x<=4
x is less than or equal to four
children less than or equal to four can ride the train for free
The probability that you can get N heads in a row would be:
Let <span>p</span> be the probability of flipping a heads. Let <span>x</span> be number of flips needed to achieve <span>h </span>consecutive heads. The solution is <span><span>E(x) = (<span><span>1−<span>p^h) / (</span></span><span><span>p^h</span>(1−p))</span></span></span></span>
This expression may be derived as follows. The probability of being successful immediately is <span><span>p^r.</span></span> However, one might get a tails immediately. In that case, the number of flips needed is <span><span>1+E(x) </span></span>(one flip has been used and we are back to the original position). We might get a heads and then a tails. In this case two flips have been used and we are back to the original position. Continue this up to <span><span>h−1</span></span> heads followed by a tails in which case <span>h</span> flips have been used and we are back to the original position.
point (6, -5) => x = 6, y = -5
r =√6² +(-5)² = √(36+25)=√61
the exact value of :
cos 0 = x/r = 6/√61 = 6/61 √61
csc 0 = r/y = √61/(-5) = -1/5 √61
tan 0 = y/x = -5/6
Answer:
AH = 1 or 4
CH = 4 or 1
Step-by-step explanation:
An altitude divides a right triangle into similar triangles. That means the sides are in proportion, so ...
AH/BH = BH/CH
AH·CH = BH²
The problem statement tells us AH + CH = AC = 5, so we can write
AH·(5 -AH) = BH²
AH·(5 -AH) = 2² = 4
This gives us the quadratic ...
AH² -5AH +4 = 0 . . . . in standard form
(AH -4)(AH -1) = 0 . . . . factored
This equation has solutions AH = 1 or 4, the values of AH that make the factors be zero. Then CH = 5-AH = 4 or 1.
Answer:
24) $495
25) 14%
26) 25/X = 83/100
27) 0.7p
28) x + .085x and 1.085x
29) $221.90
30) $24.10
31) $6.13
32) 40%
Step-by-step explanation:
24) 600 - (600 × 0.25) = 450
450 × 1.10 = 495
25) (106 - 93) ÷ 93 = 0.13978
0.13978 × 100 = 13.978 ~ 14
27) 1.0 - 0.3 = 0.7
28) 1.00 + 0.085 = 1.085
29) 100% - 15% = 85%
240 × 0.85 = 204
204 × 1.0875 = 221.85
30) 25.89 × 4 = 103.56
103.56 + 179.99 = 283.55
283.55 × 0.085 = 24.10175
31) 8.75 × 0.70 = 6.125
32) 80 - (80 × 0.40) = 48
