1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
OLEGan [10]
3 years ago
12

A jar contains 38 marbles. It has 10 red, 22 black and 6 green marbles. Two marbles are drawn, the first is not returned before

the second one is drawn. What is the probability that both marbles are black?
P(Both Black) = 11 / 19

P(Both Black) = 231 / 703

P(Both Black) = 231 / 722

P(Both Black) = 121 / 361
Mathematics
1 answer:
Mashutka [201]3 years ago
5 0

<u>Answer:</u>

The correct answer option is 231 / 703

<u>Step-by-step explanation:</u>

We are given that a jar has 38 marbles, out of which 10 are red, 22 are black and 6 are green. Two marbles are drawn and the first marble is not returned when the second one is drawn.

We are to find the probability that both marbles are black.

1st draw: P (black) = \frac{22}{38} =\frac{11}{19}

2nd draw: P (black) = \frac{21}{37}

P (Both Black) = \frac{11}{19} \times \frac{21}{37} = 231 / 703

You might be interested in
Logan took out $23,400 in student loans to attend college at a compound interest rate of 5%. He deferred payments for two years.
blagie [28]

Answer:

$25,740

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 23400 × 0.05 × 2 = 2340

I = $ 2,340.00

The simple interest accumulated

on a principal of $ 23,400.00

at a rate of 5% per year

for 2 years is $ 2,340.00.

8 0
3 years ago
Find the slope of a line parallel to the line given
hram777 [196]
The answer is C hope this helped
5 0
3 years ago
The dye dilution method is used to measure cardiac output with 3 mg of dye. The dye concentrations, in mg/L, are modeled by c(t)
Lemur [1.5K]

Answer:

Cardiac output:F=0.055 L\s

Step-by-step explanation:

Given : The dye dilution method is used to measure cardiac output with 3 mg of dye.

To Find : Find the cardiac output.

Solution:

Formula of cardiac output:F=\frac{A}{\int\limits^T_0 {c(t)} \, dt} ---1

A = 3 mg

\int\limits^T_0 {c(t)} \, dt =\int\limits^{10}_0 {20te^{-0.06t}} \, dt

Do, integration by parts

[\int{20te^{-0.6t}} \, dt]^{10}_0=[20t\int{e^{-0.6t} \,dt}-\int[\frac{d[20t]}{dt}\int {e^{-0.6t} \, dt]dt]^{10}_0

[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-20te^{-0.6t}}{0.6}+\frac{20}{0.6}\int {e^{-0.6t} \,dt]^{10}_0

[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-20te^{-0.6t}}{0.6}+\frac{20e^{-0.6t}}{(0.6)^2}]^{10}_{0}

[\int{20te^{-0.6t}} \, dt]^{10}_0=[\frac{-200e^{-6}}{0.6}+\frac{20e^{-6}}{(0.6)^2}]+\frac{20}{(0.60^2}

[\int{20te^{-0.6t}} \, dt]^{10}_0=\frac{20(1-e^{-6}}{(0.6)^2}-\frac{200e^{-6}}{0.6}

[\int{20te^{-0.6t}} \, dt]^{10}_0\sim {54.49}

Substitute the value in 1

Cardiac output:F=\frac{3}{54.49}

Cardiac output:F=0.055 L\s

Hence Cardiac output:F=0.055 L\s

4 0
3 years ago
Deshawn paid $9.20 for coffee and left a $2.30 tip.If he the same rate later today while out at dinner,how much will his tip be
xenn [34]
Around 4.50 would be the tip
8 0
3 years ago
SOLVED
Nastasia [14]
5)
a. The equation that describes the forces which act in the x-direction: 
<span>     Fx = 200 * cos 30 </span>
<span>
b. The equation which describes the forces which act in the y-direction: </span>
<span>     Fy = 200 * sin 30 </span>

<span>c. The x and y components of the force of tension: </span>
<span>    Tx = Fx = 200 * cos 30  </span>
<span>    Ty = Fy = 200 * sin 30 </span>

d.<span>Since desk does not budge, </span><span>frictional force = Fx
                                                                        = 200 * cos 30 </span>

<span>                                                 Normal force </span><span>= 50 * g - Fy
                                                                       = 50 g - 200 * sin 30 
</span>____________________________________________________________
6)<span> Let F_net = 0</span>
a. The equation that describes the forces which act in the x-direction: 
    (200N)cos(30) - F_s = 0

b. The equation that describes the forces which act in the y-direction:
    F_N - (200N)sin(30) - mg = 0

c. The values of friction and normal forces will be:
     Friction force= (200N)cos(30),
     
The Normal force is not 490N in either case...
Case 1 (pulling up)
F_N = mg - (200N)sin(30) = 50g - 100N = 390N

Case 2 (pushing down)
F_N = mg + (200N)sin(30) = 50g + 100N = 590N
4 0
3 years ago
Other questions:
  • (10 points)4 5/6 + 9 5/9 =
    9·2 answers
  • 2 &lt; 17 ÷ e <br><br>please help I don't know how to solve this
    15·1 answer
  • Ken paid $12 for tow magazines. The cost of each magazine was a multiple of $3. What are the possible prices of the magazines?
    12·1 answer
  • Is the LCM of a pair of numbers ever equal to one of the numbers?
    11·1 answer
  • Natalie baked 20 cupcakes for a fundraising event at school. On the way to the event she dropped 35% of the cupcakes on the floo
    12·1 answer
  • A person follows the recipe proportions and uses 14 cups of baking soda. Exactly how many quarts of white vinegar will the perso
    13·2 answers
  • a hockey team scored the following number of goals in their last 5 games: 2,3,5,3,2 which is the mean absolute deviation of the
    13·1 answer
  • 6c*2-5d + 8= <br><br> When c= 5 and d= 4??<br><br> Help I’m in class PLEASE
    13·1 answer
  • HURRY FAST PLSSSSSSSS
    8·2 answers
  • Expand to write an equivalent expression <br> -1/4 (-8x + 12y)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!