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Mamont248 [21]
3 years ago
8

What is true if a pair of parallel lines are rotated

Mathematics
1 answer:
Verizon [17]3 years ago
5 0
They are still parallel, no matter how they are two parallel lines always remain parallel. 

Hope that was helpful 
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Consider the numbers 6 and<br> √<br> 7<br> Which statement is true?
Luden [163]

Answer:

Both the product and sum of the two numbers are irrational because

√

7

 is an irrational number.

Step-by-step explanation:

6 0
3 years ago
A TV company when purchasing thousands electronic components apply this sampling plan: randomly select 15 of them and then accep
katrin [286]
<h2>Answer with explanation:</h2>

According to the Binomial probability distribution ,

Let x be the binomial variable .

Then the probability of getting success in x trials , is given by :

P(X=x)=^nC_xp^x(1-p)^{n-x} , where n is the total number of trials or the sample size and p is the probability of getting success in each trial.

As per given , we have

n = 15

Let x be the number of defective components.

Probability of getting defective components = P = 0.03

The whole batch can be accepted if there are at most two defective components. .

The probability that the whole lot is accepted :

P(X\leq 2)=P(x=0)+P(x=1)+P(x=2)\\\\=^{15}C_0(0.03)^0(0.97)^{15}+^{15}C_1(0.03)^1(0.97)^{14}+^{15}C_2(0.03)^2(0.97)^{13}\\\\=(0.97)^{15}+(15)(0.03)^1(0.97)^{14}+\dfrac{15!}{2!13!}(0.03)^2(0.97)^{13}\\\\\approx0.63325+0.29378+0.06360=0.99063

∴The probability that the whole lot is accepted = 0.99063

For sample size n= 2500

Expected value : \mu=np= (2500)(0.03)=75

The expected value = 75

Standard deviation :  \sigma=\sqrt{np(1-p)}=\sqrt{2500(0.03)(0.97)}\approx8.53

The standard deviation = 8.53

6 0
3 years ago
Question 10 Please Help
svet-max [94.6K]

Answer:

1)· 5x + 2y = 9. First we solve for y. 2y= 9 -5x. y=(9-5x)/2. Now that we have the value of y. We substitute on the original equation and resolve. 5x + 2y = 95x + 2y = 9  5x + 2(9-5x)/2 = 9  5x + 9 - 5x = 9  9 = 9

That would be x = 1  

Now substitute and resolve to find y.  

5(1) + 2y = 9

5 + 2y = 9

2y = 4

y = 2

So our answer x=1 and y = 2. (1,2)

Proof :  

5(1) + 2(2) = 9

5+ 4 = 9

9 = 9

Step-by-step explanation:

hoped it helped for the first  one  i didnt now the second one

4 0
2 years ago
What is the answer to this question? 6 = x/4 +2
yanalaym [24]

Answer:

16

Step-by-step explanation

6 = x/4 + 2

subtract 2 from both sides

4 = x/ 4

since its dividing x and 4 you need to multiply 4 on both sides

16 = x

8 0
3 years ago
What is the x intercept of the function x^3-5x^2-8x+48
Zinaida [17]

Answer:

(x+3)(x-4)^2

Step-by-step explanation:

= (x+3)(x^3-5x^2-8x+48)/(x+3)

= x (x^3-5x^2-8x+48)/(x+3)

= x^2-8x+16

= (x+3)(x-4)(x-4)

= (x+3)(x-4)^2

4 0
3 years ago
Read 2 more answers
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