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AnnyKZ [126]
3 years ago
5

A dance club ordered shoes for all of its members. The shoe sizes are shown in the table.

Mathematics
2 answers:
Kamila [148]3 years ago
5 0
The sample mean is the sum of the sample values divided by the number of them:
  (7 +7 +10 +6 +9 +6 +8 +7.5 +8.5 +8)/10 = 77/10 = 7.7

The sample mean is 7.7.
Olegator [25]3 years ago
5 0

Answer:

The sample mean of the data is:

7.7

Step-by-step explanation:

The sample mean is the sum of all sample observations divided by the number of sample observations.

Let sample mean=x

x=(7 +7 +10 +6 +9 +6 +8 +7.5 +8.5 +8)/10

x= 77/10

x= 7.7

Hence, the sample mean of the data is:

x=7.7

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31.) State the slope of the line shown below.
Murljashka [212]
The answer is undefined


The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).
5 0
3 years ago
Given an arithmetic sequence with a3=5 and a5=19, find the 24th term.
krok68 [10]

The 24th term is 152

Step-by-step explanation:

The formula of the nth term of an arithmetic sequence is:

a_n=a+(n-1)d , where

  • a is the first term
  • d is the common difference between consecutive terms

The third term means n = 3

∵ a_3=a+(3-1)d

∴ a_3=a+2d

∵ a_3 = 5

- Equate the right hand sides of the third term

∴ a + 2d = 5 ⇒ (1)

The fifth term means n = 5

∵ a_5=a+(5-1)d

∴ a_5=a+4d

∵ a_5 = 19

- Equate the right hand sides of the fifth term

∴ a + 4d = 19 ⇒ (2)

Now we have a system of equations to solve it

Subtract equation (1) from equation (2) to eliminate a

∴ 2d = 14

- Divide both sides by 2

∴ d = 7

- Substitute the value of d in equation (1) to find a

∵ a + 2(7) = 5

∴ a + 14 = 5

- Subtract 14 from both sides

∴ a = -9

The twenty fourth term means n = 24

∵ a = -9 and d = 7

- Substitute the values of a and d in the formula of the nth term

∴ a_24=-9+(24-1)(7)

∴ a_24=-9+(23)(7)

∴ a_24=-9+161

∴ a_24=152

The 24th term is 152

Learn more:

You can learn more about the arithmetic sequence in brainly.com/question/7221312

#LearnwithBrainly

5 0
3 years ago
What are the solutions to the quadratic equation (5y + 6)2 = 24?
Ivenika [448]

Answer:

y = \frac{2\sqrt{6} }{5} -\frac{6}{5}  OR  y = \frac{-2\sqrt{6} }{5} -\frac{6}{5}

Step-by-step explanation:

Our quadratic equation is: (5y + 6)² = 24.

The first step is to square root both sides:

5y + 6 = ±√24 = ±2√6

Now subtract 6 from both sides:

5y = ±2√6 - 6

Finally divide by 5 from both sides:

y = \frac{2\sqrt{6} }{5} -\frac{6}{5}  OR  y = \frac{-2\sqrt{6} }{5} -\frac{6}{5}

And, those are the solutions to the equation.

7 0
3 years ago
Read 2 more answers
7/2x+1/2x = 18+ 9/2x
chubhunter [2.5K]

Answer:

x=-36

Step-by-step explanation:

Add the 7/2x +1/2x to be 8/2x which means that it'll be 4x=18=9/2

then subtract 9/2x on both sides so itll be

4x=18+\frac{9}{2} x

-9/2x       -9/2x

-\frac{1}{2} x=18   because if you do 8/2-9/2 it's -1/2

then multiply the reciprocal to both sides so

(\frac{2}{-1})(-\frac{1}{2}x)=(\frac{2}{-1})(18)

which then cancels out -1/2 and makes it

x=-36

4 0
3 years ago
Using the graph, determine the equation of the axis of symmetry
Wittaler [7]

Answer:

The axis of symmetry is x=1

5 0
2 years ago
Read 2 more answers
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