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rewona [7]
3 years ago
6

Melanie drew a line l and a point P that was not on l . Which of these is an impossible value for the number of line segments th

at begin at point P, end on line l , and have length 2 units?
A) zero
B) exactly one
C) exactly two
D) infinitely many
Mathematics
2 answers:
marusya05 [52]3 years ago
6 0
I think it is
C.) <span>exactly two </span>
LiRa [457]3 years ago
5 0

Answer:

D

Step-by-step explanation:

There are 3 cases:

  • there is only 1 segment between P and I that have a length of 2 (that segment is perpendicular to line I)
  • there are only 2 segments between P and I that have a length of 2 (in this case, P is nearer than before)
  • P is further than the first case, so that, any segment is longer than 2.

The impossible case is that there are infinite segments of length 2

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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
How many solutions does the equation 4x + 8 = −2 − 2 + 5x have?
Anna71 [15]
<span>4x + 8 = −2 − 2 + 5x
5x - 4x = 8 + 4
x = 12

There's only one solution, x = 12</span>
3 0
3 years ago
Read 2 more answers
OMG can someone please help me solve this problem
klasskru [66]
The correct answer is A.) { - 0.79 ; 1.08 }, because 
<span><span> <span>For </span><span>ax^2 + bx + c = 0</span><span>, the value of </span>x<span> is given by:</span></span>  <span>  ;
a = - 7 ; b = 2 ; c = 6 ; 
b^2 - 4ac = 4 + 168 = 172 ; </span></span>\sqrt{172}≈ 13.11 ;<span><span>
x 1 = ( - 2 + 13.11 ) / (- 14) = 11.11 / ( - 14 ) </span></span>≈<span><span> -0.79 ;
x = 2 = ( - 2 - 13.11 ) / ( - 14 ) = (-15.11) / (- 14  ) </span></span>≈ 1.08 ;<span><span>

</span></span>
5 0
3 years ago
Please answer this correctly
r-ruslan [8.4K]

Answer:

40 - 59 ⇒ 6

60 - 79 ⇒ 5

3 0
3 years ago
Read 2 more answers
WORTH 25 POINTS PLEASE HELP!!!
GalinKa [24]
Just subtract the smaller volume from the larger:

10 × 10 ×15 - 7 × 9 × 12 

First you would multiply 10 × 10 × 15 = 1500 and then multiply 7 × 9 × 12 = 756.

After you would subtract 1500 - 756 which would give you 744

I hope that helped!
7 0
3 years ago
Read 2 more answers
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