Answer:
Step-by-step explanation:
0.5bh = 36
0.5(5b)(5h) = 25(0.5bh) = 25 × 36 = 900 sq cm
Answer:
Step-by-step explanation:
By triangle sum theorem,
Sum of interior angles of a triangle is 180°.
Therefore, measure of third angle in the larger triangle = 180° - (35° + 120°) = 25°
Similarly, measure of third angle in the smaller triangle = 180° - (25° + 120°)
= 35°
Since, measure of interior angles of larger triangle is equal to the measure of smaller triangle,
Both the triangles will be similar by AA property of similarity.
<u>Answer:</u>
The average daily balance for the month of June is 55.16
Solution:
Given, June 1st = 1223 starting balance
June 10th = 615 deposit
So these will add in the account
June 15th = withdrawal of -63
June 22nd = withdrawal of -120
These will be subtracted from the account.
We have to add the deposits and subtract the withdrawals from the starting balance to obtain the total amount.
So, the total amount deposited in June is (1223 +615-63-120) = 1655
The total days in June is 30. In 30 days, the total deposit is 1655. To calculate the average balance, we have to divide the total amount by the total number of days in the month.
So, in 1 day the deposit is 
Hence, the average daily balance for June is = 55.16
Answer:
B. 6.3%
Step-by-step explanation:
For each time that the coin is tosse, there are only two possible outcomes. Either it comes up tails, or it does not. The probability of coming up tails on a toss is independent of any other toss. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
Fair coin:
Equally as likely to come up heads or tails, so 
Probability that the first tails comes up on the 4th flip of the coin?
0 tails during the first three, which is P(X = 0) when n = 3.
Tails in the fourth, with probability 0.5. So



0.0625 * 100 = 6.25%
Rounding to the nearest tenth of a percent, the correct answer is:
B. 6.3%