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3 years ago

Please I really need help! Can you answer A and B and I will mark you as brainliest!

Mathematics

1 answer:

Georgia [21]3 years ago

3 0

a) The average arithmetic mean is calculated by adding all of the values and then dividing the sum by the total number of values.

$\frac{198+199(3)+200(2)+201(5)+202(2)}{13} =200.3$

Which is 200.3.

b) Assume that the new average mean is 201, then

$201 = \frac{198 + 199(3) + 200(2) + 201(5) + 202(2)+x}{14}$

Solve for x.

$2814= 2604x$

Divide by 2604 to solve for x.

$\frac{2814}{1604} = x = 1.75$

So the height of the new player is 175 cm.

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Can anyone help me with the answer to this please?

stiks02 [169]

Answer:

Step-by-step explanation:

To find the inverse function switch variables out and solve for y

y=(x+3)/x swap variables to get

(y+3)/y=x then solve for y

y+3=yx

y-yx+3=0

y-yx=-3

y(1-x)=-3

y=-3/(1-x)

y=3/(x-1)

8 0

3 years ago

Determine (without solving the problem) an interval in which the solution of the given initial value problem is certain to exist

charle [14.2K]

Answer: t = - 5 ∈ $I_{1}$ = ( -∞ , -4 )

Step-by-step explanation:

The standard form of O.D.E is written as :

$y^{1}$ + $p(t) = g(t)$

Equation given :

$(16-t^{2} )y^{1}$ + $9ty$ = $5t^{2}$ , $y(-5) = 1$

The first thing to do is to write the O.D.E in standard form , that is we will divide through by $16 - t^{2}$ , so we have

$y^{1} + \frac{9ty}{16-t^{2}}=\frac{5t^{2}}{16-t^{2}}$

With this , we can see that $p(t)$ and $g(t)$ are both continuous in the same domain. Therefore , the intervals are :

$I_{1}$ = ( -∞ , -4 )

$I_{2}$ = ( - 4 , 4 )

$I_{3}$ = ( 4 , -∞ )

recall that y(−5) = 1 , then t = -5

This means that :

t = - 5 ∈ $I_{1}$ = ( -∞ , -4 )

3 0

3 years ago

Room occupancy percentage or ROP is A. Total rooms available divided by number of rooms sold B. Room cost divided by room sales

Jet001 [13]

Answer:

Option D is the correct answer.

Step-by-step explanation:

Room Occupancy Percentage:

It is defined as the ratio of total number of rooms occupied to the total number of rooms available.
Formula:

$ROP =\dfrac{\text{Number of rooms availabe}}{\text{Number of rooms available}}\times 100\%$

Thus, the correct answer is:

Option D)

Total rooms occupied divided by total available rooms

3 0

3 years ago

The lenght of the base of an isosceles triangle is x. The lenght of a leg is 2x-5. The perimeter of the triangle is 20. Find x.

Alex73 [517]

20 = × + 2 (2x-5)
20 = x + 4x - 10
20 = 5x - 10 add 10 to both sides
30 = 5x divide both sides by 5
6 = x
1 side is 6 the other 2 sides are 7

8 0

4 years ago

I have no idea what the answer is too this. It is geometry if you didn't know already. I'm really struggling here. If anybody co

creativ13 [48]

Answer:

33.68

Step-by-step explanation:

The two y values coming from I are equal.

The two x values coming from K are equal.

That's because tangents to a circle from the same external point are equal.

5x + 1 = 6x - 3 Add 3 to both sides

5x + 1 + 3 = 6x -3+3 Combine

5x + 4 = 6x Subtract 5x from both sides.

5x-5x+4=6x- 5x Combine

4 = x

===================

y + 10 = 4y + 2 Subtract y from both sides

y-y+10=4y-y+2 Combine

10 = 3y + 2 Subtract 2 from both sides

10-2=3y+2-2 combine

8 = 3y Divide by 3

8/3 = y

y = 2.67

====================

Now you just put x and y into the parts that make up IK.

IK should come out to 33.68

5 0

4 years ago