Suppose you want to simulate surveying 100 people to find the date of the month (1st, 2nd, 3rd, . . .) each was born. You decide to simulate the survey by having your computer randomly list values 1 through 31. Would the simulation provide a fair representation of an actual survey of 100 people? Why or why not?



No, because for the 12 months in the year not all of the dates are represented.
Yes, because it is possible to get 100 random values in a simulation.

Yes, because all possible dates of the month would be represented.

No, because for the 12 months in the year each date is not equally likely.

Hey there! :)

Answer:

B, they are the same line.

Step-by-step explanation:

Begin by converting each equation to slope-intercept form to make it easier to see the relationship:

-3x - 4y = 1

-4y = 3x + 1

y = -3/4x - 1/4

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

-6x - 8y = 2

-8y = 6x + 2

y = -3/4x - 1/4

The lines are the same. Therefore, B is the correct choice.

Answer: ? = 264

Step-by-step explanation:

Hi, to answer this question we simply have to substitute x= 8 (number of batches) in the equation given:

y = 120 + 18(x)

Replacing and solving for y (number of cookies)

y = 120 + 18(8)

y = 120+144 = 264  cookies

The missing value in the table is⇒ ? = 264

Feel free to ask for more if needed or if you did not understand something.

Answer:

answer is 264

Step-by-step explanation:

Answer:

[tex]y=-6[/tex].

Step-by-step explanation:

If a horizontal line passing through a point (a,b), then the equation of horizontal line is [tex]y=b[/tex] .

In the given question, it is clear that the horizontal line passing through the point (4,-6).

Here, [tex]a = 4[/tex] and [tex]b = -6[/tex].

Since, the equation of horizontal line is [tex]y=b[/tex] , therefore the required equation is

[tex]y=-6[/tex]

Hence, the equation of horizontal line is [tex]y=-6[/tex].

Answer:

circumference= 2πr

2×22×13

7

44×13

7

572

7

81.71cm

Answer:

25%

Step-by-step explanation:

The formula that we can use in this problem would be:

$decreased / Original $

So we would have

28-21 / 28

7 / 28

1/4

1/4=25

So, the percent decrease if 25%

Answer:

25

Step-by-step explanation:

Formula for percent increase or decrease:

(new number - old number)/(old number) * 100%

In this case,

old number = $28

new number = $21

Plug numbers into formula:

($21 - $28)/($28) * 100%

= -$7/$28 * 100%

= -0.25 * 100%

= -25%

A negative answer means a percent decrease.

A positive answer means a percent increase.

The percent change here is -25%, so it is a percent decrease of 25%

Answer:

Yes, he has enough money.

Step-by-step explanation:

I found the heaviest healthy weight for the man which is at 84kg. This means he has to lose 14 kg to be healthy.

Take 14kg divided by 0.75 kg/week to find how many weeks of the diet he needs.

13/0.75 = 18.67 = 18 weeks

Take the number of weeks times the number of calories per week

18 x 600 = 10800

Take this number divided by 200 calories per hour to find the total number of hours.

10800/200 = 54 hours

Take this number times the amount of money per hour.

54 x 6 = 324     This number is less than 360

Answer:

Here it is given that f(x)=3x and g(x)=1/x

We have to find the domain of (g o f)(x)

Now it is given that f(x) = 3x

and it is also given that g(x) = 1/x

so (g o f)(x) = g( f(x) ) = g( 3x )

which comes out to be 1 / 3x

The domain of the expression is all the real numbers except where the expression is undefined so the domain of the given expression is all real numbers except 0.

The domain of a function is the set of input values the function can take.

The domain of the function is (b).all real numbers except x = 0

The functions are given as:

[tex]\mathbf{f(x) = 3x}[/tex]

[tex]\mathbf{g(x) = \frac 1x}[/tex]

Calculate (gºf)(x) as follows:

[tex]\mathbf{(g\ o\ f)(x) = g(f(x))}[/tex]

So, we have:

[tex]\mathbf{(g\ o\ f)(x) = \frac{1}{f(x)}}[/tex]

Substitute 3x for f(x)

[tex]\mathbf{(g\ o\ f)(x) = \frac{1}{3x}}[/tex]

For the above function to have a real value, the value of  x must not be 0.

Hence, the domain of the function is (b).

Read more about domains at:

https://brainly.com/question/14494061

Answer:

x = 34°

Step-by-step explanation:

As you can see, in your pic there is a straight angle which is equal to 180°

Therefore, all the 3 angles combined will be equal to 180°

Answer: Angle A to the nearest degree = 50°

Step-by-step explanation:

Given the triangle ABC:

Since triangle ABC is a right angle triangle, Pythagoras rule can be used to obtain the value of it's angles.

cosine of A

Using Pythagoras rule :

Cos A = Adjacent / Hypotenuse

Cos A = 267 / 391

Cos A = 0.6828644

Taking the cos inverse of angle A

A = Cos^-1 (0.6828644)

A = 46.932111°

A = 50°

Answer:

47°

Step-by-step explanation:

Answer: The number of different ways (orders) she can add these fruits to her blender = 24

Step-by-step explanation:

Given, Ella makes a smoothie for breakfast every morning. Today, she wants to use melon, apple, orange, and peach.

i.e. Total fruits = 4

The number of ways to order n things = n!

Therefore, the number of different ways (orders) she can add these fruits to her blender = 4!

= 4 x 3 x 2 x 1

= 24

Hence, the number of different ways (orders) she can add these fruits to her blender = 24

Answer:

the correct answere is actully 120 ways.

Step-by-step explanation:

Answer:

x ≥ $17, 500

Step-by-step explanation:

To find the cost of the next year model, we will follow the steps below;

Let x be the value of next year's model

$14000 ≤ 80% of  x

80% of  x ≥  $14000

80% × x ≥$14000

80x/100    ≥  $14000

multiply both-side of the equation by 100

80x ≥  $1400000

Divide both-side of the inequality by 80

80x /80 ≥ $1400000 / 80

x ≥ $17, 500

Therefore the cost of next year's model is

x≥$17, 500

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

1) Equation of line through (3, 2) with slope -2.

y = mx + b

2 = -2(3) + b

2 = -6 + b

8 = b

y = -2x + 8

2) Equation of the line through the points (4, 2) and (3, 1)

m = (1 - 2)/(3 - 4) = -1 / -1 = 1

y = mx + b

1 = 1(3) + b

1 = 3 + b

-2 = b

y = x - 2

Answer:

y=-2x+8

y=x-2

Step-by-step explanation:

y=-2x+b

2=-2(3)+b

2=-6+b

8=b

Plug it into your expression

y=-2x+8

(1-2)=m(3-4)

-1=m(-1)

-1=-m

1=m

Plug it into your expression

y=1x+b

1=1(3)+b

-2=b

Plug it into your expression

y=x-2

Answer:

B

Step-by-step explanation:

Use FOIL method

3x(5x) + 3x(- 2) + 3(5x) + 3(- 2)

Simplify to get 15 x^{2} -6x+15x-6  

Combine like terms to get 15x^2+9x-6

quadratic funcntion

quadratic term: 15x^2  

linear term: 9x

constant: -6

(sorry this was late I had other work and I didn't see this until now)

please mark me brainliest!

Answer:

The number of path we can take to walk from A to B via a 7 unit path while staying on the grid is 35 paths

Step-by-step explanation:

Given that we are to walk via a 7 unit path, we have;

Path to walk = Right or Left from start point A

Total number of rights and left to get to point B from A must be= 7

Left direction=3 turns

Right direction=4 turns

Number of ways for the first turn = 7, the next turn has 6 ways after that 5, then 4 next, 3 next, 2 next and 1

7 × 6 × 5 × 4 × 3 × 2 × 1 out of which

four are in the right direction in 4 × 3 × 2 × 1 ways and

3 are in the left direction in 3 × 2 × 1 ways,

Number of ways=7! / 4!3!

=7*6*5*4*3*2*1 / 4*3*2*1*3*2*1

=5040/144

=35

Answer:

The standard form of this slope-intercept form is x + 4y = 16.

Answer:

x + 4y =16

Step-by-step explanation:

[tex]y= \frac{-1}{4}x+4[/tex]

Multiply by 4

[tex]4y=4*\frac{-1}{4}x+4*4\\\\[/tex]

4y = -x + 16

x + 4y =16

Answer:

35 (b)

Step-by-step explanation:

Area of a triangle = (height times base)/2

Height = 5

Base = 14

14 times 5 = 70

70/2 = 35

Answer:

it was b ) 35 units

Step-by-step explanation:

cuz 5*14 you got 70

then when is a triangle you have to do 70 divide by half

so you will got you answer which is b)35 units

hope it helps

Answer:

Length is 12 and width is (x+4) means 16

Step-by-step explanation:

Given:

Area of cookie sheet = 192 in²

Area = x² + 4x

Computation:

x² + 4x = 192

x(x + 4) = 192  , The length is x and width is (x+4)

x² + 4x -192 = 0

x² + (16 + 12)x -192 = 0

x² + 16x + 12x -192 = 0

x(x + 16) - 12(x + 16)

(x + 16)(x - 12)

Because length can not be negative (-16) so,

Length is 12 and width is (x+4) means 16

Answer:

[tex]-4m^5n[/tex]

Step-by-step explanation:

∛-64 = -4

[tex]\sqrt[3]{m^{15}} =m^5[/tex]

∛n³ = n

Answer:

-4m⁵n

Step-by-step explanation:

(see attached)

Step-by-step explanation:

[tex] \sqrt[3]{8} = 2 \\ \sqrt{9} = 3[/tex]

so between 2 and 3

you can say:

2.1

2.2

2.3

2.4

2.5

2.6

2.7

2.8

2.9

2.22

2.1875838

2.7583883

Answer:

18 : 3

Step-by-step explanation:

Basic proportionality question. All we need to here is to expression the given fractions ( [tex]11 \frac{2}{3}[/tex], and [tex]1 \frac{17}{18}[/tex] ) as a fraction itself, and hence expressing the ratio we need to get, in fraction form.

[tex]11 \frac{2}{3} / 1 \frac{17}{18}\\\\[/tex] - So, we have expressed this in a fraction, which we want to reduce

[tex]= \frac{35}{3} / \frac{35}{18}[/tex] - The fractions have been taken as improper fractions

[tex]\\\\= \frac{35}{3}( \frac{18}{35} )\\ \\[/tex] - Now we took the inverse fraction, through multiplication

[tex]= 18 / 3[/tex] - 35 and 35 cancel out, leaving us with the simplified fraction 18 / 3

_____

So now we have 18 / 3, the ratio in fraction form. The scale is thus 18 to 3, or in other words 18 : 3.

Hope that helps!

Answer:

1.5km/hr.

Step-by-step explanation:

jill is walking 1 km/hr. and meets in 2 hours. so jill crossed 2 km in 2 hours. so joe has to (5-2) or 3 km and he walked 3 km on 2 hours as the question. that means joe was walking 3/2 km/hr or 1.5 km/hour

Answer:

2<x<8

Step-by-step explanation:

-8>-5x+2>-38

first part : -5x>-38-2

-5x>-40 when divide by negative number flip the sign

x<-40/-5

x<8

second part : -8>-5x+2

-8-2>-5x

x>-10/-5

x>2

2<x<8

2<x<8

Answer:

The slope is -1/2 and the y intercept is 1/4

Step-by-step explanation:

y=-1/2x + 1/4

This is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is -1/2 and the y intercept is 1/4

Rewrite the product as

[tex]13^4\cdot 17^2\cdot29^3 = (10+3)^4 (10+7)^2 (20+9)^3[/tex]

Powers of 10 and multiples of 10 don't contribute to the units digits, so we only need to consider the product

[tex]3^4\cdot7^2\cdot9^3=81\cdot49\cdot729[/tex]

and we can treat this the same way:

[tex]81\cdot49\cdot729=(80+1)(40+9)(720+9)[/tex]

Again, ignore the multiples of 10 to reduce this to the product 1*9*9 = 81, whose units digit is 1.

Answer:

I think it is 7

Step-by-step explanation:

Answer: Area = 498.8 ft^2

Step-by-step explanation:

One of the segments of the kite forms a triangle.

Using a trigonometry ratio to find the base, tan 30 = opposite/ adjacent

Where opposite = 12 feet

Substitute opposite to find adjacent base.

Tan 30 = 12/base

Base = 12/tan 30

Base = 20.78 feet.

Area of a triangle = 1/2bh

Where the b = opposite = 12 feet

h = base = 20.78 feet

Substitute b and h into the formula

Area = 1/2 × 12 × 20.78

Area = 124.71 square feet.

There are 4 triangular shapes in the figure. Multiply the area by 4. That is,

124.71 × 4 = 498.9 square feet.

Therefore, the area of the shape is 498.9 ft^2

Answer:

305

Step-by-step explanation:

52 customers per day * 5 days per week

260 currently

Now add the 9 per day to find you new goal

52+9 = 61 per day

61 *5 = 30

305 per week is your goal

Answer:

(0, - 2)

Step-by-step explanation:

The y-intercept of the rational function is (0, −2).

Answer:

Step-by-step explanation:

download math photo it will give you free answers

Answer:

2205/17576

Step-by-step explanation:

26 cards

5 vowels , 21 consonants

P( consonant) = consonant / total =21/26

Return the card

26 cards

5 vowels , 21 consonants

P ( vowel) = vowel/total= 5/26

Return the card

26 cards

5 vowels , 21 consonants

P( consonant) = consonant / total =21/26

P( consonant, return, vowel, return, consonant) = 21/26 * 5/26* 21/26

2205/17576