Answer:
(1) 56 miles/hour
Step-by-step explanation:
We need to find the average rate of change from t = 2 to t = 9.
At t = 2 hours, d = 106 miles.
At t = 9 hours, d = 498 miles.
The average rate of change in function f(x) from x = a to x = b is
[f(b) - f(a)]/(b - a)
average rate of change from t = 2 to t = 9 =
(498 - 106)/(9 - 2) = 392/7 = 56
Answer: (1) 56 miles/hour
Answer:
Step-by-step explanation:
Given that 1/4 bucket of nuts fills 2/3 of the barrel
PART A
<u>To find the amount of nuts that fills entire basket we can put this as:</u>
- 1/4 bucket → 2/3 barrel
- x bucket → 1 barrel
<u>Use cross-multiplication to find the value of x:</u>
- x×2/3 = 1×1/4
- x = 1/4 ÷ 2/3
- x = 1/4×3/2
- x = 3/8 bucket
PART B
- Using the bucket to barrel ratio to solve the problem. Having the number of required buckets as x and considering full barrel as 1 helps to find the value of x.
500 songs in his music player: + 500
every week he adds 10 songs: 10n (n is how many weeks)
equation: s = 10n + 500 (s is the total amount of songs)
after 20 weeks? : plug it in
s = (10 x 20) + 500
s = 200 + 500
s = 700
he will have 700 songs in his music player after 20 weeks
Answer:
B
Step-by-step explanation:
log4x = 2.1
logx/log4 = 2.1
logx = log(4) x 2.1
logx = 1.264
x = 10^(1.264)
x = 18.38 (to two d.p)
Answer:
The answer to the given problem is provided below.
Step-by-step explanation:
She can make the conclusion at 95% confidence level that average sales have increased:
Since the sample mean, $2,984, falls outside the range of likely sample means (which has an upper bound=$2,843.44), the store owner can reject the null hypothesis that μ≤ $2,700 μ≤ $2,700 at a 95% confidence level.
Since she can reject the null hypothesis, she can essentially accept the alternative hypothesis and conclude the average daily sales have increased.
