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1 answer:
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Answer:
5.5 days (nearest tenth)
Step-by-step explanation:
<u>Given formula:</u>
= initial mass (at time t=0)
- N = mass (at time t)
- k = a positive constant
- t = time (in days)
Given values:
- k = 0.125
Half-life: The <u>time</u> required for a quantity to reduce to <u>half of its initial value</u>.
To find the time it takes (in days) for the substance to reduce to half of its initial value, substitute the given values into the formula and set N to half of the initial mass, then solve for t:
Therefore, the substance's half-life is 5.5 days (nearest tenth).
Learn more about solving exponential equations here:
Answer:
The value of P-value is 0.0472.
Step-by-step explanation:
We are given that you take a simple random sample of 12 apartments in town A and calculate the average price of these apartments. You repeat this for 15 apartments in town B.
Let = <u><em>true average price of apartments in town A</em></u>
= <u><em>true average price of apartments in town B</em></u>
So, Null Hypothesis, :
Alternate Hypothesis, :
The test statistics that have been used here is <u>two-sample t-test statistics</u>, i.e;
The test statistics given to us is 2.1
Now, the P-value of the test statistics is given by the following formula;
P-value = P( > 2.1)
= P( > 2.1) = 0.0236
In two-tailed test, P-value is calculated as = 2 0.0236 = <u>0.0472</u>
Hence, the value of the p-value is 0.0472.