Answer:
0.8397
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the cards are chosen is not important. Also, they are drawn without replacement. So we use the combinations formula to solve this question.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
What is the probability that at least one of the cards drawn is a spade?
Either none is a spade, or at least one is a spade. The sum of the probabilities of these outcomes is 1.
The standard deck has 52 cards, of which 13 are spades. So
Probability that none are spades:
Desired outcomes:
6 cards from a set of 52 - 13 = 39. So
Total outcomes:
6 cards from a set of 52. So
Probability:
Probability that at least one is a spade:
1 - 0.1603 = 0.8397
The answer is 0.8397
The given mathematical expression <span>2 (c+7)=2c+14 is an example is</span> an example of Distributive Property.
We can examine the given problem, we have 2(c+7) where 2 can be distributed to both c and 7. Then the result of distribution is 2c and 14 which the same in the opposite side.
To find the amount in the account you need to find the monthly interest and times it by the number of months since the benefactor opened the account.
Monthly interest:
to find 6% you must use the proportions:
$20,000/100% = X/6%
then cross multiply,
X= (20,000 x 6)/100 = 1200
this number is your monthly interest.
Months
Now we have to find the months in 19 years:
12 x 19 = 228
times 12 because we know that a year has 12 months and we have 19 years so we must multiply those two.
Total amount:
$1200 (monthly interest rate) x 228 (months) = $273, 600
Answer:
The answer is 52.2
Step-by-step explanation:
Xy-x=2y+1
y = 2y+1
-2y -2y
-y = 1
/-1 /-1
Y= -1
X=1/3y+5/3
X = 1/3(-1) + 5/3
X = -1/3 + 5/3
x = 4/3
Also known as 1 1/3
