Answer:
The tip is $11.39
Step-by-step explanation:
Answer:
300
Step-by-step explanation:
3x 10 2 power
Answer:
25.05
Step-by-step explanation:
Given that a random sample of 160 car crashes are selected and categorized by age. The results are listed below. The age distribution of drivers for the given categories is 18% for the under 26 group, 39% for the 26-45 group, 31% for the 45-65 group, and 12% for the group over 65.
<26 26-45 46-65` >65
Observed O 66 39 25 30 160
Expected E 40 40 40 40 160
Chi square
(O-E)^2/E 16.9 0.025 5.625 2.5 25.05
Thus we get chi square test statistic = 25.05
Answer:
Probability that one or more people in Arbalest got a cold is 0.9987.
Step-by-step explanation:
We are given that according to a report, 11 people got colds for every 2000 people.
There are 1200 people in the town of Arbalest.
The above situation can be represented through binomial distribution;

where, n = number of trials (samples) taken = 1200 people
r = number of success = one or more people got a cold
p = probability of success which in our question is probability
that people got colds, i.e; p =
= 0.55%
Let X = <u><em>Number of people in Arbalest who got a cold</em></u>
So, X ~ Binom(n = 1200 , p = 0.0055)
Now, Probability that one or more people in Arbalest got a cold is given by = P(X
1)
P(X
1) = 1 - P(X = 0)
=
=
= 0.9987 or 99.87%
Hence, the required probability is 99.87%.
Answer:
70.5°
Step-by-step explanation:
To solve for the ladder's angle of elevation, we solve using the Trigonometric function of Cosine
= cos θ = Adjacent/Hypotenuse
Where
Adjacent = Distance of the base from the house = 10ft
Hypotenuse = Length of the ladder = 30 ft
cos θ = 10/30
cos θ = 1/3
θ = arc cos 1/3
θ = 70.528779366
Approximately = 70.5°
Therefore, the ladder's angle of elevation is 70.5°