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Arada [10]
3 years ago
10

A bag contains 6 red marbles, 10 white marbles, and 7 blue marbles. You draw 4 marbles out at random, without replacement. What

is the probability that all the marbles are red
Mathematics
1 answer:
Lapatulllka [165]3 years ago
4 0

Answer:

3/1771

Step-by-step explanation:

Probability is the chance or likelihood that an event will occur.

Probability = expected outcome/total outcome

Total outcome = total number of marbles

Total outcome = 6+7+10 = 23marbles

If four marbles are drawn, the probability that they are all red is expressed as;

Pr(picking the first red marble) = 6/23

Since it is without replacement, the total marble becomes 22

Pr(picking the second) = 5/22

Pr(picking the third marbles = 4/21

Pr(picking the 4th marble) = 3/20

Note that the number of red marbles keep reducing and the total marble keep reducing as well.

Pr(picking the 4marbles) = 6/23×5/22×4/21×3/20 (we multiplied because or is an independent events)

Pr(picking the 4marbles) = 360/212520

Pr(picking 4 red marbles) = 72/42504 =36/21,252

= 9/5313

= 3/1771

Hence the probability of picking 4 marbles at random without replacement is 3/1771

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13x+5y=90 what is x? what is y?
Leona [35]

Answer:

X=-5y/13+90/13, Y=-13x/5+18

Step-by-step explanation:

You need to solve the equation for X and Y.

Solving for X:

13x+5y=90

Subtract 5y: 13x=-5y+90

Divide by 13: x=-5y/13+90/13

--

For Y:

13x+5y=90

Subtract 13x: 5y=-13x+90

Divide by 5: y=-13x/5+90/5

(Simplifies to -13x/5+18)

3 0
3 years ago
A manufacturing plant earned $80 per man-hour of labor when it opened. Each year, the plant earns an additional 5% per man-hour.
baherus [9]

A function that gives the amount that the plant earns per man-hour t years after it opens is \mathrm{A}(\mathrm{t})=80 \times 1.05^{\mathrm{t}}

<h3><u>Solution:</u></h3>

Given that  

A manufacturing plant earned $80 per man-hour of labor when it opened.

Each year, the plant earns an additional 5% per man-hour.

Need to write a function that gives the amount A(t) that the plant earns per man-hour t years after it opens.  

Amount earned by plant when it is opened = $80 per man-hour

As it is given that each year, the plants earns an additional of 5% per man hour

So Amount earned by plant after one year = $80 + 5% of $80 = 80 ( 1 + 0.05) = (80 x 1.05)

Amount earned by plant after two years is given as:

=(80 \times 1.05)+5 \% \text { of }(80 \times 1.05)=(80 \times 1.05)(1.05)=80 \times 1.052

Similarly Amount earned by plant after three years =80 \times 1.05^{t}

\begin{array}{l}{\Rightarrow \text { Amount earned by plant after } t \text { years }=80 \times 1.05^{t}} \\\\ {\Rightarrow \text { Required function } \mathrm{A}(t)=80 \times 1.05^{t}}\end{array}

Hence a function that gives the amount that the plant earns per man-hour t years after it opens is \mathrm{A}(t)=80 \times 1.05^{t}

5 0
3 years ago
Please help Assssaaaappp!!! <br> almost due and im having trouble.
USPshnik [31]
A. Nancy has the greatest spread because her longest training time was 105 and her shortest being 82, making the spread 23, and Peter’s spread is only... Longest: 112 Shortest: 92 making it 20!
b. Nancy. Middle %50 would be Peter’s 110-92 making the spread 18, and Nancy’s spread is 93-90 making the spread making it 12
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3 0
2 years ago
If $19,000 is invested in an
Brrunno [24]

Answer:$58900

Step-by-step explanation:

simple interest =amount x years x interest +amount

so it would be

$19000x30x7%+£19000=$58,900

4 0
2 years ago
A meal of a chicken sandwich and some pasta salad had 120 grams of carbohydrates. The pasta salad had 30 grams more than twice t
igomit [66]
C + p = 120.....c = chicken sandwich carbs, p = pasta salad carbs
p = 2c + 30

c + (2c + 30) = 120
3c + 30 = 120
3c = 120 - 30
3c = 90
c = 90/3
c = 30 grams <=== carbs in the chicken sandwich

p = 2c + 30
p = 2(30) + 30
p = 60 + 30
p = 90 grams <=== carbs in the pasta salad
3 0
3 years ago
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