Answer:
Step-by-step explanation:
The vertex is either the highest point on the parabola or the lowest point. We have a positive parabola, so the vertex is a low point. It sits at (2, -4). Locate that point and see what I mean by the lowest point on the parabola.
Answer:
i can try this!
Step-by-step explanation:
first thing to remember.....
the probability of anything can never be zero!
A - would definitely be very low ...probably less than 1% but not zero
b - would be almost 100%...not quite 100 as we dont know how deep is the water
c - around 50% over a given period
d - 25% over time
e - count the number of people in your class then divide by 100 this is your percentage chance
f - 50% over time
g - somewhere very close to zero ...but not quite zero
Answer:
4.1
Step-by-step explanation:
1.8 x 0.5 = 0.9
0.5 x 0.5 = 0.25
2(0.9 + 0.9 + 0.25) = 2(1.8 + 0.25) = 2(2.05)
2 x 2.05 = 4.1
Therefore the answer is 4.1
I hope that was helpful!
Answer:
The statement that "the margin of error was given as
percentage points" means that the population proportion is estimated to be with a certain level of confidence, within the interval
; where
is likely to contain the true population percentage of people that prefer chocolate pie.
Step-by-step explanation:
The margin of error for proportions is given by the following formula:

Where:
is the critical value that corresponds to the confidence level; the confidence level being
,
is the sample's proportion of successes,
is the size of the sample.
In this exercise we have that
and that the margin of error is 0.05.
Therefore if we replace in the formula to calculate the confidence interval we get:

Which means that the true population proportion is estimated to be, with a certain confidence level, within the interval (0.09, 0.19).
Answer:
Option C
Step-by-step explanation:
From the picture attached,
In ΔABC,
m∠BAC + y° = 180° [Linear pair of angles are supplementary]
m∠BAC = 180° - y°
m∠ABC = x° [Vertically opposite angles]
m∠ACB = z° [Vertically opposite angles]
By triangle sum theorem,
m∠BAC + m∠ABC + m∠ACB = 180°
(180 - y)° + x° + z° = 180°
x - y + z = 180 - 180
x - y + z = 0
Option C will be the answer.