find the next two terms of this sequence.please help.

Using the sample data to test the hypothesis, we have that:

77% of the sample of 1176 adults rated themselves as above average drivers, that is:

[tex]0.77(1176) = 906[/tex].

Thus, the actual number of respondents who rated themselves as above average drivers is 906.

At the null hypothesis, we test if the proportion is [tex]\displaystyle \frac{7}{10} = 0.7[/tex], that is:

[tex]H_0: p = 0.7[/tex]

At the alternative hypothesis, we test if the proportion is greater than 70%, that is:

[tex]H_1: p \geq 0.7[/tex]

The test statistic is given by:

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

In which:

In this problem, the parameters are [tex]\overline{p} = 0.77, p = 0.7, n = 1176[/tex].

Thus, the value of the test statistic is:

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

[tex]z = \frac{0.77 - 0.7}{\sqrt{\frac{0.7(0.3)}{1176}}}[/tex]

[tex]z = 5.24[/tex]

The p-value of the test is the probability of finding a sample proportion above 0.77, which is 1 subtracted by the p-value of z = 5.24.

Looking at the z-table, z = 5.24 has a p-value of 1.

1 - 1 = 0.

The p-value of the test is 0, which is less than the standard significance level of 0.05, thus we can conclude that the proportion respondents who rated themselves as above average drivers is greater than 0.7.

A similar problem is given at https://brainly.com/question/24330815

Answer:

:P

Step-by-step explanation:

:P

Answer:

how many boxes is the line on

The sample space is used to prepare a list of all possible outcomes or element in an experiment. The sample space containing all elements attainable for the number of working pumps at a particular station is listed below :

Let the number of pumps in use at each station be listed on the row and column respectively :

P1/P2_0 _ 1__ 2 __ 3 __ 4 __ 5 __ 6

0__ 0,0 _0,1 _0,2 _0,3 __0,4_ 0,5_0,6

1__ 1,0 __1,1 _1,2 __1,3 __1,4 __1,5_ 1,6

2__2,0 _2,1 _2,2 _2,3 __2,4 __2,5_2,6

3__3,0_3,1 _3,2 _ 3,3 __3,4 __3,5 _3,6

4__4,0_4,1 _4,2 _ 4,3 __4,4 __ 4,5 _4,6

5__5,0_5,1 _5,2 _ 5,3 __5,4 __ 5,5 _5,6

6__6,0_6,1 _6,2 _ 6,3 __6,4 __ 6,5 _6,6

Therefore, all possible outcomes relating to the number of working pumps are available in the sample space created.

Learn more :https://brainly.com/question/18405415

[tex]\large\underline{\sf{Solution-}}[/tex]

We have to prove that:

[tex]\rm\longmapsto \dfrac{ \sin(x) - 2 \sin^{3} (x) }{2 \cos^{3} (x) - \cos(x) } = \tan(x) [/tex]

Taking LHS, we get:

[tex]\rm = \dfrac{ \sin(x) - 2 \sin^{3} (x) }{2 \cos^{3} (x) - \cos(x) }[/tex]

We can take sin(x) as common from numerator part. We get:

[tex]\rm = \dfrac{ \sin(x) \{1- 2 \sin^{2} (x) \}}{2 \cos^{3} (x) - \cos(x) }[/tex]

Similarly, we can take cos(x) as common from first two terms. We get:

[tex]\rm = \dfrac{ \sin(x) \{1- 2 \sin^{2} (x) \}}{ \cos(x) \{ 2 \cos^{2} (x) -1\}}[/tex]

[tex]\rm = \dfrac{ \sin(x) }{ \cos(x) } \cdot \dfrac{\{1- 2 \sin^{2} (x) \}}{\{ 2 \cos^{2} (x) -1\}}[/tex]

As we know that:

[tex]\rm\longmapsto \dfrac{ \sin(x) }{ \cos(x) } = \tan(x) [/tex]

We get:

[tex]\rm = \tan(x) \cdot \dfrac{\{1- 2 \sin^{2} (x) \}}{\{ 2 \cos^{2} (x) -1\}}[/tex]

Now, we will expand the terms in fraction:

[tex]\rm = \tan(x) \cdot \dfrac{\{1- \sin^{2} (x) - { \sin }^{2}(x) \}}{\{\cos^{2} (x) + \cos^{x}(x) -1\}}[/tex]

As we know that:

[tex]\rm \longmapsto \sin^{2}(x)+cos^{2}(x)=1[/tex]

[tex]\rm \longmapsto\cos^{2}(x)=1-sin^{2}(x)[/tex]

[tex]\rm \longmapsto\cos^{2}(x) - 1=-sin^{2}(x)[/tex]

Now substitute the values in the expression, we get:

[tex]\rm = \tan(x)\cdot \dfrac{ \cos^{2} (x)-{ \sin }^{2}(x)}{\cos^{2} (x) - \sin^{2} (x) }[/tex]

[tex]\rm = \tan(x)\cdot1[/tex]

[tex]\rm = \tan(x)[/tex]

Here, we notice that LHS = RHS

Proved.

Answer:

In this case, the equation that models the value of an initial investment of P dollars in t years at an annual interest rate of r is given by A = Pert.

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

8x10= 80

[tex]\\ \sf\longmapsto sin\Theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\\ \sf\longmapsto sinR=\dfrac{ST}{RT}[/tex]

[tex]\\ \sf\longmapsto sinR=\dfrac{16}{20}[/tex]

Option B

Answer:

about 70 cans

Step-by-step explanation:

493÷7=70.42

Your answer makes sense. Though I would recommend using a different variable for each dog at the kennel. Like D. But other than that you're good!

Answer: 50! = 3.0414093e+64.       4!= 24.     46!=5.5026222e+57

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

You have the relation ...

  (left side number) × (top number) = (number in the area box)

This means ...

  (top number) = (number in the area box)/(left side number)

  top number = 680/17 = 40 . . . number in the quotient box

and ...

  17 × 8 = number in the area box = 136

__

The number in the right-side box is the remainder, the difference between the dividend 820 and the sum of the numbers in the other two area boxes.

  820 -680 -136 = 4 . . . . number in the right-side box

Answer:

1. 6.25 square feet

2. 37.5 square feet

Step-by-step explanation:

25 divided by 4=6.25

6.25x6=37.5

Answer:

Length of his bedroom is 5 Ft

Wall Surface he have in his room is 120 ft^2

Step-by-step explanation:

Answer:

30× 60 ( 3×2= 6 + tens= 60 )= minimum- 180 fery

Answer:

1/5

Step-by-step explanation:

hope this helps!

Answer:

C

Step-by-step explanation:

Answer:

It's option 3

Step-by-step explanation:

Answer:

44 teaspoons

Step-by-step explanation:

33 divided by 3 is 11 and 4 x 11 is 44 if juan used 4 teaspoons of sugar every 3 cups of flour then 3 goes into 33    11 times and 4 x 11= 44

De acuerdo con los cálculos realizados en el presente desarrollo, el valor del número menor es 233.

Dado que la suma de cuatro números consecutivos es 938, para determinar cuál es el valor del número menor se debe realizar el siguiente cálculo:

Por lo tanto, el valor del número menor es 233.

Aprende más en https://brainly.com/question/12980784

Answer:

Step-by-step explanation:

f(x) = -x^2+6x-2

-x^2+6x-2  here we use work sheets or log books

Answer:

11p^(13)

10m^(15)

Step-by-step explanation:

11×11=121 so sqrt(121)=11

Since 26/2=13, then p^(13)×p^(13)=p^(26). This implies sqrt(p^26)=p^13.

sqrt(121p^26)=11p^(13)

In short, you just find sqrt of 121 since 121 is a perfect square and then do p^(26/2) since 26 is even and be done.

Other problem is similar.

Sqrt(100)=10 and m^(30/2)=m^(15).

The answer is 10m^(15).

Answer:

2/3

Step-by-step explanation:

3+6t=3t+5

like terms together

6t-3t=5-3

3t=2

t=2/3

Answer:

Slope = - 5

Step-by-step explanation:

Let,

x1 = 13

x2 = 14

y1 = 11

y2 = 6

Formula : -

Slope = ( y2 - y1 ) / ( x2 - x1 )

Slope = ( 6 - 11 ) / ( 14 - 13 )

          = - 5 / 1

Slope = - 5

Answer:

[tex]\boxed{\sf slope:-5}[/tex]

Step-by-step explanation:

Slope :

[tex]\boxed{\sf m=\cfrac{rise}{run} =\cfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\sf ^*m=slope[/tex]

[tex]\sf (x_1, y_1): first \: coordinates[/tex]

[tex]\sf (x_2, y_2): second\: coordinates[/tex]

___________________

[tex]\sf \left(x_1,\:y_1\right):\left(13,\:11\right)[/tex]

[tex]\sf \left(x_2,\:y_2\right):\left(14,\:6\right)[/tex]

[tex]\sf slope\:(m)=\cfrac{6-11}{14-13}[/tex]

[tex]\sf slope\:(m)=-5[/tex]

____________________

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's solve for a :

Answer:

$44.40

Step-by-step explanation:

100%-70%=30%

30/100x148=44.40 (discounted price)

Appreciate to be marked brainliest. Hope this helps!

Answer:

Vendor I sells more by 0.05

Step-by-step explanation:

First, you do Vendor I, divide 38.70/5, which gives you $7.74.

Then, you go to Vendor 2, divide 30.76/4 and that makes the answer $7.69.

7.74 - 7.69 = 0.05

Vendor 1 has more then Vendor 2 by 5 cents.

Answer:

45

Step-by-step explanation:

Answer:

$5.38 per pound

Step-by-step explanation:

70/13=5.384615

5.38x13=69.94