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Montano1993 [528]

3 years ago

5

Describe and correct the error in the solution. (Be specific and explain as

1 answer:

sweet [91]3 years ago

6 0

The error occurred in step 2. You have to use the distributive property for the parenthesis. It is supposed to be 5p+15.

The correct solution is p>-13.

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There are 23 people in this class. what is the probability that at least 2 of the people in the class share the same birthday? s

BlackZzzverrR [31]

23/2 = 0.08
0.08 = 8/100 or 8%

4 0

3 years ago

How do I solve this?

Ivenika [448]

$\overline{XS}\cong\overline{YT}\Rightarrow 3m+7=4.2m+5\ \ \ |-7\\\\3m=4.2m-2\ \ \ \ |-4.2m\\\\-1.2m=-2\ \ \ \ |:(-1.2)\\\\m=\dfrac{2}{1.2}\\\\m=\dfrac{20}{12}\\\\m=\dfrac{5}{3}\to m=1\dfrac{2}{3}$

$\overline{YS}\cong\overline{XT}\Rightarrow3\dfrac{1}{2}r+2=2r+5\ \ \ \ |-2\\\\3\dfrac{1}{2}r=2r+3\ \ \ \ |-2r\\\\1\dfrac{1}{2}r=3\ \ \ |\cdot2\\\\3r=6\ \ \ \ |:3\\\\r=2$

7 0

3 years ago

Line segment NY has endpoints N(-11, 5) and Y(3,-3).

777dan777 [17]

Given:

Line segment NY has endpoints N(-11, 5) and Y(3,-3).

To find:

The equation of the perpendicular bisector of NY.

Solution:

Midpoint point of NY is

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$Midpoint=\left(\dfrac{-11+3}{2},\dfrac{5-3}{2}\right)$

$Midpoint=\left(\dfrac{-8}{2},\dfrac{2}{2}\right)$

$Midpoint=\left(-4,1\right)$

Slope of lines NY is

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{-3-5}{3-(-11)}$

$m=\dfrac{-8}{14}$

$m=\dfrac{-4}{7}$

Product of slopes of two perpendicular lines is -1. So,

$m_1\times \dfrac{-4}{7}=-1$

$m_1=\dfrac{7}{4}$

The perpendicular bisector of NY passes through (-4,1) with slope $\dfrac{7}{4}$ . So, the equation of perpendicular bisector of NY is

$y-y_1=m_1(x-x_1)$

$y-1=\dfrac{7}{4}(x-(-4))$

$y-1=\dfrac{7}{4}(x+4)$

$y-1=\dfrac{7}{4}x+7$

Add 1 on both sides.

$y=\dfrac{7}{4}x+8$

Therefore, the equation of perpendicular bisector of NY is $y=\dfrac{7}{4}x+8$ .

6 0

2 years ago

There are six multiple-choice questions on an exam, each with four possible answers. (a) Determine the number of possible answer

Lubov Fominskaja [6]

Answer:

$Possible\ Answers = 4096$

Step-by-step explanation:

Given

$Questions = 6$

$Options = 4$ each

Required

Determine the number of possible answers

<em>The first question has 4 possible answers</em>

<em>The second has 4 possible answers</em>

<em>The third has 4 possible answers</em>

<em>The fourth question has 4 possible answers</em>

<em>The fifth has 4 possible answers</em>

<em>The sixth question has 4 possible answers</em>

<em />

$Possible\ Answers = 4 * 4 * 4 * 4 * 4 * 4$

$Possible\ Answers = 4^6$

$Possible\ Answers = 4096$

8 0

3 years ago

I need to know these new coordinates

hammer [34]

P(-1, 1)
G(2,1)
R(1,-3)
S(-2,-3)

3 0

3 years ago