Answer:
42
Step-by-step explanation:
Based on the information given, point j is the midpoint, as it is shared by both line segments. Set the equation:
pb = pj + jb
Note:
pj = 14
jb = 28
Plug in the corresponding numbers to the corresponding variables:
pb = pj + jb
pb = 14 + 28
pb = 42
pb = 42 is your answer.
~
Answer:
90% CI expects to capture u 90% of time
(a) This means 0.9 * 1000 = 900 intervals will capture u
(b) Here we treat CI as binomial random variable, having probability 0.9 for success
n = 1000
p = 0.9
For this case, applying normal approximation to binomial, we get:
mean = n*p= 900
variance = n*p*(1-p) = 90
std dev = 9.4868
We want to Find : P(890 <= X <= 910) = P( 889.5 < X < 910.5) (integer continuity correction)
We convert to standard normal form, Z ~ N(0,1) by z1 = (x1 - u )/s
so z1 = (889.5 - 900 )/9.4868 = -1.11
so z2 = (910.5 - 900 )/9.4868 = 1.11
P( 889.5 < X < 910.5) = P(z1 < Z < z2) = P( Z < 1.11) - P(Z < -1.11)
= 0.8665 - 0.1335
= 0.733
Answer:
1. No vertical compression or stretching but will open up downward.
2. 1/4 vertical stretch
3. 4 vertical compression
Step-by-step explanation:
Any time your dealing with vertical stretching or compression it will always be the number before the parentheses.
So in 1. it is - or basically -1 which means the parabola will be open up downward. And in this problem there is no stretching or compression
2. Is the 1/4 is a vertical stretch
3. 4 is a vertical compression.
Or what also could help is when the number before the parentheses is bigger such as number 4 the closer together the parabola will be. And the smaller the number like 1/4 the wider the parabola will be.
