Cost of the current plan: $175
Number of devices: x
Cost of the new plan: $94+($4.50/device)x
Cost of the new plan is less than the current plan:
$94+($4.50/device)x<$175
Solving for x:
$94+($4.50/device)x-$94<$175-$94
($4.50/device)x<$81
(device/$4.50)($4.50/device)x<(device/$4.50)($81)
x<18 devices
Please, see the attached file.
Thanks.
Answer:
f(x) = 4^x
Step-by-step explanation:
In f(x) = (1/4)^x, 1/4 is equal to 0.25, which is less than 1, so its decreasing
In f(x) = 4^x, 4 is greater than 1, so its increasing
In f(x) = (0.4)^x, 0.4 is less than 1, so its decreasing
This is why f(x) = 4^x is the correct answer
I hope this helps!
Answer:
√85
Step-by-step explanation:
s=[√d1)²+(d2)²]/2
s=(√12²+14²)/2
a=(√340)/2
s=(2√85)/2
s=√85
Answer:
C
Step-by-step explanation:
Answer:
The coin toss does not appear to be fair
Step-by-step explanation:
From the question we are told that
The sample size is 
The number of game won by team that won the coin toss at the beginning of overtime 
The level of significance is 
The population proportion is evaluated as
Since the population proportion is 0.485 
0.5 which implies that the coin toss is fair then
The Null hypothesis is
and The Alternative hypothesis is
The test statistics is evaluated as follows
![t = \frac{[x + p] - [\frac{n}{2} ]}{\frac{\sqrt{n} }{2} }](https://tex.z-dn.net/?f=t%20%20%3D%20%5Cfrac%7B%5Bx%20%20%2B%20p%5D%20-%20%5B%5Cfrac%7Bn%7D%7B2%7D%20%5D%7D%7B%5Cfrac%7B%5Csqrt%7Bn%7D%20%7D%7B2%7D%20%7D)
substituting values
![t = \frac{[194 + 0.485] - [\frac{400}{2} ]}{\frac{\sqrt{400} }{2} }](https://tex.z-dn.net/?f=t%20%20%3D%20%5Cfrac%7B%5B194%20%20%2B%200.485%5D%20-%20%5B%5Cfrac%7B400%7D%7B2%7D%20%5D%7D%7B%5Cfrac%7B%5Csqrt%7B400%7D%20%7D%7B2%7D%20%7D)
=> 
now the critical value of 
for a two tail test(it is two tailed because we are test whether the critical value is less than or greater than the test statistics ) is
This is usually found from the critical value table
Now comparing the critical values and the calculated test statistics we see that the critical value is greater than the test statistics hence the Null hypothesis is rejected
This means that the coin toss is not fair
