A sequence of numbers is given by the formula an= 2(-1.2)^n, where n is a positive integer. What is the probability that a randomly chosen term from the first 3 terms will be negative?

A. 1/3

b. 1/2 C. 2/3 D. 0

Answers

Answer 1

Answer:

2 / 3

Step-by-step explanation:

Given the formula :

an= 2(-1.2)^n

At n = 1

a(1) = 2(-1.2)^1 = 2(-1.2) = - 2.4

At n = 2

a(2) = 2(-1.2)^2 = 2(-1.2)^2 ; 2 * 1.44 = 2.88

At n = 3

a(3) = 2(-1.2)^3 = 2(−1.728) ; 2 * - 1.728 = - 3.456

Number of negative numbers from first three term = 2

P(choosing a negative term) =

Number of negative numbers from first three term / total number of terms

= 2/3


Related Questions

A variable y varies directly with x and the constant of variation is 3. What is the value of y when x = 2?

Answers

Answer:

y = 6

Step-by-step explanation:

y varies directly with x

y = k*x

Where,

k = constant of variation

Find y when x = 2 and constant of variation,k =3

y = k*x

y = 3 * 2

y = 6

Check:

if y = 6 and x = 2, find k

y = k*x

6 = k*2

6 = 2k

k = 6/2

k = 3

show work please find the volume of the following irregular space figure to the nearest whole number

Answers

Answer:

144cm^3

Step-by-step explanation:

1) split the figure so you can find the volume of two rectangular prisms.

2) Find the volume of the first rectangular prism with the measurements of 2,       5, and 8. So the volume is 80

3) Find the volume of the second rectangular prism with the measurements of 4, 2, and 8. So you have 64

4) Add the two values 80+64.

5) Then that's your answer; 144

Hope this helps! :D

Please hurry I’m not looking forward to failing

Answers

Answer:
110

Explanation:
C shaped angle thing
180 - 70 = 110

given the graph of g (x) below determine g (1)

Answers

Answer:

-2

Step-by-step explanation:

36 + (12 - 8) + 2 × 5​

Answers

Answer:

50

Step-by-step explanation:

To answer this we need to use the PEMDAS strategy, first solve any questions in parentheses, next solve all multiplication and division problems from left to right. Next, solve all addition and subtraction problems from left to right.

36 + (12 - 8) + 2 × 5​

36 + 4 + 2 x 5

36 + 4 + 10

40 + 10

50

Answer:

[tex]50[/tex]

Step-by-step explanation:

Follow the PEMDAS order of operations:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction.

Calculate the Parentheses- (12-8)

This will equal 4.

[tex]36+4+2x5[/tex]

(x= times)

Multiply and divide, left to right.

[tex]2x5=10[/tex]

[tex]36+4+10=50[/tex]

What's the ratio? please help! Urgent!

Answers

Answer:

13:5

Step-by-step explanation:

Messy played 65 minutes while the substitute played 25 minutes. This ratio is 65:25 and can be simplified to 13:5.

Please help !!!!!!!!!!!!!!

Answers

C is the correct answer :)

3. What is Total Surface Area?
4 in
3 in
10 in
O 82
O 140
O 164
O 120

Answers

Answer:

120in. ezy

Step-by-step explanation:

Please help! Simplify the following problem.

Answers

Answer:

B. -4y^17

Step-by-step explanation:

What is the answer for C = π/2

Answers

Answer:

C=5π/2

Step-by-step explanation:

Given the function h(x) = -x2 -X2 – 5x + 8, determine the average rate of change of the function over the interval -4 < x < -2​

Answers

Hi there!

[tex]\large\boxed{\text{Average rate = 1}}[/tex]

We can calculate the average rate of change using the following:

[tex]ARC = \frac{f(b)-f(a)}{b-a}[/tex]

Thus, we can plug in the endpoints of -4 and -2. Find the corresponding y-values for these x-values:

f(-2) = -(-2)² - 5(-2) + 8  = -4 + 10 + 8 = 14

f(-4) = -(-4)² - 5(-4) + 8 = -16 + 20 + 8 = 12

Plug in the solved for values into the ARC equation:

[tex]ARC(slope) = \frac{14-12}{-2(-4)} = \frac{2}{2} = 1[/tex]

Solve for x and solve for FGI

Answers

Answer:

X equals -0.5 in decimal and in fraction it would be negative one half. Im not 100% sure of the answer also I dont know what angle that is...

Which step comes last when using the divide-center method to find the trend line on a scatterplot? Approximate the center of the cluster located on the left side of the line, and repeat for the right side of the line. Connect the two centers to produce the trend line. Disregard all outliers.Draw a vertical line so that each side has the same number of data points.​

Answers

Answer:

Is there a picture?

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Does anyone know how to solve this problem

Answers

9514 1404 393

Answer:

  ∠CBE = 59°

Step-by-step explanation:

Adjacent angles of a parallelogram are supplementary.

  ∠BCD +∠CDE = 180°

  ∠BCD +∠CDB +∠BDE = 180°

  (21x -5) +34 +(4x+1) = 180

  25x +30 = 180

  25x = 150

  x = 6

∠CBE = ∠CDE = 34 +(4x +1) = 4x +35 = 4(6) +35

∠CBE = 59°

Please help me with this !!

Answers

Answer:

Step-by-step explanation:

a = 1

b = 6

c = 6

axis of symmetry =  -(6) / 2*1

= -6 /2

= -3

vertex = ( -3,  -3 )   :)

Answer:

Step-by-step explanation:

a = 1 because if is not written what x^2 multiply, it means that x^2 multiply 1

b = 6  b is the term that multiply x

c = 6  c is the therm without x

axis of symetry = -6/2 = -3

the x of vertex is same of the axis of the symmetry so it is -3

if we subistute x with this value we can find the y of vertex

(-3)^2 + 6(-3) + 6 = 9 -18 + 6 = -3

Vertex (-3, -3)



Look at the drawing of a triangle within a rectangle. The

triangle and the rectangle have the same base, b, and

height, h.

If the area of the triangle is 48 square units, what is the

total area of sections 1 and 2?

square units

) Intro

Answers

Answer:

48 square. Units

Step-by-step explanation:

Given that :

Triangle and rectangle have the same base, b and height, h

AREA of triangle = 0.5 * base * height

48 = 0.5 bh

bh = 0.5 * 48

bh = 96

Total area of section 1 & 2 :

bh = area of triangle + x

X = bh - area of triangle

X = 96 - 48

Area of se tion 1&2 = 48

4y(2 + y) - (3y +3)
HELPPP

Answers

Answer:

4y² + 5y - 3

roots are:  (-5 ± [tex]\sqrt{73}[/tex]) / 8

Step-by-step explanation:

8y + 4y² - 3y - 3

4y² + 5y - 3

roots are:  (-5 ± [tex]\sqrt{73}[/tex]) / 8

Answer:

4^2 + 5 − 3

Step-by-step explanation:

you multiply those numbers, add these and those, combine these and that. and BOOM. you have your answer UwU

NO LINKS ACCEPTED -The robot factory is a learning center where children can build robots. The project fee per visit is $15 and each hour of time (x) at the factory costs $4. Jesse goes to the robot factory one afternoon and was charged $40 for the visit. Write an equation that models this situation where X is the number of hours Jesse stands at the robot factory

Answers

Answer:

15 + 4x = 40

Step-by-step explanation:

To construct this equation, we'll list all the values we will include first.

The total fee equals $40, so we'll put 40 on one side of the equation.

On the other side, we have to put the values that make up the total. The fee is made with the project cost plus the hourly rate. The first part of this is the beginning cost, $15. Added to this is the hourly cost, $4, times the number of hours spent. So, the other side of the equation is 15 (the starting cost) plus 4 (the rate) times x (the unknown number of hours).

So, our equation is 15 + 4x = 40.

Good luck ^^

HELP PLEASE DUE SOON (i got the question wrong 2 tries)

Answers

Step-by-step explanation:

Mean number of tickets sold by boys =

Total Number of tickets sold / Number of boys

=

[tex] \frac{(1 \times 4) + (2 \times 3) + (4 \times 1) + (12 \times 1) + (13 \times 1) + (15 \times 3) + (14 \times 2}{4 + 3 + 1 + 1 + 1 + 3 + 2} \\ = \frac{4 + 6 + 4 + 12 + 13 + 45 + 32}{15} \\ = \frac{116}{15} \\ = 7.73(nearest \: hundredth)[/tex]

Please help! Solve the following:

Answers

Answer:

n=10.

Step-by-step explanation:

[tex]\frac{45}{n^{2}-3n-4 }[/tex] - [tex]\frac{3}{n-4}[/tex] = [tex]\frac{2}{n+1 }[/tex]

[tex]\frac{45}{n^{2}-3n-4 }[/tex] -  [tex]\frac{3(n+1)}{(n+1)(n-4)}[/tex] = [tex]\frac{2(n-4)}{(n+1)(n-4) }[/tex]

[tex]\frac{45}{n^{2}-3n-4 }[/tex] -  [tex]\frac{3n+3}{n^{2} -3x-4}[/tex] = [tex]\frac{2n-8}{n^{2} -3x-4 }[/tex]

45-3n-3=2n-8

45-3+8=5n

n=50/5=10

C.Given the figure on the right. Answer the following.

Another Plzz​

Answers

Answer:

10

Step-by-step explanation:

Remark

Technically, we can't. We have no way of knowing what kind of figure we are working with. We can say to you that if this is not at least a parallelogram then no answer is possible.

Opposite sides of a parallelogram are equal.

Equation

2x = x + 5                  

Solution

Subtract x from each side

2x - x = 5

x = 5

HE = 2x

HE = 2*5

HE = 10

What is the volume, in cubic feet, of the right rectangular
prism shown by the net? Show your work.

i think it’s upside down turn your phone or something pls

Answers

This is my work. I got 1 2/9. Hope this helps and sorry if it wrong

can u help please :)

Answers

Answer:

z = 8

Step-by-step explanation:

All angles inside a triangle add up to 180 so:

90 + 40 + 5z + 10 = 180

5z + 140 = 180

5z = 40

z = 8

Heather has a bag of 15 red, 11 orange, 9 yellow, 12 green, 6 blue and 11 purple markers. how many times would you expect heather to pick a red marker if she picked a marker 90 times?
A.about 11 times
B.about 15 times
C.about 21 times
D.about 64 times

Answers

Answer:

B should be the correct answer.

Step-by-step explanation:

15 + 11 + 9 + 12 + 6 + 11 = 64

64<90

Answer:

15 red out of 64 total markers

15 / 64 = .234375

90 x .234375 = 21.09375

so she will pick a red marker about 21 times

Step-by-step explanation:

If the shorter rectangle is 1 unit long, how many units long is the longer rectangle?

Answers

Answer: 2 units long

Whatever greater than 1 unit

Lily walks 2 kilometers during each trip to school. Write an equation that shows the
relationship between the number of trips x and the total distance walked y.

Answers

Answer:

y = 2x

Step-by-step explanation:

Total distance walked = y

Number of trips = x

Lily walks 2 kilometers during each trip to school

Equation that shows the

relationship between the number of trips x and the total distance walked y:

y = 2x

For example, if the number of trips (x) is 3

Total distance walked,y = 2(3)

y = 6 kilometers

Please help I am begging you extra points and BRAINLIEST!!!!!!!

You don’t have to show the work just answers! If you do this it will make my whole life please help!!!!!!!

Answers

1) x= 14

2) x=110

3) x=5

4) x=110

extra

1) x=4

2) x=6

3) x=10

HELP ME PLEASEE Select all of the following that could be classified as a Perfect Square Trinomial.

Answers

Son el B el C y el E

Kyle is a satellite radio sales representative. He receives 7% commission on all sales. If
the total sales for the year were $345,000, what would his commission be?

Answers

Answer:

24,150

Step-by-step explanation:

7% of 345,000 = 24,150

pls help on these and thku

Answers

The answer is (x-3)(x-5)

Answer:

the second one

Step-by-step explanation:

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