Solve the following system of equations 2x+y=11 and -x+2y=2

Mathematics

1 answer:

givi [52]3 years ago

7 0

{2x+y=11
{-x+2y=2 //*2

{2x+y=11
+
{-2x+4y=4

5y=15
y=3
-x+6=2
x=4
Answer
x=4; y=3

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A sample of students from an introductory psychology class were polled regarding the number of hours they spent studying for the

Anni [7]

Answer:

$8.68,13.16$

Step-by-step explanation:

Hint- First we have to calculate the mean and standard deviation of the sample and then applying formula for confidence interval we can get the values.

Mean of the sample is,

$\mu=\dfrac{\sum _{i=1}^{24}a_i}{24}=\dfrac{262}{24}=10.92$

Standard deviation of the sample is,

$\sigma =\sqrt{\dfrac{\sum _{i=1}^{24}\left(x_i-10.92\right)^2}{24-1}}=5.6$

The confidence interval will be,

$=\mu \pm Z\dfrac{\sigma}{\sqrt{n}}$

Here,

Z for 95% confidence interval is 1.96, and n is sample size which is 24.

Putting the values,

$=10.92 \pm 1.96\cdot \dfrac{5.6}{\sqrt{24}}$

$=10.92 \pm 2.24$

$=8.68,13.16$

Confidence interval is used to express the degree of uncertainty associated with a sample.

95% confidence interval means that if we used the same sampling method to select different samples and calculate an interval, we would expect the true population parameter to fall within the interval for 95% of the time.

5 0

3 years ago

2+2=2x+2<br> what is the answer?

torisob [31]

2+2=2x+2
-2 to both sides
2=2x
Divide 2
X=1

8 0

3 years ago

Read 2 more answers

SOMEONE PLEASE HELP ME I WILL GIVE YOU BRAINLY

Ivanshal [37]

Step-by-step explanation:

a scatter plot with no association