9514 1404 393
Answer:
y ≥ 1/4x + 2
Step-by-step explanation:
The line is solid, and the shading is above it, so the inequality will have a form similar to ...
y ≥ [the boundary line]
The y-intercept is y = 2, and the slope is 1 unit up for 4 units right, so 1/4. In slope-intercept form, the equation of the boundary line is ...
y = mx + b . . . . . . for slope m and y-intercept b
This boundary line has equation ...
y = 1/4x + 2
So, the inequality is ...
y ≥ 1/4x + 2
Answer:
See below
Step-by-step explanation:
- 6x² - 18 =
- 6*x² - 6*3 =
- 6(x² - 3)
this can be solved using
the fomula of the volume of a right circular cylinder
V = pi*r^2*h
Where pi = 3.1416
R is the radius
H is the height
V = 3.1416(1.68^2) (5)
V = 44.3342 ft^3 (7.5
gallon / 1 ft^3)
<span>V = 332.5062 gallons</span>
Using the p-value method, the decision rule is:
- |z| < 1.645: do not reject the null hypothesis.
- |z| > 1.645: reject the null hypothesis.
<h3>What is the relation between the p-value and the test hypothesis?</h3>
Depends on if the p-value is less or more than the significance level:
- If it is more, the null hypothesis is not rejected.
- If it is less, it is rejected.
In this problem, we have a two-tailed test, as we are testing if the mean is different of a value. For a significance level of 0.1, the critical value of z(when a p-value of 0.1 is obtained) is of |z| = 1.645, hence the decision rule is:
- |z| < 1.645: do not reject the null hypothesis.
- |z| > 1.645: reject the null hypothesis.
More can be learned about p-values at brainly.com/question/13873630
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