Using a coordinate plane, draw a right triangle so the two shorter sides are 3 and 4 units long
1 answer:
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Answer:
There is evidence to support the claim that there is a linear correlation between the heights and pulse rates of women
Step-by-step explanation:
given that the heights (in inches) and pulse rates (in beats per minute) for a sample of 11 women were measured.
correlation coefficient r = 0.7200
(two tailed test at 5% significance level)
r difference = 0.7200
Std error of r =
Test statistic t = r difference/std error = 3.1128
df =9
p value=0.012458
since p <alpha, we reject H0
There is evidence to support the claim that there is a linear correlation between the heights and pulse rates of women
An expression for this timet-half will be given as ln(2) / λ ≈ 0.693 / λ
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The complete question is:
Suppose a radioactive sample initially contains N0unstable nuclei. These nuclei will decay into stable nuclei, and as they do, the number of unstable nuclei that remain, N(t), will decrease with time. Although there is no way for us to predict exactly when any one nucleus will decay, we can write down an expression for the total number of unstable nuclei that remain after a time t:
N(t)=No e−λt,
where λ is known as the decay constant. Note that at t=0, N(t)=No, the original number of unstable nuclei. N(t) decreases exponentially with time, and as t approaches infinity, the number of unstable nuclei that remain approaches zero.
Part (A) Since at t=0, N(t)=No, and at t=∞, N(t)=0, there must be some time between zero and infinity at which exactly half of the original number of nuclei remain. Find an expression for this time, t half.
Express your answer in terms of N0 and/or λ.
1) Equation given:
← I used α instead of λ just for editing facility..
Where No is the initial number of nuclei.
2) Half of the initial number of nuclei: N (t-half) = No / 2
So, replace in the given equation:
3) Solving for α (remember α is λ)
αt ≈ 0.693
⇒ t = ln (2) / α ≈ 0.693 / α ← final answer when you change α for λ
Therefore expression for this timet-half will be given as ln(2) / λ ≈ 0.693 / λ
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