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dmitriy555 [2]
2 years ago
15

Find the mean and median of the data set.

Mathematics
1 answer:
zhuklara [117]2 years ago
3 0

Answer:

Mean: 50.8 or 51 (rounded)

Median: 51.5 or 52 (rounded)

Step-by-step explanation:

To find the mean I added all the numbers then divides my sum but the number of numbers.

To find the median I listed the numbers from least to greatest.There are two middle numbers so I added the two numbers and divided the same by 2.

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The value of x in this system of equations is 1. 3x + y = 9 y = –4x + 10 Substitute the value of y in the first equation: Combin
svp [43]

Answer:

X = 1

Step-by-step explanation:

To solve the system of equation by susbtitution:

3x + y = 9

y = –4x + 10

We can follow the steps thus:

<em />

<em>Substitute the value of y in the first equation:</em>

As in the second equation y = -4x + 10 we can substitute in the first equation as follows:

3x + y = 9

3x + -4x + 10 = 9

<em>Combine like terms: </em>

3x + -4x + 10 = 9

Like therms are the therms with X (3x - 4x = -1x):

-1x + 10 = 9

<em>Apply the subtraction property of equality: </em>

-1x + 10 = 9

As 10 is suming, it passes to subtracting the 9:

-1x  = 9 - 10

-1x = -1

<em>Apply the division property of equality:</em>

-1x = -1

Dividing in -1:

x = -1 / -1

<h3>X = 1</h3>
8 0
3 years ago
Lupe and her friends spend $20 on hot dogs and popcorn at a
vodomira [7]

Answer:

They buy 6 hotdogs and 5 popcorn

Step-by-step explanation:

Assume that they buy x hotdogs and y popcorn

∵ They buy a total of 11 hotdogs and popcorn

∵ The number of hotdogs is x and the number of popcorn is y

∴ x + y = 11 ⇒ (1)

∵ Hot dogs cost $2.50 each

∵ Popcorn costs $1.00 each

∵ They spend $20 on hot dogs and popcorn

→ Multiply x by 2.5 and y by 1, add the products and equate the sum by 20

∴ 2.5(x) + 1(y) = 20

∴ 2.5x + y = 20 ⇒ (2)

Now we have a system of equations to solve it

→ Subtract equation (1) from equation (2)

∵ (2.5x - x) + (y - y) = (20 - 11)

∴ 1.5x + 0 = 9

∴ 1.5x = 9

→ Divide both sides by 1.5 to find x

∴ x = 6

→ Substitute the value of x in equation (1) to find y

∵ 6 + y = 11

→ Subtract 6 from both sides

∴ 6 - 6 + y = 11 - 6

∴ y = 5

∴ They buy 6 hotdogs and 5 popcorn

8 0
2 years ago
HELPPPPP!!! Can you TEACH ME HOW TO DO THIS and will give b
IRINA_888 [86]

Answer:

yh I can help the answer is 185/1000 bc u have to convert it as a fraction and u can simplify it by 5 then the answer will be 37/200 plz try this if not I will tell u something else

5 0
2 years ago
Two diameters of circle P are AB and CD. Find the measure of arc ACD and arc AC when arc AD has a measure of 20 degrees
steposvetlana [31]

Answer:

Hence measure of arc ACD and arc AC are 340 degrees and 160 degrees respectively.

Step-by-step explanation:

Given:

A Circle with p as center and AB and CD as 2 diameters for a circle.

To Find:

Measure of ACD, and arc AC when arc AD is 20 degrees.

Solution:

<em>As we know that , Diameter is biggest chord which passes through center of circle,</em>

<em>Hence it divides the circle into two equal parts and making center as midpoint of it</em> .

(Refer the attachment)

angle APD=20 degree or arc AD=20 degree.

So AB as diameter ,so  arc DB=160 degree  or BPD=160 degree as A-B-P are

and angle APD and BPC are vertical opposite angles so they are congruent BPC=20 degree

Now,

points A,C,B,D,A makes circle which measures 360 degrees.

to find ACD

measure of ACD=360-(meaure of arc AD or angle APD)

=360-20

=340 degree.

Now arc AC,

as AB is diameter with p as midpoint ,A-P-B

arc APB=180 and arc BC=20 or angle BPC=20 degrees.

For measure of arc AC= measure of arc APB- arc BC

arc AC=180-20 degrees.

arc AC=160 degrees.

5 0
3 years ago
HELPP ITS A 60 min test and a alr took up most of my time watching t|k tok :} so now i have 20 mins left I will Give Brainlest!
soldi70 [24.7K]

Answer:

C

The "inverse operation" is just a way of saying "what do you do to isolate the variable". In this case, we isolate y, so we have to move all terms to the right side. To do that, we subtract 12 from each side to there will only be "y" on the left side.

8 0
2 years ago
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