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Alja [10]
3 years ago
9

You pick two marbles from a bag with 5 blue marbles, 3 red marbles, and 2 green marbles. You pick the second marble without repl

acing the first one. Find each probability.
P(red then blue)
P(two blues)
P(green then yellow)
Mathematics
1 answer:
SOVA2 [1]3 years ago
7 0

Answer:

1/9

Step-by-step explanation:

3 red

2 blue

5 green

Total

3

+

2

+

5

=10

Probability of blue is

2

10

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

Second condition:

3 red

1 blue

5 green

New total

3

+

1

+

5

=

9

Probability of green is

5

9

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

Total probability of selecting this path is:

2

10

×

5

9

=

2

9

×

5

10

 

=

2

9

×

1

2

=

1

9

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Solve ABC <br>c=10, B=35°, C=65%​
NISA [10]

Answer:

Part 1) The measure of angle A is A=80\°

Part 2) The length side of a is equal to a=10.9\ units

Part 3) The length side of b is equal to b=6.3\ units

Step-by-step explanation:

step 1

Find the measure of angle A

we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

so

A+B+C=180\°

substitute the given values

A+35\°+65\°=180\°

A+100\°=180\°

A=180\°-100\°=80\°

step 2

Find the length of side a

Applying the law of sines

\frac{a}{sin(A)}=\frac{c}{sin(C)}

substitute the given values

\frac{a}{sin(80\°)}=\frac{10}{sin(65\°)}

a=\frac{10}{sin(65\°)}(sin(80\°))

a=10.9\ units

step 3

Find the length of side b

Applying the law of sines

\frac{b}{sin(B)}=\frac{c}{sin(C)}

substitute the given values

\frac{b}{sin(35\°)}=\frac{10}{sin(65\°)}

b=\frac{10}{sin(65\°)}(sin(35\°))

b=6.3\ units

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3 years ago
Minerva buys used bicycles, repairs them, and sells them for a profit. She bought a bicycle for $10, repaired it, and sold it fo
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it is an increase of 400%

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3 years ago
A minibus drives 101 km in 1 hour. What is its average speed in kilometers per hour?
tekilochka [14]

Answer:

Step-by-step explanation:

Average speed is distance divided by time.

s=(101km)/(1hr)

s=101 km/hr

4 0
3 years ago
A bacteria colony increases in size at a rate of 4.0581e1.6t bacteria per hour. If the initial population is 36 bacteria, find t
Harrizon [31]

Answer:

1560

Step-by-step explanation:

The rate of Increase of the population (P) of the bacteria is given as:

\frac{dP}{dt} =4.058e^{1.6t}

dP =4.058e^{1.6t}}dt\\Taking\: Integrals\\\int dP =4.058 \int e^{1.6t}dt\\P(t)=\frac{4.058}{1.6} (e^{1.6t} +K)\\P(t)=2.53625 (e^{1.6t} +K)

Where k is a constant of Integration.

At t=0, P(t)=36

36=2.53625 (e^{1.6*0} +K)\\36=2.53625 (e^{0} +K)\\36=2.53625 (1 +K)\\36=2.53625 +2.53625K\\K=13.19

Therefore:

P(t)=2.53625 (e^{1.6t} +13.19)\\At \: t=4\\P(4)=2.53625 (e^{1.6*4} +13.19)\\=1559.88\\P(4)=1560

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