Answer:
Anita's monthly bill will be $164.25.
Step-by-step explanation:
Since Anita has a cellphone contract that costs her R100 per month plus 85 cents per peak time SMS, and 25 cents per off-peak time SMS, if she sends 45 SMSs during peak time and 105 SMSs during off-peak time In a month To determine what will her monthly bill come to, the following calculation must be performed:
100 + (0.85 x 45) + (0.25 x 105) = X
100 + 38.25 + 26.25 = X
138.25 + 26.25 = X
164.25 = X
Therefore, her monthly bill will be $ 164.25.
Answer: The radius of the circular rug is 6 meters.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
<em>Area of a circle (A) = pi r²
</em>
Where r is the radius:
Replacing with the values given:
36 pi=pi r²
Dividing both sides by pi:
36 = r²
√36= r
r = 6 meters
So, the radius of the circular rug is 6 meters.
Feel free to ask for more if needed or if you did not understand something.
1,54 3,8 6,9
multiply the pairs of numbers
The answer is 1/22 hope i could help all though i am pretty sure i am right p.s sorry it took so long
Answer:
a
The 95% confidence interval is ![1003 < \mu](https://tex.z-dn.net/?f=1003%20%20%3C%20%20%5Cmu%20%3C1023)
b
Yes there is statistically significant evidence that students in Florida perform differently from other students in the United States
Step-by-step explanation:
From the question we are told that
The population mean is ![\mu = 1000](https://tex.z-dn.net/?f=%5Cmu%20%3D%20%201000)
The sample size is ![n = 453](https://tex.z-dn.net/?f=n%20%3D%20%20453)
The sample mean is ![\= x = 1013](https://tex.z-dn.net/?f=%5C%3D%20x%20%20%3D%201013)
The standard deviation is ![s = 108](https://tex.z-dn.net/?f=s%20%3D%20%20108)
Given that the confidence level is 95% then the level of significance is mathematically represented as
![\alpha = 100 - 95](https://tex.z-dn.net/?f=%5Calpha%20%20%3D%20%20100%20-%2095)
=> ![\alpha = 5\%](https://tex.z-dn.net/?f=%5Calpha%20%20%3D%20%205%5C%25)
=> ![\alpha = 0.05](https://tex.z-dn.net/?f=%5Calpha%20%20%3D%200.05)
The critical value for
obtained from the normal distribution table is
![Z_{\frac{\alpha }{2} } = 1.96](https://tex.z-dn.net/?f=Z_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%3D%20%201.96)
Generally the margin of error is mathematically represented as
![E = Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{n} }](https://tex.z-dn.net/?f=E%20%3D%20%20Z_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%20%2A%20%20%5Cfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%20%7D)
=> ![E = 1.96 * \frac{108}{\sqrt{453} }](https://tex.z-dn.net/?f=E%20%3D%20%201.96%20%2A%20%20%5Cfrac%7B108%7D%7B%5Csqrt%7B453%7D%20%7D)
=> ![E = 9.946](https://tex.z-dn.net/?f=E%20%3D%209.946)
Generally the 95% confidence interval is mathematically represented as
![\= x - E < \mu < \= x + E](https://tex.z-dn.net/?f=%5C%3D%20x%20%20-%20E%20%20%3C%20%20%5Cmu%20%3C%20%20%5C%3D%20x%20%2B%20E)
=> ![1013 - 9.946 < \mu < 1013 + 9.946](https://tex.z-dn.net/?f=1013%20%20-%209.946%20%20%3C%20%20%5Cmu%20%3C%201013%20%20%2B%209.946)
=> ![1003 < \mu](https://tex.z-dn.net/?f=1003%20%20%3C%20%20%5Cmu%20%3C1023)
Given that the population mean(1000) is not within the 95% confidence interval for l for the average test score for students in Florida, then it means that there is statistically significant evidence that students in Florida perform differently from other students in the United States