answer.
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
frosja888 [35]
2 years ago
13

A goblet contains 222 red marbles, 666 green marbles, and 444 blue marbles. If we choose a marble, then another marble without p

utting the first one back in the goblet, what is the probability that the first marble will be green and the second will be green as well?
Mathematics
2 answers:
Firdavs [7]2 years ago
3 0

Answer : Probability( first will be green and second will be green as well) = 0.024989713

Explanation:

 We have given that,

Number of red marbles = 222

Number of green marbles =666

Number of blue marbles  =444

∴ Total number of marbles =1332

P( \text{first marble will be green and the second will be green as well})= \frac{666}{1332}\times \frac{665}{1331}

=\frac{442890}{1772892}\\=0.024989713

∴ Probability will be 0.024989713

Maksim231197 [3]2 years ago
3 0

Answer:

5/22

Step-by-step explanation:

1/2 x 5/11 = 5/22

You might be interested in
Colin has 18 pencils. How many kids (including Colin) can share these pencils evenly?
julsineya [31]
18 kids right? Or am I dumb? I feel like I’m wrong because this question seems so easy.
5 0
2 years ago
Read 2 more answers
The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airplane each year has increased
taurus [48]

Answer:

2010.

Step-by-step explanation:

We have been given an exponential growth formula P(t)=466\cdot 1.035^t, which represents number of passengers traveling by airplane since 1990.

To find the year in which 900 million passengers will travel by airline, we will equate the given formula by 900 and solve for t as:

900=466\cdot 1.035^t

\frac{900}{466}=\frac{466\cdot 1.035^t}{466}1.9313304721030043=1.035^t

Take natural log of both sides:

\text{ln}(1.9313304721030043)=\text{ln}(1.035^t)

Using property \text{ln}(a^b)=b\cdot \text{ln}(a), we will get:

\text{ln}(1.9313304721030043)=t\cdot \text{ln}(1.035)

0.658209129198=t\cdot 0.034401426717

\frac{0.658209129198}{0.034401426717}=\frac{t\cdot 0.034401426717}{0.034401426717}

19.1331927775=t\\\\t=19.1331927775

This means that in the 20th year since 1990, 900 million passengers would travel by airline.

1990+20=2010

Therefore, 900 million passengers would travel by airline in 2010.

6 0
2 years ago
Which statements are true regarding triangle LMN? Check all that apply.
dimaraw [331]

Answer:

NM = x

LM = x\sqrt{2}

tan (45) = 1

Step-by-step explanation:

Step 1: Pythagoras Theorem

Pythagoras theorem relates the three sides of the triangle in such a way that the sum of the square of base and perpendicular is equal to hypotenuse, such as:

                                        LM^{2} =LN^{2} +NM^{2}

Step 2: Trigonometric Functions

Only for a right angle triangle following three trigonometric relations are valid

                                        sin (\theta) = \frac{opposite}{hypotenuse}

                                        cos (\theta) = \frac{adjacent}{hypotenuse}

                                    tan (\theta)=\frac{sin (\theta)}{cos (\theta)} = \frac{opposite}{adjacent}

Step 3: Verifying all the possible answers

A: Since, LN = x and using tan (45) =1

we can calculate

                                              tan (\theta)= \frac{opposite}{adjacent}

                                           tan (45)= \frac{NM}{x} =1

therefore, NM = x (true)

B: As NM = x therefore it can not be equal to x\sqrt{2\\}.

C: Using Pythagoras Theorem

                                        LM^{2} =LN^{2} +NM^{2}

                                           LM^{2} =x^{2} +x^{2}

                                              LM^{2} =2x^{2}

                                         LM = \sqrt{2x^{2}} = x\sqrt{2}

It can also be proved using trigonometric relation

                                           cos (45) = \frac{x}{LM}

                                            LM = \frac{x}{cos (45)}

As, \frac{1}{cos (45)}= \sqrt{2}

Therefore

                                            LM = x\sqrt{2}

D and E:

Using same approach similar to part A

Since, LN = x and NM = x

we can calculate

                                              tan (\theta)= \frac{opposite}{adjacent}

                                           tan (45)= \frac{x}{x} =1

Therefore, tan (45) = 1  and not equal to \frac{\sqrt{2} }{2}

3 0
2 years ago
Read 2 more answers
Yan is climbing down a ladder. Each time he descends four rungs on the ladder, he stops to see how much farther he has to go. Wh
8090 [49]

Answer:

Descends

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
The water level of a river is 170 feet. The river recedes 4 feet each year. Ingrid claims that the equation that represents this
Vladimir [108]

Sample Answer: No, Ingrid is incorrect. The initial value in the scenario is 170 feet, which represents the y − intercept. Receding 4 feet in the scenario represents the rate of change, which is the slope. In slope-intercept form, y = mx + b, where m represents slope and b represents the y−intercept, so the correct equation is y = −4x + 170.


3 0
2 years ago
Read 2 more answers
Other questions:
  • Find the terminal point determined by t= 10pi/3.
    14·2 answers
  • What is one of the zeros of the function shown in this graph?
    14·2 answers
  • 3. The weights of apples in a shipment from Al's Orchards are normally distributed with a mean of 142 grams and a standard devia
    15·1 answer
  • A light bulb's brightness is reduced when placed behind a screen. The amount of visible light produced by the light bulb decreas
    10·2 answers
  • A flower vendor sells roses for 50 cents each. How much does she pay per flower is she makes $6.00 on every twenty dollars worth
    5·1 answer
  • One end of a ladder 32 feet long is placed 10 feet from the outer wall of a building that stands on the ground level. How far up
    12·1 answer
  • Helen draws a random circle.
    7·1 answer
  • Shelly states that the triangles below are similar. Which proportion supports her statement? Triangle S T R. Side S T is 6, T R
    14·2 answers
  • Question 2 of 20, Step 1 of 1
    15·1 answer
  • Use differentials to estimate the amount of material in a closed cylindrical can that is 60 cm high and 24 cm in diameter if the
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!