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SOVA2 [1]
3 years ago
12

To cancel a term.its necessary to add the _____to both sides of the equation​

Mathematics
1 answer:
ahrayia [7]3 years ago
8 0

Answer:

  To cancel a term, it is necessary to add the <em>opposite of the term</em> to both sides of the equation

Step-by-step explanation:

Adding opposites creates a sum of zero. Zero added to anything else does not change the its value. So, adding the opposite of a term effectively removes it from (that side of) the equation.

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These two rectangles are similar which is a correct proportion for corresponding sides
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to make the proportion we make the ratio of the similar sides

For example

4/8 = 12/x

or we can write it as 4/12 = 8/x

or 12/x = 4/8

So last option is correct

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Factor the following polynomial by grouping it in pairs.<br><br>4xy + 6 - x - 24
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Combine Like Terms:

=4xy+6+−x+−24

=(4xy)+(−x)+(6+−24)

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Answer:

=4xy−x−18

3 0
3 years ago
A survey found that 78% of students do their homework before 10:00 predict how many students out 975 do their homework before 10
GenaCL600 [577]
Hi Zahra, I've found a very simple and effective way of calculating percentages. 78% refers to 78 out of every 100, which can also be written as "0.78". Now, we can simply multiply 0.78 by your number (975) to get 760.5 students. Obviously, there isn't a half a student, so we round that number up to 761. So 761 out of 975 students do their homework before 10:00.
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What must you assume when you use a rate to make a prediction?
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The average household income for a recent year was $30,000. five years earlier the average household income was $24,500. assume
ikadub [295]

Using hypothesis test, we conclude that there is evidence to believe that the average household income has increased.

According to the question,

The average household income for a recent year (x₁⁻) = $30,000

The average household income for a recent year (x₂⁻) = $24,500

sample sizes n₁ = n₂ = 34

standard deviation of both samples were $24,500. Thus, s₁ = s₂ = $5928.

Null hypothesis:  There is no evidence to believe that the average household income has increased.

H₀ : μ₁ ≤ μ₂

Alternative hypothesis:  There is evidence to believe that the average household income has increased.

H₁: μ₁ > μ₂  

To check hypothesis we have the formula

Standard error=  \sqrt{\frac{s_{1} ^{2} }{n_{1} } + \frac{s^{2} _{2} }{n_{2} }  }

= \sqrt{2067128.4706}

= 1437.7512

Thus, standard error is $1437.7512.

Formula for test statistic = [(x₁⁻ -  x₂⁻) - (μ₁ - μ₂)]/standard error

= [(30000 -  24500) - 0]/1437.7512

= 3.8254

The critical value of z at 5% level of significance is 1.6449.

Here, the calculated value is greater than the critical value so we reject H₀.

Hence using hypothesis test, we conclude that there is evidence to believe that the average household income has increased.

Learn more about hypothesis test here

brainly.com/question/15060525

#SPJ2

3 0
2 years ago
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