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Artyom0805 [142]
3 years ago
8

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 rando

mly chosen term from the first 3 terms will be negative?
A. 1/3

b. 1/2 C. 2/3 D. 0
Mathematics
1 answer:
vladimir2022 [97]3 years ago
5 0

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

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What is the lcm for 7,14,16
MAXImum [283]

Answer:

112

Step-by-step explanation:

To find the least common multiple, we break the numbers down into prime factors

7 = 7

14 = 7*2

16 = 2*8 = 2*4*2 = 2*2*2*2

Then we take the largest number of times it appears in all the numbers

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7 appears 1 so we take one 7


LCM = 2*2*2*2*7

LCM = 112

7 0
2 years ago
HELPP
Harrizon [31]

Answer:

Step-by-step explanation:

Alright, lets get started.

Lets find slope for both bikes one by one

For bike 1 :

There are two points on the graph of Bike 1, these two points are (2,3) and (4,6)

So the slope for bike 1 is : \frac{y_{2}-y_{1} }{x_{2}-x_{1} }

So the slope for bike 1 is : \frac{6-3}{4-2}

So the slope for bike 1 is : \frac{3}{2}

For bike 2 :

There are two points on the graph of Bike 2, these two points are (4,5) and (8,10)

So the slope for bike 2 is : \frac{y_{2}-y_{1} }{x_{2}-x_{1} }

So the slope for bike 2 is : \frac{10-5}{8-4}=\frac{5}{4}

Hence Bike 1 will win the race as slope of line bike1 is greater than slope of line bike 2.  So, answer is option D


3 0
3 years ago
Read 2 more answers
A triangular prism is shown. a cylinder is cut out of the center of the prism. the triangular base has side lengths of 14 and 10
Whitepunk [10]

The expression that represents the volume, in cubic units, of the shaded region of the composite figure is: A. One-half(14)(10)(8) – π(2.52)(8).

<h3>Expression</h3>

Given:

Base side length=14 and 10 units

Height=8 units

Diameter=5 units


Hence:

Expression= 1-( half 14)(10)(8) - π(2.52)(8)

Expression=1-(7) (10)(8) - π(2.52)(8)

Expression=1- (560)- 63.33

Expression=-559-63.33

Expression=-622.33

Therefore the expression that represents the volume, in cubic units, of the shaded region of the composite figure is: A. One-half(14)(10)(8) – π(2.52)(8).

Learn more about expression here:brainly.com/question/723406

#SPJ4

5 0
1 year ago
Read 2 more answers
If rain is falling at 0.5 inches per hour and 1.5 inches have already accumulated, how many hours must have passed if there are
zavuch27 [327]

Given :

Rain is falling at 0.5 inches per hour and 1.5 inches have already accumulated.

To Find :

How many hours must have passed if there are 5 inches of rain .

Solution :

Let , after x hours rain accumulated is 5 inches .

We know , general equation of line :

y = mx +c

Here , m = 0.5 and c = 1 .

So , equation of rain accumulated is :

y=0.5x+1

Now , putting value of x = 5 hours .

We get :

y=0.5\times 5+1\\\\y=2.5+1=3.5\ inches

Hence , this is the required solution .

7 0
3 years ago
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