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3 years ago

Hi All,

Mathematics

1 answer:

tangare [24]3 years ago

8 0

Answer:

a) modal number of teachers in a car is 3

b) median number of teachers in a car is 3

c) mean number of teachers in a car is 2.5

Step-by-step explanation:

modal number is 3 because that is the highest frequency of numbers of cars
median number is 3 because it is the middle number when you expand the frequency table.
mean number is 2.5 because that is the approximate average of all the numbers.

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Confused on how to write the equation due to the graph having a point at (1,2).

kari74 [83]

Answer:

The line passes through (1,2) and (4,4)

The equation,

$\frac{y - y1}{x - x1} = \frac{y2 - y1}{x2 - x1}$

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

$3(y - 2) = 2(x - 1)$

$= > 3y - 6 = 2x - 2$

$= > 2x - 3y - 2 + 6 = 0$

$= > 2x - 3y + 4 = 0$

5 0

3 years ago

Contestants in a dance-a-thon rest for the same amount of time evey hoir. A couple rests for 25 minutew in 5 hours. How long did

Semenov [28]

If each couple rests for $k$ minutes every hour, the time spent resting, $r$ , after $h$ hours is given by

$r = kh$

We know that a couple spent 25 minutes resting in 5 hour. So, the rate is

$25 = 5k \iff k = \dfrac{25}{5}=5$

So, every couple rests 5 minutes per hour.

This means that, after 8 hours, the couples rest

$r = 5\cdot 8 = 40$

minutes.

4 0

3 years ago

write the slope intercept equation. the graph of f passes through (-6,4) and is perpendicular to the line that has an x-intercep

Nimfa-mama [501]

Answer:

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

Step-by-step explanation:

The slope of the line that has an x intercept of (2,0) and y-intercept of (0,-6) is:

Slope(s) = Change in y ÷ change in x

s = $\frac{0 - -6}{2 - 0}$ = 3

The slope of the perpendicular line to this line with slope of 3 has to have a slope of -1 ÷ 3 = $-\frac{1}{3}$

Reason: The product of slopes of lines perpendicular to each other have to be -1

So the slope of the perpendicular line that passes through (-6,4) is $-\frac{1}{3}$

As mentioned earlier, we derive a slope of a line by dividing the change in y by the change in x

Taking another point (x,y) on the line,

$-\frac{1}{3}$ = $\frac{y - 4}{x - -6}$

$-\frac{1}{3}$ = $\frac{y - 4}{x + 6}$

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

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

5 0

3 years ago

Rita ran 5 miles in 48 minutes what was her time per mile

Free_Kalibri [48]

9.60 minutes per mile

8 0

3 years ago

Read 2 more answers

A number is between -2 and -10. What is the least possible integer value of this number

astraxan [27]

-9, it is between -2 and -10 and it is the least possible integer

6 0

3 years ago