Rick placed 5 strands of bacteria in a petri dish. The bacteria strands triple every hour. write a formula to represent how many
1 answer:
Answer:
and f(3) = 135.
Step-by-step explanation:
There are 5 strands of bacteria in a petri dish.
Now, the bacteria strands triple every hour.
So, the initial value of the number of bacteria strands is 5 and it get triple i.e. 3 times every hour spent.
So, after 1 hour the number will become 5 × 3 = 15
After 2 hours the number will become 15 × 3 = 45 and so on.
Therefore, the number of bacteria strands will be after nth hour will be
and the number of strands after 3 hours will be
. (Answer)
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Answer:
Step-by-step explanation:
We have to write an equation which represents the area of Felicia covered y in terms of the number of tiles she used.
Let x= Number of tiles
y=Area covered by Felicia's tile
The ratio of x and y remains constant.Therefore, it is direct proportion .
Equation of direction proportion is given by
Where
k=The value of ratio of x and y
x and y are variables
We have k=9
Substitute the values in the equation
Then, we get
This is required equation which representing the area of Felicia covered y in terms of the number of tile she used x.
Answer:
On this case if we analyze both slopes, we see that function 2 has a greater rate of change because have a slope greater on absolute value than the slope for Function 1 (|-5|>|4|). No matter if the sign is positive or no we are analyzing the rate of change and for this case we need to use the absolute value to find the solution.
Step-by-step explanation:
Assuming the following two functions:
Function 1: y = 4x + 8
Function 2:
x y
2 20
4 10
6 0
We can find the slope for the second function like this:
And in order to find the intercept we can use any point for example (2,20) and we got:
And then
So our function 2 is given by:
On this case if we analyze both slopes, we see that function 2 has a greater rate of change because have a slope greater on absolute value than the slope for Function 1 (|-5|>|4|). No matter if the sign is positive or no we are analyzing the rate of change and for this case we need to use the absolute value to find the solution.
Answer:
We failed to reject H₀
Z > -1.645
-1.84 > -1.645
We failed to reject H₀
p > α
0.03 > 0.01
We do not have significant evidence at a 1% significance level to claim that less than 40% of U.S. cell phone owners use their phones for most of their online browsing.
Step-by-step explanation:
Set up hypotheses:
Null hypotheses = H₀: p = 0.40
Alternate hypotheses = H₁: p < 0.40
Determine the level of significance and Z-score:
Given level of significance = 1% = 0.01
Since it is a lower tailed test,
Z-score = -2.33 (lower tailed)
Determine type of test:
Since the alternate hypothesis states that less than 40% of U.S. cell phone owners use their phone for most of their online browsing, therefore we will use a lower tailed test.
Select the test statistic:
Since the sample size is quite large (n > 30) therefore, we will use Z-distribution.
Set up decision rule:
Since it is a lower tailed test, using a Z statistic at a significance level of 1%
We Reject H₀ if Z < -1.645
We Reject H₀ if p ≤ α
Compute the test statistic:
From the z-table, the p-value corresponding to the test statistic -1.84 is
p = 0.03288
Conclusion:
We failed to reject H₀
Z > -1.645
-1.84 > -1.645
We failed to reject H₀
p > α
0.03 > 0.01
We do not have significant evidence at a 1% significance level to claim that less than 40% of U.S. cell phone owners use their phones for most of their online browsing.