Answer:
Step-by-step explanation: 2x+17=36 ⇒ 2x= -17+36 ⇒ x=8.5+18
so your answer is E
This does not appear to be a right triangle. However, we know 2 sides and the included angle, so can find the unknown side length. Let x represent this length. Then:
x^2 = (9 m)^2 + (12 m)^2 - 2(9m)(12 m)*cos 30 degrees, or
x^2 = 81 + 144 - 216(sqrt(3) / 2). Please solve for x^2 and then solve the result for x, making sure to choose the positive value. The result will be the length of the side opposite the 30 degree angle.
With 1 of 3 angles known, and 3 of 3 sides known, you can use the Law of Sines to find the other two angles. As a reminder, the Law of Sines looks like this:
a b c
-------- = --------- = ----------
sin A sin B sin C.
You can give the 30-deg angle any name you want; then a, the length of the side opposite the 30-deg angle, which you have just found. And so on.
Answer:
C
Step-by-step explanation:
think of a random K number (like 3 for example)
1/2(3) = 3/2
this equals k/2 = 3/2
Answer:
Step-by-step explanation:
Given that a loan company knows that 5% of its loans will be delinquent.
since each loan is independent of the other p , probability for any random loan to be delinquent is constant 0.05
X no of delinquent loan accounts is binomial with n =400 and p = 0.05
Since n is very large and also np = 20 and nq >5 we can approximate to normal
Mean = np = 20 : Variance = npq = 19
Std dev = 4.36
X is N(1, 4.36)
With continuity correcton we calculate the prob
a) that exactly 25 accounts will be delinquent?
=
b) that fewer than 30 accounts will be delinquent?
=P(X<29.5)
= 0.9854
c) more than 24 accounts will be delinquent
=P(X>24,5)
=0.1509
1.Since 5 is less than 8, borrow 1 from the next column to make 15.
2.Calculate 15 - 8, which is 7.
3.Calculate 3 - 3, which is 0.
4.Since 2 is less than 5, borrow 1 from the next column to make 12.
5.Calculate 12 - 5, which is 7.
6..<span>Calculate 9 - 2, which is 7.</span>
7.<span>Therefore, 102.45 - 25.38 = 77.07.</span>
