Answer:
$11.60
Step-by-step explanation:
4x = 46.4
x = 11.6
Answer:
5 terms
to the fourth degree
leading coeff of 1
3 turning points
end behavior (when x -> inf, y -> inf. When x -> - inf, y -> -inf)
x intercepts are (0,-4) (0,-2) (0,1) (0,3)
Relative min: (-3.193, -25) (2.193, 25)
Relative max: (-0.5, 27.563)
Step-by-step explanation:
The terms can be counted, seperated by the + and - in the equation given.
The highest exponent is your degree.
The number before the highest term is your leading coeff, if there is no number it is 1.
The turning points are where the graph goes from falling to increasing or vice versa.
End behaviour you have to look at what why does when x goes to -inf and inf.
X int are the points at which the graph crosses the x-axis.
The relative min and max are findable if you plug in the graph on desmos or a graphing calculator.
Answer:
(a) The sample size required is 43.
(b) The sample size required is 62.
Step-by-step explanation:
The (1 - α) % confidence interval for population mean is:
The margin of error for this interval is:
(a)
The information provided is:
<em>σ</em> = 4 minutes
MOE = 72 seconds = 1.2 minutes
Confidence level = 95%
α = 5%
Compute the critical value of z for α = 5% as follows:
*Use a z-table.
Compute the sample size required as follows:
![n=[\frac{z_{\alpha/2}\times \sigma}{MOE} ]^{2}](https://tex.z-dn.net/?f=n%3D%5B%5Cfrac%7Bz_%7B%5Calpha%2F2%7D%5Ctimes%20%5Csigma%7D%7BMOE%7D%20%5D%5E%7B2%7D)
![=[\frac{1.96\times 4}{1.2}]^{2}\\\\=42.684\\\\\approx 43](https://tex.z-dn.net/?f=%3D%5B%5Cfrac%7B1.96%5Ctimes%204%7D%7B1.2%7D%5D%5E%7B2%7D%5C%5C%5C%5C%3D42.684%5C%5C%5C%5C%5Capprox%2043)
Thus, the sample size required is 43.
(b)
The information provided is:
<em>σ</em> = 4 minutes
MOE = 1 minute
Confidence level = 95%
α = 5%
Compute the critical value of z for α = 5% as follows:
*Use a z-table.
Compute the sample size required as follows:
![=[\frac{1.96\times 4}{1}]^{2}\\\\=61.4656\\\\\approx 62](https://tex.z-dn.net/?f=%3D%5B%5Cfrac%7B1.96%5Ctimes%204%7D%7B1%7D%5D%5E%7B2%7D%5C%5C%5C%5C%3D61.4656%5C%5C%5C%5C%5Capprox%2062)
Thus, the sample size required is 62.
Answer:
x=7
Step-by-step explanation:
expand 4(x+5): 4x+20
2x+34=4x+20
subtract 34 from both sides
2x+34-34=4x+20-34
2x=4x-14
subtract 4x from both sides
2x-4x=4x-14-4x
-2x=-14
divide both sides by -2
-2x/-2=-14/-2
x=7
Answer:
Equally Likely
Step-by-step explanation:
The answer is equally likely because equally likely events have the same probability of happening as another event.
For example, a fair coin.
It has a 1/2 chance of beng tails, and 1/2 chance of being heads, meaning that both tails and heads are Equally Likely to land.
Hope this helps!
