The life expectancies of residents of a country for which the average annual income is $80,000 for the three models are 12309.9352, 172.2436 and 4828.1393
The life expectancies of the models are given as:
[tex]y =69.9352 + 0.1530\times (income)[/tex] --- model 1
[tex]y =4.2436 + 0.0021\times (income)[/tex] --- model 2
[tex]y =4.1393 + 0.0603\times (income)[/tex] --- model 3
Given that the average annual income is $80,000;
We simply substitute 80000 for income in the equations of the three models.
So, we have:
Model 1
[tex]y =69.9352 + 0.1530\times (income)[/tex]
[tex]y =69.9352 + 0.1530\times 80000[/tex]
[tex]y =12309.9352[/tex]
Model 2
[tex]y =4.2436 + 0.0021\times (income)[/tex]
[tex]y =4.2436 + 0.0021\times 80000[/tex]
[tex]y =172.2436[/tex]
Model 3
[tex]y =4.1393 + 0.0603\times (income)[/tex]
[tex]y =4.1393 + 0.0603\times 80000[/tex]
[tex]y =4828.1393[/tex]
Hence, the life expectancies are 12309.9352, 172.2436 and 4828.1393
Read more about linear models at:
https://brainly.com/question/8609070
Which inequality represents this sentence?
A number is at least 65
On < 65
On > 65
On > 65
On < 65
Answer:
n ≥ 65Step-by-step explanation:
A number is at least 65. It means the number n can be 65 or greater.
Its translation is:
n ≥ 65The answer options don't have this included.
Let the number be n
At least 65 means the number is equal to 65 or greater than 65.Hence here we use greater than equal to sign.Inequality:-
[tex]\\ \sf{:}\Rrightarrow n\geqslant 65[/tex]
Hurry !!!A typical barrel of bot-oil contains 70 liters of oil. If a hole in the barrel is causing a constant 6 liters an hour leak, use a function to show the amount of oil in the barrel over time.
Answer:
y = -6x + 70
Step-by-step explanation:
Since the amount of oil in the tank decreases constantly, we need to create a linear function. Using the base form, y = mx + b, we can replace -6 for m because volume decreases by 6 (or increases by -6) each hour, and +70 for b because we start off with 70 liters of oil. So we get y = -6x + 70, with x representing the number of hours, and y representing the volume of oil remaining.
Simply using quadratic formula! Brainliest will be awarded if correct
Answer:
[tex]\left \{ {{y1=-1.2+0.4i} \atop {y2=-1.2-0.4i}} \right.[/tex]
Step-by-step explanation:
5y + 12 = [tex]\frac{-8}{y}[/tex]
y*(5y+12)=-8
5[tex]y^{2}[/tex] + 12y = -8
5[tex]y^{2}[/tex] + 12y + 8 = 0
Δ(Delta) = [tex]b^{2}[/tex] - 4ac
= [tex]12^{2}[/tex] - 4*5*8
= -16
Δ<0
therefore we have complex number
y = [tex]\frac{-b}{2a}[/tex] ± [tex]\frac{\sqrt{|Delta|} }{2a}[/tex]
[tex]\left \{ {{y1=-1.2+0.4i} \atop {y2=-1.2-0.4i}} \right.[/tex]
HELP PLEASE
I NEED TO CHECK OFF THE TWO FUNCTIONS USED TO CREATE THE GRAPH BELOW
PLEASE HELP ITS 10TH GRADE GEOMETRY
Hope you could get an idea from here.
Doubt clarification - use comment section.
write tan(t)/cos(t) in terms of sin(t)
[tex]\dfrac{\tan t}{\cos t}\\\\\\=\dfrac{\tan t \cdot \cos t}{\cos t \cdot \cos t}\\\\\\=\dfrac{\sin t}{\cos^2 t}\\\\\\=\dfrac{\sin t}{1 - \sin^2 t}\\[/tex]
make r the formula t=r/r-3
Answer:
R = 3t/t₋1
Step-by-step explanation: I'm not sure if its correct.
Help help help math math
Answer:
V = 4000 ft³
Step-by-step explanation:
if diameter is 20 then radius is half that, or 10
use formula:
V = 4/3(3)(10)³
V = 4(10)³
V = 4(1000)
V = 4000 ft³
Slow and steady wins the race. The leatherback sea turtle is the fastest known reptile, with a maximum speed of 21.92 21.9221, point, 92 miles per hour ( mph ) (mph)left parenthesis, start text, m, p, h, end text, right parenthesis. Which of the following equations, where d dd is distance in miles and t tt is time in hours, represents a speed that is less than that of the leatherback sea turtle?
Answer:
ang hirap naman plss answeer
Use the equation 4.9x-1.9=27.5
What two properties of equality do you need to use to solve the equation?
The two properties of equality that is needed to solve for the equation are addition property of equality and division property of equality.
i cant decide if its b or d please help for brainlist !!!!!!!!!!!!!
This is right answer because option d only shows that y are multiples in sequence but this answer shows the correct sequence
A is correct! Our base number is 9 since it's at x = 0. The number gets smaller as x increases, so it will be 1/3 instead of 3.
Hope this helps :)
(9x-3)+(5x+5)+2(7x-15)=168 what is the value for x
Answer:
x = 3Step-by-step explanation:
(9x - 3) + (5x + 5) + 2(7x - 15) = 168=> 9x - 3 + 5x + 5 + 14x - 30 = 168=> 9x + 5x + 14x - 28 = 168=> 28x = 168 + 28=> 28x = 196=> x = 3Conclusion:
Therefore:
x = 3Hoped this helped.
[tex]GeniusUser[/tex]
helppppppppppppppppppppppppppp
Answer:
-1/2
Step-by-step explanation:
It is negative because of the direction the line.
It is one half because it rises one and runs two.
I hope this helps!
Answer:
The slope is -1/2
The slope intercept is 2
The form is y = 2 - 1/2x
solve one step equation
x/4 = 16
Hi there!
Since this is a one-step equation, we can solve it in one step.
This step is multiplying both sides by 4 to isolate x:
x=16*4
x=64
Therefore, x=64.
Hope it helps!
~GracefulGirlie
Good luck. :)
Answer:
X = 64
Step-by-step explanation:
x/4 = 16
Multiply both sides by 4
x = 16 x 4
Multiply 16 and 4 equals 64
I used the Microsoft math solver app, if this answer is correct you can use it as a tool for future math problems. I used it a lot in my math class. Hope this helps :)
1
View NON-CALC.
Sam plays a game with a fair dice.
if he rolls a 1 or 2 he rolls again
if he rolls a 3 he wins
If he rolls a 4,5 or 6 he loses.
When he has to roll again,
if he rolls a factor of 6 he wins
If he rolls a number which is not a factor of 6 he loses,
a) Complete the tree diagram,
First roll
Second roll
Not a factor of 6
1 or 2
Factor of 6
DI
3
4,5 or 6
b) Is Sam more likely to win or lose?
You must calculate the probability he wins.
Answer:
The probability of winning directly is, as you calculated, 8/36, and the probability of losing directly is (1+2+1)/36=4/36.
For the remaining cases, you need to sum over all remaining rolls. Let p be the probability of rolling your initial roll, and q=6/36=1/6 the probability of rolling a 7. Then the probability of rolling your initial roll before rolling a 7 is p/(p+q), and the probability of rolling a 7 before rolling your initial roll is q/(p+q). Thus, taking into account the probability of initially rolling that roll, each roll that doesn't win or lose directly yields a contribution p2/(p+q) to your winning probability.
For p=5/36, that's
(536)25+636=2511⋅36,
and likewise 16/(10⋅36) and 9/(9⋅36) for p=4/36 and p=3/36, respectively. Each of those cases occurs twice (once above 7 and once below), so your overall winning probability is
836+236(2511+1610+99)=244495=12−7990≈12−0.007.
Step-by-step explanation:
Suppose you throw a 4 and let p(4) your winning probability. At your next roll you have a probability 3/36 of winning (you throw a 4), a probability 6/36 of losing (you throw a 7) and a probability 27/36 of repeating the whole process anew (you throw any other number). Then:
p(4)=336+2736p(4),so thatp(4)=13.
Repeat this reasoning for the other outcomes and then compute the total probability of winning as:
ptot=836+336p(4)+436p(5)+…
Two negative integers have a sum of -18 and a
product of 80. What are the integers?
Separate the answers with a coma.
Answer:
-10, -8
Step-by-step explanation:
a + b = -18
a * b = 80
Solve:
from the first eq.
a = 18 - b
replacing this value in the secon eq.
(18-b)*b = 80
18*b + b*-b = 80
-b² + 18b = 80
-b² + 18b - 80 = 0
b = {-18±√((18)² - (4*-1*-80))] /(2*-1)
b = {-18±√(324.320)} / -2
b = {-18±√4} / -2
b = {-18±2} / -2
b₁ = {-18-2} / -2 = -20/-2 = 10
b₂ = {-18+2} / -2 = -16/-2 = 8
The two number must be negatives, so the numbers are:
-10 and -8
Check:
-10 + (-8) = -10 - 8 = -18
-10*-8 = 80
explain how to plot the point (-5.5, 3) and identify which quadrant it is in
Answer:
well -5.5 is the left side of the graph then goes up 3 y which brings you to the -x positive y quadrant or the top left quadrant which is quadrant 2
Define Rational number? And give some examples..
Answer:
Any number that can be written as a fraction with integers is called a rational number . For example, 17 and −34 are rational numbers. (Note that there is more than one way to write the same rational number as a ratio of integers. For example, 17 and 214 represent the same rational number.)
PLEASE HELP ASAP I NEED ANSWER IN LESS THAN 9 HOURS
Answer:
I dont really know if this is right, but for 5, y=5. I don't know what 6 is. Sorry.
1/3 + 1/2 + 4/5 jdnjfnawbfaibgfiabfwhbruwbrfywhfywg8eyfhwa8uofhawufhaw
Answer: 49/30 or, 1 19/30
What is the value of x in this equation? Enter your answer in the box.
(2.4 x 10^3) x (3 x 10^x) = 7.2 x 10^9
Answer:
6
Step-by-step explanation:
(2.4×10³)×(3×10^x)=7.2×10^9
(3x10^x)=(7.2×10^9)/(2.4×10^3)
3×10^x=3×10^6
10^x=10^6
*when bases are same ,powers are equated*
thus x=6
2x+y=−1.5
y=3.5x+15.
Answer:
x=-3, y=4.5
Step-by-step explanation:
Write a two-column proof.
I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP!
refer to images for question
MUST WRITE FULL PROOF
Proof:-
In ∆XYZ and ∆VWZ
[tex]\because\sf\begin{cases}\sf XZ\cong VZ(Given)\\ \sf YZ\cong WZ(Given)\\ \sf <XZY\cong <WZV(Opposite angles)\end{cases}[/tex]
Hence
∆XYZ[tex]\cong[/tex](Side-Angle-Side)
A company is shipping toys
to stores in boxes. Each
box will hold 16 toys.
How many boxes will be
needed to ship 2,944 toys?
Answer:
184 boxes
Step-by-step explanation:
Hope it helps:)
DETERMINE WHICH OF THE LINES ARE PARALLEL OR PERPENDICULAR thx sm
Answer:
Parallel: a and b
Perpendicular: none
Step-by-step explanation:
You are given the coordinates of each line.
To check if they are parallel or perpendicular, need to find slope.
In this case we can use :
m = (y2 - y1) / (x2 - x1)
So for line a:
(1,5) and (-2, -4)
slope = (-4 - 5) / (-2 - 1)
slope = -9/-3
slope = 3
Line b:
(3, 2) and (1, -4)
slope = (-4 - 2)/(1 - 3)
slope = -6/-2
slope = 3
Line C:
(6, 1) and (-4, 2)
slope = ( 2 - 1) / ( -4 -6)
Slope = 1/ -10
slope = - 1/10
Line A and B are parallel because their slopes are the same.
To check if they are perpendicular, we need to know if their slopes are reciprocals.
Here none of them are perpendicular to each other
The sum of 423 and 65 is
Answer:
488
Step-by-step explanation:
One angle, Angle A = 80° find the other angle, Angle B
Hint: They are formed on a line.
If 2 angles are formed on a line, then they make a supplementary / linear pair of angles, i.e, both the angles form 180°.
Here,
Angle A = 80°
Angle B = x°
So,
Angle A + Angle B = 180°
80° + x° = 180°
x° = 180° - 80°
x° = 100°
=》 Angle B = 100°
_____
Hope it helps ⚜
Hey help pls pls pls pls pls
Answer:
coefficient of xwrite the equation in slope-intercept form35Step-by-step explanation:
The value -105 is the coefficient of x.
The slope is most easily read from the equation when it is in slope-intercept form. In that form, the slope is the coefficient of x. You could say Kim forgot to write the equation in slope-intercept form.
When the equation is written in that form, it becomes ...
165 -105x +3y = 0
165 -105x = -3y . . . . subtract 3y
-55 +35x = y . . . . . . divide by -3
y = 35x -55 . . . . . . in slope-intercept form
The correct slope is 35.
Karla is reading about a type of single-celled microorganism that can live inside the human body. This type of organism can be either harmful or harmless to people, depending on the type. One harmless type lives in the intestines and helps the body digest food. One harmful type can cause strep throat. Which type of organism is Karla most likely reading about?
The shortest side of a right triangle measures 16 m. The lengths of the other two sides are consecutive . Find the lengths of the other two sides.
Answer:
this is hard
Step-by-step explanation: