Answer:
Price before growth = $ 153.85 million
Step-by-step explanation:
Given:
Percentage = 30%
Rate after Increase =new value= $200 million
To Find:
Sales before growth =old value= ?
Solution:
We Know the formula for Percentage growth which is given by the formula
Percentage growth
%
Now let old value = x
So
Difference = New Value - x
= 2000 - x
We have formula
Percentage growth
%
Putting in values
30 %
%
30 
Putting in values
30 
multiplying both sides by x
it becomes
30 x = (200-x)*100
Multiplying inside
30 x = 20000 - 100 x
Adding 100 x on both sides
30 x + 100 x = 20000 - 100 x + 100 x
it becomes
130 x = 20000
Dividing both sides by 130

itgives us
x = $ 153.85 million
Price before growth = $ 153.85 million
<span> the probability that she rolls an odd number AND and pulls a red chip
so it is = Prob(odd no) * Prob(red chip)
Prob(odd no) for a fair die = 1/2
Prob(red chip) = red chip / total chip = 2/(2+1) = 2/3
so the ans is 1/2 * 2/3 = 1/3
</span>
Mean = 12000
Standard Deviation = 2000
We have to find how many standard deviations is 14,500 away from the mean.
This can be achieved by calculating the z-score
Z-score tells us how many standard deviations above or below is a sample value from the mean. A positive z value shows, sample value is above the mean.
z score can be calculated as = (Sample Value - Mean )/Standard Deviation)
So,
Z-score =
This means, 14,500 is 1.25 standard deviations above the mean value 12,000.
Answer: Alternative Hypothesis
Ha : u ≠ 80 inches ( mean not equal to 80 inches)
Step-by-step explanation:
The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean.
While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.
For the case above, the mean door height is 80 inches
H0 : u = 80 inches
Ha : u ≠ 80 inches ( mean not equal to 80 inches)