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The scatter plot shows the study times and test scores for a number of students. How long did the person who scored 81 study?

Free_Kalibri [48]

Answer: Option A

50 minutes

Step-by-step explanation:

Observe in the diagram that the vertical axis represents the score obtained and the horizontal axis represents the study time.

To find out how many hours the person with a score of 81 studied, locate the point that is at a vertical distance of 81.

Now draw a vertical line from this point to the horizontal axis. Note that the vertical line traced intercepts the vertical axis at x= 50

Then the person who got a score of 81 studied 50 minutes

The answer is the option A

6 0

3 years ago

The length of a rectangle is 5 meters less than twice the width. If the area of the rectangle is 273 meters, find the dimensions

AleksandrR [38]

The length of the rectangle = 16 meters

The width of the rectangle = 10.5 meters

Step-by-step explanation:

Given that,

The Area of the rectangle is 273.

Step 1 :

Let, the width of the rectangle be 'x'

The length of the rectangle is 2x - 5

Step 2 :

Area of the rectangle = length $\times$ width

273 = (2x - 5) x

273 = 2x^2 - 5x

Step 3 :

The equation formed is 2x^2 - 5x -273 = 0

a= coefficient of x^2 = 2

b= coefficient of x = -5

c = constant = -273

Find the roots of the equation, to find the width.

Step 4 :

Find the roots using factorizing method,

ac = 2 $\times$ -273 = -546 and b= -5

Factorizing -546 as -26 $\times$ 21

The product of -26 $\times$ 21 = -546

The sum of -26 + 21 = -5

Step 5 :

The roots of the equation 2x^2 - 5x -273 = 0 are x= -26/2 and x= 21/2

The values of x are x= -13 and x= 10.5

Since the width cannot be a negative value, neglect x= -13

Step 6 :

Therefore,

The width of the rectangle = 10.5 meters

The length of the rectangle = 2x-5

= 2(10.5) - 5

= 21 - 5

length = 16 meters

5 0

3 years ago

The area of a trapezoid is 33 square meters. one base is 4 meters long and the other base is 7 meters. find the height of the tr

In-s [12.5K]

h=6
A=((a=b)/2)h
33=((4+7)/2)h
33=(11/2)h
33=5.5h
6=h

7 0

3 years ago

Can someone help me please will give brainlist

nadya68 [22]

Answer:

A) it converges

B) 1998.047

C) 2000

d) The sum is getting smaller and smaller

Step-by-step explanation:

Formula: a_n+a_1*r^(r-1)

(1000*((0.5^10)-1))/(0.5-1)=1998.047

(1000*((0.5^30)-1))/(0.5-1)=2000

8 0

2 years ago

Someone help me please!!!

stiv31 [10]

Answer:

D

Step-by-step explanation:

8 0

3 years ago