By looking at the graph we can see that f(x) increase by 1 (on the vertical axis . or y-axis ) from 2 to 3, over the interval 0 to 1 ( horizontal axis, or x-axis)
It increases by 2 over the interval 1 to 2.
by 4 over the interval 2 to 3.
And by 8 over the interval 3 to 4.
Therefore this exponential function grows by a factor of 2 (since it doubles every by every interval of 1)
Answer:
1) 3
2) 30
Step-by-step explanation:
To find the GCF, you find out the (prime) factors of the two numbers in question. For this question, we would find the (prime) factors that go into 6 and 15.
For the number 6, we can get 2 x <u>3</u> = 6.
For the number 15, we can get <u>3</u> x 5 = 15.
You then underline those factors that you have in common. As you can see, since there is only 1 factor underlined per number, we would have the GCF as 3. On the instance you have more than 1 number underlined, you just multiply them.
Example: 12 and 20
<u>2</u> x <u>2</u> x 3 = 12
<u>2</u> x <u>2</u> x 5 = 20
They both have 2 x 2 in common, so you would get 4 as the GCF.
Moving onto the LCM, I would find this by multiplying each number until i find something similar.
6 x 1 = 6
6 x 2 = 12
6 x 3 = 18
6 x 4 = 24
6 x 5 = <u>30</u>
15 x 1 = 15
15 x 2 = <u>30</u>
The number that is underlined is the lowest common number we have when multiplying and going up by 1, so 30 would be our answer.
A faster way you could've solved this is by knowing that you can't multiply 6 and a whole number to get 15, but you can multiply 6 and a whole number to get 30. This, however, is just prior knowledge.
Answer: 
Step-by-step explanation:
Given : The speeds of vehicles traveling on a highway are normally distributed .
Standard deviation: 
Since , sample size : 
, which is small sample (n<30) so the test applied here is a t-test.
Degree of freedom= 
Sample mean : 
Level of significance : 
Then , significance level : 
Using t-distribution table , Critical value : 
The confidence interval for population mean is given by :-
Hence, a 98% confidence interval for the population mean=
Answer:
alex has 25 counters
Step-by-step explanation:
8x4=32
32-7=25
25 is your answer
The answer is is 4.2 because the 2 rounds up to 3 and the 3 does not round up the four so four does not round up the 2 so it is 4.2
