A data set has the following six data points: 11, 3, x, x+2, 5, 10. If the median if this data set is 7, then what is the possible value of x?

Answers

Answer 1

Answer:

x=6

Step-by-step explanation:

The median is also the number that is halfway into the set. To find the median, the data should be arranged in order from least to greatest. If there is an even number of items in the data set, then the median is found by taking the mean (average) of the two middlemost numbers

11, 3, x, x+2, 5, 10

in ascending order the data points:

3, 5, 10, 11, x, x+2, then median >7x, x+2, 3, 5, 10, 11 then median <73, 5, x, x+2, 10, 11 then median is (x+x+2)/2=7 ⇒ x+1=7 ⇒ x=6

Related Questions


y = -x + 3
X+ y=20

Are the lines parallel?

Answers

Answer:

Yes

Step-by-step explanation:

If we put both equations in slope-intercept form, we have

y=-x+3

y=-x+20

Both lines have the same slope of (-1).

16w =-3x - 15y for x

Answers

Answer: x= -5 1/3w -5y

Step-by-step explanation:

add -15y to other side. then divide by -3 on both sides. 16/-3= -5 1/3 w and 15/-3 is -5

Please help me
Thank u soooooo much

Answers

Answer:

the second integer is greater than the first

Step-by-step explanation:

Answer:

C. the second integer is greater than the first integer.

Step-by-step explanation:

this has to be true, because the farther you get to the right of the number line, the higher the numbers get.

It is not A or B, because we are not certain whether the second integer is negative or positive since we don't have any references.

And its not D, because the farther left you go, the less the numbers get.

The perimeter of a rectangular yard which has one side that measures twenty-three metres equals 154 m. What are the dimensions of each side of the yard? PLEASE SHOW ME THE FORMULA YOU USE.

Answers

Answer: our rectangle is 23 meters of width and is 54 meters long.

Step-by-step explanation:

The perimeter of a rectangle is P = 2*W + 2*L

where W is the width and L is the length.

We know that W = 23m and P = 154m

then:

154m = 2*23m + 2*L

(154m - 2*23m)/2 = L = 54m

So our rectangle is 23 meters of width and is 54 meters long.

A cylindrical jar’s life has a radius of 4 inches. If the volume is 351.68in^3, approximately what is the height of the jar?

Answers

Answer:

7 inches

Step-by-step explanation:

The volume of a cylinder is calculated using

where r =4 inches is the radius and V=351.68 is the volume.

To find the height of the jar, we substitute these values and solve for h.

Divide both sides by 50.24 to get:

h=7 inches

Therefore the height of the jar is 7 inches

Which event is least likely to occur?

Answers

Answer:

C. picking a 4 of diamonds from a standard deck of cards

Step-by-step explanation:

First, we need to remember what the possible outcomes of a deck of cards, a flipped coin, and a standard number cube are.

A standard deck of cards has a total of 52 cards. There are 4 cards with a 7 on them. There is only one card with a 4 of diamonds. A nickel has 2 sides, and each side is equally likely show after a coin toss. A number cube has 6 faces with a different number from 1 to 6 on each face.

Now we find the probability of each situation. To find the probability of an event, divide the number of ways the desired event can happen by the total number of outcomes.

1. p(7) = 4/52 = 1/13 = 0.0769

2. p(tails) = 1/2 = 0.5

3. p(4 of diamonds) = 1/52 = 0.0192

4. p(number greater than 2) = 4/6 = 2/3 = 0.667

Answer: picking a 4 of diamonds from a standard deck of cards

Can someone please help me in geometry I don’t understand I am stuck please help

Answers

Answer:

The value of x is 66

Step-by-step explanation:

Answer:

66°

Step-by-step explanation:

The interior angles of a triangle always sum up to 180°.  Looking at the first triangle, we see 48° + 66° + x = 180°, or x = 180° - (48° + 66°) = 66°.  This is true because the triangles are congruent.

what is the inverse of the function f(x) = 1/9x +2

Answers

Answer: The Inverse function is f^-1 (x) = 9x-18

From the top of a fire tower, a forest ranger sees his partner on the ground at an angle of depression of 40º. If the tower is 45 feet in height, how far is the partner from the base of the tower, to the nearest tenth of a foot (Detailed explanation please)

Answers

Answer:

distance of his partner from the base of the tower ≈ 53.6 ft(nearest tenth)

Step-by-step explanation:

The forest ranger is on top of a fire tower and he sees his partner on the ground at the angle of depression of 40°. The tower is 45 ft tall.  

The illustration forms a right angle triangle.

The adjacent side of the triangle is the distance from the partner to the base of the tower.

Using tangential ratio

tan 40° = opposite/adjacent

tan 40° = 45/adjacent

cross multiply

adjacent tan 40° = 45

divide both sides by tan 40°

adjacent =45/tan 40°

adjacent = 45/0.83909963117

adjacent = 53.6289116667

distance of his partner from the base of the tower ≈ 53.6 ft

If \orange{\angle ADC}∠ADCstart color #ffa500, angle, A, D, C, end color #ffa500 measures 23^\circ23 ∘ 23, degrees, what does \blue{\angle ABC}∠ABCstart color #6495ed, angle, A, B, C, end color #6495ed measure?

Answers

Answer:

<ABC

Step-by-step explanation:

Answer:

46 Degrees

Step-by-step explanation:

hoped this helped

Please help me, I don’t wanna fail..

Answers

the answer is 8.7 cm

Answer:

8.7

Step-by-step explanation:

Solve for x.

a. 5

b. 10

c. 6√3

d. 9

Answers

a is the correct answer to this question!!

What the answer is on the number line

Answers

The answer for this question is c

The sum of a number and 2 times the number
is 69. Find the number.
A) 23
B) 25
C) 16
D) 19

Answers

Answer: A) 23

Step-by-step explanation:

You can substitute x in the equation for the unknown number.

This way, x + 2x= 69

3x=69

x=23

Answer:

23

Step-by-step explanation:

just use the multiple choices and get your answer.

I got 23 as the answer.

23 + 46 = 69

Madison has three jobs. This week she earned $124 waitressing, $30 delivering packages, and $46 babysitting. What percent of her money earned this week came from babysitting

Answers

Answer:

23%

Step-by-step explanation:

Answer:

23 %

Step-by-step explanation:

The total money earned:

124+ 30+ 46 =200

Percent earned babysitting

money earned babysitting / total * 100%

46/200 * 100 = 23 %

Select the correct answer. Sarah wants to print copies of her artwork. At the local print shop, it costs her $1 to make 5 copies and $5 to make 25 copies. Which equation represents this direct variation?

Answers

Answer:

P=KC

P=1/5(C)

Step-by-step explanation:

Let

p=price per 5 copies

c=no. of copies

Direct variation can be written as

P=KC

K=constant

P=1 when c=5

1=k*5

1=5k

k=1/5

The direct variation equation can be written as

P=1/5(c)

Answer:

1/5

Step-by-step explanation:

Plato

Find the area of a sector with a central angle of 180° and a diameter of 5.6 cm. Round to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Mathematically, the area of a sector can be calculated using the formula below;

area of sector = angle/360 * pi * r^2

From the question, angle = 180

pi= 22/7

r = d/2 = 5.6cm/2 = 2.8 cm

So the area of the sector is as follows;

A = 180/360 * 22/7 * 2.8^2

A = 2 * 22/7 * 2.8^2 = 49.28

which is 49.3 cm^2 to the nearest tenth

Please help me with my question!!

Answers

Answer:

b

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

This is because when we do the work in the boxes we can see that B is the only answer that works with it.

Pls put me as brainliest ;)

4 tan 45° +(2 sin 45°) (6 cos 45°)​

Answers

Answer:

value of 4 tan 45° +(2 sin 45°) (6 cos 45°)​ is 10.

Step-by-step explanation:

To solve this question we need to know value of

tan 45° = 1

sin 45° = [tex]1/\sqrt{2}[/tex]

cos 45° = [tex]1/\sqrt{2}[/tex]

we will be using above value sin the given expression as shown

[tex]4 tan 45 +(2 sin 45) (6 cos 45)​ = 4*1 + (2*1/\sqrt{2} )(6*1/\sqrt{2})\\ = 4 + (2/\sqrt{2}) (6/\sqrt{2})\\= 4 + (2*6)/(\sqrt{2}*\sqrt{2})\\= 4 + (12/2)\\= 4 + 6 = 10[/tex]

Thus, value of 4 tan 45° +(2 sin 45°) (6 cos 45°)​ is 10.

The total cost of a pair of shoes and a belt was $71.57. If the price of a pair of shoe was $1.79 less than the belt, what was the price of the pair of shoes?

Answers

Answer:

$34.89

Step-by-step explanation:

Here, we want to calculate the price of the pair of shoes.

Let the price of the belt be $x, we know that the price of pair of shoes would be x-1.79

so adding;

x + x-1.79 = 71.57

2x = 71.57 + 1.79

2x = 73.36

x = 73.36/2

x = $36.68

The price of pair of shoes = x-1.79 = 36.68-1.79 = $34.89

Given 1 and 3 are supplementary Prove A is parallel to B

Answers

Answer:

that line is a translation through the other two line.

Step-by-step explanation:

a translation on a line makes them paralel

Plz someone help me, this is due in 45mins

Answers

Answer:

Stem   Leaf

2          8

3          4 4

5          0 4

So we need to put all the tens values in the "stem" column and all the ones values in the "leaf" column, sorted from least to greatest.

We have three tens values: 2, 3, and 5. So those are our three stems, in order.

We have to put the second number, the ones value, in the leaf column, least to greatest. So with two values of 34, we need two 4 leaves.  

Answer:

c

Step-by-step explanation:

PLEASE HELP!!! GEOMETRY QUESTION

Answers

Answer:

Step-by-step explanation:

2y + 100 +6x-10=180(in a cyclic quadrilateral opposite angles are supplementary)

2y+6x+90 =180

2y + 6x = 90

dividing each side by 2

y+3x = 45   ........1

7x+1+2y+74 =180 ( same reason)

7x + 2y =105  ............2

multiplying 1 by 2

2y +6x =90........ 3

subtracting 3 from 2

7x+2y-2y-6x = 105-90

x = 15

substituting x=15 in 1

y+45 =45

y= 0

please mark me as the brainliest

A chef cooks rice using a 1: 2 ratio of dry rice to water. Her recipe calls for 9.5 cups of dry rice.
How much water does she need?

Answers

Answer:

19 cups of water.

Step-by-step explanation:

1:2 ratio

1=9.5

2=9.5*2= 19

Answer:

19 cups of water.

someone help me pls :))

Answers

Answer:

x = 16

Step-by-step explanation:

pilar bought 2/3 pound of turkey she ate 1/4 of the turkey for lunch how many pounds of turkey did she eat

Answers

Step-by-step explanation:

2/3 - 1/4

8/12 - 3/12= 5/12

She ate 5/12 pound of turkey.

please see the attached picture for full solution

hope it helps

Good luck on your assignment...

Last week, a chocolate shop sold 6 1/6 ounces of white chocolate. It sold 2/9 times as much milk chocolate as white chocolate. How many ounces of milk chocolate did the shop sell? Express your answer as a simplified mixed number. URGENT!

Answers

Answer:

[tex]1\frac{10}{27}[/tex]

Step-by-step explanation:

It's just:

[tex]6 \frac{1}{6} *\frac{2}{9}=\\[/tex]

[tex]\frac{37}{6} *\frac{2}{9} =[/tex]

[tex]\frac{74}{54} =[/tex]

[tex]\frac{37}{27} =[/tex]

[tex]1\frac{10}{27}[/tex]

Hope this helps and is correct.

Given a square with two vertices of one side located at -5,-3 and -5,12 in square units what is its area

Answers

Answer:

225 units squared

Step-by-step explanation:

Lets find the distance (the side length of the square)

D=sqrt((x2-x1)^(2)+(y2-y1)^(2))

plug in the coordinates:

D=sqrt((-5-(-5))^(2)+(12-(-3))^(2))

D=sqrt(0^(2)+15^(2))

D=sqrt(15^(2))

D=15

Area of a square is side length squared

A=s^2

A=15^2

A=225 units squared

preform the operation indicated (x^2+7x-9)-(3x^2-2x+11)

Answers

Answer:

−2x^2 + 9x − 20

Step-by-step explanation:

distribute the negative to the expression and simplify

x^2 + 7x + −9 + −3x^2 + 2x + −11

= −2x^2 + 9x − 20

i need help on this. (the middle one)

Answers

Answer:

The answer is C.

Step-by-step explanation:

ur welcome

I did the math and it’s the answer is C.
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