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Jobisdone [24]
3 years ago
10

(2,-4) and ( -1,1) standard form

Mathematics
1 answer:
slega [8]3 years ago
4 0

<em>This question will require the understanding of "standard form". </em>

<em>x+y={number}</em>

TO  SOLVE:

<em>We will first need to find the slope. The slope can be determined by:</em>

\frac{y^{2}-y^{1}}{x^{2}-x^{1}}

<em>So our equation will be:</em>

\frac{-4-1}{2+1}

<em>The slope will be -5/3. Now, let's solve the y-intercept also known as (0, y). To find this, we will just plug in our numbers. (I'd like to do this in y-intercept form)</em>

y=mx+b

<em>To solve, we will take either of the points. I'll choose (-1, 1) as it is easier. </em>

1=-1(-5/3)+b

1=(5/3)+b

-2/3=b

<em>So, our slope intercept form will be:</em>

y=-5/3x-2/3.

<em>We will convert it by subtracting x from both sides.</em>

<em>So thus, </em><em>5/3x+y=-2/3 </em><em>is the answer!</em>

--------------------------------------------------------------------------------------------------------

If you believe this answer helped, please rate it! Please give me your honest opinion, meaning you may give me 1/5 depending on how good I explained so I can improve it!

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A scientist claims that 7% 7 % of viruses are airborne. If the scientist is accurate, what is the probability that the proportio
Reptile [31]

Answer:

The probability is P(|p-\^{p}| >  0.03)  =   0.0040

Step-by-step explanation:

From the question we are told that

   The population proportion is p =  0.07

   The mean of the sampling distribution is   \mu_p =  0.07

   The sample size is n = 600

Generally the standard deviation is mathematically represented as

     \sigma_p  =  \sqrt{\frac{p (1 -p)}{n} }

=>    \sigma_p  =  \sqrt{\frac{0.07(1 -0.07)}{600} }    

=>    \sigma_p  =  0.010416    

Generally the probability that the proportion of airborne viruses in a sample of 600 viruses would differ from the population proportion by greater than 3% is mathematically represented as

      P(|p-\^{p}| >  0.03) =  1 - P(|p -\^{p}| \le 0.03)

=>   P(|p-\^{p}| >  0.03)  =  1 -  P(-0.03 \le p -\^{p} \le 0.03 )

Now  add p  to  both side of the inequality

=>   P(|p-\^{p}| >  0.03)  =  1 -  P( 0.07-0.03  \le \^{p} \le 0.03+ 0.07 )

=>   P(|p-\^{p}| >  0.03)  =  1 -  P(0.04 \le \^{p} \le 0.10 )

Now  converting the probabilities to their respective standardized score

=> P(|p-\^{p}| >  0.03)  =  1 -  P(\frac{0.04 - 0.07}{0.010416}  \le Z \le \frac{0.10 -0.07}{0.010416}  )

=> P(|p-\^{p}| >  0.03)  =  1 -  P(-2.88  \le Z \le 2.88 )

=>   P(|p-\^{p}| >  0.03)  =   1 - [P(Z \le 2.88) - P(Z \le -2.88)]

From the z-table  

       P(Z \le 2.88)  =  0.9980

and

       P(Z \le -2.88)  = 0.0020

So

     P(|p-\^{p}| >  0.03)  =   1 - [0.9980 - 0.0020]

=>   P(|p-\^{p}| >  0.03)  =   0.0040

     

7 0
3 years ago
Lee fifth grade class has 1.4 times as many students as Fred's. If there are a total of 60 students. How many students does Fred
Kipish [7]
Lees class has 1.4 times more..
25 x 1.4= 35....which is Lee's total
Fred's would be the 25.
25 + 35 = 60
I just picked #s to start
example: 23x 1.4=32.2. 23+32.2=55.2...not 60
8 0
3 years ago
Crystal Rollerbladed 150 feet in 15 seconds, while Gavin rollerbladed 150 feet in 10 seconds. Without doing any calculations, wh
mario62 [17]

Answer: Gavin was faster because his time was less than Crystal's.

Step-by-step explanation: They rollerbladed the same distance but Gavin did it in less time.

Hope this helped!

Mark Brainliest if you want!

3 0
3 years ago
Read 2 more answers
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tomato : 7/12(36) = 21 cups
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3 years ago
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