If you would like to solve the system of equations 5x + 4y = 12 and 3x - 3y = 18 using elimination, you can do this using the following steps:
<span>5x + 4y = 12 /*3
3x - 3y = 18 /*4
_____________
15x + 12y = 36
12x - 12y = 72
_____________
15x + 12y + 12x - 12y = 36 + 72
15x + 12x = 36 + 72
27x = 108
x = 108/27
x = 4
</span><span>3x - 3y = 18
</span>3 * 4 - 3y = 18
12 - 3y = 18
12 - 18 = 3y
3y = -6
y = -6/3
y = -2
(x, y) = (4, -2)
The correct result would be: x = 4 and y = -2.
Answer: a) Length of wire to replace old one=9ft
b) Length of wire=3.09ft
Leftover wire=0.91ft
Step-by-step explanation: from the right angle triangle, Tan&=20/15
&=53.13°
Length of wire,x=cos 31.13=x/15
15cos31.13
X=9
b) Tan&=10/6
Tan^-110/6
&=59.05
Length= 6cos59.04
X=3.09
4-3.09=.91= leftover wire
Answer:
<u>Domain:</u>
The domain of this can be any value between 0 to 565 miles per hour
<u>Range:</u>
The reasonable range can be the distance traveled which can be from 0 to 13,560 miles (no plane travel is longer than 24 hours, we assume).
Step-by-step explanation:
Domain is the input, set of x values for the function.
Range is the output, set of y values for the function.
This isn't a function essentially, but it is given that an Airplane travels at 565 miles per hour.
<em>We can say that the domain will be the speed of the airplane and the range would be the distance it travels.</em>
<em />
<u>Domain:</u>
The domain of this can be any value between 0 to 565 miles per hour
<u>Range:</u>
The reasonable range can be the distance traveled which can be from 0 to (565*24=13,560 miles) 13,560 miles (no plane travel is longer than 24 hours, we assume).
Answer:

Step-by-step explanation:
Let
be the average of the sample, and the population mean will be
We know that:
gr
Let
be the standard deviation and n the sample size, then we know that the standard error of the sample is:

Where


In this case we are looking for:

This is:
or 

Now we get the z score



Looking at the tables for the standard nominal distribution we get


Answer:
1
6
4
10
14
18
8
16
12
4
6
8
10
12
14
16
18
26
Step-by-step explanation: