A) The attachment shows the equation of the best-fit line. It is approximately
.. test average = 89.7 -2.93*(hours playing games)
b) The slope indicates the expected drop in test score for each hour spent playing games
c) The y-intercept is the expected test score if no hours are spent playing games.
d) The correlation coefficient is -0.92, a significant negative correlation. One might expect that hours spent playing games indicates a lack of interest in school subjects or studying, hence a likelihood that test scores will be lower.
e) The equation predicts a test score of about 75 for someone who spends 5 hours a week playing video games.
Step one, divide both sides by -2
log8(x+1)=4
if the base is 10, and the 8 is together with (x+1): (cannot tell from the way it is written)
8(x+1)=10^4=10000
x+1=1250
x=1249
if the 8 is a base,
8^4=(x+1)
x+1=4096
x=4095
3x+2=14
-2 -2
3x=12
/3 /3
X=4
Answer:
B :)
Step-by-step explanation:
Answer:
Probability that component 4 works given that the system is functioning = 0.434 .
Step-by-step explanation:
We are given that a parallel system functions whenever at least one of its components works.
There are parallel system of 5 components and each component works independently with probability 0.4 .
Let <em>A = Probability of component 4 working properly, P(A) = 0.4 .</em>
<em>Also let S = Probability that system is functioning for whole 5 components, P(S)</em>
Now, the conditional probability that component 4 works given that the system is functioning is given by P(A/S) ;
P(A/S) = {Means P(component 4 working and system also working)
divided by P(system is functioning)}
P(A/S) = {In numerator it is P(component 4 working) and in
denominator it is P(system working) = 1 - P(system is not working)}
Since we know that P(system not working) means that none of the components is working in system and it is given with the probability of 0.6 and since there are total of 5 components so P(system working) = 1 -
.
Hence, P(A/S) =
= 0.434.