An approximate equation for the line of best fit is y-hat = 0.018x - 24.5111.
How to explain the equation?A linear regression equation for the line of best fit would be y-hat = 0.018x - 24.5111 where
y-hat is the predicted value for the recorded weight gain (in pounds)
x is the additional daily caloric intake.
b) The pony's additional calorie intake increases, the weight gain also increases in pounds
c) Set x equal to 2300 and solve for y-hat:
y-hat = 0.018x - 24.5111
y-hat = 0.018(2300) - 24.5111
y-hat = 41.4 - 24.5111
y-hat = 16.8889
Therefore, the predicted value for the weight gain based on an additional 2300 calorie intake is 16.9 pounds.
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Through any two points there is exactly one______
1/2n+3=6
what does n equal?
Answer:
[tex]n = \frac{1}{6} [/tex]
Step-by-step explanation:
[tex] \frac{1}{2n} + 3 = 6[/tex]
[tex] \frac{1}{2n} = 6 - 3[/tex]
[tex] \frac{1}{2n} = 3[/tex]
[tex]1 = 6n[/tex]
[tex]n = \frac{1}{6} [/tex]
us
Find the point-slope equation for
the line that passes through the
points (-6, 24) and (5, -31). Use
the first point in your equation.
Answer:
first box is 24
second is -5
third is -6
Step-by-step explanation:
Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of
the home has increased about 5% per year. How much is the home worth today?
Answer:
The home is worth $424,528 today
Step-by-step explanation:
To get the worth of the home today, we are going to use the exponential formula
We have this as follows;
A = P(1 + r)^t
where A is the value of the house after some time t
P is the initial value the home was worth which is $160,000
r is the rate of increase in the price of the home which is 5% = 5/100 = 0.05
t is the number of years which is 20
substituting these values;
A = 160,000(1 + 0.05)^20
A = $424,528
Trevor is considering two loan options for
buying a home in Haslet.
Thrifty Hometown
Bank Bank
Loan
$124,000 $124,000
Amount
Interest Rate 3%
4%
Time
Monthly
$856.32 $591.99
Payment
15 years
30 years
Which describes the relationship between the
total amounts that Trevor would pay over the
course of the two loans?
a. He would pay $47,638.80 more with
the Hometown Bank loan.
b. He would pay $47,638.80 more with
the Thrifty Bank loan.
c. He would pay $58,978.80 more with
the Hometown Bank loan.
d. He would pay $58,978.80 more with
the Thrifty Bank loan.
What is the value of v? Help, please
Answer:
v = 87
Step-by-step explanation:
the angle v+39 lies on a straight line. so substract v+39 from 180 to get the interior angle for that side.
afterwards, knowing that the sum of interior angles of a triangle = 180, form an equation with all the angles and solve for v
Paula is making posters for the school election. The table shows the number of posters, , she can make in m minutes. which equation represents the relationship between the number of posters she can make and the time and minutes it takes her to make the posters. please help
Answer:
KitKat
Step-by-step explanationKitKat
complete the equation of this circle
Answer:
(x - 3)² + (y - 2)² = 16
Step-by-step explanation:
The center of the circle is (3, 2).
The radius of the circle is 4.
(x - 3)² + (y - 2)² = 4²
Answer: (x - 3)² + (y - 2)² = 16
The complete equation of this circle with center (3, 2) and radius 4 units is
(x - 3)² + (y - 2)² = 4²
Used the concept of the equation of the circle which stated that,
The standard form of the equation of a circle is,
(x - h)² + (y - k)² = r²
Where, (h, k) is the center of the circle and 'r' is the radius of the circle.
Given that,
The center of the circle is (3, 2).
And, The radius of the circle is 4.
Here, (h, k) = (3, 2)
And, r = 4
Substitute all the values in the standard form of the equation of a circle,
(x - 3)² + (y - 2)² = 4²
Therefore, the equation of a circle,
(x - 3)² + (y - 2)² = 16
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what is the solution to the equation?
x=3
x=1
x=-1
x=-3
Answer:
x= - 3
Step-by-step explanation:
2x - 3= 4x + 3
2x = - 6
x = - 3
A park charges $13 for one round of miniature golf and a reduced fee for each additional round played. If Tom paid $43 for 6 rounds of miniature golf, what is the reduced fee for each additional round played?
Answer:
Reduced fee for each additional round will be $5.
Step-by-step explanation:
Let the reduced fee for each additional round played = $x
Charges for one round = $13
If Tom played for 6 rounds, total charges for the 6 rounds = 13 + 6x
Since, Tom paid $43 for 6 rounds,
13 + 6x = 43
6x = 43 - 13
6x = 30
x = 5
Therefore, reduced fee for each round will be $5.
Given a special license plate tag consists of 5 characters for a small country. The first
characters is a digit between 1-6. The second and third characters are letters that
can not repeat. The last two characters can be any digits. How many unique tags
are possible?
351,000 tags
405,600 tags
325,000 tags
390,000 tags
Answer:
D
Step-by-step explanation:
Remark
First characters: 6 choices
Second two characters: 25 * 26
Third set of 2: 10 * 10 = 100
6 * 25 * 26 * 100 = 390000
Two of the angles in a triangle measure 57° and 73°. What is the measure of the third angle?
Answer:
The third angle is 50°
Step-by-step explanation:
In a triangle, all the angles must add up to 180° such that:
[tex]180= a+b+c[/tex] where a , b, and c are all angles
Since we know that two of the angles are 57° and 73°, we can subtract them from 180° to find the third angle.
Using the above equation, we can rearrange it to solve for the missing value:
180°= a + b + c
180°=57°+ 73° +c Substitute the angles in for any 2 variables
180°- 57°-73°= c Rearrange the equation to solve for last variable
50°= c
The third angle is 50°
What are the steps to solving this?
Answer:
m = 6[tex]\sqrt{3}[/tex] , n = 6
Step-by-step explanation:
Using the sine and cosine ratios in the right triangle and exact values
cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex] , then
cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{m}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2m = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
m = 6[tex]\sqrt{3}[/tex]
and
sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{n}{12}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )
2n = 12 ( divide both sides by 2 )
n = 6
the quality rating of 8 movies showing at a movie theater near you is 5.6, 7.9, 7.0, 5.9, 7.8, 6.2, 6.4, and 5.2. What do the ninth movies need to be for the theater to average a movie rating of 6.4?
Answer:
5.6
Step-by-step explanation:
Given :
Quality rating for 8 movies :
5.6, 7.9, 7.0, 5.9, 7.8, 6.2, 6.4, 5.2
Let rating for the 9th movie = x
Average quality rating olfor the 9 movies = 6.4
To find x :
Sum of all ratings / number of ratings = 6.4
(5.6 + 7.9 + 7.0 + 5.9 + 7.8 + 6.2 + 6.4 + 5.2 + x) / 9 = 6.4
(52 + x) / 9 = 6.4
52 + x = 57.6
x = 57.6 - 52
x = 5.6
15 points shawtyssss
Answer:
Step-by-step explanation:
Find the worth of B and E and add them
pleaseee what is ittt
Answer:
positive slope is shown by the graph
2. Simplify each expression.
6n + 3 + 2n
99-9-9
2p + 3p+ 6-p-3
2.25(14.3m + 6 + 2.7m)
Answer:
[tex]6n + 3 + 2n = 8n + 3[/tex]
[tex]99-9-9 = 81[/tex]
[tex]2p + 3p+ 6-p-3 = 4p + 3[/tex]
[tex]2.25(14.3m + 6 + 2.7m) = 38.25m + 15.5[/tex]
Please help- will give brainlist. If possible please tell me how you got the answer.
Answer:
Area is 124.8999
Can someone answer these 3 plz like I need these so bad rn. I would really appreciate it if someone who knows it can answer and help me out! Thank you
Answer:
for the first photo the answer is 5x + 6(-x + 4) = 13
Step-by-step explanation:
if y equals to -x +4
then replace the y in this equation: 5x + 6y = 13 with this ( -x +4 ) its simple.
I cannot answer the other 2 photos at the moment but ill see if I can whenever else I have time.
What is the numerical probability of selecting a jury with 10 men and 2 women?
out of 29 men and 26 women
Answer:
Let E denote the event of choosing a jury with 10 men and 2 women.
The sample space for selecting 12 members from the pool contains 55C12 elements.
The number of ways of selecting 10 men and 2 women is 26C10 29C2.
The probability of event E =
The probability of selecting a jury with 10 men and 2 women is 0.005 (0.5%).
Step-by-step explanation:
see the image :
Answer:
The probability of selecting a jury with 10 men and 2 women out of out of 29 men and 26 women is 0.005 (0.5%)
Step-by-step explanation:
Let P(E) denote the probability of choosing a jury with 10 men and 2 women out of 29 men and 26 women.
The sample space for selecting 12 members from the total no of member will be 55c12
The number of ways of selecting 10 men and 2 women is 26c10 29c2.
The probability of event E = [tex]$=P(E)=\frac{{ }_{20} C_{10} \times{ }_{20} C_{2}}{-C_{12}}$[/tex]
[tex]$=\frac{5,311,735 \times 406}{438,729,741,450}$[/tex] [tex]$=0.005$.[/tex]
The probability of selecting a jury with 10 men and 2 women is 0.005 (0.5%).
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Find the volume of the rectangular pyramid please help me guys
Answer:
160 ft^3
Step-by-step explanation:
The volume formula is the same as a rectangular prism, lwh
So if we plug in the numbers, it'd be 12*4*10
Which equals 160 :))
Answer:
160
Step-by-step explanation:
v = L * W * H / 3
The Foley Products Company has designed a new blend of concrete they believe will be twice as strong as their current high quality concrete. This new blend of concrete is believed to produce batches with a population mean strength of 15,000 psi and a population standard deviation of 2,000 psi. To validate this belief, they collect a random sample of 49 concrete batches out of all the batches produced at their plant in a particular week. The mean strength of the random sample of 49 concrete batches is measured to be 14,731 psi. Select the correct description of the population in this study.
Answer:
All of the batches of the new blend of concrete made at their plant in a particular week.
Step-by-step explanation:
The population refers to all the subjects or data which which meets the condition or requirement of a certain experiment or research. This means that all the set of similar items or subjects which is of interest in a certain study is the population. In the scenario above, the population will be the set of all the new blend concrete which are made in the plant within a certain week. Thereafter, if a sample is required it will be drawn from these set of data or observation.
Which of the following identifying information is contained in a credit report?
A. Height and weight
B. Driver’s license number
C. Employment history
D. All of the above
Convert the following angle from degrees to radians. Express your answer in simplest
form.
360°
Answer:
360° 2π rad 6.283185 rad
Tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random. What
is the probability that the ticket drawn has a number which is a multiple of 3?
Geometry help please! Thank you
Answer:
ZWXY
Step-by-step explanation:
The other shape is the same but you want to name it the same way that they named the first one
if the mean of 12,16,22,X 28 is 19.6 find X
Answer:
20
Step-by-step explanation:
A data is given and the mean of data is 19.6 .The data is ,
12 , 16 , 22 , x , 28 .
We know that the mean is sum of observations divided by Total number of observations . So that ,
⇒ 12 + 16 + 22 + x + 28/ 5 = 19.6
⇒ 78+x/5 = 19.6
⇒ 19.6 × 5 = 78 + x
⇒ 78 + x = 98
⇒ x = 98 - 78
⇒ x = 20
Hence the value of x is 20 .PLEASE HELP 10 POINTS PLEASE
Answer:
80 Degrees
Step-by-step explanation:
just flip and overlap the figure (in your mind)
calculate the mean deviation for the number 75 85 96 100 121 125
Answer:
i got 15.1
Step-by-step explanation:
If 23,600,000 is written as 2.36 x 10" what is the value of n?
Step-by-step explanation:
there are 7 decimal places from between 2 and 3 to the very end. so the answer is 7
Answer: 2.36x^10
Step-by-step explanation: