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anygoal [31]
3 years ago
12

One card is randomly selected from a deck of cards. Determine the probability that the card selected is an ace

Mathematics
1 answer:
Nutka1998 [239]3 years ago
4 0

Answer:

1/13

Step-by-step explanation:

If there are 52 cards and four aces

4/52=1/13

Meaning that the probability of you drawing an ace is 1/13

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Solve the following:<br> a. 4x^2 + 5x + 3 = 2x^2 − 3x<br> b. c^2 − 14 = 5c
Jet001 [13]

Answer:

(a) x = -0.418 , -3.581

(B) c = 6.855, -1.855

Step-by-step explanation:

(A) We have given equation 4x^2+5x+3=2x^2-3x

2x^2+8x+3=0

On comparing with standard quadratic equation ax^2+bx+c

a = 2, b = 8 and c = 3

So roots of the equation will be x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-8\pm \sqrt{8^2-4\times 2\times 3}}{2\times 2}=\frac{-8\pm 6.324}{4}=-0.418,-3.581

(b) c^2-14=5c

c^2-5c-14=0

a = 1, b = -5 and c= -14

So c=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-(-5)\pm \sqrt{(-5)^2-4\times 1\times (-14)}}{2\times 1}=\frac{5\pm 8.71}{2}=6.855,-1.855

7 0
3 years ago
The number of people estimated to vote in an election was 7,000. The actual number of people who voted was 5,600.
Inessa05 [86]

Answer:

20%

Step-by-step explanation:

7000-5600=1400

1400/7000×100=20

7 0
3 years ago
Read 2 more answers
Use the net to determine the total surface area. The net of a prism with width 10 inches, length 5 inches, and height 7 inches i
leva [86]
We are asked to solve for the surface area of the described figure in the problem. We can conclude that the given figure is a rectangular prism since it was being mentioned in the problem that the height is laid flat. Therefore, the formula for the surface area is SA = PH + 2B where "P" stands for the perimeter of the rectangle and "B" stands for the area of the rectangle while "H" is for the height.
Solving for P, we have it:
P = width + length + width + length
P = 10 + 5 + 10 + 5
P = 30 inches
Solving for B, we have it:
B = length * width 
B = 10 * 5
B = 50 inches squared
Solving for the surface area, we have it:
SA = PH + 2B
SA = 30*7 + (2*50)
SA = 310 inches squared

The answer is 310 in2.
6 0
3 years ago
Read 2 more answers
Suppose you invest $2000 at annual interest rate of 4.5 % How much money do you have in the account after five years?
Naya [18.7K]

Answer:

if my math is correct

Step-by-step explanation:

2501.50

2504.65

5 0
3 years ago
Pls hellllllllllllpppp ​
Crazy boy [7]
A is the correct answer
6 0
3 years ago
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