Answer: His usual average = 28.
Step-by-step explanation:
Let x = usual average at the basketball game tonight.
As per given,

Subtract 10 from both sides , we get

Hence, his usual average = 28.
Let's name the three consecutive even numbers n, n+2, and n+4. We know that their sum will be divisible by 2 because they are all even, so we can set x = n/2, and say that x + x+1 + x+2 = 48/2 = 24. Then, we can solve for 3x + 3 = 24, 3x = 24-3 = 21, and x = 21/3 = 7.
Final answer: n/2 = 7, so n = 14, so n+4 (the greatest number) is 14+4 =
18.
<span> ϕ = (1+√5)/2 ≈ 1.618
10.4 * ϕ ≈ 16.8
10.4 / ϕ ≈ 6.4
Answer: b </span>
The tree diagram is constructed and attached below in the image.
First we have to make a choice out of 3 subjects, so the probability of choosing art as the first subject is 1/3.
Once we have chosen art as the first subject, we have two choices. So the probability of choosing each option now is 1/2. Thus, the probability of choosing math, science is 1/2.
The probability of choosing the projects in order of art, math, science = 1/3 x 1/2 = 1/6
Therefore, the probability that the projects are in order of art, math, science is 1/6 (one over 6). So first option gives the correct answer.
Use the formula for the surface area of a right cone:

Where 'r' is the radius and 's' is the slant height, plug in what we know(use 3.14 to approximate for pi):

Multiply and simplify exponent:

Multiply:

Add, round to the nearest whole number: