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3 years ago

7

Jared had 5 chocolate bars left over from Halloween. During a party with 5 of his other friends, they shared the chocolate bars.

How much of a chocolate bar did Jared and each of his friends get to eat?

1 answer:

riadik2000 [5.3K]3 years ago

3 0

Answer:

1 for each friend

Step-by-step explanation:

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In a factory there are 100100 units of a certain product, 55 of which are defective. We pick three units from the 100 units at r

Nadya [2.5K]

Answer:

There is a 33.67% probability that exactly one of them is defective.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Here, we can have different formats. For example, D-ND-ND is the same as ND-D-ND, that is, the ordering is not important. So we use the combinations formula.

Combinations formula:

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

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

Desired outcomes

One defective(one from a set of 55) and two non defective(two from a set of 45). So

$D = C_{55,1}*C_{45,2} = \frac{55!}{54!1}*\frac{45!}{43!2!} = 55*45*22 = 54450$

Total outcomes

Three from a set of 100. So

$T = C_{100,3} = \frac{100!}{97!3!} = 161700$

What is the probability that exactly one of them is defective

$P = \frac{D}{T} = \frac{54450}{161700} = 0.3367$

There is a 33.67% probability that exactly one of them is defective.

4 0

3 years ago

Here is a circle, centre O, and the tangent to the circle at the point (-3, 4) on the circle. У P (-3, 4) X -5 O Oา Find an equa

sattari [20]

Answer:

$y=\frac{3}{4}x+\frac{25}{4}$

Step-by-step explanation:

when a line is tangent to a circle, it is perpendicular to the line from the center of the circle to the intersection of the line and the circle. so first we are going to find the slope of the line in the circle.

to find the slope use the formula $\frac{y_2-y_1}{x_2-x_1}$

$\frac{4-0}{-3-0}=\frac{4}{-3}=-\frac{4}{3}$ so the slope is -4/3

the slope of the line perpendicular to this is the opposite reciprocal: 3/4 so now we have y= 3/4 x +b, to find b plug in the point (-3,4) to get 4=-9/4 +b, b=25/4 the equation is y=3/4 x +25/4

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3 years ago

7/10-1/2=<br> what is seven tenths minus one half

Setler [38]

You could make them have the same denominator, making it 7/10-5/10=2/10.
The answer is 2/10, or simplified, 1/5.

5 0

3 years ago

100 PTS!! Solve the system of equations below by graphing.

Licemer1 [7]

Answer: x=2.9, y=-1.6 and x=-1.7, y=6.7

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3 years ago

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Find the equation of a line perpendicular to y - 1= -x that passes through the

Goryan [66]

Answer:

4

Step-by-step explanation:

firstly you separate y

y=-x-1

which means that the slope is equal to -1

then you flip the slope so -1 over -1 which is equal 1

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2 years ago