Answer:
Null hypothesis:
Alternative hypothesis:
Or equivalently:
Null hypothesis:
Alternative hypothesis:
Step-by-step explanation:
Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
Solution to the problem
Let the mean observed for Utah and
the mean observed for Colorado.
On this case we want to test is but we can rewrite this expression like this:
And on this case the last statement needs to be on the alternative hypothesis, and the complement in the null hypothesis
So the correct system of hypothesis for this case would be:
Null hypothesis:
Alternative hypothesis:
Or equivalently:
Null hypothesis:
Alternative hypothesis:
Given:
Radius of the cone = 6
Slant height of the cone = 10
To find:
The lateral area, surface area and volume of the cone.
Solution:
Let h be the height of the cone. By Pythagoras theorem, we get
Taking square root on both sides, we get
The lateral area of a cone is:
The surface area of a cone is:
Volume of cone is:
Therefore, the lateral area of a cone is sq. units, the surface area of a cone is
sq. units and the volume of the cone is
cubic units.
Answer:
She will have 142 watermelons
Step-by-step explanation:
First let's put our ratio
10 : 71
Since our lemons are now 20 instead of 10 we will divide 20 by 10 to see how many time we multiplied it by.
which equals 2
To find our water melon we will multiply it by 2
which equals 142
She will have 142 watermelons