Answer: d
Step-by-step explanation:
The probability of not being purple is the probability of the three other colors. Suppose the number of purple marbles is x. Then we have 20+30+40+x = 90 + x marbles. Then the probability of not being purple is 90/(90+x). If this fraction can have a lowest term for some value of x, then the numerator of this lowest term must be a factor of 90.
Checking through the options, only option D has a non-factor of 90 as its numerator.
Answer:
A ∩ B = The empty set
A U C = {x│x < 1 or x = 5}
B ∩ C = {x│x=5}
Answer:
HD = 10.5
Step-by-step explanation:
Given BH = 3, GH = 2, BF = 10
Step 1: To find HF:
HF = BF – BH
HF = 10 – 3
HF = 7
Step 2: To find HD:
We know that if two chords intersects inside a circle, the product of the lengths of the segments of one chord equals the product of the lengths of the segments of the other chord.
⇒ GH × HD = BH × HF
⇒ 2 × HD = 3 × 7
⇒ HD = 10.5
Hence, the value of HD = 10.5.
I hope this helps a little bit.
Answer:
Yes
Step-by-step explanation:
First, see how much money you have:
10 + 3(5) + 8(1) + 12(0.25) + 5(0.1) + 10(0.05) =
10 + 15 + 8 + 3 + 0.5 + 0.5 =
37
You need to deposit $7 into the safe, since 37 - 7 = 30.