Your vertex would be (-1,-5)
and your axis of symmetry is x=-1
The lest common multiple is 26. If you do multiples of each number
13:13,26
26: 26
Both of their lest common multiples would be 26
Given:
mean, u = 0
standard deviation σ = 1
Let's determine the following:
(a) Probability of an outcome that is more than -1.26.
Here, we are to find: P(x > -1.26).
Apply the formula:

Thus, we have:

Using the standard normal table, we have:
NORMSDIST(-1.26) = 0.1038
Therefore, the probability of an outcome that is more than -1.26 is 0.1038
(b) Probability of an outcome that
Step-by-step explanation:
We want to find two things-- the speed of the boat in still water and the speed of the current. Each of these things will be represented by a different variable:
B = speed of the boat in still water
C = speed of the current
Since we have two variables, we will need to find a system of two equations to solve.
How do we find the two equations we need?
Rate problems are based on the relationship Distance = (Rate)(Time).
Fill in the chart with your data (chart attached)
The resulting speed of the boat (traveling upstream) is B-C miles per hour. On the other hand, if the boat is traveling downstream, the current will be pushing the boat faster, and the boat's speed will increase by C miles per hour. The resulting speed of the boat (traveling downstream) is B+C miles per hour. Put this info in the second column in the chart. Now plug it into a formula! <u>Distance=(Rate)(Time) </u>Now solve using the systems of equations!
Answer:
The correct answer is b.)
Step-by-step explanation:
Given:
Sequence -7, -4, -1, 2, 5....... => a₁ = -7, a₂ = -4, a₃ = -1, a₄ = 2 and a₅ = 5
We conclude that this sequence is arithmetic series.
First we must find difference d:
d = a₂ - a₁ = a₃ - a₂ = -4 - (-7) = -1 - (-4) = -4 + 7 = -1 + 4 = 3
d = 3
The formula for n-th term of the arithmetic series is:
aₙ = a₁ + (n-1) d
aₙ = -7 + (n-1) 3
God with you!!!