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alisha [4.7K]
3 years ago
14

What is the value of x?

Mathematics
2 answers:
fenix001 [56]3 years ago
4 0

Answer:

x = 9

Step-by-step explanation:

12^2+x^2 = 15^2

==> x = 9

EastWind [94]3 years ago
3 0

Answer:

9

Step-by-step explanation:

x = \sqrt{c^{2} - a^{2}  }

x = \sqrt{15^{2} - 12^{2} }

x = \sqrt{225 - 144}

x = \sqrt{81}

x = 9

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4. The time taken for passengers to be checked-in for a flight is inversely proportional
Alla [95]

Answer:

90minutes

Step-by-step explanation:

Let the time taken for passengers to be checked-in be t

Let the number of staff working be w;.

If the time taken for passengers to be checked-in for a flight is inversely proportional to the number of staff working then;

t = kw

when t = 30, w = 5

30 = 5k

k = 30/5

k = 6

to get t when w = 15

t = kw

t = 6(15)

t = 90minutes

Hence it will take 90minutes long

6 0
3 years ago
What is the solution to the inequality 13 x + 3 < 42 ?
zepelin [54]

Answer:

x < -15

Step-by-step explanation:

Here is the solution:

-3x-42 > 3

Add the numbers

-3x > 45

Divide both sides of the inequation by -3 and flip the inequality sign.

x < -15

6 0
3 years ago
Assume that we have m coins. We toss each one of them n times. The probability of heads showing up for each coin isp. What’s the
olga nikolaevna [1]

Answer:

1-(1-p^n)^m

Step-by-step explanation:

For a coin, the probability of head showing in a single toss is p.

P(H)=p

Its complement, the probability of not head is

P(\Sim H)=1-p

This is a binomial distribution. In n tosses, the probability of having all heads (i.e. n heads) is

P(\text{all heads})=\binom{n}{n}p^n(1-p)^0=p^n

Let's call this value a.

For m coins, we determine the probability of at least 1 coin showing all heads by first finding its complement i.e. the probability of no coin showing all heads. This is also a binomial distribution.

P(\text{no coin showing all heads})=\binom{m}{0}a^0(1-a)^m=(1-a)^m

P(\text{at least 1 coin showing all heads})=1-P(\text{no coin showing all heads})

P(\text{no coin showing all heads})=1-(1-a)^m=1-(1-p^n)^m

8 0
4 years ago
Is 6.458 a rational number
Usimov [2.4K]

Answer:

It is a rational number

8 0
3 years ago
Read 2 more answers
What is the volume of this pyramid shown ?
aalyn [17]
Hello!
(Length x height x width) ÷ 3 = volume
  6 x 3 x 7 
   18 x 7
     126
 126 ÷ 3 = 42
The volume is 42 ft ³.
Hope this helped!
8 0
3 years ago
Read 2 more answers
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