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3 years ago

Factor the expression 10x+40

Mathematics

1 answer:

BigorU [14]3 years ago

5 0

Factor 10 out of 10x+40. So, the correct answer is 10(x+4).
Hope this helps!:)

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The value of the definite integral / 212x – sin(x) dx / 122x-sin(x) is

blondinia [14]

Hi there!

$\boxed{= 70 + cos(12) - cos(2) \approx 71.26}$

$\int\limits^{12}_{2} {x-sin(x)} \, dx$

We can evaluate using the power rule and trig rules:

$\int x^n = \frac{x^{n+1}}{n+1}$

$\int x = \frac{1}{2}x^{2}$

$\int -sin(x) = cos(x)$

Therefore:

$\int\limits^{12}_{2} {x-sin(x)} \, dx = [\frac{1}{2}x^{2}+cos(x)]_{2}^{12}$

Evaluate:

$(\frac{1}{2}(12^{2})+cos(12)) - (\frac{1}{2}(2^2)+cos(2))\\= (72 + cos(12)) - (2 + cos(2))\\\\= 70 + cos(12) - cos(2) \approx 71.26$

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3 years ago

Graph the linear equations. Find three points that solve the equation -3x + 2y= 2

fredd [130]

Answer:

(0,1) , (2,4) , (4,7)

Explanation:

convert the equation into slope-intercept form (this would be y=3/2x+1)

now plug in random numbers for x and solve for y by multiplying them by 3/2 and adding 1.

7 0

3 years ago

Desperate<br> please Hurry<br> Question Down Below

aliina [53]

Answer:

Step-by-step explanation:

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16/4 = 4

8 0

2 years ago

Read 2 more answers

Explain symmetry property

Zigmanuir [339]

Answer:

This property states that if a = b, then b = a.

Step-by-step explanation:

That is, we can interchange the sides of an equation and the equation could still be true

3 0

3 years ago

Dorothy Little purchased a mailing list of 2,000 names and addresses for her mail order business, but after scanning the list sh

andrew-mc [135]

Answer:

$P(X > 0) = 0.9222$

Step-by-step explanation:

For each name, there are only two outcomes. Either the name is authentic, or it is not. So, we can solve this problem using the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

In this problem.

5 names are selected, so $n = 5$

A success is a name being non-authentic. 40% of the names are non-authentic, so $\pi = 0.40$ .

We have to find $P(X > 0)$

Either the number of non-authentic names is 0, or is greater than 0. The sum of these probabilities is decimal 1. So:

$P(X = 0) + P(X > 0) = 1$

$P(X > 0) = 1 - P(X = 0)$

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 0) = C_{5,0}*(0.40)^{0}*(0.6)^{5} = 0.0778$

$P(X > 0) = 1 - P(X = 0) = 1-0.0778 = 0.9222$

5 0

3 years ago