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alexgriva [62]
3 years ago
9

If one card is randomly chosen from a standard deck, what is the probability that a black 7 is chosen? A. 2/52 B. 4/52 C. 7/52 D

. 26/52
Mathematics
2 answers:
aksik [14]3 years ago
7 0
The answer to your question is A
netineya [11]3 years ago
5 0

|\Omega|=52\\ |A|=2\\\\ P(A)=\dfrac{2}{52}\Rightarrow \text{A}

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Find the equation of a circle with a center at (7,2) and a point on the circle at (2,5)?
monitta

Answer:

(x-7)^2+(y-2)^2=34

Step-by-step explanation:

We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).

First, recall that the equation of a circle is given by:

(x-h)^2+(y-k)^2=r^2

Where (<em>h, k</em>) is the center and <em>r</em> is the radius.

Since our center is at (7, 2), <em>h</em> = 7 and <em>k</em> = 2. Substitute:

(x-7)^2+(y-2)^2=r^2

Next, the since a point on the circle is (2, 5), <em>y</em> = 5 when <em>x</em> = 2. Substitute:

(2-7)^2+(5-2)^2=r^2

Solve for <em>r: </em>

<em />(-5)^2+(3)^2=r^2<em />

Simplify. Thus:

25+9=r^2

Finally, add:

r^2=34

We don't need to take the square root of both sides, as we will have the square it again anyways.

Therefore, our equation is:

(x-7)^2+(y-2)^2=34

4 0
2 years ago
Solve for x. x - 2(2 - 3/2 x) = 2(4 - x) + 1
STALIN [3.7K]

Answer:

x = 13/6

Step-by-step explanation:

We are the following expression;

       x - 2(2 - (3/2)*x) = 2(4 - x) + 1

       x - (4 - 3*x) = 8 - 2*x + 1

       x - 4 + 3*x = 8 - 2*x + 1

         4*x + 2*x = 9 + 4

             6*x = 13

              x = 13/6

8 0
3 years ago
Tewanda read a 2000 word news article in 8 minutes. how fast did she read the article
nydimaria [60]
The answer is going to be 250

6 0
3 years ago
The number of bacteria, B, in a refrigerated food is given by the function b(t) = 15t2 - 60t + 125, where t is the temperature o
Nimfa-mama [501]

Answer: b(t(h))=135h^2+180h+125


Step-by-step explanation:

Given: The number of bacteria, B, in a refrigerated food is given by the function  b(t)=15t^2-60t+125 , where t is the temperature of food in degrees Fahrenheit.

The function t(h)=3h+4 gives the temperature, t, of the food h hours after being removed from the refrigerator.

Now, the number bacteria in the food in h hours is given by:-

b(t(h))=15(3h+4)^2-60(3h+4)+125\\=15(9h^2+16+24h)-180h-240+125\\=135h^2+240+360h-180h-240+125\\=135h^2+180h+125

So, The number bacteria in the food in h hours is given by:

b(t(h))=135h^2+180h+125


4 0
3 years ago
How many minutes has Mary walked when she reaches The farthest point from her house
tigry1 [53]
The answer would be 10 minutes. If you look at the highest point from distance and you go down to the time it lands on 10.
I hope this helps love! :)
5 0
3 years ago
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