The board of an internet start up company has sixteen members. if one person is in charge of research and one is in charge of marketing. in how many ways can these two positions be filled

Answer:

2(m + 3)/xa

Step-by-step explanation:

Answer:

4x=-12

Step-by-step explanation:

Let a number = X

So

The product of four and a number is negative twelve

4x=-12

Answer:

2.32

Step by Step Explanation:

5 and above, Give it a shove

1 rounds to 2 because of the 7

2.317 = 2.32

If the CAPM (Capital Asset Pricing Model) is valid, we would expect the estimated coefficient, g0, to be zero.

In the CAPM, the excess return of a stock (ri - rf) is modeled as a linear function of the stock's beta (bi), representing the systematic risk, and the nonsystematic variance (s2(ei)). The constant term in the regression equation, g0, represents the expected excess return when the beta and nonsystematic variance are both zero.

According to the CAPM, the expected excess return for a stock with zero systematic risk (beta) and zero nonsystematic variance should be equal to the risk-free rate (rf). Therefore, in the regression equation, the expected value of g0 would be zero.

So, if the CAPM is valid and the regression equation is estimated correctly, we would expect the estimated coefficient, g0, to be close to zero.

In practice, the estimated coefficient g0 is often found to be significantly different from the market risk premium. This is because the CAPM is a simplified model of the capital markets. It ignores factors such as investor risk aversion and transaction costs. As a result, the estimated coefficient g0 should be interpreted with caution.

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Answer:

f(-2) = 90

Step-by-step explanation:

Plugging in the value of f(x) into the equation:

f(-2) = 5(-2)3^(-2)

f(-2) = 5(-2)(-9)  - evaluate the power first

f(-2) = 90          - multiply from left to right to obtain answer

The surface area of the part of the plane 10x + 9y + z = 7 that lies inside the elliptic cylinder 16 = 1/49, more specific information is needed.

To express the surface area of the given function z = y^4 cos(x) over the triangle with vertices (-1, 1), (1, 1), (0, 2), we can set up an iterated integral using the following limits of integration:

a = -1

b = 1

g(x) = 1

h(x) = 2 - x

The surface area can be calculated using the formula:

Surface Area = ∬R √(1 + (dz/dx)^2 + (dz/dy)^2) dA

where R represents the region over which the surface area is calculated, dz/dx and dz/dy are the partial derivatives of z with respect to x and y, and dA represents the differential area element.

In this case, the integral can be set up as follows:

Surface Area = ∫(-1)^(1) ∫[1]^(2-x) √(1 + (dz/dx)^2 + (dz/dy)^2) dy dx

Now, let's calculate the surface area using the given equation:

Surface Area = ∫(-1)^(1) ∫[1]^(2-x) √(1 + (-y^4 sin(x))^2 + (4y^3 cos(x))^2) dy dx

Simplifying and evaluating this integral will yield the surface area of the given function over the specified triangle region.

Regarding the second part of your question about finding the surface area of the part of the plane 10x + 9y + z = 7 that lies inside the elliptic cylinder 16 = 1/49, more specific information is needed. The equation provided for the elliptic cylinder seems to be incomplete.

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(a) The null hypothesis (H0) is that the average operating hours before circuit breaker failure is equal to or greater than 10 months, while the alternative hypothesis (Ha) is that the average operating hours is less than 10 months. The engineer's claim aligns with the alternative hypothesis, suggesting a reduction in preventive maintenance cycle time.

(b) The appropriate test type for this scenario is a one-sample t-test, as we have a sample mean and want to compare it to a population mean. The data consists of the sample mean (6845 hours), sample size (30), population mean (10 months * 30 days * 24 hours), and standard deviation (766 hours).

(c) To calculate the critical value and the test statistic, we need to specify the significance level (α=0.05) and degrees of freedom (n-1=29). The critical value is obtained from the t-distribution, while the test statistic is calculated using the given data.

(d) By evaluating the test statistic with the critical value and the corresponding rejection region on the t-distribution graph, we can make a decision on whether to reject or fail to reject the null hypothesis.

(e) Based on the results of the hypothesis test, we can conclude whether there is sufficient evidence to support the engineer's claim of reducing preventive maintenance cycle time by comparing the test statistic with the critical value and making a decision at the chosen significance level.

(a) The null hypothesis (H0) can be written as: X >= 10 months, where X represents the average operating hours before circuit breaker failure. The alternative hypothesis (Ha) can be written as: X < 10 months. The engineer's claim aligns with the alternative hypothesis.

(b) The appropriate test type for this scenario is a one-sample t-test, as we have a sample mean (6845 hours) and want to compare it to a population mean (10 months * 30 days * 24 hours). The data consists of the sample mean, sample size (30), population mean, and standard deviation (766 hours).

(c) To calculate the critical value and the test statistic, we need to specify the significance level (α=0.05) and degrees of freedom (n-1=29). The critical value can be obtained from the t-distribution table or a statistical software. The test statistic can be calculated using the formula: t = (X - μ) / (s / √n), where X is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.

(d) By evaluating the test statistic with the critical value and comparing it to the rejection region on the t-distribution graph, we can make a decision. If the test statistic falls within the rejection region, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

(e) Based on the results of the hypothesis test, if the test statistic falls within the rejection region, we can conclude that there is sufficient evidence to support the engineer's claim of reducing preventive maintenance cycle time. If the test statistic does not fall within the rejection region, we fail to reject the null hypothesis and do not have enough evidence to support the claim.

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Answer:

b

Step-by-step explanation:

Answer:

i am pretty sure the answer is d

Step-by-step explanation:

let me know if this is wrong

Answer:

wouldn't this be 4,2?

Step-by-step explanation:

i remember doing this in school last year and dilation means you would multiple the coordinates by what ever the dilation factor was, in this case its 2.

Answer:

4800

Step-by-step explanation:

4773

The 3 is the ones digit.

The 7 to the left of the 3 is the 10s digit.

The 7 (in bold) to the left of the other 7 is the hundreds digit.

1. Make all digits to the right of the hundreds digit 0.

4700

2. We need to find out if we end up with 4700 or 4800.

Since the digit just to the right of the hundreds digit is greater than 4 (it is the tens digit which is a 7), then the hundreds digit 7 must go up 1 to 8.

Answer: 4800

Answer:

0.09

Step-by-step explanation:

if you are talking about simplifying the expression

Answer:

the answer is 9 hope this helped.

Step-by-step explanation:

45% × 20 =

(45 ÷ 100) × 20 =

(45 × 20) ÷ 100 =

900 ÷ 100 =9

Answer:

\(\frac{A+2c}{2}\) = b

Step-by-step explanation:

A = 2(b-c)

Distribute

A = 2b - 2c

+2c         +2c

A + 2c = 2b

/2           /2

\(\frac{A+2c}{2}\) = b

Answer:

\(m^{4}n^{5}\)

Step-by-step explanation: ( I'm a student, I'm not really good at explaining maths )

When dividing variables with exponents, you subtract the exponents that has the same variables, like this:

\(m^{16-12}n^{10-5}\)

Simplifying this becomes:

\(m^{4}n^{5}\)

the answer is 5 car / hr.........................................

Answer: Oh shoot that must suck I want to help but don't know!

Step-by-step explanation:

Answer: Can I see your questions

Step-by-step explanation:

At x = 1, the coordinates are (1, 4)

They represent the proportionality of 1 teaspoon of cumin and 4 teaspoons of chili powder.

The graph is proportional because as x increases, y al

Answer:

Formula:  V = 1/3πr^2h

Height: 6cm

Step-by-step explanation:

step one:

given information

volume =32π cm^#

radius=4cm

step two:

The formula is

V = 1/3πr^2h

substituting we have

32π =1/3π*4^2*h

32π=16πh/3

π cancels out

step three:

cross multiply we have

32*3=16h

divide both sides by 16 we have

96/16=h

h=6cm

The equation that represents a proportional relationship is y/X = 2.5. That is option D.

A proportional relationship is the type of relationship that exist when between two variables which can be represented as y and x where a constant of proportionality exists between the two variables as k.

The relationship between these two variables can either be directly proportional or indirectly proportional.

The relationship that exists between X and y is a direct proportional relationship with a constant of proportionality of 2.5.

y = 2.5 X

= y/X = 2.5. Where 2.5 is the constant.

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Answer:

16 months or a year and 4 months

Answer:

it would be 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

y + 7 = 1/4(x - 4)

y + 7 = 1/4x - 1

y = 1/4x - 8

Answer:

ok so first i want to figure out what 2/5 converted to percent is......

you can find it out on a calculator or on paper by dividing 2 / 5 = 0.4

so this is 40% and if it takes him half a minute to do this, it takes him about 30 seconds to finish 40% of the essay and there is a full 60% still waiting to be done, so lets see,

40% + 40% = 80%

so that is about 1 full minute to write 80% we are still left with 20% so let's see how much time does it take to write 20% of the essay, in 40% it takes 30 seconds and in 80% it takes 60 seconds. So since 20% is half of 40% then we must divide the time in half so 30 / 2 = 15

So if we add all these numbers up it equals 1:15 minutes to write an essay

I hope this helps and please mark brainliest if i got it right!

The time taken by Ben to write a full page will be 1:15 minutes.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

you can find it out on a calculator or on paper by dividing 2 / 5 = 0.4

So this is 40% and if it takes him half a minute to do this, it takes him about 30 seconds to finish 40% of the essay and there is a full 60% still waiting to be done, so let's see,

40% + 40% = 80%

so that is about 1 full minute to write 80% we are still left with 20% so let's see how much time it takes to write 20% of the essay, in 40% it takes 30 seconds and in 80% it takes 60 seconds. So since 20% is half of 40% then we must divide the time in half so 30 / 2 = 15

Therefore, the time takes Ben to write a full page will be 1:15 minutes.

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The sides of the isosceles triangle are 25 cm, 25 cm, and 25 cm.

The angles of the triangle are 60 degrees, 60 degrees, and 60 degrees.

The given isosceles triangle has a perimeter of 75 cm, and one of the sides is 25 cm. In an isosceles triangle, the two equal sides are adjacent to the base angle, which is opposite the base side.

Let's denote the equal sides of the triangle as 'a' and the base side as 'b'. Since we know one of the equal sides is 25 cm, we have a = b = 25 cm.

To find the remaining side, we can use the perimeter equation for a triangle: perimeter = a + a + b.

Substituting the known values, we have:

75 = 25 + 25 + b

75 = 50 + b

b = 75 - 50

b = 25 cm

Therefore, all three sides of the isosceles triangle are 25 cm each.

Now, let's consider the angles of the triangle. In an isosceles triangle, the base angles (opposite the equal sides) are congruent. Let's denote one of the base angles as 'x'.

Since we have an isosceles triangle with two equal sides of 25 cm, the base angles must be congruent. Therefore, we can write:

x = x

The sum of the angles in any triangle is 180 degrees. Since we have two congruent base angles, we can write the equation:

x + x + base angle = 180

Substituting x with the base angle, we have:

2x + x = 180

3x = 180

x = 60

Therefore, the base angle and each of the congruent angles in the isosceles triangle are 60 degrees.

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The value of x is 35°

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Angles on parallel lines can be ;

Corresponding to each other

Alternate to each other and

Vertically opposite to each other

In these cases , the angles are equal.

Therefore;

4x + 7 = 6x -63( corresponding angles)

collect like terms

4x - 6x = -63 -7

-2x = -70

divide both sides by -2

x = -70/-2

x = 35

Therefore the value of x is 35°

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Answer:

volume: 1/3 a²h

= 1/3 ×2²x6

= 8 feet³

Answer:

Step-by-step explanation:

The balance of the loan at the time of graduation is given as follows:

$4,887.67.

The amount of money earned, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

The parameters in the context of this problem are given as follows:

P= 4590, n = 12, r = 0.063, t = 1.

Hence the balance of the loan is given as follows:

A(1) = 4590(1 + 0.063/12)^(12 x 1)

A(1) = $4,887.67

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Therefore, the annual annuity payment can be approximately $6,069,727.

To calculate the size of the annual annuity payment, we can use the present value formula for an ordinary annuity. The formula is given by:

PMT = PV / [(1 - (1 + r)⁻ⁿ) / r]

Where:

PMT = Annual annuity payment

PV = Present value of the annuity

r = Annual interest rate

n = Number of periods

Given:

PV = $230 million

r = 8% = 0.08

n = 40 years

Using the formula, we can calculate the annual annuity payment:

PMT = 230,000,000 / [(1 - (1 + 0.08)⁻⁴⁰) / 0.08]

PMT ≈ $6,069,727

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Answer:

3

Step-by-step explanation:

Answer:

B and C represent it.

Step-by-step explanation:

If Andre babysat 5 times and earned the same amount each time then it would be represented by the five rectangles with W on them.

If Andre got a $4 tip at the end of the month then it would be represented by the small 4 rectangle at the end.

If Andre made a total of 99 dollars then the large grouping 99 at the top would represent that.

If a family of 5 went to a concert in which all tickets costed the same then it would be represented by the five rectangles with W on them.

If they paid $4 for parking then it would be represented by the small 4 rectangle at the end.

If they spent a total of 99 dollars then the large grouping 99 at the top would represent that.