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Alla [95]
4 years ago
12

What is the common difference between successive terms in the sequence?

Mathematics
1 answer:
Zarrin [17]4 years ago
5 0
Depending on the way you look at the numbers, they are increasing/decreasing by 0.1.

0.36- 0.1 =0.26
0.26-0.1=0.16
0.16-0.1=0.06
0.06-0.1=-0.04
-0.04-0.1=-0.14
(Or vice versa by adding 0.1 starting with -0.14)

Make sense?
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Dmitry_Shevchenko [17]
You can write an equation in 2 variables to slove a problem by Solving <span> for y  using </span><span> The Method of Elimination: The process of substitution involves several steps: In a </span>two-variable<span> problem rewrite the </span>equations <span>so that when the </span>equations<span> are added, one of the </span>variables<span> is eliminated, and then </span>solve<span> for the remaining </span>variable<span>.</span>
7 0
4 years ago
How much money do you need to invest at 2.8% compounded daily in order to have $25,500 at the end of 8 years?​
Dmitry [639]

Answer:

$20,382.71

Step-by-step explanation:

We have the following equation for compounding interest

FV=PV(1+\frac{i}{n})^{(n*t)}\\\\25500=x(1+\frac{.028}{365})^{365*8}\\25500=1.251x\\20382.711

6 0
3 years ago
A package contains 12 resistors, 3 of which are defective. If 4 are selected, find the probability of getting
s344n2d4d5 [400]

Answer:

Incomplete question, but I gave a primer on the hypergeometric distribution, which is used to solve this question, so just the formula has to be applied to find the desired probabilities.

Step-by-step explanation:

The resistors are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

12 resistors, which means that N = 12

3 defective, which means that k = 3

4 are selected, which means that n = 4

To find an specific probability, that is, of x defectives:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = x) = h(x,12,4,3) = \frac{C_{3,x}*C_{9,4-x}}{C_{12,4}}

7 0
3 years ago
A rubber ball is bounced from a height of 9 meters and bounces continuously .Each successive bounce reaches a height that is a t
Rudiy27

Answer:

1/81 meters

Step-by-step explanation:

Since it reaches a height of 1/3 the previous height after each bounce, we can set up an equation for "y", the balls height, after x bounces:

y=9*(\frac{1}{3})^x

Therefore, to find the ball's height after 6 bounces we just plug-in 6 for x in the equation above to get 1/81.

Hope this helps :)

8 0
3 years ago
Read 2 more answers
£2300 is invested for 4 years at 5% per year simple interest what is the total interest?
Mrac [35]

Answer: interest = £460

Step-by-step explanation:

SI = prt / 100

SI = 2300 x .05 x 4

SI = 460

5 0
3 years ago
Read 2 more answers
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