A certain city has a population of about 100,000. There are 3,101 people with red hair in the city. Which of these is closest to the probability that a randomly selected person in the city has red hair?

Answer:

we have the expression as;

1/sin u cos u

Step-by-step explanation:

tan u = sin u/cos u

cot u = cos u/sin u

Thus;

sin u/cos u + cos u/sin u

The lcm is sin u cos u

Thus, we have that;

(sin^2 u + cos^2 u)/sin u cos u

But ; sin^2 u + cos^2 u = 1

so we have ;

1/sin u cos u

The requested trigonometric expression in terms of sine and cosine is;

[tex]f(u) = \frac{1}{ \frac{sinu}{cosu} + \frac{cosu}{sinu} } [/tex]

We must remember,

Therefore we have;

sin(u)/cos(u) + cos(u)/sin(u) = 1/f(u)

By Cross-product; we have;

[tex]f(u) = \frac{1}{ \frac{sinu}{cosu} + \frac{cosu}{sinu} } [/tex]

Therefore, the required function, f(u) in terms of sin u and cos u is as represented above.

Read more on trigonometry;

https://brainly.com/question/20519838

Answer:

-$16

Step-by-step explanation:

16-32=-16

Answer:

1204 in²

Step-by-step explanation:

To find the area of a trapezoid, use the following formula: [tex]\frac{b_{1} + b_{2} }{2} h[/tex]. First add the two bases together: 46 + 40 = 86. Now divide that by 2: 86/2 = 43. Now multiply this by the height (28): 43 x 28 = 1204. This is your area: 1204 in².

Hope it helps!

Answer:

1204

Step-by-step explanation:

1rst add the top numbers then divide it by 2. Then with the answer you have, multiply it by the height. Hope it helps! =D

Answer:

-4 and 4

Step-by-step explanation:

Negative x Positive = Negative

-4 x 4 = -16

-4 + 4 = 0

Answer:

The measure of angle 6 is 72.

The measure of angle 7 is 108.

Step-by-step explanation:

Corresponding angles are equal. So angle 1, 3, 5 and 7 are all equal.

If you look at angle 1 and 2, they are adjacent angles, so together they add up to 180. So if you subtract 108 from 180 you get 72... and we already established that all corresponding angles are equal, so if angle 2 is 72 degrees, we can conclude that angle 6 is as well.

Given:

The expression is

[tex]3(2x-4)-4x[/tex]

To find:

The simplified form of the given expression by using the distributive property and combining like terms.

Solution:

We have,

[tex]3(2x-4)-4x[/tex]

Using the distributive property, we get

[tex]=3(2x)+3(-4)-4x[/tex]

[tex]=6x-12-4x[/tex]

On combining like terms, we get

[tex]=(6x-4x)-12[/tex]

[tex]=2x-12[/tex]

Therefore, the simplified form of the given expression is [tex]2x-12[/tex].

Answer:

ocupa 10 ingredientes diferentes

Answer:

ocupa 10 ingredientes diferentes

Answer:

a + b

Step-by-step explanation:

Answer:

a+b=ab

Step-by-step explanation:

you have to combine the two variables and multiply them by phi then divide by gamma

Answer:

10p-40 = 10(p-4) this is the answer of this question

179 pounds

Step-by-step explanation:

yan po makatulong po yan thank you

Answer:

y > 1/2x + 2

Step-by-step explanation:

Answer:

360.67

Step-by-step explanation:

425.82+120.75-185.90=360.67

Answer:

The factors are: (x - 8) and (x + 7)

Step-by-step explanation:

Given

[tex]x^2 - x - 56 = 0[/tex] -- the right equation

Required

Select the factors of the equation

[tex]x^2 - x - 56 = 0[/tex]

Expand the equation

[tex]x^2 + 7x - 8x - 56 = 0[/tex]

Factorize:

[tex]x(x+7)-8(x+7) =0[/tex]

Factor out x + 7

[tex](x-8)(x+7) =0[/tex]

Hence, the factors are: (x - 8) and (x + 7)

a) Maximum: 10

b) Minimum: - 2

To determine the amplitude we first recognize the midline, so I will answer part d first,

d) We have our maximum as 10, and our minimum as - 2. The midline, by it's name, is a line that divides the graph in half. What we do is determine the average of 10 and - 2 => 10 - 2/2 = 8/2 = 4

Midline: y = 4

Now I will go back to part c,

c) The amplitude would be 6. We take the difference between the maximum and the midline, or the minimum and the midline.

e) Period => The difference between two respective points on the graph

=> 3π/2 - π/2 = π, Period = π

f) We know that the period = π...

2π/b = π, b = 2π/π = 2

Vertical Shift => up 4

Equation: f(x) =  6cos(2x) + 4

Answer:

20.

Step-by-step explanation:

5x7=35

5x4=20

Step-by-step explanation:

answer:20

good work :))

Answer:

414

Step-by-step explanation:

414 divided by 18 is 23

414 is a palindrome

414 is one less than 5

Answer:

24.75 ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

This expression has two terms.  They have nothing in common, so we cannot factor.  We could write it at 17x - z.  

Was there more to this problem?

Answer:

E,D

Step-by-step explanation:

Answer:

your study guide can be stuck up you know where :3

Answer:

False

Step-by-step explanation:

It's actually C=πd d is diameter or C=πr^2

Answer:

True

Step-by-step explanation: Calculate circumference from area

We are given the area, and by substitution we know that 13π = πr2. We divide out the π and are left with 13 = r2. We take the square root of r to find that r = √13. We find the circumference of the circle with the formula C = 2πr.

Answer:

It means that x = 20

Step-by-step explanation:

Answer:

Four possible values of x: 10, 3, 20, 31

Writing it in ascending order : 3, 10, 20, 31, 33

Step-by-step explanation:

Because x is a positive integers it means that x could be any number that goes from zero to infinity.

The possible values of x such that 33/x remains a positive integer in ascending order are 1,3,11 and 33.

An integer is a whole number irrespective of the sign that the integer is all whole numbers that are going from 0 to infinite or 0 to minus infinite.

Integer ; ....-2 , -1 , 0 , 1 , 2 , .....

Given the expression, 33/x

Now positive integers are whole numbers ( 1,2,3,...)

To 33/x be the whole number and x is also a positive integer.

33/1 = 33 (1,3 Positive integer)

33/3 = 11 (3,11 Positive integer)

33/11 = 3 (11,3 Positive integer)

33/33 = 1 (33,1 Positive integer)

Hence "The possible values of x such that 33/x remains a positive integer in ascending order are 1,3,11 and 33".

To learn more about integers,

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Given question is incorrect the correct question follows ;

33 / x is a positive integer. Work out the four possible values of x, writing your values in ascending order.

Step-by-step explanation:

So basically you're going to start with your (expected value - observed value) squared

(O-E)²

You're then gonna divide that by your expected value that you just used

(O-E)²/E