Answer:
Step-by-step explanation:
let the integers be x and y
x+y=-20
y=-20-x
xy=99
x(-20-x)=99
-20x-x²=99
x²+20x+99=0
x²+11x+9x+99=0
x(x+11)+9(x+11)=0
(x+11)(x+9)=0
x=-11,-9
when x=-11
-11+y=-20
y=-20=11=-9
when x=-9
-9+y=-20
y=-20+9=-11
so integers are -11,-9
Answer:

Step-by-step explanation:
Here, the given expressions are:
A) 
Solving this, we get

⇒
B) 
Now, solving this, we get

⇒
C) 
Simplifying this, we get

⇒ 
The general formula for the margin of error would be:
z * √[p (1-p) ÷ n]
where:
z = values for selected confidence level
p = sample proportion
n = sample size
Since the confidence level is not given, we can only solve for the
<span>√[p (1-p) ÷ n] part.
</span>
p = 44/70
n = 70
√[44/70 (1 - (44/70) ÷ 70]
√[0.6286 (0.3714)] ÷ 70
√0.2335 ÷ 70
√0.0033357 = 0.05775 or 0.058 Choice B.
Answer:
<em>r=3x</em>
Step-by-step explanation:
<u>The Volume of a Cone</u>
The volume of a cone of radius r and height h is:

We are given the volume of a cone is

Equating:

Multiplying by 3:

Simplifying by pi:

Since h=x:

Dividing by x:

Taking square roots:

Thus: r=3x
Answer:
3^-5 or 1/3^5(b)
Step-by-step explanation:
3⁴•3^-9
When bases are same powers are to be added
So the above expression becomes
3^4+(-9)
3^4-9
3^-5