15 16 and then 17 to be an equilateral
The length of the segment HI in the figure is 32.9
<h3>How to determine the length HI?</h3>
To do this, we make use of the following secant-tangent equation:
HI² = KI * JI
From the figure, we have:
KI = 21 + 24 = 45
JI = 24
So, we have:
HI² = 45 * 24
Evaluate the product
HI² = 1080
Take the square root of both sides
HI = 32.9
Hence, the length of the segment HI is 32.9
Read more about secant and tangent lines at:
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Answer:
0.0019390
Step-by-step explanation:
10% of people do not like the taste of cilantro
A researcher takes a random sample of 15 people and surveys whether they like cilantro
Use the binomial distribution to compute the probability that exactly 6 of the people in the sample do not like cilantro.
Probability of success = 0.10 = p
Probability of failure = 0.9 =q
n = 15
r = 6
Formula : 



Hence the probability that exactly 6 of the people in the sample do not like cilantro is 0.0019390
The amount of wrapping paper he need to cover the shoebox is 190 square inches
<h3>Surface area of a box</h3>
The formula for calculating the surface area of a box is expressed as:
SA = 2(lw + wh + lh)
where
l is the length
w is the width
h is the height
Given the following parameters
l = 10in
w = 5in
h =3in
Substitute
S = 2(10*5 + 5*3 + 10*3)
S = 2(50+15+30)
S = 2(95)
S = 190 square inches
Hence the amount of wrapping paper he need to cover the shoebox is 190 square inches
Learn more on surface area of box here: brainly.com/question/26161002
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