(x-8, y+2).
When translating figures, a translation to the right subtracts from the x-coordinate (sort of the opposite of how we think of graphs that go to the right). Translations up would be adding to the y-coordinate.
Answer:
She uses 243 beads for the 5th string.
Step-by-step explanation:
In this problem, we can see a pattern. If she triples the number of beads in each of the next strings, that means that we just take the last number and multiply by 3. If the first string uses 3, then:
The second uses 9, 3 * 3 = 9
The third uses 27, 9 * 3 = 27
The fourth uses 81, 27 * 3 = 81
And the 5th uses 243, 81 * 3 = 243.
Answer: x>-4/3
Step-by-step explanation:All sides must be greater of zero:
3x+4>0
3x> -4 Divide with 3
x> -4/3
6x-1>0
6x>1 Divide with 6
x>1/6
8x+2>0
8x> -2 Divide with 8
x> -2/8
x> -1/4
Least of that numbers is -4/3= -1.3333
x> -4/3 is solution
Answer:
Step-by-step explanation:
Given that :
population Mean = 15000
standard deviation= 1200
sample size n = 100
sample mean = 16000
The null and the alternative hypothesis can be computed as follows:
Using the standard normal z statistics
z = 8.333
degree of freedom = n - 1 = 100 - 1 = 99
level of significance ∝ = 0.05
P - value from the z score = 0.00003
Decision Rule: since the p value is lesser than the level of significance, we reject the null hypothesis
Conclusion: There is sufficient evidence that the Dean claim for his graduate students earn more than average salary of $15,000
For lines to be perpendicular they would need to have opposite slopes, so for a slope of -3/7 the slope of a perpendicular line would be 7/3
