Answer:
Students use linear, quadratic, and exponential functions to model data from tables and choose the regression
most appropriate to a given context. They use the correlation coefficient to determine the accuracy of a
regression model and then interpret the function in context. They then make predictions based on their model
and use an appropriate level of precision for reporting results and solutions.
Lesson 7 focuses on data sets that cannot be modeled accurately, and students are asked
to articulate why. Students use skills learned in Lesson 14 of Module 2 (where they used
calculators to write linear regressions) and apply similar techniques for data sets that are
better suited to modeling with quadratic or exponential regressions. Students use that
same technique to find linear regressions and use their graphing calculators to examine
the correlation coefficient and to find quadratic and exponential regressions. They
compare correlation coefficients to determine which model is best for the data.
Ultimately, students choose the regression model (linear, quadratic, or exponential) most
appropriate to a given data set and then write, verify, and interpret these models in
context. Students need a graphing calculator to complete this lesson. Graphing calculator
instructions are provided, but steps may vary slightly depending on the model of the
graphing calculator.
Refer to the following full modeling cycle during this lesson (Found on page 61 of the CCLS
and page 72 of the CCSSM).
Scaffolding:
Students are more
engaged when working
with relevant and real data
that interests them.
Websites that provide
data sets are a good
resource for classroom
investigations.
This lesson might need to
be divided into two days if
students need more time
to master the technology.
Step-by-step explanation:
Which of the following equations has only one solution?
X( x - 1) = 9
x2 - 6x + 9 = 0
x2 = 9
Answer:
x^2 - 6x + 9
Step-by-step explanation:
x(x - 1) = 9
x^2 - x - 9 = 0
x = 3.54 or x = -2.54 (using quadratic formula)
x^2 - 6x + 9 = 0
(x-3)^2 = 0
x = 3
x^2 = 9
x = ±√3 (any positive number square rooted always have 2 answers)
What is the Additive inverse of -7?
Answer:
7
Step-by-step explanation:
Two numbers are additive inverses if they add to give a sum of zero. 3 and -3 are additive inverses since 3 + (-3) = 0. -3 is the additive inverse of 3. 3 is the additive inverse of -3.
The additive inverse of a number is a number that is the same distance from 0 on the number line, but in the opposite direction. It can also be thought of as the number that you need to add to a number in order for the result to be 0.
Examples
In the number line below, -3 and 3 are additive inverses. If we add the other value to either of the two values, the result will be 0.
-3 + 3 = 0
3 - 3 = 0
The same is true of the other corresponding values on the number line; 5 and -5, 4 and -4, 2 and -2, 1 and -1, and even 0 and 0, are all also additive inverses.
Answer:
7
Step-by-step explanation:
The additive inverse of a number is is the number that, when added to it, yields zero.
(2.5 x 10^6) + (1.2 x 10^3)
whats the answer to this???
Hey
[tex]\text{there}[/tex]
[tex](2.5 \times {10}^{6}) + (1.2 \times{10}^{3}) [/tex]
[tex] {10}^{6}=1000000[/tex]
[tex](2.5\times1000000) + (1.2\times{10}^{3})[/tex]
[tex] {10}^{3} = 1000[/tex]
[tex](2.5 \times 1000000) + (1.2 + 1000)[/tex]
[tex](2.5\times1000000) = 2,500,000[/tex]
[tex](2,500,000) + (1.2 \times 1000)[/tex]
[tex](1.2\times1000)=1,200[/tex]
[tex](2,500,000)+(1,200)=2,501,200[/tex]
[tex] \boxed{ \boxed{ \bf{Answer: \boxed{ \boxed{ \bf{2,501,200}}}}}} \checkmark[/tex]
Good luck on your assignment and enjoy your day!~
[tex] \dfrac{ \frak{LoveYourselfFirst}}{:)}[/tex]
Words
3 x (52 - 12) in word form
Answer:
three times fifty-two minus twelve.
-or-
three multiplied by fifty-two subtracted from twelve.
also if you need the answer to the problem it's 70
Answer: Three times Fifty two minus twelve
Step-by-step explanation:
6. What is an equation of the line that passes
through the point (2, 4) and is perpendicular to
the line whose equation is y = 2x + 1?
Answer:
Using the slope-intercept form, the slope is 2 2 .
Step-by-step explanation:
The equation of a perpendicular line to y=2x+4 y = 2 x + 4 must have a slope that is the negative reciprocal of the original slope.
The total length of wires A,B and C is 445cm. Wire A is 45cm longer then wire B,and wire B is half as long as wire C. How long is wire A?
Answer:
A = 145cm
Step-by-step explanation:
A+B+C = 445cm
b = 1/2c
a = b+45 = 1/2c + 45
445 = c + (0.5c) + (0.5c + 45)
445 = 2c + 45
445 - 45 = 2c
400/2 = c
c = 200cm
a = 1/2c + 45 = 1/2*200 + 45 = 100 + 45 = 145cm
Know how to calculate sample size: A restaurant would like to estimate the average $ amount of a take-out order. The standard deviation is $15. If a 99% confidence level and an interval (error) of $5 is desired, how many customers should be in the sample?
Which of the following examples would use the z-distribution:______.
a. x = 100; µ = 99; s = 5; n = 70
b. x = 50; µ = 53; σ = 7; n = 15
c. x = 7; µ = 4; s = 1; n = 20
d. x = 15; µ = 17; σ = 3; n = 45
least to greatest. 3/20 45% 1/5 7.5% Someone please answer this I need it ASAP
Answer:
3/20, 7.5%, 1/5, 45%
Evaluate and simplify the expression
when x= 3 and y = 5.
2y + 3(x - y) + x2 = [ ? ]
Answer:
13
Step-by-step explanation:
x = 3 & y = 5
2y + 3(x - y) + x² = 2*5 + 3(3 - 5) + 3²
= 2*5 + 3*(-2) + 3²
= 10 - 6 + 9
= 4 + 9
= 13
whats 9+10 ??????????????????????
Answer:
19
Step-by-step explanation:
yerreeer cause u add duh
a number plus the sum of the number
and seven.
Answer:
x+(x+7)
Step-by-step explanation:
sum=add all together
Pat's soccer team has 15 players. 2/3
of the players went out for frozen yogurt after their last win. How many players went out for yogurt?
Answer:
10
Step-by-step explanation:
Refrigerators in a random sample of 55 refrigerators, the mean repair cost was $150.00 and the standard deviation was $15.50. Construct a 90% confidence interval for the population mean repair cost. Interpret the results.
Answer:
146.5619<x<153.4381
Step-by-step explanation:
The formula for calculating the confidence interval is expressed as:
CI = xbar±(z*s/√n)
xbar is the mean = 150
s is the standard deviation = 15.50
n is the sample size = 55
z is the z score at 90% CI = 1.645
Substitute and get CI
CI = 150±(1.645*15.50/√55)
CI = 150±(1.645*15.50/7.4162)
CI = 150±(1.645*2.09)
CI = 150±(3.4381)
CI = (150-3.4381, 150+3.4381)
CI = (146.5619, 153.4381)
CI = 146.5619<x<153.4381
Hence a 90% confidence interval for the population mean repair cost 146.5619<x<153.4381
The minimum cost is approximately $147 while the maximum cost of the refrigerator is $153
convert the common fraction into decimal fraction
[tex] \frac{3}{4} [/tex]
Answer:
We know that 3/4=0.75.When expressed as decimal fraction it is 75/100
P(x)=x^4 - 2x^3 - 3x^2 + 4
What is the remainder when P(x) is divided by (x-3)?
Answer:
The given polynomial is p(x)=x
4
−2x
3
+3x
2
−ax+3a−7
Given that, the polynomial p(x) when divided by (x+1) leaves remainder 19
Therefore, p(−1)=19 (By Remainder theorem)
=>(−1)
4
−2×(−1)
3
+3(−1)
2
−(−1)a+3a−7=19
=>1+2+3+a+3a−7=19
=>4a−1=19
=>4a=20
=>a=5
The value of a is 5
Now,
p(x)=x
4
−2x
3
+3x
2
−5x+3×5−7
=x
4
−2x
3
+3x
2
−5x+15−7
=x
4
−2x
3
+3x
2
−5x+8
Remainder when the polynomial is divided by (x+2)
=p(−2) (By Remainder Theorem)
=−2
4
−2(−2)
3
+3(−2)
2
−5(−2)+8
=16+16+12+10+8
=62
Thus, the remainder of the polynomial p(x) when divided by (x+2) is 62
Step-by-step explanation:
The remainder when P(x) is divided by (x-3) is 8
What is the quotient remainder theorem?The quotient-remainder theorem says that when any integer n is divided by any positive integer d, the result is a quotient q and a nonnegative remainder r that is smaller than d.
Given here, P(x)=x⁴ - 2x³ - 3x² + 4
Now we know from the polynomial remainder theorem that the remainder on dividing by (x-a) is f(a)
Thus P(3)=8
Hence, The remainder is 8
Learn more about the remainder theorem here:
https://brainly.com/question/29046143
#SPJ2
Y=2x^3 linear or nonlinear
Answer: linear
Step-by-step explanation:
Answer:
LINEAR...................
Step-by-step explanation:
y=2x−3 is in slope intercept form for a linear equation, y=mx+b , where m is the slope and b is the y-intercept. The y-intercept is the point at which x=0 and y=−3 , which is point (0,−3) You can plot this point on your graph. The slope is can be described as riserun , and can be written as 21 . Start at (0,3)
The average age of all the JSOM students is 24 years with a standard deviation of 9 years. Of 8,000 students, a random sample of 36 students is selected. What is the probability that the sample mean will be between 25.5 and 27 years?
Answer:
The probability that the sample mean will be between 25.5 and 27 years is 0.1359.
Step-by-step explanation:
Let X denote of age of JSOM students.
The information provided is:
[tex]\mu=24\\\sigma=9\\n=36[/tex]
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu\\[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
As the sample size is large, i.e. n = 36 > 30, the sampling distribution of the average age of all the JSOM students can be approximated by the normal distribution.
Compute the probability that the sample mean will be between 25.5 and 27 years as follows:
[tex]P(25.5<\bar X<27)=P(\frac{25.5-24}{9/\sqrt{36}}<\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{27-24}{9/\sqrt{36}})\\\\=P(1<Z<2)\\\\=P(Z<2)-P(Z<1)\\\\=0.97725-0.84134\\\\=0.13591\\\\\approx 0.1359[/tex]
Thus, the probability that the sample mean will be between 25.5 and 27 years is 0.1359.
Which number has the least value?
1. 2 3/4
2. 5/2
3. 2.62
4. 245%
Help! Will mark brainliest!
Check all that are solutions to −0.25 ≤ 0.5sin(2x) and over 0° ≤ x ≤360°.
Answer:
A C E
Step-by-step explanation:
I'm a little late but I hope this still helps!
Answer:
yeah what he said. A C E
Step-by-step explanation:
I just did the assignment and its right
Plz help with A and D!
Answer:
Yes it's B or C
Step-by-step explanation:
Find the circumference of a circle whose
area is 49pi sq units.
Answer: C=2πr
r Radius
ME NEEDS SOME HELP WITH MATH PLS
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]The \: \: correct \: \: answer \: \: is \: \: (( C )) . \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Your classmate tells you the details of the great deal he got on his mortgage: 30-year 1.1% fixed rate with a 20% down payment
If his new home costs $136,000, what is his down payment?
Answer:
27200
Step-by-step explanation:
How many solutions are there?
Answer:
only one, as x is just one thing as in x=589247 or x=390538
Step-by-step explanation:
Tina wants to buy a bouquet
of red roses. The original price
is $24. How much will Tina PAY
if she buys it during the sale
when it is 25% off?
Answer:
18
Step-by-step explanation:
If we know she will have a 25% discount, we know she will only pay 75%. So you divide by 4 and get 6. So now, If we subtract 25% (6), our 75% will be 18.
Answer:
It's 18
Step-by-step explanation:
25 percent of 24 is 6 dollars, subtract 6 from 24, you get 18, your welcome :D
please help i will give brainlyest
Answer:
1 (6/6)
Step-by-step explanation:
because 1/3 will turn into 2/6 so when you add them it will be 6/6 :)
Answer:
6/6 which would be simplified as 1
Step-by-step explanation:
First you have to mutiply the second fraction by 2, both numbers so that both of the bottem numbers in both fractions are the same. Then you add the top numbers and the bottem ones stay the same, which would be 6/6
Then if you have an anoying math teacher, like me, who wants you to simplify everything that answer would be one
Write the list of numbers in order from smallest to largest.
0.551, 0.554 , 5/6
can someone help me pls
Answer:use a calculator if you want since all you do is put in the calculator
Step-by-step explanation:
3/7 is 0.428571428
meanwhile 1/4 is 0.25...
which one do you think is bigger
3/7
so it is greater
What is the value of h(2)?
-2
-1 0 3
Answer:
103 is ur answer hope this helps
Answer:
The answer is 0 or C on Edge.
Step-by-step explanation:
Got it right. 2021.
If f(x)=8x+16, then find f-1 (x)