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3 years ago

There are 45 red tiles,25 blue tiles and 30 green tiles in a bag.

1 answer:

7 0

This is a question of probability.
Probability of picking any color= number of tiles with that color/total number of tiles
Total=45+25+30=100
P(red tile)=(45/100)x60=0.45x60=27
P(blue tile)=(25/100)x60=0.25x60=15
P(green tiles)=(30/100)x60=0.3x60=18

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sweet-ann [11.9K]

Answer:

The correct option is;

The situation shows correlation without causation

Step-by-step explanation:

The given data are;

Weight y ${}$ Miles Per Gallon

42 ${}$ 18

36 ${}$ 12

30 ${}$ 6

. ${}$ x

24 ${}$ 0

The first difference of the data = 42 - 36 = 36 - 30 = 30 - 24 = 6

18 - 12 = 12 - 6 = 6 - 0 = 6

The first difference of the data is constant and equal to 6

Therefore, the graph is a straight line graph with y-intercept = 24 and slope given by the rate of change of the weight to the miles per gallon of fuel consumption as follows;

The rate of change of the weight to the miles per gallon of fuel consumption is given as follows;

(42 - 24)/(18 - 0) = 1

Therefore, the points of the data fit into the straight line and the data of the situation shows correlation

In order to show causation, and to rule out other possible causes for the rise in MPG, a separate experiment will be required whereby the cause for the rise in MPG can be determined.

3 0

3 years ago

Read 2 more answers

If 2500 is to be divided among Ravi, Raju and Roy, so that Ravi gets two parts, Raju has

fenix001 [56]

Answer:

The money each will get are 500 to Ravi , 750 to Raju and 1250 to Ravi. And there percentages are Ravi's 20%, Raju's 30% and Roy's 50%.

Step-by-step explanation:

Given:

2500 is to be divided among Ravi, Raju and Roy, so that Ravi gets two parts, Raju has three parts and Roy five parts.

Now, to find the money each will get and the percentages of it.

Let the price of one part be $x.$

The price of two parts be $2x.$

The price of three parts be $3x.$

And the price of five parts be $5x.$

According to question:

$2x+3x+5x=2500.$

$10x=2500$

Dividing both sides by 10 we get:

$x=250.$

Ravi gets two parts = $2x=2\times 250=500.$

Raju gets three parts = $3x=3\times 250=750.$

Roy gets five parts = $5x=5\times 250=1250.$

Now, the percentage of the money they get:

Percentage of Ravi's share:

$\frac{500}{2500} \times 100\\=\frac{50000}{2500} \\=20\%.$

Percentage of Raju's share:

$\frac{750}{2500} \times 100\\\\=30\%.$

Percentage of Roy's share:

$\frac{1250}{2500} \times 100\\\\=50\%.$

Therefore, the money each will get are 500 to Ravi , 750 to Raju and 1250 to Ravi. And there percentages are Ravi's 20%, Raju's 30% and Roy's 50%.

4 0

3 years ago

What is the answer to this 1.84 × 25.1

kykrilka [37]

The answer to 1.84 x 25.1 is 46.184. Hope this helped.

4 0

3 years ago

Write an equation of a line (in standard form) that has the same slope as the line 3x-5y=7 and the same y-intercept as the line

Vanyuwa [196]

Answer:

$3x-5y=-20$

Step-by-step explanation:

We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have two standard form equations which we will get a slope and a y-intercept from. We will convert each to slope intercept form to get the information. We will then write a new slope-intercept equation and convert to standard form.

3x-5y=7 has the same slope as the line. Let's convert.

$3x-5y=7\\3x-3x-5y=7-3x\\-5y=7-3x\\\frac{-5y}{-5}=\frac{7-3x}{-5} \\$

$y=\frac{3}{5}x -\frac{7}{5}$

The slope is $m=\frac{3}{5}$ .

2y-9x=8 has the same y-intercept as the line. Let's convert.

$2y-9x=8\\2y-9x+9x=8+9x\\2y=8+9x\\\frac{2y}{2}=\frac{8+9x}{2}$

$y=\frac{8}{2}+\frac{9x}{2} \\y=4+\frac{9}{2}x$

The y-intercept is 4.

We take $m=\frac{3}{5}$ and b=4 and substitute into y=mx+b.

$y=\frac{3}{5}x+4$

We now convert to standard form.

$-\frac{3}{5}x+y=\frac{3}{5}x-\frac{3}{5}x+4\\-\frac{3}{5}x+y=4$

For standard form we need the coefficients of x and y to be not zero or fractions. We need integers but the coefficient of x cannot be negative. So we multiply the entire equation by -5 to clear the denominators.

$-5(-\frac{3}{5}x+y=4)\\3x-5y=-20$

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3 years ago

Solve 5/3 x is less than or equal to 10

butalik [34]

X is less than or equal to 6

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3 years ago