Answer:
1/12
Step-by-step explanation:
<u>Needed information</u>

The sum of the probabilities of all outcomes must equal 1
<u>Solution</u>
We are told that the probability that the counter is <em>not</em> black is 3/4.
As the sum of the probabilities of all outcomes <u>must equal 1</u>, we can work out the probability that the counter <em>is </em>black by subtracting 3/4 from 1:


We are told that the probability that the counter is <em>not </em>white is 2/3.
As the sum of the probabilities of all outcomes <u>must equal 1</u>, we can work out the probability that the counter <em>is </em>white by subtracting 2/3 from 1:


We are told that there are black, white and grey counters in the bag. We also know that the sum of the probabilities of all outcomes must equal 1. Therefore, we can work out the probability the counter is grey by subtracting the probability the counter is black and the probability the counter is white from 1:

Answer:
300 percent change
Step-by-step explanation:
300 is 400 percent of 75.(75x4 is 300.) Therefore, the percent change is
400 - 100 = 300.
Since 3 neckties will be out from the
store, so you need to know how much is the cost of 3 ties.
$59.99 x 3 = $179.97 and divide it by two
because the costumer will only pay for 2
$179.97 / 2 = $89.99 is the new price
Mark up = 89.99 – 59.99 = $30.00
% mark up = [(89.99/59.99) -1] * 100
= 50%
<span> </span>
Answer: 9.46 grams
Step-by-step explanation:
Given: Number of muffins made in one batch = 1 dozen =12 ]
[ as 1 dozen = 12]
Also, in one batch the quantity of sugar =
pound
As there are 454 grams of sugar in a pound.
So, in one batch the quantity of sugar = 
i.e. in 12 muffins , there is 113.5 grams of sugar.
Then, in one muffin the quantity of sugar = (113.5 grams) ÷ 12
≈9.46 grams
Hence, there are 9.46 grams of sugar in 1 muffin.
We are given the function <span>f(x)=sqrt of (4sinx+2) and is asked to find the first derivative of the function when x is equal to zero.
</span><span>f(x)=sqrt of (4sinx+2)
f'(x) = 0.5 </span><span>(4sinx+2) ^ -0.5 * (4cosx)
</span>f'(0) = 0.5 <span>(4sin0+2) ^ -0.5 * (4cos0)
</span>f'(0) = 0.5 <span>(0+2) ^ -0.5 * (4*1)
</span>f'(x) = 0.5 (2) ^ -0.5 * (4)
f'(x) = -.1.65