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3 years ago

6

The number of visitors to an annual neighborhood carnival increased each year as shown in the table. Predict the number of visit

ors in 2018, assuming the increase continues at this same rate.
Year 2003 2004 2005 2006 2007 2008
Visitors 310 332 355 380 406 434

1 answer:

VARVARA [1.3K]3 years ago

4 0

In 2018 there should be 794 visitors

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A fair six-sided die is tossed. After it lands, the bottom face cannot be seen. What is the probability that the product of the

user100 [1]

Answer:

5/6

Step-by-step explanation:

Only 5 is not divisible by 12

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3 years ago

Suppose a manager plans to sample 10 items from a population of 100 items and would like to determine the probability of observi

aev [14]

Answer:

a) We conclude that the menager use the hypergeometric distribution.

b) We conclude that the menager use the binomial distribution.

Step-by-step explanation:

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We conclude that the menager use the hypergeometric distribution.

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3 years ago

Please help with this question

natita [175]

Answer:

$12\sin{(2\theta)}\cos{(\theta)}$

Step-by-step explanation:

The appropriate trig identity is ...

$\sin{a}+\sin{b}=2\sin{\left(\dfrac{a+b}{2}\right)}\cos{\left(\dfrac{a-b}{2}\right)}$

Here, you have a scale factor of 6 and a=3θ, b=θ. Filling in these values gives ...

$6\sin{3\theta}+6\sin{\theta}=12\sin{\left(\dfrac{3\theta+\theta}{2}\right)}\cos{\left(\dfrac{3\theta-\theta}{2}\right)}\\\\=12\sin{(2\theta)}\cos{(\theta)}$

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3 years ago

What equation shows that 9 is a factor of 72

lana [24]

Answer:

9 x 8 = 72

This equation shows that 9 is a factor of 72 because 9 times something is 72 in this equation. Hope it helps!

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3 years ago

Read 2 more answers

Help me Please....................

MakcuM [25]

9514 1404 393

Answer:

1.3363

Step-by-step explanation:

The basic idea here is to find an expression for the direction vector between a point on L1 and a point on L2. Then, solve for the points on L1 and L2 that make that vector perpendicular to both lines L1 and L2. (The dot product of direction vectors is zero.) The distance between the points found is the shortest distance between the lines.

__

Let P be a point on L1. Then the parametric equation for P is ...

P = (6t, 0, -t) . . . . . . origin + t × direction vector

Let Q be a point on L2. The direction vector for L2 is given by the difference between the given points. It is (4-1, 1-(-1), 6-1) = (3, 2, 5). Then the parametric equation for Q is ...

Q = (3s+1, 2s-1, 5s+1) . . . . (1, -1, 1) + s × direction vector

The direction vector for PQ is ...

Q -P = (3s+1-6t, 2s-1, 5s+1+t)

The dot product of this and the two lines' direction vectors will be zero:

(3s+1-6t, 2s-1, 5s+1+t)·(6, 0, -1) = 0 = 13s -37t +5 . . . perpendicular to L1

(3s+1-6t, 2s-1, 5s+1+t)·(3, 2, 5) = 0 = 38s -13t +6 . . . perpendicular to L2

The solution to these equations is ...

s = -157/1237

t = 112/1237

Then (Q-P) becomes (94, -1551, 564)/1237, and its length is ...

|PQ| = √(94² +1551² +564²)/1237 ≈ 1.3363

The distance between the two lines is about 1.3363 units.

8 0

3 years ago