Answer:
an=a1+d(n−1) a n = a 1 + d ( n - 1 )
Step-by-step explanation:
This is an arithmetic sequence since there is a common difference between each term. In this case, adding −5 to the previous term in the sequence gives the next term. In other words, an=a1+d(n−1) a n = a 1 + d ( n - 1 ) .
Answer:
76
Step-by-step explanation:
180-24=156
156÷3=52
52+24=76
Answer: the total cost of the meal is
$17.7415
Step-by-step explanation:
The original cost of the breakfast $10.25 and the original cost of the coffee is $3.45. This means that the total cost of the breakfast and the coffee was
10.25 + 3.45 = $13.7
You leave a 20% tip. This means that the amount of tip that you left is
20/100 × 13.7 = 0.2 × 13.7 = $2.74
The sales tax is 9.5%. This means that the amount of sales tax that you paid is
9.5/100 × 13.7 = 0.095 × 13.7 = $1.3015
Therefore, the total cost of the meal would be
13.7 + 2.74 + 1.3015 = $17.7415
Answer:
Step-by-step explanation:
We are looking for the probability that (-1.10 < z < -.36)
The z score for -1.10 = .13567 and
the z score for -.36 = .35942
To find the probability that z will fall in between them, subtract the smaller from the larger to get .2237, or 22.37%
Answer:
Step-by-step explanation:
If we are given a function <em>f</em> and we want to shift it <em>a</em> units horizontally, the resulting function will be f(<em>x</em> - <em>a</em>), where a positive <em>a</em> is a shift rightwards and a negative <em>a</em> is a shift leftwards.
We have the function:
And we want to shift it two units to the left.
Since we want to shift it two units to the left, <em>a</em> = -2. Therefore, our new function, let's call it <em>g</em>, must be f(<em>x</em> - (-2)) or f(<em>x</em> + 2). Substitute:
Simplify. Expand:
Combine like terms. Hence: