Ask question

Ask question

All categories

2 years ago

7

David and Mark are marking exam papers. Each set takes David 24 minutes and Mark 1 hour. Express the times David and Mark take a

s a ratio. Give your answer in its simplest form.

1 answer:

sertanlavr [38]2 years ago

5 0

Answer:

2:5

Step-by-step explanation:

You might be interested in

The time it takes to transmit a file always depends on the file size. Suppose you transmitted 30 files, with the average size of

Ostrovityanka [42]

Answer:

Y = 0.009042 + 0.0002457X

Y = 0.1073 seconds

Step-by-step explanation:

In the given problem we have two variables: the transmission time and average size of file.

Y = transmission time

X = average file size

The linear regression model is given by

Y = a + bX

The slope b is given by

b = correlation coefficient*(SDy/SDx)

Where SDy is the standard deviation of average transmittance time and SDx is the standard deviation of average file size.

b = 0.86(0.01/35)

b = 0.0002457

The y-intercept a is given by

a = y - bx

a = 0.04 - (0.0002457)126

a = 0.04 - 0.030958

a = 0.009042

Therefore, the linear regression model is

Y = 0.009042 + 0.0002457X

Predict the time it will take to transmit a 400 Kbyte file.

Substitute X = 400 in the regression model

Y = 0.009042 + 0.0002457(400)

Y = 0.009042 + 0.09828

Y = 0.1073 seconds

Therefore, the predicted time to transmit a 400 Kbyte file is 0.1073 seconds.

8 0

2 years ago

The area of ABED is 49 square units. Given AGequals9 units and ACequals10 units, what fraction of the area of ACIG is represent

Mrac [35]

Answer:

The fraction of the area of ACIG represented by the shaped region is 7/18

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the square ABED find the length side of the square

we know that

AB=BE=ED=AD

The area of s square is

$A=b^{2}$

where b is the length side of the square

we have

$A=49\ units^2$

substitute

$49=b^{2}$

$b=7\ units$

therefore

$AB=BE=ED=AD=7\ units$

step 2

Find the area of ACIG

The area of rectangle ACIG is equal to

$A=(AC)(AG)$

substitute the given values

$A=(9)(10)=90\ units^2$

step 3

Find the area of shaded rectangle DEHG

The area of rectangle DEHG is equal to

$A=(DE)(DG)$

we have $DE=7\ units$

$DG=AG-AD=9-7=2\ units$

substitute $A=(7)(2)=14\ units^2$

step 4

Find the area of shaded rectangle BCFE

The area of rectangle BCFE is equal to

$A=(EF)(CF)$

we have

$EF=AC-AB=10-7=3\ units$

$CF=BE=7\ units$

substitute

$A=(3)(7)=21\ units^2$

step 5

sum the shaded areas

$14+21=35\ units^2$

step 6

Divide the area of of the shaded region by the area of ACIG

$\frac{35}{90}$

Simplify

Divide by 5 both numerator and denominator

$\frac{7}{18}$

therefore

The fraction of the area of ACIG represented by the shaped region is 7/18

5 0

2 years ago

Two cars are on the same straight road. Car A moves east at 55 mph and sounds its horn at 625 Hz. Rank from highest to lowest th

Fantom [35]

Answer:

1. Car B is moving east at 70MPh and is in from of car A

2.car B is moving west at 70 mph and is behind car A

Step-by-step explanation:

Use the cardinal point system to evaluate the problem first

8 0

2 years ago

Given line has the equation 2X +12 Y equals negative one what is the equation in slope intercept form of the line that is perpen

Flauer [41]

Answer:

y = 12x + 9 is the answer.

Step-by-step explanation:

Since the given equation is 2x + 12 y = -1

12y = -2x -1

$y=-\frac{1}{12}(2x+1)$

$y=-\frac{1}{12}x-\frac{1}{12}$

Now this line is in the form of y = mx + c

Here m = slope = -1/12

We have to calculate the slope of another line perpendicular to this line and passing through (0, 9).

Let the equation is y = m' + c'

We know m×m' = -1 for two perpendicular lines

$-(\frac{1}{12})(m')=-1$

m' = 12

Therefore the equation will be

y = 12x + c'

Since this line passes through ( 0, 9)

9 = 12×0 + c'

c' = 9

Now the equation will be

y = 12x + 9

This is the answer.

3 0

2 years ago

Read 2 more answers

Recipe ingredients remain in a constant ratio no matter how many servings are prepared. Which table shows a possible

Tpy6a [65]

Answer:

Table N 4

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $y/x=k$ or $y=kx$

<em>Verify the table 4</em>

For x=1, y=2

so

y/x=2/1=2

For x=2, y=4

so

y/x=4/2=2

For x=3, y=6

so

y/x=6/3=2

therefore

The constant of proportionality k is equal to 2 and the equation is equal to

y=2x

The table 4 represent a direct variation, therefore is a possible ratio table for ingredients X and Y

6 0

2 years ago

Read 2 more answers