In the equation y=kx, which variable is the constant of proportionality?

Answer:

Explained below.

Step-by-step explanation:

The number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1262 chips and standard deviation 118 chips. ​

(a)

Compute the probability that a randomly selected bag contains between 1000 and 1400 chocolate​ chips as follows:

[tex]P(1000<X<1400)=P(\frac{1000-1262}{118}<\frac{X-\mu}{\sigma}<\frac{1400-1262}{118})\\\\=P(-2.22<Z<1.17)\\\\=P(Z<1.17)-P(Z<-2.22)\\\\=0.87900-0.01321\\\\=0.86579\\\\\approx 0.8658[/tex]

Thus, the probability that a randomly selected bag contains between 1000 and 1400 chocolate​ chips is 0.8658.

(b)

Compute the probability that a randomly selected bag contains fewer than 1000 chocolate​ chip as follows:

[tex]P(X<1000)=P(\frac{X-\mu}{\sigma}<\frac{1000-1262}{118})\\\\=P(Z<-2.22)\\\\=0.01321\\\\\approx 0.0132[/tex]

Thus, the probability that a randomly selected bag contains fewer than 1000 chocolate​ chip is 0.0132.

(c)

Compute the proportion of bags that contains more than 1200 chocolate​ chips as follows:

[tex]P(X>1200)=P(\frac{X-\mu}{\sigma}>\frac{1200-1262}{118})\\\\=P(Z<-0.53)\\\\=0.29806\\\\\approx 0.2981[/tex]

Thus, the proportion of bags that contains more than 1200 chocolate​ chips is 0.2981.

(d)

Compute the percentile rank of a bag that contains 1125 chocolate​ chips as follows:

[tex]P(X<1125)=P(\frac{X-\mu}{\sigma}<\frac{1125-1262}{118})\\\\=P(Z<-1.16)\\\\=0.12302\\\\\approx 0.123[/tex]

Thus, the percentile rank of a bag that contains 1125 chocolate​ chips is 12.3rd.

Answer:

The rate of change relates the change in population to the change in time.  The population increased by 2212−1900=312 people over the four-years.  To find the rate of change, divide the change in the number of people by the number of years.

2212−19004=3124

3124/4 =78

So the population increased by 78 people per year.

Because we are told that the population increased, we would expect the slope to be positive.  This positive slope we calculated is therefore reasonable.

Answer:

Luzilândia baiana não ia já ouvi falar em Maranhão que e Rosa do Brasil na rocha godprl e abaixa e viu neon

Answer:

a=10/30

Step-by-step explanation:

because you can simplify it to 2/15

Answer:

The equation is likely (x2 -2x -3)/(x+2) and to simplify you can do polynomial synthetic division or long division. Using long division because it works in all cases:

       ________

x+2√x2 -2x -3             how many times does x go into x2  , x times

       x - 4 ______

x+2√x2  - 2x -3            multiply x by x + 2 and create the next row

     -(x2 )

          -4x - 3             bring down the -3 and repeat first step. how many times does x go into -4x, -4 times

        -(-4x - 8)            multiply x + 2 by -4

                   5             (this is the remainder but it must be in the form 5/(x+2)

so the answer is x - 4 + 5/(x + 2). Hopefully, this is what your teacher considers "simplified".

Step-by-step explanation:

Copied this from wyzant.com.  

Answer:

Check Explanation

Step-by-step explanation:

5b = 25 (equation)

5b (neither)

5(3+4) (expression)

Answer:

$15

Step-by-step explanation:

if one pound is $5 and we need 3, then we can multiply the price of one pound by 3. (3×$5) This gives $15

First, you will want to get the denominators of both fractions to be the same, the easiest way to do this is by multiplying the denominators, so 5 x 7 = 35

next you need to do the same for the numerators, so 2 x 7 = 14 and 2 x 5 = 10

now you have the equation 14/35 + 10/35

next, you add the numerators. so, 14 + 10 = 24

therefor, 2/5 + 2/7 =24/35

so your answer is 24/35

Answer:

c

Step-by-step explanation:

the guy is a champ

The solution of the formula for p is  p = I/ rt which is divided by the principle p times r. which is the correct answer would be an option (C)

Simple interest is defined as interest paid on the original principal and calculated with the following formula:

S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100

Given that the formula as:

⇒ I = prt

where I = Interest, P = principal,

R = rate and T = time is used to calculate the amount of simple interest earned.

⇒ I = prt

After getting P on one side, you must divide rt to get the letter p by itself.

⇒ I = prt

⇒ p = I/ rt

Hence, the correct answer would be option (C)

Learn more about the simple interest here:

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Answer:

-12yx

Step-by-step explanation:

y=x/2+3

y-3= -6

-6y= x/2

-6 x 2= -12yx

Answer:

195

Step-by-step explanation:

Divide 91/7 which is 13 and multiply that by 15 to get the value of y when x is 15

Answer

n= 0

Explanation

- 3 (n - 3) = 3n + 9−3(−3)=3+9

−3+9=3+9

−3=3

-3n=3n−3n=3n

−3−3=3−3

−6=0

Answer:

11.98

Step-by-step explanation:

Answer:

y= -2/3x-1

Step-by-step explanation:

Hope this helps!

Answer:

no puedo alludar te perdón

Answer:

5: c=65  d=125  e=60

6: c= 58 d= 121 e=63

7. a=55 b=64 c=61

8. a=61 b=55 c=64

Step-by-step explanation: :)

Answer: 11 cents

Step-by-step explanation:

add 11.20 +5=16.20, then dived by 180, which equals .11

Answer:

802456

Step-by-step explanation:

Answer:

because ΔMLN ≅ ΔYZX

=> MN = YX = 4

Step-by-step explanation:

Answer:

I think its four

Step-by-step explanation:

Step-by-step explanation:

The given number is 7700.

We need to find the relationship between the values of the digit 7s in it.

The digit in the extreme left is 7 and second no is again 7.

The place value of first 7 is 7000

The place value of second 7 is 700.

Taking ratio of place value of 7 in first 7 and for second 7 as follows :

[tex]R=\dfrac{7000}{700}\\\\R=10[/tex]

So, value of first 7 is 10 times that of the value of second 7.

Answer:

Answer is D hope this helped u :)

Step-by-step explanation:

Answer:

1. one orange x tile

2. six orange + tiles

3. x + 6

Step-by-step explanation:

The situation can be represented as an algebraic expression as:  

y = x + 6

An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

Bernadette bought six more fish for her tank,

Suppose, Bernadette has x number of fish already

the expression for the total number of fees can be written as,

Total number of fees  = Number of fees he has already + 6

                                    = x + 6

⇒ y = x + 6

Hence, the given condition can be expressed as  y = x + 6

To know more about Expressions check:

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Answer:

38 attendees.

Step-by-step explanation:

Subtract the cost of the decorations from the total (474 - 94). You are then left with $380 for all the attendees combined. Divide the total cost of attendees by the cost per attendee (380/ 10). You are left with 38 attendees. You can also check this backwards by multiplying 38 attendees by $10 (380), then adding the cost of decorations (94), and end up with the total cost of $474. I hope this helped!

Answer:32%

Step-by-step explanation:

330-250=80

80/250=0.32 or 32%

Answer:

x = -4

Step-by-step explanation:

Multiply both sides by 2. Move constant to the right-hand side and change the sign. Add the numbers. And change the signs on both sides of the equation.