The given graph shows the cigarette consumption (in billions) in the United States for the years 1900 to
2007
Choose the best estimate for the number of cigarettes smoked in 2000.
420 billion
Qi 400 billion
380 billion
450 billion

Complete Question

The  complete question is shown on the first uploaded image  

Answer:

The  95% confidence interval is  [tex]-0.00870 <p_1 -p_2 < -0.007297[/tex]

Step-by-step explanation:

From the question we are told that

     The first sample  size  is  [tex]n_1 = 1068000[/tex]

     The first proportion  [tex]\r p_1 = 0.084[/tex]

     The second  sample size is  [tex]n_2 = 1476000[/tex]

     The  second  proportion is  [tex]\r p_2 = 0.092[/tex]

Given that the confidence level is  95%  then the level of significance is mathematically represented as

      [tex]\alpha = (100 - 95)\%[/tex]

     [tex]\alpha = 0.05[/tex]

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

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

Now using the formula from the question to construct the 95% confidence interval we have  

  [tex](\r p_1 - \r p_2 )- z_c \sqrt{ \frac{\r p_1 \r q_1 }{n_1} + \frac{\r p_2 \r q_2 }{n_2} } <p_1 -p_2 < (\r p_1 - \r p_2 )+ z_c \sqrt{ \frac{\r p_1 \r q_1 }{n_1} + \frac{\r p_2 \r q_2 }{n_2} }[/tex]

Here [tex]\r q_1 = 1 - \r p_1[/tex]

  =>   [tex]\r q_1 = 1 - 0.084[/tex]

 =>    [tex]\r q = 0.916[/tex]

and  

   [tex]\r q_2 = 1 - \r p_2[/tex]

 =>   [tex]\r q_2 = 1 - 0.092[/tex]

=>   [tex]\r q_2 = 0.908[/tex]

So  

 [tex](0.084 - 0.092 )- (1.96)* \sqrt{ \frac{0.092* 0.916 }{1068000} + \frac{0.084* 0.908 }{1476000} } <p_1 -p_2 < (0.084 - 0.092 )+ (1.96)* \sqrt{ \frac{0.084* 0.916 }{1068000} + \frac{0.092* 0.908 }{1476000} }[/tex]

  [tex]-0.00870 <p_1 -p_2 < -0.007297[/tex]

Answer:

25) -76

26) -23

27) 21

28) 8

Step-by-step explanation:

25) (-32)-44=-32-44=-76

26) (-12)+(-11)=-12-11=-23

27) 2+15+4=17+4=21

28) 16+(-13)+5=16-13+5=3+5=8

Step-by-step explanation:

Hope it helps u mate

plz mark it as brainlist

Answer:

g(x)= (x +1)^2 -2

Step-by-step explanation:

Answer:

hexagon; not regular

Step-by-step explanation:

hope this helps

Answer:

first option is right

Step-by-step explanation:

Answer: -2

Step-by-step explanation:

-2 - 7 = -9

Answer:

[tex]\Huge \boxed{c=-2}[/tex]

Step-by-step explanation:

[tex]c-7=-9[/tex]

We need to isolate the [tex]c[/tex] variable on one side of the equation.

Adding 7 to both sides of the equation.

[tex]c-7+7=-9+7[/tex]

Simplifying the equation.

[tex]c=-2[/tex]

Answer:

[tex]\frac{-8 +2\sqrt{3} }{3}[/tex]

Step-by-step explanation:

When working with surds we need to take note of the roots present there.

To expand this equation we can do it the following way noting that √3 X √3 = 3

Expanding (1-√3)(⅓+√3)

1 X 1/3 = 1/3

1 X √3 = √3

-√3 X 1/3 =-√3/3

√3 X √3 = 3

hence, expanding the equation, we have

1/3 + √3 -√3/3 + 3

We can simply group the like terms and add them up.

[1/3 +3] +[√3-√3/3]

10/3 + [tex]\frac{2\sqrt{3} }{3}[/tex]

= [tex]\frac{-8 +2\sqrt{3} }{3}[/tex]

Answer:

x = 100

Step-by-step explanation:

All you need is contained in the sheet attached

Answer:

x = 100

Step-by-step explanation:

3 log2(x) - 2 log2(5x) = 2

We know that a log(c) = log c^a

log2(x)^3 - log2(5x)^2 = 2

log2(x^3) - log2(25x^2) = 2

We know that log a - log b = log a/b

log2(x^3 /25x^2) = 2

Simplify

log2(x /25) = 2

Raise each side to  base 2

2^log2(x /25) = 2^2

x/25 = 4

Multiply each side by 25

x = 4*25

x = 100

Answer:

24,300

Step-by-step explanation:

So on Thursday you have 300 next day it's 900 bc 300x3=900

Friday: 900x3=2,700

Saturday: 2,700x3=8,100

Sunday: 8,100x3=24,300

Answer:

parameter

Step-by-step explanation:

Answer:

  -7

Step-by-step explanation:

As x increases by 1, y decreases by 7, so the "rise"/"run" is ...

  slope = rise/run = -7/1 = -7

Answer:

£11564.54

Step-by-step explanation:

100 + 3.3 = 103.3%

103.3% = 1..013

£11125 x 1.013^3 = £11564.54

I hope this helped you!

Answer:

45

Step-by-step explanation:

m<1 and m<2 are complementary angles because the sum of two angles = 90° and since m<1 = m<2

90 ÷ 2 = 45

Answer:

RU = 9

ST = 3

Step-by-step explanation:

RT = 6

RS = ST = (1/2)RT = (1/2)(6) = 3

ST = 3

RU = 3ST = 3 * 3 = 9

Answer:

2

Step-by-step explanation:

-7 - (-8) = 1

1 + (-3) = -2

-2 + 6 = 4

4 - 2 = 2

Answer:

2

Step-by-step explanation:

Start by removing the parentheses appropriately:

-(-8) = +8, and

+(-3) = -3

Then

-7 - (-8) + (-3) + 6 - 2  =  -7 + 8 - 3 + 6 - 2

Now, working from left to right, we perform the indicated operations:

-7 + 8 comes out to 1, and so we have 1 - 3 + 6 - 2.

Continuing, we get -2 + 6 - 2, or 4 - 2, or 2

Answer:

Step-by-step explanation:

12.4% 153000 = 12.4/ 100  * 153000 = 0.124 * 153000 = 1897

84.1% 153000 = 84.1/100 * 153000 = 0.841 * 153000 = 128673

The difference (and the answer) is  128673 - 1897 = 126776

Note: 3.5% are not accounted for. They probably just sat down and wrote.

Answer:

That's my slovings for your question

Answer:

671/1296

The probability of rolling at least one six is therefore 1 − 625/1296 = 671/1296 ≈ . 517.

Step-by-step explanation:

Answer:

671/1296

Step-by-step explanation:

Answer:

The answer is

Step-by-step explanation:

To find an equation of a line given a point and slope we use the formula

y - y1 = m(x - x1)

where

m is the slope

(x1 , y1) is the point

From the question

slope = 4

point = ( 3 , - 2)

Substitute the values into the above formula

We have

Hope this helps you

Answer:

y+

Step-by-step explanation:

Point-Slope form- (y − y 1) = m ⋅ (x − x 1)

Slope: m = 4

Point: (x1, y1) = (3, -2)

Answer: y + 2 = 4 ⋅ (x - 3)

Answer:

1 - p

Step-by-step explanation:

So the answer is:

Answer:

1-p

Step-by-step explanation:

I took the test and this was the answer.

Answer:

14.74%

Step-by-step explanation:

The formula for ANNUAL PERCENTAGE YIELD (APY) for an account that is COMPOUNDED CONTINUOUSLY is given as

APY = Pe^rt - 1

Where P = Principal

e = exponential

r = rate

t = time

Since Principal and Time was not given in the question,

APY = e^r - 1

r = 13.75% = 0.1375

APY = e^0.1375 - 1

APY = 1.147401706 - 1

APY = 0.147401706

Converting to percentage

= 0.147401706 × 100

= 14.7401706%

Approximately to 2 decimal places: 14.74%

Therefore, the annual percentage yield is 14.74%

Answer:

b = [tex]\frac{ln190}{ln200}[/tex]

Step-by-step explanation:

Using the rule of logarithms

log [tex]x^{n}[/tex] ⇔ nlogx

Given

190 = [tex]200^{b}[/tex] ( take the natural log ln of both sides )

ln190 = ln[tex]200^{b}[/tex] = bln200 ( divide both sides by ln200 )

[tex]\frac{ln190}{ln200}[/tex] = b

Answer:

7

Step-by-step explanation:

Given the following data:

Average speed : 60.5, 63.2, 54.7, 51.6, 72.3, 70.7, 67.2, and 65.4

To construct a one-sample t - statistic, the value of the degree of freedom will be ;

In a one sample test of known mean, if the number of observations are 4, one can choose to vary at most three of the observations and still obtain the mean, that is the 4th observation must remain fixed.

Degree of freedom = Number of observations (n) - 1. This is the maximum number of independent variables which can be varied.

Nunber of observations or sample size in the data above is 8

Hence,

Degree of freedom = (8 - 1) = 7

Answer:the anwser is 7

Step-by-step explanation:

Answer: y = 3x + 7

Step-by-step explanation:

Since we are given the slope and y intercept we could write the equation in slope intercept form as y=mx +b .Only m and b are needed to write the equation.M is the slope and B is the y intercept.

Answer:

y=3x+7

Step-by-step explanation:

The equation of a line in slope-intercept form is:

y=mx+b

where m is the slope and b is the y-intercept.

We know the slope is 3, so we can substitute 3 in for m.

y=3x+b

We also know the y-intercept is (0,7). When writing the equation of a line in this form, we can ignore the x-coordinate of 0. Therefore, the y-intercept is also just 7. Substitute 7 in for b.

y=3x+7

The equation of a line with a slope of 3 and a y-intercept of (0,7) is y=3x+7

Answer:

probability that the sample mean will be between 166.75 and $170.50 = 0.42816

Step-by-step explanation:

We are given;

Mean; μ = $178

Standard deviation; σ = $50

Now, we want to find the probability that the sample mean will be between $166.75 and $170.50.

Thus, we'll use the z-score formula;

z = (x - μ)/σ

So;

Lower limit of z is;

z = (166.75 - 178)/50

z = -0.225

Upper limit of z is;

z = (170.50 - 178)/50

z = -0.15

From the z-distribution table attached, the area between -0.225 and -0.15 is;

0.44038 - 0.01222 = 0.42816

Answer: There are 1000 different passwords.

Step-by-step explanation:

Given: A password contains three digits.

Number of digits from 0 to 9  = 10

Using fundamental principle of counting,

The number of different passwords = (Number of choices for digits) x (Number of choices for digits)  x (Number of choices for digits)

= (10) x (10)x (10)

=1000

Hence, there are 1000 different passwords.

Answer:

y = 10x, which is the relationship between two 7 in the number 3772

Step-by-step explanation:

In the given number 3772

3 is at thousandth position its value is 3000 numerically

7 is at the hundredth position its value is 700 numerically

next 7 is at tens position its value is 70 numerically

and 2 is at unit position its value is 2 numerically

thus, 3772 can also be written as sum  of number based on its position

3000

+700

+  70

+    2

___-

= 3772

Thus,

since Third 7 from left  has value of 70

and Second 7  from left  has value of 700

we know 70*10 = 700

Thus, 70 is 10 times to that 700

Thus, we can say that

value of Second 7  from left = 10*value of Third 7  from left

Thus,

let value of Second 7  from left be y

value of Third 7  from left  be x

then

y = 10x, which is the relationship between two 7 in the number 3772

Answer:

C

Step-by-step explanation:

Note that the right triangle has two tick marks.

This means that the sides are equivalent.

Therefore, this is a 45-45-90 triangle.

In a 45-45-90 triangle, the side lengths are n, and the hypotenuse is n√2

Since n is 5√2, then the hypotenuse x is n√2. Thus:

[tex]x=n\sqrt2\\x=(5\sqrt2)\sqrt2[/tex]

Simplify:

[tex]x=5(2)=10[/tex]

The answer is C :)