Answer:
Solution given:
length[a]=3cm
base(b)=7cm
hypotenuse [c]=?
we have
by using Pythagoras law
a²+b²=c²
3²+7²=c²
c=√58=7.61m
<u>the length of the hypotenuse is 7.61</u><u> </u><u>o</u><u>r</u><u> </u><u>7</u><u>.</u><u>6</u><u> </u><u>o</u><u>r</u><u>8</u><u>m.</u>
x=11
the angles are congruent so 6x-10=56
6x=66
x=11
Let's turn 3 hours and 3 minutes into minutes.
One hour=60×3=180+3=183
So, there's 183 minutes in 3 hours and 3 minutes. We need to divide 26.2 miles by 183.
26.2÷183≈ 0.143
So, Sally ran 0.143 miles every minute.
set x=0 to get insights.
at x=0 to the functions are
-2(0-2)²+3 = -5
-2(0+2)²-3 = -11
-2(0-2)²+3 = -5
-2(0-2)²-3 = -11
weird, for some reason option 1 and 3 seem to be the same, maybe that's an accident by the author.
maybe a + was intended inside the parentheses, dunno.
option 1 and 3 seem fine, although I think there is an error in the options. they shouldn't be exactly the same
Answer:
(a) The probability of getting someone who was not sent to prison is 0.55.
(b) If a study subject is randomly selected and it is then found that the subject entered a guilty plea, the probability that this person was not sent to prison is 0.63.
Step-by-step explanation:
We are given that in a study of pleas and prison sentences, it is found that 45% of the subjects studied were sent to prison. Among those sent to prison, 40% chose to plead guilty. Among those not sent to prison, 55% chose to plead guilty.
Let the probability that subjects studied were sent to prison = P(A) = 0.45
Let G = event that subject chose to plead guilty
So, the probability that the subjects chose to plead guilty given that they were sent to prison = P(G/A) = 0.40
and the probability that the subjects chose to plead guilty given that they were not sent to prison = P(G/A') = 0.55
(a) The probability of getting someone who was not sent to prison = 1 - Probability of getting someone who was sent to prison
P(A') = 1 - P(A)
= 1 - 0.45 = 0.55
(b) If a study subject is randomly selected and it is then found that the subject entered a guilty plea, the probability that this person was not sent to prison is given by = P(A'/G)
We will use Bayes' Theorem here to calculate the above probability;
P(A'/G) =
=
=
= <u>0.63</u>