Sphere Surface Area = <span> 4 • <span>π <span>• r²
50.27 = 4 * PI * r^2
</span></span></span>
<span>50.27 / (4 * PI) = r^2
</span>
<span>
<span>
<span>
4.0003594946
</span>
</span>
</span>
= r^2
r = sq root
(<span>
<span>
<span>
4.0003594946)
radius = </span></span></span>
<span>
<span>
<span>
2.0000898716
</span>
</span>
</span>
So the diameter =
<span>
<span>
<span>
4.0001797433
</span>
</span>
</span>
or it is roughly 4 feet
Answer:
they are both corresponding angles (equal)
48=4x
48/4=x
12=x
Answer: 

Step-by-step explanation:
- A null hypothesis is a hypothesis where a researcher generally try to disprove, it says that there is no statistically significant relationship between the two variables .
- An alternative hypothesis says that there is a statistical significance between two variables.
Claim 1. : Mean age of online dating service users is 40 years.
i.e.
, since it has equals sign so we take this as null hypothesis.
Claim 2. : Mean age of online dating service users is not 40 years.
⇒ Null Hypothesis : 
Alternative hypothesis : 
Answer:
Yes
Step-by-step explanation:
Yes, 3 is a factor of 12.
The function is
f(x) = (1/3)x² + 10x + 8
Write the function in standard form for a parabola.
f(x) = (1/3)[x² + 30x] + 8
= (1/3)[ (x+15)²- 225] + 8
= (1/3)(x+15)² -75 + 8
f(x) = (1/3)(x+15)² - 67
This is a parabola with vertex at (-15, -67).
The axis of symmetry is x = -15
The curve opens upward because the coefficient of x² is positive.
As x -> - ∞, f -> +∞.
As x -> +∞, f -> +∞
The domain is all real values of x (see the graph below).
Answer: The domain is (-∞, ∞)