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Vanyuwa [196]
3 years ago
7

Penny has a cup containing 10 quarters, 8 dimes, and 2 nickels. If Penny randomly draws with replacement, find the probability s

he must draw six times to draw a dime
Mathematics
1 answer:
kogti [31]3 years ago
7 0

Answer:

0.4%

Step-by-step explanation:

In this case, because the coins have been replaced, the final probability would be multiplying the same probability six times (or raising it to exponent 6.). In other words, the probability of a dime coming out.

This probability would be the amount of dimes divided by the total number of coins, as follows:

Total coins = 10 + 8 + 2 = 20 coins.

So the probability would be: 8/20 = 2/5

The final probability would then be:

(2/5) ^ 6 = 0.004

In other words, the probability of this event occurring 6 times in a row is 0.4%

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Nutka1998 [239]

Answer:

22.9128

Step-by-step explanation:

5 0
3 years ago
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Lily swims for 5 hours in stream that has a current of 1 mph. She leaves her dock, swims upstream for 2 miles and then swim back
antiseptic1488 [7]

Answer:

Swimming speed in still water is approximately 1.5 mph

Step-by-step explanation:

Given the speed of the current = 1 mph

distance she swims upstream =2 miles,

the total time = 5 hours.

She swam 2 miles upstream against the  current and 2 miles back to the dock with  the current. The formula that relates  distance, time, and rate is d = r t\ \ \ \ or  \ \ \  t= \frac{d}{r}

Let x be the speed in still water.

Then  her speed with the current is x + 1, and

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Total time is equal to 2 miles with upstream and 2 miles downstream.

\frac{2}{x+1}+\frac{2}{x-1}=5\\\\\frac{2(x-1)}{(x+1)(x-1)}+\frac{2(x+1)}{(x-1)(x+1)}=5\\\\\frac{2x-2}{(x^2-1)}+\frac{2x+2)}{(x^2-1)}=5\\\\\frac{2x-2+2x+2)}{(x^2-1)}=5\\\\4x=5(x^2-1)\\4x= 5x^2-5\\0= 5x^2-4x-5

Now Using quadratic formula to solve above equation we get;

x= \frac{-b \±\sqrt{b^2-4ac}} {2a}\\\\here \ \ a= 5,b=-4,c=-5\\\\x= \frac{-(-4) \±\sqrt{(-4)^2-4\times 5\times-5}} {2\times5}\\\\x=\frac{4 \±\sqrt{16+100}} {10}\\\\x=\frac{4 \±\sqrt{116}} {10}=x=\frac{4 \±2\sqrt{29}} {10}= x=\frac{2 \±\sqrt{29}} {5}\\ x \approx 1.5 \ or \ x = -0.7

Since speed must be positive, Hence speed of still water is about 1.5 miles per hour.

3 0
3 years ago
What is the value of y in the equation 5x + 2y = 20, when x = 0. 3 A) 2.5 B) 2.8 C) 9.25 D) 10.75
NemiM [27]
// Plug x into the equation

5(0.3)+2y=20
1.5+2y=20

// Subtract 1.5 from each side

2y=18.5

//Divide each side by 2

y=9.25 (C)
5 0
3 years ago
Solve seven 2/3-1 2/4+3 6/8 choose the numbers to complete complete the next number numbers may be used once or not at all
Bezzdna [24]

Answer:

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Step-by-step explanation:

Solve 7 2/3-1 2/4+3 6/8

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9 + 22/24

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8 0
3 years ago
Plz help me my teacher has been gone on military leave and I'm totally lost
Degger [83]

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~

The Domain: F

The Range: A

X-intercept: C

Y-intercept: D

the functional value: G

Increasing: B

Decreasing: E

Constant: H

6 0
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