Answer:
Step-by-step explanation:
1. a) vertical stretch by a factor of 5 and
e) reflection over x-axis
2. c) reflection over the y-axis
e) horizontal shift to the right 4 units
3. c) horizontal shift
Answer:
30 ft²
Step-by-step explanation:
The formula to find the area of a rectangle is:
Length x Width
Answer:
The test statistic is t = 3.36.
Step-by-step explanation:
You're testing the claim that the mean difference is greater than 0.7.
At the null hypothesis, we test if it is 0.7 or less, that is:
At the alternate hypothesis, we test if it is greater than 0.7, that is:
The test statistic is:
In which X is the sample mean, 
is the value tested at the null hypothesis, s is the standard deviation and n is the size of the sample.
0.7 is tested at the null hypothesis:
This means that 
Survey of 35 people. From the sample, the mean difference was 0.95, with a standard deviation of 0.44.
This means that 
Calculate the test statistic
The test statistic is t = 3.36.
Find all the prime factors of the three numbers. pick up the common factors, ONCE, then pick up the non-common factors one by one, multiply the factors, the product is the least common factor.
example: the least common multiple of 6, 8, and 15
6=2*3
8=2*2*2
15=3*5
Note: do not write 8 into 4*2, because 4 is not a prime number. you have to break the number down to prime factors only.
Notice that 6 and 8 have a common factor 2, so pick up the 2;
6 and 15 have a common factor of 3, so pick up the 3.
those are the only two shared factors, so 2×3
now pick up whatever is not shared:
the two 2s for 8 and the 5 for 15 is not shared, add 2, 2, and 5 to the multiplication: 2×3×2×2×5=120
120 is the least common multiples of 6,8, and 15
this is basically how it is done. I believe you can explain better in your own words.
