Answer:
car b
Step-by-step explanation:
car a = 170/4=42.5 mph
car b = 306/4=76.5 mph
We call x the 4 points-worth problems and y the 3 points-worth problems
You know that x+y = 32
4x+3y = 111
You know that the difference from the x and y is 32 so write:
x = 32-y
Substitute at x the value of 32-y
4(32-y)+3y = 111
128-4y +3y = 111
-4y+3y = 111-128
-y = -17
y = 17
Given:
Vertex ===> (h, k) (2, 4)
The parabola passes through the point: (x, y) ==> (3, 6)
Let's find the equation of a parabola.
To find the equation, use the general equation of a parabola with vertex (h, k):
Where:
(h, k) ==> (2, 4)
(x, y) ==> (3, 6)
Substitute values into the general equation:
Subtract 4 from both sides:
Substitute 2 for a, and input the values of the vertex (h, k) in the general vertex equation:
Therefore, the equation of the parabola is:
ANSWER:
Answer: 68% of light bulbs last between 1765 hours and 1835 hours.
Step-by-step explanation:
The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
From the information given, the mean is 1800 hours and the standard deviation is 35 hours.
1 standard deviation = 1 × 35 = 35
1800 - 35 = 1765 hours
1800 + 35 = 1835 hours
Therefore, 68% of light bulbs last between 1765 hours and 1835 hours.
Answer:
It is 60.
Step-by-step explanation:
When shapes are dilated (when they get bigger or smaller), perimeter changes linearly—in direct proportion with length. This means if the scale factor is 2, then you multiply it by 2. 2 multiplied by 30 equals 60.