Answer:
9 cows and 15 ducks
Explanation:
step 1: create a system of equations, using the variable c for cows and d for ducks.
step 2: solve for d in the first equation, then plug it into the second, so that we can solve for c.
step 3: solve for c
step 4: now that we know what c is, plug c back into the first equation, and solve for d
step 5: solve for d, which gives you 15 ducks. We found c in step 3, which is 9 cows.
The data below represent commute times (in minutes) and scores on a well-being survey. Complete parts (a) through (d) below. Commute Time (minutes), x 5 20 30 35 60 84 105 Well-Being Index Score, y 69.3 68.1 67.3 67.2 66.0 65.6 64.0 a) Find the least-squares regression line treating the commute time, x, as the explanatory variable and the index score, y, as the response variable.
The least-squares regression line equation treating the commute time is y = -0.047x + 69.1
How to find the least-squares regression line treating the commute time?From the question we have to treat, x, as the explanatory variable and the index score, y, as the response variable
So, we have the table of values to be:
x 5 20 30 35 60 84 105
y 69.3 68.1 67.3 67.2 66.0 65.6 64.0
Next, we enter the above values in a graphing calculator.
From the graphing calculator, we have the following calculation summary:
Sum of X = 339Sum of Y = 467.5Mean X = 48.4286Mean Y = 66.7857Sum of squares (SSX) = 7813.7143Sum of products (SP) = -370.4571The regression equation is represented as
y = bx + a
Where
b = SP/SSX = -370.46/7813.71 = -0.04741
a = MY - bMX = 66.79 - (-0.05*48.43) = 69.08177
So, we have
y = -0.04741x + 69.08177
Approximate
y = -0.047x + 69.1
Hence, the least-squares regression line equation treating the commute time is y = -0.047x + 69.1
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5. The cost of my school exercise book was Rs. 10. Now she has to pay Rs
the same exercise book for Rs. 12. Let's calculate the percentage increses
price of the excercise book
[tex]\underline{\bf{\dag} \:\bold{As\;we\;know\: that\: :}}[/tex]
[tex]\sf Increase \% = \dfrac{(Value\;Increased)}{Initial\; Value} \times 100 \%[/tex]
According to the question,
→ Increase of Price = ( Rs. 12 - Rs. 10 )
⇒ Rs. 2
→ Initial Value = Rs. 10
Let's solve by putting the values in the formula !
[tex]\sf \leadsto \dfrac{2}{10} \times 100 \%[/tex]
⇝2×10%
⇝20%
∴ The percent of increase in price of that school exercise book is 20 %
[tex]\huge\bf\maltese{\underline{\red{Thanks}}}\maltese[/tex]
1) Which of these is a social goal of any economic system?
A) Economic Security
B) Production Standards
Economic Homogeneity
D) State-provided Employment
Answer:
b
Explanation:
Production standard is a criterion or yardstick or benchmark. It is used for measuring the production of the company. Production standards are fixed for raw materials, production process, tools and equipment, workers, conditions of work, speed of work, quantity of output, quality of output, etc
During operations outside declared hostilities, you may delay contact with local authorities.
Answer:
Correct: during operations outside declared hostilities, you may delay contact with local authorities.
Explanation:
According to the United States Military Code of Conduct which outlines how its officers and enlisted members are to behave during their enlistment, engagement whether on the battlefield or not in combat and or in the event they become a prisoner of war (POW). This Code of conduct consists of six articles to members of the United States Armed Force which act as an ethics guide and directive.
According to elements of Article II of the Code of Conduct during operations outside declared hostilities, you may delay contact with local authorities.
Which coupon would you use on this chair: $20 off or 20% off. Why? Be as convincing as you can. *
Answer:20% off
Explanation:it comes out cheaper in the end
The population of a town increased by 20% between 1989 and 1995. If the
population increased again by 10% from 1995 till 2003, what is the percentage increase in the
population between 1989 and 2003?
Answer:
32 percent
Explanation:
Assume the town's population in 1989 is 100. In 1995 it will be 120. There's a 10% increase (12) from 1995 to 2003 so the population in 2003 is 132. The percentage increase from 1989 (100) to 2003 (132) is (132-100) / 100 = .32 or 32 percent.
The percentage increase in the population between 1989 and 2003 will be 32%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred.
The population of a town increased by 20% between 1989 and 1995. If the population increased again by 10% from 1995 till 2003.
Then the percentage increase in the population between 1989 and 2003 will be
Let x be the population in 1989.
Then the population in 1995 will be
⇒ 1.2 x
Then the population in 2003 will be
⇒ 1.2 × 1.1 × x
⇒ 1.32x
Then the percentage will be
P = (1.32x - x) / x × 100
P = 0.32 × 100
P = 32%
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Determine whether the data set is a population or a sample. Explain your reasoning.
The soil contamination levels at 10 locations near a landfill.
Choose the correct answer below.
how many movements can i make from a 30 squared rectangle if i can only move right and down?
Jeremy is looking for a lost paperclip in his room He divides his room into a set of 12-
inch by 12-inch squares and creates a search grid. Jeremy begins in the top left comer
and searches each square grid working his way across the room slowly and methodically.
Jeremy's step-by-step approach is an example of using