Answer:
B
Step-by-step explanation:
To multiply scientific notation, multiply each part of the number.
(9 x 10)^2(2 x 10)^10 = (9*2) * (10^ 2 + 10) = 18 * 10 ^ 12
Since scientific notation can only have a digit in the ones place from 1-9. 18*10^12 becomes 1.8*10^13.
The solution is B.
Follow the formula given below.
P(Mar and Vacation) = P(vacation l march) x P(March)
So it was given above that 5% is the probability that it is March and someone's vacation.
0.05 = P(vacation l march) x ( 1/12)
1 0.05
P(vacation l march)= ------- x --------
12 1
P(vacation l march) = 0.6
So the answer is 60% probability that you will have a vacation given that the month is March.
<h3>
Answer: 28/53</h3>
Explanation:
Divide the adjacent side UQ = 28 over the hypotenuse QE = 53 to form the cosine of Q. The adjacent side is the side closest to the reference angle. The hypotenuse is always opposite the right angle.
The fraction 28/53 cannot be reduced further since 28 and 53 have no factors in common other than 1.
Answer = 16 birds
1. Write out your equations
X = birds
Y= cats
x + y = 19
2.50x + 7.50y = 62.50
2. Isolate one variable.
x + y = 19
x = 19 - y
3. Plug this in as the variable in the other equation. Then, solve.
2.5(19 - y) + 7.5y = 62.5
47.5 - 2.5y + 7.5y = 62.5
-2.5y + 7.5y = 15
5y = 15
y = 3 (cats)
4. Solve for the other variable.
We know there were 19 animals in total on Monday. Since there were 3 cats, there must be 16 birds.
5. Double check by plugging the numbers into the original equations.
16 + 3 = 19
19 = 19 (true)
2.5(16) + 7.5(3) = 62.5
40 + 22.5 = 62.5
62.5 = 62.5 (true)
1. -1
2. 7
3. 1/45( if the 9x is multiplied?)