If triangle HBN ~ triangle LYR, find the values of X. PLEASE HELP

Answer:

a

  point estimate  is   [tex]\r p = 0.355[/tex]  i.e 35.5 %

  confidence interval  is  [tex]0.3081 < p<0.4019[/tex]

b

  point estimate  is   [tex]\r p = 0.244[/tex]  i.e 24.4 %

   confidence interval   [tex]0.2064 < p<0.2816[/tex]

c

 The confidence intervals you computed in parts a and b does not suggest that a greater number of U.K. ads use humor

Step-by-step explanation:

Considering the first question

   The  sample size is n  =  400

   The  number of ads that use humor is  k =  142

Generally the  point estimate is mathematically represented as

       [tex]\r p = \frac{k}{n}[/tex]

=>     [tex]\r p = \frac{142}{400}[/tex]

=>     [tex]\r p = 0.355[/tex]

Given that the confidence level is  95% then the level of significance is

      [tex]\alpha =( 100 -95)\%[/tex]

=>    [tex]\alpha =5\%[/tex]

=>    [tex]\alpha =0.05[/tex]

From the normal distribution table the critical value for [tex]\frac{\alpha }{2}[/tex] is  

        [tex]Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} } = 1.96[/tex]

Generally the standard error is mathematically represented as

       [tex]SE = \sqrt{\frac{\r p(1 - \r p)}{n} }[/tex]

=>    [tex]SE = \sqrt{\frac{0.355(1 - 0.355)}{400} }[/tex]

=>    [tex]SE = 0.0239[/tex]

Generally the margin of error is mathematically represented as

      [tex]E = Z_{\frac{\alpha }{2} } * SE[/tex]

      [tex]E = 1.96 * 0.0239[/tex]

      [tex]E = 0.0469[/tex]

Generally the 95% confidence interval is  

      [tex]\r p - E < p < \r p + E[/tex]

=>   [tex]0.355 - 0.0469 < 0.355 + 0.0469[/tex]

=>    [tex]0.3081 < p<0.4019[/tex]

Considering the second question

   The  sample size is n  =  500

   The  number of ads that use humor is  k =  122

Generally the  point estimate is mathematically represented as

       [tex]\r p = \frac{k}{n}[/tex]

=>     [tex]\r p = \frac{122}{500}[/tex]

=>     [tex]\r p = 0.244[/tex]

Generally the standard error is mathematically represented as

       [tex]SE = \sqrt{\frac{\r p(1 - \r p)}{n} }[/tex]

=>    [tex]SE = \sqrt{\frac{0.244(1 - 0.244)}{500} }[/tex]

=>    [tex]SE = 0.0192[/tex]

Generally the margin of error is mathematically represented as

      [tex]E = Z_{\frac{\alpha }{2} } * SE[/tex]

      [tex]E = 1.96 * 0.0192[/tex]

      [tex]E = 0.0376[/tex]

Generally the 95% confidence interval is  

      [tex]\r p - E < p < \r p + E[/tex]

=>   [tex]0.244 - 0.0376 < 0.244 + 0.0376[/tex]

=>    [tex]0.2064 < p<0.2816[/tex]

Considering third question

  Looking at the confidence interval in a(first question ) and  b(second question)  we see that the upper limit of both interval is not up to or greater than   0.5 i.e 50% hence the confidence intervals you computed in parts a and b does not suggest that a greater percentage of U.K ads uses humor

Answer:

20.5 hours

Step-by-step explanation:

143.50/7=20.5

Hope this helps and can I have brainliest!

Answer:

Step-by-step explanation:

in the expression f(x), x is just a place holder. It can be replaced with any value you choose.

f(t-4) = 7(t-4) - (t-4)^2

f(p+4) = 7(p+4) - (p+4)^2

f(a+h)-f(a) = 7(a+h)^2 - (a+h)^2 - (7a-a^2)

f(t-1)+c = 7(t-1) - (t-1)^2 + c

f(a)+8 = 7a - a^2 + 8

you can simplify these some

Answer:

A. 300

Step-by-step explanation:

Answer: 300 kilometers per hour

Step-by-step explanation: :)

Answer:

0.4 divided by 10

Step-by-step explanation:

Answer: This is the result of 0.04/8

Step-by-step explanation

Answer:

0

Step-by-step explanation:

f(-1) is when x = -1

When x = -1, f(x) = 0.

Answer:

1. diagram in the attachment

2. AB = 32.3 ft

Step-by-step explanation:

2. from the diagram:

[tex]sin \theta = \frac{opposite}{hypotenuse}\\sin (8) = \frac{4.5}{AB} \\AB = \frac{4.5}{sin(8)} \\AB = \frac{4.5}{0.1392} \\AB = 32.33ft[/tex]

Answer:

-21

Step-by-step explanation:

when y-20 and ×=5 you giving the answer -21 of x because the dividend variable would have to be subtracted from negative -20y from positive five

Answer:

x= -3

Step-by-step explanation:

−2(8x−1)=5(1−3x)

Step 1: Simplify both sides of the equation.

−2(8x−1)=5(1−3x)

(−2)(8x)+(−2)(−1)=(5)(1)+(5)(−3x)(Distribute)

−16x+2=5+−15x

−16x+2=−15x+5

Step 2: Add 15x to both sides.

−16x+2+15x=−15x+5+15x

−x+2=5

Step 3: Subtract 2 from both sides.

−x+2−2=5−2

−x=3

Step 4: Divide both sides by -1.

−x

−1

=

3

−1

x=−3

Answer:

6

Step-by-step explanation:

b(x) = |x + 4|

b(-10) = |-10 + 4|

b(-10) = |-6|

b(-10) = 6

Best of Luck!

Answer:

A

Step-by-step explanation:

The higher you are the cooler it gets, that's why there's snow on mountains

Answer: A I think it's A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yesenia's solution is as followed.

                   Step                                  Justification

1). -4(3x - 1) = 12 - 4x                     1). Original equation

2). 3x - 1 = -3 + x                          2). Distributive property

3). 3x + 2 = x                                3). Addition Property of equality

4). 2 = -2x                                     4). Subtraction property of equality

5). -1 = x                                        5). Division property of equality  

Answer:

265.65

Step-by-step explanation:

6.25*8 =50

6.25/2=3.13

50+3.13=53.13

53.13*5=265.65

Answer:

$265.63 or ($265.625)

Step-by-step explanation:

So we wanna find out the total money bob would make :P

First we wanna see how much bob makes in a day

Bob works 8.5 hours a day and get 6.25 every hour:

With this info we can make the expression: 8.5 * 6.25 which equals 53.125

Then we wanna find out how much he makes in a 5 day week so:

We can make the equation 53.125 * 5 which equals 265.625

We can round 265.625 to 265.63

Answer:

4

Step-by-step explanation:

I'm going to assume you mean [ m + 2 = 6 ]

m + 2 = 6

~Subtract 2 to both sides

m = 4

Best of Luck!

Answer: 1 banana bread and 5 poppy seed almond breads

               6 banana breads and 8 poppy seed almond breads

Answer:

D. 34.8+b=54.6

Step-by-step explanation:

Answer:

2. f(x) is a one-to-one function.

Step-by-step explanation:

If a relation passes the vertical line test, it is a function.

If a relation passes the vertical line test and the horizontal line test, then it is a one-to-one function, and its inverse is also a function.

Answer: 2. f(x) is a one-to-one function.

Answer:

4

Step-by-step explanation:

0.6 x 4 is 2.4

Answer:

It is B.

Step-by-step explanation:

A C is anything between 73-76 %, while a B is anything between 83-86 %

Answer:

The correct option is (d) a student needs to take 10 dance classes to learn the routine.

Step-by-step explanation:  Given that each dance class is  hour and a student takes  hours to learn a dance routine.

We are to select the TRUE statement.

Duration of each dance class is given by

and the time taken by a student to learn a dance routine is given by

Therefore, the number of dance class that a students needs to learn the dance routine will be

Thus, a student needs 10 dance classes to learn the dance routine.

Option (d) is CORRECT.

Step-by-step explanation:

Answer:

M<XQL=118°

Step-by-step explanation:

209-13b=146-4b

209-146=-4b+13b

63=9b

b=7

<XQL=209-13b=

209-13(7)=

209-91=

118

Answer:

x = [tex]\frac{17}{14}[/tex]

Step-by-step explanation:

simplify both sides of the equation

-9x + 10 - 5x = - 7

-9x + 10 + - 5x = -7

(-9x + -5x) + (10) = -7 (combine like terms)

-14x + 10 = -7

subtract 10 from both sides

-14x + 10 - 10 = -7 - 10

-14x = -17

divide both sides by -14

[tex]\frac{-14x}{-14}[/tex] = [tex]\frac{-17}{-14}[/tex]

x = [tex]\frac{17}{14}[/tex]

Given that,

Series 1: 3, 5.5, 8..... and series 2: 33/2, 57/2, 81/2.

To find,

The value of n.

Solution,

Let n is the no of terms in both the series.

For 3, 5.5, 8

First term, a = 3 and common difference d = 2.5

Sum of n terms of a series is given by :

[tex]S=\dfrac{n}{2}(2a+(n-1)d)[/tex]

So,

[tex]S=\dfrac{n}{2}(2\times 3+(n-1)2.5)\\\\S=\dfrac{n}{2}(6+2.5(n-1))\ ....(1)[/tex]

For 33/2, 57/2, 81/2

First term, a = 33/2 and common difference, d = 12

nth term of a series is given by :

[tex]a_n=a+(n-1)d[/tex]

For 2nd terms,

[tex]a_2=\dfrac{33}{2}+(2-1)\times 12\ ....(2)[/tex]

According to question, sum of the first n terms of the arithmetical progression 3, 5.5, 8. .... is equal to the 2nth term of the arithmetic  progression 33/2, 57/2, 81/2

From equation (1) and (2) :

[tex]\dfrac{n}{2}(6+2.5(n-1))=\dfrac{33}{2}+ 12\\\\\dfrac{n}{2}(6+2.5(n-1))=\dfrac{57}{2}\\\\n(6+2.5(n-1))=57\\\\6n+2.5n^2-2.5n-57=0\\\\2.5n^2+2.5n-57=0\\\\\text{On solving the above quadratic equation, we get the value of x as follows :}\\\\x=4.126,-5.526[/tex]

Neglecting the negative value, we get the value of n = 4.126

or

n = 4

Hence, the value of n is 4.

Answer:

Step-by-step explanation:

Given

Same in interval notation

Answer:

  $542.50

Step-by-step explanation:

Isaiah's weekly earnings will be ...

  ($15.50 /h)(35 h/wk) = $542.50 /wk

Answer:

Step-by-step explanation:

121=irrational

100= rational

99= irrational

10=rational

Answer:

nearest integer 27 by 4

Answer:

102 people

Step-by-step explanation:

Hope this helps :-)

Answer:

Converges

Step-by-step explanation:

g(x) = 1/eˣ = (1/e)ˣ

This is a geometric series. │1/e│< 1, so the series converges.

f(x) = 1 / (√x + eˣ), so f(x) < g(x).  Therefore, if g(x) converges, then f(x) also converges.