a+6) Step 1

−2(3a+6) Step 2

−6a+(−12) Step 3

−6a−12 Step 4

McKenna made her first mistake in

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(a)  If the functions u and v are harmonic in a domain D then the product of two harmonic functions is not necessarily harmonic.

This can be seen by considering the product of two simple harmonic functions:u(x, y) = cos(x)cos(y)v(x, y) = sin(x)sin(y)The product of these two functions is:uv(x, y) = cos(x)cos(y)sin(x)sin(y)

The Laplacian of this product is:∆(uv) = ∂^2(uv)/∂x^2 + ∂^2(uv)/∂y^2= -2cos(x)cos(y)sin(x)sin(y)≠ 0Therefore, the product of two harmonic functions is not necessarily harmonic.(b) The derivative of a harmonic function is not necessarily harmonic.

This can be seen by considering the derivative of the harmonic function u(x, y) = cos(x)cos(y):du/dx = -sin(x)cos(y)The Laplacian of this derivative is:∆(du/dx) = ∂^2(du/dx)/∂x^2 + ∂^2(du/dx)/∂y^2= -cos(x)cos(y)≠ 0.

Therefore, the derivative of a harmonic function is not necessarily harmonic.

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For the equation (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, the value of k = 5/6.

Since the equation is (2k + 1)x² + 2x = 10x - 6, we collect subtract 10x from both sides and add 6 to both sides.

So, we have (2k + 1)x² + 2x - 10x + 6 = 10x - 6 - 10x + 6

(2k + 1)x² - 8x + 6 = 0

For the equation, (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, this new equation (2k + 1)x² - 8x + 6 = 0 must also have two real and equal roots.

For the equation to have two real and equal roots, its discriminant, D = 0.

D = b² - 4ac where b = -8, a = 2k + 1 and c = 6.

So, D =  b² - 4ac

D =  (-8)² - 4 × (2k + 1) × 6 = 0

64 - 24(2k + 1) = 0

Dividing through by 8, we have

8 - 3(2k + 1) = 0

Expanding the bracket, we have

8 - 6k - 3 = 0

Collecting like terms, we have

-6k + 5 = 0

Subtracting 5 from both sides, we have

-6k = -5

Dividing through by -6, we have

k = -5/-6

k = 5/6

So, for the equation (2k + 1)x² + 2x = 10x - 6 to have two real and equal roots, the value of k = 5/6.

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A number line and expression show how to find the distance from 4 to 1 is: B. A number line from -5 to 5 and two points on 1 and 4.

A number line can be defined as a type of graph with a graduated straight line which contains both positive and negative numbers (numerical values) that are placed at equal intervals along its length.

This ultimately implies that, a number line can be used to determine the difference between two numbers such as 4 and 1. Also, a number line typically increases in numerical value towards the right and decreases in numerical value towards the left.

In this context, we can reasonably infer and logically deduce that number line C shows the distance from 4 to 1.

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Answer:

76 unit

Step-by-step explanation:

because added the rectangle size and added the 60 with 16

Answer:

Check pdf

Step-by-step explanation: