Answer:
3.14
Step-by-step explanation:
Given that:
Mean weight (m) = 79 ounces
Population standard deviation (s) = 13.1
Sample size = 47
Maximal margin of error associated with 90% confidence interval.
The margin of error is given by:
Zcritical * (standard deviation / sqrt(sample size)
Z critical at 90% confidence interval = 1.645
Hence,
Zcritical * (standard deviation / sqrt(sample size)
1.645 * 13.1 / sqrt(47)
1.645 * (13.1 / 6.8556546)
1.645 * 1.9108313
Hence, the margin of error is :
3.1433174885
= 3.14
Answer:
A ( -2 , 9 )
Step-by-step explanation:
<u>Idea:</u> You find the first derivative of f(x), and then set it equal to the desired slope. You'll find some x. That we will use to find the point.
f'(x) = 3x^2 + 12x + 20
f'(x) = 8
3x^2 + 12x + 20 = 8
3x^2 + 12x + 12 = 0
3 ( x^2 + 4x + 4 ) = 0
3 ( x + 2 )^2 = 0
x + 2 = 0
x = -2
So, the desired point is:
A ( -2, f(-2) ) --> A ( -2 , 9 )
Answer:
The correct option is A
The missing number is 34
Explanation:
By inspection, the third number is obtained by adding the two preceding numbers.
1 + 1 = 2
The next number is obtained by adding the two preceding numbers.
2 + 1 = 3
This continues as:
3 + 2 = 5
8 + 5 = 13
13 + 8 = 21
21 + 13 = 34
Answer:
Step-by-step explanation:
3/5 + 1/3
taking lcm we get 15
=<u> 3 * 3 + 1 * 5</u>
15
= <u>9 + 5</u>
15
=14/ 15
Answer:
=4
Step-by-step explanation: