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

Tom swam at one pool each of 5 days during one week. The number of people at the pool when he arrived on each of the days were: 12, 19, 17, 26, 26. What is the mean number of people who were at the pool?

Answers

Answer:

The mean is 19.33

Step-by-step explanation:

How to Find the Mean. The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

find the measure of each interior angle in a regular 18-gon

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Answer:

A polygon with 18 sides has 18 interior angles. Therefore, to find the measure of one of these angles, divide the sum by 18. Answer: Each angle is 160 degrees.

Step-by-step explanation:

That’s my question I need help with

Answers

Answer:

D. 120 × ⅕

Step-by-step explanation:

120 computers ÷ 5 classrooms

120 ÷ 5 = 120 × ⅕

The x - coordinate of A' is _____
. The y - coordinate of A' is _____

Answers

Answer:

(-3, 2)

Step-by-step explanation:

Since you are reflecting over the y-axis (the vertical axis), you are flipping the figure over to the left. As a result, you are going over to -3 and up to 2

Answer:

A' is at (-3, 2)

Step-by-step explanation:

point stays 3 units away from the x-axis and 2 units above the y-axis

What transformation is shown below?



reflection
can't be determined
rotation
translation

Answers

Answer:

it's a translation

Step-by-step explanation:

it just moved (3,0). If it were a rotation the y-axis wouldn't be the same. If it were a reflection you would be able to flip the blue triangle onto the red triangle.

HELP please will give brainiest!! No robots please,
Find the slope and the y-intercept of the graph of the linear equation.

Answers

Answer:

Slope is -4/5

Y-intercept is -2

Step-by-step explanation:

use equation y=mx+b

0, 4, -2, 2/3, -1.8, 16, 3.2, -5/4 Which numbers are rational numbers that are not integers?


Answers

Answer:

rational but not integers:  2/3, -1.8, 3.2, -5/4

Step-by-step explanation:

Name this figure

A. Rhombus
B. Rectangle
C. Square
D. Parallelogram


HELP ME PLEASE NOW !!

Answers

Answer: D.  Parallelogram

Step-by-step explanation:

This would be a parallelogram.

Please help me no one is helping me and I need help :(

Answers

Answer:

JK is longer

Step-by-step explanation:

You can kinda tell just by looking at it. Chord JK is closer to the center of the circle so it's longer.

convert 17584000cm3 to kl​

Answers

Answer:

17.58 KL

Step-by-step explanation:

.

Answer:

17.584 kl.

Step-by-step explanation:

1 kl = 1,000,000 cm^3.

So the answer is  17.584 kl.

Please please help help this is for the brainies please ASAP please ASAP thank you
No links or files

Answers

Answer:

(-5,2)

Step-by-step explanation:

:)

what is the GCF of 16 and 24​

Answers

Answer:

Method 2: GCF of 16 and 24 by Listing the Common Factors

Common Factors of 24 and 16 : 1, 2, 8 and the greatest among them is 8.

Which are equivalent expressions?
Check all that are true.

2a · 2b = 2ab

6a = 6 · a

5a = 5 + a

3ab = 3c

2a · b = 2ab

Answers

Answer:

6a=6.a I think is true cause it's like the same thing

HALP ME PLZZ ASAP NO LINKS

Answers

Answer:

Step-by-step explanation:

A line passes through the points (6, 2) and (5, 0). What is its equation in slope-intercept form?

Answers

Answer:

y = 2x - 10

Step-by-step explanation:

y2 - y1/ x2 - x1

0 - 2 / 5 - 6

= 2

y = 2x + b

2 = 2(6) +b

2 = 12 + b

-10 = b

The equation is y = 2x - 10

Neeed help please???????!!!!!!

Answers

Arc HKJ for one but I do known abt 2

Which angles are adjacent? Select all that apply.
∠AFB and ∠BFC
∠AFB and ∠CFD
∠BFC and ∠CFD
∠BFC and ∠DFE
∠CFD and ∠DFE



Plz Do not look at my name and hack me

Answers

Answer:

1

3

Step-by-step explanation:

Answer:

A,C,E or 1,3,5

Step-by-step explanation:

What would x equal for this triangle side

Answers

Answer:

x=44

Step-by-step explanation:

180-89=91

180-91-45=44

x = 44 i believe.

explanation: 89 - 45 = 44

What is the value of x?

Answers

Answer:

Step-by-step explanation:

Calculate the width of it,then add all the sides together.

The perimeter of a rectangle is the same as the
perimeter of a square. If the area of this rectangle
is x^2 + 4x – 21 and the side lengths are integers,
find:
a. the perimeter of the rectangle
b. the area of the square

Answers

Answer:

a. 20

b. 25

Step-by-step explanation:

Let find the side lengths of the rectangle,

We can complete the square.

[tex] {x}^{2} + 4x - 21[/tex]

[tex] {x}^{2} + 4x = 21[/tex]

[tex] {x}^{2} + 4x + 4 = 25[/tex]

[tex](x + 2) {}^{2} = 25[/tex]

[tex](x + 2) = 5[/tex]

[tex]x = - 7[/tex]

or

[tex](x + 7)[/tex]

[tex]x = 3[/tex]

or

[tex](x - 3)[/tex]

This means the perimeter of is

2 times -7 equal 14

2 times 3 equal 6

14+6=20.

The side lengths of the square is equal so each side length will measure 5.

[tex] {5}^{2} = 25[/tex]

Find the Area of a Trapezoid.
Base 1 :2
Base 2 : 3
Height :2

Answers

Answer:

The area would be 5

The tree was 8.5 inches when it was planted. The tree grew 1.5 inches each year.

Can anyone do it pleaseeeee

Answers

Answer:

hi

Step-by-step explanation:

probably it must be like this,

8.5+1.5=10 in

hope it helps

have a nice day

Any helpers ? Pls it would be nice

Answers

Answer:

x = -(-20)² ± √(-20)² - 4(16)(-6) / 2(16)

Step-by-step explanation:

Given quadratic equation:

16x² - 20x - 6 = 0

Quadratic formula is given by:

x = -b² ± √b² - 4(a)(c) / 2a

16x² - 20x - 6 = 0

From the equation,

a = 16

b = -20

c = -6

x = -b² ± √b² - 4(a)(c) / 2a

x = -(-20)² ± √(-20)² - 4(16)(-6) / 2(16)

x = -(400) ± √(400) - (-384) / 32

x = -400 ± √400 + 384 / 32

x = -400 ± √784 / 32

x = -400 ± 28 / 32

x = (-400 + 28) / 32 or x = (-400 - 28) / 32

how much does an x box emulator cost and what does it do??? Will give brainliest to first right answer!!!

Answers

Answer:

113.44

Step-by-step explanation:

It can emulate the BIOS and many games at very slow speeds but is sometimes faster than Cxbx with acceptable graphics

Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 19)(0,19) and (3, 9728)(3,9728).

Answers

Answer:

y = 19*(8)^x

Step-by-step explanation:

We want to write an equation like:

y = a*b^x

That goes through the points (0, 19) and (3, 9728)

Then, when x = 0, we must have y = 19

Replacing those values in the equation we get:

19 = a*b^0 = a*1 = a

19 = a

Then the equation is:

y = 19*b^x

We also know that when x = 3, y = 9728

If we replace these values in the equation, we get:

9728 = 19*(b)^3

Let's solve this for b.

9728/19 = b^3

512 = b^3

∛512 = b = 8

Then the equation is:

y = 19*(8)^x

Determine the common ratio and find the next three terms of the geometric sequence. 8, -20, 50, ... a. -2.5; -125, 312.5, -781.25 c. 2.5; -125, 312.5, -781.25 b. -2.5; -70, 240.6, -642.85 d. 2.5; -70, 240.6, -642.85

Answers

Answer:

The common ratio is -2.5

The next three terms are;

-125, 312.5 and -781.25

Step-by-step explanation:

Here, firstly we want to determine the common ratio

To

do this, we have to divide the succeeding term by the preceding term

We have this as;

50/-20 = -20/8 = -2.5

Now, to get the next terms,

we multiply the given last term by the common ratio

That will be;

50 * -2.5 = -125

next is to multiply this by the common ratio

That will be;

-125 * -2.5 = 312.5

And lastly, we have

312.5 * -2.5 = -781.25

Answer:

The Answer Is A.

Step-by-step explanation:

45 POINTS!! PLEASE HELP

The scatter plot shows the relationship between the test scores of a group of students and the number of hours they study in a week.

Part A: What is the group of points labeled N called? What is the point labeled M called? Give a possible reason for the presence of point M.

Part B: Describe the association between students’ test scores and the number of hours they study.

Answers

Answer:

Step-by-step explanation:

m is called an outlier and it is a positive association

Answer:

Part A) Part N.) is called the cluster of the whole chart. Part M.) is called the outlier because it's not with the rest of the group, therefore, it's the outlier of the group.

Part B.)

The association between the students' test scores and the number of hours they've studied is a positive correlation. That means the longer the students spent time studying for their tests... the better grades they got because of it. It's a lot like a cause-and-effect kind of situation.

Step-by-step explanation:

I hope this helps you!!! Brianlyest please!!! And SO sorry this is so late!

help please. the one about the restaurant.

Answers

Don’t use that link it’s a hack

What is the measure of LXZW?
850
150°
Y
65°
95
Z
215°
W
30°

Answers

Answer:

so the answer is 95°

Step-by-step explanation:

The two angles on a line add up to 180° or are supplementary, so we can find the inside angle x by doing 180-150=30°. Now that we know inside x is 30, if we add 30+65, we get 95, and 180-95=85°. Then to find angle xzw, just do 180-85 to get 95°.

What is the average of 105 and 147

Answers

Answer:

126

Step-by-step explanation:

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