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wel
2 years ago
15

Find the value of x . 12.5,−10,−7.5,x ; The mean is 11.5 .

Mathematics
1 answer:
fomenos2 years ago
4 0
There are four values, including the unknown value x. The sum of the four values is the given value of the mean, 11.5, multiplied by four. Let S be the sum of the four values. Then we can write:
S=11.5\times4=46

46=12.5 + (-10)+(-7.5)+x
x = 46 + 5 = 51
The answer is: The value of x is 51.

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Connor wants to solve the equation 4x=26. How could he use graphs to solve this equation?
astraxan [27]

Answer:

  • <u>He should graph the functions f(x) = 4x and g(x) = 26 in the same coordinate plane. The x-coordinate of the intersection point of the two graphs is the solution of the equation.</u>

Explanation:

<em>To solve the equation 4x = 26</em> using graphs, he should graph two functions in the same coordinate plane. The intersection of the two graphs is the solution of the equation.

The functions to graph are f(x) = 4x, and g(x) = 26.

The graph of f(x) = 4x is a line that goes through the origin (0,0) and has slope 4.

Some of the points to graph that line are:

<u>x            f(x) = 4x             </u>

0        4(0) = 0 →    (0,0)

2        4(2) = 8 →    (2,8)

4        4(4) = 16 →   (4,16)

6        4(6) = 24 →  (4, 24)

With those points you can do an excellent graph of f(x) = 4x

The graph of g(x) = 26 is horizontal line (parallel to the y-axis) that passes through the point (0, 26), which is the y -intercept.

You have to extend both graphs until they intersect each other. The x-coordinate of the intersection point is the solution of the function.

7 0
2 years ago
The APR of Antonio's savings account is 5.2%, and interest is compounded quarterly. If the principal in Antonio's savings accoun
WARRIOR [948]
Hi there
The formula of compound interest is
A=p (1+r/k)^kn
A future value?
P present value 12300
R interest rate 0.052
K compounded quarterly 4
N time 1 year
So
A=12,300×(1+0.052÷4)^(4×1)
A=12,952.18

Good luck!
7 0
2 years ago
Read 2 more answers
paloma eats 2/8 of an apple in the morning and 3/8 more in the afternoon. how much of an apple did she eat in total
marishachu [46]

Step-by-step explanation:

in this problem, we are solving for the amount of apple that Paloma eats

1. she ate 2/8 of a complete apple -hence the will be a remainder, we will find  

  that remainder

2. she also ate 3/8 of the remainder for lunch

3. we then proceed to calculate all apple she ate in total

1. \frac{2}{8} *1= \frac{1}{4} \\\\1-\frac{1}{4}= \frac{4-1}{4}  = \frac{3}{4}

2 she ate 3/8 of the remaining 3/4 apple

1. \frac{3}{8} *\frac{3}{4} = \frac{9}{32}

3. in  total she ate 1/4+ 9/32

\frac{1}{4} +\frac{9}{32} = \frac{8+9}{32} = \frac{17}{32}

6 0
2 years ago
A portfolio has average return of 13.2 percent and standard deviation of returns of 18.9 percent. Assuming that the portfolioi's
wlad13 [49]

Answer:

B. 0.835

Step-by-step explanation:

We can use the z-scores and the standard normal distribution to calculate this probability.

We have a normal distribution for the portfolio return, with mean 13.2 and standard deviation 18.9.

We have to calculate the probability that the portfolio's return in any given year is between -43.5 and 32.1.

Then, the z-scores for X=-43.5 and 32.1 are:

z_1=\dfrac{X_1-\mu}{\sigma}=\dfrac{(-43.5)-13.2}{18.9}=\dfrac{-56.7}{18.9}=-3\\\\\\z_2=\dfrac{X_2-\mu}{\sigma}=\dfrac{32.1-13.2}{18.9}=\dfrac{18.9}{18.9}=1\\\\\\

Then, the probability that the portfolio's return in any given year is between -43.5 and 32.1 is:

P(-43.5

6 0
2 years ago
This list shows the number of years that 99 U.S. Supreme Court Justices served.
Darina [25.2K]

Answer:

8

Step-by-step explanation:

0

4

6

8

13

15

18

22

26

31

1

4

6

9

13

15

19

23

26

32

1

4

6

9

14

16

19

23

27

33

2

5

7

9

14

16

20

23

28

33

2

5

7

10

14

16

20

23

28

33

2

5

7

10

14

16

20

23

28

34

3

5

7

10

15

17

20

24

29

34

3

5

8

11

15

17

20

24

30

34

3

5

8

13

15

18

21

26

30

36

4

5

8

13

15

18

21

26

31

a.

5

c.

7

b.

6

d.

8

6 0
2 years ago
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