Answer: (97.63, 99.77)
Step-by-step explanation:
Given the data:
99.6 99.7 97.9 98.6 97.7
Using calculator, we can obtain the mean and standard deviation of the sample data:
Mean(m) = 98.7
Standard deviation = 0.93
Sample size (n) = 5
Using the relation to find confidence interval :
Mean ± Zcrit * (s/√n)
Zcrit at 99% = 2.576
98.7 ± 2.576 * (0.93 / √5)
Lower limit : 98.7 - (2.576 * 0.4159086) = 97.6286194464 = 97.63 ( 1 decimal place)
Upper limit : 98.7 + (2.576 * 0.4159086) = 99.7713805536 = 99.77 ( 1 decimal place)
(97.6, 99.8)
(12-6i)-(-3-8i). First you have to combine like terms, to do that remove the parenthesis: 12-6i-3+8i (because there is a - in front of the second parentheses the signs inside change). Now combine like terms: 9+2i. So your answer is 9+2i :)
To solve this problem you must follow the proccedure shown below:
1. You have that <span>the pasture must contain 128 square meters and no fencing is required along the river. Then:
A=LxW
A is the area
L is the lenght
W is the width
2. Let's clear W:
W=A/L
W=128/L
3. The formula of the perimeter is:
P=2L+W
P=2L+(128/L)
4. Now, you must derivate:
dP/dL=0
2+(128/L</span>²)=0
<span> L=8 meters
W=A/L
W=128/8
W=16 meters
</span>
Answer:
1/4
Step-by-step explanation:
numbers > 3 are 4,5,6
number of numbers >3=3(4,5,6)
probability=3/6=1/2
probability of drawing a head=1/2
reqd. probabilty=1/2*1/2=1/4
Answer:
43.75 percent decrease
Step-by-step explanation:
caslan?