The graph of y = -3x + 2 intersects the graph of an exponential function at (-1, 5). Which of the following could be the exponen
tial function?
a) y = 10(2)
b) y = 10(0.5)
c) y = 5
d) y = 5(2)
a) y = 10(2)
b) y = 10(0.5)
c) y = 5
d) y = 5(2)
2 answers:
Answer:
Step-by-step explanation:
In order to solve this you just need to evaluate the options given with the values of the point that is given in order to see if that point is a possibility in that function, remember to use the value of x to avaluate and if the result is the same as the points value for y then that poin is part of the graph.
Remember that when elevating to negative numbers the ecponent becomes a numerator, so the only option that is correct would be the first one
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Answer:
C. H0 : p = 0.8 H 1 : p ≠ 0.8
The test is:_____.
c. two-tailed
The test statistic is:______p ± z (base alpha by 2)
The p-value is:_____. 0.09887
Based on this we:_____.
B. Reject the null hypothesis.
Step-by-step explanation:
We formulate null and alternative hypotheses as proportion of people who own cats is significantly different than 80%.
H0 : p = 0.8 H 1 : p ≠ 0.8
The alternative hypothesis H1 is that the 80% of the proportion is different and null hypothesis is , it is same.
For a two tailed test for significance level = 0.2 we have critical value ± 1.28.
We have alpha equal to 0.2 for a two tailed test . We divided alpha with 2 to get the answer for a two tailed test. When divided by two it gives 0.1 and the corresponding value is ± 1.28
The test statistic is
p ± z (base alpha by 2)
Where p = 0.8 , q = 1-p= 1-0.8= 0.2
n= 200
Putting the values
0.8 ± 1.28
0.8 ± 0.03620
0.8362, 0.7638
As the calculated value of z lies within the critical region we reject the null hypothesis.
6.665 grams of the 13 grams remain after 8 hours.
<h3>How much of a 13 gram sample of iron-52 would remain after 8 hours?</h3>The decay equation for the 13 grams of iron-52 is:
Where N is the amount of iron-52, and t is the time in years.
Where we used the fact that the half-life is exactly 8.3 hours.
Now, the amount that is left is given by N(8h), so we just need to replace the variable t by by 8 hours, so we get:
So 6.665 grams of the 13 grams remain after 8 hours.
If you want to learn more about half-life:
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