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frez [133]
2 years ago
6

What is the probability of drawing a queen or a heart from a standard deck of 52 cards?

Mathematics
2 answers:
kicyunya [14]2 years ago
7 0

Answer:

4/13

Step-by-step explanation:

4 queens and 13 hearts

4/ 52 + 13/52 - 1/52

16/52

4/13

Veronika [31]2 years ago
7 0

Answer:

Step-by-step explanation:

There are 13 hearts in 52 cards. C From above, P(Queen)=4/52 and P Heart=13/52, the queen of hearts is in both categories so we have to subtract 1/52 so we don't double count.

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One solution to the problem below is 5 what ya the other solution a^2-25=0
Alex

-5

a^2-25=0

a^2=25

take the square root of both sides

a=5, and -5

5 0
3 years ago
A pilot flew a 400-mile flight in 2.5 hours flying into the wind. Flying the same rate and with the same wind speed, the return
zheka24 [161]

Answer:

20 miles per hour

Step-by-step explanation:

traveling against the wind was 160mph (400/2.5)

traveling with the wind was 200mph (400/2)

going against the wind is going in the negative direction of the wind speed, and going with the wind is going in a positive direction of the wind speed, therefore the wind speed is |direction1-direction2|/2, which would be |200-160|/2 = |40|/2 = 20mph

(180mph is neutral speed with no wind, with wind affecting this neutral speed ±20mph)

4 0
2 years ago
Solve (x - 5)2 = 3.
Deffense [45]

Answer:

x = 5±√3

Step-by-step explanation:

Equation: (x-5)² = 3

Step 1: Take the square root of both side of the equation

√(x-5)² = ±√3

x-5 = ±√3

Step 2: add 5 to both side of the equation

x-5+5 = 5±√3

x = 5±√3

Hence, from the options above, the right answer is

B. x = 5±√3

4 0
3 years ago
Triangle JKL is similar to triangle MNO
astra-53 [7]

Answer:

Perimeter is 20 and x = 10

Step-by-step explanation:

MNO is 2/3 of JKL. So x = 15 x 2/3.  x = 10. 10 + 4 + 6 = 20

Hope this helps!

5 0
1 year ago
Write the fraction in simplest form.<br> 12x^2/28x
ZanzabumX [31]

Answer: (-6x - 5) • (2x + 3)

Step-by-step explanation:

((0 -  (22•3x2)) -  28x) -  15

Pull out like factors :

-12x2 - 28x - 15  =   -1 • (12x2 + 28x + 15)

Trying to factor by splitting the middle term

3.2     Factoring  12x2 + 28x + 15

The first term is,  12x2  its coefficient is  12 .

The middle term is,  +28x  its coefficient is  28 .

The last term, "the constant", is  +15

Step-1 : Multiply the coefficient of the first term by the constant   12 • 15 = 180

Step-2 : Find two factors of  180  whose sum equals the coefficient of the middle term, which is   28 .

     -180    +    -1    =    -181

     -90    +    -2    =    -92

     -60    +    -3    =    -63

     -45    +    -4    =    -49

     -36    +    -5    =    -41

     -30    +    -6    =    -36

     -20    +    -9    =    -29

     -18    +    -10    =    -28

     -15    +    -12    =    -27

     -12    +    -15    =    -27

     -10    +    -18    =    -28

     -9    +    -20    =    -29

     -6    +    -30    =    -36

     -5    +    -36    =    -41

     -4    +    -45    =    -49

     -3    +    -60    =    -63

     -2    +    -90    =    -92

     -1    +    -180    =    -181

     1    +    180    =    181

     2    +    90    =    92

     3    +    60    =    63

     4    +    45    =    49

     5    +    36    =    41

     6    +    30    =    36

     9    +    20    =    29

     10    +    18    =    28    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  10  and  18

                    12x2 + 10x + 18x + 15

Step-4 : Add up the first 2 terms, pulling out like factors :

                   2x • (6x+5)

             Add up the last 2 terms, pulling out common factors :

                   3 • (6x+5)

Step-5 : Add up the four terms of step 4 :

                   (2x+3)  •  (6x+5)

            Which is the desired factorization

<u>Answer:</u> (-6x - 5) • (2x + 3)

6 0
2 years ago
Read 2 more answers
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