Answer:
90% confidence interval: (70.41,86.89)
Step-by-step explanation:
We are given the following in the question:
Point estimate = 78.65
Margin of error, E = 8.24
Confidence level = 90%
Significance level = 10%
Formula:
Putting the values, we get,
(70.41,86.89) is the required 90% confidence interval.
So first, you have to get two of the same variables to cancel out. Let's do this for x. In order for the x's to cancel out, we could multiply the bottom problem by 2.
(2) 3x-6y=24
After multiplying all the numbers by 2, you get the equation 6x-12y=48
The set of equations is now
-6x+2y=12
6x-12y=48
Now you can add them. The x variables cancel out, so you are left with the y variable.
2y+-12y=-10y and 12+48=60
Then you would divide 60 by -10 to get y=-6.
You would plug the answer for y into one of the original equations, lets do the top one. -6x+2y=12 becomes -6x+2(-6)=12
You'd multiply the 2 and -6 to get -12 so the equation is
-6x-12=12
The negative 12 turn positive and you add to both sides to get the -6x alone.
-6x-12=12
+12=12
-6x=24
Then divide 24 by -6
X=4
(-4,-6) is your final answer.
We have 5x-9 = Y= 2x+6
⇒ 5x-9 = 2x+6
⇒ (5x-2x)+ (-9+9) = (2x-2x)+ (6+9)
⇒ 3x= 15
⇒ x=5
Plug x=5 in Y = 5x-9, we have Y= 5*(5)-9
⇒ Y=16
(x,Y)= (5,16)
Hope this would help :))
Answer:
Full bottle can fill 34 ounces water and 27.2 ounces left in the bottle
Step-by-step explanation:
Full bottle : 100%
6.8 ounces: 20%
100% / 20% = 5
Full bottle = 6.8 x 5 = 34 ounces
water remain in bottle = 34 -6.8 = 27.2 ounces
Answer:
90
Step-by-step explanation:)
To obtain 
, sum the first 4 terms, using n = 1 to n = 4
= 6
+ 6
+ 6(2)² + 6(3)³
= (6 × 1) + (6 × 2) + (6 × 4) + (6 × 8)
= 6 + 12 + 24 + 48
= 90
