Answer:
f(x) = x*3/4 + 42.5
Step-by-step explanation:
The original difference between the pair is 70 - 30 = 40
The new difference between the pair is 95 - 65 = 30
Since the differences are not the same, Mrs Bailey must first perform a (slope) multiplication by a factor of 30/40 or 3/4
Then 30 * 3/4 = 22.5
Then she can shift the scores up by 65 - 22.5 = 42.5 in order to get the range from 65 to 95
Therefore, f(x) = x*3/4 + 42.5. We can test that
f(30) = 30*3/4 + 42.5 = 65
f(70) = 70*3/4 + 42.5 = 95
Answer:
37
Step-by-step explanation:
Margin of error = critical value × standard error
For 98% confidence, CV = 2.326 (from t table).
Standard error is σ / √n, where σ is the population standard deviation, and n is the sample size.
Plugging in:
5 = 2.326 × 13 / √n
n = 36.6
Rounding up, n = 37.
The answer is $12.5 for 10 bottles
Starting from the right
With the zeros
0=Ones
0=Tens
0=Hundred
6=One thousand
4=Ten thousand
Answer:
= 3n + 2
Step-by-step explanation:
The nth term( explicit formula ) of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 5 and d = 3 , then
= 5 + 3(n - 1) = 5 + 3n - 3 = 3n + 2