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kondaur [170]
3 years ago
6

The table shows the annual consumption of cheese per person in the United States for selected years in the 20th century. Let x =

number of years since 1900, and y = pounds per person. What cubic model best fits this data? YearPounds Consumed. 19021.959. 19246.373. 19467.29. 198215.817. A. y = 0.00989x3 - 0.0000872x2 + 1.192x + 0.403. B. y = -0.0000872x3 + 0.00989x2 - 0.403x - 1.192. C. y = -0.0000872x3 - 0.00989x2 - 0.403x + 1.192. D. y = 0.0000872x3 - 0.00989x2 + 0.403x + 1.192
Mathematics
1 answer:
Svet_ta [14]3 years ago
8 0
To see what model best represents this data we have to plug in the values for x and y:
Model D :
x = 2, y = 1.959
y = 0.0000872 · 2³ - 0.00989 · 2² + 0.403 · 2 + 1.192 = 1.968
....   ...
x = 82,  y = 15.817
y = 0.000873 · 82³ - 0.00989 · 82² + 0.403 · 82 + 1.192 = 15.818
Answer:
D ) y = 0.0000872 x² - 0.00989 x² + 0.403 x + 1.192
 
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Three machines A, B, and C produce 55%, 25% and 20% respectively. The percentages of defective output are 3.5%, 4.5% and 5.5%. I
pishuonlain [190]

We are given the following information concerning the three production machines;

\begin{gathered} Of\text{ the total production;} \\ A=55\text{ \%}=0.55 \\ B=25\text{ \%}=0.25 \\ C=20\text{ \%}=0.20 \end{gathered}

Also, we are given the percentage of defective output as follows;

\begin{gathered} A=3.5\text{ \%}=0.035 \\ B=4.5\text{ \%}=0.045 \\ C=5.5\text{ \%}=0.055 \end{gathered}

Therefore, if an item is selected randomly, the probability that the item is defective would be;

\begin{gathered} P\lbrack defective\rbrack=(0.55\times0.035)+(0.25\times0.045)+(0.20\times0.055) \\ P\lbrack\text{defective\rbrack}=0.01925+0.01125+0.011 \\ P\lbrack\text{defective\rbrack}=0.0415 \end{gathered}

ANSWER:

The probability that the item is defective would be 0.0415

6 0
1 year ago
in 1950, the population of a city was about 800,000 people. over the next 50 years , the population increased to 1.3 million. fi
nordsb [41]
Subtract 1.3 million from 800,000 and you get ur answer
5 0
3 years ago
ASAP!
ch4aika [34]
The answer is 55° because 75° + 50° = 125°, 180°-125°= 55°
7 0
3 years ago
Read 2 more answers
-<br> (4x – 1) (8w? – 7x + 1)<br> -
Eduardwww [97]

Answer:i dont know

Step-by-step explanation:

3 0
3 years ago
(40 POINTS) PLZ HELP ASAP! DOMAIN AND RANGE! CLICK LINK
MAVERICK [17]

For finding the values, we look at the x - value given. Then we move to where it is on the graph and find its y  value.

In part A, when x = -4, the y value looks to be between -3 and -4. Let's put it in the middle and estimate it at -3.5

In part B, when x = 1, the process is similar.  Go to x = 1, then go to the graph, then go to the y value.  That looks to be at y = -3.

In part C, when x = 4, there are three values that work. We are actually answering part D at this point because we can tell this graph is NOT a function of x. When you have an x -value that goes into the function, you have to get EXACTLY ONE thing that comes out.  I bolded "EXACTLY ONE" because those words make the definition work. Two or more, not a function. One, it's a function. None, and it's not in the domain at all.  There are three values of y that work, and they are - from top down, 3.5, 0, -2.5.

We answered Part D when observing part C. It's NOT a function because there is not EXACTLY ONE value of y for an x.

And finally, because it's not a function - finding the domain and range is a waste of time. You can't find the domain of something that's not a function - you need a function to have a domain.


Hope that helps.

7 0
3 years ago
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