Which value will change most when
13 is added to the data set?
0, 6, 4, 5, 3, 3, 2
A mean
B median
C mode
D outlier

Answer:

J (3; 9)

Step-by-step explanation:

Imagine each distance like a triangle and use Pythagorean theorem.

To illustrate I drew triangle ΔLON in the picture

Finding the distance between LN.

LO = [tex]y_{L} - y_{O}[/tex] = 5 - 1 = 4

NO = [tex]x_{N} - x_{O}[/tex] = 5 - 4 = 1

According to Pythagorean theorem

[tex]LN^{2} = LO^{2} + NO^{2}[/tex]

[tex]LN^{2}[/tex] = [tex]4^{2} + 1^{2}[/tex] = 17

LN  = [tex]\sqrt{17}[/tex] (LN > 0)

Since ΔMLN ≅ ΔKLJ, JL = LN (they are clearly equal triangles)

Mark J coordinates as (x; y)

Draw another triangle JOL, ∠JOL = 90°)

OJ is parallel with x axis and OL is parallel with y axis.  O coordinates then are (4; y)

OL  = y - 5

OJ = 4 - x

Note that ΔLON = ΔJOL, so OL is the same as LO and therefore

OL = LO = y - 5 = 4;

y = 9

OJ = NO = 4 - x = 1

x = 3

So the coordinates of J are (3; 9)

Similarly find the coordinates of K

Answer:

230°

Step-by-step explanation:

Answer: 40

Step-by-step explanation:

Corresponding Angles Theorem

Answer:

C.6 squared

Step-by-step explanation:

Answer:

Length = 6 inches

Answer:

x<-6

Step-by-step explanation:

-3x>18

Divide by -3, flip the sign since dividing by a negative.

x<-6

Answer:

x < -6

Step-by-step explanation:

Answer:

12 - h

Step-by-step explanation:

The value of x is 3.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

As, we know that The median (also called a midline or midsegment) is a line segment half-way between the two bases.

median = (a+ b ) / 2

So, 12.5 = (3x+1 + 15) / 2

12.5 = 3x + 16 / 2

25 = 3x + 16

3x = 9

x= 3

Hence, the value of x is 3.

Learn more about Equation here:

https://brainly.com/question/29657992

#SPJ2

Answer:

Joel need to practice this week = [tex]\frac{3}{4}[/tex] hour

Step-by-step explanation:

P.S - the exact question is -

As given

Total practice goal of Joel = [tex]4\frac{1}{2}[/tex] hours

He practiced on : Monday - [tex]1\frac{1}{2}[/tex] hours

                             Wednesday - [tex]1\frac{1}{4}[/tex] hours

                             Thursday - 1 hour

Let the remaining practice = x hours

⇒ Total practice =  [tex]4\frac{1}{2}[/tex] hours

⇒[tex]1\frac{1}{2}[/tex] + [tex]1\frac{1}{4}[/tex] + 1 + x = [tex]4\frac{1}{2}[/tex]

⇒ 1 + [tex]\frac{1}{2} + 1 + \frac{1}{4} + 1 + x = 4 + \frac{1}{2}[/tex]

⇒3 + x - 4 = [tex]\frac{1}{2} - \frac{1}{2} - \frac{1}{4}[/tex]

⇒x - 1 = [tex]-\frac{1}{4}[/tex]

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

⇒x = [tex]\frac{3}{4}[/tex] hour

∴ we get

Joel need to practice this week = [tex]\frac{3}{4}[/tex] hour

Answer:

$8

Step-by-step explanation:

5 increase 60% =

5 × (1 + 60%) = 5 × (1 + 0.6) = 8

Answer:

a=542

Step-by-step explanation:

you welcome have a good day

Answer:

the answer will be a=524

Step-by-step explanation:

Answer:1.8 hours

Step-by-step explanation:

just devide and stuff

Answer:

BC=23

Step-by-step explanation:

Use sine rule:

x/sinX=y/sinY

BC/sinA=AB/sinC

BC/sin61=9/sin20

BC=26.3142396015*sin61

BC=23.0149525338

Answer:

It's the third one!!

Step-by-step explanation:

grs

Answer:

-7 — -4=-3

so the common diff.

-3.

Step-by-step explanation:

hopr helps

Answer:

0.083

Step-by-step explanation:

Answer:

3 is it

Step-by-step explanation:

Answer:

_2y6x

Step-by-step explanation:

this is the answer

I hope it will helps you

Answer:

Each burrito meal cost 8$

Each taco meal cost 6$

Step-by-step explanation:

Johnsons= 3b +4t =48

Sloans= 6b+2t=60

multiple johnsons by -2

so, now the johnsons are -6b+-8t=-96

add that to the sloans so, -6b+6b-8t+2t=-96+60

the b's cancel eachother out, so you are left with -6t= -36

divide each side by -6 and you will get t=6

then you can pick either formula, lets say sloans this time

so, 6b + 2(6)=60 so, 6b+12=60, subtract 12 from each side, to get 48

so 6b=48, divde each side by 6 and you will get b=8

Step-by-step explanation:

Answer:

Tacos-6

Burritos-8

Step-by-step explanation:

Multiply the first equation by -2,and multiply the second equation by 1.

−2(3b+4t=48)

1(6b+2t=60)

Becomes:

−6b−8t=−96

6b+2t=60

Add these equations to eliminate b:

−6t=−36

Then solve−6t=−36for t:

−6t=−36

−6t

−6

=

−36

−6

(Divide both sides by -6)

t=6

Now that we've found t let's plug it back in to solve for b.

Write down an original equation:

3b+4t=48

Substitute6fortin3b+4t=48:

3b+(4)(6)=48

3b+24=48(Simplify both sides of the equation)

3b+24+−24=48+−24(Add -24 to both sides)

3b=24

3b

3

=

24

3

(Divide both sides by 3)

b=8

Answer:

b=8 and t=6

Answer:

$39

Step-by-step explanation:

19+20=39

because the $20 is additional while $19 is the original, therefore you add the two digits together to get $39

Answer:

$380.00

Step-by-step explanation:

20% of $19.00

19.00 x 20

= $380.00

Answer:

Cost of hiring a car = £63,815

Step-by-step explanation:

Cost of hiring a car = 150 + 85p

When Reuben hires the car, its mileage is 27612 miles. When Reuben returns the car, its mileage is 28361 miles.

Number of miles Reuben travelled = 28,361 miles - 27,612 miles

= 749 miles

Cost of hiring a car = 150 + 85p

= 150 + 85(749)

= 150 + 63,665

= 63,815

Cost of hiring a car = £63,815

Answer:

y = x - 1 3/4*

Step-by-step explanation:

If 1 3/4 is used, then subtracting that from the previous amount will give you the amount that Paula has currently

* My answer is only correct if you meant 1 3/4, not 134. If you meant 134, then the answer would be y = x - 134

Answer:

1678.95

Step-by-step explanation:

Answer:

500 bricks.

Step-by-step explanation:

There are 250 bricks used to build a wall that is 20 feet high how many bricks will be used to build a wall is 40 feet high?

To solve e the above question, we have:

20 feet high = 250 bricks

40 feet high = x bricks

Cross Multiply

20 feet × x bricks = 40 feet × 250 bricks

x bricks = 40 feet × 250 bricks/20 feet

x bricks = 500 bricks

Therefore, 500 bricks will be used to build a wall is 40 feet high.

Answer:

10/10

Step-by-step explanation:

pretty good looking pup good snout good fur nice colors overall good pup

Answer:

   here we have rolled two dice. So total no. of possible outcomes will be 6^2=36. These are (1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6).

   Now, among these cases the cases where the sum is seven for (1,6), (2,5), (3,4), (4,3), (5,2), (6,1) i.e. there are 6 cases.

   Now, it is time to calculate the probability.

   The required probability is,

   p = (No. of cases favorable for the event)/(Total no. of cases)

   =6/36 =

Step-by-step explanation:

Two fair six-sided dice are rolled. What is the probability that the sum of the two dice is seven?

Answer:

3/56

Step-by-step explanation:

There are 8 letters in the word DECEMBER. The probability of picking a C first is 1/8, since there's only one C. Since the letter is not replaced, there are now 7 letters to choose from, out which 3 of those are the letter E. Therefore, the probability of picking an E second is 3/7. The total probability then is equal to [tex]\frac{1}{8}[/tex] times [tex]\frac{3}{7}[/tex], which is equal to [tex]\frac{3}{56}[/tex].

Hope this helps! :D