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3 years ago

Kasey asked 6 of her friends how many episodes of their favorite show they

Mathematics

1 answer:

ivanzaharov [21]3 years ago

3 0

Answer:

Step-by-step explanation:

6 friends

Mean - 10

Median - 9.5

Range - 14

3 friends watched 12, 13, and 18 movies.

Let's find the sum, this will help us find the total number of movies the other 3 friends watched.

12 + 13 + 18 = 43

The mean is all their movies added toether, divided by the number of friends.

m = number of movies the other friends watched.

(43 + m) / 6 = 10 Multiply each side by 6

43 + m = 10 * 6

43 + m = 60 Subtract 43 from each side

m = 60 - 43

m = 17

So we know the total movies the other friends watched is 3.

A. 4+6+7 = 17

B. 4+4+7 = 15

C. 5+8+9 = 22

D. 2+3+5 = 10

We know the answer is A.

We can check it by looking at the Median, the median is the middle number, if there are an even number of samples, you add the 2 middle numbers together and divide by 2.

4, 6, 7, 12, 13, 18

So 7+12 = 19

19/2 = 9.5

So we know for sure A is correct!

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How many minutes does the teach

Anastaziya [24]

Assuming that's a 40 minutes a lesson the minutes the tennis teacher teaches in a week is 800 minutes

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3 years ago

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown

kiruha [24]

Answer:

The other endpoint is (-33, 17)

Step-by-step explanation:

The rule of the mid-point of a segment whose endpoints are

( $x_{1}$ , $y_{1}$ ) and ( $x_{2}$ , $y_{2}$ ) is

$(x_{M},y_{M}) = (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

In our question

∵ The coordinates of the endpoints of a segment are (-15, 13) and (x, y)

∴ $x_{1}$ = -15 and $x_{2}$ = x

∴ $y_{1}$ = 13 and $y_{2}$ = y

∵ The coordinates of the mid-point of this segment are (-24, 15)

∴ $x_{M}$ = -24 and $y_{M}$ = 15

→ Use the rule of the mid-point to find x and y

∵ $-24=\frac{-15+x}{2}$

→ Multiply both sides by 2

∴ -48 = -15 + x

→ Add 15 to both sides

∴ -33 = x

∵ $15=\frac{13+y}{2}$

→ Multiply both sides by 2

∴ 30 = 13 + y

→ Subtract 13 from both sides

∴ 17 = y

∴ The other endpoint is (-33, 17)

5 0

4 years ago

Find the equation of a circle with a center at (0, -4) and a point on the circle is (6, 0).

EastWind [94]

Answer:

$x^2 + ( y + 4)^2 = 52$

Step-by-step explanation:

Equation of circle with center (a , b) and radius, r is :

$(x -a)^2 + ( y -b)^2 = r^2$

Given : a = 0 , b = - 4

Step 1 : Find the radius.

Given ( 6 , 0 ) lies on the circle. Therefore the distance between the center (0 , - 4) of the circle and ( 6 , 0 ) gives the radius of the circle.

$r = \sqrt{( 0 - 6)^2 + ( -4 - 0)^2} \\\\$

$= \sqrt{ 36 + 16 } \\\\= \sqrt{52}$

Step 2 : Equation of circle.

$(x - 0)^2 + (y -( - 4))^2 = (\sqrt{52})^2\\\\x^2 + ( y+ 4)^2 = 52$

8 0

3 years ago

True or False. All segments have a perpendicular bisector.

puteri [66]

<span>Without drawing a line on a piece of graph paper. If you know the endpoints of the line segment you can determine the equation of the line and the midpoint of the line. The slope of a perpendicular to a line is the negative reciprocal of the slope of the original line. You can then determine the equation of the perpendicular bisector using the point-slope method. Using a compass and straight edge, you can draw the line. set the compass at the endpoint and wide enough to extend beyond the midpoint. Scribe an arc. Without changing the compass use the other end and scribe another arc so that the two arcs intersect. Connect the two points where the arcs intersect and scribe a line through them. That is the perpendicular bisector.

i found this online ^ hope i helped ^-^</span>

8 0

3 years ago

Read 2 more answers

NEED HELP ASAP WILL GIVE BRAINLIEST

saveliy_v [14]

Answer: x=-2 and y=-2

Step-by-step-explaination:

To solve the system of equations you have to cancel out a variable. I chose to cancel out Y. First, the coefficients of y need to be the same in both equations. To do this multiply to the top equation by 2 so you get

2(2x) +2(y) = 2(-6)

4x + 2y = -12

Next, subtract the second equation from the first to cancel out the y’s

4x + 2y =-12

-(-8x + 2y = -12)

————————

12x = -24

Solve

X = -24/12

X=-2

Plug x into the original equation to find y

2(-2) + y = -6

-4 + y = -6

Y = -6 +4

Y=-2

You can substitute x and y into the original equations to double check

3 0

3 years ago