Given g(x)=-2x-4find g(6)

In 2016, the mean number of wins for teams in Major League Baseball was 81 wins with a standard deviation of 10.7 wins. (a) The

Kay [80]

Answer:

(a) The Chicago Cubs broke the Curse of the Billy Goat by winning the World Series in 2016. Find and interpret the z-score for the Chicago Cubs, who had 103 wins in 2016.

Z score = 2.05607

Interpreting the z score, since the z score is positive, this means, the data point is to the right of the mean.

(b) The Chicago White Sox had a z-score of 20.28. Find the number of wins for the Chicago White Sox for 2016.

= 298 wins

Step-by-step explanation:

In 2016, the mean number of wins for teams in Major League Baseball was 81 wins with a standard deviation of 10.7 wins.

(a) The Chicago Cubs broke the Curse of the Billy Goat by winning the World Series in 2016. Find and interpret the z-score for the Chicago Cubs, who had 103 wins in 2016.

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

x = 103 wins, μ = 81 wins, σ = 10.7

z = 103 - 81/10.7

z = 2.05607

Interpreting the z score, since the z score is positive, this means, the data point is to the right of the mean.

(b) The Chicago White Sox had a z-score of 20.28. Find the number of wins for the Chicago White Sox for 2016.

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score

μ is the population mean

σ is the population standard deviation.

From the above question, we are asked to find the number of wins, this means we should find the raw score = x

z = 20.28, x = ? μ = 81 , σ = 10.7

Hence,

20.28 = x - 81/10.7

Cross Multiply

20.28 × 10.7 = x - 81

216.996 = x - 81

x = 216.996 + 81

x = 297.996

x is approximately 298 wins

Therefore, the number of wins for the Chicago White Sox for 2016 is approximately 298 wins

4 0

2 years ago

I’m begging you please please ASAP ASAP please ASAP thank you please please ASAP

kozerog [31]

Answer:

The ratio is $\frac{2}{3}$ .

Step-by-step explanation:

The ratio of the perimeters of Quad ABCD to Quad WXYZ = $\frac{perimeter of ABCD}{perimeter of WXYZ}$

But considering sides AB and WX,

representative factor for both figures = $\frac{12}{8}$

So that;

WX = 12

XY = 1.5 x 6 = 9

YZ = 1.5 x 7 = 10.5

WZ = 1.5 x 7 = 10.5

Thus,

perimeter of Quad ABCD = 6 + 7 + 7 + 8

= 28

perimeter of Quad WXYZ = 9 + 10.5 + 10.5 + 12

= 42

The ratio of the perimeters of Quad ABCD to Quad WXYZ = $\frac{28}{42}$

= $\frac{2}{3}$

6 0

2 years ago

1. Parallelogram WXYZ is shown on the coordinate plane ect... <br><br> Added photo plz help!!

aliya0001 [1]

Answer:

Step-by-step explanation:

12.718 units

Step-by-step explanation:

The coordinates of the vertices of parallelogram WXYZ are given to be W(0,-1), X(4,0), Y(3,-2) and Z(-1,-3).

So, the perimeter of the parallelogram will be 2(WX + XY) {Since opposite sides of parallelogram are same in length}

Now, length of WX = units, To find the units click this link :

https://tex.z-dn.net/?f=%5Csqrt%7B(-1)%5E%7B2%7D%20%2B%204%5E%7B2%7D%20%7D%20%3D%20%5Csqrt%7B17%7D%20%3D%204.123

And, length of XY = units, To find the units click this link :

https://tex.z-dn.net/?f=%5Csqrt%7B(4-3)%5E%7B2%7D%20%2B%20(0-(-2))%5E%7B2%7D%7D%20%3D%20%5Csqrt%7B5%7D%20%3D%202.236

Therefore, the perimeter of the parallelogram WXYZ = 2(4.123 + 2.236) = 12.718 units. (Answer)

5 0

2 years ago

Given: △RST ~ △VWX

tatiyna

Answer:

Given

Step-by-step explanation:

Given that: △RST ~ △VWX, TU is the altitude of △RST, and XY is the altitude of △VWX.

Comparing △RST and △VWX;

TU ~ XY (given altitudes of the triangles)

<TUS = <XYW (all right angles are congruent)

<UTS ≅ <YXW (angle property of similar triangles)

Thus;

ΔTUS ≅ ΔXYW (congruent property of similar triangles)

<UTS + <TUS + < UST = <YXW + <XTW + <XWY = $180^{0}$ (sum of angles in a triangle)

Therefore by Angle-Angle-Side (AAS), △RST ~ △VWX

So that:

$\frac{TU}{XY}$ = $\frac{US}{YW}$ (corresponding side length proportion)

4 0

2 years ago

Simpliftly(-8.5)(-5)( -2)<br><br>how do i simplify it

Darina [25.2K]

Answer:

-85

Step-by-step explanation:

(-8.5)(-5)(-2)

Multiply

(42.5)(-2)

-85

Hope this helps :)

7 0

2 years ago