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AleksAgata [21]
3 years ago
7

An urn contains 5 red balls and 2 green balls. Two balls are drawn one after the other. What is the probability that the second

ball is red?
Mathematics
1 answer:
AleksAgata [21]3 years ago
7 0

Answer:

<em>The probability that the second ball is red is 71%</em>

Step-by-step explanation:

<u>Probabilities</u>

We know there are 5 red balls and 2 green balls. Let's analyze what can happen when two balls are drawn in sequence (no reposition).

The first ball can be red (R) or green (G). The probability that it's red is computed by

\displaystyle P(R)=\frac{5}{7}

The probability is's green is computed by

\displaystyle P(G)=\frac{2}{7}

If we have drawn a red ball, there are only 4 of them out of 6 in the urn, so the probability to draw a second red ball is

\displaystyle P(RR)=\frac{5}{7}\cdot \frac{4}{6}=\frac{10}{21}

If we have drawn a green ball, there are still 5 red balls out of 6 in the urn, so the probability to draw a red ball now is

\displaystyle P(GR)=\frac{2}{7}\cdot \frac{5}{6}=\frac{5}{21}

The total probability of the second ball being red is

\displaystyle P(XR)=\frac{10}{21}+\frac{5}{21}=\frac{5}{7}=0.71

The probability that the second ball is red is 71%

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X+2y=-9<br><br> Solve for Y km
kow [346]

Answer:

y = - 1/2x - 4.5

Step-by-step explanation:

Step 1:

x + 2y = - 9         Equation

Step 2:

2y = - x - 9       Subtract x on both sides

Answer:

y = - 1/2x - 4.5             Divide 2 on both sides

Hope This Helps :)

4 0
2 years ago
Kim has 8 dollars less than twice Ricky. If
olya-2409 [2.1K]

Based on the information given, it should be noted that the correct option is C. 3x - 8.

<h3>Solving equations.</h3>

From the information given, it was stated that Kim has 8 dollars less than twice Ricky. This will be:

= (2 × x) - 8.

= 2x - 8

Also, Ricky has x dollars. Therefore, the amount that they have together will be:

= 2x - 8 + x

= 3x - 8

Learn more about equations on:

brainly.com/question/13763238

4 0
2 years ago
A bed is on sale for 25% off of its original price. It originally cost $879.00. How much is the sale price of the bed?
Arturiano [62]

Answer:

$659.25

Step-by-step explanation:

Since its 25 percent off we need to see what it would look as a decimal

1-.25=.75

879times.75= 659.25

5 0
2 years ago
Read 2 more answers
On december 1, jonas jewelry wholesale center started with an inventory of 1,000 watches. shipments of 168, 231, and 411 were se
denis-greek [22]

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

Total watches in an inventory = 1000

Number of shipments sent out = 168, 231, 411

So, Remaining inventory of watches would be :

1000-(168+231+411)\\\\=1000-810\\\\=190

New receipts = 21, 145 and 11

So, Number of watches on hand becomes :

190+(21+145+11)\\\\=367

Hence, Third option is correct.

5 0
3 years ago
How do you find the <br> y-intercept and the slope for number 11
Sophie [7]
The first step is to find the slope. Use the slope formula

m = (y2-y1)/(x2-x1)

The two points are (x1,y1) = (-1,5) and (x2,y2) = (2,-1)

So,
x1 = -1
y1 = 5
and
x2 = 2
y2 = -1
will be plugged into the slope formula to get...
m = (y2-y1)/(x2-x1)
m = (-1-5)/(2-(-1))
m = (-1-5)/(2+1)
m = (-6)/(3)
m = -2

The slope is -2

Use m = -2 and one of the points to find the y intercept b. I'll use the point (x,y) = (-1,5) ---> x = -1, y = 5

y = mx+b ... slope intercept form
5 = -2*(-1)+b
5 = 2+b
5-2 = 2+b-2
3 = b
b = 3

The y intercept is 3

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

m = -2 is the slope
b = 3 is the y intercept

Therefore y = mx+b turns into y = -2x+3 as the equation that goes through the two points
6 0
3 years ago
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