Y = mx + b
m = (0 - -5)/(6 - 3) = 5/3
y = 5/3x + b
0 = 5/3(6) + b
b = -10
(y = 5/3x - 10)3
3y = 5x - 30
3y - 5x = -30
5x - 3y = 30
You have invested 1200 dollars in your mutual fund and now gained 1333 dollars. First let's solve how much money added to your investment.
=> 1333 - 1200 = 133 dollars was added to your account
=> 133 / 1200 = 0.11
Next, lets convert this to decimal value.
=> 0.11 * 100% = 11% was added to you investment.
Answer:
Step-by-step explanation:
given that we are interested in finding out the proportion of adults in the United State who cannot cover a $400 unexpected expense without borrowing money or going into debt.
Sample size = 765
Favour = 322
a) The population is the adults in the United State who cannot cover a $400 unexpected expense without borrowing money or going into debt
b) The parameter being estimated is the population proportion P of adults in the United State who cannot cover a $400 unexpected expense without borrowing money or going into debt.
c) point estimate for proportion = sample proporiton = 
d) We can use test statistic here as for proportions we have population std deviation known.
d) Std error = 0.01785(
Test statistic Z = p difference / std error
f) when estimated p is 0.50 we get Z = -4.43
g) Is true population value was 40% then
Z = 1.17 (because proportion difference changes here)
Step-by-step explanation:
(i)
m <em>L</em><em> </em>BOC = 2× m <em>L</em><em> </em>BAC = 2×56 = 112°
(ii)
m <em>L</em><em> </em>BCA = m <em>L</em><em> </em>BAT = 75°
m <em>L</em><em> </em>OCB = (180°-112°)/2 = 68°/2 = 34°
so, m <em>L</em><em> </em>OCA = 75°-34° = 41°