-1/4 x [ x 12 -32 ] = [ 5 -3 y ]

Answer:

RR = 0.4

RB = 0.3

BB = 0.22

BR = 0.30

Step-by-step explanation:

P( Urn 1 ) = 2/6 = 1/3

P( Urn 2 ) = 1 - 1/3 = 2/3

Urn 1 contains : 3 blue and 2 red

P( blue | urn 1 ) = 3/5 ( with replacement ) , P( blue | urn 1 ) = 3/4 ( without replacement )

P( red | urn 1 ) = 2 / 5 ( with replacement ) , P(red | urn 1 ) = 1/2 ( without replacement )

Urn 2 contains : 2 blue and 4 red

P ( blue | urn 2 ) = 1/3 ( with replacement ) , P( blue | urn 2 ) = 2/5 ( without replacement )

P ( red | urn 2 ) = 2/3 ( with replacement) , P( red | urn 2 ) = 4/5 ( without replacement )

Determine

i) Possible outcomes when two tokens are drawn from either Urn without replacement

RR = [[ ( 2/5 * 1/3 ) + ( 2/3 * 2/3 ) ] * [( 1/2 * 1/3 ) + ( 4/5 * 2/3 ) ]] = 0.4

RB = [[ (2/5 * 1/3 ) + ( 2/3 * 2/3 ) ] * [ ( 3/4 *1/3 ) + ( 2/5 * 2/3 ) ]] ≈ 0.3

BB = [[ ( 3/5 * 1/3 ) + ( 1/3 * 2/3 ) ] * [ ( 3/4 *1/3 ) + ( 2/5 * 2/3 ) ]] ≈ 0.22

BR = [[ ( 3/5 * 1/3 ) + ( 1/3 * 2/3 ) ] * [ ( 1/2 * 1/3 ) + ( 4/5 * 2/3 ) ]] ≈ 0.30

Answer:

The 90% confidence interval for the average net change in a student's score after completing the course is (13.42, 21.92).

Step-by-step explanation:

Average change in the sample:

[tex]M_{s} = \frac{15+20+18}{3} = 17.67[/tex]

Standard deviation of the sample:

[tex]s = \sqrt{\frac{(15-17.67)^2+(20-17.67)^2+(18-17.67)^2}{2}} = 2.52[/tex]

We have the standard deviation for the sample, so the t distribution is used.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 3 - 1 = 2

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 2 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 2.92

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.92\frac{2.52}{\sqrt{3}} = 4.25[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 17.67 - 4.25 = 13.42

The upper end of the interval is the sample mean added to M. So it is 17.67 + 4.25 = 21.92

The 90% confidence interval for the average net change in a student's score after completing the course is (13.42, 21.92).

Answer:

No idea

Step-by-step explanation:

9514 1404 393

Explanation:

The figure will be a rectangle only if the angles between adjacent congruent sides are 90°.

__

Attached is an example of a quadrilateral with 3 congruent sides. It is not a rectangle, but could be an isosceles trapezoid if the top and bottom sides were parallel. It would be a parallelogram (rhombus) if opposite congruent sides were parallel.

Answer:

13.8

Step-by-step explanation:

https://www.calculator.net/triangle-calculator.html

It gives you everything you need to know about the triangle

Answer:

Imagery

Imagery includes language that appeals to all of the human senses, including sight, hearing, taste, touch, and smell.

I think its imagery because the narrator describes that the character stood firmly, was held, rootless in mid air, etc..

Step-by-step explanation:

:))

Answer:

Options A, B and C are correct.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

From the Central Limit Theorem, we have that:

The larger the sample size, the closer to the normal distribution the distribution of sample means is.

No matter the sample size, the mean is the same.

The larger the sample size, the smaller the standard deviation.

The smaller the sample size, the larger the standard deviation.

So the correct options are:

A, B, C

Answer:

(3,1)

Step-by-step explanation:

Y=2x-5

x+y=4

substitute the answer for y in the first equation (2x-5) with the y in the second equation

x+(2x-5)=4

x+2x-5=4

3x-5=4

add 5 to both sides to isolate 3x

3x=9

x=3

To find y, replace x in either of the original equations and solve for y.

x+y=4

3+y=4

y=1

so, x=3, y=1

chech answer by subbing x and y values into either original equation.

y=2x-5

1=2(3)-5

1=6-5

1=1

or

x+y =4

3+1=4

4=4

Answer:

it would be 17 m second one is 20inch third one is 6 meters

Step-by-step explanation:

np give it a heart

Answer:

1st) area = 12 x 3.7 = 44.4 m²

2nd) area = 24 x 18 = 432 in²

3rd) area = 7.3 x 5 =36.5 m²

Step-by-step explanation:

Answer:

I would go with yes, since we know BC=UV

Step-by-step explanation:

Answer:

(0,12)

Step-by-step explanation:

Let x = 0, solve the equation.

Answer:

3/8

Step-by-step explanation:

vecause there are 8 in total and 3 of them are blue.

hope this helps

Answer:

2

Step-by-step explanation:

1/2 x 2 = 1

Answer:

2

Step-by-step explanation:

beacuse 2/1 is actually 2

Answer:

85%*x =51

Step-by-step explanation:

of means multiply

Hence,

     85% times x =51

Answer: thumbs up

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

I used a calculator and the answer is 6

Answer:

Step-by-step explanation:

A nonagon has nine sides.

The sum of exterior angles = 360°, so each exterior angle is 360°/9 = 40°.

Each interior angle = 180°-exterior angle = 140°.

13x + 10° = 140°

x = 10°

Answer:

B

Step-by-step explanation:

perimeter is the sum of all sides. it's the distance around the figure.

Answer:

a) CI = ( 5,1 ; 5,7 )

b) SE =  0,1  

Step-by-step explanation:

a) Sample random     n  = 100

Mean  =  μ = 5,4

Standard deviation   s = 1,3

CI = 99 %    α = 1 %   α = 0,01     α/2 =  0,005

z(c) for  0,005 is from z-table    z(c)  = 2,575

z(c)  =  ( X - μ ) /s/√n          CI  =  μ ± z(c) * s/√n

CI =  5,4 ± 2,575* 1,3/10

CI = 5,4 ± 0,334

CI = ( 5,1 ; 5,7 )

b) SE = Standard deviation / √n

SE = 1,3 /10       SE =  0,1  

We can support that with 99 % of probability our random variable will be in the CI.

Answer:

C

Step-by-step explanation:

We can immediatly rule out A and B because the Quotient is bigger than the Divisor.

We can then rule out D because 2,016 does not round to 2,200.

The answer is C. 2,184 can round to 2200 and the Divisor is bigger than the quotient.

Answer:

C

Step-by-step explanation:

This is quite simple as we can find the answer out on the first hint itself. The first hint says the divisor, 2 number in the equation or number you are dividing by, can be rounded to 50, which means it is in the range of 45-54. We can see the only divisor in that range is C. To go with the other hints, though, the dividend, first number, can be rounded to 2,200 which means it is in the range of 2,151-2,250. All of them pass that, so on to the next hint. It says the quotient, number you get as answer, is smaller than the divisor, which we found is in the range of 45-54. Answer choices A and B do not follow this as the divisors of their equation are obviously smaller than the quotient, so we can conclude C to be our answer

Answer:

H

Step-by-step explanation:

Answer:

the first one

8x+5

Step-by-step explanation:

10x-2-2x+7= 8x+5

Answer:

Step-by-step explanation:

[tex] \frac{3}{4} x - 7 = 3( \frac{1}{6} x + 1)[/tex]

[tex] = > \frac{3}{4} x - 7 = \frac{1}{2} x + 3[/tex]

[tex] = > \frac{3}{4} x - \frac{1}{2} x = 3 + 7[/tex]

[tex] = > \frac{3 - 2}{4} x = 10[/tex]

[tex] = > \frac{1}{4} x = 10[/tex]

=> x = 10 × 4

=> x = 40

Here,

The variable x whose only one value 40 will solve the equation.

Hence,

It has only one solution. (Ans)

Answer:

Its C. If you look at the graph and match it with the years it increases by 50

Step-by-step explanation:

Answer:

8,000,000

Step-by-step explanation:

This is because 256 divided by 64 is 4, meaning 64 goes into 256 4 times. If 500,000 is being doubled every 64, it means that in 256 years, the population will have been doubled 4 times.

Meaning? Well...

500,000 x 2 = 1,000,000 = 64yrs

1,000,000 x 2 = 2,000,000 = 128yrs

2,000,000 x 2 = 4,000,000 = 192yrs

4,000,000 x 2 = 8,000,000 = 256yrs

This is 4 times.

so every time it's doubled, it means the sum of that number times 2.