The report "The New Food Fights: U.S. Public Divides Over Food Science" states that younger adults are more likely to see foods with genetically modified ingredients as being bad for their health than older adults. This statement is based on a representative sample of 178 adult Americans aged 18 to 29 and a representative sample of 427 adult Americans aged 50 to 64. Of those in the 18 to 29 age group, 48% said they believed these foods were bad for their health, while only 3% of those in the 50 to 64 age group believed this.
(a) Are the sample sizes large enough to use the large-sample confidence interval to estimate the difference in the population proportions?
(b) Estimate the difference in the proportion of adult Americans aged 18 to 29 who believe the foods made with genetically modified ingredients are bad for their health and the corresponding proportion for adult Americans aged 50 to 64. Use a 90% confidence interval.
(c) Is zero in the confidence interval?

Answer:

(1.307 ; 3.893)

Step-by-step explanation:

Given that:

Mean, xbar = 2.6

Standard deviation, s = 0.69

Sample size, n = 5

Confidence interval : xbar ± margin of error

Margin of Error = Tcritical * s/sqrt(n)

Degree of freedom (df) = n - 1 = 5 - 1 = 4

Hence Tcritical = 3.747

Margin of Error = 3.747 * 0.69/sqrt(4)

Margin of Error = 1.293

Lower boundary = (2.6 - 1.293) = 1.307

Upper boundary = (2.6 + 1.293) = 3.893

(1.307 ; 3.893)

9514 1404 393

Answer:

  tan(θ) = 4/3

Step-by-step explanation:

The relationship between secant and tangent is ...

  1 +tan² = sec²

The the tangent of the angle is ...

  tan(θ) = √(sec²(θ) -1)

  tan(θ) = √((5/3)² -1) = √(16/9)

  tan(θ) = 4/3

Answer:

Part A:

A,C

Part B:

B,C

Step-by-step explanation:

For drawing the graph , we Firstly need to find the equation of the line . We can find the line using Slope intercept form . Here ,

We know slope intercept form as ,

[tex]\implies y = mx + c \\\\\implies y = (3)x + (-6) \\\\\implies \boxed{\boxed{y = 3x - 6 }}[/tex]

Now we need to plot the graph of y = 3x -6. Refer to attachment for graph .

Answer:

70,176

Step-by-step explanation:

Given that

482 - 412 + 286 - 12 × 204

We need to solve the above equation

= 482 - 412 + 286 - 12 × 204

= 70 + 286 - 12 × 204

= 356 - 12 × 204

= 344 × 204

= 70,176

Hence, the answer to the given equation is 70,176

The same is to be considered and relevant

Answer:

B.

Step-by-step explanation:

Center is the point that does not change and that point is A. To find the scale factor you just divide the translated length by the original, in this case, 8÷2 which gives a scale factor of 4.

The probability that Luca will win Wheel of Letters for this considered case is 6/13

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For this case, the sample space of result of wheel of letters spin is

S = {A, B, ..., Z} , thus, n(S) = size of S = 26

Let E = event that the spinner will stop in one of the letters in  “COUNTRY PHRASE”

Then, the outcomes in favor of E are {'P', 'O', 'C', 'A', 'T', 'R', 'Y', 'N', 'H', 'S', 'U', 'E'}

Thus, n(Favorable cases for E) = 12 (counted unique ones, and not repeated), as each letter is only 1 time in the spinner.

Thus, we get:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{12}{26} =\dfrac{6}{13}[/tex]

Thus, the probability that Luca will win Wheel of Letters for this considered case is 6/13

Learn more about probability here:

brainly.com/question/1210781

Answer: (40x)+500

Step-by-step explanation:

Answer:

80 degrees

Step-by-step explanation:

The only given angle here is angle 4, which measures 100 degrees.

1) Identify angle relationships

Angle 4 and angle 6 are interior angles, meaning they have a sum of 180 degrees.

2) Solve for angle 6

180-Angle 4=Angle 6

180-100=Angle 6

80=Angle 6

Therefore, the measure of angle 6 is 80 degrees.

I hope this helps!

Answer:

c. 80°

Step-by-step explanation:

We are given a shape with a bunch of lines, and are asked to find what measure is ∠6.

Solving this is simple, we just need to keep notice that what angle is larger than 90 degrees looks like and what under 90 degrees looks like. All angles that are above 90 look wide and huge, while all under is very tiny and skinny.

If we take a look at our hint, angle 4 has the (100 degrees). Look at how wide it is, if angle 6 is tinier than that, then the answers A. and B. are scratched out.

Now 90 degrees is a right angle, looking at angle 6 guarantees that D. is also not correct because it is not a right angle.

Leaving us with C. 80

Answer:

68 inches^2

Step-by-step explanation:

The shape is a rhombus

A rhombus is a four sides quadrilateral with the four sides equal in length

The area of a rhombus =  [tex]\frac{1}{2}pq[/tex]

where p and q are the two diagonals

1/2 x (8 x 17) = 68 in²

9514 1404 393

Answer:

  30

Step-by-step explanation:

Let q represent the number of questions on the exam.

  27 = 0.90q . . . . . 90% of them is 27

  27/0.9 = q = 30 . . . . . divide by the coefficient of q

There are 30 questions on the exam.

Answer:

There are thirty questions on the test.

Step-by-step explanation:

You can discover this by doing 27 divided by . 90 which equals 30

Answer:

1.Assuming that your teacher is not an ars. ewith trick questions who wants you to solve this on an arbitrary point on a spherical surface:

2.The bearing of x from y is 070 and the bearing of z from y is 160, where x, y, and z are three points in the plane .if y is equidistant from x and z, find the bearing of z from x

Answer:

C. $45

Step-by-step explanation:

If 2 pounds of coffee costs $17.95, we divide this number by two to get the cost of one pound of coffee.

This value is equal to $8.975 and we multiply this number by 5 to get 5 pounds of coffee.

This is about equal to option C. $45

Answer:

V=l*w

Step-by-step explanation:

Answer:

What story

Step-by-step explanation:

Answer: 2/5 of an hour

Step-by-step explanation:

ok so 5/8 = .625 just to begin with...

and as a ratio it would be .625 = .25

                                            8/8 (1)    

So I did .25x1=.25

.25x.625= 0.4 or as a fraction 2/5

Answer:

30.07

Step-by-step explanation:

Answer:

300%

Step-by-step explanation:

[tex]\frac{225}{75} = \frac{y}{100}[/tex]

225 × 100 = 75 × y

22500 = 75y

75y ÷ 75 = 22500 ÷ 75

y = 300

300%

Here is a formula for most percent problems.

Answer:

B.

Step-by-step explanation:

The answer is B because 3/5 of 1/2 is less than 1/2. The equation that represents this problem is

3/5 x 1/2 = 3/10

3/10 < 1/2

Therefore, 3/5 is less than 1/2!

Answer:

w = 325cm

Step-by-step explanation:

=> here's your solution

=> formula is v = t*w*h

=> v = 5915cm^3

=> t = 91cm

=> we need to find w = ?

=> V = T*W*H

=> w = 5915/(91*5)

=> w = 325cm

hope it helps

Answer:

the volume of the sphere is 507.78981 cm^3

Step-by-step explanation:

The computation of the volume of the sphere is given below:

Given that

The Diameter is 9.9 cm

So, the volume of the sphere is

= 4 ÷ 3 ×π × r^3

= 4 ÷ 3 × 3.14 × 9.9 ÷ 2^3

= 4 ÷ 3 × 3.14 × 4.95^3

= 507.78981 cm^3

Here r denotes the radius

And, the radius would be comes by dividing the diameter from 2

Hence, the volume of the sphere is 507.78981 cm^3

Answer:

508.0

Step-by-step explanation:

Volume of a Sphere:

V=\frac{4}{3}\pi r^3

V=

3

4

​

πr

3

\text{radius} = \frac{\text{diameter}}{2} = \frac{9.9}{2}=4.95

radius=

2

diameter

​

=

2

9.9

​

=4.95

centimeters

\text{Plug in:}

Plug in:

\frac{4}{3}\pi (4.95)^3

3

4

​

π(4.95)

3

508.047368364254

508.047368364254

Use calculator

\approx 508.0\text{ cm}^3

≈508.0 cm

3

the total speed hour is 115

Answer:

hi sorry i just want points YOSHIII :3

Step-by-step explanation:

Answer:

Step-by-step explanation:

A) WX=YX

angle w =angle Y=70

X=180-2x70= 40

B) all sides are equal. Angle V=T=U=180/3=60

(a) the given triangle is a isosceles triangle. The two base (non-congruent side) angles (in this case, ∠XYW & ∠XWY) will have the same measurements.

It is given that m∠XYW = 70°, therefore, m∠XWY is also 70°.

Subtract 180 from the two 70° to get m∠X:

180 - (70 + 70) = 180 - 140 = 40°

m∠X = 40° is your answer.

~

The given triangle is a equilateral triangle (All sides are congruent). If all sides are congruent, it is a equilateral triangle, and if it is a equilateral triangle, then all measurements of the inside angles are the same, 60°

m∠V = 60°

~

Answer:

Area≈137.965≈138

Step-by-step explanation:

Answer:

Area of sector of a circle = 28.26 meter²

Step-by-step explanation:

Given:

Side of cube = 12 meter

One white section = sector of a circle

Find:

Area of one white section

Computation:

Radius of circle = Side of cube / 2

Radius of circle = 12 / 2

Radius of circle = 6 meter

One white section = sector of a circle

Area of sector of a circle = [θ/360][π][r]²

Area of sector of a circle = [90/360][22/7][6]²

Area of sector of a circle = [0.25][3.14][36]

Area of sector of a circle = 28.26 meter²