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solmaris [256]
3 years ago
13

The functions q and r are defined as follows.

Mathematics
1 answer:
lisov135 [29]3 years ago
4 0

Answer:

eat

Step-by-step explanation:

eat

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Urgent. There are 12 coloured counters in a bag. The counters are black, white or grey A counter is chosen at random. The probab
Nastasia [14]

Answer:

1/12

Step-by-step explanation:

<u>Needed information</u>

\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}

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:

\sf P(counter\:not\:black)=\dfrac34

\implies \sf P(counter\:black)=1-\dfrac34=\dfrac14

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:

\sf P(counter\:not\:white)=\dfrac23

\implies \sf P(counter\:white)=1-\dfrac23=\dfrac13

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:

\begin{aligned}\sf P(counter\:grey) & = \sf1-P(counter\:black)-P(counter\:white)\\\\ & =\sf 1-\dfrac14-\dfrac13\\\\ & = \sf \dfrac{12}{12}-\dfrac{3}{12}-\dfrac{4}{12}\\\\ & = \sf \dfrac{12-3-4}{12}\\\\ & = \sf \dfrac{5}{12}\end{aligned}

7 0
2 years ago
How much is the percent change if the price was $75 and now it is $300?
ale4655 [162]

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.

6 0
3 years ago
a clothing store office very often various promotions to attract customers but wants to maintain the same amount of profit to do
vova2212 [387]

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>

4 0
3 years ago
A one batch recipe of muffins makes a dozen muffins. it requires 2 eggs, two
IgorC [24]

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 = \dfrac14 pound

As there are 454 grams of sugar in a pound.

So,  in one batch the quantity of sugar = \dfrac14\times454=113.5\ grams

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.

4 0
3 years ago
If f(x)=sqrt of (4sinx+2) then f'(0)=
Fantom [35]
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
7 0
3 years ago
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