Answer: Distributive because 6 has to be multiplied by x and 7
Answer:
Beto and Mark
Step-by-step explanation:
When you simplify Beto's equation, you get 0=5 which is inncorrect. 5 does not equal 0 so there are no solutions. When you simplify Mark's equation, you get 6=2 which is also inncorrect. 6 can not equal 2. If you solve the other 2 equations you get answers that can work.
Answer:
a). 0.294
b) 0.11
Step-by-step explanation:
From the given information:
the probability of the low risk = 0.60
the probability of the high risk = 0.40
let
represent no claim
let
represent 1 claim
let
represent 2 claim :
For low risk;
so,
= (0.80 * 0.60 = 0.48),
= (0.15* 0.60=0.09),
= (0.05 * 0.60=0.03)
For high risk:
= (0.50 * 0.40 = 0.2),
= (0.30 * 0.40 = 0.12) ,
= ( 0.20 * 0.40 = 0.08)
Therefore:
a), the probability that a randomly selected policyholder is high-risk and filed no claims can be computed as:




b) What is the probability that a randomly selected policyholder filed two claims?
the probability that a randomly selected policyholder be filled with two claims = 0.03 + 0.08
= 0.11
Answer:
X = 0, π/2 in the interval [0, 2pi).
Step-by-step explanation:
Use the auxiliary angle method:
R sin(x + a) = Rsin x cos a + Rcos x sin a = 1
sin x + cos x = 1
Comparing coefficients:
R cos a = 1 and R sin a = 1, so
tan a = R sin a / R cos a = 1
So a = π/4 radians.
Also R^2(sin^2 a + cos^2 a) = 1^2 + 1^2 = 2
Therefore R = √2.
So √2 sin (x +π/4 = 1
sin x + π/4 = 1/√2
x + π/4 = π/4
x = 0 radians
Also
x = 0 + π/2 = π/2.
Answer:
Benjamin travels 7 meters in 100 seconds.
Step-by-step explanation:
We are given the following in the question:
Circumference of tire = 2.8 m
Revolution of time = 1.5 times per minute.
Total time = 100 seconds.
We have to calculate distance covered by Benjamin.
Total number of revolution of tires =

Total distance covered by Benjamin =

Thus, Benjamin travels 7 meters in 100 seconds.