What is the variable in 5 + 12w
2 answers:
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Step-by-step explanation:
Given
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To find conjecture about regular polygon, use the formula 
Where, n = number of sides of the regular polygone
1) Triangle
n =3
So, Conjecture of the triangle =
= 120
2) Square
n =4
So, Conjecture of the square =
= 90
3) Pentagone
n = 5
So, Conjecture of the pentagon =
= 72
4) Hexagone
n = 6
So, Conjecture of the pentagon =
= 60.
Where, n = number of sides of the regular polygone
1) Triangle
n =3
So, Conjecture of the triangle =
2) Square
n =4
So, Conjecture of the square =
3) Pentagone
n = 5
So, Conjecture of the pentagon =
4) Hexagone
n = 6
So, Conjecture of the pentagon =
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.
Answer: Options A and C.
Step-by-step explanation:
The parent exponential function has the form:
This can be transformated as following:
When you multiply the function by a factor <em>a</em> ()<em> </em>and <em>a>0 </em>, then the function is vertically stretched.
When you add a number <em>k</em> to the parent function, the function is shifted up ()
The parent function given in the problem is:
To obtain the function , the parent function is multiplied by a factor 3 (which is greater than 0) and the number 5 is added.
Therefore, the graph is shifted up and vertically stretched.