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3 years ago

Use technology to determine an appropriate model of the data. (-1,0), (1,-4), (2,-3), (4,5), (5,12)

Mathematics

2 answers:

goblinko [34]3 years ago

5 0

An appropriate model is a quadratic, y=0.999x²-1.999x-3.

The r² value is 1, so it is a perfect fit.

alukav5142 [94]3 years ago

4 0

Answer:

The required quadratic regression model is $y=x^2-2x-3$ .

Step-by-step explanation:

The given data points are (-1,0), (1,-4), (2,-3), (4,5), (5,12). Plot these points on a coordinate plane.

From the graph it is clear that the given data forms a U-shaped curve. It means we have to find the quadratic regression model.

The general form of quadratic regression model is

$y=ax^2+bx+c$

Using technology we get,

$a=1,b=-2,c=-3$

The required quadratic regression model is

$y=x^2-2x-3$

Therefore the required quadratic regression model is $y=x^2-2x-3$ .

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An automated egg carton loader has a 1% probability of cracking an egg, and a customer will complain if more than one egg per do

vaieri [72.5K]

Answer:

a) Binomial distribution B(n=12,p=0.01)

b) P=0.007

c) P=0.999924

d) P=0.366

Step-by-step explanation:

a) The distribution of cracked eggs per dozen should be a binomial distribution B(12,0.01), as it can model 12 independent events.

b) To calculate the probability of having a carton of dozen eggs with more than one cracked egg, we will first calculate the probabilities of having zero or one cracked egg.

$P(k=0)=\binom{12}{0}p^0(1-p)^{12}=1*1*0.99^{12}=1*0.886=0.886\\\\P(k=1)=\binom{12}{1}p^1(1-p)^{11}=12*0.01*0.99^{11}=12*0.01*0.895=0.107$

Then,

$P(k>1)=1-(P(k=0)+P(k=1))=1-(0.886+0.107)=1-0.993=0.007$

c) In this case, the distribution is B(1200,0.01)

$P(k=0)=\binom{1200}{0}p^0(1-p)^{12}=1*1*0.99^{1200}=1* 0.000006 = 0.000006 \\\\ P(k=1)=\binom{1200}{1}p^1(1-p)^{1199}=1200*0.01*0.99^{1199}=1200*0.01* 0.000006 \\\\P(k=1)= 0.00007\\\\\\P(k\leq1)=0.000006+0.000070=0.000076\\\\\\P(k>1)=1-P(k\leq 1)=1-0.000076=0.999924$

d) In this case, the distribution is B(100,0.01)

We can calculate this probability as the probability of having 0 cracked eggs in a batch of 100 eggs.

$P(k=0)=\binom{100}{0}p^0(1-p)^{100}=0.99^{100}=0.366$

5 0

3 years ago

What is 1.75 divided by 5.25

Diano4ka-milaya [45]

Answer:

0.333333333

Step-by-step explanation: its goes on forever never stopping

3 0

3 years ago

Read 2 more answers

Please help, need to get this done quick!

Murljashka [212]

our X is 30 because 3x = 90 and if we divide that by 3 then we are left with 30, I knew it was equal to 90 degrees because of the little red box that symbolizes a 90 degree angle.

So now that we know X = 30 we can plug it in for (2x + 3y)

2(30) + 3y is equal to (60 + 3y) and if we equal that to the other side 3x and plug in for x on that side, we have a new equation of 90 = 60 + 3y so then from here we subtract 60 from both sides and are left with 30 = 3y and finally we divide 3

and our final answer is Y = 10 (((((((((((((((((((((((((((((:

4 0

3 years ago

Which of these types of income is taxed?

icang [17]

Answer:

<h2>interest on saving accounts</h2><h2 />

Step-by-step explanation:

8 0

4 years ago

If 4x + 8x + 12x + 16x is equal to 5 + 10 + 30 + 40 then what is the value of x

zloy xaker [14]

4x+8x+12x+16x=5+10+30+40

4x+8x+12x+16x= 85

40x=85

x= 85/40

x=2.125

7 0

3 years ago