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3 years ago

Complete the equation that is related to the given equation. m – 18.2 = –58

Mathematics

2 answers:

Effectus [21]3 years ago

5 0

THAT IS THE ANSWER IN ITSELF IT JUST NEEDS TO BE CHECKED TO COMPLETE THE EQUATION

TEA [102]3 years ago

5 0

M-18.2=-15
First, what you want to do is undo the subtraction in m-18.2. The opposite of subtraction is addition, so you add 18.2 on both sides.
18.2+18.2 cancels out and leaves m alone. -58+18.2 is -39.8. I got that by going with this rule in adding and subtracting negatives and positives: "Same signs= add Different signs= subtract." So, here they are different sings, so you subtract. So now your problem looks like -58-18.2. If you do 18.2-15, then u get 39.9. Your answer takes the greater number's sign, and since -58 is greater and is negative, then so is your answer.
Our final answer would be: -39.8

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A national newspaper reported that the state with the longest mean life span is Hawaii, where the population mean life span is 7

Alinara [238K]

Answer:

Mean = 71.4 years

Standard Deviation = 20.64 years

Step-by-step explanation:

We are given the following data set:

72, 68, 81, 93, 56, 19, 78, 94, 83, 84, 77, 69, 85, 97, 75, 71, 86, 47, 66, 27

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1428}{20} = 71.4$

Sum of squares of differences =

0.36 + 11.56 + 92.16 + 466.56 + 237.16 + 2745.76 + 43.56 + 510.76 + 134.56 + 158.76 + 31.36 + 5.76, 184.96 + 655.36 + 12.96 + 0.16 + 213.16 + 595.36 + 29.16 + 1971.36 = 8100.8

$S.D = \sqrt{\displaystyle\frac{8100.8}{19}} = 20.64$

Mean = 71.4 years

Standard Deviation = 20.64 years

6 0

4 years ago

Which point lies on a circle that is centered at A(-3, 2) and passes through B(1, 3)?

My name is Ann [436]

The equation of a circle:
$(x-h)^2+(y-k)^2=r^2$
(h,k) - the coordinates of the center
r - the radius

$\hbox{the center: } A(-3,2) \\
h=-3 \\ k=2 \\ \\
\hbox{the equation:} \\
(x+3)^2+(y-2)^2=r^2 \\ \\
\hbox{the circle passes through B(1,3)} \\
x=1 \\ y=3 \\ \Downarrow \\
(1+3)^2+(3-2)^2=r^2 \\
4^2+1^2=r^2 \\
16+1=r^2 \\
17=r^2 \\ \\
\hbox{the equation is:} \\
(x+3)^2+(y-2)^2=17$

Plug the coordinates of the points into the equation and check:
$C(-1,-2) \\
(-1+3)^2+(-2-2)^2=17 \\
2^2+(-4)^2=17 \\
4+16=17 \\
20=17 \\
not \ true \\ \\
D(-6,3) \\
(-6+3)^2+(3-2)^2=17 \\
(-3)^2+1^2=17 \\
9+1=17 \\
10=17 \\
not \ true$

$E(-3,-3) \\
(-3+3)^2+(-3-2)^2=17 \\
0^2+(-5)^2=17 \\
25=17 \\
not \ true \\ \\
F(-2,6) \\
(-2+3)^2+(6-2)^2=17 \\
1^2+4^2=17 \\
1+16=17 \\
17=17 \\
true$

The answer is F(-2,6).

8 0

3 years ago

Maths <img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B1%20%2B%20x%7D%20%2B%20%20%5Csqrt%5B3%5D%7B1%20-%20x%7D%20%3D%20%

Vilka [71]

Answer:

X=0,1

Step-by-step explanation:

Remove the radical by raising each side to the index of the radical

5 0

3 years ago

a hockey season ticket holder pays $99.26 for her tickets plus $4.50 for a program each game. A second person pays $18.68 for a

blsea [12.9K]

Answer:

7 games

Step-by-step explanation:

First Person:

Fixed Cost of 99.26

Variable Cost of 4.50 per game (program cost)

Second Person:

No Fixed Cost

Variable cost of 18.68 per game (ticket cost)

Now, we let the number of games be "x", so we can write 2 equations for each person. Then we equate and find at what number of games, the amount paid by both person would be same. Shown below:

First Person Equation:

99.26 + 4.50x

Second Person Equation:

18.68x

Now, equate and solve for x:

99.26 + 4.50x = 18.68x

99.26 = 18.68x - 4.50x

99.26 = 14.18x

x = 99.26/14.18

x = 7

So, the answer is 7 games

7 0

4 years ago

-2 is equal to -5 or is -2 greater than -5. or, is -2 less than -5?

Lostsunrise [7]

Answer:

-2 greater than -5.

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers