Answer: A linear model is a type of mathematical equation that describes the relationship between two variables, such as median income and the number of bachelor's degrees per 1000 people. In order to estimate the number of bachelor's degrees per 1000 people for Mississippi based on the median income, you would need a linear equation that describes that relationship.
Without that equation, it's not possible to estimate the number of bachelor's degrees per 1000 people for Mississippi based on the median income.
Additionally, without more information about the data that the model was trained on, the correlation between median income and the number of bachelor's degrees per 1000 people and how accurate and reliable the model is, it's difficult to determine the goodness of this estimate. However, in general, a linear model may provide only a rough estimate, especially if the relationship between the variables is complex or non-linear.
Step-by-step explanation:
Find the slope of the line shown on each graph below
The slope of the lines that passes trough the points (-2,-1) and (-4,-7) is m = 3 , (2,-3) and (6,-13) is m = -2.5 , (-3,4) and (-3,-8) is m = undefined , (-5,7) and (3,-1) is m = -1 .
What is slope ?
In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).
The ratio of the increase in elevation between two points to the run in elevation between those same two points is referred to as the slope.
The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. M represents the line's slope. B is the b in the location where the y-intercept is located (0, b).
(-2,-1) and (-4,-7)
m=Δy/Δx
m=(y2−y1)/(x2−x1)
m=(−7−−1)/(−4−−2)
m=−6/−2
m = 3
(2,-3) and (6,-13)m=Δy/Δx
m=(y2−y1)/(x2−x1)
m=(−13−−3)/(6−2)
m=−10/4
m=−5/2
m = -2.5
(-3,4) and (-3,-8)m=Δy/Δx
m=(y2−y1)/(x2−x1)
m=(−8−4)/(−3−−3)
m=−12/0
m is undefined
(-5,7) and (3,-1)m=Δy/Δx
m=(y2−y1)/(x2−x1)
m=(−1−7)/(3−−5)
m=−8/8
m = -1
To learn more about slope from the given link
https://brainly.com/question/3493733
#SPJ1
Choose Yes or No to tell whether the expression represents a 20% discount off the price of an item that originally cost d dollars.
0.8d (yes or no)
d – 0.2 (yes or no)
d – 0.2d (yes or no)
1 – 0.2d (yes or no)
Find X and Y. can someone please help me with this question, thank you
3x + 120° + x + 120° = 360°
4x + 240° = 360°
4x = 120°
x = 30°
y = 1/2 (3x - x)
y = 1/2 (90° - 30°)
y = 1/2 × 60°
y = 30°
Find the sum of the following series
a 1 + 4 + 7 + 10 + ... to 40 terms.
b. 2+7+12+17+ ... + 102.
Answer:
They are in A. P so the sum will be 2380
10. The amount of people using a certain product can be modeled by P = 85(1.2) where t is the
number of years since the product was first released. What is the growth rate?
A) 2%
B) 20%
C) 120%
D) 12%
Answer:
B) 20%
Step-by-step explanation:
Exponential equation:
An exponential equation is given by:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the initial amount and r is the growth rate, as a decimal.
In this question:
[tex]P(t) = 85(1.2)^t[/tex]
Growth rate:
We want to find r, so:
[tex]1 + r = 1.2[/tex]
[tex]r = 1.2 - 1 = 0.2[/tex]
The growth rate is of 0.2 = 2%, and the correct answer is given by option B.
Write the augmented matrix for each system of equations.
-2x - 2y + 5z = 1
-5x - 5y + 7z = 4
9x - 2y + 2z = -1
Answer: it D :)
Step-by-step explanation:
the point (3, 1) is located on a line with slope of 1/3. which point could also be located on the line?
The point (5,5/3) also lies on the line.
A point (x, y) is located on a line with slope m if and only if it satisfies the equation:
y = mx + b
where b is the y-intercept of the line. In this case, we know that the point (3, 1) is located on the line, so we can use the information to find the value of b and then write the equation of the line in slope-intercept form.
The y-coordinate of the point (3, 1) is 1, so we can substitute this into the equation and solve for b:
1 = (1/3) * 3 + b
This simplifies to:
1 = 1 + b
so, b = 0
So, the equation of the line is
y = 1/3 * x +0
Now we can use this equation to find the coordinates of any point that lies on the line. So any point (x, y) that satisfies this equation could also be located on the line.
For example, we can pick any x, calculate corresponding y.
x=5, y=5/3
So point (5,5/3) also lies on the line.
Read more about intercepts here:
https://brainly.com/question/24363347
https://brainly.com/question/25722412
Which could NOT be the shape of the graph of a quadratic function?
Answer:
the bottom right could NOT
the fourth option is the answer (. ^ ᴗ ^.)
You pay $5500 for a municipal bond. When it matures after 20 years, you receive 11,900$. What % is your total return?
A farmer feeds a cow 9300 milligrams of an antibiotic. Every hour, 50% of the drug breaks down in the cow's body. How much will be left in 6 hours?
9514 1404 393
Answer:
about 145.3 mg
Step-by-step explanation:
If half breaks down in the hour, then half remains. That is, each hour the amount remaining is multiplied by 1/2. The remainder after 6 hours is ...
(9300 mg)(1/2)^6 = 145.3125 gm
About 145.3 mg will be left after 6 hours.
Without doing any calculations, compare Expression A to Expression B. ( 34 + 25 ) ÷ 1 4 34 + 25 Which statement is true? A. Expression A is 2 times as great as expression B. B. Expression B is 4 times as great as expression A. C. Expression A is 4 times as great as expression B. D. The two expressions are equal to each other.
Answer:
C. Expression A is 4 times as great as expression B.
Step-by-step explanation:
Without doing any calculations, compare Expression A to Expression B.
A. (34+25) ÷ 1/4
B. 34+25
Which statement is true?
A. Expression A is 2 times as great as expression B.
B.Expression B is 4 times as great as expression A.
C.Expression A is 4 times as great as expression B.
D. The two expressions are equal to each othe
7 long roms of plants
Without doing any calculation,
Expression A = (34+25) ÷ 1/4
= (34 + 25) × 4/1
= 4(34 + 25)
Expression A = 4(34 + 25)
Expression B = 34 + 25
Therefore,
C.Expression A is 4 times as great as expression B.
find the solution to the system of equations y=1/2x +1 y=-x+1
Answer:
x=0, y=1
Step-by-step explanation:
i need help pls i do not get it
The perimeter and the area of the fountain is calculated to be
94.25 feet and 625.32 square feet respectively
How to find the perimeter and the area of the fountainThe perimeter of the fountain consisting of two semicircles and a quarter circle is
= perimeter of semicircle * 2 + perimeter of circle * 1/4
= π d + 2 π r * 1/4
for semicircle, diameter, d = 20 ft
for circle, radius r, = 20 ft
substituting the values
= 20π + 2 * π * 20 * 1/4
= 20π + 10π
= 30π
= 94.25 feet
Area of the fountain
= area of semicircle * 2 + area of circle * 1/4
area of semicircle * 2 = area of circle of radius 10 ft
for semicircle, radius, r = 10 ft
for circle, radius r, = 20 ft
= π 10² + π 20² * 1/4
= 100π + 100π
= 200π
= 625.32 square feet
The area of the fountain is 625.32 square feet
Learn more about area of semicircle at:
https://brainly.com/question/15822332
#SPJ1
Pls, solve this equation with the steps u took. 30 POINTS! posted this for the 2nd time
Answer:
x=2/3
Step-by-step explanation:
when the three turned into a 2 it removed one third, so we need to remove one third from 1, which gives us 2/3.
Basically, if a rectangle side goes from x to y, we figure out the percent decrease, and subtract that percent from the other side to find the variable we need to find on the other rectangle
A high school has found over the years that out of all the students who are offered admission, the proportion who accept is 70%.
After the administration has made some changes to the school, they want to check if the proportion of students accepting
has changed significantly. Suppose they offer admission to 210 students and 156 accept. Is this evidence of a change from
the status quo?
Answer:
The p-value of the test is 0.1738, which means that for a level of significance above this, there is evidence of a change from the status quo.
Step-by-step explanation:
A high school has found over the years that out of all the students who are offered admission, the proportion who accept is 70%. Test if there is a change from status quo.
At the null hypothesis, we test if the proportion is 70%, that is:
[tex]H_0: p = 0.7[/tex]
At the alternate hypothesis, we test if there is a change from status quo, that is, the proportion is different from 70%. So
[tex]H_a: p \neq 0.7[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
70% is tested at the null hypothesis:
This means that [tex]\mu = 0.7, \sigma = \sqrt{0.7*0.3}[/tex]
Suppose they offer admission to 210 students and 156 accept.
This means that [tex]n = 210, X = \frac{156}{210} = 0.7429[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.7429 - 0.7}{\frac{\sqrt{0.7*0.3}}{\sqrt{210}}}[/tex]
[tex]z = 1.36[/tex]
P-value of the test and decision:
The p-value of the test is the probability that the sample proportion differs from 0.7 by at least 0.7429 - 0.7 = 0.0429, which is P(|z| > 1.36), which is 2 multiplied by the p-value of z = -1.36.
Looking at the z-table, z = -1.36 has a p-value of 0.0869
2*0.0869 = 0.1738
The p-value of the test is 0.1738, which means that for a level of significance above this, there is evidence of a change from the status quo.
The pairs of polygons below are similar. Give the sale factor of figure A to figure B
Answer:
Given that Figure A and Figure B are similar polygons, the scale factor of Figure A to Figure B = 5/2.
Recall:
Similar Polygons have corresponding side lengths whose ratio are equal. That is, their pairs of corresponding sides are proportional.
The ratio of any of their corresponding side length = scale factor
Given the two pairs of similar polygons, the scale factor of figure A to figure B will be calculated as follows:
A side length of Figure A = 10
Corresponding side length of Figure B = 4
Scale factor of Figure A to Figure B = 10/4 = 5/2
Step-by-step explanation:
When the angle of elevation to the sun is 49°, Naomi's shadow is 5 feet long. The
shadow of a nearby tree is 8 times as long as her shadow. How tall is the tree to the
nearest foot?
Answer:
46 feet-------------------------------
The height h of the tree is opposite to 49° angle of a right triangle with the other leg:
5*8 = 40 feet longUse tangent to find the value of h:
tangent = opposite/adjacenttan 49° = h/40h = 40*tan 49°h = 46 feet (rounded)The height of the tree is 40 feet to the nearest foot.
How can the height of the tree be found?
It can be found using similar triangles.
Let's call the height of the tree "x".
Since the angle of elevation to the sun is 49°, we have two similar triangles:
Triangle 1: Sun - Naomi - Ground (illustration attached)
Triangle 2: Sun - Tree - Ground
The height of Naomi, 5 feet, is one of the corresponding sides in the two triangles, and the height of the tree, x feet, is the other. We know the ratio of their heights is 8:1, so:
x ÷ 5 = 8
Solving for x, we find that:
x = 40
So the height of the tree is 40 feet to the nearest foot.
To know more about similar triangle visit:
https://brainly.com/question/2644832
#SPJ1
Which property can be used to solve the equation?
10-12
Ο Ο Ο Ο
addition property of equality
O subtraction property of equality
multiplication property of equality
division property of equality
Plz help I’ll give Brainlyest
Answer:
Subtraction property of equality
Step-by-step explanation:
Can someone help me
say something and i give brainlyest
Answer:
Its always ily, but never stwywimc
Step-by-step explanation:
100 POINTS!!! Please help.
Answer:
[tex]\dfrac{1}{a^{20}c^2d^2e^{6}}[/tex]
Step-by-step explanation:
Given expression:
[tex](a^{10}b^{0}cde^{3})^{-2}[/tex]
[tex]\textsf{Apply the exponent rule} \quad a^{-n}=\dfrac{1}{a^n}:[/tex]
[tex]\implies \dfrac{1}{(a^{10}b^{0}cde^{3})^{2}}[/tex]
[tex]\textsf{Apply the exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies \dfrac{1}{a^{(10 \times 2)}b^{(0 \times 2)}c^2d^2e^{(3 \times 2)}}[/tex]
Simplify:
[tex]\implies \dfrac{1}{a^{20}b^{0}c^2d^2e^{6}}[/tex]
[tex]\textsf{Apply the exponent rule} \quad a^0=1:[/tex]
[tex]\implies \dfrac{1}{a^{20}(1)c^2d^2e^{6}}[/tex]
[tex]\implies \dfrac{1}{a^{20}c^2d^2e^{6}}[/tex]
The length of the life an instrument produced by a machine has a normal distribution with mean life of 12 months and standard deviation of 2 months.
What is the probability if X assumes a value greater than 12 months?
Probability that the length of the life of an instrument is greater than 12 months is 0.5 or 50%
If the length of the life of an instrument produced by the machine has a normal distribution with a mean of 12 months and a standard deviation of 2 months, then the random variable X representing the length of the life of the instrument is also normally distributed.
To find the probability that X assumes a value greater than 12 months, we need to use the cumulative distribution function (CDF) of the normal distribution. The CDF is given by the formula:
F(x) = (1/2) * [1 + erf((x - μ) / (σ * sqrt(2)))]
where μ is the mean, σ is the standard deviation, and erf(z) is the error function.
Plugging in the given values, we get:
F(12) = (1/2) * [1 + erf((12 - 12) / (2 * sqrt(2)))] = (1/2) * [1 + erf(0)] = (1/2) * [1 + 0] = 1/2
Since the CDF gives us the probability that X assumes a value less or equal than x, we need to subtract F(12) from 1:
P(X > 12) = 1 - F(12) = 1 - 1/2 = 0.5
So the probability that the length of the life of an instrument is greater than 12 months is 0.5 or 50%.
Read more about probability distribution:
https://brainly.com/question/28021875
https://brainly.com/question/24802582
The table represents a quadratic function C(t).
t C(t)
−2 1
−1 4
0 5
1 4
2 1
What is the equation of C(t)?
C(t) = −(x − 5)2
C(t) = (x − 5)2
C(t) = −x2 + 5
C(t) = x2 + 5
The equation that presents the table will be C(t) = - t² + 5. Then the correct option is C.
What is the equation of the parabola?Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.
Then the equation of the parabola will be given as,
y = a(x - h)² + k
The table represents a quadratic function C(t).
t C(t)
−2 1
−1 4
0 5
1 4
2 1
From the table, the coordinate of the vertex will be at (0, 5). Then the equation is given as,
C(t) = a(t - 0)² + 5
C(t) = at² + 5
The equation is passing through the point (1, 4), then we have
4 = a (1²) + 5
4 = a + 5
a = - 1
The equation that presents the table will be C(t) = - t² + 5. Then the correct option is C.
More about the equation of the parabola link is given below.
https://brainly.com/question/20333425
#SPJ1
Find a line that passes through the points (-1,3) and (5,-1)
y2-y1/x2-x1
= (-1-3)/(5+1)
= -4/6
= -2/3
y = -(2/3)x + c
3 = (2/3) + c
c = -2/3 + 3
c = -2/3 + 9/3
c = -7/3
y = (2/3)x + (7/3)
Using the paths shown, how long is the shortest route from Lexington to Somerville?
Answer:
1 [tex]\frac{1}{4}[/tex] miles
Step-by-step explanation:
the routes from Lexington to Somerville are
Lexington → Brookfield → Somerville with distance
[tex]\frac{3}{8}[/tex] + [tex]\frac{7}{8}[/tex] = [tex]\frac{3+7}{8}[/tex] = [tex]\frac{10}{8}[/tex] = 1 [tex]\frac{2}{8}[/tex] = 1 [tex]\frac{1}{4}[/tex] miles
the other route is
Lexington → Brookfield → Yardley → Somerville with distance
[tex]\frac{3}{8}[/tex] + [tex]\frac{1}{2}[/tex] + [tex]\frac{1}{2}[/tex] = [tex]\frac{3}{8}[/tex] + [tex]\frac{4}{8}[/tex] + [tex]\frac{4}{8}[/tex] = [tex]\frac{3+4+4}{8}[/tex] = [tex]\frac{11}{8}[/tex] = 1 [tex]\frac{3}{8}[/tex] miles
the shortest distance is
Lexington → Brookfield → Somerville , a distance of 1 [tex]\frac{1}{4}[/tex] miles
Instructions: Find BD, given that line AB is the angle bisector of
CAD...please help
Answer:
BD = 2
Step-by-step explanation:
here's your solution
==> in ∆ABC and ∆ ABD
==> angle C = angle D. [ = to 90° ]
==> AB is common side
==> angle BAC = angle BAD. [ BA is angle bisector]
==> hence both traingle are congruent
==> so, BD = BC. [ by C.P.C.T ]
==> BC = 2. [ Given ]
==> BD = 2
hope it helps
HELP PLEASE THIS IS DUE T O D A Y!!!
9. The table below includes information about the vertices of a triangle. Which of the following best represents the missing information?
A. (3,2)
B. (3, -2)
C. (-3, 2)
D. (-3, -2)
Answer:
your answer would be A
Step-by-step explanation:
it is kinda confusing but if you are reflecting off the x axis, you change the y, and if you are reflecting off the y axis, you would change the x
hope this helps and have a nice day!
Which cube root function is always decreasing as x increases?
O f(x) = }X-8
O f(x) = 77-5
*(x) = }}-(5-8)
O f(x) = -7/8+5
Help me please don’t send links geez
Answer:
C
Step-by-step explanation:
A new car loan has a term of loan from 2 - 6 years and the interest rate is between 4% and 8%. what is the longest amount of time you could take to pay off the loan? what is the best interest rate you could get?
a) The longest time a borrower can take to pay off the new car loan of 2 - 6 years is 6 years.
b) Based on the above, the best interest rate the borrower could get is 8%.
How is the interest rate determined?Many factors are considered in determining the interest rate for a loan.
Some of the factors include:
Loan TermLoan TypeCredit ScoreLoan AmountDown PaymentInterest rate type.We know that the longer the term of a loan, the higher the interest rate charged. This higher rate is meant to compensate the lender for the time value of money, made variable by inflation and credit risks.
Thus, if a loan term varies between two and six years, the longest time to pay off the loan is 6 years while the best interest rate the borrower can be granted is 8%.
Learn more about loan terms and interest rates at https://brainly.com/question/11686424
#SPJ1
Tom will create a password for his computer. The password must be a list of three different lowercase letters of the alphabet. How many passwords are possible?