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3 years ago

Find the mean absolute deviation of the data set {6,9,12,8,10}

Mathematics

1 answer:

marta [7]3 years ago

6 0

Mean absolute deviation of the set is 1.6

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100 POINTS+BRAINLIEST 8TH GRADE MATH PT 2: Word problem involving algebraic equations on them-As usual please explain the steps

ikadub [295]

Answer:

$\sf a. \quad \dfrac{21}{10+x}+\dfrac{21}{10-x}=5$

Step-by-step explanation:

Formula for calculating speed:

$\boxed{\sf Speed=\dfrac{Distance}{Time}}$

Therefore:

$\boxed{\sf Time=\dfrac{Distance}{Speed}}$

Given values:

x = the current (in mph)
Speed = 10 mph
Distance = 21 miles
Total time = 5 hours

If the boat is traveling downstream, the current (x mph) will be pushing the boat faster, and so the boat's speed will increase by x mph.

Therefore, the expression for the time it takes for the boat to travel downstream is:

$\sf Time\:(downstream)=\dfrac{21}{10+x}$

If the boat is traveling upstream, the current (x mph) will be pushing against the boat and so the boat's speed will decrease by x mph.

Therefore, the expression for the time it takes for the boat to travel upstream is:

$\sf Time\:(upstream)=\dfrac{21}{10-x}$

Therefore, if the total time it takes to travel downstream and upstream is 5 hours:

$\implies \sf \dfrac{21}{10+x}+\dfrac{21}{10-x}=5$

To solve for x:

$\implies \sf \dfrac{21}{10+x}+\dfrac{21}{10-x}=5$

$\implies \sf \dfrac{21(10-x)}{(10+x)(10-x)}+\dfrac{21(10+x)}{(10-x)(10+x)}=5$

$\implies \sf \dfrac{21(10-x)+21(10+x)}{(10+x)(10-x)}=5$

$\implies \sf21(10-x)+21(10+x)=5(10+x)(10-x)$

$\implies \sf 210-21x+210+21x=5(100-10x+10x-x^2)$

$\implies \sf 420=500-5x^2$

$\implies \sf 5x^2=80$

$\implies \sf x^2=16$

$\implies \sf x=\pm4$

Therefore, the rate of the current is 4 mph.

8 0

2 years ago

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Multiple choice help me pls!

Katena32 [7]

Answer:

multiply all your numbers once you get your answer it will come together

6 0

3 years ago

Gabrielle surveyed a random sample of 40 students in her school's cafeteria about whether they ate the cafeteria's tomato soup.

den301095 [7]

Part A:
14/40=x/840
14*840=40x
11760=40x
294=x
x=294
194 are expected to eat the tomato soup

Part B:
find the average of 10,11, and 14
35/3=11.67

11.67/40=x/840
40x=11.67*840
9802.8=40x
x=245.07

245.07/840
0.29175*100 = 29.175

29.175%

8 0

4 years ago

The sum of two numbers is –40. One number

sasho [114]

Answer:

-27 + -13 = -40

Step-by-step explanation:

3 0

3 years ago

Which inequality is represented by the graph

Kruka [31]

C is the correct answer

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4 years ago

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