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mezya [45]
3 years ago
8

Solve the system with the addition method: Write your answer in the form

Mathematics
1 answer:
Sidana [21]3 years ago
3 0

since there is already 2 7x's we can multiply a positive 1 so we can eliminate the 7x's

+1 (-7x-4y=-7) = 7x+4y=7

7x+4y=7

-7x-2y=-4

2y=3

divide 2 on both sides to isolate y

y=2/3

now to find x you will have to plug in 2/3 to one of the original equations

-7x-2(2/3)=-4

-7x-1.33=-4

add 1.33 to both sides

-7x=2.67

divide -7 on both sides

x=0.38

hope this helped hon:)

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Otrada [13]

Answer:

1. \dfrac{120}{285}=\dfrac{8}{19}

2. \dfrac{25}{285}=\dfrac{5}{57}

Step-by-step explanation:

1. Russell is 5'9'' (under 6 feet). There are 130+120+35=285 players with the height under 6 feet and 120 of them are forwards. The probability that Russell is a forward is

\dfrac{120}{285}=\dfrac{8}{19}

2.  Peter is 6'2'' (over 6 feet). There are 25+30+30=85 players with the height over 6 feet and 25 of them are guards. The probability that Peter is a guard is

\dfrac{25}{285}=\dfrac{5}{57}

4 0
3 years ago
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Over the past decade, the mean number of hacking attacks experienced by members of the Information Systems Security Association
fredd [130]

Answer:

P(X>600)=P(\frac{X-\mu}{\sigma}>\frac{600-\mu}{\sigma})=P(Z>\frac{600-510}{14.28})=P(z>6.302)

And we can find this probability using the complement rule and the normal standard distribution and we got:

P(z>6.302)=1-P(z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the number of attacks of a population, and for this case we know the distribution for X is given by:

X \sim N(510,14.28)  

Where \mu=510 and \sigma=14.28

We are interested on this probability

P(X>600)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>600)=P(\frac{X-\mu}{\sigma}>\frac{600-\mu}{\sigma})=P(Z>\frac{600-510}{14.28})=P(z>6.302)

And we can find this probability using the complement rule and the normal standard distribution and we got:

P(z>6.302)=1-P(z

7 0
3 years ago
Given triangle ABC with coordinates A(−6, 4), B(−6, 1), and C(−8, 0), and its image A′B′C′ with A′(−2, 0), B′(−5, 0), and C′(−6,
Zinaida [17]

Answer:

  The line of reflection is at y = x+6.

Step-by-step explanation:

The perpendicular bisector of AA' is a line with slope 1 through the midpoint of AA', which is (-4, 2). In point-slope form, the equation is ...

  y = 1(x +4) +2

  y = x + 6 . . . . . . . line of reflection

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If 3 quarts of paint are needed for 50 ft of fence, how many quarts are needed for 300 ft of fence?
Zina [86]

Answer:

18

Step-by-step explanation:

First, you would do a proportion

\frac{3}{50}=\frac{x}{300}

Then you would cross multiply, getting 50x=900.

After that, you would do 900/50, which is 18.

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Twenty-five employees decide to chip in to buy a small refrigerator for the office. If the cost of the refrigerator is $275, how
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275 / 25 = 11    25 goes into 275 11 times
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