you may need to use the appropriate appendix table to answer this question. suppose that the mean daily viewing time of television is 8.35 hours. use a normal probability distribution with a standard deviation of 2.5 hours to answer the following questions about daily television viewing per household (a) what is the probability that a household views television between 4 and 12 hours a day? (round your answer to four decimal places.) (b) how many hours of television viewing must a household have in order to be in the top 4% of all television viewing households? (round your answer to two decimal places.) hrs (c) what is the probability that a household views television more than 3 hours a day? (round your answer to four decimal places.)

sin4π/3= sin(π+π/3) = - sinπ/3

cot4π/3=cot(π+π/3)= cotπ/3

OPTION C 4π/3

Answer:

bro I can’t do it TvT

The dimensions of the rectangle has a width = 12cm and length = 5cm.

In calculating the area of a rectangle, we multiply its length and width.

Let us use the letter x to represent the width, so that the length = x - 7

hence we calculate for the unknown x as follows;

x(x - 7) = 60

expand and equate to zero to derive a quadratic equation

x² + 7x - 60 = 0

by factorisation;

x² - 12x + 5x - 60 = 0

x(x - 12) +5(x -12) = 0

(x + 5)(x - 12) = 0

thus for x + 5 = 0

x = -5

and for x - 12 = 0

x = 12

Therefore, x = 12 is true for the quadratic equation and also for the width = 12 and length = 5cm for the rectangle.

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The distance from the person to the base of the cliff is 269.78 meters.

The height of the building from the base of the cliff is 829.37 meters

The situation forms right angle triangle.

The building is constructed on top the cliff that is 300 meters high.

Right angle triangle has one of its sides as 90 degrees. Therefore, the sides can be found using trigonometric ratios.

The height of the building from the cliff is 300m. let's find the hypotenuse side of the angle of elevation formed to the cliff.

Using sin rule,

300 / sin (72 - 63) = y / sin (180 - 162)

300 / sin 9 = y / sin 18

300 sin 18 = y sin 9

y = 300 sin 18 / sin 9

y = 92.7050983125 / 0.156

y = 594.230769231

Therefore, how far the person to the base of the cliff can be calculated as follows;

cos 63 = adjacent / hypotenuse

cos 63 = x / 594.2307

x = 594.2307 cos 63

x = 269.775092454

x = 269.78 meters

Therefore, the distance from the person to the base of the cliff is 269.78 meters.

height of the cliff  / 269.78 = tan 63

height of cliff = 269.78 tan 63

height of cliff = 529.37493165

height of cliff = 529.37

The height of the building = 300 + 529.37 = 829.37493165 = 829.37 meters

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The expression "5 added to the product of 12 and x" can be written as 12x + 5.

The expression "5 added to the product of 12 and x" can be written as:

12x + 5

Here's how we got this answer:

The product of 12 and x is written as 12x.

"5 added to the product of 12 and x" means we need to add 5 to 12x.

Putting these two parts together, we get the expression 12x + 5, which is the final answer.

Therefore, the expression "5 added to the product of 12 and x" can be written as 12x + 5. This is the algebraic representation of the given phrase.

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Solution: 60 ml

$ | The volume of the rock is calculated by subtracting the final volume from the initial volume. In this case, 125ml - 65ml = 60ml.

Let's use Cross-multiplication:

2mi ------------------------>15min

x mi------------------------->45min

So:

2/x = 15/45

Solving for x:

Multiply both sides by x:

x*(2/x) = x* 15/45

2 = 15x/45

Multiply both sides by 45:

45*2 = 45*(15x/45)

90 = 15x

Divide both sides by 15:

90/15 = 15x/15

6 = x

x = 6mi

Answer: $16 = 4s + 3g

Step-by-step explanation:

s = shoes

g = games

Answer:

1/5

Step-by-step explanation:

The lower triangular 3×3 matrices x such that x³ is the zero matrix have the form : x = [0 0 0,g h 0,0 0 0] where g and h any real number.

To find all lower triangular 3×3 matrices x such that x³ is the zero matrix,  set up the equation x³ = 0 and solve for the elements of x. Let's represent a generic lower triangular matrix as:

x = [a b 0

d e f

g h i]

Multiplying x by itself three times,

x³ = [a b 0] × [a b 0] × [a b 0]

= [a²+bd ab 0]

[ad+be ae+bf b²]

[ag+bh ah+bh 0]

Setting this result equal to the zero matrix, we have:

a²+bd = 0

ab = 0

ad+be = 0

ae+bf = 0

b² = 0

ag+bh = 0

ah+bh = 0

0 = 0

0 = 0

0 = 0

From the equations above, deduce the following conditions for the elements of x:

a = 0

b = 0

d = 0

e = 0

f = 0

g can be any real number

h can be any real number

i = 0

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Answer: \(4x^2-10x-6\)

Step-by-step explanation:

\((x-3)(4x+2)\)

\(Expand\) \(the\) \(polynomial\) \(using\) \(the\) \(FOIL\) \(method\).

Therefore your answer is \(4x^2-10x-6\)

Answer:

4x^2 -10x + 6

Step-by-step explanation:

multiply (x-3)(4x+2) using the foil method

(x*4x)+(x*2)+(-3*4x)+(3*2)= 4x^2+2x-12x+6 = 4x^2 -10x + 6

The critical value (t₍₃₀,₀.₀₅₎) for a 95% confidence interval, based on a random sample of 30 observations, is t₍₃₀,₀.₀₅₎ = 2.042.

To determine the critical value, we refer to the t-table with degrees of freedom (df) equal to n - 1, where n represents the sample size. In this case, the sample size is 30, so the degrees of freedom is 30 - 1 = 29.

For a 95% confidence interval, we need to consider the two-tailed critical region. Since the area in each tail is 0.025 (0.05/2), we look for the corresponding value in the t-table at a significance level of α/2 = 0.025 for df = 29.

The closest value to 0.025 in the table is 2.042.

Therefore, the critical value (t₍₃₀,₀.₀₅₎) for a 95% confidence interval based on a random sample of 30 observations is t₍₃₀,₀.₀₅₎ = 2.042.

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RESPUESTA: no es un triangulo

EXPRICACION

The sum of any two sides must be greater than the other to be it triangle thus it will not be a triangle so option (D) is correct.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180°.

For any triangle, the sum of any two sides must be greater than the then third side.

As per the given sides,  11, 13, 25

11 + 13 < 25

24 < 25 so it will not a triangle.

Hence "The sum of any two sides must be greater than the other to be it triangle thus it will not be a triangle".

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Answer:

D. 3.2553

Step-by-step explanation:

3/3.65 + 2/0.822

0.8219 + 2.4330

3.2553

Answer:

\(\sf D) \quad 3.2553\)

Step-by-step explanation:

Simplify the given expression:

   \(\sf \dfrac{3}{\sqrt{5}+\sqrt{2}}+\dfrac{2}{\sqrt{5}-\sqrt{2}}\)

\(\sf = \dfrac{3(\sqrt{5}-\sqrt{2})}{(\sqrt{5}+\sqrt{2})(\sqrt{5}-\sqrt{2})}+\dfrac{2(\sqrt{5}+\sqrt{2})}{(\sqrt{5}+\sqrt{2})(\sqrt{5}-\sqrt{2})}\)

\(\sf = \dfrac{3(\sqrt{5}-\sqrt{2})}{3}+\dfrac{2(\sqrt{5}+\sqrt{2})}{3}\)

\(\sf = \dfrac{3\sqrt{5}-3\sqrt{2}+2\sqrt{5}+2\sqrt{2}}{3}\)

\(\sf =\dfrac{5\sqrt{5}-\sqrt{2}}{3}\)

Given:

Substitute the given values into the simplified expression:

\(\sf =\dfrac{5(2.236)-1.414}{3}\)

\(\sf =\dfrac{11.18-1.414}{3}\)

\(\sf =\dfrac{9.766}{3}\)

\(\sf =3.2553\:\:(4\:d.p.)\)

Answer: D

Step-by-step explanation: i got it right

Answer:

#2

Step-by-step explanation:

{ 0,2,4,6,8} is  the complement of the set.

What is natural number in math?

Is zero a natural number?

u = {0, 1, 2, 3, 4, 5, 6, 7, 8}

Odd number less than 8  = { 1,3,5,7 }

complement =  {0, 1, 2, 3, 4, 5, 6, 7, 8} -  { 1,3,5,7 }

                     = { 0,2,4,6,8}

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Answer: hello some part of your question is missing

Let v=〈−2,5〉 in R^2,and let y=〈0,3,−2〉 in R^3.

Find a unit vector u in R^2 such that u is perpendicular to v. How many such vectors are there?

answer:

One(1) unit vector ( < 5/√29,  2 /√29 >  ) perpendicular to 〈−2,5〉

Step-by-step explanation:

let  

u = < x , y > ∈/R^2  be perpendicular to  v = < -2, 5 > ------ ( 1 )

hence :

-2x + 5y = 0

-2x = -5y

x = 5/2 y

back to equation 1

u = < 5/2y, y >

∴ || u || = y/2 √29

∧

u   = < 5 /2 y * 2 / y√29 ,  y*2 / y√29 >

    = < 5/√29,  2 /√29 >  ( unit vector perpendicular to < -2, 5 > )

Step-by-step explanation:

try this option, all the details are in the attachment.

Note, the nine numbers. used in the solution are: 1, 2, 3, 4, 5, 6, 7, 8 and 9.

Answer:

0.60922709536

Step-by-step explanation:

not sure if this is what you are looking for????

√6

im putting yall on folks

Answer :

an = a1 + (n-1) d

an = 54 + (9-1) -90

an = 54 + (8) - 90

an = 54 - 720

an = - 666

If Christian needs to park for 2 hours, Garage A would be cheaper. And the graph is given below.  

To compare the costs, we need to create mathematical functions that represent the total cost of each option based on the amount of time parked.

We can then graph these functions to visualize how they change as time increases, and we can use algebraic techniques such as substitution and simplification to determine which option is cheaper for a specific amount of time.

Here we have

Garage A charges an initial fee of $4 to park plus $3 per hour.

The amount charged by Garage A for t hours => 4 + 3t

Garage B charges an initial fee of $10 to park plus $1.50 per hour.

The amount charged by Garage B for t hours => 10 + 1.5t

After 2 hours the charges will be

Garage A, => 4 + 3(2) = 4 + 6 = $ 10

Garage B, => 10 + 1.5(2) = 10 + 3 = $ 13

Therefore,

If Christian needs to park for 2 hours, Garage A would be cheaper.

To graph, the lines make the values table as follows

For Garage A:

When t = 0, A = 4

When t=1, A = 7

When t=2, A = 10

Hence, the coordinate points are (0, 4) (1, 7), and (2, 10)

For Garage B:

When t=0, B = 10

When t=1, B = 11.5

When t=2, B = 13

Hence, the coordinate points are (0, 10) (1, 11.5), and (2, 13)

Hence, the graphs can be polt as shown below

Therefore,

If Christian needs to park for 2 hours, Garage A would be cheaper. And the graph is given below.  

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If Christian needs to park for 2 hours, Garage A would be cheaper. And the graph is given below.  

What is a graph?

In computer science and mathematics, a graph is a collection of vertices (also known as nodes or points) connected by edges (also known as links or lines). Graphs are often used to represent relationships between objects or to model complex systems.

Here we have

Garage A charges an initial fee of $4 to park plus $3 per hour.

The amount charged by Garage A for t hours => 4 + 3t

Garage B charges an initial fee of $10 to park plus $1.50 per hour.

The amount charged by Garage B for t hours => 10 + 1.5t

After 2 hours the charges will be

Garage A, => 4 + 3(2) = 4 + 6 = $ 10

Garage B, => 10 + 1.5(2) = 10 + 3 = $ 13

Therefore,

If Christian needs to park for 2 hours, Garage A would be cheaper.

To graph, the lines make the values table as follows

For Garage A:

When t = 0, A = 4

When t=1, A = 7

When t=2, A = 10

Hence, the coordinate points are (0, 4) (1, 7), and (2, 10)

For Garage B:

When t=0, B = 10

When t=1, B = 11.5

When t=2, B = 13

Hence, the coordinate points are (0, 10) (1, 11.5), and (2, 13)

Hence, the graphs can be polt as shown below

Therefore, if Christian needs to park for 2 hours, Garage A would be cheaper. And the graph is given below.  

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A function containing a variable base raised to a fixed power   is considered to be a power function.

when a function has a constant base raised to a variable power. This can be called an exponential function, not a power function A power function may be a function with a single term that is the product of a real number, a coefficient, and a variable raised to a fixed real number. It is in the form of f(x)=kx^p, where k and p are the real numbers whereas k is the coefficient.

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Square root of 4 is not a polynomial. It is a quadratic function. Functions containing other operations like square root is not a polynomial.

A polynomial need not have any square root.  polynomial is a finite sequence form. it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions. Polynomial are sums and differences of polynomial terms. For an expression to be a polynomial term, any variables in the expression must have whole number powers. It should not have any square root, cube root or any negative values. Quadratic function can have square root cube roots and fraction values.

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Answer:

According to, the average speed formula is:

Average Speed = Total Distance / Total Time

Let x be the distance travelled at 90 km/h and y be the distance travelled at 100 km/h. Then we have:

x + y = Total Distance

x / 90 + y / 100 = 1.5 (Total Time in hours)

Solving for x and y, we get:

x = 60 km

y = 75 km

Therefore, the total distance is x + y = 135 km.

The average speed is then:

Average Speed = Total Distance / Total Time

= 135 / 1.5

= 90 km/h

Answer:

B.) An isosceles triangle has at least two sides with equal measures.

Step-by-step explanation:

There are two equal sides and two equal angles in an isosceles triangle. There should be at least 2 equal sides for an Isosceles triangle. This means, even an equilateral triangle is an Isosceles triangle. In this case, at least two equal sides are 8 inches each. This is why the correct answer is 'Yes; an isosceles triangle has at least two sides that have equal measures.'

Answer:

AB=2 ft

ED=4.5 ft

BD=9 ft

m∠ABC=105°

m∠BCD=105°

m∠ADC=75°

Step-by-step explanation:

Using the definition of divisibility, 2p is the greatest common factor.

In the given question we have to factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.

The given polynomial is 2p^3+6p.

Now taking 2p common from both terms

=2(p^2+3)

By the definition of divisibility, we get

2p | 2p^3 and 2p|6p, 2| 2p^3 and 2|6p also p|2p^3 and p|6p.

So, 2,p and 2p are common factors of 2p^3 and 6p.

Hence, 2p is the greatest common factor.

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The right answer is:

Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.

2p^3+6p

The expected value of the winnings from this game is $3.24.

To find the expected value of the winnings, we multiply each payout by its corresponding probability and then sum up the results. Let's calculate it step by step:

Payout ($) Probability Payout x Probability

2 0.64 1.28

4 0.18 0.72

6 0.12 0.72

8 0.04 0.32

10 0.02 0.20

Now, let's sum up the values in the "Payout x Probability" column:

1.28 + 0.72 + 0.72 + 0.32 + 0.20 = 3.24

Therefore, the expected value of the winnings from this game is $3.24.

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