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s2008m [1.1K]
2 years ago
10

In ΔGHI, h = 760 inches, ∠G=43° and ∠H=26°. Find the length of i, to the nearest inch.

Mathematics
1 answer:
Gwar [14]2 years ago
5 0

Answer:

1619

Step-by-step explanation:

I = 180 - 43 - 26 = 111

using sine rule

\frac{i}{sin 111} = \frac{760}{sin 26}

i = 1618.5 = 1619

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Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, 33% of all homeowners are ins
Lina20 [59]

Answer:

(a) The probability mass function of <em>X</em> is:

P(X=x)={4\choose x}\ (0.33)^{x}\ (1-0.33)^{4-x};\ x=0,1,2,3...

(b) The most likely value for <em>X</em> is 1.32.

(c) The probability that at least two of the four selected have earthquake insurance is 0.4015.

Step-by-step explanation:

The random variable <em>X</em> is defined as the number among the four homeowners  who have earthquake insurance.

The probability that a homeowner has earthquake insurance is, <em>p</em> = 0.33.

The random sample of homeowners selected is, <em>n</em> = 4.

The event of a homeowner having an earthquake insurance is independent of the other three homeowners.

(a)

All the statements above clearly indicate that the random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> = 4 and <em>p</em> = 0.33.

The probability mass function of <em>X</em> is:

P(X=x)={4\choose x}\ (0.33)^{x}\ (1-0.33)^{4-x};\ x=0,1,2,3...

(b)

The most likely value of a random variable is the expected value.

The expected value of a Binomial random variable is:

E(X)=np

Compute the expected value of <em>X</em> as follows:

E(X)=np

         =4\times 0.33\\=1.32

Thus, the most likely value for <em>X</em> is 1.32.

(c)

Compute the probability that at least two of the four selected have earthquake insurance as follows:

P (X ≥ 2) = 1 - P (X < 2)

              = 1 - P (X = 0) - P (X = 1)

              =1-{4\choose 0}\ (0.33)^{0}\ (1-0.33)^{4-0}-{4\choose 1}\ (0.33)^{1}\ (1-0.33)^{4-1}\\\\=1-0.20151121-0.39700716\\\\=0.40148163\\\\\approx 0.4015

Thus, the probability that at least two of the four selected have earthquake insurance is 0.4015.

3 0
3 years ago
7(g + 2h)<br> What is an equivalent expression
nika2105 [10]

Answer:

7g+14h

Step-by-step explanation:

hope it helped you

5 0
2 years ago
Read 2 more answers
A phone company offers two monthly plans. Plan A costs $11 plus an additional $0.16 for each minute of calls. Plan B costs $29 p
Andrew [12]

Answer:

The plans will cost the same when the amount you have to pay for talking for "x" minutes on Plan A is the same has what you have to pay for talking for the same number of "x" minutes when using Plan B.

 

$$ Plan A = $$ Plan B

 

To find the charge on each plan we add the base rate to the per minute call rate for each.

 

Plan A = $27 + $0.11x

Plan B = $13 + $0.15x

 

Let's drop the $ sign for now and get rid of the decimal point by multiplying by 100.

 

2700 + 11x = 1300 + 15x

 

Subtracting 11x and 1300 from both sides:

 

4x = 1400

 

x = 350 min.

 

Using this result the plans both cost $65.50 for 350 min of talk time.

Step-by-step explanation:

boom   :)

5 0
3 years ago
During the spring, when the snow and ice melt in the Inka Binka Mountains, it causes the Habooka River to rise. If the river ris
stepladder [879]

Answer:

6 centimeters per day

Step-by-step explanation:

Since there are 7 days in one week, 42 cm divided by 7 days will equal to the answer 6 centimeters per day.

5 0
2 years ago
Find the point on the line y = 2x +1 that is closest to the point (5, 2).
ELEN [110]
I believe that it's (1,3) 
(tip: with these problems, try to use desmos.com)
7 0
3 years ago
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