Answer:
The probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.
Step-by-step explanation:
The probability of a component passing the test is, P (S) = 0.79.
The probability that a component fails the test is, P (F) = 1 - 0.79 = 0.21.
Three components are sampled.
Compute the probability of the test result as SFS as follows:
P (SFS) = P (S) × P (F) × P (S)
Compute the probability of the test result as SSF as follows:
P (SSF) = P (S) × P (S) × P (F)
Thus, the probability of SFS and SSF are same, i.e. P (SFS) = P (SSF) = 0.1311.
For this problem, 0.25 in = 50 m. So
11 in = (11 in) • (50/0.25 m/in) = 2200 m
Alternatively, if 0.25 in = 50 m, that means 1 in = 200 m. So 11 in = 11 (200 m) = 2200 m.
Answer:
a) 16.66%
b) 5%
Step-by-step explanation:
a)
Since the teacher assumes each of the three possibilities are equally likely, then he assumes 33.33% to each one.
In this case the probability that you traveled to school that day by car would be
50% of 33.33% = (0.5)(0.3333) = 0.1666 = 16.66%
b)
In this case, the teacher would assume
90% ride on bicycle
0% take the bus
10% travel by car
So, in this case the probability would be
50% of 10% = (0.5)(0.1) = 0.05 = 5%
Answer:
x=5,y=3
Step-by-step explanation:
the first step is to decide whether you want to substitute y and find x, or substitute x and find y.
(it doesn't matter which way you will choose.If you do the math correctly you will get the correct answer,one way or another).
for example, let's substitute y into the first equation:
x=17-4*(x-2)
so now,we will organize the equation:
x+4x=17+8
5x=25/(÷5)
x=5
now we will substitute x with 5 in the second equation(or the first one,it doesn't matter)in order to find y:
y=5-2
y=3
-4/9 times -5/8 you can cross cancel the 4 and 8 so it makes the problem -1/9 times -5/2 which equals -5/18
