Answer:
Step-by-step explanation:
Given : A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced. The mean yield of the 10 batches is 72.5% and the standard deviation is 5.8%. Assume the yields are independent and approximately normally distributed.
To find : A 99% confidence interval for the mean yield when the new catalyst is used ?
Solution :
Let X be the yield of the batches.
We have given, n=10 , 
, s=5.8%
Since the size of the sample is small.
We will use the student's t statistic to construct a 995 confidence interval.
From the t-table with 9 degree of freedom for 
The 99% confidence interval is given by,
Answer:
(1,6) & (7,0)
Step-by-step explanation:
y = -x + 7
y = -0.5(x - 3)² + 8
To solve the system, solve these two equations simultaneously
-x + 7 = -0.5(x - 3)² + 8
-x + 7 = -0.5(x² - 6x + 9) + 8
-x + 7 = -0.5x² + 3x - 4.5 + 8
0.5x² - 4x + 3.5 = 0
x² - 8x + 7 = 0
x² - 7x - x + 7 = 0
x(x - 7) - (x - 7) = 0
(x - 1)(x - 7) = 0
x = 1, 7
y = -1 + 7 = 6
y = -7 + 7 = 0
(1,6) (7,0)
Since the system has two distinct solutions, the line and the curve meet at two distinct poibts9: (1,6) & (7,0)
Answer:
There is a 20% probablity that the marble will be green :)
Step-by-step explanation:
- There are a total of 10 marbles in the bag. 4 red+4 blue+ 2green=10
- There are two green marbles out of the 10 marbles. 2/10
- 2 divided by 10 is .20 or 20%
- Therefore, there is a 20% probability that the marble will be green.
Answer:
It should be RGB that's a L
Step-by-step explanation:
Answer:
I = 2,340
Step-by-step explanation:
The formula for interest is
I = P × R × T / 100
P = $5200
R = 15%
T= 36 months; T is meant to be in years so we will convert it from months to years
1 year = 12 months
So 36 months
= 36 /12 = 3 years
I = (5200 × 15 × 3)/100
I = 234,000 / 100
I = 2,340
