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mixas84 [53]
2 years ago
14

What is the median of this group of numbers?

Mathematics
2 answers:
RUDIKE [14]2 years ago
6 0

Answer:

40 because it is in the middle

sleet_krkn [62]2 years ago
3 0

Answer:

40

Step-by-step explanation:

40 is in the middle there are three numbers to either side

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Stu trained for a triathlon for 5 hours yesterday. He ran 5 miles and then biked 80 miles. His biking speed is 15 mph faster tha
lara31 [8.8K]

Answer:

Step-by-step explanation:

Given as :

The distance cover while running = D_1 = 5 miles

Let The speed for running = S_1

The distance cover with bike = D_2 = 80 miles

The speed for biking = S_2 = 15 mph +  S_1

Total Time taken = 5 hours

Now Time = \dfrac{\textrm Distance}{\textrm Speed}

∴ 5 hour = \frac{D_1}{S_1} +  \frac{D_2}{S_2}

Or,  5 hour = \frac{5}{S_1} +  \frac{80}{15+S_1}

Or, 5 hour = \frac{75 + 5 S_1 + 80 S_1}{S_1(15+S_1)}

or,  5 × (S_1^{2}+15 S_1) = 85 S_1 + 75

Or, 5 S_1^{2} + 75 S_1 -  85 S_1 - 75 = 0

or, 5 S_1^{2} -10 S_1 - 75 = 0

or,   S_1^{2} -2 S_1 - 15 = 0

Or, S_1^{2} -3 S_1 + 5 S_1- 15 = 0

Or, S_1 (S_1 - 3) + 5 (S_1 - 3) = 0

Or, (S_1 - 3) ( S_1 + 5 ) = 0

∴ S_1 = 3 , - 5

So, the running speed = 3 mile per hour

And the biking speed = 15 mph + 3 mph = 18 mile per hour

Hence The running speed of Stu is 3 mile per hour  .  Answer

7 0
3 years ago
Use the​ power-reducing formulas to rewrite the expression as an equivalent expression that does not contain powers of trigonome
ratelena [41]

Answer:

x = 0.175\cdot (1-\cos 4\cdot \theta)

Step-by-step explanation:

Let use the following trigonometric identities:

\sin^{2}\theta = \frac{1-\cos 2\cdot \theta}{2} \\\cos^{2}\theta = \frac{1+\cos 2\cdot \theta}{2}

Then, the equation is simplified by substituting its components:

x = 1.40\cdot \left(\frac{1-\cos 2\cdot \theta}{2}  \right)\cdot \left(\frac{1+\cos 2\cdot \theta}{2} \right)

x = 0.35\cdot (1-\cos^{2}2\cdot \theta)

x = 0.35\cdot \sin^{2}2\cdot \theta

x = 0.35\cdot \left(\frac{1-\cos 4\cdot \theta}{2}  \right)

x = 0.175\cdot (1-\cos 4\cdot \theta)

7 0
3 years ago
Read 2 more answers
Plz help !!! timed quiz
Zanzabum

Answer:

6 1/12

Step-by-step explanation:

you would add all the lengths together and then you would have your answer which is 6 1/12

3 0
3 years ago
PLS I need help with this,
Over [174]

Answer:

5

Step-by-step explanation:

2:16-2:18=3

180ft-185ft=5

6 0
3 years ago
Football team play $28 per jersey. They bought 16 jerseys. How much money did the team spend on jerseys
yaroslaw [1]
If they pay $28 for 16 jerseys then the total they’d have to play is $448

28 x 16 = 448

Hope this helps :)
5 0
3 years ago
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