Answer:
The minimum amount of water to fill the sphere is 
Step-by-step explanation:
we know that
The volume of the sphere (glass sphere) is equal to
we have
----> the radius is half the diameter
assume
substitute
Answer:
She should buy the monthly plan for the unlimited movies rather than pay $2.99 per movie. This is because, the more she pay that amount for each movie, the higher her expenses would become at the end of each month.
For example, let assume, in a month, she 8 free days (Saturday and Sunday). She paying for each movie each of those days would supersede the amount she could have spent assuming she did the unlimited monthly plan of $7.99.
That notwithstanding other days which will feel like watching movies or the public holidays which she would be free to relax.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hello!
The variable of interest is:
X: height of seaweed.
X~N(μ;σ²)
μ= 10 cm
σ= 2 cm
You have to find the value of the variable X that separates the bottom 0.30 of the distribution from the top 0.70
P(X≤x)= 0.30
P(X≥x)= 0.70
Using the standard normal distribution you have to find the value of Z that separates the bottom 0.30 from the top 0.70 and then using the formula Z= (X-μ)/σ translate the Z value to the corresponding X value.
P(Z≤z)= 0.30
In the body of the table look for the probability of 0.30 and reach the margins to form the Z value. The mean of the distribution is "0" so below 50% of the distribution you'll find negative values.
z= -0.52
Now you have to clear the value of X:
Z= (X-μ)/σ
Z*σ= X-μ
X= (Z*σ)+μ
X= (-0.52*2)+10= 8.96
The value of seaweed height that divides the bottom 30% from the top 70% is 8.96 cm
I hope this helps!
Answer:
The balance be after he has made exactly half of his monthly payments is $56881.4.
Step-by-step explanation:
Given : Dean took out a 10-year loan for $40,000 at an APR of 4% compounded monthly.
To find : What will his balance be after he has made exactly half of his monthly payments?
Solution :
Formula of monthly payment ,
Discount factor 
Where, Amount = $40,000
Rate r= 4% compounded monthly
Time = 10 years
Now, put all the values we get,
Half of the monthly payment is $807.345
Payment for 10 years is 
The balance is $96881.4-$40000=$56881.4
Therefore, The balance be after he has made exactly half of his monthly payments is $56881.4.
