Answer:
And if we solve for a we got
So the value of height that separates the bottom 20% of data from the top 80% is 23.432.
Step-by-step explanation:
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where 
and 
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
As we can see on the figure attached the z value that satisfy the condition with 0.20 of the area on the left and 0.80 of the area on the right it's z=-0.842
If we use condition (b) from previous we have this:
But we know which value of z satisfy the previous equation so then we can do this:
And if we solve for a we got
So the value of height that separates the bottom 20% of data from the top 80% is 23.432.
Answer:
Part A: 4,300 ≥ 2500 + 0.12s
Part B: Less than or equal to $15,000
Part C: In the image
Step-by-step explanation:
For Part A: The total needs to be at least 4,300. So 4,300 is greater than or equal to how much she earns. 2,500 is the base pay, and it is added to 0.12s, which represents 12% of sales (s).
For Part B:
Using the inequality, solve for s
4,300 ≥ 2500 + 0.12s
Subtract 2500 from both sides
1800 ≥ 0.12s
Now divide both sides by 0.12 to isolate s
15000 ≥ s
So sales must be less than or equal to 15000.
Part C:
The growth of the bacteria is expressed as:
<span>B(t) = 4 e^0.8t
</span>
where t is the time in units of hours. If the bacteria is allowed to grow for 8 hours then the number of bacteria present would be,
<span>B(t) = 4 e^0.8(8)
</span><span>B(t) = 2407</span>
Answer:
The better deal is the 12 pack because the unit price is $0.37 which is lower than the unit price of the 18 pack that is $0.80.
Step-by-step explanation:
To find which is the better deal, you have to determine which one offers a lower unit price by dividing the price of each package by the number of balls in the pack:
$4.47/12=$0.37
$14.46/18=$0.80
According to this, the answer is that the better deal is the 12 pack because the unit price is $0.37 which is lower than the unit price of the 18 pack that is $0.80.
Answer:When x=16 , y=36 . Explanation: If y varies directly as x , then if y increases, x increases, and if y decreases, x decreases.
Step-by-step explanation: because
