The slope of the line of best fit, where x represents the average daily temperature and y represents the total ice cream sales, is of:
1.4.
How to obtain the line of best fit?The line of best fit is obtained inserting the points of data, given either in a table or in a scatter plot, in a linear regression calculator.
The format of the line of best fit is the same as of a standard linear function, as follows:
y = mx + b.
In which the parameters are given as follows:
m represents the slope.b represents the y-intercept.For this problem, the points are given as follows:
(56.1, 107), (60.3, 116), (64.2, 120), (66.4, 122), (71.3, 125), (73.9, 130), (74.2, 132), (75.2, 135), (80.2, 141), (84.8, 151).
Inserting these points into a calculator, the equation is presented as follows:
y = 1.4x + 26.8.
Hence the slope of the function is of:
m = 1.4.
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please explain the answer
Answer: £4.26
Step-by-step explanation:
i think it is this:
the oranges cost £1.42 per kg and you have 1.5 kg of oranges so do £1.42 x 3=£4.26
Find the value of x that would make the quadrilateral below a parallelogram.
The value of x=5 if given quadrilateral is parallelogram.
What is parallelogram?
A parallelogram is a flat shape with four straight, connected sides so that opposite sides are congruent and parallel. This means a parallelogram is a plane figure, a closed shape, and a quadrilateral.
We know, the opposite sides of parallelogram are equal
therefore, 5x-8 = 2x+7
5x -2x = 7+8
3x = 15
x =5
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please help me asap
According to the solving the co-ordinate mid-point D is (-4,0).
What is Mid-Point?A point on a line which bisects the same line is a mid point. It divides the line in two equal halves.
The mid-point is equidistant from both the ends of the given line.
Middle point formula in coordinate geometry
M={(x1+x2)/2,(y1+y2)/2}
According to the Given information:We need to find the coordinates of mid-point D of line AB, where
A is (-6x,4y)
B is (-2x,-4y)
By using Mid-point formula for coordinate D, we get
x=-6+(-2)/2
⇒ x=-6-2/2
⇒x=-8/2
⇒x=-4
And y coordinate
y=4+(-4)/2
⇒y=4-4/2
⇒y=0/2
⇒y=0
The coordinates of mid-point D of line AB is (-4,0)
Hence, D is (-4,0)
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A line with a slope of 7 passes through the points (2,–8) and (4,z). What is the value of z?
Answer:
z : 6
Step-by-step explanation:
points: (2,-8) and (4, 6)
You put $12,984 into an investment at 6.12% for seven and a half years. What will the balance be at the end of seven and a half years?
Write the following expression as a simplified polynomial in standard form.
2(x+3)^2+3(x+3)+1
Answer:
11 times (9x)
Step-by-step explanation:
Let f(x) = 4x-8 and g(x)=x+3. Find f(g(x)) and g(f(x)).
f(g(x)) = (Simplify your answer.)
g(f(x)) =
(Simplify your answer.)
Answer:
[tex] \huge{ \bold{f(g(x)) = 4x + 4}} \\ \\ \huge{ \bold{g(f(x)) = 4x - 5}}[/tex]
Step-by-step explanation:
f(x) = 4x-8
g(x)=x+3
In order to find f(g(x)) you substitute g(x) into f(x) that's where ever you find x in f(x) you replace it with g(x) and solve
We have
[tex]f(g(x)) = 4(x + 3) - 8 \\ = 4x + 12 - 8 \\ = 4x + 4[/tex]
In order to find g(f(x)) you substitute f(x) into g(x) that's where ever you find x in g(x) you replace it with f(x) and solve
We have
[tex]g(f(x)) = (4x -8) + 3 \\ = 4x - 8 + 3 \\ = 4x - 5[/tex]
Hope this helps you
40 POINTS (don't answer incorrectly just to get points)
The formula for the perimeter of a rectangle in terms of the width w is w=(P-2l)/2.
Given that, the formula for the perimeter of a rectangle is P=2(l+w).
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Here, the perimeter is P=2(l+w)
⇒ P=2l+2w
⇒ P-2l=2w
⇒ w=(P-2l)/2
Hence, the formula for the perimeter of a rectangle in terms of the width w is w=(P-2l)/2.
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3 cartons of eggs cost $4.50. How much will 6 cartons of eggs cost?
Angle E and angle F are supplementary if m angle E =62 find m angle F
If Angle E and angle F are supplementary to each other, and (∠E = 62°), then the measure of ∠F will be 118°.
As per the question statement, Angle E and angle F are supplementary to each other, and (∠E = 62°),
Then we are required to calculate the measure of ∠F.
To answer this question, first we need to understand the concept of supplementary angles. "Two angles are said to be supplementary to each other, if their sum is equal to 180°".
That, if Angle E and angle F are supplementary to each other, then
[(∠E + ∠F) = 180°],
Or, [(62° + ∠F) = 180°]...[∵(∠E = 62°), given]
Or, [∠F = (180 - 62)°]
Or, (∠F = 118°)
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Help me pls.
100 points for those who work it out
Both areas are equal, 4 cm²
Answer:
Area of triangle = 4 cm²
Area of square = 4 cm²
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{4 cm}\underline{Area of a triangle}\\\\$A=\dfrac{1}{2}bh$\\\\where:\\ \phantom{ww}$\bullet$ $b$ is the base. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}[/tex]
From inspection of the given diagram:
b = 2 cmh = 4 cmSubstitute the values into the formula to find the area of the triangle:
[tex]\begin{aligned}\implies A&=\dfrac{1}{2} \times 2 \times 4\\A&=1 \times 4\\A&=4\;\sf cm^2\end{aligned}[/tex]
[tex]\boxed{\begin{minipage}{4 cm}\underline{Area of a square}\\\\$A=s^2$\\\\where:\\ \phantom{ww}$\bullet$ $s$ is the side length.\\\end{minipage}}[/tex]
From inspection of the given diagram:
s = 2 cmSubstitute the value into the formula to find the area of the square:
[tex]\begin{aligned}\implies A&=2^2\\A&=2 \times 2\\A&=4\;\sf cm^2\end{aligned}[/tex]
The area of the triangle is 4 cm², and the area of the square is 4 cm², thus proving that the triangle and the square have the same area.
the 10 students in the environmental club represents 20% of the students in the seventh grade. how many students are in the seventh grade
Answer: 50
Step-by-step explanation:
20 = 1/5
So if 10 is equal to one fifth the grade we can multiply 10 by 5 to find the other parts of the grade
Answer:
50 students
Step-by-step explanation:
10/x=20/100
Cross multiply
10(100)=20x
1,000=20x
/20. /20
50=x
Hopes this helps please mark brainliest
the distribution of sample means approaches a normal curve as \ \ \ \ \ \ \ \ increases to infinity?
The correct statement is 'the distribution of sample means approaches a normal curve as sample size(n) increases to infinity'
In this question, we have been given a statement 'the distribution of sample means approaches a normal curve as _________ increases to infinity'
We need to complete the statement.
The Central Limit Theorem tells us that for a population with any distribution, the distribution of the sample means approaches a normal distribution as the sample size increases.
This means, the distribution of sample means approaches a normal curve as the sample size i.e., n increases to infinity.
Therefore, the correct statement is 'the distribution of sample means approaches a normal curve as sample size(n) increases to infinity'
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A toy company makes wooden blocks. A carton holds 87 blocks.
How many blocks can 15 cartons hold?
The cartons can hold
blocks.
Using mathematical operations, we know that 15 cartons can hold 1,305 wooden blocks.
What exactly are mathematical operations?A mathematical "operation" is the process of calculating a value utilizing operands as well as a math operator. The provided operands or integers must adhere to a predetermined body of norms relating to the math operator's symbol. The order of operations is a rule that specifies the right steps to take when analyzing a mathematical equation. The PEMDAS operations you can recollect in this sequence are parentheses, exponents, multiplying, division (from Left to Right), addition, and subtraction (from left to right).So, a number of blocks 15 cartons can hold:
We know that,
1 carton can hold 87 blocks.Now, calculate as follows:
15 cartons = 87 × 1515 cartons = 1,305 blocksTherefore, using mathematical operations, we know that 15 cartons can hold 1,305 wooden blocks.
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3) Hugh has a goal of exercising 12/4 hours a day. He plans to go on several runs
today. His runs take him 4/6 of an hour. How many runs will Hugh need to go on?
The area of a parallelogram is 12 square units. one side of the parallelogram is 18 units long. the other side is 6 units long. determine whether each dimension could be the height of the parallelogram. pick all correct. a. 2/3 units b. 3/2 units c. 2 units d. 3 units
option (a) and (C).
The height of the parallelogram is 2 units and 2/3 units.
The sides of parallelogram are 6 units and 18 units .
Area of parallelogram (A) =12 square units.
Base of parallelogram (B) = 6 units.
formula used:
A = B*H
12 = 6*H
H = 12/6
H = 2 units.
if, base of parallelogram (B) = 18 units
A = B*H
12= 18*H
H = 12/18
H = 2/3 units.
the height of parallelogram are 2 and 2/3 units.
#123
For more information:
The parallelogram has a height of 2/3 units.
Given that,
A parallelogram has a surface area of 12 square units. The parallelogram has a side that is 18 units long. There are 6 units on the other side.
For a parallelogram to find the height;
Let,
Area of the parallelogram = Base * Height
12 = 18 * H
H = 12/18
H = 2/3
Therefore, the height of the parallelogram is 2/3 units.
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Write the equation of the line in slope-intercept form that passes through (3, 5) and is perpendicular to the line
3y + 4x = 12
Answer:
Step-by-step explanation:
find the gradient of given equation:
3y+4x=12
3y= -4x+12
y= -4/3x+4
gradient= -4/3
perpendicular gradient:
m1xm2=-1
-4/3m2=-1
-4m2=-3
m2= 3/4
find y-intercept by inputting coordinates in y=mx+c
5=3/4(3)+c
5=9/4+c
5-9/4=c
c= - 11/4
equation:
y=3/4x-11/4
f(x) = (x - 1)²
Helpppp!
Answer:
x = 1
Step-by-step explanation:
f(x) = (x - 1)²
f(x) = (x -1)(x - 1)
*Note: to find zeros set your equation equal to zero
x - 1 = 0
x = 1
*Since both quantities are the same x = 1 is your only zero.
What is the average of 1 to 9 numbers?.
The average of 1 to 9 Integers is 5 because average is computed by adding a set of numbers and then dividing by the total number of those numbers.
By average, do you mean overall?By dividing the total number of values by the total number of numbers, the average can be computed. A mean is the mathematical average of a set of two or more data items. Common names for average include mean and mathematical mean. The term "mean" simply represents the average of the sample.
What do you mean by average?The core value of a set of data is expressed mathematically as the average of a list of data. It is defined mathematically as the ratio of the total number of data points to the amount of units in the list. The term "mean" in statistics also refers to the average of a particular set of numerical data.
To calculate average = 1+2+3+4+5+6+7+8+9/9
=45/9= 5
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True or false: If the ratio of QR to RS on the number line is 2:1, coordinate of R must be 2.
Step-by-step explanation:
false.
QR and ES are line segments.
a ratio between them is about their lengths, not about their position.
so, no, the given ratio has nothing to do with the coordinate itself.
i need help on this thanks
Answer:
2x + 20 = 3x (alternate angles)
x = 20
At Berry Fun Farm, Liz picked 12 pints of berries. If 25% of the pints were blueberries, how many pints of blueberries did Liz pick?
Answer: 25% of 12 is 3
Step-by-step explanation:
Since there 25% is 1/4 of 100%, you'd need to divide.
There are 12 pints of berries.
If 1/2 of 25% is 6 since [tex]2 \sqrt{12}=6[/tex], you can say that the percentage would be 2/4.
Now, divide 12 by 4: [tex]4\sqrt{12}=3[/tex]
3 in this case would be the 1/4 and the 1/4 is substituting 25%
So there are 3 pints of blueberries.
what equations could i use with 1 2 3 4 5 to get 35
Answer:
(5x5) + (5x2)
Step-by-step explanation:
is that helpful i dont really get what youre asking
Answer:
1+2*3*5+4
Step-by-step explanation:
the square base of a pyramid has an area of 144 square feet. If the slant height of the pyramid is 10 feet, what is the height of the pyramid
Answer: The answer would be 8ft
Step-by-step explanation:
A vehicle was valued at $36,000 in the year 2011. The value depreciated to $12,000 by the year 2015. Assume that the car continues to drop at a constant rate. How long will it take for the car to be valued at $800?
The car will cost $ 800 after a depreciation time of approximately 6 years.
In what year does a car cost $ 800 due to depreciation?
Herein we are informed about the case of a car bought in 2011 at a cost of $ 36,000 and that depreciates linearly every year. Then, the depreciation function is described below:
c(t) = c' + m · t
Where:
c' - Initial cost of the car, in monetary unit.m - Depreciation rate, in monetary unit per year.t - Time, in years.If we know that c(0) = 36,000, c(4) = 12,000 and c(t) = 800, then the depreciation rate is:
m = (12,000 - 36,000) / (4 - 0)
m = - 24,000 / 4
m = - 6,000
800 = 36,000 - 6,000 · t
6,000 · t = 35,200
t = 35,200 / 6,000
t = 5.867
The expected depreciation time is approximately 6 years.
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find the measure of the indicated angle, GIVE STEPS PLEASE!!
The measures of the indicated angles are 35 °, 238.73° & 18.40 ° respectively.
What are the trigonometric identities?
All trigonometric identities are based on the six trigonometric ratios. Sine, cosine, tangent, cosecant, secant, and cotangent are the values. All of these trigonometric ratios are defined using the sides of a right triangle, such as an adjacent side, opposite side, and hypotenuse side.
Let's consider,
x = opposite side of an angle of the triangle.
y = adjustant side of an angle of the triangle.
z = hypotenuse of the triangle.
θ = angle of the triangle.
i) In the first diagram
We have,
y = 49
z = 60
[tex]cos\theta = \frac{y}{z}[/tex]
θ = cos⁻¹(0.816)
θ = 35 °
ii) In the second diagram
We have,
y = 41
x = 10
θ = ?
[tex]tan\theta = \frac{x}{y}[/tex]
θ = tan⁻¹(0.2439)
θ = 238.73°
i) In the third diagram
y = 53
x = 17
θ = ?
[tex]tan\theta = \frac{x}{y}[/tex]
θ = tan⁻¹(3.11)
θ = 18.40 °
Hence, the measures of the indicated angles are 35 °, 238.73° & 18.40 ° respectively.
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The polygon is enclosed by a circle, center o so that each vertex touches the circumference of the circle
show that the radius ao of the circle is 11.6 cm correct to the nearest 1 decimal place
Answer:
total is discarding 7 tables for you the Fall Festival by placing the same number of paper skeletons and bats on each table all together he used 84 scouters and 84 bats how many paper shapes went on each table
PLEASE HELL!!
For the given item below, show your solution and tell whether lines m and n are parallel. If
not, state your reasoning
m/2 = (5x + 3), m/3 = (8x - 5)°, x = 14
As their measure of angles are not the same with respect to the positive x-axis they are not parallel.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
We know two lines are parallel if their slope is equal.
Given are two lines m and n.
For line m, slope(m) is m/2 = (5x + 3)° where x = 14.
Slope(m) is, m/2 = (5·14 + 3)°.
m/2 = 73°.
m = 146°.
For line n, slope(m) is, m/3 = (8x - 5)° where x = 14.
m/3 = 107°.
m = 321°.
As their measure of an angle is not the same with respect to the positive x-axis these two lines are not parallel.
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Order the number from least to greatest.
0.8 8% 18% 1/8 8/20
Answer:
18%,1/8,18%, 8/20 0.8
Step-by-step explanation:
0.8 8/100 18/100 1/8 8/20
0.8 , 0.08 0.18 0.12 0.4
0.08 0.12 0.18 0.4 0.8
Answer:
8%, 1/8, 18%, 8/20
Step-by-step explanation:
Lets make all of these into decimals (its easier that way).
8% = 0.08
18% = 0.18
1/8 = 0.125
8/20 = 0.4
Now, put them into least to greatest! :)
In △abc, ​gf=17 in.​ what is the length of cf¯¯¯¯¯? enter your answer in the box. in.
The length of CF is 51 inches.
Complete question:
( In triangle ABC in which AD,BE and CF are the medians ),
In △ABC, GF=17 in. What is the length of CF¯¯¯¯¯? Enter your answer in the box.
What is the median in a triangle?
A line segment that joins a vertex to the mid-point of the side that is opposite to that vertex
The centroid G divides each median into the ratio 2:1, so GF is 1/3 of CF. That is, ...
CF = 3(GF) = 3(17 in)
CF = 51 in
So, the length of CF is 51 inches.
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