Answer:
Rate of change = -1
Step-by-step explanation:
Given:
f(x) = -½(x + 2)² + 5
Required:
Average rate of change from x = -3 to x = 1
Solution:
Rate of change = 
Where,
a = -3,
f(a) = f(-3) = -½(-3 + 2)² + 5 = -½(-1)² + 5 = 4.5
b = 1,
f(b) = f(1) = -½(1 + 2)² + 5 = -½(9) + 5 = 0.5
Plug in the values into the formula:
Rate of change = 
Rate of change = 
Rate of change = -1
Answer:
you get a pair of red socks. There are 10 socks in the drawer, and 2 are red. Therefore the probability that the first one will be red is 2/10 = 1/5.
Step-by-step explanation:
Answer: You can use only common factor (3).
Step-by-step explanation:
12g²-27h²
3 . ( 4g² - 9h² )
Answer:
Interval for t statistic = (-1.345, 1.345)
Step-by-step explanation:
given that a random sample of size 15 is selected from a normal population. The population standard deviation is unknown.
Since population std deviation is unknown and also sample size <30, we have to use t test only for testing of hypothesis
Given it is a two tailed test at 10% significance level.
Degree of freedom = 15-1 =14
t critical value for df 14 two tailed is
1.345
Hence our test statistic should lie between
(-1.345, 1.345)
Then null hypothesis is accepted
Other wise it is rejected.
