Answer:
14 pieces and 34 pieces
Answer: The 95% confidence interval estimate of the population mean is (1760, 1956) .
Step-by-step explanation:
Formula for confidence interval for population mean() :
, where n= Sample size
= sample mean.
= Two-tailed critical z-value
= population standard deviation.
By considering the given information, we have
n= 81
kilowatt-hours.
kilowatt-hours.
By using the z-value table ,
The critical values for 95% confidence interval :
Now , the 95% confidence interval estimate of the population mean will be :
Hence, the 95% confidence interval estimate of the population mean is (1760, 1956) .
Wen can turn both fractions into decimals.
1 1/3 = 1.333...
1/4 = 0.25
As we can see 1 1/3 is greater than 0.25.
Therefore, the answer is [ 1 1/3 > 1/4 ]
Best of Luck!
Answer: what is the question to this?
Step-by-step explanation: thanks let me know okay
Answer:
(11/5) (a ratio)
Step-by-step explanation:
11 ounces to 5 ounces could be rewritten as
11 oz.
---------- = (11/5) (a ratio)
5 oz
Answer: 380000 cells/hour
Step-by-step explanation:
Given that dP/dt = 0.19P(t)
where
P(t) is the size of the culture (measured in millions of cells) at time t > 0 (measured in hours).
The formula above represents a mathematical model for the growth of a certain cell culture. In essence, it represents the time rate of the growth of the cell culture, that is how fast the cell culture is growing.
Therefore, when P = 2 million cells:
dP/dt = 0.19 * 2000000 = 380000 cells/hour
Hence, the cell culture is growing at 380000 cells per hour.
The cell culture is growing at a rate of 0.38 million cells per hour when the size of the culture reaches 2 million cells. This is based on the given differential equation dP/dt = 0.19P(t).
This problem is associated with the concept of differential equations, particularly exponential growth. In this scenario, the rate of change of P(t), the size of the cell culture, is given by the equation dP/dt = 0.19P(t). This can be interpreted as the culture is growing at 19% per unit of time.
To determine how fast the culture is growing when P(t) equals 2 million cells, we need to substitute 2 for P(t) in the given equation: dP/dt = 0.19*2. This calculation returns a value of 0.38 million cells per hour. Therefore, when the size of the culture reaches 2 million cells, it is growing at a rate of 0.38 million cells per hour.
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Answer:5% increase
Step-by-step explanation:
Using the given formula T = LS
And given the time is 3 minutes (3 x 60 = 180 seconds)and the speed is 4-1/2 inches per second:
180 = L x 4-1/2
Solve for L by dividing both sides by 4-1/2:
L = 180 / 4-1/2
L = 40
The length should be 40 inches.