The regression line is y = 10x + 300, and the value of calories is 90 and when x = 14 the value of y = 440 from the regression line, but the actual value is 330.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph.
It's a kind of linear regression that uses scatter data to figure out the best way to define the dot's relationship.
From the data given, we can write the slope and y-intercept form:
y = mx + b
here, m = 10 and b = 300
y = 10x + 300
The number of fat grams in an item has that number of fat calories.
As we have the regression line:
y = 10x + 300
Put x = 1 in the regression line:
y = 10(1) + 300
y = 310 calories
For x = 14
y = 10(14) + 300 = 440
But the actual value from the graph is 330.
Thus, the regression line is y = 10x + 300, and the value of calories is 90 and when x = 14 the value of y = 440 from the regression line, but the actual value is 330.
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A half-marathon is 13 miles, how many kilometers is that?
26 km
82.36 km
20.92 km
209.31 km
Answer:
The correct answer would be 20.92
express the set x < 1 using interval notation
Answer:
(−∞,1)
Step-by-step explanation:
What is the slope of a line that is parallel to the line y = 3/4x + 2?
Answer:
in this form the first one next to the x is the slope and the added value is the y intercept
if something is parrell that means the same slop so
3/4
Hope This Helps!!!
3x+4y=24 ,4x+3y=22 simultaneous equations simultaneous equ
Answer:
x=64
y=54
Step-by-step explanation:
3x+4y=24 4(24-4y\3)+3y=22
x=24-4y/3 96-12y\3+3y=22
x=24-4(54)/3
x=-64 96/3-22=3y/3
y=54
(02.01)
Solve for x: (x+20)/2=3x
What is the range of possible sizes for side x?
If x is the largest side :
x < 4.1 + 1.3x < 5.4If 4.1 is the greatest side :
4.1 < x + 1.3x > 2.8Range of possible sizes for side 'x' :
2.8 < x < 5.4Use a Maclaurin series derived in this section to obtain the Maclaurin series for the given functions. Enter the first 3 non-zero terms only.
f(x) = cos(5x2) =______+...
f(x) = sin(-pix) =______+...
f(x) = xtan-1(5x) =_____+...
f(x) = x2e-x/2 =______+...
I think of a number and divide it by 3. The result is 2 less than the number I first thought of. Find the number I first thought of.
Answer:
Let the number be x
so, x/4 = x-3
x = 4(x-3)
x= 4x-12
x-4x = -12
-3x = -12
x= 12/3
x = 4
Step-by-step explanation:
Hope this helps! (:
Please mark me Brainliest!Assume that the number of patients visiting a medical facility in a day is distributed as a poisson variable. the mean number of patients visiting is 16 per day.
what is the probability that the number of patients visiting is 15 in a day.
find the mean number of days in a month (30 days) with 15 patients visiting.
Using the Poisson distribution, it is found that:
The probability of 15 patients in a day is of 0.0992.In a month, the mean number of days with 15 patients is of 2.976.What is the Poisson distribution?In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
The parameters are:
x is the number of successese = 2.71828 is the Euler number[tex]\mu[/tex] is the mean in the given interval.In this problem, the mean is of [tex]\mu = 16[/tex], hence the probability of 15 patients in a day is given by:
[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]
[tex]P(X = 15) = \frac{e^{-16}16^{15}}{(15)!} = 0.0992[/tex]
Hence the mean number of days in a month (30 days) with 15 patients visiting is given by:
M = 30 x 0.0992 = 2.976.
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If triangle DAB = Triangle CBA
Angle D = 132 degrees and Angle C = x + 18
x = ?
please help
Answer:
x = 114
Step-by-step explanation:
since the triangles are congruent, then corresponding angles are congruent, that is
∠ C = ∠ D
x + 18 = 132 ( subtract 18 from both sides )
x = 114
help mee please anyone
Answer:
1.A - B
1.B - D
1.C - [unsure]
Step-by-step explanation:
this ven diagram shows sports played by 10 students.
let event a = the student plays basketball
let event b = the student plays soccer
what is p(A/B)?
There are 20 teachers and 705 students in Corey's school.
What is the ratio of teachers to students?
A. 725:20
B. 705:20
C. 20:725
D. 20:795
Answer:
all the options are incorrect
Given - 20 teachers
- 705 students
To find - ratio of teachers to students
20/705
20 : 705 .
!!!!!!!!!!!!!!!!!!!help!!!!!!!
Answer: Answer below.
Step-by-step explanation: Attached is my work. Hope it is helpful!
if the formula for number of people in bus is p=50b, where k= 50 people per bus show me the formula for number of buses per person ?
The formula for number of buses per person is b = p/50
This is a way of using a variable to represent other variables in a function.
Given the expression
p = kb
If k = 50, then;
p = 50b
Make b the subject of the formula
p/50 = 50b/50
b = p/50
Hence the formula for number of buses per person is b = p/50
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can someone help me with this problem pleaseee
Answer:
x-intercept: (-5, 0)
y-intercept: (0, -4)
Step-by-step explanation:
The x-intercept is as the name implies when the line intersects the x-axis (the horizontal axis) or when y is equal to 0. If you look at the graph it intersects the x-axis at (-5, 0). The y-intercept follows the same concept except it's when it intersects the y-intercept (vertical axis) or when x is equal to 0. If you look at the graph it, it intersects the y-axis at (-4, 0).
Which numbers are irrational? Select all that apply.
9/15
О 18
О 9
о 169
√78
О п
Answer:
⇒ π and √ 78
Rational number:
A number that can be expressed exactly by a ratio of two integers. Integer is usually defined as one of the positive or negative numbers 1, 2, 3, etc., or zero. An example of a rational number is a repeating decimal. A repeating decimal is a decimal numeral that, after a certain point, consists of a group of one or more digits repeated as infimum, as 2.33333.... or 23.0218181818...
Irrational number:
A number that cannot be exactly expressed as a ratio of two integers. An example is a infinite decimal which is a nonterminating decimal, a decimal numeral that does not end in an infinite sequence of zeros (contrasted with terminating decimal). Example: 2.3459810212901....
_________________________
Rational numbers.
The number 9/15 is equal to 0.6 which is a terminating decimal and is therefore, rational.
18 is a whole number and integer making it rational.
9 is a integer and a whole number = rational.
169 is a integer and whole number = rational.
_____________________________________
Irrational numbers.
√78 ≈ 8.831760866
This decimal is a nonterminating decimal that does not terminate nor repeat making it irrational.
Now onto Pi/π which is the 16th letter of the Greek alphabet and is a known-irrational number. The ratio itself: 3.141592+. The letter is used as the symbol for the ratio of the circumference of a circle to its diameter.
So, why is PI irrational?It relates to how pi is computed. Pi is equal to the circumference of a circle, which may be calculated by placing an n-gon within a circle. However, when the sides of the n-gon are raised, the value of pi varies every time you divide it by the diameter of the circle, therefore it is impossible to get the exact value of pi. Additionally, irrational numbers never finish or repeat their decimal expansion, therefore they cannot be tallied as 2, 3, and so on.
_____________________________________
Therefore, the number that are irrational is π and √78.
What are the solutions to the following system of equations?
y = x² + 7x - 5
2x - y = -9
Answer:
x= -7, y= -5 and
x= 2, y= 13
This may also be written as (-7, -5) and (2, 13).
Step-by-step explanation:
Start by labelling the two given equations:
y= x² +7x -5 -----(1)
2x -y= -9 -----(2)
Let's solve by substitution!
Making y the subject of formula in equation (2):
From (2): y= 2x +9 -----(3)
Substitute (3) into (1):
2x +9= x² +7x -5
x² +7x -5 -2x -9= 0
x² +5x -14= 0
Factorise:
(x +7)(x -2)= 0
x +7= 0 or x -2= 0
x= -7 or x= 2
Find the respective values of y.
Substitute into (1):
y= (-7)² +7(-7) -5 or y= (2)² +7(2) -5
y= 49 -49 -5 or y= 4 +14 -5
y= -5 or y= 13
Thus, the solutions are (-7, -5) and (2, 13).
[20 Points]
Add the expressions 4- 2/3b+ 1/4a and 1/2a + 1/6b -7 . What is the simplified sum?
A: -1/6a + 5/12b - 3
B: 3/4a + 1/2b - 3
C: 3/4a + 5/6b - 3
D: 5/12a - 1/6b - 3
Answer:
B: 3/4a + 1/2b - 3
Step-by-step explanation:
what is the system of equations shown in the graph?
Which of the following is a like radical to 3/7x?
4 (3√√7x)
O
O √Tx
0 x(³√7)
0 7√√√x
Answer:
Like radicals are those terms that are similar, just like like terms. From this concept we find that option A is correct. 4[∛(7x)] and ∛(7x) are like radicals.
Step-by-step explanation:
Mathematically, like radicals are just like like terms. For example,
x, 2x, -10x, , 7.3x are like terms because the power of x in each case is 1.
xy², -9xy², 13y²x are like terms because the total power of each expression is 3.
Similarly, like radicals are:
√2, -5√2, 1.1√2, etc.
Hence, from the given options, like radical to ∛(7x) is: 4[(7x)].
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What is the answer to the question?
Answer:
See attached file for answers and explanation.
Step-by-step explanation:
See attached image.
Sam pays #512 .75k less than the amount rob pays for his meal .ridwan pays three times the amount rob pays for his meal. if the total amount paid by them is #47,645.25k. How much does same paid for his meal
The amount paid by sam will be 11526.75k for the meal.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that:-
Sam pays 512 .75k less than the amount rob pays for his meal .ridwan pays three times the amount rob pays for his meal. if the total amount paid by them is 47,645.25k.
We will form an expression from the data given above in the question.
Amount paid by Sam = ( r - 512.75 )
Amount paid by rob = r
( r - 512.75 ) + 3r = 47645.25
( r + 3r ) = 47645.25 + 512.75
4r = 48158
r = 12039.5
The amount paid by sam will be calculated as:-
S = r - 512.75
S = 12039.5 - 512.75
S = 11526.75
Therefore the amount paid by sam will be 11526.75k for the meal.
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asapppppp please i need help i need to pass
Answer:
Option 2 which is r^6
Step-by-step explanation:
You need to apply the exponent rules.
Since the r's are the same, you can subtract the exponents.
r^9 - r^3 = r^6
Notice that the bases ("r") stayed the same.
Answer: Choice [B] -r^6 ✅
Step-by-step explanation:
Hii!
Do you need to know the answer to your question? No problem!
We can use the Exponents' Property of division to work out the answer to this particular problem. (:
This property says that if you divide two numbers with the same base, you subtract their exponents.
Do we have the same base here? Yea', sure! The same variable can't stand for two different numbers in the same expression.
Let's work out the answer!
[tex]\LARGE\boldsymbol{r^9/r^3=r^{9-3}=r^6}[/tex]
Voila! There's our answer, cheers!
--
Hope that this helped! Best wishes.
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Which of the following best describes how the y values are changing over each interval?
X
1
23
3
4
5
y
2
4
8
16
32
O They are increasing by 2 each time.
O They are increasing by 4 each time.
They are being multiplied by 2 each time.
O They are being multiplied by 4 each time.
Answer:
They are being multiplied by 2 each time.
Step-by-step explanation:
The X values are going up by 1 and every time X goes up by 1, Y doubles. So (1,2) goes to (2,4) and then (3,8) etc.
If a || b and b I y then
Please help look at picture
Answer:
Abbly non of them your question is wrwon
identify the coefficient of -24x7y3
Answer: -24
Step-by-step explanation:
See attached image.
What is the area of ruth's mural?
Answer:
Step-by-step explanation:
Comment
The shape consists of a rectangle on the bottom and a trapezoid on the top.
Rectangle
A rectangle has a very simple Area formula. It is Area = L*W. In this case the L = 14 m and is horizontal. The width is at right angles to the length and is marked as 3.
Area = L * w
L = 14
w = 3
Area = 14 * 3 = 42 m^2
Trapezoid
The trapezoid is a bit more complicated and some things have to be found. First of all b1 is the first base of the trapezoid. It is parallel to and equal to the Length of the rectangle. b2 is marked 10 meters. The height is just a bit more complicated. The total height of the figure is 8 m. You can't count the 3 m of the rectangle as part of the height because b1 comes only to the top of the rectangle. The height is 8 - 3 = 5
Area = 1/2(b1 + b2)*h/2
b1 = 14
b2 = 10
h = 8 - 3 = 5
Area = 1/2 ( 14 + 10) * 5 / 2
Area = 1/2 (24)*5
Area = 12 * 5
Area = 60 m^2
Total Area 102 m^2
All the square numbers between 20 and 50
it is 3 numbers all together and they are 25, 36 and 49.
Find the HCF of
x^2 y and y^2
The highest common factor is [tex]\boxed{y}[/tex].