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Aleksandr [31]
2 years ago
5

What is the total number of possible four-card poker hands if the hand contains exactly one heart?

Mathematics
1 answer:
lesantik [10]2 years ago
4 0

Answer:

Step-by-step explanation:

Assuming no wild cards ie. 52 card deck.

13 ways to fill the heart card

39 ways to fill the second card

38 ways to fill the third card

37 ways to fill the fourth card

13(39)(38)(37) = 712,842

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For the pair of supply-and-demand equations, where x represents the quantity demanded in units of 1000 and p is the unit price i
Liono4ka [1.6K]

Answer:

7 and 6 respectively

Step-by-step explanation:

Firstly, we have to solve the equations simultaneously.

2x + 7p = 56

3x - 11p = -45

Multiply equation I by 3 and ii by 2

6x +21p = 168

6x - 22p = -90

Subtract the second from first to yield:

43p = 258

p = 6

Insert this in equation 1 where we have 2x + 7p = 56

2x + 7(6) =56

2x + 42 = 56

2x = 14 and x = 7

The equilibrium price is 6 and the equilibrium quantity is 7

8 0
3 years ago
Which pair of inequalities would overlap if they were graphed?
Fittoniya [83]

Answer:

x <= 10, x >4

Step-by-step explanation:

This is because 4 is less than  10 and 10 is greater than 4, making them overlap

4 0
3 years ago
A parallelogram has sides of 18 and 26 ft, and an angle of 39° . Find the shorter diagonal
Fed [463]

Answer:

16.51

Step-by-step explanation:

In a parallelogram, the opposite angles are always equal in measure. So two of the angles in the parallelogram measure 39 degrees each.

The sum of angles of the parallelogram must be 360 degrees. Let the other two angles be x degree each. We can set up the following equation for the angles:

39 + 39 + x + x = 360

78 + 2x = 360

2x = 282

x = 141

This means, the other two angles measure 141 degree each. The shorter diagonal will be opposite to the shorter angle.

Hence, the diagonal opposite to the angle 39 degree will be the shorter one. A diagonal divides the parallelogram in two triangles. So we will have two sides and an included angle and we have to find the third side of the triangle which can be found using the law of cosines. Let the third side be c as shown in image below, using the law of cosines, we can write:

c^{2} = a^{2}+ b^{2} -2ab cos(\gamma)\\\\c^{2}=18^{2}+26^{2}-2(18)(26)cos(39)\\\\ c^{2}=272.59\\\\ c=16.51

Thus the shorter diagonal will be 16.51 feet in measure.

3 0
3 years ago
For the trapezoid ABCD E and F are the midpoints of
lawyer [7]

Answer:

EF=\frac{b+d}{2}\ units

Step-by-step explanation:

we know that

The <u><em>Trapezoid Mid-segment Theorem</em></u>. states that the length of the mid-segment is equal to the sum of the base lengths divided by two.

so

EF=\frac{BC+AD}{2}

we have

BC=b\ units\\AD=d\ units

substitute the given values

EF=\frac{b+d}{2}\ units

6 0
3 years ago
- 4x + y = 6<br> - 5x - y = 21<br> The solution is
77julia77 [94]

Answer:

x = -3

y = -6

Step-by-step explanation:

y = 6 + 4x \\  - 5x - (6 + 4x) = 21 \\  - 9x - 6 = 21  \\  - 9x = 27 \\ x =  - 3 \\ y = 6 + (4 \times  - 3) =  - 6

4 0
2 years ago
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