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iris [78.8K]
2 years ago
13

Find the measurement indicated in each parallelogram. VH=3x+4 VX=7x+3 find VX

Mathematics
1 answer:
kondaur [170]2 years ago
6 0
I’m a complete parallelogram
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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.

3 0
3 years ago
What is the solution of the system of equations? 6x-2y = 4 -9x+3y = 12
katrin2010 [14]

We will have the following:

First, we solve both equations for y, that is:

6x-2y=4\Rightarrow-2y=-6x+4\Rightarrow y=3x-2

&

-9x+3y=12\Rightarrow3y=9x+12\Rightarrow y=3x+4

From this we can see that they are parallel lines, that do not share any common points, so there is no solution for the system.

3 0
10 months ago
Is there enough information to prove the two triangles congruent? If yes, write the congruence statement and name the postulate
Aleks04 [339]
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3 0
2 years ago
Read 2 more answers
maple syrup worth $6.00 a gallon and corn syrup worth .80 cents a gallon are used to make a mixture worth $2.36 a gallon. How ma
WITCHER [35]

maple syrup = x

corn syrup = 50-x

6x + 0.8(50-x)=2.36*50

6x+40-0.8x=118

5,2x=78

x= 15 gallons of maple syrup

50-15 = 35 gallons of corn syrup

4 0
3 years ago
Rewrite using a single positive exponent.<br> 7^9 x 7^-2
lidiya [134]

Answer:

7^7

Step-by-step explanation:

When you multiply exponents with the same base, you add the exponents

Hope it helped!

6 0
2 years ago
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