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3 years ago

How do I find the slope of the line through (–9, –10) and (–2, –5)?

2 answers:

8 0

Finding a slope in a number line is easy just
Steps:
Identify two points on the line
Select one to be (x 1, y 1) and the other to be (x 2, y 2)
Use the slope the slope equation to calculate slope.
Thank you

storchak [24]3 years ago

4 0

Answer:
slope of line is 5/7

Explanation:
The slope of the line can be calculated using the following rule:
slope = $\frac{y2-y1}{x2-x1}$

The given points are:
(-9,-10) which represent (x1,y1)
(-2,-5) which represent (x2,y2)

Substitute with the points in the above equation to get the slope as follows:
slope = $\frac{-5-(-10)}{-2-(-9)}$ = 5/7

Hope this helps :)

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Express 11011 in base two

WITCHER [35]

Answer:

Step-by-step explanation:

Hello,

11011 in base 2 is

1 * 16 + 1 * 8 + 0 * 4 + 1 * 2 + 1 in base 10

which is 16 +8+2+1=27

Do not hesitate if you have any question

8 0

3 years ago

What is the domain of (1,2),(2,6),(3,10),(2,14),(1,0)

Bas_tet [7]

The set of x ordinates or {1,2,3}

5 0

3 years ago

Identify the axis of symmetry and vertex of f(x) = –2x2 –2x–1.

Leya [2.2K]

Given the quadratic equation: f(x) = -2x^2 - 2x - 1, the axis of symmetry can be obtained by finding the line that divides the function into two congruent or identical halves. Thus, it should pass through the vertex and is equal to the x-coordinate of the vertex.

Note that a quadratic equation in standard form: y = ax^2 + bx + c, has the vertex located at (h,k) where, h = -b/2a and k is determined by evaluating y at h. In this case, a = -2, b = -2, thus, h = -0.5, k = 0.5. Thus, the vertex is located at (-0.5, 0.5) and the axis of symmetry is at x = -0.5.

4 0

3 years ago

Read 2 more answers

Ten engineering schools in the United States were surveyed. The sample contained 250 electrical engineers, 80 being women; 175 c

steposvetlana [31]

Answer:

There is a significant difference between the two proportions.

Step-by-step explanation:

The (1 - α)% confidence interval for difference between population proportions is:

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

Compute the sample proportions as follows:

$\hat p_{1}=\frac{80}{250}=0.32\\\\\hat p_{2}=\frac{40}{175}=0.23$

The critical value of z for 90% confidence interval is:

$z_{0.10/2}=z_{0.05}=1.645$

Compute a 90% confidence interval for the difference between the proportions of women in these two fields of engineering as follows:

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

$=(0.32-0.23)\pm 1.645\times\sqrt{\frac{0.32(1-0.32)}{250}+\frac{0.23(1-0.23)}{175}}\\\\=0.09\pm 0.0714\\\\=(0.0186, 0.1614)\\\\\approx (0.02, 0.16)$

There will be no difference between the two proportions if the 90% confidence interval consists of 0.

But the 90% confidence interval does not consists of 0.

Thus, there is a significant difference between the two proportions.

4 0

3 years ago

What's the greatest common factors of 55 and 77?

evablogger [386]

The factors of 55 are 1, 5, 11, and 55 .

The factors of 77 are 1, 7, 11, and 77 .

The factors that are common to both numbers are 1 and 11 .

The greatest one is 11 .

You asked for the "greatest", so you only get one of them. If there were
more than one greatest, then you'd want to know which greatest was
greater than the other greatest.

6 0

3 years ago