Answer:
x = -3
Step-by-step explanation:
Subtract 8 from both sides to get x alone.
5 - 8 = x + 8 - 8
-3 = x
ANSWER
y = 100 + 0.25(160) - equation
y = 140 - if you needed the answer
Answer:
Option B - False
Step-by-step explanation:
Critical value is a point beyond which we normally reject the null hypothesis. Whereas, P-value is defined as the probability to the right of respective statistic which could either be Z, T or chi. Now, the benefit of using p-value is that it calculates a probability estimate which we will be able to test at any level of significance by comparing the probability directly with the significance level.
For example, let's assume that the Z-value for a particular experiment is 1.67, which will be greater than the critical value at 5% which will be 1.64. Thus, if we want to check for a different significance level of 1%, we will need to calculate a new critical value.
Whereas, if we calculate the p-value for say 1.67, it will give a value of about 0.047. This p-value can be used to reject the hypothesis at 5% significance level since 0.047 < 0.05. But with a significance level of 1%, the hypothesis can be accepted since 0.047 > 0.01.
Thus, it's clear critical values are different from P-values and they can't be used interchangeably.
We are give the equation of the perimeter of the triangle as follows:
2a + b = 15.7
where b represents the base.
Now, if we want to calculate the length of the base, all we have to do is isolate the b in one side of the equation as follows:
b = 15.7 - 2a
We know that a = 6.3 cm, therefore, the length of the base can be calculated as follows:
b = 15.7 - 2(6.3) = 3.1 cm
Answer:
A. The curve is a parabola with a vertex at (3,-4) and is traced from left to right for increasing values of t.
Step-by-step explanation:
x = 3 + t
y = t² − 4
Eliminating the parameter:
t = x − 3
y = (x − 3)² − 4
This is an upwards parabola with a vertex at (3, -4).
x = 3 + t, so as t increases, x increases.
So the curve is traced from left to right.
