Answer:
5(√3 - 1)
Step-by-step explanation:
Edge of cube = 10
If the sphere is inscribed in a cube, the edges of the cube is equal to the diameter of the sphere.
Diameter = 10
We will then find the diagonal of the cube.
Diagonal = √10^2 + 10^2 + 10^2
= √300
= 10√3
Let X be the distance between the vertex of the cube and the surface of the sphere
X = (diagonal - diameter) /2
X = (10√3 - 10)/2
X = (10(√3 - 1))/2
X = 5(√3 - 1)
Answer:
Step-by-step explanation:
Number of cows increased=60
Old quality of milk consumed=12.8litres
New Increase in milk consumed=15litres
Therefore the number of cows in the farm if the quality of milk is 1340litres=y
Therefore, 1cow =15litres
y cows= 1340litres
Crossmultiply:
15litres×ycows=1340litres
Make y the subject of formula
y= 1340÷15
y=89.33cows
Therefore,the number of cows on the farm if farmer gets 1340litres of milk would be 89cows.
The scneario here expressed is an aritmetic sequence because it can be explained like this:
<span><span><span>a1</span>=35
</span><span><span>an</span>=<span>a<span>n−1</span></span>+<span>17
So all the variables can fit in and will be better explained than a geometric sequence in which you need a common ratio and that is not needed in this case</span></span></span>
Answer:
(1)
Step-by-step explanation:
Data given and notation
n=100 represent the random sample taken
estimated proportion with the survey
is the value that we want to test
represent the significance level
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the true proportion is lower than 0.41.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion
is significantly different from a hypothesized value
.
Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
Answer:
Step-by-step explanation:
The tangent equation = side opposite angle / side beside angle
which in this case is 
which is the third choice
Hope that helps!