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ivann1987 [24]
3 years ago
6

What is the justification for step 2 in the solution process?16-5x=1-4x; -5x=-4x-15; -x=-15

Mathematics
1 answer:
snow_lady [41]3 years ago
3 0

Answer:

Addition Property Of Equality

Step-by-step explanation:

The variable was isolated on the left side of the equation by adding 4x to both sides. This is justified by the addition property of equality.

Step 1: -5x = -4x -15

Step 2: -x = -15

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Answer:

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work for a publishing company. The company wants to send two employees to a statistics conference. To be​ fair, the company deci
Yuki888 [10]

Answer:

(a) S = {MR, MJ, MD, MC, RJ, RD, RC, JD, JC, DC}

(b) The probability that Roberto and John attend the​ conference is 0.10.

(c) The probability that Clarice attends the​ conference is 0.40.

(d) The probability that John stays​ home is 0.60.

Step-by-step explanation:

It is provided that :

Marco (<em>M</em>), Roberto (<em>R</em>), John (<em>J</em>), Dominique (<em>D</em>) and Clarice (<em>C</em>) works for the company.

The company selects two employees randomly to attend a statistics conference.

(a)

There are 5 employees from which the company has to select two employees to send to the conference.

So the total number of ways to select two employees is:

{5\choose 2}=\frac{5!}{2!(5-2)!}=\frac{5\times 4\times 3!}{2\times 3!}=10

The 10 possible samples are:

MR, MJ, MD, MC, RJ, RD, RC, JD, JC, DC

(b)

The probability of the event <em>E</em> is:

P(E)=\frac{n(E)}{N}

Here,

n (E) = favorable outcomes

N = Total number of outcomes.

The variable representing the selection of  Roberto and John is, <em>RJ</em>.

The favorable number of outcomes to select Roberto and John is, 1.

The total number of outcomes to select 2 employees is 10.

Compute the probability that Roberto and John attend the​ conference as follows:

P(RJ)=\frac{n(RJ)}{N}=\frac{1}{10}=0.10

Thus, the probability that Roberto and John attend the​ conference is 0.10.

(c)

The favorable outcomes of the event where Clarice attends the conference are:

n (C) = {MC, RC, JC and DC} = 4

Compute the probability that Clarice attends the​ conference as follows:

P(C)=\frac{n(C)}{N}=\frac{4}{10}=0.40

Thus, the probability that Clarice attends the​ conference is 0.40.

(d)

The favorable outcomes of the event where John does not attends the conference are:

n (J') = MR, MD, MC, RD, RC, DC

Compute the probability that John stays​ home as follows:

P(J')=\frac{n(J')}{N}=\frac{6}{10}=0.60

Thus, the probability that John stays​ home is 0.60.

4 0
3 years ago
What is the measure of each angle?
Elza [17]

Answer:

The measure of the angles are 46, 89, and 41 degrees.

Step-by-step explanation:

In order to find this, we need to add all 3 angles together and set equal to 180. Then we can find x.

x + 2x - 3 + x - 5 = 180

4x - 8 = 180

4x = 188

x = 46

Now we can find the value of each angle using the value of x.

Angle 1:

x = 46

Angle 2:

2x - 3

2(46) - 3

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Angle 3:

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3 0
2 years ago
A newsletter publisher believes that less than 58% of their readers own a Rolls Royce. For marketing purposes, a potential adver
quester [9]

Answer:

We don´t have at 95% of confidence, evidence to reject the publisher´s claim

Step-by-step explanation:

Population mean      p₀ = 58 %    or    p₀ = 0,58  

Hypothesis Test:

Null Hypothesis                  H₀           p  =  p₀

Alternative Hypothesis      Hₐ           p  <  p₀

For a significance level α = 0,05  means that CI = 95 % or  CI = 0,95

z(c) = - 1,64

MOE = z(c)* √(p*q)/n

p  -  p₀  / √(p*q)/n  = z(s)

And  that  z(s) is in the acceptance region

|z(s)| < |z(c)|

|z(s)| < 1,64

Then if that so we fail to reject H₀ . We don´t have evidence to reject the publisher´s claim

8 0
2 years ago
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