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3 years ago

9

David has a bag of coins. The bag contains 7 dimes, 2 nickels, and 6 pennies. He will randomly select 2 coins from the bag one a

t a time without replacement. What is the probability that David will select a dime first and then a penny

1 answer:

julia-pushkina [17]3 years ago

7 0

7 out of 17 coin in the bag

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If <br> DF<br> and <br> GI<br> are parallel lines and mIHE = 65°, what is mDEH?

12345 [234]

Answer:

literally i have no clue sorry

Step-by-step explanation:

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Determine the volume of a cube with a side length of 7.5m

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Answer:

V≈421.88

Step-by-step explanation:

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3 years ago

Write a minor function for the line with the slope of -5 that passes through points (7,3)

Ilia_Sergeevich [38]

The equation of the line is $5x+y-38=0$

Step-by-step explanation:

The slope is $m=-5$

Also, the line passes through the points $(7,3)$

To find a line with slope $m=-5$ that passes through the points $(7,3)$ , let us use the equation of a line with slope that passes through the point is given by $(y-y_{1} )=m(x-x_{1} )$ where m is the slope and $(x_{1} ,y_{1} )$ are the points $(7,3)$ .

Thus, substituting the values in the equation of a line, we get,

$(y-3)=-5(x-7)$

Multiplying the term $(x-7)$ by -5, we get,

$y-3=-5 x+35$

Adding both sides by 5x,

$5x+y-3=35$

Subtracting 35 from both sides of the equation,

$5x+y-38=0$

Thus, the equation of the line is $5x+y-38=0$

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3 years ago

X÷0.4=2 1/9 ÷3 1/6 solve for x

Diano4ka-milaya [45]

Answer:

x = 0.27

Step-by-step explanation:

Given:

x÷0.4=2 1/9 ÷3 1/6

To Find:

x = ?

Solution:

First we will see what is

$2\frac{1}{9}= \frac{2\times 9 + 1}{9} \\\\2\frac{1}{9}= \frac{18 + 1}{9} \\\\2\frac{1}{9}= \frac{19}{9} \\\\Similarly,\\\\3\frac{1}{6}= \frac{3\times 6 + 1}{6} \\\\3\frac{1}{6}= \frac{18 + 1}{6} \\\\3\frac{1}{6}= \frac{19}{6} \\$

Now the final equation is

$\frac{x}{0.4} =\frac{\frac{19}{9}}{\frac{19}{6}}\\\\\frac{x}{0.4} =\frac{6}{9}\\\\\frac{x}{0.4} =\frac{2}{3}\\\\\therefore x = 0.4\times \frac{2}{3}\\\\x = \frac{0.8}{3}\\\\x=0.2666\\\\x=0.27$

x = 0.27

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3 years ago

A pharmacist receives a shipment of 22 bottles of a drug and has 3 of the bottles tested. If 5 of the 22 bottles are contaminate

Norma-Jean [14]

Answer:

There is a 44.16% probability that exactly 1 of the tested bottles is contaminated.

Step-by-step explanation:

$C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem, we have that:

Total number of combinations:

$C_{22,3} = \frac{22!}{3!(18)!} = 1540$

Desired combinations:

It is 1 one 5(contamined) and 2 of 17(non contamined). So:

$C_{5,1}*C_{17,2} = 5*17*8 = 680$

What is the probability that exactly 1 of the tested bottles is contaminated?

$P = \frac{680}{1540} = 0.4416$

There is a 44.16% probability that exactly 1 of the tested bottles is contaminated.

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3 years ago