Answer:
Function is always a relation because otherwise an equation could not be written about its spread behavior.
Function cannot have two ys to an x. So, a relation is not always a function.
Step-by-step explanation:
Answer:
4.50
Step-by-step explanation:
sin 40°= opposite/hypotenuse
sin 40°= opp/7
0.6428= opp/7
multiply both sides by 7

4.4996= opp
to nearest hundredth = 4.50
Answer: 0.1359
Step-by-step explanation:
mean = $400
Standard deviation = $50
Since the wages is normally distributed , the first thing is to find the z - score.
z = 
finding the z - value for 300 and 350 , we have
z =
z = 
2 = -2
also
z = 
z = 
z = -1
The next thing is to check the calculated value on z - table.
From z - table :
P (z
-2 ) = 0.0228
P ( z
) = 0.1587
combining the two
P ( -2
z
-1 ) = 0.1587 - 0.0228
P ( -2
z
-1 ) = 0.1359
Therefore , the the probability that a worker
selected at random makes between
$300 and $350 = 0.1359
Answer:
<h2>19.95 ≅ 20 boards will be required.</h2>
Step-by-step explanation:
The pieces have to be
=
feet long.
A total number of 38 pieces are needed to cut.
In order to make 38 pieces total required length is
=
= 199.5
1 board is 10 feet long, hence total requirement of board is
= 19.95
Answer: B) Circle
<u>Step-by-step explanation:</u>
First, complete the square:
x² + 2x + <u> 1 </u> + y² - 8y + <u> 16 </u> = 13 + <u> 1 </u> + <u> 16 </u>
↓ ↑ ↓ ↑
(2/2) = (1)² (-8/2) = (-4)²
(x + 1)² + (y - 4)² = 30
The result is a circle whose center is (-1, 4) and radius is √30