Answer:
C
Step-by-step explanation:
If you add 1,000 to a number 10 times, it will only increase the number by 10,000, not multiply the number by 1,000.
Answer with Step-by-step explanation:
Contain Buy Do not contain Buy Total
Spam 48 12 60
Not Spam 4 36 40
P(it contains the word buy and it is spam)=48/100
P(It is spam)=60/100
Baye's theorem states that:
P(A given B)=P(A∩B)/P(B)
P( it contains the word buy, Given that an email is spam)
=P(it contains the word buy and it is spam)/P(It is spam)
= 0.48/0.60
=0.80
Hence, Correct option is:
A.] 0.80
Answer and explanation:
There are six main trigonometric ratios, namely: sine, cosine, tangent, cosecant, secant, cotangent.
Those ratios relate two sides of a right triangle and one angle.
Assume the following features and measures of a right triangle ABC
- right angle: B, measure β
- hypotenuse (opposite to angle B): length b
- angle C: measure γ
- vertical leg (opposite to angle C): length c
- horizontal leg (opposite to angle A): length a
- angle A: measure α
Then, the trigonometric ratios are:
- sine (α) = opposite leg / hypotenuse = a / b
- cosine (α) = adjacent leg / hypotenuse = c / b
- tangent (α) = opposite leg / adjacent leg = a / c
- cosecant (α) = 1 / sine (α) = b / a
- secant (α) = 1 / cosine (α) = b / c
- cotangent (α) = 1 / tangent (α) = c / b
Then, if you know one angle (other than the right one) of a right triangle, and any of the sides you can determine any of the other sides.
For instance, assume an angle to be 30º, and the lenght of the hypotenuse to measure 5 units.
- sine (30º) = opposite leg / 5 ⇒ opposite leg = 5 × sine (30º) = 2.5
- cosine (30º) = adjacent leg / 5 ⇒ adjacent leg = 5 × cosine (30º) = 4.3
Thus, you have solved for the two unknown sides of the triangle. The three sides are 2.5, 4.3, and 5.
Original
Z = X/5
Solve for X
Multiply both sides by 5
5Z = X
Answer
X = 5Z
