I if the no of Girates at congtin were reduced by 63% what would be the approximate ratio of giraffes to animals in other catego

Answer:

a) There is a 99.73% chance that a randomly picked individual does not celebrate their birthday on March 14.

b) There is a 96.71% chance that a randomly picked individual does not celebrate their birthday on the 2nd day of any month.

c) There is a 98.08% chance that a randomly picked individual does not celebrate their birthday on the 31st day of a month.

d) There is a 92.33% chance that a randomly picked individual was not born in February.

Step-by-step explanation:

The probability is calculated as the number of successful outcomes divided by the total outcomes.

A standard year comprises 365 days.

(a) Calculating the probability that a randomly selected individual does not have a birthday on March 14:

Excluding March 14 yields 365-1 = 364 days. Thus,

364/365 = 0.9973

So, there is a 99.73% chance that a randomly selected person does not celebrate their birthday on March 14.

(b) Calculating the probability that a randomly selected person does not celebrate their birthday on the 2nd day of a month:

With 12 months, there are 12 occurrences of the 2nd day.

Thus,

(365-12)/365 = 0.9671

Hence, a 96.71% chance that someone does not have a birthday on the 2nd day of any month.

(c) Calculating the probability that a randomly chosen individual does not have a birthday on the 31st day of any month:

Months with 31 days include January, March, May, July, August, October, and December.

This totals 7 instances of the 31st day.

Thus,

(365-7)/365 = 0.9808

In conclusion, there's a 98.08% chance that a randomly selected person does not celebrate their birthday on the 31st day of any month.

(d) Calculating the probability that a randomly selected person was not born in February:

February has 28 days in a non-leap year. Thus,

(365-28)/365 = 0.9233

So, a 92.33% chance that a randomly picked individual was not born in February.

The diagram is not available, so I included a supplementary figure.

Response:

The segments ST and UT are equal in length.

Detailed explanation:

As seen in the additional figure

∵ ST and UT act as tangents to circle K at points S and U respectively

∵ SK and UK are the radii of circle K

- A tangent is perpendicular to the radius at the point where it touches the circle.

Thus, ST ⊥ KS at point S

Thus, m∠KST = 90°

Thus, UT ⊥ KU at point U

Thus, m∠KUT = 90°

Therefore, m∠KST = m∠KUT

In triangles KST and KUT

∵ KS = KU because they are both radii

∵ m∠KST = m∠KUT confirms the equality

∵ KT is common to both triangles

- Therefore, the triangles are congruent according to the HL criterion

∴ Δ KST ≅ KUT as per the HL criterion

- Thus, from the congruency result

∴ ST = UT

The segments ST and UT are equal in length.

Vera's phone battery is currently at 1/2 remaining.
1 hour = 1/8.

To determine how many hours remain, divide 1/2 by 1/8 since you wish to figure out how many eighths of battery are left before depletion.

1/2 divided by 1/8 equals 4.

So, there are 4 hours left