Cheesecake Factory has 5 vanilla, 10 strawberry, and 6 chocolate cheesecakes in the window for sale. What is the ratio of strawberry to total? *

Answer:

P(x)= -0.6x^3 + 500x^2  

Step-by-step explanation:

given data

monthly cost

C(x) = 400x^2 + 300x

revenue is

R(x) = -0.6x^3 + 900x^2 – 400x + 700,

where x is in thousands of boxes sold.

we know that the profit is the difference between the revenue and the cost.

therefore P(x)=R(x)-C(x)

P(x)= -0.6x^3 + 900x^2 – 400x + 700-(400x^2 + 300x )

P(x)= -0.6x^3 + 900x^2 – 400x + 700-400x^2 - 300x

P(x)= -0.6x^3 + 500x^2  

Answer:

10ft

Step-by-step explanation:

Given parameters:

Central angle  = 252°

Arc length  = 44ft

Unknown:

Radius = ?

Solution:

To find the radius of the circle, let us use the expression;

       Arc length  = [tex]\frac{central angle}{360}[/tex] x 2πr

 Insert the parameters and solve for r,

         44  = [tex]\frac{252}{360}[/tex] x 2 x 3.142 x r

          44  = 4.4r

               r  = 10ft

Answer:

c

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer: If u divide both sides by 3 you get the value o x 2 answer: Combine terms by transporting. The equation becomes 4x -7x = -21

Step-by-step explanation: 1. 4x=7(x-3) -----> Start with the given.

2. 4x=7x-21 -----> Distribute 7 by multiplying it to the individual terms inside the parenthesis. 7(x) - 7(3) = 7x -21

3. -3x=-21   ------> From step 2, combine like terms by transposing. The equation becomes 4x - 7x = -21. Simplifying, it becomes -3x = -21

4. x = 7 -----> Divide both sides by -3, you get the value o x.

Hope this helps :)

Answer:

a

[tex]P(X \ge 1) = 0.509 [/tex]

b

[tex]P(X  \ge 1) = 0.6807 [/tex]

Step-by-step explanation:

From the question we are told that

   The number of students in the class is  N  =  20  (This is the population )

   The number of student that will cheat is  k =  3

   The number of students that he is focused on is  n  =  4

Generally the probability distribution that defines this question is the  Hyper geometrically distributed because four students are focused on without replacing them in the class (i.e in the generally population) and population contains exactly three student that will cheat.

Generally  probability mass function is mathematically represented as

      [tex]P(X = x) =  \frac{^{k}C_x * ^{N-k}C_{n-x}}{^{N}C_n}[/tex]

Here C stands for combination , hence we will be making use of the combination functionality in our calculators  

Generally the that  he finds at least one of the students cheating when he focus his attention on four randomly chosen students during the exam is mathematically represented as

      [tex]P(X \ge 1) =  1 - P(X \le 0)[/tex]

Here  

   [tex]P(X \le 0) =  \frac{ ^{3} C_0 *  ^{20 - 3} C_{4- 0}}{ ^{20}C_4}[/tex]

   [tex]P(X \le 0) =  \frac{ ^{3} C_0 *  ^{17} C_{4}}{ ^{20}C_4}[/tex]

   [tex]P(X \le 0) =  \frac{ 1 *  2380}{ 4845}[/tex]

    [tex]P(X \le 0) =  0.491[/tex]

Hence

    [tex]P(X \ge 1) =  1 - 0.491[/tex]

     [tex]P(X \ge 1) = 0.509 [/tex]

Generally the that  he finds at least one of the students cheating when he focus his attention on six randomly chosen students during the exam is mathematically represented as

    [tex]P(X \ge 1) =  1 - P(X \le 0)[/tex]

   [tex]P(X  \ge 1) =1- [  \frac{^{k}C_x * ^{N-k}C_{n-x}}{^{N}C_n}] [/tex]

Here n =  6

So

    [tex]P(X  \ge 1) =1- [  \frac{^{3}C_0 * ^{20 -3}C_{6-0}}{^{20}C_6}] [/tex]

    [tex]P(X  \ge 1) =1- [  \frac{^{3}C_0 * ^{17}C_{6}}{^{20}C_6}] [/tex]

    [tex]P(X  \ge 1) =1- [  \frac{1  *  12376}{38760}] [/tex]

    [tex]P(X  \ge 1) =1- 0.3193 [/tex]

    [tex]P(X  \ge 1) = 0.6807 [/tex]

Answer:

The equation below can be used to find the length of a foot or forearm when you know one or the other. (length of the foot) = 0.860 • (length of the forearm) + 3.302 If you let y = length of the foot and x = length of the forearm, this equation can be simplified to y = 0.860x + 3.302.

Step-by-step explanation:

Answer:SSS

Step-by-step explanation:

Answer:

see the picture there is the answer

Answer:

w= 6

Step-by-step explanation:

I just started by making an educated guess using the values already given. Then I inserted that into the problem to see if it worked.

L= 2w - 5

I used 6 as a random, educated guess for the value of w.

L = 2(6) - 5

L = 12-5

L = 7

Then, multiply L by 2 to account for both side lengths of the rectangle.

7(2)= 14

Subtract that value from the total perimeter to find what the width must equal.

26 - 14 = 12

Divide that answer by 2 since there are two sides for width.

12/2 = 6

I know this was kind of long, but I hope it helps! :)

Step-by-step explanation:

[tex]2y + 106 = 180[/tex]

[tex]y = 106 \div 2 = 53[/tex]

[tex]y = 53[/tex]

[tex]4z + 16 = 180[/tex]

[tex]4z = 180 - 16[/tex]

[tex]z = 164 \div 4 = 41[/tex]

and the answer for x is 106

Answer:

82

Step-by-step explanation:

calculator

Answer:

The first digit after the decimal represents the tenths place. The next digit after the decimal represents the hundredths place. The remaining digits continue to fill in the place values until there are no digits left.

hope that helps!

Answer:

A decimal number can be defined as a number whose whole number part and the fractional part is separated by a decimal point. The dot in a decimal number is called a decimal point. The digits following the decimal point show a value smaller than one.The first digit after the decimal represents the tenths place. The next digit after the decimal represents the hundredths place.

Step-by-step explanation:

Answer: 4

Step-by-step explanation:

Answer:

The 90% confidence interval is   [tex]15.66< \mu < 15.94 [/tex]

Step-by-step explanation:

From the question we are told that

  The population standard deviation is  [tex]\sigma = 2.2[/tex]

  The  sample mean is  [tex]\= x = 15.8 \ gallon[/tex]

   The sample size is  n  =  669

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 90 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.645[/tex]

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

=>  [tex]E = 1.645  *  \frac{ 2.2}{\sqrt{669} }[/tex]

=>  [tex]E = 0.1399[/tex]

Generally 90% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=>    [tex]15.8  - 0.1399 <\mu<  15.8  + 0.1399 [/tex]

=>    [tex]15.66< \mu < 15.94 [/tex]

Answer: 66ft

Step-by-step explanation:

A=1/2bh

462=1/2(14)(h)

462=7h

66=h

Answer:

Appropriately 10 hot dogs

Step-by-step explanation:

Answer: True

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

We have to find the difference:

We start with 5 yellow counters

Since we have to subtract more yellow counters than we have (5 instead of 8), we add 3 zero-pairs:

We subtract the 8 yellow counters:

We are left with 3 red counters, which means the result is -3

Answer:

It looks as though it would be A because it starts at 30 and goes up steadily by 5. B increases too quickly, C does not increase, and D decreases.

Step-by-step explanation:

Answer:

$66.00

Step-by-step explanation:

What you do is you times 110 x 44 and then you do 110-44 which you should  get this $66.00

Answer:

[tex]y = - \frac{7}{2} x + \frac{47}{2}[/tex]

Answer:

the answer is part 3 : exactly 30 .....

Answer:

Equal to each other.

Step-by-step explanation:

The mean and median of a normal distribution are both equal to the mode. In other words, the mean, median, and mode of a normal distribution are all the same.

Answer:

x =  - 2

Step-by-step explanation:

Distribute

4(x + 1) = -3x - 10

4x + 4 = -3x - 10

Subtract 4  from both sides of the equation

4x + 4 = -3x - 10

4x + 4 − 4 = −3x − 10 − 4

Simplify

Subtract the numbers

4x+4−4=−3x−10−4

4  =  − 3  − 1 0  −  4

Subtract the numbers  again

4  =  −  3  −  14

Add  3x  to both sides of the equation

4  =  −   3 x  −  1 4

4 + 3 = − 3 − 1 4 + 3

Simplify

Combine like terms

4 + 3 = -3x-14+3x

7x =−3x−14+3x

Divide both sides of the equation by the same term

7 = − 1 4

7 /7 = -14/7

Cancel terms that are in both the numerator and denominator

7x/7 = -14/7

x = -14/7

Divide the numbers

 =  − 1 4 /7

=  − 2

Answer:

14 dollars

Step-by-step explanation:

If he sells 10 packs, then it will be 4 times less than 40, which means that the pricwe will be 4 times less, or 64 dollars divided by 4 = 14 dollars