Answer:
--- (a)
---- (b)
Step-by-step explanation:
Given
Per ride (r) = $8
Per baseballs (s) = $6
Total = $100
Required
Represent using an equation
If 1 ride is $8.
r rides would be 8r
If 1 baseball is $6
s baseballs would be 6r.
So, total is:
Solving (b):
Value of s when r = 14
Substitute 14 for r
Solve for 6s
Solve for s
Let's first think about how many possible outcomes there are to a series of coin flips. One that will help us here is that coin flips are <em>independent</em> - the outcome of one flip has no effect on the outcome of the others. What this means is that there are two possible outcomes <em />for <em>each </em>flip: heads or tails. For an example with fewer coins, let's say we were flipping 2 instead of five.
- Flip 1 can either be heads or tails
- Flip 2 can either be heads or tails
So our possible outcomes are HH, HT, TH, and TT. There are two possible second flips <em />for <em>each</em> of the possible first flips, or 2 x 2 = 4 total combinations of flips. Notice that <em>only one </em>of those combinations has zero tails - the combination with all heads.
If we were to flip a coin 5 times, we'd have two possible fifth flips for each of the two possible fourth flips for each of the two possible third flips for... it gets pretty hairy to describe in words, but I've attached a diagram so you can see how quickly it grows out of control. There are 2 x 2 x 2 x 2 x 2 or
possible combinations of heads and tails! But, in fact, we don't even need to sort through these 32 combinations to answer our question. <em>Every</em> combination will contain at least one tail, except one: the combination which contains all heads (HHHHH). Which means the rest of the 31 must contain at least one tail.
This fact will stay the same regardless of the number of coin flips you make: <em>the number of ways that contain at least one tail will always be the total number of combinations minus one (the case where all of the flips are heads).</em>
Answer:
x = 13
Step-by-step explanation:
using the Pythagorean theorem
x² = 85² - 84²
x² = 7225 - 7056 = 169
x = 13
Answer:
A. 340 grams
Step-by-step explanation:
My brain
Answer:
Option B.
Step-by-step explanation:
If the cost of the house (y) is in thousands and area of the house is x ft².
Cost of the house is modeled by the equation given,
y = 0.06x + 60.5
By substituting the values in the line of best fit,
235 = 0.06x + 60.5
0.06x = 235 - 60.5
0.06x = 174.5
x = 
x = 2908.33 ft²
x ≈ 2900 ft²
Therefore, Option B will be the correct answer.
