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3 years ago

If C = 2x^2+5x-1 and D = x-1 find an expression that equals C-3D in standard form.

Mathematics

1 answer:

sweet [91]3 years ago

8 0

Answer:

2x^2+2x+2 or 2(x^2+x+1)

Step-by-step explanation:

C = 2x^2+5x-1

D = x-1

C-3D = (2x^2+5x-1) - 3 * (x-1) =2x^2+5x-1-3x+3 =2x^2+2x+2 = 2(x^2+x+1)

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Robert can complete 10 inspections in 8 hours. Which represents the unit rate for the number of inspections he completes per hou

polet [3.4K]

The correct answer would be 1.25 inspections an hour because you just need to divide 10 by 8 and you should get 1.25. Hope this helps.

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2 years ago

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According to an article, 47% of adults have experienced a breakup at least once during the last 10 years. Of 9 randomly select

In-s [12.5K]

Answer:

a) $P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

b) $P(X=0)=(9C0)(0.47)^0 (1-0.47)^{9-0}=0.0033$

And replacing we got:

$P(X \geq 1)= 1-P(X$

c) $P(X=4)=(9C4)(0.47)^4 (1-0.47)^{9-4}=0.257$

$P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

$P(X=6)=(9C6)(0.47)^6 (1-0.47)^{9-6}=0.135$

And adding we got:

$P(4 \leq X \leq 6)= 0.257+0.228+0.135=0.620$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=9, p=0.47)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

Assuming the following questions:

a. exactly five

For this case we can use the probability mass function and we got:

$P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

b. at least one

For this case we want this probability:

$P(X \geq 1)$

And we can use the complement rule and we got:

$P(X \geq 1)= 1-P(X$

$P(X=0)=(9C0)(0.47)^0 (1-0.47)^{9-0}=0.0033$

And replacing we got:

$P(X \geq 1)= 1-P(X$

c. between four and six, inclusive.

For this case we want this probability:

$P(4 \leq X \leq 6)$

$P(X=4)=(9C4)(0.47)^4 (1-0.47)^{9-4}=0.257$

$P(X=5)=(9C5)(0.47)^5 (1-0.47)^{9-5}=0.228$

$P(X=6)=(9C6)(0.47)^6 (1-0.47)^{9-6}=0.135$

And adding we got:

$P(4 \leq X \leq 6)= 0.257+0.228+0.135=0.620$

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3 years ago

Which of the following statements is true about the triangles below?

anyanavicka [17]

Triangle ACB and triangle ABD share one side AB. This means they have one side that is congruent; side AB

Angle ABD = Angle ABC
Angle BAC = Angle BAD

The pair of angles that are equal lie on the side AB

Hence, triangle ABC and triangle ABD are congruent by Angle-Side-Angle (ASA)

Answer: Second option

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3 years ago

How many times of 0.00019% to equal 1%

ra1l [238]

Answer:

5263.15789474

Step by Step:

1 ÷ 0.00019 = 5263.15789474

Checking Answer:

0.00019 x 5263.15789474 = 1

So the answer is indeed 5263.15789474

Hope this Helps! :)

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2 years ago

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PLEASE HELP!! BRAINLIEST OFFERED!!!

Margaret [11]

Answer: f(x)= 3/2x-2

Step-by-step explanation:

So if you know how to graph on a calculator and put all the points in, it'll give you all the points plotted and when i did that i got

f(x)= 3/2x-2

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3 years ago

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