She needs at least 130 points, so 130 - 75 (that she is earning from the sign up) = 65 points.
65 : 5,5 = 11,81 ≈ 12
So she has to sign up and visit he movie theatre at least 12 times to earn a movie ticket.
Answer: 0.12
Step-by-step explanation:
The expected number of accidents is a weighted average of the potential number of accidents and their probabilities:
= (0 * 0.935) + (1 * 0.03) + (2 * 0.02) + (3 * 0.01) + (4 * 0.005)
= 0.12
Answer:
see explanation
Step-by-step explanation:
Since AB and BC are perpendicular, then
∠ABC = 90° and
∠ABD + ∠DBC = ∠ABC ← substitute values
3r + 5 + 5r - 27 = 90, that is
8r - 22 = 90 ( add 22 to both sides )
8r = 112 ( divide both sides by 8 )
r = 14
Hence
∠ABD = 3r + 5 = (3 × 14) + 5 = 42 + 5 = 47°
∠DBC = 5r - 27 = (5 × 14) - 27 = 70 - 27 = 43°
Answer: f(x) = -ln(x + 1) + 3
Step-by-step explanation:
We want it to be decreasing, then we can write it, for a start, as:
f(x) = -ln(x)
Ok, now we want it to have a positive y intercept, then we can add a real number inside the logarithm, and other outside: such that f(0) = positive number.
f(x) = -ln(x + 1) + 3
Now, when x = 0 we have:
f(0) = -ln(1) + 3 = 0 + 3 = 3
Then we have a decreasing logarithmic function, with an y-intercept larger than zero.
Answer:
Version "B"
Step-by-step explanation:
All the Version "A"s are higher than Version "B"s.
