how do you round decimals ?

Answer:

Yes the answer is 4

Step-by-step explanation:

You would subtract 2 on both sides, they would cancel each other and so, 6 - 2 = 4

Answer:

Step-by-sr+2=6tep explanation:

r+2-2=6-2

R=4

There are 720 different ways can a race with 6 runners be completed.

What is a combination?

The process of combining or the condition of combining. a combination of things; an amalgamation of concepts. a grouping of notes: A chord is a grouping of notes. a grouping of people or entities acting together to impede commerce.

Here, we have

The winner can be chosen from all 6 runners, the second person can be chosen from 5 people, the third - from 4, and so on.

So the total number of possible results can be calculated as:

n = 6×5×4×3×2×1= 6!

= 720

Hence, there are 720 different ways can a race with 6 runners be completed.

To learn more about the combination from the given link

https://brainly.com/question/11732255

#SPJ1

Two-tailed t-test can determine if the drug has a significant effect on reducing depression. The required assumptions for the t-test include independence and random sampling, normal distribution within each group, and approximately equal variances between the groups.

An example of a hypothesis test in this scenario would be to test whether the new antidepressant has a statistically significant effect on reducing depression. The graduate student formulates a non-directional hypothesis, which means that they are not specifying whether the drug will increase or decrease depression.

To conduct the hypothesis test, the graduate student decides to use a two-tailed t-test. This type of test is appropriate when the researcher is interested in determining if there is a significant difference between the sample mean and a hypothesized population mean.

The required assumptions for a t-test include:
1. The data being analyzed should be independent and randomly sampled.
2. The data should be normally distributed within each group or sample.
3. The variances of the two groups or samples being compared should be approximately equal.

In summary, the graduate student is performing a study on a new antidepressant and formulates non-directional hypothesis. A two-tailed t-test can determine if the drug has a significant effect on reducing depression. The required assumptions for the t-test include independence and random sampling, normal distribution within each group, and approximately equal variances between the groups.

t-test: https://brainly.com/question/6501190

#SPJ11

12 pieces can the sausage be cut if each piece is to be two-thirds of an inch.

Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.

8 inches long. into how many pieces can the sausage be cut if each piece is to be two-thirds of an inch.

Divide 8 by 2/3

8÷ 2/3

8× 3/2

12

12 pieces can the sausage be cut if each piece is to be two-thirds of an inch.

To learn more about division, visit:

https://brainly.com/question/13263114

#SPJ4

Limit definition states that for any positive value of `ε`, we can always locate a natural number `N` such that the terms of the sequence beyond that point are within `ε` of the limit value. The closer `ε` is to zero, the closer the terms of the sequence will be to `a*`.

We can conclude that if a sequence `a1, a2, a3, ...` converges to a limit `a*`, then the limit definition of convergence states that for every positive number `ε`, there exists a natural number `N` such that for all `n > N`, the absolute difference between `an` and `a*` is less than `ε`.

The limit definition of convergence of a sequence `a1, a2, a3, ...` to a limit `a*` is as follows: For every positive number `ε`, there exists a natural number `N` such that for all `n > N`, the absolute difference between `an` and `a*` is less than `ε`. In other words, the terms of the sequence get arbitrarily close to the limit `a*` as `n` gets larger and larger.Let's break down the definition into smaller parts

For every positive number `ε`, there exists a natural number `N` such that `|an - a*| < ε` for all `n > N`. The absolute value of `an - a*` ensures that the distance between `an` and `a*` is always positive. Since `ε` is also positive, `|an - a*| < ε` guarantees that `an` is arbitrarily close to `a*`.

.

Know more about Limit here:

https://brainly.com/question/12207539

#SPJ11

Correct question is "Suppose a sequence : a 1 ,a 2 ,a 3 ,… converges to a∗. If that is true then Write the limit definition of convergence. "

To provide a solution for this problem, we can factor the polynomial or find its roots using the rational root theorem.

One possible factorization of the polynomial is:

3x^3 + 13x^2 + 18x - 12 = (x+1)(3x^2 + 10x - 12)

To obtain this factorization, we can start by trying factors of the constant term -12 that might work as roots of the polynomial.

One such factor is -1, so we can use synthetic division or long division to divide the polynomial by x+1. This gives us a quotient of 3x^2 + 10x - 12, which can be factored using the quadratic formula or other methods.

The roots of the polynomial can be found by setting each factor equal to zero and solving for x. This gives us:

x+1 = 0 or 3x^2 + 10x - 12 = 0

The first equation has a single root of x = -1. The second equation can be solved using the quadratic formula or factoring, giving us two more roots:

x = (-10 ± sqrt(100 + 4312)) / (2*3) = (-10 ± 2sqrt(19)) / 3

Therefore, the roots of the polynomial are -1, (-10 + 2sqrt(19))/3, and (-10 - 2sqrt(19))/3.

To learn more about polynomial click here:

brainly.com/question/16979098

#SPJ11

The coordinates of the point at 3/4 of the distance from A to B from A is (-3.5, 1.25)

The coordinates of point A = (-5, -4),

The coordinates of the point B = (-3, 3)

Let the point at the distance 3/4 from A to B = P

The coordinates of point 3/4 from A to B = P

At the x-coordinate, the distance from B to A is =  -3-(-5) = 2 units.

At the y-coordinate, the distance from B to A is = 3-(-4) = 7 units.

Hence, the coordinates of P = (-5 + (3/4×(x-coordinate), -4 + 3/4×(y-coordinate)

                                            P = (-5 + (3/4×(2), -4 + 3/4×(7))

                                            P = (-3.5, 1.25)

Hence, the coordinates of the point at 3/4 of the distance from A to B from A is (-3.5, 1.25).

Read more about the section formula :

brainly.com/question/14812336

#SPJ4

The complete question is -

What are the coordinates of the point 3/4 of the way from A to B?

Answer:

Congress. would equal 80 due to x being worth 1/4 of y's total.

The radius of the spherical part is 3 inches and the length of the tube is 21 cm.

The capacity of a cylinder, which determines how much material it can hold, is determined by the cylinder's volume. There is a formula for the volume of a cylinder that is used in geometry to determine how much of any quantity, whether liquid or solid, can be immersed in it uniformly.

Given that the volume when the water is fully dipped is 4554 / 7 cm³. The volume when the length is 9 cm empty is 396 cm³.

The two equations can be formed as below:-

4554 / 7 = πr²l + (2/3)πr³

396 = πr²( l - 9 ) + (2/3)πr³

Subtract the second equation from the first,

( 4554 / 7 ) - 396 = 9πr²

9πr² = 254.5

r² = 9

r = 3 cm

The length will be calculated as:-

4554 / 7 = πr²l + (2/3)πr³

4554 / 7 = π( 3 )²l + (2/3)π(3)³

l = 21 cm

Therefore, the tube's length is 21 cm, and the spherical part's radius is 3 inches.

To know more about volume follow

https://brainly.com/question/22716418

#SPJ1

the height is 3.5m nearest tenth of a meter, corresponding to the 3.4-m base.

We know that the area of a parallelogram is given by A = base x height. Since the given parallelogram has two bases with different lengths, we will need to find the length of the other height to be able to calculate the area of the parallelogram.

Using the given measurements, let's call the 17.3m base as "b1" and its corresponding height as "h1", and call the 43.4m base as "b2" and its corresponding height as "h2".

From the given problem, we are given:

b1 = 17.3mh1 = 8.7m andb2 = 43.4m

Now, let's solve for h2:

Since the area of the parallelogram is the same regardless of which base we use, we can say that

A = b1*h1 = b2*h2  Substituting the given values, we have:

17.3m x 8.7m = 43.4m x h2  

Simplifying: 150.51 sq m = 43.4m x h2h2 = 150.51 sq m / 43.4mh2 = 3.46636...

The height corresponding to the 43.4m base is 3.5m (rounded to the nearest tenth of a meter).Therefore, the height corresponding to the 43.4-m base is 3.5 meters.

Here, we are given that the parallelogram has sides of 17.3m and 43.4m, and its corresponding height is 8.7m. We are asked to find the length of the height corresponding to the 43.4m base.

Since the area of a parallelogram is given by A = base x height, we can use this formula to solve for the length of the other height of the parallelogram. We can call the 17.3m base as "b1" and its corresponding height as "h1", and call the 43.4m base as "b2" and its corresponding height as "h2".

Using the formula A = b1*h1 = b2*h2, we can find h2 by substituting the values we have been given.

Solving for h2, we get 3.46636.

Rounding to the nearest tenth of a meter, we get that the length of the height corresponding to the 43.4m base is 3.5m. Therefore, the answer is 3.5m.

To know more about parallelogram visit:

brainly.com/question/28854514

#SPJ11

Answer:

Positive.

Hope that this helps!

Answer:

2/5

Step-by-step explanation:

You see he had 7/5 wich equals 1 2/5 who used 2/5 so subtract 2 and you have 1 whole left.

Answer:

Dimensions are 20 + 20 + 40 + 40

Step-by-step explanation:

The solutions to the equation are x = -1, x = -8, and x = 1/2.

The equation 4x³ + 32x² + 42x - 16 = 0 can be divided throuh by 2 as follows:

2x³ + 16x² + 21x - 8 = 0

We can test each of these possible roots by substituting them into the equation and seeing if we get 0. When we substitute -1, we get 0, so -1 is a root of the equation. We can then factor out (x + 1) from the equation to get:

(x + 1)(2x² + 15x - 8) = 0

We can then factor the quadratic 2x² + 15x - 8 by grouping to get:

(x + 8)(2x - 1) = 0

This gives us two more roots, x = -8 and x = 1/2.

Therefore, the solutions to the equation are x = -1, x = -8, and x = 1/2.

Learn more about equations on

https://brainly.com/question/2972832

#SPJ1

Answer:

Given a function f , the set x values (inputs) is the domain of f , and the set y values ( outputs ) is the range of f . The domain of a function f is all of the values for which the function is defined. For instance, 1x is not defined when x=0 . Also, √x is not defined when x is negative.

Step-by-step explanation:

Answer:

option A.

Step-by-step explanation:

if the blue dots represent the function it's domain will be the values of x for which a blue dot is raised.

The "points" have coordinates:

Now, the abscissa, I.e., the x coordinate of a point represents its domain, while the ordinate, I. e., the y coordinate represents its range.

Therefore,

Domain:

{0, -6, 2, 4, 7}

Range:

{4, 1, -5, 3}

That is, option A!

Answer:

its A. B. C. D. E.

Step-by-step explanation:

all of it are correct

Answer:

x^3 + 3 (the third option)

Step-by-step explanation:

In this question, we are asked to find the missing value inside the parenthesis.

x^8 +3x^5 = x^5(____)

We see that x^5 is factored out of the original expression, so we can obtain the answer by dividing both terms by x^5.

x^8 / x^5 = x^3

3x^5/ x^5 = 3

So we have: x^3 + 3.

Let me know if this helps!

Answer:

1. \(r^5\)

2. \(st^2\)

3. \(qr\)

4. \(1\)

5. \(m\)

6. \(x\)

7. \(\frac{1}{z}\)

8. \(a\)

9. \(d^4f^2\)

10. \(1\)

11. \(cd^2\)

12. \(b\)

13. \(1\)

14. \(st^2\)

15. \(\frac{1}{mn}\)

Step-by-Step Explanation:

Subtract the exponents

Hope this helps :)

P.S Please mark Brainliest if this answer helped you :)

Answer:

Your answer is -8!

Step-by-step explanation:

I used a calculator but at least you know it's correct! Your welcome! =D

Answer:

Ans= -8

Step-by-step explanation:

It is - 8

........

Answer:

75÷50

Step-by-step explanation:

1.5 or 3÷2 is the correct answer

Answer:

---------------------------

Convert the statement into equation, considering the number as x, and solve:

Correct choice is B.

Answer:

x³-25x²+3x-12

___________

x

The  y --> ∞ (larger value) or y --> -∞ (smaller value) as x approaches 7 from the positive side.

When a rational function has a vertical asymptote at x = 7, it means that the function approaches either positive infinity (∞) or negative infinity (-∞) as x gets closer and closer to 7 from the positive side.

To determine whether the function approaches a larger or smaller value, we need to consider the behavior of the function on either side of the asymptote.

As x approaches 7 from the positive side (x --> 7+), if the function values increase without bound (go towards positive infinity), then y --> ∞ (larger value). On the other hand, if the function values decrease without bound (go towards negative infinity), then y --> -∞ (smaller value).

Therefore, as x approaches 7 from the positive side, the function y = r(x) either goes towards positive infinity (larger value) or negative infinity (smaller value).

You can learn more about rational function at

https://brainly.com/question/19044037

#SPJ11

We should use minimum of 8 classes.

To calculate the minimum number of classes, we will use the rule of thumb given by Sturges, which states that the number of classes in a histogram should be selected using the following formula:

\(\[\large k=1+\log _{2}n\]\)

Where k represents the number of classes and n is the total number of observations.

Using this formula, we can calculate the minimum number of classes as follows:

\(\[\large k=1+\log _{2}n\]\)

Substituting the values given in the problem statement, we get:

\(\[\large k=1+\log _{2}(69)\]\)

Using logarithm rules, we can simplify this expression as:

\(\[\large k=1+\frac{\ln 69}{\ln 2}\]\)

Evaluating this expression using a calculator, we get:

\(\[\large k\approx 7.8\]\)

Since the number of classes must be a whole number, we should round up to the next integer to get the minimum number of classes.  

To know more about rule of thumb given by Sturges visit:

https://brainly.com/question/28182133

#SPJ11

No,  5/8 cannot make the equation \(\frac{8}{15}-x=\frac{3}{7}\) to be true

The given fractional equation is:

\(\frac{8}{15}-x=\frac{3}{7}\)

To calculate the fraction that will make the equation \(\frac{8}{15}-x=\frac{3}{7}\), solve for x in the given equation:

\(\frac{8}{15}-x=\frac{3}{7}\)

Collect like terms

\(x=\frac{8}{15}-\frac{3}{7}\)

Simplify the resulting fraction as follows:

\(x=\frac{56-45}{105} \\\\x=\frac{11}{105}\)

Therefore, the missing fraction that will make the equation \(\frac{8}{15}-x=\frac{3}{7}\) true is 11/05

We can conclude that 5/8 cannot make the equation \(\frac{8}{15}-x=\frac{3}{7}\) to be true

Learn more here on fractional equations here: https://brainly.com/question/3382177

Since \(\frac{5}{8} \neq\frac{11}{105}\), hence \(\frac{5}{8}\) will not make the equation true.

Given the equation

a is the fraction that will make the equation to be equal

Subtract \(\frac{8}{15}\) from both sides;

\(\frac{8}{15}-a-\frac{8}{15} =\frac{3}{7}-\frac{8}{15}\\-a= \frac{3}{7}-\frac{8}{15}\\-a=\frac{3(15)-7(8)}{105} \\-a=\frac{45-56}{105}\\-a=\frac{-11}{105}\)

Multiply both sides by a negative sign to have:

\(-(-a)=-(-\frac{11}{105} )\\a=\frac{11}{105}\)

Since \(\frac{5}{8} \neq\frac{11}{105}\), hence \(\frac{5}{8}\) will not make the equation true.

Learn more on equation here: https://brainly.com/question/2972832

The probability that x is less than 6 is 5/8.

If x is a discrete uniform random variable ranging from one to eight, then each value from one to eight is equally likely to occur, and the probability of any particular value is 1/8.

To find p(x < 6), we need to add up the probabilities of all the values of x that are less than 6:

p(x < 6) = p(x = 1) + p(x = 2) + p(x = 3) + p(x = 4) + p(x = 5)

Since x is a discrete uniform random variable, the probability of each of these values is 1/8, so we can substitute that into the equation:

p(x < 6) = (1/8) + (1/8) + (1/8) + (1/8) + (1/8)

Simplifying, we get:

p(x < 6) = 5/8

Therefore, the probability that x is less than 6 is 5/8.

To know more about probability , refer here:

https://brainly.com/question/32004014#

#SPJ11

The plane is travelling at a speed of 424.26 mph.

Velocity of an object is the speed of the object with a given direction. Therefore velocity is a vector quantity and speed is a scalar quantity.

Given that,

A plane is traveling Northeast.

If the plane is travelling northeast, then the angle that the plane makes with the horizontal component will be 45°.

The eastern component of it's velocity is 300 mph.

Vector v can be represented as v cos (θ) i + v sin(θ) j.

Here v cos (θ) is the eastern component and v sin(θ) is the northern component.

v cos (θ) = 300

v cos(45°) = 300

v = 300 / cos(45°)

  = 300 / (1/√2)

  = 424.26 mph

Hence the speed of the plane is 424.26 mph.

Learn more about Velocity here :

https://brainly.com/question/14478315

#SPJ1

Answer:  \(2x^{2}-(3+g)y^{2}-11x\)

Step-by-step explanation:

You add each coeficient with the same type of incognita:

\(x^{2} +x^{2} =2x^{2}\)

\(-3y^{2} -gy^{2} = -(3+g)y^{2}\)

\(-7x-4x=-11x\)