The common form of exponential function is y = xᵃ where x is the variable and a is raised to a specific number. From this, the graph would on the value of a. An example would be when there are 70000 bacteria
present in a culture and reduced by half every four hours, the number of
bacteria will decrease. The bacteria will experience an exponential decay
because it decreases its number at a constant decay.
Answer:
- B) y = negative 4 x + three
Step-by-step explanation:
<u>Find the slope of the line that goes through (0, 8) and (2, 0):</u>
- m = (y₂ - y₁)/(x₂ - x₁)
- m = (0 - 8) / (2 - 0) = -8/2 = -4
Parallel lines have equal slopes.
<u>Looking at the choices we see only one of them has the slope of -4:</u>
The value of each winning ticket is an arithmetic series in which T (n) = -5 + 15n or $5 (3n-1). The first winner is 5 (3x1 - 1) = $10. The second winner is 5 (3x2 - 1) = $25. The tenth ticket wins $5 (3x10 - 1) = $5 (29) = $145.
Answer:
A.) nine more girls read 6 or more than boys who read 6 or more books
Step-by-step explanation:
Let's examine the statements ...
a) 24 is 9 more than 15 . . . TRUE
b) 41 is 6 more than 36 . . . false
c) 32 is twice as many as 15 . . . false
d) 24 is twice as many as 48 . . . false
Answer:
The p value for this case would be given by:
For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42
Step-by-step explanation:
Information given
n=1045 represent the random sample selected
X=502 represent the college graduates with a mentor
estimated proportion of college graduates with a mentor
is the value that we want to test
z would represent the statistic
represent the p value
Hypothesis to test
We want to test if the true proportion is higher than 0.42, the system of hypothesis are.:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info we got:
The p value for this case would be given by:
For this case the p value is lower than the significance level so then we have enough evidence to reject the null hypothesis so then we can conclude that the true proportion is significantly higher than 0.42
