Answer:
6 m^2
Step-by-step explanation:
Answer:
3 girls and 4 boys
Step-by-step explanation:
Writing the number of girls in the family as g and the number of boys in the family as b,
we know that each girl has twice as many brothers as sisters. Therefore, the amount of boys in the family (b, or how many brothers each girl has) is twice the number of the amount of girls in the family (g) minus 1 (g-1) (subtract 1 because each girl's number of sisters does not include the girl herself). We can write this as
b = 2(g-1)
Next,
we know that each boy has the same amount of brothers as sisters. Therefore, the amount of boys in the family minus 1 (b-1, subtracting 1 because we don't include the boy that has the brothers) is equal to the amount of girls in the family (g). we can write this as
b-1 = g
Therefore, we have
b = 2(g-1)
b-1 = g
Plugging b-1 = g into the first equation, we get
b = 2 (g-1)
2(g-1) = 2((b-1) - 1) = b
= 2(b-1-1)
= 2(b-2)
= 2b-4
b = 2b-4
subtract 2b from both sides to make it so that only b values and their coefficients are on one side
-b = -4
multiply both sides by -1 to solve for b
b=4
Therefore, there are 4 boys in the family and b-1 = 4-1 = 3 girls in the family.
Answer:
to?
Step-by-step explanation:
Necessary and sufficient conditions for application of binomial distribution :
1. trial must be Bernoulli, i.e. exactly two outcomes (defective or not defective)
2. number of trails is known and not dependent on outcomes (2).
3. probability of each trial must be known and is constant throughout trials (3/10, with replacement)
4. all trials are random and independent of each other.
Okay so to start this problem we will calculate the amount due after the first month.
$1,200 x .145 = 174 <--- This is going to be the applied interest for the first and second payment.
Add 1,200 + 174 = 1374
Now, going into the second month the total amount left should be 2,187.90 because 3,387.90 - 1,200 = 2,187.90
We are going to have to take 1,200 for the second monthly payment. So now the total left to pay should be $987.90.
Let us calculate the actual amount of the second payment now. The added interest rate is going to be the same as the first month so once again we will pay $1374.00 this month.
The new amount paid = 1374+1374 = $2748.00
So we are going to setting up a new equation for this month since we don't have $1,200 to calculate with.
The new total due is 987.90. 987.90 x .145 = $<span>143.25
</span>So, 987.90 + 143.25 = $<span>1,131.15
</span>We are going to add up all the monthly payments with interest to calculate the total cost.
$2748.00 + 1,131.15 = $<span>3879.15
</span>
It takes 3 months to pay off the card.
The total amount paid is $<span>3879.15.
</span>
I hope this helped!
