Answer:
The 90% confidence interval for population mean is 
Step-by-step explanation:
From the question we are told that
The sample mean is 
The confidence level is 
The sample size is 
The standard deviation
Now given that the confidence level is 0.90 the level of significance is mathematically evaluated as
Next we obtain the critical value of 
from the standardized normal distribution table. The values is 
The reason we are obtaining critical values for instead of that of 
is because represents the area under the normal curve where the confidence level 1 - (90%) did not cover which include both the left and right tail while is just considering the area of one tail which is what we required calculate the margin of error
Generally the margin of error is mathematically evaluated as
substituting values
The 90% confidence level interval is mathematically represented as
substituting values
(y2-y1)/(x2-x1) (-3 - (-8))/(6- (-5))= 5/11
Answer:
it's 20 I hope it will help you please follow me
1. The problem says that the television has a rectangular shape. So, the formula for caculate the area of a rectangle is:
A=LxW
"A" is the area of the rectangle (A=3456 inches²).
"L" is the the length of the rectangle.
"W" is the width of the rectangle.
2. The <span>width of the screen is 24 inches longer than the length. This can be expressed as below:
W=24+L
3. Then, you must substitute </span>W=24+L into the formula A=LxW:
<span>
</span>A=LxW
<span> 3456=L(24+L)
3456=24L+L</span>²
<span>
4. The quadratic equation is:
L</span>²+24L-3456=0
5. When you solve the quadratic equation, you obtain:
L=48 inches
6. Finally, you must substitute the value of the length, into W=24+L:
W=24+L
W=24+48
W=72 inches
7. Therefore, the dimensions of the screen are:
L=48 inches
W=72 inches<span> </span>
Answer:
Step-by-step explanation:
distribute 5 in parenthesis means you multipy each term by 5
5*1-5*2 g+5*4h = 5-10g+20h
