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3 years ago

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It took Lisa 2 hours to read the first 100 pages of a book. Then she read the last 44 pages in 1 hour. How many pages did she re

ad per minute for the whole book? Please answer fast!!!!

1 answer:

ra1l [238]3 years ago

8 0

The book has 100+44=144 pages.
She spent 2+1=3 hours on reading = 3*60=180 minutes
The "speed" will be 144/180 = 0.8 pages per minute

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The perimeter of a triangle is 80. side one is four times side two. side three is ten less than side one. what are the 3 sides

Free_Kalibri [48]

Let say that:
side one = A
side two = B
side three = C
And also, A+B+C = 80

Then, from that information we can get..
A=4B ; C=A-10... We can get the value of A, but we have to modified some equation.

Let, B=1/4 A.... (eq.1)
C=A-10.... (eq.2)
If we adding eq.1 and eq.2 we get:
B+C = 2A-39/4

Therefore,
A= 80 - (B+C)
A = 80 - 2A + 39/4
3A = 80 + 39/4
3A = 359/4 (Dividing both sides with 3)
A = 359/12 = 29.92
B = 1/4 A = 359/48 = 7.48
C = 359/12 - 10 = 19.92

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3 years ago

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ivolga24 [154]

A = (4, 5) B = (-2, 1)

<u>Midpoint of A and B</u>

$C=(X_M, Y_M) = \bigg(\dfrac{X_A+X_B}{2}, \dfrac{Y_A+Y_B}{2}\bigg)\\\\. \qquad \qquad \qquad =\bigg(\dfrac{4-2}{2},\dfrac{5+1}{2}\bigg)\\\\. \qquad \qquad \qquad =\bigg(\dfrac{2}{2},\dfrac{6}{2}\bigg)\\\\. \qquad \qquad \qquad =(1, 3)$

<u>Distance from A to B</u>

$d_{AB}=\sqrt{(X_B-X_A)^2+(Y_B-Y_A)^2}\\\\.\qquad =\sqrt{(-2-4)^2+(1-5)^2}\\\\.\qquad =\sqrt{(-6)^2+(-4)^2}\\\\.\qquad =\sqrt{36+16}\\\\.\qquad =\sqrt{52}\\\\.\qquad =7.2$

<u>Equation of line through AB</u>

$m_{AB}=\dfrac{Y_B-Y_A}{X_B-X_A}\\\\.\qquad =\dfrac{1-5}{-2-4}\\\\.\qquad =\dfrac{-4}{-6}\\\\.\qquad =\dfrac{2}{3}$

$Y-Y_A=m_{AB}(X-X_A)\\\\Y-5=\dfrac{2}{3}(X-4)\\\\Y-5=\dfrac{2}{3}X-\dfrac{8}{3}\\\\Y=\dfrac{2}{3}X+\dfrac{7}{3}$

<u>Line parallel to AB (same slope as AB) through point (3, -5)</u>

$Y-Y_A=m_{AB}(X-X_A)\\\\Y+5=\dfrac{2}{3}(X-3)\\\\Y+5=\dfrac{2}{3}X-2\\\\Y=\dfrac{2}{3}X-7$

AB is <u>perpendicular</u> to A'B' so slopes are <u>opposite reciprocals</u>

A' = (3, 0)

B' = (-1, 6)

C = (1, 3)

C' = (7, 3)

D = (5, 3)

D' = (5, 1)

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3 years ago

In 2000, the total amount of a certain bird population (species of bird of paradise) was recorded at 47,000 in a city. In 2005,

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Answer:

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Help pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

pishuonlain [190]

Answer:

$50 {}^{2} = 30 {}^{2} + x {}^{2}$

$x { }^{2} = 1600$

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b- no because the TV is wider than the cabinet

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3 years ago

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The Coast Starlight Amtrak train runs from Seattle to Los Angeles. The mean travel time from one stop to the next on the Coast S

Goshia [24]

Solution :

a).

Given :

R = 0.636, $S_x = 99$ , $S_y=113, M_x=108, M_y=129$

Here R = correlation between the two variables

$S_x , S_y$ = sample standard deviations of the distance and travel time between the two train stops, respectively.

$M_x, M_y$ = means of the distance and travel between two train stops respectively.

The slope of the regression line is given by :

Regression line, $b_1$ $=R \times \left(\frac{S_y}{S_x}\right)$

$=0.636 \times \left(\frac{113}{99}\right)$

= 0.726

Therefore, the slope of the regression line $b_1$ is 0.726

The equation of the regression line is given by :

$\overline {y} = b_0+b_1 \overline x$

The regression line also has to pass through the two means. That is, it has to pass through points (108, 129). Substituting these values in the equation of the regression line, we can get the value of the line y-intercept.

The y-intercept of the regression line $b_0$ is given by :

$b_0=M_y-(b_1 \times M_x)$

= 129 - (0.726 x 108)

= 50.592

Therefore, the equation of the line is :

Travel time = 20.592 + 0.726 x distance

b). $\text{ The slope of the line predicts that it will require 0.726 minutes}$ for each additional mile travelled.

The intercept of the line, $b_0$ = 0.529 can be seen as the time when the distance travelled is zero. It does not make much sense in this context because it seems we have travelled zero distance in 50.529 minutes, but we could interpret it as that the wait time after which we start travelling and calculating the distance travelled and the additional time required per mile. Or we could view the intercept value as the time it takes to walk to the train station before we board the train. So this is a fixed quantity that will be added to travel time. It all depends on the interpretation.

c). $R^2=0.404$

This means that the model accounts for around 40.4% variation in the travel time.

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3 years ago