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Diano4ka-milaya [45]
3 years ago
7

HELP PLEASE! 40 POINTS AND WILL MARK BRAINLIEST.

Mathematics
1 answer:
pshichka [43]3 years ago
3 0

Answer:

Explicit rule, because you can find the 40th term directly using the explicit rule. You would need to find the first 39 terms before finding the 40th terms using recursive rule.

hope this helps...

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A sample space consists of five simple events, E1, E2, E3, E4, and E5. a If P(E1) = P(E2) = 0.15, P(E3) = 0.4, and P(E4) = 2P(E5
kvv77 [185]

Answer:

Step-by-step explanation:

Given that

A sample space consists of five simple events, E1, E2, E3, E4, and E5.

a If P(E1) = P(E2) = 0.15,

P(E3) = 0.4, and P(E4) = 2P(E5),

We know that total probability =1

i.e. sum of probabilities of All Eis would be 1

0.15+0.15+0.4+2x+x=1

where x = P(E5)

Solving for x we get

x=0.30

So P(E4) = 0.2 and P(E5) = 0.1

-----

b) Let P(E3) =P(E4) = P(E5) = y

then we have

total probability = 0.3+0.1+3y =1\\3y =0.6\\y = 0.2

Probability of remain are 0.2 each.

7 0
3 years ago
What is 0.6288 rounded to the nearest hundredth?
malfutka [58]

Rounded to the nearest hundredth, numbers look like this:

\ldots 0.60,\ 0.61,\ 0.62,\ 0.63,\ldots

So, our number lies between 0.62 and 0.63. We have to check which of the two is closer. To measure the distance between numbers, we use the absolute value of the difference:

|0.6288-0.62|=0.0088,\quad |0.6288-0.63|=0.0012

Since 0.0012, we deduce that 0.63 is closer to 0.6288 than 0.62, and thus it's a better approximation.

8 0
3 years ago
What is the product of 8.2 x 10^2 and 3.4 x 10^5
Anuta_ua [19.1K]

Answer:

278,800,000 (Real Number) or 2.788 *10^8 (Scientific Notation)

Concepts:

  • - Order of Operations

Parenthesis: ( )

Exponents: x²

Multiplication: ×

Division: ÷

Addition: +

Subtraction: -

Step-by-Step Solution:

8.2*10^2*3.4*10^5

Simplify exponents and square roots

8.2*10^2*3.4*10^5

8.2*10^2*3.4*100000

8.2*100*3.4*100000

820*3.4*100000

2788*100000

278800000

<h2>Answer:</h2>

278,800,000

Why learn this:

  • Order of operations is a basic rule of algebra. It tells us what to solve first when we have an equation with multiple functions, which is something that you will likely encounter throughout your math studies. The order is: Parentheses, Exponents, Multiplication and Division, then finally Addition and Subtraction. Remember that when you're solving within the parentheses, the Order of Operations applies!

Terms and topics

  • Order of operations

8 0
3 years ago
Jill has to go to the post office before she drops her 3 children off at the elementary school. She is going straight home after
Scilla [17]

Answer:

18

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
The city of Anville is currently home to 16000 people, and the population has been growing at a continuous rate of 4% per year.
Nesterboy [21]

Answer

After 13.15 years the population of both towns will become equal.

Step-by-step explanation:

Population of the city Anville is given by using the compound interest formula  

The formula of compound interest

A = p( 1+r/n)^n*t

using this we get

P1 = 16000 (1 +\frac{0.04}{1}) ^1*t

Population of the city of Brinker will be

P2 = 11000( 1  + \frac{0.07}{1}) ^1*t

now to make equal population in both towns

P1=P2

16000 (1 +\frac{0.04}{1}) ^1*t = 11000( 1  + \frac{0.07}{1}) ^1*t

(\frac{1.04}{1.07} )^t = \frac{11}{16}

t = 13.15 years

5 0
3 years ago
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