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Paha777 [63]
2 years ago
10

You research the average cost of whole milk for several recent years to look for trends. The table shows your data. What is the

equation for a line of best fit? How much would you expect to pay for a gallon of whole milk in the year 2023

Mathematics
1 answer:
Rashid [163]2 years ago
5 0

The <em>correct answers</em> are:

y = 0.10x + 2.50; $5.

Explanation:

Using a graphing calculator, we enter the data in the STAT function. The year will be the independent (x) variable and the cost will be the dependent (y) variable.

For the year, instead of starting at 1998, we will start at 0, since that is where we started measuring. This means the year 2000 will be 2; 2002 will be 4; etc, up to x=10.

Running the linear regression, the calculator gives us a slope of 0.10 and a y-intercept of 2.499, or 2.50. This makes the equation y = 0.10x + 2.50.

To predict the price in 2023, we first find what our x-value will be. Subtract 1998 from this:

2023-1998 = 25

Now substitute 25 in place of x in the equation:

y = 0.10(25) + 2.50 = 2.50 + 2.50 = 5

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If (a^3+27)=(a+3)(a^2+ma+9) then m equals
Ronch [10]

Answer:

m = - 3

Step-by-step explanation:

a³ + 27 ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²), thus

a³ + 27

= a³ + 3³

= (a + 3)(a² - 3a + 9)

comparing a² - 3a + 9 to a² + ma + 9, then

m = - 3

7 0
2 years ago
Antonio and Candice had a race. Their distances past a particular landmark as the race progressed can be represented by linear f
Zolol [24]

Answer:

<u>Antonio had a head start of 3 meters.</u>

Step-by-step explanation:

I took the test on Edge and got it correct.

<em>(Sorry, this is late and you probably don't need it anymore.)</em>

9 0
2 years ago
Read 2 more answers
Bill, George, and Ross, in order, roll a die. The first one to roll an even number wins and the game is ended. What is the proba
hram777 [196]

Answer:0.5714\frac{1}{15}

Step-by-step explanation:

Given that Bill, George, and Ross, in order, roll a die.

The first one to roll an even number wins and the game is ended.

Since Bill starts the game he can win by throwing even number or lose by throwing odd number

P(win) = 0.5, otherwise, the die will go to George.  For Bill to win, both George and Ross should throw an odd number so that Bill again gets the chance with game non ending.

Thus we have Prob of Bill winning =P of Bill winning in I throw +P of Bill winning in his II chance of throw +....infinitely

To get back the dice once he loses probability

= p both throws odd = 0.5(0.5) = 0.25

Thus Prob for Bill winning

= 0.5+0.25(0.5)^2+0.25(0.5)^3(0.25)+...

This is an infinite geometric series with I term 0.5 and common ratio 0.125<1

Sum = \frac{a}{1-r} =\frac{0.5}{1-0.125} =0.5714

4 0
2 years ago
A scatterplot consists of (1, 4.0), (2, 3.3), (3, 3.8), (4, 2.6), and (5, 2.7). The line of best fit used to model the data is y
zhenek [66]

Answer:

b

Step-by-step explanation:

8 0
2 years ago
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A train station has installed a system for determining whether bags contain explosives. It has a 95% chance of correctly identif
astraxan [27]

Answer:

a) P(identified as containing explosives)=P(actually contains explosives and identified as containing explosives)+P(actually not contains explosives and identified as containing explosives)

=(10/(4*106))*0.95+(1-10/(4*106))*0.005 =0.005002363

hence  probability that it actually contains explosives given identified as containing explosives)

=(10/(4*106))*0.95/0.005002363=0.000475

b)

let probability of correctly identifying a bag without explosives be a

hence a =0.99999763 ~ 99.999763%

c)

No as even if that becomes 1 ; proportion of true explosives will always be less than half of total explosives detected,

3 0
2 years ago
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