Answer:
the probability is 2/9
Step-by-step explanation:
Assuming the coins are randomly selected, the probability of pulling a dime first is the number of dimes (4) divided by the total number of coins (10).
p(dime first) = 4/10 = 2/5
Then, having drawn a dime, there are 9 coins left, of which 5 are nickels. The probability of randomly choosing a nickel is 5/9.
The joint probability of these two events occurring sequentially is the product of their probabilities:
p(dime then nickel) = (2/5)×(5/9) = 2/9
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<em>Alternate solution</em>
You can go at this another way. You can list all the pairs of coins that can be drawn. There are 90 of them: 10 first coins and, for each of those, 9 coins that can be chosen second. Of these 90 possibilities, there are 4 dimes that can be chosen first, and 5 nickels that can be chosen second, for a total of 20 possible dime-nickel choices out of the 90 total possible outcomes.
p(dime/nickel) = 20/90 = 2/9
Answer:
(b-3)(b+3)
Step-by-step explanation:
b^2+3b-3b-9
The number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.
<h3>What is of volume of rectangular prism?</h3>
Volume of rectangular prism is the amount of quantity, which is obtained in it in the 3 dimensional space.
Volume of a rectangular prism is the product of its width, height and length.

Here, (w) is the width of the base (l) is the length and (h) is the height of the rectangular prism.
A three-dimensional model of Lucia’s apartment is shown. The image is attached below for the apartment. The three section are there in the apartment. The volume of this apartment is,
![V=[(20\times12)+(20-9)\times16+(20\times20)]\times10\\V=8160\rm\; ft^3](https://tex.z-dn.net/?f=V%3D%5B%2820%5Ctimes12%29%2B%2820-9%29%5Ctimes16%2B%2820%5Ctimes20%29%5D%5Ctimes10%5C%5CV%3D8160%5Crm%5C%3B%20ft%5E3)
To cool the whole apartment, an air conditioner must provide 2.5 btus per cubic foot. To cool, the 8160 cubic foot apartment the btus needed are,

Hence, the number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.
Learn more about the volume of a rectangular prism here;
brainly.com/question/4016105
200!!!! because it’s 5x20 in each triangle and you divide by 2 so 5x20 is 100 and 100 divided by 2 is 50 and there are 4 squares so 50 x 4 and you get 200 hope that helped!!
Step-by-step explanation:
here ,

now,
cosec(2-45°)=2
or,
1/sin(2-45°) =2
or,
1/sin2cos45°-cos2sin45=2
or,

or,
sorry I have that much qualifications to work on this question and hoping this much will make bit easy for you to solve it further