is the difference in years at the company between employees with a high school degree and those with an mba significant at the 95% confidence level? remember, differences are significant at the 95% confidence level when the p-value is less than .05.

the abundance expressed as cells per ml would be: 7.70*10^8

Here,

Initial population = 9019

Growth rate = 0.9502 hr-1

Time = 17 hrs

We know that,

Final population = Initial population ( 1 + Growth rate)Time

= 9019 ( 1 + 0.9502 )17

= 9019 ( 1.9502 )17

= 9019 x 85378

= 770,024,182

= 7.70*10^8

A bacteria culture is a test to distinguish whether you have a bacterial disease. It very well may be performed on an example of blood, stool, pee, skin, bodily fluid, or spinal liquid. Utilizing this kind of test, a medical services supplier can distinguish what caused a disease and decide the best therapy.

Exponential growth is an example of information that shows more keen increments after some time.

In finance, compounding makes exponential returns.

Bank accounts with a building financing cost can show exponential growth.

to know more about exponential growth click here:

https://brainly.com/question/10284805

#SPJ4

the complete question is:

7 + 35 2 points A culture of bacteria enters the exponential growth phase with 9,019 cells per ml. The culture has a growth rate constant of 0.9502 hours 1. After 17 hours, what is the abundance expressed as cells per ml? 1 • Report your answer in scientific notation to two decimal places. Remember to include trailing zeros!! o For example: • 42,000,000 would be expressed as 4.20*10^7 42,367,000 would be expressed as 4.24*10^7 2 3 0.54 4 Previous Next 5 6 7 00 8 9 10 11 12

The nature of formula (Permutations or Combinations) for each scenario is the following:

1) Permutations ; 2) Combination

3) Combination ; 4) Permutations

5)Permutations ; 6)Combination

7) Combination ; 8)Combination 9)Combination ; 10)Combination.

Permutations formula: Permutation is considered an ordered combination. The general formula for this is,

P(n, r) = n! /(n-r)!

Combination formula: It is considered arrangement ways but without ordered combination. The general formula for this is C(n, r) = n!/ (n-r)! r!

Now, we have provide some situations and we have to resolve them.

1) Determining the top three winners ing Science Quiz have to Bee is an example of Permutation as here we just arrange the position for top winners.

2) Forming lines from six given points with no three of which are collinear, is an example of combination because only pair of points is needed.

3) It will be a combination as here we select 3 points to make a triangle user.

4) Four people posing for pictures is an example of Permutation as oder does not matter.

5) Assembling a jigsaw puzzle is an example of Permutations.

6) As here we choose 2 household chores so it is a combination.

7) Selecting 5 basketball players out of 10 team members for the different positions members it is a combination.

8) Choosing three friend for birthday party is combination formula.

9) Picking 6 balls from a basket by 12 balls is combination formula.

10) Forming a committe of 5 members from do people 20 combinations people.

For more information about permutations and combinations, visit :

https://brainly.com/question/29594894

#SPJ4

Complete question:

P- Permutations or C- Combinations.

1. Determining the top three winners in a Science Quiz Bee

2. Forming lines from six given points with no three of which are collinear

3. Forming triangles from 7 given points with no three of which are collinear

4. Four people posing for pictures

5. Assembling a jigsaw puzzle

6. Choosing 2 household chores to do before dinner

7. Selecting 5 basketball players out of 10 team members for the different positions

8. Choosing three of your classmates to attend your party

9. Picking 6 balls from a basket of 12 balls

10. Forming a committee of 5 members from 20 people

A. The equation of the line that passes through the point (4,3) and has a slope of -5/2 is y = (-5/2)x + 13.

B. The x-intercept of the equation is x = 26/5 or 5.2

A. To find the equation of a line that passes through the point (4,3) and has a slope of -5/2, we can use the point-slope form of a linear equation:

y - y1 = m(x - x1)

where m is the slope, and (x1, y1) is the given point.

Substituting the values, we get:

y - 3 = (-5/2)(x - 4)

Expanding the right side:

y - 3 = (-5/2)x + 10

Adding 3 to both sides:

y = (-5/2)x + 13

B. To find the x-intercept of this equation, we need to set y = 0 and solve for x:

0 = (-5/2)x + 13

Multiplying both sides by -2/5:

0 = x - (26/5)

Adding (26/5) to both sides:

x = 26/5

Learn more about the equation of a line on:

https://brainly.com/question/13763238

#SPJ1

[tex]\qquad \qquad \textit{Inverse Trigonometric Identities} \\\\ \begin{array}{cccl} Function&Domain&Range\\[-0.5em] \hrulefill&\hrulefill&\hrulefill\\ y=cos^{-1}(\theta)&-1 ~\le~ \theta ~\le~ 1& 0 ~\le~ y ~\le~ \pi \\\\ y=tan^{-1}(\theta)&-\infty ~\le~ \theta ~\le~ +\infty &-\frac{\pi}{2} ~\le~ y ~\le~ \frac{\pi}{2} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]cos^{-1}\left( -\cfrac{\sqrt{2}}{2} \right)\implies \theta \hspace{5em}\stackrel{\textit{so we can say}}{cos(\theta )=-\cfrac{\sqrt{2}}{2}} \\\\\\ \theta =cos^{-1}\left( -\cfrac{\sqrt{2}}{2} \right)\implies \stackrel{ \textit{on the II Quadrant} }{\theta =\cfrac{3\pi }{4}} \\\\[-0.35em] ~\dotfill\\\\ sin\left[ cos^{-1}\left( -\cfrac{\sqrt{2}}{2} \right) \right]\implies sin\left( \cfrac{3\pi }{4} \right)\implies \boxed{\cfrac{\sqrt{2}}{2}}[/tex]

now let's find the angle for the inverse tangent

[tex]sin\left( \cfrac{\pi }{2} \right)\implies 1\hspace{5em}\stackrel{\textit{so we can say}}{tan^{-1}\left[ sin\left( \frac{\pi }{2} \right) \right]}\implies tan^{-1}(1) \stackrel{ \textit{on the I Quadrant} }{\implies\boxed{\cfrac{\pi }{4}}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin\left[ cos^{-1}\left( -\frac{\sqrt{2}}{2} \right) \right]~~ + ~~tan^{-1}\left[ sin\left( \frac{\pi }{2} \right) \right]\implies \cfrac{\sqrt{2}}{2}~~ + ~~\cfrac{\pi }{4} \implies \boxed{\cfrac{2\sqrt{2}+\pi }{4}}[/tex]

for the sine function we end up in the II Quadrant because the inverse cosine function range is constrained to the I and II Quadrants only, so our angle comes from that range.

Likewise, our angle from the inverse tangent comes from the I Quadrant, because inverse tangent range is only I and IV Quadrants.

48 is  length of chord AC.

How is a chord defined?

Three or more notes come together to form a chord. A single note, referred to as the root, serves as the foundation for chords. Triads will be covered in this lesson.

                         A root, third, and fifth are used to make them. A line segment connecting two locations on the circle's circumference is what is referred to as the chord of a circle. The diameter, which runs through the centre of the circle, is the lengthiest chord of the circle.

since OD intersects AB to form a right angle at point B, so it bisects the chord AC.

so AB = BC      (1)

given AB = 7x - 4

and CB = 6x  

from (1) we have

7x - 4 = 6x

x = 4

so AB = 7(4) - 4 = 24

CB = 6(4) = 24

length of chord AC = AB + BC = 24 + 24 = 48

Learn more about chord

brainly.com/question/8944240

#SPJ1

The complete question is -

Segment OD intersects AB to form a right angle at point B.

If AB = 7x - 4 and CB = 6x, what is the length of the chord AC?

The model will be as follows: y = b0 + b1x1 + b2x2 + u

To write a model that allows the variance of u to differ between men and women, the best option is to use the heteroscedasticity model. This model will enable the variances to differ between the genders without depending on other factors.

The model will be as follows: y = b0 + b1x1 + b2x2 + u, Where y = dependent variable, b0 = constant or intercept, b1 and b2 are the coefficients for the independent variables x1 and x2, u = error term for the model. However, this model does not allow the variance of u to differ between men and women.

To achieve this, we need to modify the model to allow the variance of u to differ between men and women. This can be done by using the weighted regression model. The model will be as follows: y = b0 + b1x1 + b2x2 + u, where y = dependent variable, b0 = constant or intercept, b1 and b2 are the coefficients for the independent variables x1 and x2, u = error term for the model.

The weights can be represented as: wi = 1/σ^2i, where: wi = weight for observation, iσi = standard deviation of the ith observation. This model will allow the variance of u to differ between men and women without depending on other factors.

To know more about variance refer here:

https://brainly.com/question/13708253

#SPJ11

Gillian pocket money is x, then Gillian  has [tex]5/12x[/tex]left after spending on snacks and bus fare.

The term "spending" refers to the act of spending money to buy goods or services. It is the act of exchanging money for something, usually a product, service, or experience. Buying groceries, paying for transportation, or purchasing clothing are all examples of spending. To avoid debt and achieve your financial goals, it is critical to manage your spending wisely in personal finance.

If Gillian spends one-third of her pocket money on snacks and one-quarter on bus fare, she spends 7/12 of her pocket money on snacks and bus fare.

This means she only has [tex]1 - 7/12 = 5/12[/tex] of her pocket money remaining.

As a result, if her pocket money is x, she has 5/12x left after paying for snacks and bus fare.

To know more about product visit:-

https://brainly.com/question/29652804

#SPJ9

Answer:

Step-by-step explanation:

Circle centre: (4,7)

Radius: 3

Equation is:

  [tex](x-h)^2+(y-k)^2=r^2[/tex]   (where (h,k) is center, r is radius)

  [tex](x-4)^2+(y-7)^2=3^2[/tex]

  [tex](x-4)^2+(y-7)^2=9[/tex]     (This is the general standard form )

in expanded form,

  [tex](x^2-8x+16)+(y^2-14y+49)=9[/tex]

  [tex]x^2+y^2-8x-14y+56=0[/tex]

Note: Unless stated either form is an acceptable answer.

The trade balance must be negative.

If Canada imports more goods and services than it exports, the trade balance must be negative.

Here's a step-by-step explanation of why this is true and why options A and E are wrong:

1. The trade balance is calculated as the value of exports minus the value of imports. If imports are greater than exports, the trade balance will be negative (C). This m that Canada is seen spending more on goods and services from other countries than it is receiving from the sale of its own goods and services to other countries.

2. The current account balance includes the trade balance, but also considers other transactions such as income from investments and transfers like foreign aid. While it is possible that a negative trade balance could be offset by other positive inflows, we do not have enough information to determine whether the current account balance must be negative (A) or positive (B). Therefore, we cannot definitively say that A or B is true.

3. The financial account (formerly called capital account) balance records the net change in ownership of financial assets, such as stocks and bonds, between a country and the rest of the world. A negative financial account balance means that a country's residents are purchasing more foreign assets than foreign residents are purchasing of that country's assets. A positive financial account balance means the opposite. Since we only have information about the trade balance and not the financial transactions, we cannot determine whether the financial account balance must be negative (D) or positive (E).

Based on the information given, we can only conclude that the trade balance must be negative (C) if Canada imports more goods and services than it exports.

To know more about trading:

https://brainly.com/question/8322028

#SPJ11

The circumference of Circle C is found as 53π.

In the given figure:

AD = 28 and DB = 45

∠ADB = 1/2 *∠ACB

∠ADB = 90

Applying Pythagorean theorem in ΔABD.

AB² = AD² + DB²

AB² = 28² + 45²

AB = √2809

AB = 53

Radius = 53/2

circumference of Circle C:

C = 2πr

C = 2*π* (53/2)

C =  53π

Thus, the circumference of Circle C is found as 53π.

know more about the circumference of Circle

https://brainly.com/question/23986334

#SPJ1

The distance from each landing point to the boat pulled ashore at point C is given by:-d = sqrt(25^2 (y^2/x^2 + 1))

WHAT IS TRIGONOMETRY ?

Trigonometry is a branch of mathematics that deals with the study of the relationships between the sides and angles of triangles. It is used to solve problems involving distances, heights, angles, and other geometric measurements. Trigonometric functions such as sine, cosine, and tangent are used to relate the angles of a triangle to its sides. Trigonometry has many practical applications in fields such as engineering, physics, and architecture, and is essential for understanding and solving problems involving waves, oscillations, and periodic phenomena. It is also used in navigation, surveying, and astronomy, among other areas.

To solve this problem, we need to use the concept of right triangle trigonometry.

Let's assume that point C is directly opposite the midpoint of AB, and that the distance from point C to the midpoint of AB is x. Then we can draw a right triangle with legs of length x and 25 (half of 50) and a hypotenuse of length d (the distance from point C to each landing point).

Using the Pythagorean theorem, we can write:

d^2 = x^2 + 25^2

We also know that the angles opposite the legs of the right triangle are complementary, so we can use the tangent function to write:

tan(theta) = x/25

where theta is the angle between the hypotenuse and the side of length 25.

We can rearrange this equation to solve for x:

x = 25 tan(theta)

Now we can substitute this expression for x into the equation for d^2:

d^2 = (25 tan(theta))^2 + 25^2

Simplifying this equation, we get:

d^2 = 25^2 (tan^2(theta) + 1)

Finally, we can use the fact that tan(theta) is equal to the height of the opposite bank divided by the distance from point C to the midpoint of AB. Let's call this distance y. Then we have:

tan(theta) = y/x

Substituting this expression for tan(theta) into the equation for d^2, we get:

d^2 = 25^2 (y^2/x^2 + 1)

So the distance from each landing point to the boat pulled ashore at point C is given by:

d = sqrt(25^2 (y^2/x^2 + 1))

where x and y are the distances from point C to the midpoint of AB and the opposite bank, respectively.

To know more about Trigonometry visit :-

https://brainly.com/question/13729598

#SPJ1

Answer:  SORRY THIS TOOK FOREVER ITS SO HARD- THE ANSWER IS F, C, D, H, E, A, G, B!!!

Step-by-step explanation:

THE LEAST TO GREATEST ARE F, C, D, H, E, A, G, B! HOPE IT HELPED!! :D

Answer:

Step-by-step explanation:

Let's call the length of the shorter leg of the isosceles trapezoid "a" and the length of the longer leg "b".

From the problem, we know that:

a = 0.1x - 0.5 (length of one leg is 0.1.x - 0.5 meters)

b = 0.3x - 2.1 (length of the other leg is 0.3.x-2.1 meters)

Since we know that the trapezoid is isosceles, we know that a = b. So we can set the two expressions equal to each other:

0.1x - 0.5 = 0.3x - 2.1

Now we can solve for x:

0.2x = 1.6

x = 8

Now that we know x, we can substitute it back into the expressions for a and b to find their lengths:

a = 0.1(8) - 0.5 = 0.3 meters

b = 0.3(8) - 2.1 = 0.3 meters

Therefore, each of the legs of the solar panel are 0.3 meters long.

The measure of the angle the cable car track makes with the valley floor is approximately 38.7 degrees.

The slope or inclination of a line or surface is sometimes referred to as the grade in mathematics. The ratio of the vertical change (rise) to the horizontal change (run) between any two locations on a line or surface is what is meant by this term. Usually, the grade is given as a percentage or a fraction. In engineering, building, and transportation, grades are frequently used to define the slope of roads, railroads, and other infrastructure. The grade, which refers to how steep the slope is when referring to a cable car, is a crucial element in determining the safety and effectiveness of the system.

To find the angle we use the trigonometric functions:

tan(θ) = grade = rise/run

Given that, the grade of the incline is 78%, then grade = 0.78.

θ = arctan(0.78) ≈ 38.7 degrees.

Hence, the measure of the angle the cable car track makes with the valley floor is approximately 38.7 degrees.

Learn more about grade here:

https://brainly.com/question/29150359

#SPJ1

The probability that exactly n of the collection of n spins will point up is given by the Binomial distribution. The Binomial distribution is a discrete probability distribution that models the number of successes (x) in a given number of trials (n) with a fixed probability of success (p) on each trial.

In this case, we have n trials, with a fixed probability of success of 0.5 (since each spin can point up or down with equal probability). The number of successes we're interested in is n. Thus, the probability of n successes is given by:P(X = n) = (nCn)(0.5)^n = 0.5^nwhere nCn is the number of ways to choose n items from n items, which is 1.Approximation for large n:When n is large, we can use the normal approximation to the Binomial distribution.

Specifically, we use the Normal distribution with mean np and variance np(1-p). In this case, p = 0.5, so the mean and variance are both (0.5)n. Therefore, the probability of n successes is approximately:P(X = n) ≈ φ(x) = (1/σ√2π)exp[-(x-μ)^2/2σ^2]where μ = np = (0.5)n and σ^2 = np(1-p) = (0.5)n(0.5) = (0.25)n.

Plugging these values in, we get:P(X = n) ≈ φ(x) = (1/σ√2π)exp[-(n/2n)^2/2(0.25)n] = (1/σ√2π)exp[-(1/8n)] = (1/√2πn)exp[-(1/8n)]Note that for the large n approximation to be valid, we require np and n(1-p) to be at least 10. In this case, np = (0.5)n and n(1-p) = (0.5)n, so this condition is satisfied for any n.

For more details about probability click here:

https://brainly.com/question/30034780#

#SPJ11

The false statement regarding the normal distribution is given as follows:

99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its mean.

The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is obtained by the equation presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The percentage of scores within 1 standard deviation of the mean is obtained considering that:

Hence the percentage is given as follows:

84.13 - 15.87 = 68.26%, which is different of 99.72%.

More can be learned about the normal distribution at https://brainly.com/question/25800303

#SPJ1

The correct answer is that all of the following are characteristics of the normal probability distribution as given below.

A subfield of statistics known as probability studies random events and their likelihood of happening.

The statement "99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its mean" is actually a characteristic of the normal probability distribution.

The correct answer is that all of the following are characteristics of the normal probability distribution:

To know more about probability, visit:

https://brainly.com/question/13604758

#SPJ1