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3 years ago

What is the equation of the line that passes through (-5 0) and (4 ,3)

Mathematics

2 answers:

zhenek [66]3 years ago

8 0

Here x1 = -5 , y1 = 0 , x2 = 4 and y2 = 3

equation of straight line

y - y1 = y2 - y1 / x2 - x1 (x - x1)

y - 0 = 3 - 0 / 4 + 5 (x + 5)

y = 3/9 ( x + 5)

9y = 3x + 15

3x + 15 - 9y = 0

Therefore 3x + 15 - 9y = 0 is requried answer.

mixas84 [53]3 years ago

6 0

Answer:

in slope intercept form is y=1/3x+5/3

Step-by-step explanation:

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3 years ago

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3 years ago

The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the e

Viefleur [7K]

Answer:

The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

Suppose a sample of 1537 tenth graders is drawn. Of the students sampled, 1184 read above the eighth grade level. So 1537 - 1184 = 353 read at or below this level. Then

$n = 1537, \pi = \frac{353}{1537} = 0.2297$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2297 - 1.96\sqrt{\frac{0.2297*0.7703}{1537}} = 0.2087$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2297 + 1.96\sqrt{\frac{0.2297*0.7703}{1537}} = 0.2507$

The 95% confidence interval for the population proportion of tenth graders reading at or below the eighth grade level is (0.2087, 0.2507).

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3 years ago

...............what is (9x^2-3)^6

Lelu [443]

Step 1. Factor out the common term $3$

$(3(3 x^{2}-1)^{6}$

Step 2. Use Multiplication Distributive Property: $(xy)^{a} = x^{a} y^{a}$

 $3^{6}(3 x^{2}-1)^{6}$

Step 3. Simplify $3^{6}$ to $729$

$729(3 x^{2}-1)^{6}$

Done!

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3 years ago

Write the following comparison as a ratio reduced to lowest terms. 88 quarters to 30 dollars

LUCKY_DIMON [66]

You need to find common factors. The factors of 88 are 1 and 88, 2 and 44, 4 and 22, and 8 and 11. The factors of thirty are 1 and 30, 2 and 15, and 5 and 6. The greatest common factor is 2 so the ratio is 44:15.

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3 years ago

What is the equation of the line that passes through (-5 0) and (4 ,3)​

What is the equation of the line that passes through (-5 0) and (4 ,3)