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Answer:
1) When r = 2, M = 20.
2) When M = 540, r = 6.
Step-by-step explanation:
M is a directly proportional to r cubed
This means that the equation for M has the following format:
In which a is a multiplier.
When r=4 M=160.
We use this to find a. So
So
1) work out the value of M when r=2
When r = 2, M = 20.
2) work out the value of r when M=540
When M = 540, r = 6.
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)
Answer:
3
Step-by-step explanation:
I'm guessing this is addition so....
15-12= 3
Or
12+_=15
_=3
12+3=15
Answer:
1. q = 3
2. w = 9
Step-by-step explanation:
1.
-2q - 5 = -11
Add 5 to both sides:
-2q - 5 + 5 = -11 + 5
-2q = -6
Divide both sides by 2:
-2q ÷ 2 = -6 ÷ 2
-q = -3
Divide both sides by -1:
-q ÷ -1 = -3 ÷ -1
q = 3
2.
w/3 + 2 = 5
Subtract 2 from both sides
w/3 = 3
Multiply both sides by 3:
w = 9
-Chetan K