In 2003, the price of a certain automobile was approximately $30,600 with a depreciation of $1,440 per year. After how many years will the car's value be $19,080?

a) Write an equation to model the problem. Let t represent the number of years after 2003. For example, the year 2005 would be represented by t = 2.
Answer:
b)Solve the equation to find the answer to the question above. (Note: Include the units, in this case years.)
Answer:

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:

3/8

Step-by-step explanation:

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

hope this helps

Answer:

85%*x =51

Step-by-step explanation:

of means multiply

Hence,

     85% times x =51

Answer:

Area of the figure = 39 square units

Step-by-step explanation:

Find the diagram attached

Area of the triangle = 1/2 * base * height

Base of triangle = 4

Height = 1 + 5  = 6

Area of the triangle = 1/2 *4 * 6

Area of the triangle = 12units²

Area of rectangle = Length * Width

Length = 4

Width = 5

Area of rectangle = 4 * 5

Area of rectangle = 20units²

Area of trapezoid = 1/2(a+b)*h

a and b are the parallel sides

h is the height

a = 2

b = 5

h = 6-4 = 2

Area of trapezoid = 1/2(2+5)*2

Area of trapezoid = 1/2*7*2

Area of trapezoid = 7units²

Area of the figure  = Area of the triangle +Area of the rectangle + Area of the trapezoid

Area of the figure = 12 + 20 + 7

Area of the figure = 39 square units

Answer: thumbs up

Step-by-step explanation:

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:

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:

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.

Answer:

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

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:

H

Step-by-step explanation:

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:

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:

16/24

Step-by-step explanation:

2 x 8 = 16

3 x 8 = 24

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:

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:

B

Step-by-step explanation:

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

Answer:

No idea

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

I used a calculator and the answer is 6

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:

(0,12)

Step-by-step explanation:

Let x = 0, solve the equation.

Answer:

2

Step-by-step explanation:

1/2 x 2 = 1

Answer:

2

Step-by-step explanation:

beacuse 2/1 is actually 2

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:

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:

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

Step-by-step explanation: