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2 years ago

What is the slope of the line that passes through the points (-8, 3) and (-8, 2)?

Mathematics

1 answer:

miss Akunina [59]2 years ago

5 0

Because x1 = x2 = -8 the line is vertical.

The slope of a vertical line is undefined.

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special Sophia's Festival Garden is divided into 12 equal sections she plant carrots in 8 of the sections write two fractions th

inn [45]

There are the the 2 fractions
8/12 and 2/3

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2 years ago

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

Trina uses mc025-1.jpg cup of sugar and mc025-2.jpg cup of flour in a recipe. How many cups of sugar would she need if she uses

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4 0

3 years ago

Read 2 more answers

Write an equation of the line containing the point (6,-4) and perpendicular to.the line y=-2x-3

igor_vitrenko [27]

Answer:

$y=\frac{1}{2}x-7$

Step-by-step explanation:

So we need to find an equation of a line that crosses the point (6,-4) and is perpendicular to y = -2x -3.

First, let's find the slope of the line we want to write. The line we want is perpendicular to y = -2x -3. Recall that if two lines are perpendicular to each other, their slopes are negative reciprocals of each other. What this means is that:

$m_1\cdot m_2=-1$

Plug -2 for one of the slopes.

$-2\cdot m_2=-1$

Divide by -2 to find the slope of our line.

$m_2=1/2$

Thus, our line needs to have a slope of 1/2.

Now, let's use the point-slope form. The point-slope form is given by:

$y-y_1=m(x-x_1)\\$

Plug in 1/2 for the slope m and let's let our point (6,-4) be x₁ and y₁. Thus:

$y-(-4)=\frac{1}{2}(x-6)\\$

Simplify and distribute:

$y+4=\frac{1}{2} x-3$

Subtract 4 from both sides:

$y=\frac{1}{2}x-7$

The above is the equation that passes the point (6,-4) and is perpendicular to y = -2x -3.

5 0

3 years ago

There are more answers please help

Dominik [7]

No you type the numbers press = and poof

3 0

3 years ago