In a two-tailed hypothesis test comparing the means of independent samples, the test statistic is 3.06 and the critical values are /-2.086. True or false: the null hypothesis is not rejected.

The quotient of the rational expressions shown above is given by, Answer: option (C) 7x²/6x-10

To simplify the expression 7x² / 3x-5 / 2x+6 / x+3

We need to perform the following steps:

Invert the divisor.

Change the division to multiplication.

Factor the numerator and denominator.

First, divide the first term in the numerator (7\(x^2\)) by the first term in the denominator (2x) to get 3.

Then multiply (2x + 6) by 3 to get 6x + 18 Subtract this from the numerator.

2x + 6 | 7\(x^2\) + 3x - 5

- (6x + 18)

_______

-3x - 23

Then subtract the following term from the numerator: -3x.

Dividing -3x by 2x gives -3/2.

Multiply (2x + 6) by -3/2. The result is -3x - 9.

Subtract this from the previous result.

3 - (3/2)x

_________

2x + 6 | - 14

The result of polynomial long division is -14.

Therefore, the quotient of the rational expression is (7\(x^2\) + 3x - 5) / (2x + 6) -14.

So the correct answer is option D: -14.

Cancel out any common factors.

Multiply the remaining terms to get the answer.

For more related questions on rational expressions:

https://brainly.com/question/30968604

#SPJ8

The statement is correct about the radionuclide the atomic number is 31, the mass number is 67, and its symbol is superscript 67 subscript 31 baseline upper g a.

To answert the question, we need to know what an atom is.

An atom is the smallest indivisible part of a substance. It is represented by letters.

So, since the atom of this radionuclide contains 31 protons and 36 neutrons.

So, its atomic number is 31. Its mass number is number of protons + number of neutrons = 31 + 36 = 67. Its symbol is superscript 67 and subscript 31.

So, the statement is correct about the radionuclide the atomic number is 31, the mass number is 67, and its symbol is superscript 67 subscript 31 baseline upper g a.

Learn more about atom here:

https://brainly.com/question/1805828

#SPJ4

Answer:

10

Step-by-step explanation:

P.s. Coefficient always goes before the variable

= 2b + 4

= 2(3) + 4    Substitute b for 3

= 6 + 4

= 10

Step-by-step explanation:

The solution is detailed...

Check it out

The closest match to the calculated percentile ranking of 62.5% is option D) 62. Therefore, the correct answer for the percentile ranking of the data point 130 is D) 62.

The given dataset is: 124, 136, 128, 122, 130, 132, 122, 120, 127, 124, 128, 138, 120, 124, 126, 121. We are interested in finding the percentile ranking for the data point 130.

To determine the percentile ranking, we need to count the number of data points that are less than or equal to 130. In this case, there are 10 data points that meet this criterion: 124, 128, 122, 130, 122, 120, 127, 124, 128, 124.

The percentile is then calculated by dividing the number of data points less than or equal to the given value (10) by the total number of data points (16) and multiplying by 100. The percentile ranking for 130 is (10/16) * 100 = 62.5%.

Among the provided options, the closest match to the calculated percentile ranking of 62.5% is option D) 62. Therefore, the correct answer for the percentile ranking of the data point 130 is D) 62.

Learn more about percentile ranking here:

https://brainly.com/question/10684835

#SPJ11

Step-by-step explanation:

Set up a ratio

EF is to JK    as   CF is to GK

60/40 = CF/38

 then    38 * 60/40 = CF = 57  units

Answer:

The answer is C

Step-by-step explanation:

25 + 57 + 34 = 116, so at least 116, not 116.

The angle is close to 90+45 = 135

assuming with this, the asnwer is C

Answer:

B. 173

Step-by-step explanation:

just add them all up! for DFE, BFC has the same sign, which i assume means it is the same thing

Answer:

120

Step-by-step explanation:

betwenn 360 & 600, 120 is the greatest common factor

Answer:

Step-by-step explanation:

The equation of the line that passes through (1, 1) and (13, 10) will be y = (3/4)x + 1/4. Then the correct option is D.

An association between various factors brings about a direct model when a diagram is shown. The variable will have a level of one.

The linear equation is given as,

y = mx + c

Where m is the slant of the line and c is the y-block of the line.

The equation of the line is passing through (1, 1) and (13, 10). Then the equation of the line is given as,

(y - 1) = [(10 - 1) / (13 - 1)](x - 1)

Simplify the equation in slope-intercept form, then we have

(y - 1) = [(10 - 1) / (13 - 1)](x - 1)

y - 1 = (9 / 12)(x - 1)

y - 1 = (3/4)(x - 1)

y = (3/4)x + 1 - 3/4

y = (3/4)x + 1/4

The condition of the line that goes through (1, 1) and (13, 10) will be y = (3/4)x + 1/4. Then, at that point, the right choice is D.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

Answer:

No.

Step-by-step explanation:

313756 is not divisible by 9 .

Easy way to find it out. - 313756

3+1+3+7+5+6 = 25

25 is not divisible by 3...so , it is not divisible by 9 too

Hope it helps you

The numbers in this problem are classified as follows:

More can be learned about rational and irrational numbers at brainly.com/question/5186493

#SPJ1

Answer:

1. 3

2. 12

3. 27

Step-by-step explanation:

Answer:

1. 3                2. 12                3. 27

Step-by-step explanation:

1. 25's perfect square would be 5. 81's would be 9. 100's is 10. 121's is 11. So therefore, that would leave you with 3.

2. 4's is 2. 9's is 3. 144 is 12. 36 is 6. Therefore, 12 is not a perfect square.

3. The perfect square of 1 is obviously 1. 16 is 4, 49 is 7, and 64 is 8. So, 27 is the odd one out.

I really hope this helped! Good luck :)

calculatedThe slope between any two points can be calculated by dividing the change in y by the respective change in x value.

Example

To calculate the slope of the line joining the points (1,2) and (3,4):

The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b. This equation represents the plane that is tangent to the graph of f at the specified point (a, b).

To find the equation for the tangent plane to the graph of the function f(x, y) = 2e^x - y at a given point (x0, y0), we need to calculate the partial derivatives of f with respect to x and y at that point.

The partial derivative of f with respect to x, denoted as ∂f/∂x or fₓ, represents the rate of change of f with respect to x while keeping y constant. Similarly, the partial derivative of f with respect to y, denoted as ∂f/∂y or fᵧ, represents the rate of change of f with respect to y while keeping x constant.

Let's calculate these partial derivatives:

fₓ = d/dx(2e^x - y) = 2e^x

fᵧ = d/dy(2e^x - y) = -1

Now, we have the partial derivatives evaluated at the point (x0, y0). Let's assume our point of interest is (a, b), where a = x0 and b = y0.

At the point (a, b), the equation for the tangent plane is given by:

z - f(a, b) = fₓ(a, b)(x - a) + fᵧ(a, b)(y - b)

Substituting fₓ(a, b) = 2e^a and fᵧ(a, b) = -1, we have:

z - f(a, b) = 2e^a(x - a) - (y - b)

Now, let's substitute f(a, b) = 2e^a - b:

z - (2e^a - b) = 2e^a(x - a) - (y - b)

Rearranging and simplifying:

z = 2e^a(x - a) - (y - b) + 2e^a - b

The final equation for the tangent plane to the graph of f at the point (a, b) is z = 2e^a(x - a) - y + 2e^a - 2b.

This equation represents the plane that is tangent to the graph of f at the specified point (a, b).

Learn more about tangent here:

https://brainly.com/question/10053881

#SPJ11

Answer:

2 radical 13

Step-by-step explanation:

Answer:

Answer is C

Step-by-step explanation:

JUST trust my gut

3. If triangle ABC was reflected over the x-axis, what would be the coordinate of B'?

When you reflect over the x-axis, you will flip the sign for the y-coordinate. If you reflect over the y-axis, you will flip the sign for the x-coordinate.

In this case, you are reflecting point B (4 , 3) over the x-axis, which will flip the x-coordinate sign to B' (-4 , 3)

D) (-4 , 3)

2. Rotate this figure 270 degrees clockwise

Clock-wise mean you are rotating turning right. 180° is half way, and so it will be D), as 180° is the 3rd option, and then a extra 90° will become D).

Answer:

(4, -3)

last option

Step-by-step explanation:

If a point is reflected over the x-axis then (x, y) → (x, -y)

B = (4, 3)

Therefore, B' = (4, -3)

The original arrowhead is pointing south (down).

If the arrowhead is rotated 270° clockwise, then it will point to the east (right).  So the solution is the last option.

If a student was randomly chosen from the middle school of rock, there is a 20% chance that they would be playing the drums.

Probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.

The probability that a student chosen at random will play the drums can be calculated by dividing the total number of drum players by the total number of students in both grade levels.

For this calculation, we will consider the total number of students in both grades, which is 70 (5+12+14+4+12+5+10+8).

Therefore, the probability of a student chosen at random playing the drums can be calculated as follows:

(14 Drum Players/70 Total Students) x 100 = 20%

Rounded to the nearest whole number, the probability of a student chosen at random playing the drums is 20%.

This means that if a student was randomly chosen from the middle school of rock, there is a 20% chance that they would be playing the drums.

For more questions related to whole number

https://brainly.com/question/9879870

#SPJ1

Answer: compressed horizontally

Step-by-step explanation:

The required section modulus for the beam to support the moment of 786 k-ft with a yield of the stress of 46ksi is around 204.87 \(in^3\).

For the calculation of the section modulus for the beam to support the moment given, let's use the elastic beam design principles.

The required formula is:

\(S = M/ f\)

S = required section modulus

M = moment

f = yield stress of the material

The known values are

M = 786 k-ft

f = 46 ksi

We need to convert the units from k-ft to standard form in-lb.

As we know

1 k-ft = 12,000 in-lb

So required unit of M = 786 k-ft × 12,000 in-lb = 9,432,000 in-lb

Let's now calculate the  required section modulus:

\(S = M/f\) = 9,432,000 in-lb/ 46 ksi

We will need to convert the kips per square unit from cubic inches to square inches.

\(1in^3 = 1/12 ft^3\)

\(= 1/12 *12^2 = 1/12 ft^2\)

= 1/12 \(in^2\)

S = 9,432,000 in-lb / 46,000 psi

S = 204.87 \(in^3\).

Learn more about modulus from the given link:

https://brainly.com/question/32572508

#SPJ4

The highest point scored is by Carlos with 19 points. Mario's highest was 15. so, Carlos scored 4 points more than Mario.

In the 7th game, Carlos scored 19 points which is the highest point of his game. In the 1st game, Mario scored 15 points which was the highest point he scored. Therefore, Carlos had the highest scoring game between the two of them. Carlos scored 4 points more than Mario did in his highest-scoring game. You can also construct a box plot for this question which will help you visualise this better. The box plot can be made by drawing a number line and marking the following points: minimum, first quartile, median, third quartile and maximum.

Learn more about point scored here:

https://brainly.com/question/29254964

#SPJ4

The full question is:

Mario and Carlos, two brothers, play for the same basketball team. Here are the

points they scored in 10 games:

Game 1 2 3 4 5 6 7 8 9 10

Mario 15 X X 12 7 11 12 11 10 11

Carlos 10 X 9 12 15 X 19 11 12 12

(Xs mark games each one missed.) Which brother had the

highest-scoring game? How many more points did he score in

that game than the other brother did in his highest-scoring game?

Answer:

17°

Step-by-step explanation:

m∠1 = m∠2.

Set the expressions for 1 and 2 equal to each other.

6x + 5 = 9x - 46

Separate x's on one side.

3x = 51

x = 17

Answer:

An exponential function has the form `f(x) = ab^x`, where `a` and `b` are constants. To find the exponential function that passes through the points `(-2,1)` and `(-1,2)`, we can use these points to set up a system of equations to solve for the values of `a` and `b`.

Substituting the coordinates of the first point into the equation for an exponential function gives us:

`1 = ab^(-2)`

Substituting the coordinates of the second point into the equation for an exponential function gives us:

`2 = ab^(-1)`

Dividing these two equations gives us:

`(2)/(1) = (ab^(-1))/(ab^(-2))`

`2 = b`

Now that we know that `b=2`, we can substitute this value back into either equation to solve for `a`. Substituting into the first equation gives us:

`1 = a(2)^(-2)`

`1 = a(1/4)`

`a = 4`

So, the exponential function that passes through the points `(-2, 1)` and `(-1, 2)` is given by:

`f(x) = 4 * 2^x`.

To find the exponential function for the graph passing through (-2,1) and (-1,2), we need to use the general form of an exponential function, which is:

y = a * b^x

where:

a is the initial value or the y-intercept of the function

b is the base of the exponential function

x is the variable or the exponent

To determine the values of a and b, we need to use the two given points and solve for the corresponding equations. Substituting the first point (-2,1), we get:

1 = a * b^(-2)

Substituting the second point (-1,2), we get:

2 = a * b^(-1)

Now, we can solve for a and b by eliminating one variable. Dividing the second equation by the first equation, we get:

2/1 = a * b^(-1) / (a * b^(-2))

2 = b

Substituting this value of b into the first equation, we get:

1 = a * 2^(-2)

a = 4

Therefore, the exponential function that passes through (-2,1) and (-1,2) is:

y = 4 * 2^x

or

f(x) = 4 * 2^x

Answer:

5

Step-by-step explanation:

ty

]

If we can write

\(5x^2 + nx + 48 = (ax + b) (cx + d)\)

then expanding the right side gives

\(5x^2 + nx + 48 = acx^2 + (ad+bc)x + bd\)

so that \(ac=5\), \(ad+bc=n\), and \(bd=48\), where \(a,b,c,d\) are integers. We want to maximize \(ad+bc\).

5 is prime, so \((a,c)\) can be either (1, 5) or (5, 1). Let \(a=5\) and \(b=1\). Then maximizing

\(ad+bc=5d + c\)

is just a matter of picking the largest possible value for \(d\), which is 48. Then \(\max\{ad+bc\}=5\times48+1\times1=\boxed{241}\).

The number of miles to drive for 30 gallons is 960 miles

From the question, the function definition is given as

d(g) = 32g

Where g represents the number of gallons and d represents the distance

The function value to calculate is given as

d(30)

This means that we calculate the number of miles to drive for 30 gallons

So, we have

d(30) = 32(30)

This gives

d(30) = 32 x 30

Evaluate the product

d(30) = 960

Hence, the function value is d(30) = 960

Read more about functions at

https://brainly.com/question/28532394

#SPJ1

The probability that less than half of the sample will say that they support the increase is given as follows:

0.0885 = 8.85%.

The z-score of a measure X of a variable that has mean symbolized by \(\mu\) and standard deviation symbolized by \(\sigma\) is obtained by the rule presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

n = 500, p = 0.53.

Hence the mean and the standard error are given as follows:

Hence the probability of less than half is the p-value of Z when X = 0.5, hence:

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

Z = (0.5 - 0.53)/0.0223

Z = -1.35

Z = -1.35 has a p-value of 0.0885.

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

#SPJ1

Answer:

f(x) = x² + 8 - 16x

= x² - 16x + 8

= (x² - 16x + 64) - 64 + 8

= (x - 8)² - 56

Answer:

A.    f(x) = (x – 8)2 – 56

Step-by-step explanation:

so much for expert verified, huh.. -_-

The missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality: x > -9

The missing step in solving the inequality 4(x – 3) + 4 < 10 + 6x is step 6: The division property of inequality.

After step 4, which is -2x < 18, we need to divide both sides of the inequality by -2 to solve for x.

However, since we are dividing by a negative number, the direction of the inequality sign needs to be reversed.

Dividing both sides by -2:

-2x / -2 > 18 / -2

This simplifies to:

x > -9

Therefore, the correct answer is x > -9.

Learn more about inequality at https://brainly.com/question/25275758

#SPJ1

Answer:

Rs 6900

Step-by-step explanation:

To calculate the tax amount the girl should pay in a year, we need to determine the taxable income and then apply the corresponding tax rates.

The taxable income is calculated by subtracting the tax-free allowance from the girl's early income:

Taxable Income = Early Income - Tax-Free Allowance

Taxable Income = 150,000 - 100,000

Taxable Income = 50,000

Now, we can calculate the tax amount based on the given tax rates:

For the first 20,000 rupees, the tax rate is 12%:

Tax on First 20,000 = 20,000 * 0.12

Tax on First 20,000 = 2,400

For the remaining taxable income (30,000 rupees), the tax rate is 15%:

Tax on Remaining 30,000 = 30,000 * 0.15

Tax on Remaining 30,000 = 4,500

Finally, we add the two tax amounts to get the total tax she should pay in a year:

Total Tax = Tax on First 20,000 + Tax on Remaining 30,000

Total Tax = 2,400 + 4,500

Total Tax = 6,900

Therefore, the girl should pay 6,900 rupees in tax in a year.