A restaurant mixes homemade barbecue sauce with their smoked pulled pork using a ratio of two cups of sauce for every four pounds of shredded pulled pork. Write two rates to represent this relationship.

Answers

Answer 1
Answer:

The two rates that can be used to represent this relationship are:

  • 2 cups : 4 pounds, and
  • 1 cup : 2 pounds

What is a ratio?

A ratio is a comparison between two numbers that can be separated with (:) sign or can be represented as a fraction. This comparison deals with the same units.

However,

  • A rate of a ratio deals with the comparison between different units.

From the parameters given:

  • The ratio rates occur between the homemade barbecue and smoked pulled pork

For every 2 cups of barbecue sauce, 4 pounds of pulled pork is used.

Therefore, we can conclude that the two rates that can be used to represent this relationship are:

  • 2 cups : 4 pounds, and
  • 1 cup : 2 pounds

Learn more about ratio here:

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For a set of data, x is the explanatory variable. Its mean is 8.2, and its standard deviation is 1.92. For the same set of data, y is the response variable. Its mean is 13.8, and its standard deviation is 3.03. The correlation was found to be 0.223.Select the correct slope and y-intercept for the least-squares line.
a. Slope = -0.35
y-intercept = -10.9
b. Slope = -0.35
y-intercept = 10.9
c. Slope = 0.35
y-intercept = -10.9
d. Slope = 0.35
y-intercept = 10.9

Answers

Slope & Intercept are : D) 0.35 , 10.9

Regression is the relationship between explanatory (independent) & dependent variable, which are x & y respectively.

The regression equation y = a + bx + c has intercept & slope a & b respectively , formula for finding them are as follows :

b = r ( σy / σ x )

0.223 ( 3.03 / 1.92 )

= 0.223 (1.578125)

= 0.3519

a = Y' - bX'

a = 13.8 - 0.3519 ( 8.2 )

= 13.8 - 2.8558

= 10.91

Regression Equation : y = 10.9 + 0.35x

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Answer:

d. Slope = 0.35

y-intercept = 10.9

Step-by-step explanation:

The computation is shown below:

Data given in the question

Mean \bar X = 8.2

The standard deviation  of x = \sigma = 1.92

Mean \bar Y = 13.8

The standard deviation  of y = \sigma = 3.03

The correlation = r = 0.223

Based on the above information,

As we know that

The slope is

b = r (\sigma y )/(\sigma x) \n\n = (0.223) ((3.03)/(1.92) \n\n = (0.223) (1.578125)

= 0.3519

Now the y-intercept is

a = \bar Y - b \bar X \n\n

= 13.8  - (0.351922) 8.2

= 13.8 - 2.88579

= 10.91

A student is told to work any 8 out of 10 questions on an exam. In how many different ways can he complete the exam

Answers

Answer:

Step-by-step explanation:

Assuming the order in which he answers the questions matter the answer is the number of permutations of 8 in 10.

This is 10! / (10-8)!

= 1,814.400.

If the order does not matter then the answer is the number of combinations of 8 from 10:

This is 10!/8!*2!

= 45.

Adams Manufacturing allocates overhead to production on the basis of direct labor costs. At the beginning of the year, Adams estimated total overhead of $396,000; materials of $410,000 and direct labor of $220,000. During the year Adams incurred $418,000 in materials costs, $413,200 in overhead costs and $224,000 in direct labor costs. Compute the predetermined overhead rate.

Answers

Answer:

  1.8 times the cost of labor.

Step-by-step explanation:

At the beginning of the year, the rate for overhead was estimated to be ...

  (overhead $)/(direct labor $) = $396/$220 = 1.8

The overhead rate is 1.8 times the labor cost.

A Popsicle store at the beach is comparing their monthly revenue with the sunglasses store next door. The shop owners find that their monthly revenue is positive correlated. This means that eating Popsicles causes people to buy sunglasses.True or False

Answers

Answer:

  False

Step-by-step explanation:

Correlation is not causation.

It may mean that eating popsicles and buying sunglasses have a common cause: sunny days.

Write a trinomial with 3x as the GCF of its terms.​

Answers

Answer:

3x (x² + x + 1)

You could write any trinomial like this

A local concert center reports that it has been experiencing a 15% rate of no-shows on advanced reservations. Among 150 advanced reservations, find the probability that there will be fewer than 20 no-shows. Round the standard deviation to three decimal places to work the problem.A) 0.7967
B) 0.3187
C) 0.2451
D) 0.754

Answers

The probability that there will be fewer than 20 no-shows will be "0.2451".

According to the question,

  • n = 150
  • p = 155 or 0.15
  • q = 1 - p

           = 1 - 0.15

           = 0.85

The Mean will be:

\mu = np

By substituting the values, we get

      = 150* 0.15

      = 22.5

Standard deviation will be;

\sigma = √(npq)

      = √(150* 0.15* 0.85)

      = 4.373

By using the normal distribution to approximate the binomial distribution, we get

P (X < 20) = P(X < 19.5)

                    = P((X-\mu)/(\sigma) < (19.5-22.5)/(4.373) )

                    = P (Z < -0.69)

                    = 0.2451

Thus the above answer i.e., option C) is correct.

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Answer: C

Step-by-step explanation: