<u><em>Answer:</em></u>
14 miles
<u><em>Explanation:</em></u>
<u>The relation that will be used to solve this problem is:</u>
<u>which can be rewritten as:</u>
<u>Assume that:</u>
Distance from your house to your friend's house is d
Time taken from your house to your friend's house is t₁
Time taken from your friends house to your house is t₂
<u>1- From your house to your friend's house:</u>
Average rate = 35 miles/hour
<u>Therefore:</u>
<u>2- From your friend's house to your house:</u>
Average rate = 40 miles per hour
<u>Therefore:</u>
<u>3- Round trip:</u>
We know that the round trip took 45 minutes which is equivalent to 0.75 hours
<u>This means that:</u>
t₁ + t₂ = 0.75 hours
Hope this helps :)
Answer: 0.8313
Step-by-step explanation:
As per given we have,
Also, the distribution of the number of suitcases that get lost each week on a certain route is approximately normal.
Since , 
z-score corresponds to x= 10:
z-score corresponds to x= 20:
P-value = 
Hence, the probability that during a given week the airline will lose between 10 and 20 suitcases = 0.8313
Answer:
D 5
Step-by-step explanation:
the same scaling factor s applies to all sides when transforming from the small to the large triangle.
x×s = x + 5
(x-2)×s = x +1
=> s = (x+5)/x
=> (x-2)×(x+5)/x = x + 1
=> x² + 3x - 10 = x² + x
=> 3x - 10 = x
=> 2x = 10
=> x = 5
25 cubic inches because you know that every cone is a third of the volume of the cylinder with which it shares a height and base with.
Answer: <em>the length of each edge is 0.5 ft.</em>
Step-by-step explanation:
![V=S^{3}\\\\S=\sqrt[3]{V}=\sqrt[3]{\dfrac{1}{8}} = \sqrt[3]{\bigg ( \dfrac{1}{2} \bigg)^{3} } = \dfrac{1}{2}=0.5 \: \: \: (ft)](https://tex.z-dn.net/?f=V%3DS%5E%7B3%7D%5C%5C%5C%5CS%3D%5Csqrt%5B3%5D%7BV%7D%3D%5Csqrt%5B3%5D%7B%5Cdfrac%7B1%7D%7B8%7D%7D%20%20%3D%20%5Csqrt%5B3%5D%7B%5Cbigg%20%28%20%5Cdfrac%7B1%7D%7B2%7D%20%5Cbigg%29%5E%7B3%7D%20%7D%20%20%3D%20%5Cdfrac%7B1%7D%7B2%7D%3D0.5%20%5C%3A%20%5C%3A%20%5C%3A%20%28ft%29)
