<h3>Given</h3>
Two positive integers x and y
x - y = 4
x² + y = 68
<h3>Find</h3>
x and y
<h3>Solution</h3>
Add the two equations together.
... (x - y) + (x² + y) = (4) + (68)
... x² + x = 72
Rearrange to standard form and factor.
... x² + x - 72 = 0
... (x + 9)(x - 8) = 0
Use the zero product rule to find the solutions. That rule says the product is zero when one or more factors is zero.
... x + 9 = 0 ⇒ x = -9
... x - 8 = 0 ⇒ x = 8 . . . . . . the positive solution
Then we can find y from
... 8 - y = 4
... y = 4 . . . . . . . add y-4 to the equation
The two positive integers are 8 and 4.
Answer:
Radius= 5.0ft ( given)
Step-by-step explanation:
Given: Volume of cone= 50π ft^3
Height of cone= 6ft
Required: Radius
Volume of cone= 1/3 * π * r^2 *h
(or)
r^2= Volume *3/h π ( Just disintegrating the formula and taking radius^2 to the left hand side(L.H.S) )
= (50 π *3)/(6)π
= 50/2 (because, 3 π /6 π = 1/2)
r^2 = 25
now, r =√25= 5.0 ft
Therefore, the radius of the cone is 5.0 ft(to the nearest tenth) :)
Answer:
no enough evidence to draw up a conclusion
Step-by-step explanation:
Data:
let: 
= decay after 2 weeks
= decay after 16 weeks
Making the hypotheses:
Null hypothesis; 
the deviation = 0.05
the standard difference = 4
Conditions:
The normal distribution curve can be plotted on a graph and the plot shows that the distribution is a skewed distribution.
Then,
Therefore, it can be concluded that 0.1983 > 0.05. This presents our failure to reject the null hypothesis.
Thus, there is not enough evidence to conclude that polyester decays more in less than 2 weeks.
The volume is 180.32 because if u multiply those three numbers u get 180.32. Also, what do u mean by SA
