Answer:
0.912
Step-by-step explanation:
<em>The complete question is attached.</em>
<em />
"OR" in probability means "ADDITION". So we find the individual probabilities and "ADD" them.
P(Plan A) would be the total people for plan A (add up column of Plan A) divided by total number of people [add up all the numbers].
Looking at the table, we have:
P (Plan A) = 38/68
Now,
P(40-49 Group) can be found by adding up the row of 40-49 age group and dividing by the total. So, we have:
P(40 - 49 Group) = 24/68
Now, adding up both:
38/68 + 24/68 = 62/68 = 0.912
QP=24 cm
RS=11.25 cm
QS=18.75 cm
<u>Explanation</u>:
Given that TQ bisects <RTP
(1)
consider ΔRQS and ΔRPT
QS||PT,RP and RT are transversals
(alternate angles)(2)
comparing (1) and (2)
and triangle SQT is isocelus
Therefore SQ=ST(sides opposite to equal angles in an isocelus triangle)
Therefore <RQS=<RPT(corresponding angles)
<RSQ=<RTP(corresponding angles)
therefore by AA criterion for similarity
ΔRQS~ΔRPT
According to the property of similar triangles
To solve for variable h flip the equation. You get: 12gh=f. After, divide both sides by 12 to get your answer: h=f/12g
Problem
Write the slope-intercept form of the line described in the following:
Parallel to 4x + 5y=20
and passing through (12,4)
Solution>
For this case we need to have the same slope, and if we write the equation given we see:
5y = 20 -4x
y = 4 -4/5 x
then the slope m = -4/5
and we also know a point given x= 12, y= 4 and we can do the following:
4 = -4/5 (12) +b
4 = -48/5 + b
And if we solve for the intercept we got:
b= 4 +48/5= -28/5
And our equation would be given by:
y = -4/5 x -28/5
