Answer:
Mean travel time = 10.33 minutes
Step-by-step explanation:
The mean of a distribution is a measure of central tendency that shows the centre of a set of data. Mathematically, it is represented as:
Mean = Sum of the terms ÷ Number of terms
Mean = (10 + 13 + 16 + 5 + 4 + 14) ÷ 6
Mean = 62 ÷ 6 = 10.33
∴ Mean travel time = 10.33 minutes
N:B 10.33 minutes = 10 minutes + 0.33 minutes
converting 0.33 minutes to seconds
1 minute = 60 seconds
∴ 0.33 minute = 60 × 0.33 = 19.8 seconds
∴ Mean time = 10 minutes 20 seconds
Answer:
Yes, it is a solution
Step-by-step explanation:
9x+7y=-11
-2x-5y=30
substitute 5 for x and -8 for y and test:
9(5)+7(-8)=-11
45-56=-11 , this is true
-2(5)-5(-8)=30
-10+40=30 , this is true also
Answer:
9.21 units
Step-by-step explanation:
Let d be the distance between given points.
![\therefore \: d = \sqrt{ {(6 - 8)}^{2} + { \{4 - ( - 5) \}}^{2} } \\ \hspace{16 pt}= \sqrt{ {( - 2)}^{2} + { \{4 + 5 \}}^{2} } \\\hspace{16 pt} = \sqrt{ {( - 2)}^{2} + { \{9 \}}^{2} } \\ \hspace{16 pt}= \sqrt{ 4 + 81} \\\hspace{16 pt} = \sqrt{ 85} \\ \hspace{16 pt}= 9.21954446 \\ \: \: \: \: \: \purple{ \bold{d = 9.21 \: units }}\\ \\](https://tex.z-dn.net/?f=%20%5Ctherefore%20%5C%3A%20d%20%3D%20%20%5Csqrt%7B%20%7B%286%20-%208%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%20%5C%7B4%20-%20%28%20-%205%29%20%5C%7D%7D%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%5Chspace%7B16%20pt%7D%3D%20%20%5Csqrt%7B%20%7B%28%20-%202%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%20%5C%7B4%20%20%2B%20%205%20%5C%7D%7D%5E%7B2%7D%20%7D%20%20%5C%5C%5Chspace%7B16%20pt%7D%20%3D%20%20%5Csqrt%7B%20%7B%28%20-%202%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%20%5C%7B9%20%5C%7D%7D%5E%7B2%7D%20%7D%20%20%5C%5C%20%5Chspace%7B16%20pt%7D%3D%20%20%5Csqrt%7B%204%20%20%2B%20%2081%7D%20%20%5C%5C%5Chspace%7B16%20pt%7D%20%3D%20%20%5Csqrt%7B%2085%7D%20%20%5C%5C%20%20%5Chspace%7B16%20pt%7D%3D%209.21954446%20%5C%5C%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20%20%20%5Cpurple%7B%20%5Cbold%7Bd%20%3D%209.21%20%5C%3A%20units%20%7D%7D%5C%5C%20%20%5C%5C%20)
If a line is perpendicular to another line, it has an opposite reciprocal slope. The opposite reciprocal of -4/5 is 5/4.
Based on the picture I drew, the y intercept is (0,3), so the equation should be y = 5/4 + 3.
Answer:
V≈421.88
Step-by-step explanation: