30 points!!!!!!
There are 6 red marbles, 9 blue marbles, and 10 green marbles in a bag.

What is the theoretical probability of randomly drawing a red marble and then a green marble?

10%
9.6%
64%
16%

Answers

Answer 1

Answer:

A or B depending on whether replacement takes place

Step-by-step explanation:

Without replacement

probability of getting a red marble=6/25

probability of getting a green marble (considering no replacement of marble drawn has taken place)=10/24

probability of randomly drawing a red marble and then a green marble=(6/25)*(10/24)=0.1=10%

With replacement

probability of getting a red marble=6/25

probability of getting a green marble (considering replacement of marble drawn has taken place)=10/25

probability of randomly drawing a red marble and then a green marble=(6/25)*(10/25)=0.096=9.6%


Related Questions

[tex]-3x^{2} -4y^{2} -z^{2}+6xy-6x+4z[/tex]

Answers

what are the directions??

5. Determine the formula for the following arithmetic sequence: 4, 7, 10, 13, ...

Answers

Answer:

[tex]a_{n}[/tex] = n + 3

Step-by-step explanation:

Each number increases by 3. Therefore, n+3.

If 2m−6=8m
2
m
-
6
=
8
m
then 3m=
3
m
=


A. 3
B. -1
C. -3
D. -6
E. I don't know.

Answers

Answer:

3m = -3

Step-by-step explanation:

2m−6=8m

Subtract 2m from each side

2m−6-2m=8m-2m

-6 = 6m

Divide by 6

-6/6 = 6m/6

-1 = m

3m = 3(-1) = -3

S O L U T I O N :

2m - 6 = 8m

2m - 8m = 6

-6m = 6

m = -6/6

m = -1

Hence, the answer is -1

A survey asked 50 students if they play an instrument and if they are in band.
1.25 students play an instrument.
2. 20 students are in band.
3. 30 students are not in band.
Which table shows these data correctly entered in a two-way frequency?

Answers

C, just look at the "Total" for each single information.

the values in the inner grid combine multiple informations.

The table shows these data correctly entered in a two-way frequency is table C.

What is Two way Frequency?

Two-way frequency tables show the potential connections between two sets of categorical data visually. The table's four (or more) inside cells contain the frequency (count) data, which is displayed above and to the left of the table's designated categories.

We have been the information 25 students play an instrument 20 are in a band 30 are not in a band.

So, the two way table is:

                                     Band            Not in Band       Total

Play instrument                20                   5                     25

Do not play instrument     0                     25                 25

Total                                  20                    30                50

So, Table C is Correct.

Learn more about two-way frequency here:

https://brainly.com/question/9033726

#SPJ7

Consider rolling a fair die twice and tossing a fair coin nineteen times. Assume that all the tosses and rolls are independent.

The chance that the total number of heads in all the coin tosses equals 9 is(Q)_____ , and the chance that the total number of spots showing in all the die rolls equals 9 is(Q)__________ The number of heads in all the tosses of the coin plus the total number of times the die lands with an even number of spots showing on top (Q)______(Choose A~E)

a. has a Binomial distribution with n=31 and p=50%
b. does not have a Binomial distribution
c. has a Binomial distribution with n=21 and p=50%
d. has a Binomial distribution with n=21 and p=1/6
e. has a Binomial distribution with n=31 and p=1/6

Answers

Answer:

Hence the correct option is option c has a Binomial distribution with n=21 and p=50%.

Step-by-step explanation:

1)  

A coin is tossed 19 times,  

P(Head)=0.5  

P(Tail)=0.5  

We have to find the probability of a total number of heads in all the coin tosses equals 9.  

This can be solved using the binomial distribution. For binomial distribution,  

P(X=x)=C(n,x)px(1-p)n-x  

where n is the number of trials, x is the number of successes, p is the probability of success, C(n,x) is a number of ways of choosing x from n.  

P(X=9)=C(19,9)(0.5)9(0.5)10  

P(X=9)=0.1762  

2)  

A fair die is rolled twice.  

Total number of outcomes=36  

Possibilities of getting sum as 9  

S9={(3,6),(4,5)(5,4),(6,3)}  

The total number of spots showing in all the die rolls equals 9 =4/36=0.1111  

3)  

The event of getting a good number of spots on a die roll is actually no different from the event of heads on a coin toss since the probability of a good number of spots is 3/6 = 1/2, which is additionally the probability of heads. the entire number of heads altogether the tosses of the coin plus the entire number of times the die lands with a good number of spots has an equivalent distribution because the total number of heads in 19+2= 21 tosses of the coin. The distribution is binomial with n=21 and p=50%.

complete explanation ​

Answers

Answer:

[tex]x ^{m - 3} \div x^{m - 4} \\ \frac{ {x}^{m - 3} }{ {x}^{m - 4} } \\ \frac{ {x}^{m - 3 - m + 4} }{x} \\ \frac{ {x}^{1} }{x} \\ x \: and \: x \: will \: cancel \: each \: other \: hence \: answer \: will \: be \: 1[/tex]

what is the distance between the points (0, 10) and (–9, 1).

Answers

Answer:

9√2 units

Explanation:

Coordinates of point 1 = (0,10)

Coordinates of point 2 = (-9,1)

distance

=√[(x2-x1)²+(y2-y1)]²

= √[(-9-0)²+(1-10)]²

=> √[(-9)²+(-9)]²

=> √(81+81)

=> √162

=> 9√2

So, the distance between these points is 9√2 units.

Economists predict that Americans will spend $1,180 on electonics in
2020. this is a 6.8% increase from last year. What did Americans spend
last year?

Answers

Money spent by Americans last year=$1,180-6.8% of $1,180
=$1099.76

Plz someone help me

Answers

Step-by-step explanation:

yo

so sorry I can't

really answer it

6x47
Which multiple of 10 is closest to 47?

Answers

Answer:

50 is your answer:)

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

50 is the multiple of 10 that is closest to 47.

A clothing factory makes small, medium, and large sweaters. Last week, the factory made
1,612 sweaters. The factory made 3 times as many small sweaters as large sweaters. They
made 3 times as many medium sweaters as small sweaters.
How many small sweaters did the factory make last week?

Answers

This requires finding the number of small sweaters the company made last week

Number of small sweaters the company produced last week is 372

Total sweaters made = 1,612

Let

Small sweaters = 3x

Medium sweaters = x

Large sweaters = 3(3x) = 9x

Total = small + medium + large

1,612 = 3x + x + 9x

1612 = 13x

Divide by 13

x = 1612/13

Medium sweaters = x = 124

Small sweaters = 3x

= 3(124)

= 372

Read more:

https://brainly.com/question/24326559

Find the lengths of the other two sides of the isosceles right triangle

Answers

Answer:

[tex]x=5[/tex]

[tex]h=\sqrt{(5)^{2}+x^{2} } =\sqrt{(5)^{2}+(5)^{2} }[/tex]

[tex]h=\sqrt{25+25} =\sqrt{50}[/tex]

[tex]h=5\sqrt{2}[/tex]

OAmalOHopeO

Jason has eaten 45 chocolates in 5 days. Each days, he ate 2 chocolates more than the previous day. How many chocolates did he ate on the first day?

Answers

Answer:5

Step-by-step explanation:

On the first day he ate 5. Second day he ate 7. Then 9, 11, and finally 13. That all equals to 45. I don't know for sure though...

What are four ways an inequality can be written?

Answers

Answer:

There are four ways to represent an inequality: Equation notation, set notation, interval notation, and solution graph.

Elijah invested $ 830 in an account paying an interest rate of 4.9% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 13 years?

Answers

Answer:

$9986

Step-by-step explanation:

You got 13*4=52 quarters in 13 years.

Amount = 830*(1+0.049)^52

Amount = 9986.27

d) A movie time was 2hours. 10% of the time was taken advertisement. How long was the actual movie? ​

Answers

Answer:

108 minutes

Step-by-step explanation:

Lets say that M+A is the time of the movie and the advertisement, so;

M+A = 2

And we know that 10% of that time is advertisement, mathematically that is:

A = 0,1*2

So replacing the second equation in the first one we have;

M + 0,1*2 = 2

M = 2-0,1*2 = 1,8 hours

We can convert hours into minutes multiplying by 60

1,8h*60min/h = 108min

If M ABD = 65 and DBC=60 then m ABC=

Answers

Answer:

∠ ABC = 125°

Step-by-step explanation:

∠ ABC = ∠ ABD + ∠DBC that is

∠ ABC = 65° + 60° = 125°

6/6/ Is a proper fraction or improper fraction

Answers

Answer:

proper fraction

Step-by-step explanation:

a proper fraction has smaller numerator than its denominatot.

Answer: Proper Fraction

Step-by-step explanation:

The denominator is equal or bigger than the numerator.

Must click thanks and mark brainliest

Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.

please answer quick i need to go to my friends to get my joy con fixed

Answers

The area is just the base times the height. In this case, the base is (x+4) and the height is (x+6), and then you just distribute to get x^2 +4x+6x+24 which is x^2+10x+24.

Figure A AA is a scale image of Figure B BB. 12 12 6 6 x x 9 9 Figure B Figure B Figure A Figure A What is the value of x xx?

Answers

1m

2m

3m

4m

5m

hgfdvwsdfweffffffffffffffffffffff

,

Farmer Dave harvested his corn. He stored 5/9 of his corn in one large silo and ¾ of the remaining corn in a small silo. The rest was taken to market to be sold.
a. What fraction of the corn was stored in the small silo?
b. If he harvested 18 tons of corn, how many tons did he take to market?

Answers

After storing 5/9 in the large silo there was 4/9 left ( 1-5/9 = 4/9)

A. Multiply 4/9 by 3/4:

4/9 x 3/4 = 12/36 = 1/3

1/3 of the corn was in the small silo.

B. 1-5/9 -1/3 = 4/9-1/3 = 4/9-3/9 = 1/9

1/9 of the corn went to market:

18 x 1/9 = 18/9 = 2

2 ton went to market.

The area of a circle is 144cm².Find the radius​

Answers

Answer:

It's a decimal, so it's around 6.771cm

Step-by-step explanation:

First, divide 144cm² by pi, or 3.14. Then find the square root of the answer, giving you the radius. The formula for the area of a circle is pi x radius squared, so to find out the radius you just use this formula in reverse.

If I messed up or didn't make my explanation clear, please comment.

Answer:

radius is [tex]\frac{12}{\sqrt{\pi } }[/tex] = 6.77 cm

Step-by-step explanation:

we know,

[tex]\pi[/tex] × r² = Area

⇒ [tex]\pi[/tex] × r² = 144

⇒ r² =[tex]\frac{144}{\pi}[/tex]

⇒ r= [tex]\frac{12}{\sqrt{\pi } }[/tex]

∴ r= [tex]\frac{12}{\sqrt{\pi } }[/tex]

pls mark this as the braniliest

Find the missing side of the triangle

Answers

Answer:

x = 4[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Pytago:

x[tex]x^{2} +7^{2} = 9^{2} \\\\x = \sqrt{9^{2} - 7^{2} } x = 4\sqrt{2}[/tex]

Answer:

Step-by-step explanation:

a^2 + b^2 = c^2

7^2 + b^2 = 9^2

49 + b^2 = 81

b^2 = 81 - 49

b^2 = 32

b^2 = 5.65 or sqrt rt of 32

For f(x)=1/x^2-3, substitute h for x in the function to solve for f(h).

Answers

The required function of h i.e f(h) is expressed as

[tex]f(h) = \dfrac{1}{h^2-3}[/tex]

Substitution of a function means replacing a variable with another variable without changing the structure of such function. According to the function given, we can see that we are simply meant to replace x with h as shown below:

Given the expression

[tex]f(x) = \frac{1}{x^2-3}[/tex]

To get f(h), we will substitute f in place of x that is x -> h as shown

[tex]f(h) = \frac{1}{h^2-3}[/tex]

Hence the required function of h i.e f(h) is expressed as

[tex]f(h) = \dfrac{1}{h^2-3}[/tex]

Learn more: https://brainly.com/question/4357143

The graph shows the distribution of the number of text messages young adults send per day. The distribution is approximately Normal, with a mean of 128 messages and a standard deviation of 30 messages.

What percentage of young adults send more than 158 text messages per day?


16%

34%

68%

84%

Answers

Answer:

You'd think its 34% but apparently it's 16%.

I hope this is right. If its not then it must be 34%.

(A) -- or maybe (B). 80% confident it is A.

ED2021

What’s the distance between (4,-9) and (5,3)

Answers

Answer: Distance = √145

Concept:

Here, we need to know the concept of the distance formula.    

The distance formula is the formula, which is used to find the distance between any two points.

If you are still confused, please refer to the attachment below for a clear version of the formula.

Solve:

Given information

(x₁, y₁) = (4, -9)

(x₂, y₂) = (5, 3)

Given formula

[tex]Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Substitute values into the formula

[tex]Distance = \sqrt{(5-4)^2+(3+9)^2}[/tex]

Simplify values in the parentheses

[tex]Distance = \sqrt{(1)^2+(12)^2}[/tex]

Simplify exponents

[tex]Distance = \sqrt{1+144}[/tex]

Simplify by addition

[tex]Distance = \sqrt{145}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

[tex]\boxed {\boxed {\sf \sqrt {145} \ or \ 12.04}}[/tex]

Step-by-step explanation:

The distance between 2 points is calculated using the following formula.

[tex]d= \sqrt {(x_2-x_1)^2+(y_2-y_1)^2)[/tex]

In this formula, (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

We know the two points are (4, -9) and (5,3). If we match the values of the points and the coordinating variable, we see that:

x₁ = 4y₁= -9 x₂ = 5 y₂ = 3

Substitute the values into the formula.

[tex]d= \sqrt { ( 5 -4)^2 + ( 3 --9)^2[/tex]

Solve inside the parentheses.

(5-4)= 1 (3 --9) = (3+9) = 12

[tex]d= \sqrt {(1)^2 + (12)^2}[/tex]

Solve the exponents.

(1)² = 1 *1 = 1 (12)² = 12 * 12 = 144

[tex]d= \sqrt{ 1+144}[/tex]

Add.

[tex]d= \sqrt{145[/tex]

Take the square root.

[tex]d=12.04159458[/tex]

Let's round to the nearest hundredth. The 1 in the thousandth place tells us to leave the 4 in the hundredth place.

[tex]d \approx 12.04[/tex]

The distance between the 2 points is √145 or approximately 12.04.

Consider the line L(t)=⟨5+t,1+5t⟩. Then:
Choose perpendicular, parallel or neither. (PS. Answers below may not be true.)

Answers

If L(t) = ⟨5 + t, 1 + 5t⟩, then the tangent vector to L(t) is

dL/dt = ⟨1, 5⟩

Any line parallel to L(t) will have the same tangent vector, up to some scalar factor (that is, if the tangent vector is a multiple of ⟨1, 5⟩).

Any line r(t) with tangent vector T(t) = dr/dt that is perpendicular to L(t) will satisfy

T(t) • ⟨1, 5⟩ = 0

• r(t) = ⟨-5, -2t, 1 - 10t⟩ is parallel to L(t) because its tangent vector is

T(t) = ⟨-2, -10⟩ = -2 ⟨1, 5⟩

• r(t) = ⟨1 + 1.5t, 3 + 7.5t⟩ is parallel to L(t) because

T(t) = ⟨1.5, 7.5⟩ = 1.5 ⟨1, 5⟩

• r(t) = ⟨-2 - t, 2 - 2t⟩ is neither parallel nor perpendicular to L(t) because

T(t) = ⟨-1, -2⟩ ≠ k ⟨1, 5⟩

for any real k (in other words, there is no k such that -1 = k and -2 = 5k), and

⟨-1, -2⟩ • ⟨1, 5⟩ = -1 - 10 = -11 ≠ 0

• r(t) = ⟨3 + 15t, -3t⟩ is perpendicular to L(t) because

T(t) = ⟨15, -3⟩

and

⟨15, -3⟩ • ⟨1, 5⟩ = 15 - 15 = 0

Determine what type of model best fits the given situation: A 4% raise in salary each year.

Answers

the models aren't given..

Answer: no models given

Step-by-step explanation:

Select the expression that represents the following statement: 3 times one fourth the difference of 26 and 10.

one fourth x (26 + 10) x 3
one fourth x (26 − 10) x 3
3 x one fourth x 26 − 10
3 x one fourth x 26 x 10
PLEASEE HEPPP

Answers

Answer:

the second option #2

one fourth x (26-10) x 3

Step-by-step explanation:

Two of the options (#1 and #4) can be ruled out immediately since they don't involve the difference of 26 and 10.

#3 can be ruled out because the difference needs to be multiplied by one fourth, but this option gives the wrong answer since the multiplication is done before subtraction (BODMAS)

Answer:

c

Step-by-step explanation:

I got it correct on a quiz

Please solve the equation 4X-25=71

Answers

x=24
im not sure if thats what you’re looking for but this is what i got :)
4x-25=71
4x=71+25
4x=96
x=96/4
x=24

Hope it is useful ;)
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