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An ice cream shop is testing some new flavors of ice cream. They invent 252525 new flavors for customers to try, and throw out t

navik [9.2K]

Answer:

Total 480 liters of ice cream is in the cartons.

Step-by-step explanation:

Given:

An ice cream shop is testing some new flavors of ice cream. They invent 25 new flavors for customers to try, and throw out the 13 least popular flavors. The shop makes 80 cartons of each of the remaining flavors. It takes 2 cartons to get one liter of ice cream.

Now, to find the total ice cream in the cartons.

The ice cream shop invent new flavors = 25.

And ice cream shop throw out least popular flavors = 13.

So, to get the remaining ice cream we subtract quantity of flavors ice cream shop throw out from the quantity of flavors ice cream shop invent:

$25-13=12.$

Thus, the remaining flavors = 12.

According to question, the shop makes 80 cartons of each of the remaining flavors. And it takes 2 cartons to get one liter of ice cream.

So, we get the unit rate of liter per carton:

If, 2 cartons contain 1 liter.

Then, 1 carton contain = $\frac{1}{2} =0.5\ liter.$

Total quantity of ice cream per carton = 0.5 liter

Total number of cartons = 80.

Total flavors of ice cream = 12.

Now, to get the total ice cream in the cartons we multiply total quantity of ice cream per carton by total number of cartons by total flavors of ice cream:

$0.5\times 80\times 12\\\\=480\ liters.$

Therefore, total 480 liters of ice cream is in the cartons.

7 0

3 years ago

Simplify the expression (x^19 y^21)^4/(x^2 y^6)^2 The simplified expression is ________.

Masja [62]

I got x^72y^72 i hope this helps

3 0

3 years ago

Read 2 more answers

Assume a Poisson random variable has a mean of 5 successes over a 125-minute period.

goldenfox [79]

Answer:

a

$\mu = 25$

b

$\lambda =0.04$

c

$P(X > 65 ) =0.0742$

Step-by-step explanation:

From the question we are told that

The number of success is n = 5

The time duration is N = 125 minutes

Generally the mean of the random variable is mathematically represented as

$\mu = \frac{N}{n}$

=> $\mu = \frac{125}{5}$

=> $\mu = 25$

Generally the rate parameter is mathematically represented as

$\lambda = \frac{1}{\mu}$

=> $\lambda = \frac{1}{25}$

=> $\lambda =0.04$

Generally the cumulative distribution function for exponential distribution function is

$F(x) = \left \{0 \ \ \ \ \ \ x \le 0}} \atop {1 -e^{-\lambda t }\ x>0}} \right.$

Generally the probability that the time to success will be more than 63 minutes is mathematically represented as

$P(X > 65 ) = 1 - P(X \le 65)$

Here

$P(X \le 65) = 1 -e^{-65 * \lambda }$

=> $P(X \le 65) = 1 -e^{-65 * 0.04 }$

=> $P(X \le 65) = 0.92573$

So

$P(X > 65 ) = 1 - 0.92573$

$P(X > 65 ) =0.0742$

7 0

4 years ago

Variable y varies directly with variable x, and y = 5 when x = 8.

qaws [65]

Y = kx

Plug in what we know:

5 = k(8)

5 = 8k

Divide 8 to both sides:

k = 0.625

Plug this back into the equation along with y = 15:

y = kx

15 = 0.625x

Divide 0.625 to both sides:

x = 24

4 0

4 years ago

Read 2 more answers

You ask 120 randomly chosen students to name their favorite ice cream flavor. There are 1800 students in the school. Based on th

Stella [2.4K]

39/120 = x / 1800....39 choc. chip to 120 students = x choc. chip to 1800 students

now we cross multiply because this is a proportion
(120)(x) = (39)(1800)
120x = 70200
x = 70200/120
x = 585 <===

or u could do it this way as well...
39 out of 120 picked chocolate chip....
39/120 = 0.325 = 32.5%....so 32.5% chose chocolate chip.

32.5% of 1800 = 0.325(1800) = 585 <==

5 0

3 years ago