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OlgaM077 [116]
3 years ago
10

What is the difference between the 8th square number and the 4th square number?

Mathematics
1 answer:
ad-work [718]3 years ago
3 0

Answer:

240

Step-by-step explanation:

The 8th square number is 2^8 = 256.

The 4th square number is 2^4 = 16.

Their difference is 256 - 16 = 240.

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On a multiple choice test of 13 questions, each question has four (4) possible answers, one of which is correct. For students wh
xeze [42]

Answer:

i. E(X) = 3.25

ii. \sqrt{V(X)} = 1.56

Step-by-step explanation:

For each answer, there are only two possible outcomes. Either it is correct, or it is not. The probability of an answer being correct is independent of other answers. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

In this problem, we have that:

Each question has four options, one of which is correct. So the probability of getting each answer correct is p = \frac{1}{4} = 0.25

There are 13 questions, so n = 13

i. The mean of the random variable X

E(X) = np = 13*0.25 = 3.25

ii. The standard deviation of the random variable X

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{13*0.25*0.75} = 1.56

3 0
3 years ago
Can someone help me pls​
Mice21 [21]

Answer:

The third option is correct I believe. x ^2 + 2x

5 0
3 years ago
The width of a rectangle measures (8.4x + 2.2) centimeters, and its length
lorasvet [3.4K]

The algebraic expression that will represent the perimeter in centimeters of the given rectangle is:  (25.8x +11.2) $ cm

<em><u>Recall:</u></em>

Perimeter of a rectangle = 2(L + W)

<em>Given the following dimension of a </em><em>rectangle</em><em>:</em>

  • width (W) = (8.4x + 2.2) cm
  • length (L) = (4.5x + 3.4) cm

To find the expression that represents the perimeter, plug in the given values into the formula for perimeter.

  • Thus:

Perimeter = 2((4.5x + 3.4) + (8.4x + 2.2))

  • Open the bracket

Perimeter = 2(4.5x + 3.4 + 8.4x + 2.2)

  • Add like terms together

Perimeter = 2(12.9x + 5.6)

  • Multiply

Perimeter = 25.8x +11.2

Therefore, the algebraic expression that will represent the perimeter in centimeters of the given rectangle is:  (25.8x +11.2) $ cm

Learn more here:

brainly.com/question/18869010

3 0
3 years ago
Factor this polynomial expression.
Zanzabum

Answer:

B) 2(x+3)(x+3)

Step-by-step explanation:

4 0
3 years ago
1=10^0 into logarithmic form
Tatiana [17]

Answer:

0 = log_{10} 1

Step-by-step explanation:

Base for the exponent and for the logarithm are the same!

10^0 is the <u>exponential</u> form where 10 is the base and 0 the exponent

log_{10} 1 is the l<u>ogarithm</u> form where 10 is the base

To solve log_{10} 1 =   ask the question :

To what power should I raise the base 10 to obtain the number 1 ?

The answer to the power 0 therefore

log_{10} 1 = 0

1 = 10^{0}   -is-the- exponential -form\\0 = log_{10} 1 - is -the -logarithmic -form

7 0
3 years ago
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