MATHEMATICS COLLEGE

Zinfandel is a popular red wine varietal produced almost exclusively in California. It is rather controversial among wine connoisseurs because its alcohol content varies quite substantially from one producer to another. In May 2013, the author went to a certain website, randomly selected 10 zinfandels from among the 325 available, and obtained the following values of alcohol content (%). 14.9 14.5 16.2 14.3 15.9
13.7 16.2 14.6 13.9 15.1
A. Calculate the interpret several measures of center.
B. Calculate the sample variance using the defining formula.

Answers

Answer 1

Answer:

Kindly check explanation

B) 0.829

Step-by-step explanation:

Given the data :

% Alcohol content of 10 zindafel wine

14.9 14.5 16.2 14.3 15.9

13.7 16.2 14.6 13.9 15.1

Sorted value : 13.7, 13.9, 14.3, 14.5, 14.6, 14.9, 15.1, 15.9, 16.2, 16.2

Range = maximum - minimum

Range = 16.1 - 13.7

n = number of samples = 10

Median = 1/4(n + 1)th term

Median = 1/4(10+1)th term = 11/4 = 2.75 th term

(14.3 + 14.5) / 2 = 28.8 /2 = 14.40

Mode = 16. 2 ( most occurring observation)

Mean(m) = (13.7 + 13.9 + 14.3 + 14.5 + 14.6 + 14.9 + 15.1 + 15.9 + 16.2 + 16.2) / 10

= 149.3 / 10

= 14.93

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An experiment consists of tossing a coin and drawing a card, with the card-drawing stage dependent on the result of the coin toss. If heads occurs, then a card is selected at random from the clubs and spades suits. If tails occurs, then a card is selected at random from the hearts and diamonds suits. What is the size of the sample space of this two-stage experiment?

Answers

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In year 3 it is expected that the total value of clothing sales will reach 32 million if the total value of ASCO sells Remains the Same as year 2what percentage of sales clothing account for in year three

Answers

Answer:

The sales account for year 3 is $[\frac{32\ \text{mn}-x\ \text{mn}}{x\ \text{mn}}* 100\%]$ .

Step-by-step explanation:

As the sales for year 2 is not provided, assume it is x million.

The total sales in year 3 is, 32 million.

Compute the sales account for year 3 as follows:

$\text{Percentage of sales for year 3}=\frac{\text{Total Sales in year 3}-\text{Total Sales in year 2}}{\text{Total Sales in year 2}}* 100\%$

$=\frac{32\ \text{mn}-x\ \text{mn}}{x\ \text{mn}}* 100\%$

F(x)=x 3
−6f, left parenthesis, x, right parenthesis, equals, x, start superscript, 3, end superscript, minus, 6
h(x)=\sqrt[\Large3]{2x-15}h(x)=
3

2x−15
h, left parenthesis, x, right parenthesis, equals, root, start index, 3, end index, square root of, 2, x, minus, 15, end square root
Write f(h(x))f(h(x))f, left parenthesis, h, left parenthesis, x, right parenthesis, right parenthesis as an expression in terms of xxx.
f(h(x))=f(h(x))=f, left parenthesis, h, left parenthesis, x, right parenthesis, right parenthesis, equals

Answers

2x - 21

......................

The constant in the expression 8x 3 + 4x 2 – 9 is

Answers

Answer : 9

Step-by-step explanation:

The answer is 9 because a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number.

50 points! Please help fast this is due soon and it confuses me. Will mark brainliest. Random answers will be reported. Please help with both of you can

Answers

Answer:

Question 1. C
Question 2. D

Step-by-step explanation:

Question 1

Reflection of point (5, -3) across line y = x is symmetrical point:

(x, y) → (y, -x)
(5, -3) → (-3, 5)

Correct choice is C

See attached

Question 2

Coordinates of A = (4, 3)
Coordinates of A' = (-3, 4)

This is 90° counterclockwise or 270° clockwise rotation

(x, y) → (-y, x)
(4, 3) → (-3, 4)

Correct choice is D

Answer:(5,3)

Step-by-step explanation:

A large tank is filled to capacity with 600 gallons of pure water. Brine containing 5 pounds of salt per gallon is pumped into the tank at a rate of 6 gal/min. The well-mixed solution is pumped out at a rate of 12 gallons/min. Find the number A(t) of pounds of salt in the tank at time t. A(t)