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AveGali [126]
2 years ago
14

Ricky invested $135 into a bank account with a 4.5%

Mathematics
1 answer:
matrenka [14]2 years ago
4 0

Answer:

231.43

Step-by-step explanation:

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An isometric reflection is a reflection over a point or line. A dilation is not isometric transformation

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Solve for x.<br><br> 8x^2-3=2
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(2^3x^2 -  3) -  2  = 0 \\ \\  Factoring:  \ 8x^2-5 \\ \\   8x^2 - 5  = 0 \\ \\  Add \ 5  \ to \ both \ sides \ of \ the \ equation : \\ \\ &#10;                      8x^2 = 5 \\ \\ Divide \ both \ sides \ of \ the \ equation \ by \ 8: \\ \\ &#10;                     x^2 =  \frac{5}{8}  = 0.625 \\ \\ \boxed{ x  =\pm  \sqrt 5/8}

Your answer: Option A
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3 years ago
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The number of errors in a textbook follow a Poisson distribution with a mean of 0.03 errors per page. What is the probability th
maksim [4K]

Answer:

The probability that there are 3 or less errors in 100 pages is 0.648.        

Step-by-step explanation:

In the information supplied in the question it is mentioned that the errors in a textbook follow a Poisson distribution.

For the given Poisson distribution the mean is p = 0.03 errors per page.

We have to find the probability that there are three or less errors in n = 100 pages.

Let us denote the number of errors in the book by the variable x.

Since there are on an average 0.03 errors per page we can say that

the expected value is, \lambda = E(x)

                                       = n × p

                                       = 100 × 0.03

                                       = 3

Therefore the we find the probability that there are 3 or less errors on the page as

     P( X ≤ 3) = P(X = 0) + P(X = 1) + P(X=2) + P(X=3)

                 

   Using the formula for Poisson distribution for P(x = X ) = \frac{e^{-\lambda}\lambda^X}{X!}

Therefore P( X ≤ 3) = \frac{e^{-3} 3^0}{0!} + \frac{e^{-3} 3^1}{1!} + \frac{e^{-3} 3^2}{2!} + \frac{e^{-3} 3^3}{3!}

                                 = 0.05 + 0.15 + 0.224 + 0.224

                                 = 0.648

 The probability that there are 3 or less errors in 100 pages is 0.648.                                

7 0
3 years ago
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3 numbers are in arithmetic progression their sum is15 and their product is 80 determine the 3 numbers
Mashcka [7]

Answer:

2, 5, 8

Step-by-step explanation:

For starters, let us assume that the numbers are x-d, x, and x+d.

Where d is the common difference between terms.

This mean that we can say, from the question

x-d + x + x+d = 15

3x = 15,

x = 5,

This means that the terms are 5, 5-d and 5+d.

On the other hand,

(5-d) * 5 * (5+d) = 80

(5-d) * (5+d) = 80/5

(5-d) * (5+d) = 16

25 - d² = 16

d² = 9

d = + or - 3.

Finally, the three numbers will be 2, 5, and 8. On the flipside, their sum and product are 15 and 80.

6 0
3 years ago
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