Answer:
Rebecca has 18 nickels and 27 dimes
Step-by-step explanation:
Let x be the number of nickels Rebecca has, then 45-x is the number of dimes she has.
The total value of Rebecca's coins is $3.60.
1 nickel - 5 cents
x nickels - 5x cents
1 dime - 10 cents
45-x dimes - 10(45-x) cents
Total x nickels and 45-x dimes is 5x+10(45-x) cents that is $3.60=360 cents. So,
5x+10(45-x)=360
5x+450-10x=360
5x-10x=360-450
-5x=-90
5x=90
x=18
45-x=45-18=27
Bag 1: 2R, 1B
Bag 2: 1R, 1B, 2Y
Draw 1 from each bag
a) P(same color)
We have 2/3 chance of drawing R from bag 1 and a 1/4 chance of drawing R from bag 2
P(both R) = (2/3)(1/4) = 1/6
We have a 1/3 chance of drawing B from bag 1 and 1/4 chance of B from bag 2
P(both B) = (1/3)(1/4) = 1/12
P(same color) =1/6 + 1/12 = 3/12 = 1/4
Answer: a) 1/4
b) P(exactly one R)
Same story except we look at the complement in bag 2
We have 2/3 chance of drawing R from bag 1 and a 1/4 chance of drawing R from bag 2, so a 3/4 chance of NOT drawing R.
P(1st red, second not red) = (2/3)(3/4) = 1/2
We have 1/3 chance of drawing B from bag 1, so 1/3 chance of drawing NOT red from bag 1. We have a 1/4 chance of drawing R from bag 2, so
P(1st blue, second not blue) = (1/3)(1/4) = 1/12
P = 1/2 + 1/12 = 6/12 + 1/12 = 7/12
Answer: 7/12
Answer: the only items that cost less than $3.00 per pound is the 1-2 pound column. Since only one column is applicable there is no need to add the frequency columns together. The answer then is B. 3
Answer:
answer 1, 135
Step-by-step explanation:
Ok so to find the ratio just do 12/16 = 3/4. that's your common ratio.
The formula for sum of infinite :
a / (1 - r)
a is the first term and r is the ratio
which is
16 / (1 - (3/4))
which is
16 / (1/4)
16 * 4
which is 64
