find the value of trigonometric ratio

Answer and explanation:

Given that there is 45% off original price of outdoor furniture and price is represented by p

Discount on original price of outdoor furniture = 45% of p=0.45×p=0.45p

Therefore post sale price(after discount) of outdoor furniture can be represented by (1-0.45)p=0.55p

Answer:

We get [tex]\mathbf{n>-10\:\:and\:\:n<8}[/tex]

Or we can write as:  [tex]\mathbf{-10<n<8}[/tex]

The graph is shown is figure attached below:

Step-by-step explanation:

We need to solve the inequality [tex]-1<9+n<17[/tex] and graph the answer.

Solving the inequality

[tex]-1<9+n<17[/tex]

We know that if a<u<b then we can write a<u and u<b

So, we can write

[tex]-1<9+n \:and\: 9+n<17[/tex]

Solving these equations and finding values of n

[tex]-1<9+n \:and\: 9+n<17\\9+n>-1\:and\:9+n<17\\n>-1-9\:and\:n<17-9\\n>-10\:and\:n<8[/tex]

So, we get [tex]\mathbf{n>-10\:\:and\:\:n<8}[/tex]

We can write it as: -10< n and n<8

Overlapping we get: [tex]\mathbf{-10<n<8}[/tex]

The graph is shown is figure attached below:

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

[tex]12 - 6x = - 2x[/tex]

[tex]12 = - 2x + 6x \\ 12 = 4x \\ \frac{12}{4} = x \\ 3 = x[/tex]

[tex]3(4 - 2x) = - 2x \\ 3(4 - 2(3)) = - 2(3) \\ 3(4 - 6) = - 6 \\ 3( - 2) = - 6 \\ - 6 = - 6 \: \: \green{ \checkmark}[/tex]

The equation is true when x = 3. Therefore the answer is D. 3

[tex] \large \boxed{x = 3} \: \: \sf{or} \: \: \large \boxed{ \sf{D \: \: choice}}[/tex]

Answer:

solution

Step-by-step explanation:

3 (4-2x)= -2x

12-6x= -2x

12= -2x+6x

12= 4x

12÷4= x

3= x

D

Answer:

Step-by-step explanation:

exponential decay

rate of change: 20%

Answer:

A machine has 12 identical components which function independently. The probability that a component will fail is 0.2. The machine will stop working if more than three components fail. Find the probability that the machine will stop working. A) 0.073 B) 0.795 C) 0.867 D)0.205

Answer:

4:36

24 x 4:36

96:36

8:4

1day = 24 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

132 is what percent of 880? = 15.

Answer:

A probability of 0.254 should replace the "?" in the table

Step-by-step explanation:

We have the probabilities for the time of the day when each person begins a trip, during a 24-hour period.

The sum of these probabilities has to be 100% = 1.

The probabilities are of: 0.004, 0.033, 0.144, 0.234, 0.208, ?, 0.123

Since their sum has to be 1, we can find ?. So

0.004 + 0.033 + 0.144 + 0.234 + 0.208 + ? + 0.123 = 1

0.746 + ? = 1

? = 1 - 0.746

? = 0.254

A probability of 0.254 should replace the "?" in the table

Answer:

x=-6.8

[tex] \\ step \: by \: step \: explanation \\ \frac{11}{(x + 9)} = 5 \\ 11 = 5(x + 9) \\ 11 = 5x + 45 \\ 5x = 11 - 45 \\ 5x = - 34 \\ x = \frac{ - 34}{5} = - 6.8[/tex]

Answer:

27 degrees

Step-by-step explanation:

Answer:

a = 27° ______

Step-by-step explanation:

~~~~~~~~~~

Answer:

y=2x-4

Step-by-step explanation:

gdgdvdjsksevsg

Answer:

there's no image lol

Step-by-step explanation

Answer:

M = rise/run is the formula

Step-by-step explanation:

That's it

Given the equation: - 4 √x - 3 = 12

solve for x;

Divide both sides by -4 in [1];  we get;

√x - 3 = -3

Squaring both sides we get;

x -3 = (3)²

or

x - 3 = 9

Add 3 both sides we get;

x - 3 + 3 = 9 + 3

Simplify:

x= 12

Extraneous solution states that it is a root of a transformed equation that is not a root of the original equation because it was excluded from the domain of the original equation.

Substitute  x= 12 in [1]

- 4√12 - 3 = 12

- 4√9 = 12

-4. 3 = 12

-12 = 12 False.

Therefore, the value of x is 12 and it is an extraneous solution.

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Answer:

936

Step-by-step explanation:

18*24=432

24*7=168

30*7=210

18*7=126

432+168+210+126

=936

Answer:

x = -6

Step-by-step explanation:

4x - 2 - 8x = 22

-4x - 2 = 22

-4x = 24

4x = -24

x = -6

The smallest number by which 2068 must be multiplied to make perfect square is 1080

A perfect square is a number system that can be expressed as the

square of a given number from the same system.

We have to find the smallest number by which 2068 must be multiplied to make perfect square.

Then, Let the number be 1080 .

So,

2068 x 1080 = 2,233,440

2,233,440 = perfect square

Learn more about perfect square;

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Answer:

56.52 is the circumference. If the radias is 9 and the diameter is then 18.

Step-by-step explanation:

Answer:

56.52 is the circumference. If the radias is 9 and the diameter is then 18.

Step-by-step explanation:

Answer:

A y=2x + 3

Step-by-step explanation:

Answer:

The answer is A. (y = 2x + 3)

Step-by-step explanation:

Since its talking about $3 plus $2 per dog it would make sense to pick

y = 2x + 3 because 2x represents the number of dogs and how it costs $2 per dog while the 3 represents how it also cost $3 plus the $2.

Answer:

Find the probability that n = 6 runs result in Y1=3,Y2=1, and Y3=2

=0.823

Step-by-step explanation:

Multinomial distribution

p(y1;y2,y3…..yk) = (n!/y1!,y2!,y3!…y4!) x p1^y1 x p2^y2 x p3^y3 x pk^yk)  

The rat chooses of the three exists at random:

p = 1/3

p(3,2,1) = 6! / 3! 1!  2! (1/3)^3 (1/3)^1 (1/3)^2

              =20/243

              =0.823

Answer:

252 in²

Step-by-step explanation:

Just separate them into different shapes and add their areas together.

Answer:

252 Inches

Step-by-step explanation:

We first section off all the areas we can, find the area of each of those, add them all up, and you get 252 inches.

Answer:

The answer is below

Step-by-step explanation:

For a normal distributed population with a mean (μ), and a standard deviation (σ), if a sample size of n is selected from the population, the mean of the sample ([tex]\mu_x[/tex]) =  μ and the standard deviation of the sample ([tex]\sigma_x[/tex]) = [tex]\frac{\sigma }{\sqrt{n} }[/tex]

Let the normal distribution population have a standard deviation of σ. If the standard deviation is to be decreased by half, the sample size (n) needed is:

[tex]Using:\\\\\sigma_x=\frac{\sigma}{\sqrt{n} } \\\\but\ \sigma_x=\frac{\sigma}{2}\\\\Hence:\\\\ \frac{\sigma}{2}=\frac{\sigma}{\sqrt{n} }\\\\Divide\ through\ by \ \sigma\ to\ get:\\\\ \frac{1}{2}=\frac{1}{\sqrt{n} }\\\\\sqrt{n}=2\\\\square\ both\ sides:\\\\(\sqrt{n} )^2=2^2\\\\n=4\\\\[/tex]

To decrease the standard deviation of the sampling distribution by half we need a sample size of 4

Answer:

Number of cars needed for the trip = 11

Step-by-step explanation:

Given that:

Number of children = 40

Number of adults = 12

Total number = 40 + 12 = 52 people

Each car can hold 5 people.

Number of cars = [tex]\frac{52}{5}[/tex]

Number of cars = 10.4

Rounding off to next whole number as one car can hold a maximum of 5 people.

Number of cars = 11

Hence,

Number of cars needed for the trip = 11

Answer: $65; $35+r•2

Step-by-step explanation:

So if every ride Brayden goes on costs $2 and he rides 15 rides, 2•15= $30 from rides alone. Then you add the $35 from admission to that number to get $65. This works for any amount of rides, just change the number to how many rides he goes on and use the same formula, 35+r•2 where r equals the number of rides ridden.

Answer:

0.254

Step-by-step explanation:

Given that:

Percentage of those having health insurance = 71%

p = 71 / 100 = 0.71

Number of adults selected at random, n = 4

Probability that 4 selected have health insurance :

p^n = 0.71^4 = 0.25411681

= 0.254