Answer:
2.083 < µ1 - µ2 < 5.917
Step-by-step explanation:
We will need to construct a 90% confidence interval for the difference of 2 means where the populations are normally distributed, and their variances are equal.
The calculations of the sample means and standard deviations are done for us.
Sample 1: Catalyst 1
n = 12, x = 85, s = 4
Sample 2: Catalyst 2
n = 10, x = 81, s = 5
See attached photo for the construction of the confidence interval...
Let the present age of student be x
Present of teacher will be 4x
After 20 years,
Age of student = x + 20
Age of teacher = 4x + 20
According to the given condition after 20 years,
x + 20 = (4x + 20)/2
x + 20 = 2x + 10
2x - x = 20 - 10
x = 10
So student's present age is 10 years while teacher's is 4 x 10 i.e 40 years.
Hope This Helps You!
Answer:
=
−
7
/1
1 in fraction form
Step-by-step explanation:
STEP 1: Multiply by 1
1
+
1
0
+
2
5
=
1
8
+
1
0
+
2
5
=
1
8 STEP 2: Combine like terms
+
1
0
+
2
5
=
1
8
1
1
+
2
5
=
1
8 STEP 3: Subtract 2
5 from both sides of the equation
11x+25=18
1
1
+
2
5
−
2
5
=
1
8
−
2
5
STEP 4: Simplify by subtracting the numbers
1
1
+
2
5
−
2
5
=
1
8
−
2
5
11x+25−25=18−25
1
1
=
1
8
−
2
5 1
1
= -7
STEP 5: Divide both sides of the equation by the same term 1
1
=
−
7 11x/
11x = −7/
1
1 (set up as a fraction) STEP 6: Cancel terms that are in both the numerator and denominator
= −
7
/1
1 SOLUTION
= −
7
/1
1
You have to multiply 8 and 2 1/2 which is 20. Then divide 20 and 200. Then you get 10 and that is your answer.
Answer: Option A) liters
Step-by-step explanation:
Liters is the standard unit of measurement for volume. Metres, on the other hand, is the standard unit of measurement for length, height, width or distance traveled.
So, since we are to me measure the amount (volume) of water in Lacie's bucket, liters is the standard unit to used.
