Answer:
A) 7x^2-7x+15
Step-by-step explanation:
f(x) = 4x2 - 5x + 7,
g(x) = 3x2 - 2x + 8
f(x) +g(x) =
4x^2 - 5x + 7 + 3x^2 - 2x + 8=
7x^2-7x+15
So basically, each number is equal to the two numbers below it added together.
See, 7 = 3+4, 8 = 5 +3, etc.
So, the top would be 16 + 17.
16 + 17 = 33
So 33 goes on top.
Number of people visited per day = Number of People visited / Number of days
= 8208 People / 5 days
= 1641.6 People / day.
Answer:
The probability that the maximum speed is at most 49 km/h is 0.8340.
Step-by-step explanation:
Let the random variable<em> </em><em>X</em> be defined as the maximum speed of a moped.
The random variable <em>X</em> is Normally distributed with mean, <em>μ</em> = 46.8 km/h and standard deviation, <em>σ</em> = 1.75 km/h.
To compute the probability of a Normally distributed random variable we first need to convert the raw score of the random variable to a standardized or <em>z</em>-score.
The formula to convert <em>X</em> into <em>z</em>-score is:

Compute the probability that the maximum speed is at most 49 km/h as follows:
Apply continuity correction:
P (X ≤ 49) = P (X < 49 - 0.50)
= P (X < 48.50)

*Use a <em>z</em>-table for the probability.
Thus, the probability that the maximum speed is at most 49 km/h is 0.8340.
Area of ∆ = 1/2 times its base × height
=1/2 × 4 × 5 UNIT²
=10 unit²
Area of semicircle = πr²/2
= (3.14)(4)²/2
=25.12 unit²
Therefore area of figure= 10+25.12 unit² = 35.12 unit²
Hope it helps!