What’s .9466 to the nearest hundredth I asked this before and someone gave me answer but it seems different then what I’ve learn
2 answers:
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Answer:
They are right, the time calculated using the exponential decay equation is 1948.6 years.
Step-by-step explanation:
The time can be calculated using the exponential decay equation:
(1)
<u>Where</u>:
N(t): is the quantity of C-14 at time t
N₀: is the initial quantity of C-14
λ: is the decay constant
The decay constant is:
(2)
By entering equation (2) into (1) and solving for t, we have:
Therefore, the time of the scrolls estimated by the archeologists is right, since the time calculated using the exponential decay equation is 1948.6 years.
I hope it helps you!
Answer:
Hypothesis Test states that we will accept null hypothesis.
Step-by-step explanation:
We are given that an engineer is comparing voltages for two types of batteries (K and Q).
where, = true mean voltage for type K batteries.
= true mean voltage for type Q batteries.
So, Null Hypothesis, :
{mean voltage for these two types of
batteries is same}
Alternate Hypothesis, :
{mean voltage for these two types of
batteries is different]
<em>The test statistics we use here will be :</em>
follows
where, = 8.54 and
= 8.69
= 0.225 and
= 0.725
= 37 and
= 58
= 0.585 Here, we use t test statistics because we know nothing about population standard deviations.
Test statistics = follows
= -1.219
<em>At 0.1 or 10% level of significance t table gives a critical value between (-1.671,-1.658) to (1.671,1.658) at 93 degree of freedom. Since our test statistics is more than the critical table value of t as -1.219 > (-1.671,-1.658) so we have insufficient evidence to reject null hypothesis.</em>
Therefore, we conclude that mean voltage for these two types of batteries is same.