Answer:
The answer is: y = 2/3x - 3
Step-by-step explanation:
Given point: (3, -1)
Given equation: y = 2/3x - 5, which is in the form y = mx + b where m is the slope and b is the y intercept.
Parallel lines have the same slope. Use the point slope form of the equation with the point (3, -1) and substitute:
y - y1 = m(x - x1)
y - (-1) = 2/3(x - 3)
y + 1 = 2/3x - 6/3
y + 1 = 2/3x - 2
y = 2/3x - 3
Proof:
f(3) = 2/3(3) - 3
= 6/3 - 3
= 2 - 3
= -1, giving the point (3, -1)
Hope this helps! Have an Awesome Day!! :-)
The volume of a cylinder can be calculated by multiplying the area of its base times the height. It is calculated as follows:
V = πr²h
V = π(8/2)²(20)
V = 1005.31 cm³
Therefore, the correct answer is option 1. Hope this answers the question. Have a nice day.
Answer:
D
Step-by-step explanation:
8 goes into 13 1 time. 13-8=5. Bring down the 2. 8 goes into 52 6 times. 52-48=4. Answer is 16 remainder 4.
Check: 16x8=128, +4 remainder equals 132.
Answer:
Step-by-step explanation:
Let x be the normal body temperature
X is N(99, sigma)
Sample mean x bar = 98.2 and s = 0.63
Margin of error = Z critical * 0.63 = 1.95 *0.63 = 1.2285
It is safe since 1.5 <1.96 critical value of z at 95%
