Find the median and mean of the data set below:
31
,
38
,
35
,
36
,
3
31,38,35,36,3

Answer:

u = -3

Step-by-step explanation:

-9 - 4u = -u

    +4  = +4

Add 4u to both sides.

-9 = 3u

Divide both sides by 3

-9/3 = 3/3

-3 = u

Answer: The variable u  is equal to -3 for this equation.

Step-by-step explanation:

To solve this variable equation, you will need to follow these steps:

Rewrite the equation, moving 9 to the other side, adding it on both sides, and simplify

-4u = -u + 9

After that, move u to the other side of the equation, also adding it on both sides and simplify

-3u = 9

Then divide both sides by -3, simplify it one last time and you will get your answer!

-3

Therefore, the answer to this equation would be equal to negative three or -3. Hope this helps!

Answer:

median is 25, max value is 24, but check IQR and range

Answer:

Option 1

Option 2

Option 4

Only incorrect answer is that of Option 3

Step-by-step explanation:

This is slightly tricky because the value of the first quartile and that of the third quartile have to be estimated roughly since more accurate units on the scale are not provided. One can only say that Q1 lies between 10 and 15, Q3 lies between 35 and 40

I estimate Q3 as 38 and Q1 as 12(I could be off base here) which gives the Inter Quartile Range IQR = Q3 - Q! = 38 - 12 =26

If your previous attempts have indicated this answer as incorrect you should not choose it. However IQR is close to 26 so that is my best estimate and I would state Option 1 as correct

Option 2 is correct - you can see that the last vertical line which is the end of the right whisker is at 44

Option 3 is wrong - The maximum value is 44, minimum value is positive at about 2  (tail of left whisker so range cannot be 50. Estimate is 44- 2 = 42

Option 4 is correct:
The median marks the mid-point of the data and is shown by the line that divides the box into two parts (sometimes known as the second quartile). Half the scores are greater than or equal to this value, and half are less.

This line is at 25 so the median is 25

I hope that was useful and you get it correct.

Makayla bought stock in a company two years ago that was worth x dollars. During the first year that she owned the stock, it increased by 12%. During the second year, the value of the stock decreased by 7%. The value of the stock in terms of x after two years have passed is 1.0416x dollars.

Value of stock = x dollars

During 1st year, increase in stock = 12%

Therefore, the value of stock becomes = [tex]\frac{12}{100}[/tex] × (x) + x

                                                                 = 0.12x + x = 1.12x

During 2nd year, decrease in stock = 7%

Therefore, the value of stock becomes = 1.12x - [tex]\frac{7}{100}[/tex] ×1.12x

                                                                 = 1.12x - 0.0784x = 1.0416x

So, the value of the stock in terms of x after two years have passed is 1.0416x dollars.

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Answer:

Step-by-step explanation:

The expression without the absolute value symbol is:

|x - 8| = x - 8, if x > 8

|x - 8| = 0, if x = 8

|x - 8| = 8 - x, if x < 8

From the given parameters

We have,

|(x - 19) + 11|

This can be written as,

= |x - 19 + 11|

= |x - 8|

Now,

|x - 8| = x - 8, if x > 8

|x - 8| = 0, if x = 8

|x - 8| = 8 - x, if x < 8

Thus,

The expression without the absolute value symbol is:

|x - 8| = x - 8, if x > 8

|x - 8| = 0, if x = 8

|x - 8| = 8 - x, if x < 8

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#SPJ1

Answer is A!

Hope this helps :)

Answer:A

Step-by-step explanation:100-18=82 in percentages convert that to fractions and you have 0.82 x whatever he earned at first (x) becauss we are dealing with percentages here

Answer:

c and a

Step-by-step explanation:

Answer:

Since ABC and DEF are congruent, they have the same measures so DE and AB are equal. This gives you the answer of A) 16 cm.

I hope this helps, have a great day! :)

Answer:

Step-by-step explanation:

To solve the congruence 5x ≡ 6 (mod 7), we need to find a value for x that satisfies the equation.

First, we'll find the multiplicative inverse of 5 modulo 7. The multiplicative inverse of a modulo m is a number x such that ax ≡ 1 (mod m). In this case, we need to find a number x such that 5x ≡ 1 (mod 7).

To find the multiplicative inverse, we can try different values of x and compute the result until we find one that satisfies the equation. Alternatively, we can use a more efficient method like the Extended Euclidean Algorithm.

Using the Extended Euclidean Algorithm, we find that the multiplicative inverse of 5 modulo 7 is 3, as 5 * 3 ≡ 1 (mod 7).

Now, we can multiply both sides of the congruence by the multiplicative inverse (3) to isolate x:

5x ≡ 6 (mod 7)

3 * 5x ≡ 3 * 6 (mod 7)

15x ≡ 18 (mod 7)

Reducing the coefficients:

1 * x ≡ 4 (mod 7)

Since x ≡ 4 (mod 7), the solution to the congruence 5x ≡ 6 (mod 7) is x ≡ 4 (mod 7). This means that x can be written as x = 4 + 7k, where k is any integer.

Answer:

5c/4

Step-by-step explanation:

c = c × 1

0.25c = 0.25c × 1

c + 0.25c

Take " c " common.

= c × (1 + 0.25)

= c × 1.25

Convert 1.25 into a simpler fraction

1.25

= 125/100

= 5/4

c × 1.25

= c × 5/4

= (c × 5)/4

= 5c/4

The fractional coefficient is (5c/4)

A coefficient is a number or any symbol representing a constant value that is multiplied by the variable of a single term

Given:

[tex]\sf c+0.25c[/tex]

[tex]\sf =(1+0.25)c[/tex]

[tex]\sf =(1.25)(c)[/tex]

[tex]\sf =1.25c[/tex]

[tex]\sf =\dfrac{125}{100}[/tex]

[tex]\sf =\dfrac{5}{4}[/tex]

[tex]\sf =\dfrac{5c}{4}[/tex]

Hence the fractional coefficient is (5c/4)

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Answer:

z = -2

Step-by-step explanation:

6z - 2 = 6 + 10z

-6z         =    -6z

Subtract 6z from both sides.

-2 = 6 + 4z

Subtract 6 from both sides.

-8/4 = 4z/4

Divide both sides by 4 to get z.

-2 = z

Answer:

answer  is 189.43

Step-by-step explanation:

Answer: 180.6 cm2

Step-by-step explanation:

B = base = 7 cm

S = slant height = 9.4 cm

Formula: Surface area = b(*powered) + 2bs

Step by step:

7(7) + 2(7)(9.4) =

49 + 2(65.8) =

49 + 131.6 =

180.6 cm2

Answer:

D

D

Step-by-step explanation:

i might be wrong tho

Answer:1/8

Step-by-step explanation:

Question 1)

Volume of Tank A = Sum of volume of its two parts.

So,

Volume of Tank A = 24 + 96 = 120 cubic feet

Question 2)

Volume of Tank B and Tank A is the same. So, Volume of Tank B = 120 cubic feet

One section of Tank B = 45 cubic feet

So, volume of other section of tank B = 120 - 45 = 75 cubic feet

hope this helps sorry

The ratio of the volume of the smaller tank compared to the volume of the larger tank is 1/27. Option B is correct.

Ratio of the volume of the smaller tank compared to the volume of the larger tank = Volume of smaller tank/Volume of larger tank.

Volume of cube = a³

a = length of side of cube.

Length of the side of the smaller tank = 15cm.

Length of the side of the larger tank = 45cm.

Volume of smaller tank = (15)³ = 3375 cm³

Volume of larger tank = (45)³ = 91125 cm³

Ratio of the volume of the smaller tank compared to the volume of the larger tank = 3375/91125 = 1/27.

Therefore the ratio of the volume of the smaller tank compared to the volume of the larger tank is 1/27.

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Part A: 15x= $810.75. Part B: x= $54.05

The total money earned from 15 tickets is $810.75.

Assume, the money earned from selling 1 ticket is $x.

Therefore, the money earned from selling 15 tickets= 15*x= 15x= $810.75

Here, the variable, i.e. the changing value, is x which is the price of each ticket. The equation hence derived is 15x= $810.75.

Using the equation above,

15x= $810.75.

Dividing both sides by 15,

We get,

x= $54.05

Hence, $54.05 is the price of each ticket.

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Answer: 49.75 in^2 (letter C)

Step-by-step explanation:

2*3.5*2=14

2*3.25*2=13

2*3.5*3.25=22.75

14+13+22.75=49.75 sq. in.

To compare the probabilities of hitting the ball, we need to find the decimal equivalent of each fraction.

Player 1: 7/11 = 0.636

Player 2: 6/9 = 0.667

Player 3: 5/7 = 0.714

Comparing the probabilities, we can see that Player 3 has the highest probability of hitting the ball, followed by Player 2 and then Player 1. So the correct statement is:

Player 3 is more likely to hit the ball than Player 2 because P(Player 3) > P(Player 2), and Player 2 is more likely to hit the ball than Player 1 because P(Player 2) > P(Player 1).

It's important to note that the probabilities don't guarantee that a player will hit the ball every time they're at bat. They simply indicate the likelihood of hitting the ball based on their past performance.

Answer: Model B

Step-by-step explanation: Model B, shows the cutting of 40%  of the ribbon since, if you divide it into 10 parts, with each piece representing 10%, if you take away 4 of those parts, which is equal to 40%. So it is Model B.

Answer:

The dimensions of the rectangular building are 30 meters by 37 meters.

Answer:

30 by 37 meters

Step-by-step explanation:

Refer to the attached image to understand where the following formulas came from.

[tex]\text{Area,} \ A=1110 \ m^2\\\\\text{Perimeter,} \ P=134 \ m[/tex]

We have a system of equations

[tex]\Longrightarrow \left \{ {{xy=1110} \atop {2x+2y=134}} \right.\\\\\text{Taking equation 2} \rightarrow 2x+2y=134\\\\\Longrightarrow 2x=134-2y\\\\\Longrightarrow x=67-y \\\\\text{Now taking equation 1} \rightarrow xy=1110\\\\ \Longrightarrow (67-y)y=1110\\\\ \Longrightarrow 67y-y^2=1110\\\\ \Longrightarrow y^2-67y+1110=0\\\\\Longrightarrow (y-37)(x-30)=0\\\\\Longrightarrow \boxed{y=37 \ m \ or \ 30 \ m }[/tex]

When y=37:

[tex]x(37)=1110\\\\\Longrightarrow \boxed{x=30}[/tex]

When y=30:

[tex]x(30)=1110\\\\\Longrightarrow \boxed{x=37}[/tex]

So, the dimensions of the building are 30 by 37 meters.

Answer: x∛⇄t¬∝∠∧

Step-by-step explanation:

Answer:

Step-by-step explanation:

17 times 9= 153 and 15 times 3=45 so the awnset is 198

Answer:

Part A is c

Step-by-step explanation:

A function is a graph thag passes the vertical line test ,meaning it touches the vertical line only once so in order for that happen a point must have one x value (input) and one y value (output)

Answer:

First box (Top left): y + x = 4

Second box (Top right): y = x + 4

Third box (Bottom): y = (1/4)x

Step-by-step explanation: For the first box on the top left, the line is shown going down which means as x increases, y decreases resulting in a negative slope. Since the equation of a line has the form y = mx + b where m represents the slope, m would be a negative number for a negative slope. By rearranging the equations above, we can write y + x = 4 as y = -x + 4 after subtracting both sides by -x to make it look like the form y = mx + b. Since this is the only equation with a negative slope and the y-intercept (where the line intercepts the y-axis) represented as b is 4 as shown in the graph and the equation, the equation for this line is y + x = 4.

For the second box on the top right, the line is shown going up which means as x increases, y increases resulting in a positive slope. Since the slope is now positive, the m, in the same form, y = mx + b, would be a positive number. The y-intercept or b is also still 4 as shown in the graph as the line intersects the y-axis so by looking at the options above, the equation for this line is y = x + 4.

For the third box on the bottom, the line is shown with a less steep slope going up meaning as x increases, y increases with a lower slope. Since the slope will still be positive but lower than the previous line with a y-intercept of 0 as shown in the graph, the equation for this line is y = (1/4)x.

Answer:

C.Subtract x- vlaues 8-3=5 units

Step-by-step explanation:

Answer:

are means to multiply and perimeter means to add so you multiply the numbers outs the polygon

Step-by-step explanation:

Answer: A)-4, D)2, and F)5

Step-by-step explanation:

If the inputs repeat themselves it no longer becomes a function :)

Answer:

c

Step-by-step explanation:

so you add 12-12-43 and get 120 so ya

Answer: It's D!!

Step-by-step explanation: 1 is more than -2:)