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Deffense [45]
3 years ago
14

The following system of equations is _____.

Mathematics
1 answer:
hoa [83]3 years ago
3 0
The correct answer among the choices listed above is the second option. <span>The following system of equations is equivalent. This is because when written in the same form, one equation will yield to the same equation as the other.

</span>y = -1/3x +2/3 

<span>2x + 6y = 4
</span>6y = 4 - 2x
y = 2/3 - 1/3x
<span>y = -1/3x +2/3 </span>
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A survey of 1 comma 558 randomly selected adults showed that 522 of them have heard of a new electronic reader. The accompanying
sineoko [7]

Answer with explanation:

Let  p be the proportion of adults have heard of the new electronic reader.

Given claim : The accompanying technology display results from a test of the claim that 38​% of adults have heard of the new electronic reader.

i.e. p=0.38

Then , the set of hypothesis will be :-

H_0: p=0.38\\\\H_a:p\neq0.38

Since, the alternative hypothesis is two tailed , so the test is two-tailed test.

Also, it is given that the sample size : n=1558

Number of adults showed that they have heard of a new electronic reader=522

So the sample proportion for adults have heard of the new electronic reader : \hat{p}=\dfrac{522}{1558}\approx0.34



The test statistic for proportion is given by :-

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\\\\Rightarrow\ z=\dfrac{0.34-0.38}{\sqrt{\dfrac{0.38(1-0.38)}{1558}}}\\\\\\\Rightarrow\ z=-3.25279036541\approx-3.25

By using standard normal distribution table , the P-value for two tailed test corresponds to the obtained z-value ==0.0011541

6 0
3 years ago
Can someone help me with this math problem
Elis [28]

Answer:

C. Divide both sides of the equation by -2.

Step-by-step explanation:

The goal of the equation is to isolate x. In order to do that we have to remove the '-2' by doing the inverse operation. That is the opposite operation, for example addition and subtraction, multiplication and division.

Since x is being multiplied by -2, we do the inverse which is division.

5 0
3 years ago
What is the length of side s of the square shown below?
horsena [70]

Answer:

E

Explanation:

well, process of elimination

4 0
3 years ago
Read 2 more answers
Do 12 / 15 and 8 / 10 have the same value? Explain your answer.
yKpoI14uk [10]
Hello there!


12/15 and 8/10 don't have the same value.

Reason: 
let's simplify both.

12/3 = 4

15/3 = 5

12/15 = 5/4


8/2 = 4

10/2 = 5

8/10 = 4/5


5/4 is greater than 4/5

5/4 > 4/5


Hope i helped!

Let me know if you need anything else!

~ Zoe
3 0
3 years ago
2.
mihalych1998 [28]
Answer:
False

Explanation:
No, a triangle cannot be constructed with sides of 2 in., 3 in., and 6 in.

For three line segments to be able to form any triangle you must be able to take any two sides, add their length and this sum be greater than the remaining side.
3 0
3 years ago
Read 2 more answers
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