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Nonamiya [84]
3 years ago
9

Arrange the steps to solve this system of linear equations in the correct sequence. Screenshot included. (Please help)

Mathematics
2 answers:
Oduvanchick [21]3 years ago
6 0

Answer:

Step-by-step explanation:

Given the system of linear equation

x+y=-2... 1

2x-3y=-9... 2

The following steps are to be followed to get the x variable.

Step 1:

First we need to eliminate one out of the two variables.

To do this:

Multiply the first equation by 3 to have

3(x+y) = 3(-2)

3x+3y = -6

Step 2:

Add 3x+3y = -6 obtained in step 1. to equation 2 given (2x-3y=-9) and solve for x

Adding up we have:

5x = -6+(-9)

5x = -15

x = -15/5

x = -3

Step 3:

Substitute the value of x into the first equation (x+y = -2) to get y = 1

-3+y = -2

y = -2+3

y = 1

Step 4:

The solution to the system of equation is (-3,1)

Leya [2.2K]3 years ago
5 0
The answer to the question

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Naddik [55]

Answer:

X \sim N(114.8,13.1)  

Where \mu=114.8 and \sigma=13.1

We are interested on this probability

P(X>140)

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:

And we can find this probability using the complement rule:

P(z>1.924)=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 variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(114.8,13.1)  

Where \mu=114.8 and \sigma=13.1

We are interested on this probability

P(X>140)

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>140)=P(\frac{X-\mu}{\sigma}>\frac{140-\mu}{\sigma})=P(Z>\frac{140- 1114.8}{2.6})=P(z>1.924)And we can find this probability using the complement rule:

P(z>1.924)=1-P(z

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12 for the first one, 6*4=24 24 divided by 2
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Identify the corresponding word problem given the equation: x = 4 × 9
Firdavs [7]
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After the bank cashed a check Maureen wrote for $60, her balance was -$14.The equation b+(-60)=-14 can be used to represent this
dem82 [27]

we are given

b+(-60)=-14

Since, we have to solve for b

b-60=-14

so, we will isolate b ony one side

so, we will add 60 on both sides

b-60+60=-14+60

b=-14+60

b=46

so,

Answer:

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5 0
2 years ago
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ASAP!!! PLEASE help me solve this question! No nonsense answers, and solve with full solutions.
stellarik [79]

Answer:

134

Step-by-step explanation:

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x = 1/2 ( m DH + m BC)

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