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Scilla [17]
2 years ago
8

Aysha has 40 cubes in a bag.

Mathematics
1 answer:
marissa [1.9K]2 years ago
8 0

Given:

Total number of cubes = 40

Red cubes = 18

Blue cubes = 13

Yellow cubes = 9

Aysha adds some more red cubes into the bag.

The probability now that she will take a red cube is 0.5.

To find:

The probability that she will take a yellow cube.

Solution:

Let Aysha adds x red cubes into the bag. Then,

Number of total cubes = 40+x

Number of red cubes = 18+x

Probability of getting a red cube is:

P(Red)=\dfrac{18+x}{40+x}

The probability now that she will take a red cube is 0.5. So,

\dfrac{18+x}{40+x}=0.5

18+x=0.5(40+x)

18+x=20+0.5x

x-0.5x=20-18

0.5x=2

Divide both sides by 0.5.

x=\dfrac{2}{0.5}

x=4

It means Aysha adds 4 more red cubes into the bag.

Now, the total number of cubes int he bag is:

40+4=44

Probability of getting a yellow cube is:

P(Yellow)=\dfrac{\text{Number of yellow cubes}}{\text{Total number of cubes}}

P(Yellow)=\dfrac{9}{44}

Therefore, the required probability is P(Yellow)=\dfrac{9}{44}.

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A line passes through the points(-9,-9) and (-6,-6)<br> Fine the slope of the line
fgiga [73]

Answer:

Slope of the line = 1

Step-by-step explanation:

A line with two points, we are asked to find the slope

We are using the formula

m = (y_2 - y_1) /( x_2 - x_1)

We are provided with some points

( -9 , -9) ( -6 , -6)

x_1 = -9

y_1 = -9

x_2 = -6

y_2 = -6

Insert the values into the equation

m = (y_2 - y_1) / (x_2 - x_1)

m = ( -6 - (-9)) / ( -6 - (-9))

Hint: - * - = +

m =( -6 + 9) / ( -6 + 9)

= 3 / 3

= 1

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4 0
2 years ago
how far would a 4.0 cm tall object be located from a reflecting surface with a focal lenght that is equal to 5 cm if it is to cr
katrin [286]

Answer:

HERE IS YOUR ANSWER

Step-by-step explanation:

Use the mirror equation:

1/di + 1/do = 1/f

where di = -10 cm and f = +15 cm. (Note that di is negative if the image is virtual.)

Substitute and solve for do.

1/do + 1/(-10 cm) = 1/(15 cm)

1/do = 1/(15 cm) - 1/(-10 cm) = 5/(30 cm)

do = 6 cm

Hope it helps you

Regards,

Rachana

5 0
3 years ago
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