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Shalnov [3]
3 years ago
11

The amount of time it takes a swimmer to swim a race is inversely proportional to the average speed of the swimmer. A swimmer fi

nishes a race in 25 seconds with an average speed of 6 feet per second. Find the average speed of the swimmer if it takes 50 seconds to finish the race.
Mathematics
1 answer:
Ket [755]3 years ago
4 0

9514 1404 393

Answer:

  3 feet per second

Step-by-step explanation:

If the time is multiplied by 2, the inverse relationship tells you the speed is multiplied by 1/2.

  (1/2)(6 ft/s) = 3 ft/s

The swimmer's average speed is 3 ft/s.

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Probability of father and mother born in Michigan independent.<br><br>​
raketka [301]

Answer:

  A.  no, not independent

Step-by-step explanation:

Let A = "father born in Michigan" and B = "mother born in Michigan".

If A and B are independent, then ...

  P(A|B) = P(A)

The table tells us ...

  P(A|B) = P(A&B)/P(B) = 0.29/0.73 ≈ 0.397

and

  P(A) = 0.48

Since 0.48 ≠ 0.397, we must conclude that the events are not independent.

6 0
3 years ago
What is the equation of a line that passes through the points (1,6) and (2,1)?
algol13

Answer:

y = -5x+11

Step-by-step explanation:

3 0
3 years ago
What is 6% of 1 trillion dollars written in expanded form?
Otrada [13]
 Im think the answer is: 60000000000
6 0
3 years ago
Bobby put 1/3 of his lawn mowing money into his savings and uses the remaining 2/5 to buy a video game. If he has $12 left, how
Alexeev081 [22]

Given:

Bobby put 1/3 of his lawn mowing money into his savings

He uses the remaining 2/5 to buy a video game.

He has $12 left.

To find:

The amount did he have at first.

Solution:

Let x be the initial amount.

Bobby put 1/3 of his lawn mowing money into his savings. So, the remaining amount is

x-\dfrac{1}{3}x=\dfrac{2}{3}x

He uses the remaining 2/5 to buy a video game. Then the remaining amount is

Remaining=\dfrac{2}{3}x-\dfrac{2}{3}x\times \dfrac{2}{5}

Remaining=\dfrac{2}{3}x-\dfrac{4}{15}x

Remaining=\dfrac{10x-4x}{15}

Remaining=\dfrac{6x}{15}

Remaining=\dfrac{2x}{5}

It is given that the remaining amount is $12.

12=\dfrac{2x}{5}

12\times 5=2x

60=2x

Divide both sides by 2.

\dfrac{60}{2}=x

30=x

Therefore, Bobby have $30 at first.

6 0
3 years ago
Factor the polynomial by grouping : x^3+5x^2-6x-30
andrew-mc [135]

The idea is to pair up the terms, factor each sub-group, and then pull out the overall GCF to fully factor.

x^3+5x^2-6x-30

(x^3+5x^2)+(-6x-30)

x^2(x+5)+(-6x-30)

x^2(x+5)-6(x+5)

(x^2-6)(x+5)

-------------

Answer: (x^2-6)(x+5)

4 0
3 years ago
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