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mel-nik [20]
3 years ago
14

1 Expand and simplify each expression a) x(x+2)+x(x+5)

Mathematics
1 answer:
Vladimir [108]3 years ago
3 0
X^2 + 2x + x^2 + 5x

2x^2 + 7x
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The times of all 15 year olds who run a certain race are approximately normally distributed with a given mean Mu = 18 sec and st
Brrunno [24]

The percentage of runners having times less than 14.4 sec is 0.15%. Then the correct option is A.

<h3>What is normal a distribution?</h3>

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The times of all 15-year-olds who run a certain race are approximately normally distributed with a given mean (μ) = 18 sec and standard deviation (σ) = 1.2 sec.

The runners have times less than 14.4 sec.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

\rm z-score = \dfrac{X - \mu}{\sigma }\\\\z-score = \dfrac{14.4- 18}{1.2}\\\\z-score = -3

Then the Percentage will be

\rm P(X < 14.4) = P(z < -3) = 0.0013499 = 0.13499\ \% \approx 0.15\ \%

More about the normal distribution link is given below.

brainly.com/question/12421652

3 0
3 years ago
What is a NON-EXAMPLE of a contant?
Vanyuwa [196]

A constant in algebra is a number on its own or a letter of the alphabet that can stand to represent a fixed number.

Step-by-step explanation:

For example ;

3x+5=11

in this equation

3 is the coefficient

x is a variable

+ is the operator

5 is a constant

11 is a constant

Learn More

A constant ;brainly.com/question/13225486

Keywords ; non-example, constant

#LearnwithBrainly

7 0
3 years ago
If y = x3 + 3x2 + 5, what is dy/dx A. 3x2 + 6x + 5 B. 6x2 C. 6x2 D. 3x2 + 6x 
Yanka [14]
You have to use these facts:

1) The derivative of a sum is the sum of the derivatives

2) d[x^n] / dx = n x ^ (n - 1)

3) d [a(f(x) ] / dx = a d [f(x)] / dx

=> d [x^3 + 3x^2 + 5] / dx =  d[x^3]/dx + 3d[x^2]/dx + 0

= 3x^2 + 6x

Answer: option D. 3x^2 + 6x
6 0
3 years ago
What is the equation of a line with a y-intercept of -3 and a slope of 4? Question 6 options: y=3x−4 y=−3x+4 y=4x−3 y=−4x+3
Alex17521 [72]

Answer:

y=4x-3

Step-by-step explanation:

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3 years ago
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At the library by 9 books on a certain topic the librarian tells you that 55% of the books on this topic have been signed out ho
Alex17521 [72]
About 5 books have been signed out, so they still have 4.
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