Answer:
The least common denominator is 6.
Step-by-step explanation:
Not always, for example 19-32 that would answer to a negative if it was like this : 9-1 then it would be okay message me if u need more help or u dont understand
Answer:
Step-by-step explanation:
a) The formula for determining the standard error of the distribution of differences in sample proportions is expressed as
Standard error = √{(p1 - p2)/[(p1(1 - p1)/n1) + p2(1 - p2)/n2}
where
p1 = sample proportion of population 1
p2 = sample proportion of population 2
n1 = number of samples in population 1,
n2 = number of samples in population 2,
From the information given
p1 = 0.77
1 - p1 = 1 - 0.77 = 0.23
n1 = 58
p2 = 0.67
1 - p2 = 1 - 0.67 = 0.33
n2 = 70
Standard error = √{(0.77 - 0.67)/[(0.77)(0.23)/58) + (0.67)(0.33)/70}
= √0.1/(0.0031 + 0.0032)
= √1/0.0063
= 12.6
the standard error of the distribution of differences in sample proportions is 12.6
b) the sample sizes are large enough for the Central Limit Theorem to apply because it is greater than 30
<span>Let's use the quadratic formula:
2w² -</span><span><span> 20w </span>+ 50 = 0</span>
a = 2 b = -20 c = 50
x = -b +-sq root(b^2 - 4*a*c) / 2*a
x = --20 +-sq root(400 -4*2*50) / 4
x = 20 +-sq root(400 -4*2*50) / 4
x = 20 +-sq root( 0) / 4
x = 20 / 4 =5
I'd say it has one rational solution.
It does NOT have 2 solutions because the "plus / minus" section = 0.
Correct question is;
Terry is filling spherical water balloons with a faucet that puts out 100 cm³ of water per second. At that rate, it takes Terry 6 seconds to fill a balloon. What is the radius of a filled balloon?
Answer:
r = 5 cm
Step-by-step explanation:
Volume of a sphere is;
V = (4/3)πr³
It takes 6 seconds to fill the balloon when a faucet that puts out 100 cm³ of water per second.
Thus,
Volume of balloon = 100 × 6 = 600 cm³
Thus;
(4/3)πr³ = 600
r³ = (600 × 3)/4π
r³ = 143.239
r = ∛143.239
r = 5.23
Approximation to the nearest whole number gives; r = 5 cm
