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ivolga24 [154]
3 years ago
11

2x+3y=23 3x-y=7 Solve for x

Mathematics
1 answer:
NeTakaya3 years ago
5 0
2x + 3y = 23...........................(1)

3x  - y  =  7   Multiply by 3:-

9x - 3y = 21      Adding this to equation (1):-

11x = 44
x = 

Plug this into equation (1):-
2(4) + 3y = 23

3y = 15
y = 5

Answer is x = 4, y = 5

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Viefleur [7K]

Answer:

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Step-by-step explanation:

Start by plotting -3 on the y-axis

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3 years ago
The time needed for all college students to complete a certain paper-and-pencil maze follows a normal distribution with a popula
oee [108]

Answer:

The correct option is a

Step-by-step explanation:

From the question we are told that

   The population mean is  \mu = 30\ seconds

    The standard deviation is  \sigma = 3 \ seconds

     The sample size is  n  = 9

    The null hypothesis is H_o: \mu  = 30

     The alternative hypothesis is  H_a  :  \mu \ne 30

    The level of significance is  \alpha = 0.01

    The sample mean is  \= x = 31.2

Generally the test statistics is mathematically represented as

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

=>   z = \frac{ 31.2 - 30}{ \frac{3}{\sqrt{9} } }

=>   z = 1.2

From the z table  the area under the normal curve to the right corresponding to  1.2  is    

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Generally the p-value is mathematically represented as

         p-value = 2 * P(Z >  1.2)

=>       p-value = 2 *0.11507

=>       p-value = 0.230

From the value obtained w can see that

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The decision rule is  

Fail to reject the null hypothesis

The conclusion is there is not enough evidence to support the claim

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3 years ago
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AlladinOne [14]

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3 years ago
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mars1129 [50]

Answer:

we get Rate of change = -3

Step-by-step explanation:

We need to calculate the rate of change for the following data:

x     y

-1     7

2     -2

7     -17

10   -26

The rate of change can be calculated using slope formula: Rate\:of\:change=\frac{y_2-y_1}{x_2-x_1}

From the table, we can take any 2 points

Suppose we take (-1,7) and (2,-2)

We have: x_1=-1, y_1=7,x_2=2, y_2=-2

Putting values in formula and finding rate of change

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3 0
3 years ago
A sample of 71 eggs yields a sample mean weight of 2.00 ounces. Assuming that the population standard deviation = 0.590 ounces,
Sauron [17]

Answer:

0.070 is the standard error of the mean weight in estimating a confidence interval estimate        

Step-by-step explanation:

We are given the following in the question:

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Sample size, n = 71

Alpha, α = 0.05

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S.E=\dfrac{\sigma}{\sqrt{n}}

Putting values, we get,

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Thus, 0.070 is the standard error of the mean weight in estimating a confidence interval estimate

5 0
3 years ago
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