If the outlier is removed, what is the mean of the data set below

we are given angle as

[tex]\theta=\frac{17\pi}{6}[/tex]

we can write it as

[tex]\theta=\frac{12\pi+5\pi}{6}[/tex]

now, we can break it

[tex]\theta=\frac{12\pi}{6}+\frac{5\pi}{6}[/tex]

On simplifying

[tex]\theta=2\pi +\frac{5\pi}{6}[/tex]

we know all angles repeats itself after 2pi

so,

[tex]2\pi + \theta= \theta[/tex]

so, we get

[tex]\theta=\frac{5\pi}{6}[/tex]...............Answer

Final answer:

To find an angle equivalent to 17pi/6 radians and smaller than 2pi, subtract multiples of 2pi. In this case, subtracting one full circle (2pi) from 17pi/6 yields an equivalent angle of 5pi/6 radians.

Explanation:

To find an angle equivalent to 17pi/6 radians that is smaller than 2pi radians, we can subtract multiples of 2pi until we get an angle that lies between 0 and 2pi. This is because angles that differ by full circles (multiples of 2pi) are equivalent in the circular system.

First, calculate how many full circles 17pi/6 radians contain:
17pi/6 ÷ 2pi = 17/12 ≈ 1.4167

Since 1.4167 is more than 1 but less than 2, we know that 17pi/6 radians contain one full circle plus some additional angle. To find this angle, subtract the full circle from 17pi/6.

17pi/6 - 2pi = 17pi/6 - 12pi/6 = 5pi/6

Thus, 5pi/6 radians is equivalent to 17pi/6 radians but is less than 2pi and thus satisfies the conditions of the problem.

when solving sales tax it's pretty simple because all you do is add everything for a subtotal and multiply your sub total by the tax so i'll use the first as an example your subtotal is 19.96 x0.05 to get 0.99 <-- your sales tax and your final total with tax to be 20.96

Let losses = X

They won 13 more than 3 times as many so wins =  3X +13

Now you have wins  + loses  = total games:

X +3X + 13= 109

Combine like terms:

4x + 13 = 109

Subtract 13 from each side:

4x = 96

Divide each side by 4:

x = 96 / 4

X = 24

Wins = 3X +13

3(24) +13 = 72+13 = 85

Wins = 85 games

Losses = 24 games

Y intercept (0, 2) so b = 2

Slope = (2 - 0) / (0 + 3) = 2/3

Equation y =  mx + b

In this case slope m = 2/3 and y intercept = b = 2

So equation y = 2/3 x + 2

Answer

A.) Y = 2/3 x + 2

To find your pay for a week, multiply the total hours worked (h) by the hourly wage ($10). For example, working 40 hours would yield a total pay of $400. A $2 per hour raise increases your hourly wage to $12 and represents a 20% pay increase.

To calculate your pay if you work h hours in one week at a rate of $10 per hour, you simply multiply the number of hours worked by the hourly wage. This can be expressed in the following formula:

Total pay = Hourly wage  imes Number of hours worked

So, if you work h hours, your total pay will be:

Total pay = $10/hour  imes h hours

This means that if you work 40 hours in a week, for example, your total pay would be:

Total pay = $10/hour  imes 40 hours = $400

If your boss is impressed with your work and gives you a $2 per hour raise, your new hourly wage would be $12 per hour. The percentage change in pay in this case is 20%, calculated by dividing the raise amount by the original wage ($2/$10 = 0.20 or 20%).

30 bass and 5 perch, so then you will bet minimal costs

17.28  dollars is the answer

12.8 * 1.35 =17.28

Therefore Marissa spent $17.28 on potatoes.

5 X 4 = $ 20 $ Your answer is 20.

2(x - 2) = 3(x + 9)

Distributive property.

2x - 4 = 3x + 27

Subtract 2x from both sides.

-4 = x + 27

Subtract 27 from both sides.

-31 = x

These are all division problems.

1)   9 ÷ [tex]\frac{3}{4}[/tex]

= [tex]\frac{9}{1} * \frac{4}{3} = \frac{9(4)}{3}= 3(4) = 12[/tex]

3)   [tex]3\frac{1}{2} = \frac{2(3) + 1}{2} = \frac{7}{2}[/tex]

7 ÷ [tex]\frac{7}{2}[/tex]

= [tex]\frac{7}{1} * \frac{2}{7} = \frac{7(2)}{2}= 7[/tex]

5)   6 ÷ [tex]\frac{1}{8}[/tex]

= [tex]\frac{6}{1} * \frac{8}{1} = 6(8) = 48[/tex]

96 days

12 x 8 = 96

to check I did:

8 x 1 = 8

8 x 2 =16

etc.

I did the same thing with 12,

To find out how many days it will be until Ben and Isabel exercise together again, we need to determine the least common multiple (LCM) of their exercise intervals. The LCM of 12 and 8 is 24.

To find out how many days it will be until Ben and Isabel exercise together again, we need to determine the least common multiple (LCM) of their exercise intervals. Ben exercises every 12 days, while Isabel exercises every 8 days.

To find the LCM of 12 and 8, we can list the multiples of each number and find the smallest number that appears in both lists. The multiples of 12 are 12, 24, 36, 48, 60, 72, and so on. The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, and so on. The smallest number that appears in both lists is 24.

Therefore, Ben and Isabel will exercise together again in 24 days.

https://brainly.com/question/30060162

#SPJ3

Ask google for help on that.

I think the answer is 40.  

Sal is 10 years old. If you want to check you can do 10*4+5 and get 45

Estimation is useful in calculating the total cost of items in a grocery store basket.

An example of a real-life multiplication situation where estimation makes sense is calculating the total cost of items in a grocery store basket. Let's say you have a basket with 3 apples that cost $1.50 each and 2 yogurts that cost $2.75 each. To estimate the total cost, you can round the prices to the nearest dollar and multiply: 3 x $2 + 2 x $3 = $6 + $6 = $12. This estimation gives you a rough idea of the total cost without needing to calculate exact values.

The answer would be 0.335 because thousandths is the third decimal from zero

Answer:

12a+2b

Step-by-step explanation:

a) Assuming the problem statement means the edge length of the cubical case is 3w, three times the width of the artifact, the volume of the case is ...

V = s³ . . . . . . volume of a cube with edge length s

V = (3w)³

b) The expression can be simplified by applying the rules of exponents, distributing the exponent to the contents of parentheses.

V = 3³w³

V = 27w³

1. Speed = 3.33333 Meters per second, 400/120=3.33333, average speed = total distance/elapsed time

2. Velocity = 3.33333 Meters, 400/120, V = distance / time

3. Acceleration = -0.222222[tex]m/s^2[/tex], acceleration = (velocity2 - velocity1) / time

acceleration = net_force / mass

Answer:

2 A. 400÷120=3.33

2 B. d/t=v

400/120=3.33 N E

3.

3.3m/s/15s=0.22m/s^2

downhill= negative slope=negative acceleration(slowing down)

Answer:

y=x^2+6

you need to add in the exponent

Answer : The expression for the given statement is [tex]a-25[/tex]

Step-by-step explanation :

We are given a statement :

"your aunt's age a minus 25"

Let the age of aunt be considered as 'a'

From the given statement, we conclude that

'Minus' in the above statement means subtract (-) operation.

Thus, the expression for the given statement is [tex]a-25[/tex]

Solution

Number of weeks in a year = 52 weeks

If in a normal year when each package of flea treatment lasts for 4 weeks, then in a year there Jim's dog will have to be treated for

[tex]\frac{52}{4} =13 times[/tex]

Where as, when the fleas are bad in a year, the treatment lasts for only 3 weeks.

Then in a year Jim's dog would get

[tex]\frac{52}{3} =17 times[/tex]

So Jim's dog will get 17- 13 =4 treatments more.

4 treatments that are made in 3 weeks each will be 4×3 =12 weeks more treatment

The Number treatments is the ratio of the number of weeks in a year and the number weeks per treatment. Hence, Jim's dog would get 4 more treatments due to the bad weather.

Number of weeks in a year = 52

The number of flea treatment he'll get in a year can be calculated thus :

Normal weather = 52 / 3 = 17. 333 = 17 treatments

Bad weather = 52 / 4 = 13 treatments

Difference in treatment = 17 - 13 = 4

Therefore, as a result of the bad weather, Jim's dog would get 4 more treatments than during normal weather.

Learn more :https://brainly.com/question/18796573

To solve the equation 12(m + 3x) = 18(x - 3m), we can start by distributing the coefficients and collecting like terms. Finally, m = -3x/11.

The given equation is 12(m + 3x) = 18(x - 3m).

Therefore, the solution to the equation is m = -3x/11.

https://brainly.com/question/18262581

#SPJ11

The slope of this line is -3/4

In order to find this, we look for two points on the line and then use the slope formula. Two points that are on the line are (0, 2) and (4, -1). Plug these into the following formula.

m (slope) = (y2 - y1)/(x2 - x1)

m = (-1 - 2)/(4 - 0)

m = -3/4

the answer is -1 hope this helps

The slope of this line is -1

It appears as though you're to figure out the quotient some way (as by using a calculator), then verify that the product of quotient and divisor gives the dividend.

2. 96 ÷ 6 = 16

... (6×10) + (6×6) = 96

... 6 × 16 = 96

4. 84 ÷ 6 = 14

... (6×10) + (6×4) = 84

... 6 × 14 = 84

6. 104 ÷ 4 = 26

... (4×20) + (4×6) = 104

... 4 × 26 = 104

8. 102 ÷ 6 = 17

... (6×10) + (6×7) = 102

... 6 × 17 = 102

10. 64 ÷ 4 = 16 . . . . Ken will make 16 gift bags, each containing 4 pens.

[tex]-\frac{1}{3}x[/tex] + y = -1   ⇒   y = [tex]\frac{1}{3}x[/tex] - 1

To graph this line, plot a point at the y-intercept (0, -1), than plot the next point using the rise over run from the slope [tex](\frac{1}{3})[/tex] by counting up 1 and to the right 3 of the y-intercept.  This gives you a second point of (3. 0).  Draw a line through those two coordinates.

Answer: Plot (0, -1) and (3, 0) and draw a line through them.

***************************************************************************************

y = 4 +  [tex]\frac{1}{3}x[/tex]    ⇒   y =  [tex]\frac{1}{3}x[/tex]  + 4

Same as above.  Plot the y-intercept (0, 4) and then use rise over run from the slope to plot (3, 5).

Answer: Plot (0, 4) and (3, 5) and draw a line through them.

***********************************************************************************

You should end up with two PARALLEL lines.  Since the lines never intersect, there are no solutions to this system of equations.

Answer: No Solution