Answer:
x = 4
Step-by-step explanation:
In
Hence, by basic proportionality theorem:

<u><em>$572.18 - $434.68 = $137.5, therefore $137.5 is the amount of the check.</em></u>
Answer:
72.5mph
Step-by-step explanation:
There is an easy way to work this. Divide the miles he drove by 2 so that you know how much he drove in 1/5 hours.
29/2= 14.5miles driven in 1/5 hours
Now, just multiply that number by 5 so that you know how many miles he drove in 5/5 hours (one full hour).
14.5*5= 72.5miles
Answer:
a. 0.1576<p<0.2310
b. The two restaurants likely have similar order rates which are inaccurate.
Step-by-step explanation:
a. We first calculate the proportion,
:

-We use the z-value alongside the proportion to calculate the margin of error:

The confidence interval at 90% is then calculated as:
![CI=\hat p\pm MOE\\\\=0.1943\pm 0.0367\\\\=[0.1576,0.2310]](https://tex.z-dn.net/?f=CI%3D%5Chat%20p%5Cpm%20MOE%5C%5C%5C%5C%3D0.1943%5Cpm%200.0367%5C%5C%5C%5C%3D%5B0.1576%2C0.2310%5D)
Hence, the confidence interval at 90% is [0.1576,0.2310]
b. From a above, the calculated confidence interval is 0.1576<p<0.2310
-We compare the calculated CI to the stated CI of 0.147<p<0.206
-The two confidence intervals overlap each other and have the same value for 0.1576<p<0.206
-Hence, we conclude that the two restaurants likely have similar order rates which are inaccurate.
Answer:
(7.5 , -2.5)
Step-by-step explanation:
Sub the values into this formula