Answer:
4.71
Step-by-step explanation:
The radius of the circle is 3 and the angle of the sector is 60°.
The area of a sector is given as:

where α = central angle of sector
r = radius of circle
Hence, the area of the sector is:

The area of the sector is 4.71
Answer:
Step-by-step explanation:
Factor out (y-9)
(y-9)(2y^2 -5)
Answer: 160+(W x 3)=195-(W x 2)
Step-by-step explanation:
I'm not 100% sure this is right but it should be!
We can only look up the value in the normal distribution table if the probability of z is LESS than a certain value AND the value is positive.
If the probability of z is MORE than the value, then you need to do 1 minus the probability.
I.e. 1 - 0.93699
[0.93699 is found in the normal distribution table, searching for 1.53]
However, since the value (-1.53) is also negative, you need to do 1 minus AGAIN.
I.e. 1 - 0.93699
Since you have to do both, the answer should be obtained as follows:
1 - (1 - 0.93699) = 0.93699
Sorry for the terrible explanation :/
And apologies if anything is incorrect. Hope this helped though!
Answer:
<h3>
Solution (4, -12)</h3>
<em>None of the listed choices are a solution</em>
Step-by-step explanation:
y = 4x - 28
y = 1.5x - 18
Set the equations equal since both equal y
4x - 28 = 1.5x - 18
Subtract 1.5x from both sides
2.5x - 28 = -18
Add 28 to both sides
2.5x = 10
Divide both sides by 2.5
x = 4
---------------------
use x= 4 in either equation
y = 4x - 28
y = 4(4) - 28
y = 16 - 28
y = -12
--------------------
Solution (4, -12)