The distance that students drive to school is best modeled with a skewed right distribution that has a mean of 10 miles and a standard deviation of 2 miles. Suppose a sample of 100 students has been taken and the sample mean distance for the sample is calculated. Describe the shape of the sampling distribution of the sample mean

Answer:

Step-by-step explanation:

f(0) = [tex]0^{3} +1=1[/tex]

f(-2)= [tex](-2)^{3} +1=-7[/tex]

f(x+1) = [tex](x+1)^{3} +1=x^{3} +3x^{2} +3x+2[/tex]

9514 1404 393

Answer:

  5

Step-by-step explanation:

Use the distance formula.

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((4 -0)²+(3 -0)²) = √(4² +3²) = √(16 +9) = √25

  d = 5

The distance between the two points is 5 units.

_____

Additional comment

The most commonly seen Pythagorean triples are (3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) and their multiples.

In problem 4, once you see that the differences of the coordinates are 3 and 4, you can consult your memory of the (3, 4, 5) Pythagorean triple to recognize the hypotenuse length of a triangle with sides 3 and 4 is 5.

Similarly, in problem 5, you recognize the coordinate differences as 5 and 12, so you know from the (5, 12, 13) Pythagorean triple that the distance will be 13.

9514 1404 393

Answer:

  y +3 = 1/5x

Step-by-step explanation:

The point-slope form of the equation of a line with slope m through point (h, k) is ...

  y -k = m(x -h)

You have y-intercept point (0, -3) and slope -1/5, so the equation is ...

  y -(-3) = -1/5(x -0)

  y +3 = -1/5x

Answer:

The time taken by the four workers to paint the room is 1.5 hours.

Step-by-step explanation:

3 workers can paint a room in 2 hours

So, 1 worker can paint the same room in 6 hours.

Now the number of workers is 4.

So, the time in which the 4 workers can paint the same room is

= 6/4 = 1.5 hours

Answer:

V =  π /2   volume units

Step-by-step explanation:

Volume of    y = √x   bounded by  y = x   and y = 1

y = √x

limits of integration   ( see Annex )

By simple inspection limits of integration are   x = 0    to  x = 1

or  y = √x     and    y = x

solving these two equations

x = 0    y = 0       x = 1      y = ± 1

V = ∫ π*f(x)²*dx    

V  =  π * ∫₀¹ x*dx   =    π * x²/2 |₀¹

V =   π * (1/2) - 0

V =  π /2   volume units

Answer:

D

Step-by-step explanation:

one yard is 3 feet

100x3=300

Answer:

f(-3.2) = - 7.2

Step-by-step explanation:

f(x) = [x] - 4

f(-3.2) will be ;

Here, we put - 3.2 in place of x as the question is interpreted as the value of f(x) when x = - 3.2

Therefore, we have ;

f(-3.2) = - 3.2 - 4

f(-3.2) = - 7.2

Answer:

A.) y = -7/4x - 7

Step-by-step explanation:

The line's slope is -7/4 and its y-intercept is located at the point (0, -7).

Answer:

52%

Step-by-step explanation:

There is a total of 25 marbles in the bag. 13 of them consist of red and blue marbles.

13 / 25 = 0.52 or 52%

Answer:

-8

Step-by-step explanation:

g(4)=8

8÷4=2

g=2

g(-4)=2(-4)

=(-8)

holp it can help you.

Answer:

20

Step-by-step explanation:

In a parallelogram diagonals bisect each other.

[tex] \therefore \: 6x - 57 = 3x + 3 \\ \\ \therefore \: 6x - 3x = 57 + 3 \\ \\ \therefore \: 3x = 60 \\ \\ \therefore \: x = \frac{60}{30} \\ \\ \therefore \: x = 20[/tex]

Answer:

Option 2

Step-by-step explanation:

Since both triangles are similar, that means that the larger triangle's sides are greater than the smaller triangle's sides by a factor. We can see that 10 corresponds to x, so in the proportion 10 and x must be on the same side. That rules out option one and three. Now, we see that 7 corresponds to 14 and 6 corresponds with 12, so the other side must have 6 and 12 on the same side or 7 and 14 on the same side. We see that the only option that satisfies this criteria is Option 2.

Answer:

Option 2 - [tex]\frac{10}{x} =\frac{7}{14}[/tex]

Step-by-step explanation:

So, lets just look at the two traingles, find the difference, then see if the graphs will give us the same difference.

So lets see.

One side of triangle ABC is 6. The same side of triangle DEF is 12.

Another side of triangle ABC is 7. THe same side of trinalge DEF is 14.

The final side of trinalge ABC is 10. The same side of triangle DEF is x.

We only need to compare a single side of these to find the difference:

12/6=2

14/7=2

This is very simple.

However, lets shift this into what they wrote.

So we know that the difference between each side is 2.

ALL sides are like this.

We know that both 12/6 and 14/7 equal the same thing, so tecnically, they are equal:

12/6=14/7

This is the same with 10/x as well.

So:

10/x=14/7

10/x=12/6

So we know that the difference from ABC to DEF is 2. But the difference from DEF to ABC is the opposite, 1/2.

Knowing this:

x/10=6/12 is the same thing as 10/x=12/6. And x/10=7/14 is the same thing as 10/x=14/7

So our answers can also be:

x/10=7/14

x/10=6/12

This looks like option 2.

Hope this helps!

Answer:

4

Step-by-step explanation:

the sum of the first two numbers is 7*2=14 and the sum of the three numbers is 6*3=18 then you subtract the answers giving you 4

Answer:

248.96

Step-by-step explanation:

From this regression output we have the MS Residual or mean squared error to be equal to 61983.1

the question requires us to find the standard error of the estimate. The standard error of the estimate can be gotten by finding the square root of the MSE.

[tex]\sqrt{61983.1}[/tex]

= 248.96

the standard error of the estimate = 248.96

thank you!

Answer:

the answer would be -13n-23

Step-by-step explanation:

first you want to distribute the brackets

-7(2+n) = -14-7n

+(-9-6n)

-9-6n

-14-7n-9-6n

combine the n value with an n value and an integer that doesn't have an n value

-7n-6n-14-9

= -13n-23

1+1+1+1+1++1+1++1+1+1+1+1+1+1

Answer:

(x, y) = (-2,-5)

Step-by-step explanation:

Multiply the first equation by 3,and multiply the second equation by 1.

3(3x+y=−11)

1(4x−3y=7)

Becomes:

9x+3y=−33

4x−3y=7

Add these equations to eliminate y:

13x=−26

Then solve13x=−26for x:

13x=−26

13x

13

=

−26

13

(Divide both sides by 13)

x=−2

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

3x+y=−11

Substitute−2forxin3x+y=−11:

(3)(−2)+y=−11

y−6=−11(Simplify both sides of the equation)

y−6+6=−11+6(Add 6 to both sides)

y=−5

Answer:

x=−2 and y=−5

Answer:

Not independent

Explanation:

Two events are not independent/dependent if the result of one event affects the outcome of the other. In the case above, numbers are picked without replacement, therefore if one slip is picked then the other slip will be picked(slips are picked only once not twice or more as in independent events). Events would be independent if there was a replacement.

Answer:

(5,20)

Step-by-step explanation:

x+y=25

If you substitute y=4x,

x+4x=25

Now add like terms

5x=25

Divide 5

x=5

Put it back into the equation

5+y=25

Subtract 5

y=20

Answer: (5,20)

I really don't know but I guess 59

Answer:

The + 78 :-  it should be + 60.

Step-by-step explanation:

Long division:-

x - 3 )4x^4 - 6x^3 + 0x^2 + 6x + 3 ( 4x^3 + 6x^2 + 18x + 60 <--- Quotient.

         4x^4 - 12x^3

                      6x^3 + 0x^2

                       6x^2 - 18x^2

                                   18x^2 + 6x

                                    18x^2 - 54x

                                                 60x + 3

                                                  60x - 180

                                                              183

Answer:

20%

Step-by-step explanation:

Given that

The car is depreciated at a rate of 7% per year

We need to find out the percentage when the car is depreciated after 6 years

So,

Since the car is depreciated by 7% so we can say it can be 0.93 times in a year

Now after 6 years, it would make

= 0.93^3

= 0.80

So, the percentage is

= 1 - 0.80

= 0.20

= 20%

Answer:

To find your distance apart, you can convert 15 minutes to seconds because that is what the rate is given in.

15 mins x 60 seconds = 900 seconds.

Step-by-step explanation:

In 900 seconds, there are 900/8=112.5 groups of 8 seconds. This means there are 112.5 groups of 108 feet.

112.5 x 108 = 12150 feet

12150 feet/5280 feet is approximately 2.3 miles.

For your friend you take 900/6 = 150 groups of 6 seconds.

150 x 63 = 9540 feet

9540 feet/5280 feet = 1.79 miles

1.79 miles + 2.3 miles = 2.09 miles

You and your friend are about 2.09 miles apart after 15 minutes.

B). If you go 2.3 miles every 15 minutes, that means you travel about 0.77 miles every 5 minutes. If you travel 20 more minutes (40-15-5) that would be 0.77x 4=3.07 miles more

3.07 + 2.3 = 5.37 miles after 40 minutes (you).

Your friend travels 1.79 in 15 minutes, so 1.79/3 = 0.6 miles every 5 minutes

0.6 x 5 (5 x 5 = 25 minutes)= 3 miles

1.79 + 3 miles= 4.79 miles (friend)

4.79 + 5.37 = 10.16 miles

You and your friend are about 10.16 miles apart after 40 minutes.

Step-by-step explanation:

everything can be found in the picture

Answer:

They both meet after 27 s.

Step-by-step explanation:

Length of track = 400 m

speed of man, v = 8 m/s

speed of woman, v' = 5 m/s

Woman is 50 m ahead of man.

Let the time taken to meet is t.

Let the man covered a distance d in time t o the woman covered a distance 400 - 50- d.

[tex]\frac{d}{8}=\frac{400-50-d}{5}\\\\5 d = 8 (350-d)\\\\13 d = 2800\\\\d = 215.4 m[/tex]

The time taken is

[tex]t=\frac{215.4}8}\\\\\\t=27 s[/tex]

Answer:

Not sure what you mean here, is this a table? If so, you need to provide the y value or a screenshot!

Answer:

24.6° (nearest tenth) .

Answer:

d

Step-by-step explanation:

Answer:

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Step-by-step explanation:

Answer:

Circle basic concepts: Chords, arcs, tangents, cyclic quadrilateral, angle subtended by a chord and secant of a circle with examples and exercise. Contents are, Definition of a circle.