4a. 99m + 81 = 130m. 4b. 40 + 30z = 70z
5a. 24v + 18 = 41v. 5b. 12c + 16 = 28c
6c. 44 + 48v= 92v. 6b. 40 + 12s = 52s.
Money= how many hours
$4= 1h
$8=2h
$12=3h
$16=4h
$20=5h
$24=6h
l hope that helps :)
Assuming simple interest (i.e. no compounding within first year), then
At 6%, interest = 10000*0.06=$600
At 9% interest = 10000*0.09 = $900
Two ways to find the ratio
method A. let x=proportion at 6%
then
600x+900(1-x)=684
Expand and solve
300x=900-684=216
x=216/300=0.72 or 72%
So 10000*0.72=7200 were invested at 6%
10000-7200=2800 were invested at 9%
method B: by proportions
Ratio of investments at 6% and 9%
= 900-684 : 684-600
=216 : 84
= 18 : 7
Amount invested at 6% = 18/(18+7) * 10000 = 0.72*10000 = 7200
Amount invested at 8% = 7/(18+7)*10000=0.28*10000=2800
The commutative property is when you change the order but not the answer. To better understand what they are asking you, let's let x=1- 6 * 2 * 1=12; Answer A wouldn't be right because there are no 6,2, or x's. Remember you just change the ORDER not the GROUPING so Answer B is wrong too. Now Answer C and Answer D are left. Now you just need to look at the signs. 6(2) just means 6 TIMES 2 so pick the option with multiplication. So your answer is C. Hope I helped!
Answer:
0.070
Step-by-step explanation:
Y = number on trial
Y has a negative binomial distribution
r = 3
P = 30% = 0.3 probability of positive indication.
P(Y = 11) probability of 11 employees that must be tested to get 3 positives
Y-1Cr-1*p^r*q^(y-r)
Y-1 = 11-1 = 10
r-1 = 3 -1 = 2
10C2 x 0.3³x0.7⁸
45x0.027x0.05764801
= 0.070
This is the probability that 11 employees must be tested to get 3 positives.
