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IrinaVladis [17]
3 years ago
10

1.01x10^4 decimal notation

Mathematics
1 answer:
marshall27 [118]3 years ago
4 0

1.01\times10^4=1.01\times10,000=1\underbrace{0100}_{4\to}=10,100

Answer:

1.01 × 10⁴ - scientific notation

10,100 - decimal notation

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Which of the following is an arithmetic sequence? A.-2, 4, -6, 8, ... B.2, 4, 8, 16, ... C.-8, -6, -4, -2, ...
castortr0y [4]

Answer:

C. -8, -6, -4, -2, ...

Step-by-step explanation:

An arithmetic sequence increases by the same amount every time through addition or subtraction. There is a common difference.

A: -2, 4, -6, 8, ... If there were a common difference, the numbers would not switch between being positive and back to negative. The numbers would either keep going positive or keep going negative.

B: 2, 4, 8, 16, ... The common difference between 16 and 8 is 16 - 8 = 8. The difference between 8 and 4 is 8 - 4 = 4. Since the difference changes between the numbers, this is not an arithmetic sequence.

C. -8, -6, -4, -2, ... The common difference between -2 and -4 is -2 - (-4) = -2 + 4 = 2. The difference between -4 and -6 is -4 - (-6) = -4 + 6 = 2. The difference between -6 and -8 is -6 - (-8) = -6 + 8 = 2. Since the common difference is always two, this is an arithmetic sequence.

Hope this helps!

3 0
3 years ago
IQ scores are normally distributed with a mean of 100 and a standard deviation of 15.
jekas [21]

Using the normal distribution, it is found that 1851 people would have an IQ less than 115.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

\mu = 100, \sigma = 15

The proportion of IQ scores less than 115 is the <u>p-value of Z when X = 115</u>, hence:

Z = \frac{X - \mu}{\sigma}

Z = \frac{115 - 100}{15}

Z = 1

Z = 1 has a p-value of 0.8413.

Out of 2200 people:

0.8413 x 2200 = 1851.

More can be learned about the normal distribution at brainly.com/question/27643290

#SPJ1

5 0
1 year ago
Tomas wrote the equation y = 3x +3/4. When Sandra wrote her equation, they discovered that her equation had all the same solutio
mamaluj [8]
–6x + 2y = 3/2

or, 2y= 6x + 3/2
or, y= (6x + 3/2)/2
or, y = 6x/2 + 3/4
or, y = 3x + 3/4

Therefore, –6x + 2y = 3/2 is Sandra's equation.  


4 0
3 years ago
Read 2 more answers
Please answer, I need help
Mashcka [7]

Answer:

answer is 9

Step-by-step explanation:

p - ( q - (m +q) )

make m = 4

p = 5

q = 3

5 - ( 3 - ( 4+3) )

5 - ( 3 - 7 )

5 - - 4

= 9

4 0
2 years ago
Read 2 more answers
(-a + 1)(5a + 6) =<br> Help me with this please
grandymaker [24]

Answer:

4a + 7 = SIMPLIFIED

4a = -7

a= -1.75 ANSWER OF EXPONENT IF NEEDED

4 0
3 years ago
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