Answer:
If the p-value is less than a given significance level, you reject the null hypothesis and accept the alternative hypothesis.
Step-by-step explanation:
Suppose you have a business in which you'd like to make a change to increase your business. After making the change, you can use a significance test it. To conduct a significance test, you make a null hypothesis which states essentially that no effect happened. You also make an alternative hypothesis that states the change had an effect. You then test the two to see which one stands. In a significance test, using the p-value from your sample you compare it to the null and alternative hypotheses. You make a conclusion when:
- If the p-value is less than a given significance level, you reject the null hypothesis and accept the alternative hypothesis since the evidence is in favor of it.
If the p-value is greater than the significance level, then you fail to reject the null hypothesis and cannot conclude. There isn't evidence in favor of the alternative hypothesis.
Answer:
Radius = 6.5cm
Diameter = 13cm
Step-by-step explanation:
The diameter is the length of one side of a circle to the other. It's already given in the diagram as 13cm.
The radius is half of the diameter. 13 divided by 2 is 6.5cm.
Answer:
2 * 10^-3 oz
Step-by-step explanation:
Given that:
Number of staples per box = 6 * 10^3
Weight of staple box = 12 oz
Weight per staple = (weight of staple box / number of staples per box)
Weight per staple = 12 / 6 * 10^3
Weight per staple = 12 / 6 * 1000
= 12 / 6000
= 0.002 oz
= 2 * 10^-3 oz
Answer:
Center of the circle= (-9,6)
Radius = 5 units
Step-by-step explanation:
Once the equation of the circle has been written in the format
(x-h)²+(y-k)²=r² , (h,k) is the center while r is the radius of the circle.
From the given equation, -h=9 therefore h= -9.
-k = -6 therefore k = 6. r² = 25 therefore r= √25=5
Center of the circle= (-9,6) radius = 5 units
Df(x): x∈[-3,-1] ⋃ [1,4]
Rf(x): -3 ≤f(x) ≤7
