Answer:
131.3 miles
Step-by-step explanation:
The two cars are moving from different directions. The total distance between the two cars = 118 miles + 256 miles = 374 miles.
Let us assume that the two cars meet at point O, let the distance between car c and O be d₁, the distance between car d and point O be d₂, hence:
d₁ + d₂ = 374 miles (1)
Let speed of car d be x mph, therefore speed of car c = 2x mph (twice of car d). If it take the cars t hours to meet at the same point, hence
For car c:
2x = d₁/t
t = d₁ / 2x
For car d;
x = d₂/t
t = d₂/ x
Since it takes both cars the same time to meet at the same point, therefore:
d₁/2x = d₂ / x
d₁ = 2d₂
d₁ - 2d₂ = 0 (2)
Solving equation 1 and 2 simultaneously gives d₁ = 249.3 miles, d₂ = 124.7 miles
Therefore the distance from point of meet to Boston = 249.3 - 118 = 131.3 miles
Add 3 standard deviations above and below the mean to get the range in which 99.7% of the data in a normal distribution will fall
6.5 + 4.5 = 11
6.5 - 4.5 = 2
So 2 to 11 ounces would be the interval
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➷ 3x + 1 = 511
Subtract 1 from both sides:
3x = 510
Divide both sides by 3:
x = 170
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Answer:
Option 1 and Option 4
Step-by-step explanation:
The rest are just wrong.
Surprise! It turns out that the answer is 1.
Why?!!??!
Notice this pattern when working with powers of 2:
2^0 2^1 2^2 2^3 2^4
? 2 4 8 16
Every time we increase the power we multiply by 2. Or reading the pattern backwards, every time we decrease the power we divide by 2. What is 2 divided by 2? It is 1! So 2^0 = 1 to finish the pattern:
2^0 2^1 2^2 2^3 2^4
1 2 4 8 16
Try it with 3 or with 5 or with any number! You'll see that the pattern holds!
