1-(1/5)= 4/5 or 28/35 if you multiply top and bottom by 5
Answer:
Balance = $124.53 – $57.49 + $103.49 = $170.53
Step-by-step explanation:
Answer:
x^2+y^2+z^2-10x-6y-10z +50 =0
Step-by-step explanation:
Given that a sphere is contained in the first octant
Centre of the sphere is given as (5,3,5)
Since this is contained only in the first octant radius should be at most sufficient to touch any one of the three coordinate planes
When it touches we can get the maximum sphere
We find that y coordinate is the minimum of 3 thus radius can be atmost 3 so that then only it can touch y =0 plane i.e. zx plane without crossing to go to the other octants.
Hence radius =3
Equation of the sphere would be

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:
The perimeter of the given semi-circle in terms of
is
cm
Step-by-step explanation:
Given that the diameter of the semi-circle is 18cm
That is d=18cm
Therefore radius 

Therefore radius r=9cm
To find the perimeter of the semi-circle :
perimeter of the semi-circle
cm (where r=9 cm )
cm
The perimeter of the given semi-circle in terms of
is
cm