Solve the differential equation: dy/dx = 4y2x

The mean score of 8 players is 14.5. If the highest individual score is removed the mean of the score of the remaining 7 players

AfilCa [17]

Answer:

The highest score is 32.

Step-by-step explanation:

We are given the following in the question:

The mean score of 8 players is 14.5.

Let x denote the highest score.

If x is removed, the mean of the score of the remaining 7 players is 12.

Formula for mean:

$\bar{x} = \dfrac{\displaystyle\sum x_i}{n}$

Putting values, we get:

$14.5 = \dfrac{\displaystyle\sum x_i}{8}\\\\\Rightarrow \displaystyle\sum x_i = 116\\\\12 = \dfrac{\displaystyle\sum y_i}{7}\\\\\Rightarrow \displaystyle\sum y_i = 84\\\\\displaystyle\sum y_i = \displaystyle\sum x_i -x \\\\84 = 116 - x\\\Rightarrow x = 32$

Thus, the highest score is 32.

4 0

4 years ago

Can I get some help?

ruslelena [56]

Answer:

y = 4x - 9

Step-by-step explanation:

The points on the graph we can see clearly are (1, -5) and (2, -1).

The equation of the line is in the form slope-intercept, where the general formula is y = mx + b.

We need to find "m", the slope of the line; and "b", the y-intercept.

Use the two points we found in the formula for calculating slope $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ .

Choose which is point 1 and point 2:

Point 1 (1, -5) x₁ = 1 y₁ = -5

Point 2 (2, -1) x₂ = 2 y₂ = -1

Substitute x₁, x₂, y₁, and y₂

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{-1-(-5)}{2-1}$ Solve in the numerator and denominator

$m=\frac{4}{1}$ Simplify the fraction

$m=4$ Slope of the line

Find "b":

Substitute a point's "x" and "y" coordinates, and the slope, "m", into the general formula for slope-intercept.

I will use point 2:

x = 2; y = -1; m = 4

y = mx + b

-1 = (4)(2) + b Multiply

-1 = 8 + b Start isolating "b"

-1 - 8 = 8 - 8 + b Subtract 8 from both sides

-1 - 8 = b "b" is isolated

b = -9 Answer for "b", y-intercept.

The variable should be on the left side for standard formatting.

Take the general formula: y = mx + b

Replace "m" and "b" with the values we found.

y = 4x - 9

8 0

3 years ago

How do you find the additive inverse of an inte

IRISSAK [1]

I couldn't understand your question, but I can give you the definition of an additive inverse. Additive Inverse is an opposite of a sign like +\- or -/+ For division the additive inverse is multiplication. Your question said inte so i assumed that means integer, so the additive inverse of an integer is the negative and the positive signs like -1/1 or 1/-1 :)

8 0

3 years ago

2. One angle is one less than six times the measure of

Illusion [34]

The equations used to find the measure of each angle in degrees is x + y = 90 and x = 6y - 1

The two complementary angles are 77 degrees and 13 degrees

Solution:

Given that two angles are complementary angles

Complementary angles are two angles whose sum is 90 degrees

Let one of the angle be "x" and the other angle be "y"

Therefore,

x + y = 90 ------ eqn 1

Also given that,

One angle is one less than six times the measure of another

one angle = six times the other angle - 1

x = 6y - 1 ------ eqn 2

Substitute eqn 2 in eqn 1

6y - 1 + y = 90

Thus the above equation is used to find the measure of each angle in degrees

Solve the above equation

6y + y - 1 = 90

7y - 1 = 90

7y = 91

y = 13

Substitute y = 13 in eqn 2

x = 6(13) - 1

x = 78 - 1

x = 77

Thus the two complementary angles are 77 degrees and 13 degrees

8 0

3 years ago

Identify whether each phrase is an expression, equation, or inequality.

OverLord2011 [107]

Answer:

swich the one attached to equation with the one attached to expression

Step-by-step explanation:

an equation need to have an equals sign, an expression doesnt.

8 0

3 years ago

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