An 80-m tower is supported by a guy wire attached to the top of the tower. If the wire forms an

1 answer:

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The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The length of the wire is 81.5 meters.

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,

Sin(θ) = Perpendicular/Hypotenuse

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

The length of the tower is 80 meters, while the angle of elevation is 79°. Therefore, the length of the wire will be the hypotenuse of the triangle. Therefore, the length of the wire is,

Sin(θ) = Perpendicular/Hypotenuse

Sin(79°) = 80 meter/Length of the wire

Length of the wire = 81.4973 ≈ 81.5 meters

Hence, the length of the wire is 81.5 meters.

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Food allergies affect an estimated 7% of children under age 5 in the US. What is the probability that in a kindergarden class of

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Answer:

Probability of atleast one of 12 student has food allergies ≈ 0.58 ( approx)

Step-by-step explanation:

Given: Probability of a children under age 5 has food allergies = 7%

= $\frac{7}{100}$

To find : Probability of atleast one of 12 student has food allergies

Probability of a chindren under age 5 does not have food allergies = $1-\frac{7}{100}$

⇒ prob = $\frac{93}{100}$

now we find Probability of atleast one of 12 student has food allergies this means we have to find prob of 1 student, 2 student, 3 student, till 12 student have allergy out of 12 student of class then add all prob.

But instead of finding all these probability we find probability of student having no allergy.i.e., 0 student then subtract it from 1(total probability)

Probability of 0 student having allergy out of 12 student = $(\frac{93}{100})^{12}$