A sample of 1,000 adults showed that 31% of them are
smokers. To estimate the proportion of people in the entire population who smoke, what additional information would you need?

Select one:

A. The size of the population

B. The length of time the people smoked

C. All the information you need is contained in the problem

D. The amount of confidence you desire in your estimate

Answer:

2

Step-by-step explanation:

Given:

The given functions are:

[tex]f(x)=x^2[/tex]

[tex]g(x)=3(x+5)^2-2[/tex]

To find:

The transformations performed of f(x) to create g(x).

Solution:

The translation is defined as

[tex]g(x)=kf(x+a)+b[/tex]                .... (i)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph compressed vertically by factor k and if k>1, then the graph stretch vertically by factor k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

We have,

[tex]f(x)=x^2[/tex]

[tex]g(x)=3(x+5)^2-2[/tex]

Using these two function, we get

[tex]g(x)=3f(x+5)-2[/tex]                 ...(ii)

On comparing (i) and (ii), we get

[tex]k=3,a=5,b=-2[/tex]

It means the graph of f(x) is vertically stretched with a scale factor of 3, shifts 5 units left and 2 units down to get g(x).

Therefore, the correct options are A and C.

Answer:

I believe that the question is "A puppy weighs 5 3/4 pounds. How many ounces does the puppy weigh."

Step-by-step explanation:

The answer is 23 ounces.

Answer:

6

Step-by-step explanation:

385/65= about 6 but technically its like 5.92307...

Step-by-step explanation:

Price of glove with tax = 385

Money saved per month = 65

Months needed for Derek to save enough money

= 385/65

= 5.923 months

Answer:

6

Step-by-step explanation:

Answer:

Step-by-step explanation:

D. On a coordinate plane, a straight line with positive slope goes through points (3, 3) and (4, 4).

Explanation:

For a relationship to be proportional it needs to meet two conditions:

1) its graph needs to be a straight line

2) every point of the graph needs to satisty the equation y = k•x, or, in other words k has to be equal for every point

Now, let's check the answers;

A) we have two points: A (2, 6) and B (4, 5). For point A, x is 2 and y is 6, so:

y = k•x

6 = k•2

k = 3

For point B, x is 4 and y is 5, so:

y = k•x

5 = k•4

k= 5/4

Since k isn't the same value for these two points, this isn't proprtional relationship.

B) this graph is curve, so since it's not a straight line it can't be proportional relationship.

C) similarly to graph A we have point A (5, 2) and point B (6, 3).

For point A, x is 5 and y is 2, so:

y = k•x

2 = k•5

k = 2/5

For point B, x is 6 and y is 3, so:

y = k•x

3 = k•6

k = 1/2

Again values of k aren't the same, so this isn't a proportional relationship.

D) Point A (3, 3) and point B (4, 4). For point A, x is 3 and y is 3, so:

y = k•x

3 = k•3

k = 1

For point B, x is 4 and y is 4, so:

y = k•x

4 = k•4

k = 1

Since value of k is the same for both points, this graph shows the proportional relationship.

Answer:

a

Step-by-step explanation: the line goes thru the origin

Answer:

1200*0.70=840

840*0.70=588

588*0.70=411.60

411.60*0.70=288.12

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

We want the solution to ...

  [tex]\dfrac{1}{x}=\dfrac{x+3}{2x^2}\\\\2x=x+3\qquad\text{multiply by $2x^2$}\\\\\boxed{x=3}\qquad\text{subtract $x$}[/tex]

Answer:

We have to find the value of x in

[tex] \sf \: \dfrac{1}{x} = \dfrac{x + 3}{2x {}^{2} } [/tex]

On cross multiplication

2x² × 1 = x × (x + 3)

2x² = x² + 3x

2x² - x² = 3x

x² = 3x

x × x = 3 × x

x = 3

Answer:

-2

Step-by-step explanation:

absolute value is the distance from zero. it will never be negative. so -6 is 6 away from zero, -8 is 8 away from zero. you can just take off the negative sign and use the number by itself.

|-6| - |-8|

6 - 8

-2

Answer:

[tex] - 2[/tex]

Step-by-step explanation:

[tex]|−6|−|−8|[/tex]

Simplify each term.

The absolute value is the distance between a number and zero. The distance between −6 and 0 is 6.

[tex]6−|−8|[/tex]

The absolute value is the distance between a number and zero. The distance between −8 and 0 is 8.

[tex]6−1 \times 8[/tex]

Multiply −1 by 8.

[tex]6−8[/tex]

Subtract 8 from 6.

[tex] - 2[/tex]

Answer:

a. Flipping a coin

b. heads ⇒ boy   tails ⇒ girl

c. Flip 4 coins (1 for each child) ten times

Step-by-step explanation:

=======================================================

Explanations:

Problem 5)

Assuming HEFG is a parallelogram, this means the opposite sides are the same length.

EH = GF

x-3 = 4x-15

x-4x = -15+3

-3x = -12

x = -12/(-3)

x = 4

--------------------------

Problem 6)

We'll use the same idea from problem 5. The opposite sides EF and HG are congruent

EF = HG

3y = 3x+12

3y = 3*4+12

3y = 24

y = 24/3

y = 8

--------------------------

Problem 7)

For any parallelogram, the diagonals always cut each other in half.

Therefore HK = 2z+3 is exactly half that of segment HF = 22

Put another way, HF is twice as long as HK

2*(HK) = HF

2*(2z+3) = 22

4z+6 = 22

4z = 22-6

4z = 16

z = 16/4

z = 4

Answer:

96 i think

Step-by-step explanation:

Answer:

96 I think

Step-by-step explanation:

Answer:

x = 5 ,  − 1

Step-by-step explanation:

Answer:

Explanation:

Both of these inequalities are describing that the value of x is less than negative four, as observable by the solution set graphed on the number line.

Answer:

The first one is B and the second is C :)

Answer:

C. 12 and A.5

Step-by-step explanation:

The number of people is 12 because 7 people who got 9 and 5 people who got ten ASSUMING this test means at least is more than or equals to

6-1 = 5

Answer:

125.7 inches cubed.

Step-by-step explanation:

πr^h is the formula for volume of cylinder.

Answer:

The Y intercept is the point where your line crosses the y-axis.

and always Does.... Well Some time it Dosen't, If It is A different Point

Answer:

Step-by-step explanation:

the least common denominator for the fraction is

7*5=35

since there is no any number that ca divide both the number so multiply them.

Answer:

Volume of cone shape tank  = 461.58 ft³ (Approx.)

Step-by-step explanation:

Given:

Diameter of cone shape tank = 14 feet

Height of of cone shape tank = 9 feet

Find:

Volume of cone shape tank

Computation:

Radius of cone = 14 / 2

Radius of cone = 7 feet

Volume of cone = (1/3)(π)(r²)(h)

Volume of cone shape tank  = (1/3)(3.14)(7²)(9)

Volume of cone shape tank  = (1/3)(3.14)(49)(9)

Volume of cone shape tank  = 1,384.74 / 3

Volume of cone shape tank  = 461.58 ft³ (Approx.)

Answer:

D. 95.476.

Step-by-step explanation:

sin 33 = 52/h

h =  52/sin 33

h = 95.476.

Answer:

Step-by-step explanation:

We will use right triangle trig and SohCahToa here to solve this. The side across from the angle marked as 33 degrees is given as 52; we are looking for h, the hypotenuse. The trig ratio that uses the the side across from the reference angle along with the hypotenuse is the sin ratio. Setting up the equation:

[tex]sin33=\frac{52}{h}[/tex]. Multiply both sides by h and then divide by sin(33) to get

[tex]h=\frac{52}{sin33}[/tex] so

h = 95.476, choice D.

Make sure your calculator is in degree mode and not radians when your angles are given in degrees

Step-by-step explanation:

if x is from B to D then it's 12-2= 10

x= 10

Answer: w=9/8

Step-by-step explanation:

Answer:

w=9/8

Hope I got it right

Answer:

A and E

Step-by-step explanation:

B and D is unchangeable, species of bears and types of vegetables that existed in the world never changed.

C only consist of one data, temperature of Chicago at noon yesterday only.