Simplify the algebraic expression.
6n+5(10n-7)

Designing an experiment to study the factors that help students excel at school involves many factors that impact the students' academic performance. An experiment would involve manipulating independent variables to test the impact they have on the students' academic performance.

A good experiment would consist of a sample of students and categorizing them into groups. The groups would be the control group, treatment group 1, treatment group 2, and treatment group 3. Here is an example of how to design the experiment:

Control group: In this group, the students will continue with their regular academic routine without any changes.

Treatment group 1: The students in this group will participate in the daily exercise program in addition to their regular academic routine. This treatment group will be exposed to physical activity to determine whether it influences academic performance.

Treatment group 2: This group will be exposed to a nutrition program in addition to their regular academic routine. The nutrition program is intended to provide students with a well-balanced diet, including vitamins and minerals.

Treatment group 3: This group will be exposed to a combination of the nutrition program and the daily exercise program in addition to their regular academic routine. This group is expected to perform better than the other groups since they are getting both the benefits of exercise and healthy nutrition.

The independent variables that would be manipulated include daily exercise, nutrition programs, and a combination of daily exercise and nutrition programs. The study aims to determine which independent variable influences academic performance the most. It is expected that the group exposed to both daily exercise and nutrition programs would perform the best.

To know more about experiment refer here:

https://brainly.com/question/15088897#

#SPJ11

Answer:

A

Step-by-step explanation:

Answer:

A) The slope is 2/3 and y intercept is -2

Step-by-step explanation:

Took it on edge

The depth of water in a tank oscillates once every 6 hours, with a smallest depth of 5.5 feet and a largest depth of 8.5 feet. This can be expressed in a formula as a function of time in hours. The formula is: Depth = 5.5 + (3/2) * sin(2πt/6)

The formula is: Depth = 5.5 + (3/2) * sin(2πt/6), where t is the time in hours. This formula expresses the oscillating nature of the water level, which ranges from 5.5 to 8.5 feet. The sine function used in the formula reflects the oscillation of the depth. The frequency of the oscillation is determined by the factor (2πt/6) and the range is determined by the amplitude (3/2).
To better understand this formula, consider the example of a tank with a depth of 5.5 feet when the time is 0 hours. After 6 hours, the time has increased to t = 6 and the formula yields a depth of 8.5 feet. This shows that the formula is correctly representing the oscillation of the water level, with an amplitude of 3/2.

To summarize, the formula for the depth of water in a tank oscillating once every 6 hours with a smallest depth of 5.5 feet and a largest depth of 8.5 feet is given by the expression Depth = 5.5 + (3/2) * sin(2πt/6). This formula incorporates a sine function with a factor (2πt/6) and an amplitude of 3/2. The factor determines the frequency of the oscillation, while the amplitude determines the range of the oscillation.

For more such questions on Formula for depth.

https://brainly.com/question/30668704#

#SPJ11

The altitudes of a triangle are the perpendicular lines drawn from each vertex of the triangle to the opposite side.

The altitudes of a triangle are special lines that are perpendicular to the sides of the triangle. They are drawn from each vertex of the triangle to the opposite side. These lines intersect the opposite side at right angles. The intersection point is called the orthocenter of the triangle. Each triangle has three altitudes, one from each vertex. The lengths of the altitudes can vary depending on the shape and size of the triangle.

The altitudes of a triangle are useful in many geometric calculations and constructions. They help determine the height of the triangle, which is important in finding the area of the triangle. The altitudes also play a role in proving geometric theorems and properties related to triangles.

To know more about altitudes visit:

https://brainly.com/question/30490675

#SPJ11

Answer:

No

Step-by-step explanation:

When \(x=2\), \(y=-6(2)=-12\), not \(4\).

We don’t know the number of employees remaining at the company.

We don’t know the total number of employees remaining at the company.

The classification consists of gender, division, and employment type.

It doesn’t matter what order those attributes come in. A person who is male, age group 6, and employment type 10 has the same classification as someone who is of employment type 6, male, and age group10.

Therefore since order does not matter it is a combination question.

Assuming only two genders are allowed (you didn’t say and some people think there are about 10 of them)

It is either 120 (2 times 6 times 10) or "None of the above" if you believe there are more than 2 genders.

2×6×10=120

Learn more about employees at

https://brainly.com/question/1190099

#SPJ4

Answer:

y = 4(5)^x

Step-by-step explanation:

We can use the form y = ab^x to write the exponential function that passes through the given points.

First, we need to find the values of a and b. We can use the two points to create a system of equations:

0.8 = ab^(-1)

100 = ab^(2)

We can solve for a by multiplying the first equation by b and substituting it into the second equation:

100 = ab^(2)

100 = (0.8b)b^2

125 = b^3

b = 5

Now we can solve for a using either of the original equations:

0.8 = ab^(-1)

0.8 = a/5

a = 4

Therefore, the exponential function that passes through the given points is:

y = 4(5)^x

Using Euler's Method with a step size of h = 0.1, the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 are:

t = 0.1: y ≈ 1.1

t = 0.2: y ≈ 1.22

t = 0.3: y ≈ 1.34

t = 0.4: y ≈ 1.47

t = 0.5: y ≈ 1.61

To use Euler's Method, we start with an initial condition. In this case, the given initial condition is y(0) = 1. We can then iteratively calculate the approximate values of the solution at each desired time point using the formula:

Yn = Yn-1 + h * F(Xn-1, Yn-1)

Here, h represents the step size (0.1 in this case), Xn-1 is the previous time point (t = Xn-1), Yn-1 is the solution value at the previous time point, and F(Xn-1, Yn-1) represents the derivative of the solution function.

For the given differential equation +2y = 2 - ey, we can rearrange it to the form y' = (2 - ey) / 2. The derivative function F(Xn-1, Yn-1) is then (2 - eYn-1) / 2.

Using the initial condition y(0) = 1, we can proceed with the calculations:

t = 0.1:

Y1 = Y0 + h * F(X0, Y0)

= 1 + 0.1 * [(2 - e^1) / 2]

≈ 1 + 0.1 * (2 - 0.368) / 2

≈ 1 + 0.1 * 1.316 / 2

≈ 1 + 0.1316

≈ 1.1

Similarly, we can calculate the approximate values of the solution at t = 0.2, 0.3, 0.4, and 0.5 using the same formula and previous results.

Using Euler's Method with a step size of h = 0.1, we found the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 to be 1.1, 1.22, 1.34, 1.47, and 1.61, respectively.

To know more about Euler's Method visit:

https://brainly.com/question/32691755

#SPJ11

The linear equation is written as:

y = (-1/2)*(x + 3) + 2

And its graph can be seen in the image at the end.

Here we don't have the options, so I will post the graph of the line.

A linear equation with a slope a and a known poing (h, k) is written as:

y = a*(x - h) + k

Here we know that the slope is -1/2 and the point is (-3, 2), then the linear equation is:

y = (-1/2)*(x + 3) + 2

To graph the linear equation we just need to find two points on the line and connect them with a line, we already know one, so let's find another.

If we use x = 1, then:

y = (-1/2)*(1 + 3) + 2

y = (-1/2)*4 + 2

y = -4/2 + 2 = -2 + 2 = 0

y = 0

The other point is (1, 0)

With these two we can draw the graph you can see below.

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

Answer:

y = -1/3x + 10

Step-by-step explanation:

Answer:

Step-by-step explanation:

21.925

It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

Let's first understand what is meant by the term "moderator.

"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.

Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.

So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

To know more about values visit :

https://brainly.com/question/30145972

#SPJ11

Answer:

8,024,832

Step-by-step explanation:

To solve the expression 27 × 18 × 3 × 43 × 128, you can follow these steps:

Start by solving the first two numbers:

Then, multiply the result by the next number:

Continue multiplying by the next number:

Finally, multiply by the last number:

Therefore, the final result of 27x18x3x43x128 is 8024832.

Answer:

C (5,3)

Step-by-step explanation:

I hope it is correct because I don't know if it is hope you also have a good day and pass this test

the answer

155

324

5/9 (87/3(1/12)= 155/324

The probability that each child develops Tay-Sachs disease is 0.25. Since the outcomes of the six pregnancies are mutually independent, we can multiply the probabilities to find the probability that all six children develop the disease. 0.25^6 = (1/4)^6 = 0.00390625

(b) The probability that only one child develops Tay-Sachs disease is 6 * (0.25)^1 * (0.75)^5 = 0.140625.

There are six possible ways for one child to develop Tay-Sachs disease and the other five children to not develop the disease. We can find the probability of each way and then add them up.

The probability that one child develops Tay-Sachs disease is 0.25. The probability that the other five children do not develop Tay-Sachs disease is 0.75.

The probability that one child develops Tay-Sachs disease and the other five children do not develop the disease is 6 * (0.25)^1 * (0.75)^5 = 0.140625

(c) The probability that the third child develops Tay-Sachs disease, given that the first two did not, is 0.25.

The fact that the first two children did not develop Tay-Sachs disease does not affect the probability that the third child will develop the disease. The probability that the third child develops Tay-Sachs disease is still 0.25.

To know more about probability click here

brainly.com/question/15124899

#SPJ11

Answer:

\(t1 {15y08 \frac{18 \gamma \gamma }{?} }^{2} \)

Answer: D is incorrect

Step-by-step explanation:

There are at least two group means that are significantly different from one another, according to the alternative hypothesis (H a). The alternative hypothesis is adopted if the outcome is statistically significant.

You can use ANOVA to determine whether differences between data sets are statistically significant. It functions by examining the levels of variance present within each group using samples drawn from each.

The likelihood that the mean of a sample taken from the data will be different owing to chance increases if there is a lot of variance (spread of data away from the mean) among the data groups.

In addition to examining the variance within the data groups, ANOVA also considers sample size (the smaller the sample, the lower the likelihood that outliers will be randomly selected from it) and sample mean differences (the greater the difference between the sample means, the greater the likelihood that an outlier will be randomly selected from it).

hence, The alternative hypothesis is adopted if the outcome is statistically significant.

learn more about anova test click here:

https://brainly.com/question/25800044

#SPJ4

The other root of the polynomial is 1 - √3.

The roots of a polynomial are the values of the independent variable at which the polynomial is zero.

If a polynomial has integral coefficients with 3 + i and 1 + √3  as roots, then what other roots must it have? To find the roots it has, we note that the root of a polynomial with a square root in the root also has the conjugate of the square root as a root.

So, since 1 + √3, the conjugate is also a root.

The conjugate is 1 - √3.

So, the other root is 1 - √3.

Learn more about root of a polynomial here:

https://brainly.com/question/2833285

#SPJ1

Answer:

A, good luck!!!

Step-by-step explanation:

The area of a circle can be calculated using the formula A = πr^2, where r is the radius of the circle. The radius is half the diameter, so for a circle with a diameter of 90 feet, the radius would be 45 feet.

Substituting this value into the formula for the area of a circle gives A = π * 45^2 = 2025π ≈ 6361.725 square feet.

Of the two options given, A: 3,627.5 ft2 is closest to the calculated area of the circular base of the sundial.

Random variables X and Y have the joint PMFPX,Y(x,y) = c|x+y| x=-2,0,2; y=-1,0,1 the answers are: 1. the value of the constant c is 1/12, 2. P[Y=X] = P[X=0, Y=0] = 0, and 3.P[X<1] is equal to 1/2.

1. To find the value of the constant c, we need to ensure that the sum of the joint probabilities over all possible values equals 1.

The given joint probability mass function (PMF) P(X,Y) is:

P(X=-2, Y=-1) = c|-2+(-1)| = c|(-3)| = 3c

P(X=-2, Y=0) = c|-2+0| = c|(-2)| = 2c

P(X=-2, Y=1) = c|-2+1| = c|(-1)| = c

P(X=0, Y=-1) = c|0+(-1)| = c|(-1)| = c

P(X=0, Y=0) = c|0+0| = c|0| = 0

P(X=0, Y=1) = c|0+1| = c|1| = c

P(X=2, Y=-1) = c|2+(-1)| = c|1| = c

P(X=2, Y=0) = c|2+0| = c|2| = 2c

P(X=2, Y=1) = c|2+1| = c|3| = 3c

Summing up these probabilities, we get:

3c + 2c + c + c + 2c + 3c = 12c

For this sum to equal 1, we have:

12c = 1

c = 1/12

Therefore, the value of the constant c is 1/12.

2. To find P[Y|X], we need to calculate the conditional probability of Y given X. Since the PMF is given, we can directly read the values:

P[Y=-1|X=-2] = c|-2+(-1)| = c|(-3)| = 3c = 3/12 = 1/4

P[Y=0|X=-2] = c|-2+0| = c|(-2)| = 2c = 2/12 = 1/6

P[Y=1|X=-2] = c|-2+1| = c|(-1)| = c = 1/12

Similarly, for other values of X, we can calculate the conditional probabilities.

P[Y=X] refers to the probability that Y is equal to X. Looking at the given PMF, we can see that the only case where Y=X is when X=0, as no other values in the PMF have the same value for X and Y.

Therefore, P[Y=X] = P[X=0, Y=0] = 0.

3. Finally, to find P[X<1], we need to sum up the probabilities for all Y values where X<1:

P[X<1] = P[X=-2, Y=-1] + P[X=-2, Y=0] + P[X=0, Y=-1] + P[X=0, Y=0]

      = 3/12 + 2/12 + 1/12 + 0 = 6/12 = 1/2.

Therefore, P[X<1] is equal to 1/2.

To learn more about variables from the given link

https://brainly.com/question/28248724

#SPJ4

it A

Step-by-step explanation:

The area and circumference to the nearest tenth include the following:

Area = 490.6 square meters.

Circumference = 78.5 meters.

In Mathematics, the area of a circle can be calculated by using this formula:

Area = πr²

Where:

r represents the radius of a circle.

Note: Radius = diameter/2 = 25/2 = 12.5 meters.

By substituting the radius into the formula for the area of a circle, we have the following;

Area of circle = 3.14 × 12.5²

Area of circle = 490.6 square meters.

In Mathematics, the circumference of a circle can be calculated by using the following mathematical expression:

Circumference of a circle, C = 2πr

Circumference of a circle, C = 2(3.14) × 12.5

Circumference of a circle, C = 78.5 m.

Read more on area of circle here: brainly.com/question/15531597

#SPJ1

Step-by-step explanation:

\(2x + y = 5 \\ - x + y = 2\)

\(y = 2 + x\)

\(2x + x + 2 = 5 \\ 3x + 2 = 5 \\ 3x = 3 \\ x = 1 \\ y = 2 + x \\ y = 3\)

Answer: $7.65 for a dozen/12

Step-by-step explanation: 2.55 x 3