Find the solution to the system of equations.<br> x + y + z = 11<br> y + z = 12<br> Z= 8

Pie

i think the integer would be -$24.00 because you get $24 taken off the price of the discounted item

5 0

3 years ago

Quick! Andrew has to play 15 games in a chess tournament. At some point during the tournament he has won half of the games he ha

nikklg [1K]

$x$ - the number of the games he played

$\dfrac{x}{2}$ - the number of the games he won

$\dfrac{x}{3}$ - the number of the games he lost

$x=\dfrac{x}{2}+\dfrac{x}{3}+2\Big|\cdot6\\6x=3x+2x+12\\x=12$

$15-12=3$

<u>so, he has still 3 games to play</u>

3 0

3 years ago

The data shown represent the number of runs made each year during Bill Mazeroski’s career. Check for normality.

const2013 [10]

Answer:

The given data is not normal.

Step-by-step explanation:

We are given the following data:

30, 59, 69, 50, 58, 71, 55, 43, 3, 66, 52, 56, 62, 36, 13, 29, 17, 31

Condition for normality:

Mean = Mode = Median

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

$Mean =\displaystyle\frac{800}{18} = 44.44$

Mode is the most frequent observation of the data.

Since all the value appeared once, there is no mode.

$Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}$

Sorted data: 3, 13, 17, 29, 30, 31, 36, 43, 50, 52, 55, 56, 58, 59, 62, 66, 69, 71

Median =

$=\dfrac{9^{th}+10^{th}}{2} = \dfrac{50+52}{2}=51$

Since the mean, mode and median of data are not equal, the data is not normal.

7 0

3 years ago

Can someone please help me with 17a

ratelena [41]

Answer:

r=8.74038744 m
and surface area=1303.76211 m2

Step-by-step explanation:

7 0

2 years ago

Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′.

nikdorinn [45]

The new coordinates of the dilated polygon would have coordinates at M'(1.6, 3.2) and N'(3.2, 4).

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Dilation is the increase or decrease in the size of a figure by a scale factor.

Given that Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin. If point M(2, 4) and N(4, 5). The new coordinates would be at M'(1.6, 3.2) and N'(3.2, 4).

The new coordinates of the dilated polygon would have coordinates at M'(1.6, 3.2) and N'(3.2, 4).

Find out more on equation at: brainly.com/question/2972832

#SPJ1

3 0

2 years ago

Find the solution to the system of equations. x + y + z = 11 y + z = 12 Z= 8