548cm tall because if you add 180 to 368 it is 548.
Answer:
The anwerss to the question are
(A) P(No less than two people use their phones while driving) = 0.1225
(B) P(The probability that no more than one person of the three people use their cell phone while driving) = 0.147875
Step-by-step explanation:
The given relations are
Percentage of motorists that routinely drive while sing their phone = 35 %
The probaboloty that if a peerson is random;ty selected from a group of hudred person routinely uses their phone wjile friving P(phone) = 35
The probability that a motorist randomly selected fron a set of 100 do not routinely use thir phones while driving = P(No celll phone) = 65
Then the probability that when three people are selected at random at least two people of the three people use their cell phone while driving is
P(phone) = 35/100m = 0.35
P(No celll phone) = 65/100 = 0.65
(A) Probability of at least two of three use their phones whle driving is
0.35×0.35×0.65 +0.35×0.35×0.35 = 0.1225
(B) The probability of only one person out of three seted use their phones while driving is
(0.35)(0.65)(0.65) = 0.147875
Answer:
Step-by-step explanation:
For the null hypothesis,
H0 : p = 0.63
For the alternative hypothesis,
Ha : p < 0.63
This is a left tailed test
Considering the population proportion, probability of success, p = 0.63
q = probability of failure = 1 - p
q = 1 - 0.63 = 0.37
Considering the sample,
Sample proportion, P = x/n
Where
x = number of success = 478
n = number of samples = 800
P = 478/800 = 0.6
We would determine the test statistic which is the z score
z = (P - p)/√pq/n
z = (0.6 - 0.63)/√(0.63 × 0.37)/800 = - 1.76
From the normal distribution table, the area below the test z score in the left tail 0.039
Thus
p = 0.039
First, note that for angles LMP and NMP you have

If
is
more than
then

Now, since
you have

Therefore,

Answer: 
Answer:
x=2, y=3.
Step-by-step explanation:
0.2x + 0.3y = 1.3
0.4x + 0.5y = 2.3
From the first equation y = (1.3 - 0.2x) / 0.3
Substituting in second equation:
0.4x + 0.5(1.3 - 0.2x) / 0.3 = 2.3
Multiply through by 0.3:
0.12x + 0.5(1.3 - 0.2x) = 0.69
0.12x + 0.65 - 0.1x = 0.69
0.02x = 0.04
x = 2.
Substituting for x in equation 1:
0.2* 2 + 0.3y = 1.3
0.4 + 0.3y = 1.3
0.3y = 1.3 - 0.4 = 0.9
y = 3.
Check in equation 2:
0.4 * 2 + 0.5(3) = 0.8 + 1.5 = 2.3.
- Correct.