Answer: 14 hours
Step-by-step explanation:
Let the number of hours of TV that Jamie watched be represented by x.
Since Roberto watched 5 more hours of tv than Jamie last week, therefore the number of hours of TV that Roberto watched will be: x + 5
Together, they watched a total of 23 hours of tv last week. Therefore,
x + (x + 5) = 23
2x + 5 = 23
2x = 23 - 5
2x = 18
x = 18/2
x = 9
Jamie watched 9 hours of TV
Therefore, Roberto watched x+ 5 = 9 + 5 = 14 hours
Answer:
The graph is attached below.
Step-by-step explanation:
Considering the exponential function
![y=3^{-2x}](https://tex.z-dn.net/?f=y%3D3%5E%7B-2x%7D)
![\mathrm{Apply\:exponent\:rule}:\quad \:a^{bx}=\left(a^b\right)^x](https://tex.z-dn.net/?f=%5Cmathrm%7BApply%5C%3Aexponent%5C%3Arule%7D%3A%5Cquad%20%5C%3Aa%5E%7Bbx%7D%3D%5Cleft%28a%5Eb%5Cright%29%5Ex)
![3^{-2x}=\left(3^2\right)^{-x}](https://tex.z-dn.net/?f=3%5E%7B-2x%7D%3D%5Cleft%283%5E2%5Cright%29%5E%7B-x%7D)
![=\left(3^2\right)^{-x}](https://tex.z-dn.net/?f=%3D%5Cleft%283%5E2%5Cright%29%5E%7B-x%7D)
![=9^{-x}](https://tex.z-dn.net/?f=%3D9%5E%7B-x%7D)
The graph is also attached below.
Keywords: exponential function, graph
Learn more about exponential function from brainly.com/question/11908487
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Answer:
(0.6430, 0.8170)
Step-by-step explanation:
Given that during a recent drought a water utility in a certain town sampled 100 residential water bills and found out that 73 of the residences had reduced their water consumption over that of the previous year.
Sample size n = 100
Sample proportion p = ![\frac{73}{100} =0.73](https://tex.z-dn.net/?f=%5Cfrac%7B73%7D%7B100%7D%20%3D0.73)
q = 1-p = 0.23
Std error of proportion = ![\sqrt{\frac{pq}{n} } \\=\sqrt{\frac{0.73*0.27}{100} } \\=0.04440](https://tex.z-dn.net/?f=%5Csqrt%7B%5Cfrac%7Bpq%7D%7Bn%7D%20%7D%20%5C%5C%3D%5Csqrt%7B%5Cfrac%7B0.73%2A0.27%7D%7B100%7D%20%7D%20%5C%5C%3D0.04440)
95% Z critical value = 1.96
Margin of error = ![1.96*0.0444 = 0.0870](https://tex.z-dn.net/?f=1.96%2A0.0444%20%3D%200.0870)
Confidence interval = sample proportion ±margin of error
0.642983946
0.817016054
(0.6430, 0.8170)
Answer:
the answer will be A
Step-by-step explanation:
on E2020, i hope this helps
B is undefined because the answer comes out as a decimal. C is exactly 0. A is 135. D is 1.