In a given survey, 9 people say their favorite color is pink. The number represented 45% of the total people. How many people took the survey?

Answers

Answer 1

Answer:

405

Step-by-step explanation:

1% - 9 people

45% - 9 × 45 = 405 people

Answer 2

Answer:

Step-by-step explanation:

It’s 780 trust


Related Questions

Which of the following could be a function with zeros of —3 and 2? А f(x) = (x - 3)(x + 2) B f(x) = (x = 3)(x - 2) © f(x) = (x+3)(x - 2) D f(x) = (x+3)(x + 2)​

Answers

Answer:

C

Step-by-step explanation:

to find the zeros you look at what value you would fill in for x to make zero, so (x+3) would have a zero of -3 and (x-2) would have a zero of 2

Please help me with this question!! I also need the steps

Answers

Hi there!

[tex]\large\boxed{x = \frac{\pi}{3} \text{ and } \pi}[/tex]

We are given:

cos(7x)cos(4x) = -1 - sin(7x)sin(4x)

Begin by moving all terms with variables to one side:

cos(7x)cos(4x) + sin(7x)sin(4x) = -1

The corresponding trig identity is cos(A - B). Thus:

cos(7x - 4x) = cos(7x)cos(4x) + sin(7x)sin(4x) = -1

cos(3x) = -1

cos = -1 at  π, so:

3x = π

x = π/3

We can also find another solution. Let 3π = -1:

3x = 3π

x = π

Thus, solutions on [0, 2π) are π/3 and π.

A new car battery is sold with a two-year warranty whereby the owner gets the battery replaced free of cost if it breaks down during the warranty period. Suppose an auto store makes a net profit of $20 on batteries that stay trouble-free during the warranty period; it makes a net loss of $10 on batteries that break down. The life of batteries is known to be normally distributed with a mean and a standard deviation of 40 and 16 months, respectively.

Required:
a. What is the probability that a battery will break down during the warranty period?
b. What is the expected profit of the auto store on a battery?
c. What is the expected monthly profit on batteries if the auto store sells an average of 500 batteries a month?

Answers

Answer:

a) 0.1587 = 15.87% probability that a battery will break down during the warranty period.

b) The expected profit of the auto store on a battery is of $15.239.

c) The expected monthly profit on batteries if the auto store sells an average of 500 batteries a month is of $7,619.50.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The life of batteries is known to be normally distributed with a mean and a standard deviation of 40 and 16 months, respectively.

This means that [tex]\mu = 40, \sigma = 16[/tex]

a. What is the probability that a battery will break down during the warranty period?

Two year warranty, that is, 24 months. This probability is the pvalue of Z when X = 24. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{24 - 40}{16}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587.

0.1587 = 15.87% probability that a battery will break down during the warranty period.

b. What is the expected profit of the auto store on a battery?

1 - 0.1587 = 0.8413 probability of a profit of $20.

0.1587 probability of a loss of $10. So

[tex]E = 0.8413*20 - 0.1587*10 = 15.239[/tex]

The expected profit of the auto store on a battery is of $15.239.

c. What is the expected monthly profit on batteries if the auto store sells an average of 500 batteries a month?

Multiplying the average for a battery by 500. So

15.239*500 = $7,619.50

The expected monthly profit on batteries if the auto store sells an average of 500 batteries a month is of $7,619.50.

PLEASE SOMEONE HELP ME WITH THE MATH!!! It's on the picture!!!

Answers

N is to the left of the zero which means it is a negative number.

P is the the right of zero which means it is a positive number.

A negative number is less than a positive number, so the answer would be:

The number with the least value is N

The number with the greatest value is P

What is the surface area of the tent?

Answers

Answer:

i think the answer is 105.96

What is the equation of the line that has a slope of -3 and goes through the point (3, -1)?

Answers

y=-3x-1 is the equation

I think!!

Answer:

y = -3x + 8

Step-by-step explanation:

plug in the slope of -3 and the point (3, -1) into the equation: y = ax + b  to find b. (the slope of -3 = a)

=> -1 = 3(-3) + b

=> b = 8

plug in b= 8 & the slope of -3 into the equation: y = ax + b

=> y = -3x + 8

. Duke's photography pays $9 for a 5x7 photograph.
If the photograph is sold for $15, what is the
percent of markup based on cost?​

Answers

Answer:

the markup percentage is 66.67%

Step-by-step explanation:

The computation of the percent of markup based on cost is shown below:

= (Selling price - paid price) ÷ (paid price)

= ($15 - $9) ÷ ($9)

= 66.67%

By taking the difference of the selling price & paid price and then divided it by paid price we can get the percentage of markup

Hence, the markup percentage is 66.67%

Need help please!!!!!

Answers

maybe 54 I think I’m not sure
Answer:
i think it is 63°

Explanation:

the rhombus is 360°, 54x2=108
360-108=252
252/2=126 (angles HGF and HEF)
126/2=63

The Lemonade War is a book with 14 chapters. Each chapter
represents a
of the book. *
quarter
half
fraction
O third

Answers

fraction is 1/14 of the book

Solve the inequality. m/-5 < or = 4

Answers

Answer:

M < or = -20

Step-by-step explanation:

Brainlist please

Click on the median of this part of the data

Answers

Answer:

7

Step-by-step explanation:

please help me i really need help please i really need help please

Answers

Answer:

(-1,-2)

Step-by-step explanation:

For a point (a,b) rotated 90° counterclockwise about the origin, it's new coordinates are (-b,a).

So since C is originally (-2,1), it's new coordinates are (-1,-2)

ILL MARK BRAINLIEST!!! Someone just help!! Anyone!!

Answers

Answer:

The last one because all of those numbers are included in the table.

Find the volume of the cylinder.

Answers

Answer:

160pi

Step-by-step explanation:

the volume of a cylinder is found using the formula V=pi x r² x h. taking r=4 this means we have pi x 16 x10 =160pi

show that f(x)=x^3 and g(x)=200x^3 grow at the same rate

Answers

Answer:

Following are the response to these question:

Step-by-step explanation:

[tex]\to f(x)=x^3 \\\\ \to g(x)=200x^3\\\\[/tex]

[tex]\to \lim_{n \to \infty} \frac{f(x)}{g(x)} \\\\= \lim_{n \to \infty} \frac{x^3}{200x^3}\\\\= \frac{1}{200} \ \ (infity)\\\\\to f(x) \ \ and \ \ g(x)[/tex]  grows at the same rate.

look at pic 10 pts will mark brainilest

Answers

Answer:

C) It will not change

Hope this helps! :)

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

∠GHJ and ∠FEC

Step-by-step explanation:

Alternate exterior angles are two angles that lie on the outer part of the parallel lines but on different sides.

∠GHJ and ∠FEC lie on the outer parts of the parallel lines, but different sides.

∠GHJ is on the lower left side.

∠FEC is on the upper right side.

solve each system by eliminating one of the variables by addition or
subtraction.

Answers

Answer:

1) x- y = 8

x + y = 12

eliminate one variable by adding the equations

2x = 20

divided by 2 on both sides

x = 10

substitute the value of x in the equation 1

10 - y = 8

-y = 8- 10

y =2

[x , y]

[10 , 2]

2) 2x - y = 4

3x + y = 6

eliminate one variable by adding the equations

5x = 10

x = 2

substitute the value of x in the equation

2(2) - y = 4

4 - y = 4

y = 0

[x ; y]

[2; 0]

3) x + 2y = 10

x + 4y = 14

multiply equation 1 by - 1

-x -2y = -10

x + 4y = 14

eliminate one variable by adding the equations

2 y = 4

y = 2

substitute the value of y in the equation 1

x + 2(2) = 10

x + 4 = 10

x = 6

[x ; y]

[6 ; 2]

4 ) 3x + y = 9

y = 3x + 6

simplify the expression

3x + y = 9

- 3x + y = 6

eliminate one variable by adding the equations

2y = 15

y = 15/2

substitute the value of y in equation 1

3x + 15/ 2 = 9

3x = 3/2

x = 1/2

[x ; y]

[1/2 ; 15/ 2]

5) 4x + 5y = 15

6x - 5y = 18

eliminate one variable by adding the equations

10 x = 33

× = 33/10

substitute the value of x in equation I

4 (33/10) + 5y = 15

66/5 + 5y =15

5y = 9/5

y = 9/25

[x ; y]

[33/10 ; 9/25]

6) 5x = 7y

x + 7y = 21

in equation I move the variable to the left

5x - 7y = 0

x + 7 y = 21

eliminate one variable by adding the equations

6x = 21

x = 7/2

substitute the value of x in the equation

5(7/2) = 7y

35/2 = 7y

5/2 = y

[x ; y ]

[7/2 ; 5/2 ]

pleaseeeeee help me out quickkk solve for x

Answers

Answer:

x = 27.2

Step-by-step explanation:

Apply trigonometric function to solve for x.

Reference angle = 54°

Side length opposite to reference angle = 22

Hypotenuse = x

We would apply SOH:

Sin 54 = Opp/Hyp

Sin 54 = 22/x

x*sin 54 = 22

x = 22/sin 54

x = 27.1934955 ≈ 27.2 (nearest tenth)


Tyra's kitchen is 42 m wide and 6.3 m long. She is pasting a decorative border strip that costs $5.95 per meter around the top edge of all the walls. How much will she spend?

Answers

Answer:

$124.95

Step-by-step explanation:

The length of the strip is equal to perimeter of the kitchen.

P = 2(4.2 + 6.3) = 21 m

Cost of the strip is:

21*$5.95 = $124.95

Find the area of the shaded region

Answers

Answer:

Step-by-step explanation:

Area of the Shaded region = area of the Trapezoid - Area of the triangle

Area of the Trapezoid

b1 = 14

b2 = 26

h = 15

Area = (b1 + b2 ) * h / 2

Area = (14 + 26) * 15/2

Area = 40 * 15/2

Area = 300 in^2

Area of the triangle

Area = 1/2 b * h

b = 26

h = 15 - 6

h = 9

Area = 1/2 * 26 * 9

Area = 117 in^2

Area of the shaded region

Area of the shaded region = 300 - 117

Area of shaded region = 183

round 36 to the nearest hundredth. for the brainiest

Answers

36 to the nearest hundredth is just 36

To round 36 to the nearest hundredth consider the thousandths' value of 36, which is 0 and less than 5. Therefore, the hundredths' value of 36 remains 36

Answer:

Round 36 to the nearest tenth, Leaving only one number after the decimal point, Then you have come to the right post.

Step-by-step explanation:

Round off to nearest 10. Rounding every place-value of number. Round off a number to the nearest tens round off to the nearest multiple of ten.

A large number may be rounded off to the nearest 10.

Hope It Helps!

A car travels 30 1/5 miles in 2/3 of an hour what is the average speed in miles per hour of the ca A car travels 30 1/5 miles in 2/3 of an hour what is the average speed in miles per hour of the car

Answers

Answer:

45.3 miles/h

Step-by-step explanation:

let 'x' be the speed of the car.

60 × 2/3 = 120/3 = 40  

30 × 1/5 = 151/5  

151/5 /40 = x / 60  

151 / 200 = x / 60

=> x = (151×60) / 200

=> x = 45.3

(hope this helps can i plz have brainlist :D hehe)

Given f (x) = x + 1 and g(x) = x2, what is (gof)(x)?

Answers

Answer:

(gof)(x) = x² + 2x + 1

Step-by-step explanation:

You can solve this by plugging  f into g and finding the result:

(gof)(x) = f(x)²

= (x + 1)²

= x² + 2x + 1

What is the area of the triangle?

Answers

Answer:

45

Step-by-step explanation:

9x10/2=45


6.) Anne takes out an $8,000 loan to buy a car. She chooses the 8 year loan and will pay $120.55 per month. What is the total repayment on the loan?

A.$11,572.80
B.$9.644.00
C.$6,272.00
D. $23,145.60


I NEED HELP FAST THANK YOU

Answers

Answer:

D

Step-by-step explanation:

D
Good luck..........

Last one!!!hdbsjsbsjdsnsjsn​

Answers

Answer:

Option c is correct

Step-by-step explanation:

Hope it helps

Answer:

9.4

3rd option

The boats are 9.4 units apart.

Which of the following is the function representing the graph below?

a. f(x) = 4x
b. f(x) = 4x − 3
c. f(x) = 4x + 3
d. f(x) = 4(x + 3)

Answers

Answer:

d. f(x) = 4(x + 3)

What are the zeros of x^3 + 16x^2 + 60x? What are their multiplicities?

Answers

  2

X - 4 = 0

X = +2

0

4

I need the value of Y

Answers

9514 1404 393

Answer:

  y = 6

Step-by-step explanation:

Let's call the marked angles A, B, C, clockwise from upper left.

Along the vertical transversal, we observe that A+90° and C are alternate exterior angles, so are congruent. This lets us find a value for x.

  A+90 = C

  4x +90 = 11x -8

  98 = 7x

  14 = x

Then angle A is ...

  A = 4x° = 4(14)° = 56°

__

Along the horizontal transversal, we observe that A and B are alternate exterior angles, so are congruent. This lets us find a value for y.

  A = B

  56° = (9y +2)°

  54 = 9y

  6 = y

The value of y is 6.

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