All categories

2 years ago

There are only blue cubes, yellow cubes and green cubes in a bag.

1 answer:

3 0

Let the yellow cubes be x

yellow = x
blue = 2x // Blue cubes is twice of yellow
Green = 8x // Green is four times of blue

Ratio:
Yellow : Blue : Green
1 : 2 : 8

P(Yellow) = 1/11

-----------------------------------------------------------------------------
Answer: The probability of getting a yellow cube is 1/11.
-----------------------------------------------------------------------------

You might be interested in

1011+111 in binary form

Ann [662]

Answer:

10010

Step-by-step explanation:

$1011=1(2)^3+0(2)^2+1(2)^1+1(2)^0$

$111=1(2)^2+1(2)^1+1(2)^0$

So $1011+111$ gives us:

$1(2)^3+0(2)^2+1(2)^1+1(2)^0$

$+$

$1(2)^2+1(2)^1+1(2)^0$

-----------------------------------------------------

Combine like terms:

$1(2)^3+(0+1)(2)^2+(1+1)(2)^1+(1+1)(2)^0$

$1(2)^3+1(2)^2+(2)(2)^1+(2)(2)^0$

We aren't allowed to have a coefficient bigger than 1.

I'm going to replace $2^0$ with 1 and $2$ with $(2)^1$ :

$1(2)^3+1(2)^2+(2)^2+(2)^1(1)$

I want a $2^0$ number:

$1(2)^3+1(2)^2+1(2)^2+1(2)^1+0(2)^0$

Combine like terms:

$1(2)^3+2(2)^2+1(2)^1+0(2)^0$

$2(2)^2=2^3$ :

$1(2)^3+2^3+1(2)^1+0(2)^0$

Combine like terms:

$2(2)^3+1(2)^1+0(2)^0$

We can rewrite the first term by law of exponents:

$2^4+1(2)^1+0(2)^0$

$1(2)^4+1(2)^1+0(2)^0$

So the binary form is:

$10010$

Maybe you like this way more:

Keep in mind 1+1=10 and that 1+1+1=11:

Setup:

1 0 1 1

+ 1 1 1

------------------------------

(1) (1) (1)

1 0 1 1

+ 1 1 1

------------------------------

1 0 0 1 0

I had to do some carry over with my 1+1=10 and 1+1+1=11.

8 0

2 years ago

What is the equation of the line that passes through (–2, 3) and is parallel to 2x + 3y = 6?

Zinaida [17]

2x + 3y = 6
3y = - 2x + 6
y = -2/3x + 2....slope here is -2/3
A parallel line will have the same slope

y = mx + b
slope(m) = - 2/3
(-2,3)...x = -2 and y = 3
now we sub, we r looking for b, the y intercept
3 = -2/3(-2) + b
3 = 4/3 + b
3 - 4/3 = b
9/3 - 4/3 = b
5/3 = b

ur equation is : y = -2/3x + 5/3 (slope intercept form)

y = -2/3x + 5/3
2/3x + y = 5/3
2x + 3y = 5 (standard form)

7 0

2 years ago

Read 2 more answers

Two numbers 60 and n have LCM of 420. If n is a multiple of 6 less than 90,find the possible value of n

Ber [7]

Lcm of 60 and n = 420
Stated: n <90 and a multiple of 6

420/60 = 7 thus n must be a multiple of 7
Therefore n =42 or 84

3 0

2 years ago

H=2.9L+78.1<br> About how tall would the male have been if the length of the humerus measured 39 cm?

dalvyx [7]

Answer:H=191.2

Step-by-step explanation:

H=2.9(39)+78.1

H=113.1+78.1

H=191.2 cm

3 0

3 years ago

3. Which graph indicates that one of the runners started 10 meters ahead of the other?

KATRIN_1 [288]

Answer:

graph A

Step-by-step explanation:

4 0

2 years ago