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3 years ago

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Wrote the equation of the line that passes through (3,4) and (2,-1) in slope intercept form

1 answer:

nordsb [41]3 years ago

6 0

So the equation of a line is y=mx + b.

In order to find the slope given only two coordinates we have to use a formula to find slope. It is:
y2-y1/x2-x1.

So let’s get all the values first from (3,4) and (2,-1).

y2= -1
y1=4
x2=2
x1=3
Plug in the values now.
-1 - 4 = -5
-5/2-3=5

The slope is 5x.

Now let’s find the y intercept, to find the y intercept, we have to do a formula which is:
y-y1=m(x-x1)
So let’s plug in the values.
y-4=5(x-3)
y-4=5x-15
+4 +4
y=5x-11

The final answer is y=5x-11!!!

Can I get the brainliest answer or a heart? Thank you. If you need any further help, please message me on brainly or message me on Instagram
@jessmyybest

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3 years ago

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The 2004 presidential election exit polls from the critical state of Ohio provided the following results. There were 2020 respon

lord [1]

Answer: a) $0.490\leq p\leq0.582$

b) $0.501\leq p$

Step-by-step explanation:

Given : Sample size of respondents in the exit polls : n= 2020

Number of respondents voted for George Bush = 412

Sample proportion: $\hat{p}=\dfrac{412}{768}\approx0.536$

a) Critical value for 99% confidence level : $z_{\alpha/2}=2.576$

Confidence interval for proportion:-

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$=0.536\pm (2.576)\sqrt{\dfrac{0.536(1-0.536)}{768}}\\\\=0.536\pm0.046\\\\=(0.490,\ 0.582)$

Hence, the 99% confidence interval for the proportion of college graduates in Ohio that voted for George Bush: $0.490\leq p\leq0.582$

b) Critical value for 95% confidence level : $z_{\alpha/2}=1.96$

Lower confidence bound for the proportion :

$\hat{p}- z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.536-(1.96)\sqrt{\dfrac{0.536(1-0.536)}{768}}\\\\=0.536-0.035=0.501$

Hence, a 95% lower confidence bound for the proportion of college graduates in Ohio that voted for George Bush : $0.501\leq p$

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3 years ago

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Find the prime factorization of the number.<br> 22<br> The prime factorization

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Answer:

Step-by-step explanation:

22 into 2 and 11

2 is already prime and 11 is already prime

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The length of Dwight's garden is 12.5 meters. Dwight measured it but made a measurement error of 6%. Find the lowest and highest

pishuonlain [190]

Answer: See Explanation

Step-by-step explanation:

From the question, The length of Dwight's garden is 12.5 meters but he measured it and made a measurement error of 6%.

The lowest measurement Dwight could have made will be:

= 12.5 - (6% × 12.5)

= 12.5 - (0.06 × 12.5)

= 12.5 - 0.75

= 11.75 meters

The lowest measurement Dwight could have made will be:

= 12.5 + (6% × 12.5)

= 12.5 + (0.06 × 12.5)

= 12.5 + 0.75

= 13.25 meters

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3 years ago

Enter Brackets To Make The Statement<br> 10 + 2 x 3²– 2 = 254

muminat

Consider expression $(10+2\cdot 3)^2-2$ :

1) $2\cdot 3=6;$

2) $10+2\cdot 3=10+6=16;$

3) $(10+2\cdot 3)^2=16^2=256;$

4) $(10+2\cdot 3)^2-2=256-2=254.$

Answer: $(10+2\cdot 3)^2-2=254.$

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3 years ago