Answer:
The y-value of P' is -10.
Step-by-step explanation:
It was given that; triangle PQR has vertices P(–2, 6), Q(–8, 4), and R(1, –2).
The translation rule is
To find the image of P, which is P', we have to substitute the coordinates of P(-2,6) to obtain;
Hence the y-value of P' is -10.
Answer:
y = 5x
Step-by-step explanation:
since y varies directly as x then the equation connecting them is
y = kx ← k is the constant of variation
to find k use the condition y = 60 when x = 12, then
k = =
= 5
y = 5x ← is the equation of variation
Answer:
We conclude that commute time in her city is less than the amount reported by the survey which is 25.4 minutes.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 25.4 minutes
Sample mean, = 22.1 minutes
Sample size, n = 15
Alpha, α = 0.10
Sample standard deviation, s = 5.3 minutes
First, we design the null and the alternate hypothesis
We use one-tailed t(left) test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.
Thus, there is enough evidence to conclude that commute time in her city is less than the amount reported by the survey which is 25.4 minutes.