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levacccp [35]
2 years ago
15

What is the rate of change for these numbers?

Mathematics
1 answer:
Snowcat [4.5K]2 years ago
8 0
Wouldn't it be -1 (minus one)? 12 - 1 = 11 and 9 - 1 = 8.
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There are 6 red marbles 4 blue marbles to yellow marbles. Sabrina picks 2 marbles without putting the first one back what is the
Yanka [14]

Answer:

P = 3/11

Step-by-step explanation:

There are:

6 red marbles

4 blue marbles

2 yellow marbles.

So there are a total of 12 marbles in the bag, such that each one has the same probability of being randomly picked.

We want to find the probability that the first pick is not yellow (so it can be either blue or red), and the second pick is a blue marble.

Now there are two cases.

The first marble is red and the second blue

the first marble is blue and the second blue

We need to find the probability in each case.

The probability that the first marble is red is equal to the quotient between the number of red marbles (6) and the total number of marbles (12)

p = 6/12

Now, for the second draw, we need a blue marble, the probability in this case is the quotient between the number of blue marbles (4) and the total number of marbles in the bag (now there are 11, because one is already taken)

q = 4/11

The joint probability is equal to the product of the individual probabilities, then:

P₁ = p*q = (6/12)*(4/11) = 2/11

And for the other case, we draw two blue marbles:

For the first draw, the probability is:

p = 4/12

And for the second draw, now there are 3 blue marbles and 11 total marbles, then the probability is:

q = 3/11

The joint probability is:

P₂ = (4/12)*(3/11) = 1/11

The total probability is then:

P = P₁ + P₂ = 2/11 + 1/11 = 3/11

4 0
3 years ago
Caitlin makes candles and sells them in her online shop. Tall candles cost $8 each and short candles cost $5 each. last month, s
snow_tiger [21]

Answer:

tall candles = 39

Short candles = 52

Step-by-step explanation:

let tall candles be x

and short candles be y

No. Of candles sold = x + y =91

Money made from candles will be equal to = 8x + 5y = $572

These both are simultaneous linear equations.

x + y =91 ( multiply by 5)

5x + 5y = 455

8x + 5y = $572

Subtract them:

-3x = -117

x = -117/3

x = 39

put value of x in

x + y = 91

39 + y = 91

y = 91 - 39

y = 52

x shows tall candles so they are 39

y shows short candles so they are 52

3 0
2 years ago
How many times does 10 go into 10000
vichka [17]
<span><u><em>The correct answer is: </em></u>
1000.

<u><em>Explanation</em></u><span><u><em>: </em></u>
We divide to find the answer to this: </span></span>\frac{10000}{10}<span><span>. When we are dividing by 10, we can move the decimal to the left one place; doing this gives us 1000.</span></span>
6 0
3 years ago
Is 84 - 74 even or odd​
quester [9]

Answer:

even

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
If the point (x,square root 3/2) is on the unit circle, what. is x?
galina1969 [7]

Answer:

x=\pm\frac{1}{2}

Step-by-step explanation:

On a unit circle, (x,y)=(\cos\theta,\sin\theta), so \sin\theta=\frac{\sqrt{3}}{2} in this case. If you look at the attached circle, the only time that the y-coordinate is \frac{\sqrt{3}}{2} is when x=-\frac{1}{2} and x=\frac{1}{2}, which correspond to angles of \theta=\frac{2\pi}{3} and \theta=\frac{\pi}{3} respectively

3 0
2 years ago
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