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borishaifa [10]
3 years ago
14

You draw a card at random from a deck that contains 3 black cards and 7 red cards.

Mathematics
1 answer:
Leni [432]3 years ago
5 0

The P(draw a black card) is 3/10.

<u>Step-by-step explanation:</u>

It is given that the deck contains 3 black cards and 7 red cards.

Therefore, the total number of cards in the deck = 7 red + 3 black = 10 cards.

Now, we need to find the possible outcomes of getting a black card. So, the number of black cards in the deck = 3 black cards.

<u>The formula to find the probability is given by :</u>

Probability = Number of required event / Total number of outcomes.

Here, the required event is getting a black card out of 10 cards in the deck.

  • The number of required event is 3.
  • The total number of outcomes is 10.

Probability (to draw black card) = 3/10.

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-8 + 3h = 1 <br>i need help its a 2 step equation​
LekaFEV [45]

Answer:

h = 3

Step-by-step explanation:

-8 + 3h = 1

Add 8 to both sides.

3h = 1 + 8

Add 1 and 8 to get 9.

3h = 9

Divide both sides by 3.

h = \frac{9}{3}

Divide 9 by 3 to get 3.

h = 3

7 0
2 years ago
​ △BCD ​ is a right triangle. The length of the hypotenuse is 19 centimeters. The length of one of the legs is 13 centimeters.
zheka24 [161]
<span>here we can use Pythogoras' theorem.
in right angled triangles the square of the hypotenuse is equal to the sum of the squares of the other 2 sides.
hypotenuse is 19 cm. One side is 13 cm and we need to find the length of the third side.
                                                                         
19</span>²<span> = 13</span>²<span> + X</span>²<span> 
X - length of the third side
                                                           
361 = 169 + X</span>²<span> 
X</span>²<span> = 361 - 169
                                                                     
X</span>²<span> = 192
                                                                             
X = 13.85 the length of third side rounded off to the nearest tenth is 13.9 cm</span>
3 0
3 years ago
Please help
baherus [9]

Answer:

-11/4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(2-57)/(23-3)

m=-55/20

simplify

m=-11/4

Please mark me as Brainliest if you're satisfied with the answer.

3 0
2 years ago
Please help, I really need help<br> Will mark as brainliest....
spayn [35]

Answer:

Step-by-step explanation:

A quarter circle is one fourth of a circle. To find the area of a quarter circle, find the area of the whole circle by using the formula A = pi * r^2 and then divide by 4. To find the perimeter of the quarter circle, find the circumference of the whole circle, divide by 4, and then add the radius twice.

4 0
2 years ago
The graph shows the functions f(x), p(x), and g(x): Graph of function g of x is y is equal to 1 plus the quantity 1.5 raised to
satela [25.4K]
Part A:

Given that the <span>straight line p(x) joins the ordered pairs (0, 2) and (1, -5), thus the equation of the line joining ordered pairs (0, 2) and (1, -5) is given by

\frac{y-2}{x} = \frac{-5-2}{1} =-7 \\  \\ \Rightarrow y-2=-7x \\  \\ \Rightarrow y=-7x+2

Thus, p(x) = -7x + 2

</span>Given that the <span>straight line f(x) joins the ordered pairs (4, 1) and (2, -3), thus the equation of the line joining ordered pairs (4, 1) and (2, -3) is given by

\frac{y-1}{x-4} = \frac{-3-1}{2-4} =\frac{-4}{-2}=2 \\  \\ \Rightarrow y-1=2(x-4)=2x-8 \\  \\ \Rightarrow y=2x-7

Thus, f(x) = 2x - 7
</span>
The solution to the pair of equations represented by p(x) and f(x) is given by

p(x) = f(x)
⇒ -7x + 2 = 2x - 7
⇒ -7x - 2x = -7 - 2
⇒ -9x = -9
⇒ x = -9 / -9 = 1

Substituting for x into p(x), we have

p(1) = -7(1) + 2 = -7 + 2 = -5

Therefore, the solution to the pair of equations represented by p(x) and f(x) is  (1, -5)



Part B:

From part A, we have that f(x) = 2x - 7

when x = -8

f(-8) = 2(-8) - 7 = -23

Thus, (-8, -23) is a solution to f(x).

When x = -10

f(-10) = 2(-10) - 7 = -27

Thus, (-10, -27) is a solution to f(x).

Therefore, two solutions of f(x) are (-8, -23) and (-10, -27).



Part C:

From part A, we have that p(x) = -7x + 2, given that g(x) = 1 + 1.5^x

From the graphs of p(x) and g(x), we can see that the two graphs intersected at the point (0, 2).

Therefore, the solution to the equation p(x) = g(x) is (0, 2).

3 0
3 years ago
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