The regression equation of sales of coffee is ŷ = -22.7x + 130.3, and the regression equation of sales of tea is ŷ = -22.7x + 119.0
How to determine the regression equations of the drinks?The dataset of coffee is given as:
Price: 1.50 2.20 2.70 2.50 2.90 2.00 1.60 2.10 3.00 1.80
Sales: 96 79 70 73 64 85 94 83 63 91
Using a graphing calculator, we have the following calculation summary:
Sum of X = 22.3Sum of Y = 798Mean X = 2.23Mean Y = 79.8Sum of squares (SSX) = 2.521Sum of products (SP) = -57.14b = SP/SSX = -57.14/2.52 = -22.7a = MY - bMX = 79.8 - (-22.67*2.23) = 130.3The regression equation is represented as:
ŷ = bx + a
So, we have:
ŷ = -22.7x + 130.3
The dataset of tea is given as:
Price: 2.40 1.50 1.10 1.60 2.50 1.30 1.00 1.70 2.20 2.00
Sales: 64 85 94 83 63 91 96 79 70 73
Using a graphing calculator, we have the following calculation summary:
Sum of X = 17.3Sum of Y = 798Mean X = 1.73Mean Y = 79.8Sum of squares (SSX) = 2.521Sum of products (SP) = -57.14b = SP/SSX = -57.14/2.52 = -22.7a = MY - bMX = 79.8 - (-22.67*1.73) = 119.0The regression equation is represented as:
ŷ = bx + a
So, we have:
ŷ = -22.7x + 119.0
Hence, the regression equation of sales of coffee is ŷ = -22.7x + 130.3, and the regression equation of sales of tea is ŷ = -22.7x + 119.0
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What does taken/take for granted mean?
take for granted 1. Consider as true or real, anticipate correctly, as in I took it for granted that they'd offer to pay for their share but I was wrong. [c. 1600] 2. Underestimate the value of, become used to, as in The editors felt that the publisher was taking them for granted.
Helpppp meeeeeeeeeeeeeeee
Answer:
its the same thing as 3 x3 or 3+3 it always come´s back as 9 or 6 Becasue of its rotation
Step-by-step explanation:
2) Tara is trying to find the nth term of the arithmetic sequence 5,8,11, and 14…. Which expression can Tara use to find the nth term? What is the 15th term of the sequence?
Answer:
Below in bold.
Step-by-step explanation:
Nth term an = a1 + d(n - 1) where a1 = term 1 and d = common difference.
Here a1 = 5 and d = 8-5 = 3.
So an = 5 + 3(n - 1)
15th term a15
= 5 + 3(15 - 1)
= 5 + 42
= 47.
Nicolas was testing H_0: \mu=24H 0 :μ=24H, start subscript, 0, end subscript, colon, mu, equals, 24 versus H_\text{a}: \mu\neq24H a :μ =24H, start subscript, start text, a, end text, end subscript, colon, mu, does not equal, 24 with a sample of 121212 observations. His test statistic was t=-1.79t=−1.79t, equals, minus, 1, point, 79. Assume that the conditions for inference were met. What is the approximate P-value for Nicolas' test?
Considering the hypotheses tested, it is found that the p-value for Nicolas's test is of 0.101.
What are the hypotheses tested?At the null hypotheses, it is tested if the mean is of 24, that is:
[tex]H_0: \mu = 24[/tex]
At the alternative hypotheses, it is tested if it is different, hence:
[tex]H_1: \mu \neq 24[/tex]
As we are testing if the mean is different of a value, we have a two-tailed test, with t = -1.79 and 12 - 1 = 11 df. Hence, using a t-distribution calculator, the p-value is of 0.101.
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In the graph above, the coordinates of the vertices of QPR are Q(3, 0), P(5, 6), and R(7, 0). If AQPR is reflected across
the x-axis to create Q'P'R', find the coordinates of R.
A. (-7,0)
B. (3,0)
C. (5,-6)
D. (7,0)
Answer:
D. (7, 0)
Step-by-step explanation:
The rule for a reflection over the y-axis is (x, y) → (x, -y)
This means that the x-values stay the same while the y-values change.
Q(x, y) → (x, -y)
Q(3, 0) → (3, 0)
Q'(3, 0)
P(x, y) → (x, -y)
P(5, 6) → (5, -6)
P'(5, -6)
R(x, y) → (x, -y)
R(7, 0) → (7, 0)
R'(7, 0)
Therefore, the correct answer is D.
Hope this helps!
Neela is making rectangular place mats that are 12 inches wide and 15 inches long. What is the least amount of ribbon that she will need to create a ribbon border around 1 place mat?
180 inches
54 inches
180 square inches
54 square inches
Roy wants to make a path from one corner of his yard to the other as shown below. the path will be 4 feet wide. he wants to find the area of lawn that remains. a rectangle has a height of 40 feet and a base of 15 feet. a 4 feet wide path forms a parallelogram inside of the rectangle. roy claims that the area of the lawn is 300 square feet since it covers exactly one-half of the yard. which statement about his claim is correct? he is incorrect. the path will have an area of (4) (40) = 160 sq ft. the yard has an area of 600 sq ft. the area of the lawn will be the difference of the yard and path, so it is 440 sq ft. he is incorrect. the path will have an area of one-half (4) (40) = 80 sq ft. the yard has an area of 300 sq ft. the area of the lawn will be the difference of the yard and path, so it is 220 sq ft. he is incorrect. the path will have an area of (4) (40) = 160 sq ft. the yard has an area of 300 sq ft. the area of the lawn will be the difference of the yard and path, so it is 140 sq ft. he is incorrect. the path will have an area of (9) (40) = 360 sq ft. the yard has an area of 600 sq ft. the area of the lawn will be the difference of the yard and path, so it is 240 sq ft.
The incorrect claim is A. He is incorrect. The path will have an area of (4)(40)=160 sq ft. The yard has an area of 600 sq ft. The area of the lawn will be the difference of the yard and path, so it is 440 sq ft.
What is an Area?This refers to the quantity used in mathematics to show the extent of a two-dimensional region, shape, or planar lamina, in the plane.
Hence, because Roy wants to make a path from one corner of his yard to the other, he makes an incorrect claim about the area of the yard and the lawn, and option A is the correct answer.
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Joel made a scale drawing of a boarding school. A building at the school is 16 millimeters wide in the drawing. The actual building is 20 meters wide. What is the scale of the drawing?
Answer:
Step-by-step explanation:
.8 millimeters :1 meters
Answer: 5 METERS ACCORDING TO IXL
Step-by-step explanation:
The volume of a cylinder varies jointly with the square of the radius and the height. If the volume of a cylinder is 50.265 cubic
inches when the radius is 2 inches and the height is 4 inches, what is the volume when the radius is 3 inches and the height is 7
inches?
O 89.24 in³
O 65.97 in³
131.95 in³
197.92 in³
Answer:
197.92 in³
Step-by-step explanation:
[tex]\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}[/tex]
Given:
r = 3 inh = 7 inSubstituting the given values into the formula:
[tex]\begin{aligned} \implies \textsf{Volume of a cylinder} & =\sf \pi (3)^2(7)\\ & = \sf 63 \pi\\ & = \sf 197.92\:in^3\:(nearest\:hundredth)\end{aligned}[/tex]
Determine the coordinate of the point where
y=x−6 crosses the x-axis.
Answer:
(6, 0 )
Step-by-step explanation:
to find where the line crosses the x- axis, let y = 0 in the equation and solve for x
0 = x - 6 ( add 6 to both sides )
6 = x
the line crosses the x- axis at (6, 0 )
Instead of y write 0:
0=x-6
Now solve for x :0=x-6
Add 6 on both sides6=x or x=6
We know the x coordinate of the point that intersects the x axis; the y coordinate is always 0.
Coordinates of the point ↓(6, 0)
a/b + 8/b = ?/b what’s the numerator for the following rational expression
Answer:
Numerator: A + 8
Complete Form: [tex]\frac{A+8}{b}[/tex]
Step-by-step explanation:
Hello!
If we have two fractions that are being added or subtracted with the same denominator, we can simply add up the numerators and keep it over the same denominator.
Let's use this question as an example:
[tex]\frac Ab + \frac 8b = \frac ?b[/tex][tex]\frac {A + 8}{b}[/tex]The problem is basically saying, "If I took A slices from b slices and 8 slices from b slices, how many slices would I have?"
The answer would be A + 8 slices.
kono divides the numerator and denominator of 48 over 72 by the greatest common factor to simplify the fraction in one step. by what number does he divide?
Answer:
24
Step-by-step explanation:
[tex]\sf Given\:fraction:\dfrac{48}{72}[/tex]
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
So the greatest common factor (GCF) of 48 and 72 is 24.
Therefore, to simplify the fraction, divide the numerator and denominator by 24:
[tex]\sf \implies \dfrac{48}{72}=\dfrac{48 \div 24}{72 \div 24}=\dfrac{2}{3}[/tex]
Answer:
24
Step-by-step explanation:
The Greatest Common Factor (GCF) is the biggest common number by which 2 numbers can be formed when multipliedFactors of 48 and 72
48 : 1, 2, 3, 4, 6, 8, 12, 16, [24], 4872 : 1, 2, 3, 4, 6, 8, 9, 12, 18, [24], 36, 72⇒ 24 is the GCFSolving
[tex]\frac{48}{72} = \frac{2*24}{3*24} = \frac{2}{3}[/tex]Coach Rodriguez is planning an end-of-season celebration for the swim team
To decide what food to serve, she surveys a random sample of students on
the team
Food for End-of-Season Celebration
Which inference is supported by the data collected in the survey?
A. The number of team members who prefer pizza is less than the
combined number of team members who prefer hamburgers or
chicken fingers
B. The number of team members who prefer hamburgers is half the
number of team members who prefer tacos.
C. The smallest number of team members prefer hamburgers.
D. The number of team members who prefer tacos is the same as
the combined number of team members who prefer hamburgers
or pizza
Please help my last question first to answer and the answer is correct will get brainlist and a like and a 5 star please hurry and help
Option D is correct. The number of team members who prefer tacos is the same as the combined number of team members who prefer hamburgers or pizza.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
Coach Rodriguez is planning an end-of-season celebration for the swim team.
To decide what food to serve, she surveys a random sample of students on the team Food for End-of-Season Celebration.
We can see that,
The number of team members who prefer tacos = 12
The combined a number of team members who prefer hamburgers or pizza = 7 + 5
= 12.
So, The number of team members who prefer tacos is the same as the combined number of team members who prefer hamburgers or pizza.
The inference supported by the data collected in the survey would be option D.
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Answer:
The number of team members who prefer hamburgers is the same as the combined number of team members who prefer pizza or chicken fingers.
Step-by-step explanation:
Test approved
Suppose Jonathan eats 6 packages of pemmican. He also eats some biscuits. Create an equation that models the total number of calories Jonathan consumes, y, based on the number of biscuits he eats, x, and the 6 packages of pemmican.
Using proportions, it is found that the equation that models the total number of calories Jonathan consumes is given by:
y = 810 + 75x.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem:
Each biscuit has 75 calories, hence x biscuits will have 75x calories.Each package of pemmican has 135 calories, hence 6 packages will have 6 x 135 = 810 calories.Thus, the equation is given by:
y = 810 + 75x.
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help meee pleasee!! And get it rightt!!
Answer:
1/6
Step-by-step explanation:
First one red 4 out of 9 = 4/9
now there are 8 marbles left and 3 are red
prob of red is now 3 out of 8 = 3/8
4/9 * 3/8 = 12/72 = 1/6
i do not know this answer
Answer:
The answer is -19
Step-by-step explanation:
Given information -19y^2 , y=-1
-19 * y^2
-19 * (-1)^2
-19 * 1 = -19
A boy leaves home at 7:30 a.m and cycles to school, 6 km away, arriving at 7:45 a.m. The average speed of the boy as he cycles, in kmh, is (A) 32 (B) 24 (C) 18 (D) 16
Answer:
B) 24
Step-by-step explanation:
distance = 6 km
we want the speed in km/h, so let's turn everything into either km or h if possible
time = 7:45 am - 7: 30 am = 15 minutes
60 minutes = 1 hour
1 hour / 60 minutes = 1
15 minutes * 1 = 15 minutes * 1 hour/60 minutes = 15 / 60 hours = 1/4 hours = 0.25 hours
note that we multiply by 1 hour / 60 minutes, not 60 minutes/ 1 hour. this is because we want the minutes to cross out -- because the original is given in minutes ( 15 minutes = 15 minutes/1) and is in the numerator, we need minutes in the denominator of 1 hour/60 minutes to cross it out
km = 6
h = 0.25
km/h = 6/0.25 = 24
The density of copper is 9.86 g/cm³.
Work out the mass of the solid copper cuboid in kg.
10 cm
3 cm
5 cm
Answer:
1479 gm
Step-by-step explanation:
V = 10 * 3 * 5 = 150 cm^3
150 cm^3 * 9.86 g / cm^3 = 1479 gm
I WILL MARK BRAINLIEST
Help meeeee!eeeeeeee
Find sin D, sin E, cos D, and cos E. Write each answer as a fraction in simplest form
The value of sin D, sin E , cos D , and cos E in simplest fraction form are as follows:
Sin D = 4 / 5
sin E = 3 / 5
cos D = 3 / 5
cos E = 4 / 5
Trigonometric ratios:The simplest trigonometric ratios expression are as follows:
sin ∅ = opposite / hypotenusecos ∅ = adjacent / hypotenusetan ∅ = opposite / adjacentTherefore,
Sin D = opposite / hypotenuse = 12 / 15 = 4 / 5
sin E = opposite / hypotenuse = 9 / 15 = 3 / 5
cos D = adjacent / hypotenuse = 9 / 15 = 3 / 5
cos E = adjacent / hypotenuse = 12 / 15 = 4 / 5
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Answer:
The Numbers are rounded btw
Sin D = 28.1 As a fraction 281/10
Cos D = 31.9 As a fraction 319/10
Cos E = 31.9 As a fraction 319/10
Step-by-step explanation:
Sin= opposite/ hypotnuse
Con= addjacent/ hypotnuse
if you cant tell which side the hypotnues if on, it is always opposite from the 90 degree mark.
Now that you know how to make the fraction for Sin and Con, you would have to use a graphing calulator, plug in Sin^-1 or Con^-1 what ever the sign is and put the fractions in ( ) next to it and it will give you the decmle. Also using a graphing calculator is 100% allowed in this type of math.
Dara and Jo share £420 in the ratio 25.
Calculate how much Dara and Jo receive each.
Answer: 120 And 300
Step-by-step explanation: Ratio 2:5 = 7
1/7 of 420 = 60
Ratio 1 = 60
Ratio 2 = 60 ×2
Ratio 5= 60 ×5
In how many ways can 8 people be seated in a row of chairs if three of the people, John, Wilma, and Paul, refuse to sit in three consecutive seats?
Answer:
I think it's easiest to count the ways that they can consecutively sit together and subtract this from the total number of seating arrangements.
There are 6 groups of 3 consecutive seats. Within each group there are 3!=6 ways the three people can be arranged
Then the remaining 5 people can be arranged 5!=120 ways in the remaining seats.
So there are 6*6*120 = 4320 arrangements where they DO sit consecutively
There are 8! = 40320 total arrangements.
So there are 40320 - 4320 = 36000 arrangements where the 3 do not sit consecutively.
Step-by-step explanation:
The nth term of a sequence is 5n - 3.
Write down the first three terms of the sequence.
Answer:
2, 7, 12.
Step-by-step explanation:
Substitute n = 1, n = 2 and n = 3:
First term = 5(1) - 3 = 5-3 = 2
Second = 5(2) - 3 = 7
Third = 5(3) - 3 = 12.
A lemonade recipe calls for 1/4
cup of lemon juice for every 1 cup of water.
Drag the movable points to plot the pairs in the table.
Answer:
...
Step-by-step explanation:
0.25 cup of lemon juice every 1 cup of water.
If you multiply it 4 times it would be 1 cup of lemon juice for every 4 cups of water.
factor the polynomial
28c - 12
Answer:
28c-12 and it would be 4(7e-3 and i did not copy from googe i did this on my own
Step-by-step explanation:
Answer:
4(7c - 3)[tex] \: [/tex]
Step-by-step explanation:
So, here we are to factor the polynomial :
[tex] \\ \longrightarrow \sf \qquad28c - 12\\ \\[/tex]
[tex]\longrightarrow \sf \qquad4(7c - 3)\\ \\[/tex]
Some points to know :
Factorisation is the reverse process of multiplucation.The Factorisation is the process of finding two or more expressions such that their product is the given expressionfind the equation of the line passing through the points (1,5) and (3,9)
Answer:
[tex]\boxed{\sf{2}}[/tex]Step-by-step explanation:
Use the slope formula.
[tex]\underline{\text{SLOPE:}}[/tex]
[tex]\Longrightarrow: \sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{Rise}{Run} }[/tex]
[tex]\sf{y_2=9}\\\\\\\sf{y_1=5}\\\\\\\sf{x_2=3}\\\\\\\sf{x_1=1}[/tex]
[tex]\sf{\dfrac{9-5}{3-1} }[/tex]
Solve.
[tex]\sf{\dfrac{9-5}{3-1}=\dfrac{4}{2}=\boxed{\sf{2}}[/tex]
Therefore, the slope is 2, which is our answer.I hope this helps. Let me know if you have any questions.
What is a unit fraction?
two parts of a whole
a whole
one part of a whole
the bottom number in a fraction
Answer:
denominator
Step-by-step explanation:
the upper part is numerator
so the lower is denominator
Answer:
one part of a whole
Step-by-step explanation:
A unit fraction shows one part of a whole number
(*) Sorry for my late answer but I hope this helps others that are looking for this.
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Jade can travel 42 miles in 4 hours. Please calculate Jade's rate of speed. (round to 2 decimal places)
Answer:
10.50 Miles per hour
Step-by-step explanation:
42/4 = 10.50 easy
What is the measure of ∠1
A: 56°
B: 73°
C: 107°
ANSWER FAST HURRY! WILL MARK BRAINLEIST WORTH 100 POINTS
Answer: 73
Step-by-step explanation:
Angle B is 180-107=73
Angle 1 is equivalent to B and it is 73
Answer:
C. ∠1 = 73°
Step-by-step explanation:
Angles on a straight line add up to 180°
Therefore:
⇒ ∠1 + 107° = 180°
Subtract 107° from both sides:
⇒ ∠1 + 107° - 107° = 180° - 107°
⇒ ∠1 = 73°