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3 years ago

Find the distance between the points (-10, -4) and (-4,-4).

Mathematics

1 answer:

Rudiy273 years ago

3 0

Answer:

im here for the points

Step-by-step explanation:

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A regular hexagon is inscribed in a circle as shown determine the measure of FE

Ostrovityanka [42]

The complete question in the attached figure

we know that
1) <span>The triangles that are formed in the hexagon by joining all the vertices with the center of the hexagon are all equilateral and are equal in size
therefore
the radius of the circle is equals to the length side of the regular hexagon
FE=BP--------> FE=6 cm

the answer is
FE=6 cm </span>

3 0

2 years ago

Read 2 more answers

Naval intelligence reports that 4 enemy vessels in a fleet of 17 are carrying nuclear weapons. If 9 vessels are randomly targete

icang [17]

Answer:

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

Step-by-step explanation:

The vessels are destroyed without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

Fleet of 17 means that $N = 17$

4 are carrying nucleas weapons, which means that $k = 4$

9 are destroyed, which means that $n = 9$

What is the probability that more than 1 vessel transporting nuclear weapons was destroyed?

This is:

$P(X > 1) = 1 - P(X \leq 1)$

In which

$P(X \leq 1) = P(X = 0) + P(X = 1)$

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,17,9,4) = \frac{C_{4,0}*C_{13,9}}{C_{17,9}} = 0.0294$

$P(X = 1) = h(1,17,9,4) = \frac{C_{4,1}*C_{13,8}}{C_{17,9}} = 0.2118$

Then

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0294 + 0.2118 = 0.2412$

$P(X > 1) = 1 - P(X \leq 1) = 1 - 0.2412 = 0.7588$

0.7588 = 75.88% probability that more than 1 vessel transporting nuclear weapons was destroyed

8 0

2 years ago

What is 1 over 2 mean?

Debora [2.8K]

Answer:

One out of two, or half.

3 0

3 years ago

Read 2 more answers

What is the reference angle for a 240 degree angle?

Veronika [31]

The reference angle for 240° is 60° because 240 is in quadrant III. If you were to subtract 240 from 180 you’d get 60.

5 0

1 year ago

find the area of each sector. Use the 3.14 as the value of pi. Round your answer to the nearest tenth. Part 4

Yuri [45]

Answer:

1) 378.1 in²

2) 8.4 m²

Step-by-step explanation:

Area of sector= $\frac{θ°}{360°} \times \pi {r}^{2}$

1) Area of sector

$= \frac{150°}{360°} \times 3.14 \times {17}^{2} \\ = 378.1 \: in^{2} \\ (nearest \: tenth)$

2) Area of sector

$\frac{60°}{360°} \times 3.14 \times {4}^{2} \\ = 8.4 \: m^{2} \\ (nearest \: tenth)$

7 0

2 years ago