Standard form for a parabola:
( x - h )² = 4 p ( y - k )
Vertex: ( h, k ) = ( -4, 2 )
Displacement from vertex to focus:
p = 2/8 = 1/4
( x + 4 )² = 4 · 1/4 ( y - 2 )
y = ( x + 4 )² + 2
or general form:
x² + 8 x - y + 18 = 0
Answer: 100
5
Step-by-step explanation:
a) The mean of a normal distribution is also the median. Half the population will have values above the mean. Half of 200 is 100, so ...
... 100 students will have grades above 70%.
b) 84% is 14% above the mean. Each 7% is 1 standard deviation, so 14% is 2 standard deviations above the mean. The empirical rule tells you 95% of the population is within 2 standard deviations of the mean, so about 5% of students (10 students) got grades higher than 84% or lower than 56%. The normal distribution is symmetrical, so we expect about 5 students in each range.
... about 5 students will have grades above 84%.
Answer:
5510.4
Step-by-step explanation:
Answer:
15x - 2.
Step-by-step explanation:
3x - 1 + 2x + 1 + 4x - 2 + 4x - 4 + 2x + 4
= 15x - 2.
See there is no pink
So probability of selecting a pink is 0 .
The probability of orange is 20% or 0.2
The probability of purple is 30% or 0.3
As there is no color mentioned for rest part at max probability of pink is 0.5 .
- But by now it's 0 as it's not mentioned