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Alex73 [517]
2 years ago
9

10 points

Mathematics
1 answer:
Sonbull [250]2 years ago
6 0

Answer:

1/169

Step-by-step explanation:

52 cards in a deck, 13 are diamonds

P(diamond) = number of diamonds/ total

                    = 13/52 = 1/13

Replace the card

52 cards in a deck, 13 are diamonds

P(diamond) = number of diamonds/ total

                    = 13/52 = 1/13

P (diamond, replace, diamond) = 1/13 * 1/13 = 1/169

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An observer for a radar station is located at the origin of a coordinate system. Find the bearing of an airplane located at the
AfilCa [17]

Answer:

135 degrees

S45^{0}E

Step-by-step explanation

Consider the attached diagram

we are required to find the bearing of the aeroplane,

Consider the right angled triangle BOE

|OB|=4 unit

|AB|=4 Units

Tan \alpha =\frac{Opposite}{Adjacent} =\frac{4}{4} \\\\\alpha=Tan^{-1} 1=45 degrees

The Bearing of the Aeroplane is therefore given:

(i)From North Clockwise as: 90+45 =135 degrees

(ii)From a North South Line as S45^{0}E

6 0
3 years ago
Square root of 75 plus square root of 3
olya-2409 [2.1K]
Answer:
6√3

Explanation:
Before we begin, remember the following:
\sqrt{a*b} = \sqrt{a}  *  \sqrt{b}
m \sqrt{a} + n \sqrt{a}  = (m+n) \sqrt{a}

Now, for the given:
75 can be written as 25*3
This means that:
\sqrt{75} = \sqrt{25*3}
Applying the above concept, we can find that:
\sqrt{75} = \sqrt{25*3} = \sqrt{25}  *  \sqrt{3}
Now, we know that:
√25 = 5 (we ignored the negative value)

This means that:
√75 = 5√3

Finally, we can compute the needed sum as follows:
√75 + √3 = 5√3 + √3 = 6√3

Hope this helps :)

8 0
3 years ago
Read 2 more answers
Kiran got 99 marks in Math, 69 mark in English and 91 in science. Another student Surya got 92 marks in Maths 33 in English and
statuscvo [17]

Answer:

Total marks = 468

Step-by-step explanation:

to find their total marks, you should simply find the sum of all the marks scored by Kiran and Surya in all subjects. That is done as follows:

99 + 69 + 91 + 92 + 33 + 84 =  468

4 0
3 years ago
3x + 8 + 4x = -8(x - 6) - 8(13x + 5)​
ollegr [7]
3x+8+4x=-8x+48–104x–40
7x+8=-112x+8
-7x -7x
8=-119x+8
-8 -8
0=-119x
0=x
4 0
3 years ago
Read 2 more answers
Jack spent $6.34 on haircut. $35.70 on groceries and $18.77 on a cake. How
NeTakaya
$88.76 - $6.34 - $35.70 -$18.77 = $27.95
6 0
2 years ago
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