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Likurg_2 [28]
2 years ago
11

What is the length of the hypotenuse of the triangle? 7 ft 4 ft

Mathematics
1 answer:
stepladder [879]2 years ago
5 0

Answer:

√65 ft = 8.1 ft

Step-by-step explanation:

We solve using Pythagoras Theorem

c² = a² + b²

c = √a² + b²

Where c = Length of the Hypotenuse

a = 4ft , b = 7ft

Hence

c = √4² + 7²

c = √16 + 49

c = √(65)

c = 8.0622577483 ft

Approximately = 8.1 ft

Therefore, the length of the hypotenuse is √65 ft = 8.1 ft

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Suppose that an airline uses a seat width of 16.7 in. Assume men have hip breadths that are normally distributed with a mean of
murzikaleks [220]

Answer:

Step-by-step explanation:

Given that X, the hip width of men is N(14.2, 0.9)

i.e. we have \frac{x-14.2}{0.9} is N(0,1)

Seat width an airline uses = 16.7 inches.

a) the probability that if an individual man is randomly selected, his hip breadth will be greater than 16.7 in

=P(X>16.7 inches)\\= P(Z>\frac{16.7-14.2}{0.9} =P(Z>2.77)\\\\\\=P(Z>0)-(0

b) Here sample size = 126

Each person is independent of the other

the probability that these men have a mean hip breadth greater than 16.7

=0.0028^{126} <0.00001

c) part a is important since even a single person not fitting will cause embarassment and leads to customer dissatisfaction.

5 0
3 years ago
Read 2 more answers
If f(x) = 6x − 5 and f(5a) = 73, then what is the value of a?
Dmitrij [34]

Answer:

a =13/5

Step-by-step explanation:

f(x) = 6x − 5

f(5a) = 6*5a − 5=73

       30a -5 = 73

Add 5 to each side

    30a -5+5 = 73+5

      30a =78

Divide  by 30

30a/30 = 78/30

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4 0
2 years ago
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{362 – [63 + (48 ÷ 2) x 2]} + 3(9 +4)
Julli [10]

Answer:

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Step-by-step explanation:

<u>Solving with one operation at each step:</u>

  • {362 – [63 + (48 ÷ 2) x 2]} + 3(9 +4) =
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  • (362 – 111) + 3(9 +4) =
  • 251 + 3(13) =
  • 251 + 39 =
  • 290
6 0
2 years ago
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I need to know of an expression, that also uses an exponent that is equivalent to 5^-3
strojnjashka [21]

Answer:

1/5^3

\frac{1}{5^{3} }

Step-by-step explanation:

I'm not sure how to explain this, but if there is a negative exponent, then it can be written like this, as the denominator of a fraction.

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2 years ago
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Answer:

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Step-by-step explanation:

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