when bisecting an angle, why must The Arc be drawn in the interior of the angle?​

Complete  Question

One consequence of the popularity of the internet is that it is throughout to reduce television watching. Suppose that a random sample of 55 individuals who consider themselves to be avid Internet users results in a mean time of 2.10 hours watching television on a weekday. The  standard deviation  is  [tex]\sigma = 1.93[/tex]

Required:

Determine the likelihood of obtaining a sample mean of 2.10 hours or less from a population whose mean is presumed to be 2.45 hours.

Answer:

The  likelihood is  [tex]P(X \le 2.10 ) = 0.08931[/tex]

Step-by-step explanation:

From the question we are told that  

    The sample size is  [tex]n = 55[/tex]

    The population mean is  [tex]\mu = 2.45 \ hours[/tex]

    The random mean considered [tex]\= x = 2.10 \ hours[/tex]

Generally the standard error of  mean is mathematically represented as

              [tex]\sigma _{\= x } = \frac{\sigma }{ \sqrt{n} }[/tex]

=>           [tex]\sigma _{\= x } = \frac{1.93 }{ \sqrt{55} }[/tex]

=>           [tex]\sigma _{\= x } = 0.2602[/tex]

The  likelihood of obtaining a sample mean of 2.10 hours or less from a population whose mean is presumed to be 2.45 hours is mathematically represented as

               [tex]P(X \le 2.10 ) = 1 - P(X > 2.10 ) = 1 - P( \frac{X - \mu }{\sigma_{\= x }} > \frac{ 2.10 - 2.45}{ 0.2602} )[/tex]

Generally    [tex]\frac{X - \mu }{\sigma_{\= x }} = Z(The \ standardized \ value \ of \ X )[/tex]

               [tex]P(X \le 2.10 ) = 1 - P(X > 2.10 ) = 1 - P( Z > -1.345 )[/tex]

From the z-table the value of

           [tex]P( Z > -1.345 ) = 0.91069[/tex]

  So

        [tex]P(X \le 2.10 ) = 1 - P(X > 2.10 ) = 1 - 0.91069[/tex]

         [tex]P(X \le 2.10 ) = 1 - P(X > 2.10 ) = 0.08931[/tex]

        [tex]P(X \le 2.10 ) = 0.08931[/tex]

Answer:

11.04hrs

Step-by-step explanation:

Since Steven traveled 530 miles (number of hrs times mph) we would just divide 530 and 48 which is 11.04 hrs

I prefer solving quadratic equations with the quadratic formula. The formula is great for solving any equations like ones that factoring can’t. It is also easy to memorize and type in and check with a calculator.

I always prefer quadratic formula as compared to factoring or completing the square to solve a quadratic equation.

"A quadratic equation is an algebraic equation of the second degree in 'x'. The quadratic equation in its standard form is ax² + bx + c = 0, where 'a' and 'b' are the coefficients, 'x' is the variable, and 'c' is the constant term."

In order to solve a quadratic equation, I always prefer quadratic formula as compared to the other methods.

In many cases, a quadratic equation can not be converted into a square or into factors.

Therefore, quadratic formula is the only method to solve all type of quadratic equation.

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Answer:

[tex]4+3i[/tex]

Step-by-step explanation:

=[tex]\frac{(10+20i)}{4+2i} \\\\\frac{10+20 i}{4+2i}[/tex]x   [tex]\frac{(4-2i)}{(4-2i)}[/tex]

=[tex]\frac{(10+20i)(4-2i)}{(4^{2}-2i^{2}) } \\\frac{40-20i+80i+40}{16+4}\\ \frac{80+60i}{20}\\ 4+3i[/tex](Taking 20 common from both numerator and deniminator)

Answer:

1/380

Step-by-step explanation:

Probability of Bob's name drawn first is:

And probability of Laquisha's name drawn second is:

Probability of the two events happening is:

Answer:

Hey there!

1/19 (1/20)=1/380, so the probability is 1/380

Let me know if this helps :)

Answer:

a) - 10 m/s

b) 10 m/s

c) - 10 m/s²

Step-by-step explanation:

Given, a particle moving on the x-axis. Its position is:

Let's assume unit of x is m.

For t= 0,

For t = 1,

a) Velocity at time t=1

Velocity = displacement/time = (-6- 4)/1 = - 10 m/s as it moves to the left

b) Speed at time t = 1

Speed = distance/time = (4 + |6|)/1 = 10 m/s

c) Acceleration at t = 1

Acceleration is rate of change of velocity.

It took 1 sec to change velocity from 0 to - 10 m/s

So acceleration is:

Answer: C. x>70

Step-by-step explanation:

       x/10>7

x/10 × 10>7 × 10

           x>70

Hope this helps!! :)

Let's say you had a cake that is cut into 5 equal slices. Then someone eats 2 of those slices. They ate 2/5 of the cake.

Now let's say you have another cake that you cut into 10 equal slices. If someone eats 4 of those ten, then they have eaten 4/10 = 2/5 of the cake.

Check out the diagram below to see a visual of how 4/10 and 2/5 are equivalent fractions.

Going from 2/5 to 4/10 has us multiply top and bottom by 2.

-----------

Similarly, 1/2 = 5/10 after multiplying top and bottom by 10

The original expression 2/5 + 1/2 turns into 4/10 + 5/10

Then you add the numerators to get 4+5 = 9, placing that over the common denominator of 10

Answer:2 (-2x + 4 - 5 - 3)

2(-2x -4)

-4x - 8

Answer:

Step-by-step explanation:

D = {x | x is a whole number}

D = {0, 1, 2, 3, 4,......}

E = {x | x is a perfect square between 49 and 100}

E = {64, 81}

F = {x | x is an even number between 10 and 20}

F = {12, 14, 16, 18}

D∪F = {x | x is whole number}

D∩F = {x | x is an even number between 10 and 20}

D∩E = {x | x is a perfect square between 49 and 100}

E∩F = {null set}

D∩(E∪F) = {12, 14, 16, 18, 64, 81}

Answer:

5/37+30/37*i

Step-by-step explanation:

we multiply by 1+6i

so 5*(1+6i)/(1^1-36i^2)=(5+30i)/37=

5/37+30/37*i

Answer:

x = 5, -3

Step-by-step explanation:

2x² - 4x - 5 = 25

add 5 to each side

2x² - 4x = 30

factor out the 2

2(x² - 2x) = 30

divide both sides by 2

x² - 2x = 15

divide b by 2, square it -- (b/2)², and add it to both sides

-2/2 = -1 → -1² = 1

x² - 2x + 1 = 15 + 1

factor the expression on the left -- this will be [x - (b/2)]²

(x - 1)² = 16

find the square root of both sides

x - 1 = ±4

add 1 to both sides

x = 4 + 1

x = -4 + 1

solve

x = 5, -3

Answer:

A

Step-by-step explanation:

Since m∠JOK is 1/5th of the measure of the full circle (we know this because 72° is 1/5th of 360° and 360° is the measure of the whole circle), we know that the measure of minor arc JK will be 1/5th of the circumference of the circle. C = 2πr and we know that r = 5 so the circumference is 10π. 1/5th of that is 2π.

Answer:

  f(777) = 390

Step-by-step explanation:

f(1) = 2 . . . . given

f(2) = f(f(1)) = 3 . . . . given

f(3) = f(f(f(1))) = 1+4 = 5

f(5) = f(f(3)) = f(f(f(2))) = 2+2 = 4

f(4) = f(f(5)) = f(f(f(3))) = 3+4 = 7

f(7) = f(f(4)) = f(f(f(5))) = 5+4 = 9

Then the sequence of sequential function values is ...

  2, 3, 5, 4, 7, 9, 6, 11, 13, ... (pattern repeats in groups of 3)

__

Each odd number of the form 4n+1 is the function value f(4n-1) = 4n+1.

Similarly, the next function value is f(4n+1) = (4n+1+3)/2.

Since 777 is 4(194) +1, we have ...

  f(777) = (777+3)/2

  f(777) = 390

Answer:

population of Fort Worth, Texas. =9/100(x)

Step-by-step explanation:

in the state of Texas, about 3/100 of the population lives in the city Fort Wroth.

Let the population of the state of texas = X

Fort wroth population= 3/100(x)

the population of Huston, Texas, is about 3 times the population of Fort Worth, Texas. = 3*(3/100(x))

the population of Huston, Texas, is about 3 times the population of Fort Worth, Texas. =9/100(x)

The fraction of the population of Texas that lives in Huston is 9/100x.

Let the population of Texas be represented by x.

Since the state of Texas is about 3/100 of the population lives in the city Fort Wroth and the population of Huston, Texas, is about 3 times the population of Fort Worth, Texas, then the fraction of the population of Texas lives in Huston will be:

= 3/100 × 3 × x

= 9/100 × x

The fraction of the population of Texas that lives in Huston is 9/100x.

Read related link on:

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Answer:

4÷(6+3)

Step-by-step explanation:

6+3 is the sum of a number and 3, and you divide 4 by that.

The algebraic expression represents the statement The quotient of four and the sum of a number and three is 4÷(x + 3).

A finite combination of symbols that are well-formed in accordance with context-dependent principles is referred to as an expression or mathematical expression.

Given:

The quotient of four and the sum of a number and three,

The above statement can be written as,

4÷(x + 3)

Here, x is the number

To know more about the expression:

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Answer:

a

Step-by-step explanation:

-21(-65)

= - 86

A

(0-21(6-71)

(-21-65)=-86

Answer:

12x

Step-by-step explanation:

This is b/2^2, so basically you take the square root of 36 and multiply that value by 2.

so [tex]\sqrt{36}[/tex] = 6(2)=12

Hope this makes sense!

Step-by-step explanation:

First, let's look at some examples of what a perfect square trinomial looks like.  [tex]x^2 + 16x + 64[/tex]

This trinomial is made from:

[tex](x+8)^2[/tex]

So for your second question (x^2 + ___x + 36), we need to work backwards, starting with the last number of the trinomial, 36. Think of two identical numbers that would make 36 if they got multiplied together. Or: √36. Either way, we get 6. So we can put this as a squared binomial.

[tex](x+6)^2[/tex]

Then, we could solve the binomial to get our middle number. (Use FOIL: Multiply the First terms, then Outer terms, then Inner terms, and Last terms)

[tex](x+6)(x+6)[/tex]

[tex]x^2+6x+6x+36\\x^2+12x+36[/tex]

As you can see, our middle number is 12x, and that is what goes into the blank.

Answer: 12x

Answer:

4.5 m

Step-by-step explanation:

The diameter is twice the radius

d = 2r

Divide each side by 2

d/2 = r

9/2 = r

4.5 = r

Answer:

4.5 meters

Step-by-step explanation:

radius is half of the diameter

Answer:

With the information given in the question, the blank spaces are filled thus:

Step-by-step explanation:

1. The intercept is the estimated amount of a purchase, if time spent viewing the online catalog was zero minutes.

2. The slope coefficient is the estimate of amount that a purchase charges/changes, for one extra minute spent viewing the online catalog.

3. The proportion of total variation in purchases that can be explained by variation in the minutes spent viewing an online catalog is equal to the coefficient of determination.

4. The p-value is the probability value

5. Reject the null hypothesis if there is sufficient evidence to support the claim that the regression slope coefficient is not equal to zero.

NOTE: In the case of number 5, the assumption is that;

Null Hypothesis: The regression slope coefficient = 0

Alternative Hypothesis: The regression slope coefficient ≠ 0

Other answers require numerical information and full data, in order to be computed or calculated.

Answer:

12

Step-by-step explanation:

$42.00/($3.50 per gallon) = 12 gallons

Answer:

The value is [tex]P (I | L ) = 0.63[/tex]

The probability has increased

Step-by-step explanation:

From the question we are told that

   The percentage that are from outside the country is  [tex]P(O) = 0.70[/tex]

    The  percentage that logs on everyday is  [tex]P(L) = 0.60[/tex]

    The  percentage that logs on everyday that are from the inside the country is     [tex]P(L | I) = 0.80[/tex]

Generally using Bayes' Rule the probability that a person is from the country given that he logs on the website every day is mathematically represented as

     [tex]P (I | L ) = \frac{P(I)* P(L|I)}{ P(O) *P(L|O) + P(I) *P(L|I) }[/tex]

Where  [tex]P(I)[/tex] is the percentage that are from inside that country which is mathematically represented as

       [tex]P(I) = 1 - P(O)[/tex]

      [tex]P(I) = 1 - 0.70[/tex]

      [tex]P(I) = 0.30[/tex]

And [tex]P(L| O)[/tex] is  percentage that logs on everyday that are from the outside  the country which is evaluated as

      [tex]P(L| O) = 1- P(L| I)[/tex]

       [tex]P(L| O) = 1- 0.80[/tex]

       [tex]P(L| O) = 0.20[/tex]

[tex]P (I | L ) = \frac{ 0.3* 0.80 }{ 0.7 *0.20 + 0.3 * 0.8 }[/tex]    

[tex]P (I | L ) = 0.63[/tex]

Given that the percentage that are from inside that country is  [tex]P(I) = 0.30[/tex]

and that the probability that a person is from the country given that he logs on the website every day is  [tex]P (I | L ) = 0.63[/tex]

We see that the additional information increased the probability

Answer:

Step-by-step explanation:

GIven that:

The set is :  {l, 2, 3, 4.5.6}

To Prove that:

If four numbers are to be chosen , at least one pair of the selected numbers must add up to 7

From the data set given, this set has three pairs of number which can add up to 7. These are:

{1, 6}  i.e 1 + 6 = 7

{2,5}  i.e  2+ 5 = 7

{3,4}  i.e  3 + 4 = 7

So, if four number are chosen from the set that contains six numbers, then that the possibility for such to occur is either by selecting two pairs out of the three pairs or one pair and two numbers.

Thus, in both cases, at least one pair of the selected numbers must add up to 7.

Hi there! :)

Answer:

D. 1980°

Find the sum of the measure of a 13-sided polygon using the formula:

Sum = 180(n-2), where n = number of sides

Therefore:

S = 180(13 - 2)

S = 180(11)

S = 1980°

Answer:

x=30

Step-by-step explanation:

[tex]\frac{4}{5}=\frac{20}{x-5} \\\\4(x-5)=20*5\\\\4x-20=20(5)\\\\4x=20(5)+20(1)\\\\4x=20(5+1)\\\\4x=20(6)\\\\x=\frac{20(6)}{4} \\\\x=5*6\\\\x=30[/tex]

[tex] \frac{4}{5} = \frac{20}{(x - 5)} [/tex]

By Cross-multiplication

[tex] \implies4 \times (x - 5) = 20 \times 5[/tex]

[tex] \implies4x - 20 = 100[/tex]

[tex] \implies4x = 100 + 20[/tex]

[tex] \implies4x = 120[/tex]

[tex] \implies \: x = \cancel \frac{120}{4} [/tex]

[tex] \implies \: x = 30[/tex]

Answer:

look it up on brainly then you'll get it

Step-by-step explanation:

yes you really will

Answer:

17°

Step-by-step explanation:

Using trigonometrical ratios we have a triangle with opposite of A° as 7cm and adjacent A° as 24cm as drawn in the above diagram.

Using trigonometry the value to be used is Tangent due to the availability of only the opposite and adjacent sides.

tan = opp/adj

tan x(x is the angle) = 7/24

tan x = 0.2917 ~= 0.3

tan x = 0.3

x = tan^-1 0.3

x = 16.7 ~= 17°.

Answer:

Hey there!

8 is the correct answer.

It is 16 times greater than the digit to it's right.

Let me know if this helps :)