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Alona [7]
3 years ago
15

Write the equation in slope-intercept form of the line that is parallel to the

Mathematics
1 answer:
aliina [53]3 years ago
8 0

Answer:

the desired equation is y = 3x - 5

Step-by-step explanation:

The correct form of this equation is y = mx + b, where m is the slope and b is the y-intercept.

Any line parallel to the given y = 3x + 6 has an equation of exactly the same form except for the y-intercept (b = 6).

We must find an appropriate y-intercept.  To do this, substitute 4 for x and 7 for y in y = 3x + C:  7 = 3(4) + C, or 7 = 12 + C, or C = -5.

Then the desired equation is y = 3x - 5

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Several years​ ago, 43​% of parents who had children in grades​ K-12 were satisfied with the quality of education the students r
Ne4ueva [31]
<h2><u>Answer with explanation</u>:</h2>

Let p be the population proportion of parents who had children in grades​ K-12 were satisfied with the quality of education the students receive.

Set of hypothesis :

H_0: p=0.43\\\\ H_a:p\neq0.43

Confidence interval for population proportion is given by :-

\hat{p}\pm z_c\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}} , where

n= sample size

\hat{p}= sample proportion

and z_c is the two-tailed z-value for confidence level (c).

As per given ,

Sample size of parents : n= 1085

Number of parents indicated that they were satisfied= 466

Sample proportion :  \hat{p}=\dfrac{466}{1085}\approx0.429

Critical value for 90​% confidence interval : z_c=1.645  ( by z-value table)

Now, the  90​% confidence interval :

0.429\pm (1.645)\sqrt{\dfrac{0.429(1-0.429)}{1085}}\\\\=0.429\pm 0.0247\\\\=(0.429-0.0247,\ 0.429+0.0247)\\\\=(0.4043,\ 0.4537)

Thus , the 90​% confidence interval: (0.4043, 0.4537).

Since 0.43 lies in 90​% confidence interval , it means we do not  have enough evidence to reject the null hypothesis .

i.e. We are have no evidence that parents' attitudes toward the quality of education have changed.

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3 years ago
Write an algebraic expression for the following: twice a number *
Sliva [168]
2x ! the number would be x and 2x is 2 times x!
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How many points need to be removed from this graph so it will be a function?​
finlep [7]

Answer:

3 points

Step-by-step explanation:

in a function, an x-value must have only one y-value correlated with it.

So, you would need to remove either (-3, 2) or (-3, 3)

And, you would need to remove either (2, -2) or (2, -4)

<em>And, </em>you would need to remove either (1, 4) or (1, -4)

So--you need to remove 3 points in total for this to be a function.

[a y-value can have multiple x-values. the two points at -4 are allowed, and do not need to be removed for both of them to be there]

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1 year ago
Evaluate 3-8/2 +3x5​
wolverine [178]
<h2>Answer:</h2><h2>3-8/2+3×5</h2><h2>5/2</h2><h2>2.5 + 3×5</h2><h2>2.5+15</h2><h2>= 17.5*</h2>

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