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3 years ago

Plz help. First answer gets brainliest.

Mathematics

1 answer:

Sveta_85 [38]3 years ago

8 0

Answer: The mean is 3.5. The range is 7. The median is 3, and finally the mode is 4.

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Find the equation of a line that is perpendicular to y = 3x – 5 and passes through the point (1, -3).

Svetradugi [14.3K]

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

$\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \qquad y = \stackrel{\stackrel{m}{\downarrow }}{3}x-5$

well then therefore

$\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{3\implies \cfrac{3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}$

so we're really looking for the equation of a line with slope of -1/3 and that passes through (1, -3 )

$(\stackrel{x_1}{1}~,~\stackrel{y_1}{-3})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{-\cfrac{1}{3}}(x-\stackrel{x_1}{1})\implies y+3=-\cfrac{1}{3}x+\cfrac{1}{3} \\\\\\ y=-\cfrac{1}{3}x+\cfrac{1}{3}-3\implies y=-\cfrac{1}{3}x-\cfrac{8}{3}$

6 0

2 years ago

Assume equal likelihood for the birth of boys and girls. What is the probability that a four-child family chosen at random will

garik1379 [7]

Each child has a 50% chance to be a girl and 50%chance to be a boy so with 4 children the probability is
$\frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} = \frac{1}{16}$

7 0

3 years ago

Beth has $900 in the bank. Every time she rides the bus she spends $2. Write an inequality that Beth can use to see how many tim

Mekhanik [1.2K]

900-2*x>500
2x<900-500
2x<400
x<200
Answer:Beth can ride the bus less 200 times

5 0

3 years ago

Bozena is an ecologist who studies the change in the tiger population of Siberia over time. The relationship between the elapsed

klio [65]

Answer:

every 2 years

Step-by-step explanation:

since it is t/2 for the exponent - thas the answer on khan

6 0

2 years ago

Evaluate: 7( 14 - 8) - 6² 5 6 7 8 please help if possible 3

irakobra [83]

Answer:

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Step-by-step explanation:

Step 1: Define

Identify

7(14 - 8) - 6²

Step 2: Evaluate

Exponents: 7(14 - 8) - 36
(Parenthesis) Subtract: 7(6) - 36
Multiply: 42 - 36
Subtract: 6

4 0

3 years ago