Maria gathered the data in the table. She finds the line of best fit to be y = 2.78x – 4.4. What is the residual value when x = 4?
Solution:
The line of best fit is given as y=2.78x-4.4
We need to find the residual value when x=4.
The residual value is an estimate of the wholesale value .To find the residual value we plug in x=4 in the given line of best fit.The corresponding y value will give the predicted value.
y=2.78x-4.4
Substituting x=4,
y=2.78(4)-4.4
y=11.12-4
y=7.12.
The predicted value when x=4 is y=7.12.
Residual value = predicted value - Actual value -=7.12 - actual value.
mr scott rented a bicycle for 6 hours on saturday and then several more hours on sunday. it cost $4 per hour to rent the bicycle, and he paid a total of $48 For many hours did mr scott rented the bicycle on sunday
Final answer:
After calculating the cost for 6 hours of bicycle rental on Saturday, we subtracted that from the total cost to determine the cost for Sunday. By dividing this amount by the hourly rate, we concluded that Mr. Scott rented the bicycle for an additional 6 hours on Sunday.
Explanation:
The question asks how many hours Mr. Scott rented a bicycle on Sunday. To solve this, we need to calculate the total rental hours using the cost information provided. We know that Mr. Scott rented the bicycle for 6 hours on Saturday, and the rental cost is $4 per hour. He paid a total of $48 for the entire rental period over the two days.
First, let's calculate the cost for Saturday's rental: 6 hours × $4 per hour = $24. Now we know that Mr. Scott spent $24 on Saturday, so the remaining $24 ($48 total - $24 for Saturday) must have been spent on Sunday's rental. Dividing the remaining cost by the hourly rate gives us the number of hours rented on Sunday: $24 ÷ $4 per hour = 6 hours. Therefore, Mr. Scott rented the bicycle for 6 hours on Sunday as well.
Write the equation of a line with a slope of 4 and a y-intercept of −3.
A: 4x+y=-3
B: 4x-y=-3
C: y=3x+4
D: y=4x-3
Answer:
y = 4x − 3
Step-by-step explanation:
Suppose that the distance D feet that a car travels in t seconds is given by d(t)=2t^2. Calculate the average speed (average rate of change.) in feet per second from t=5 to t=9. (An exact number.)
A rate of change is a rate that describes how one quantity changes in relation to another quantity, then d(t)=2t^2 is given, 28 feet is average speed in feet per second from t=5 to t=9.
What is Rate of change?A rate of change is a rate that describes how one quantity changes in relation to another quantity.
d(t)=2t^2 is given, we need to find average speed in feet per second from t=5 to t=9.
d(t)=2t^2.
The average rate of change is calculated by the formula: d(t2) - d(t1) / t2 - t1
So plug in 5 as t1 and 9 as t2.
d(9) - d(5) / 9 - 5 =
(2×81) - (2×25) / 9 - 5 =
162 - 50 / 4 =
112 / 4 = 28
Therefore the average speed is 28 feet.
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am i correct ? geometry problem
Please help me. Thank you.
Look at the following expression.
5(3x + 2)
Which of the answer choices below is NOT an equivalent expression?
A.15x + 10
B.10x + 15
C.5 ∙ 3x + 5 ∙ 2
D.5(2 + 3x)
What is the value of y in the equation 2 + y = −3?
−1
−5
1
5
(I think its b)
Answer:
the answer is negative 5
You solved a linear system with two equations and two variables and got the equation o=-8. how many solutions does the system of equations have
Jack has twelve coins in his pocket made up of dimes and quarters. he has a total value of $1.95. how many of each are there
The circumfrence is 16 pi. What is the are in terms of pi?
Mayumi is constructing a line through point P that is perpendicular to RS←→. She places her compass on point P to construct an arc. What must be true about the width of the compass opening when Mayumi draws the arc?
A. It must be equal to PS .
B. It must be greater than 12RS.
C. It must be wide enough so that the arc intersects RS←→ in two points.
D. It must be equal to PR .
Answer:
Width of the compass should be more than the smallest space between P and RS, so that it cuts RS at two distinct points. Therefore, it must be wide enough so that the arc intersects RS←→ in two points. The photo is attached so that you can understand it more.
In a test-cross of a heterozygous black guinea pig (bb), what is the probability that the first two (2) offspring will be white?
Converting fractions to decimals worksheet 7th grade
The lengths of the sides of a triangle are in the extended ratio 5 : 7 : 10. The perimeter of the triangle is 88cm. What are the lengths of the sides?
A pack of cinnamon scented pancils sells for $7.00.What is the sales tax rate if the total cost of the pencils is $7.49?
The amount of sales tax rate on the scented pencils will be equal to 7%.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Price of scented pencils = $7
Price of pencils after-tax = $7.49
Then, the percentage of tax on the pencils will be,
= (7.49 - 7)/7 × 100
= 0.07 × 100
= 7%
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ABCD is a kite, find the length of BD
Answers:
A. 8
B. 16
C. 12
D. 24
When students at Luray Middle School were surveyed, 22% said they would like hamburgers at lunch rather than hotdogs. What is that percent rounded to the nearest compatible fraction?
Answer: [tex]\dfrac{11}{50}[/tex]
Step-by-step explanation:
Given : When students at Luray Middle School were surveyed, 22% said they would like hamburgers at lunch rather than hotdogs.
We know that to convert a percent into a fraction , we need to divide the percent by 100 , we get
[tex]22\%=\dfrac{22}{100}[/tex]
Which can be written as :[tex]\dfrac{2\times11}{2\times50}[/tex]
Cancel out 2 from the numerator and the denominator , we get
[tex]\dfrac{11}{50}[/tex]
Hence, 22% rounded to the nearest compatible fraction [tex]\dfrac{11}{50}[/tex]
The sides of a triangle are of lengths 13, 14, 1nd 15. the altitude of the triangle meet at point h. if ad is the altitude to the side length 14, what is the ratio hd:ha
The ratio of HD:HA in a triangle with sides 13, 14, and 15, where AD is the altitude, is 13:14.
The question involves finding the ratio of lengths HD:HA in a triangle with sides of lengths 13, 14, and 15, where AD is the altitude to the side of length 14.
According to the given theorem, if we consider AD as the altitude ha from vertex A and HD as ht, we are informed that a:ht=b:ha, where a and b are sides of the triangle.
Since triangle ABC has sides a=13, b=14, and c=15, we apply the theorem such that 13:HD=14:HA.
This gives us the ratio HD:HA as 13:14. Therefore, for every 13 units of height from H to D, there are 14 units of height from H to A.
2 to determine the formula of a new substance one of the first steps is to find the
Geometry help please?
4 questions.
Thanks!
Kim is drawing a map of the different schools in her school district.she knows that her middle school is 10.6 miles away from the middle school that her best friend attends.if every 2 inches on the map represents 5 miles, how far apart will the two schools be on the map,to the nearest tenth of an inch
Answer:
4.24 inches.
Step-by-step explanation:
In the map,
2 inches represents 5 miles,
Thus, we can write,
[tex]5\text{ miles}=2\text{ inches}[/tex]
[tex]1\text{ mile}=\frac{2}{5}\text{ inches}-----(1)[/tex]
Since, the actual distance between the two schools is 10.6 miles.
Multiplying both sides by 10.6 in equation (1),
[tex]10.6\text{ miles}=10.6\times \frac{2}{5}=\frac{21.2}{5}=4.24\text{ inches}[/tex]
Hence, the distance between the two schools in the map is 4.24 inches.
Identify the 35th term of an arithmetic sequence when a1 = −7 and a 18 = 95
How do you solve x^2 - 16x -34 = 2 by completing the square?
Sarah said that 0.00001 is bigger than 0.001 because the first number has more digits to the right of the decimal point. Is Sarah correct? Explain your thinking using negative powers of 10 and the number line
The number 0.001 is greater than the number 0.00001. She is incorrect.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Sarah said that 0.00001 is bigger than 0.001 because the first number has more digits to the right of the decimal point. She is incorrect.
0.001 > 0.00001
Because the number 0.001 is greater than the number 0.00001.
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A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form.
Answer: 1/2 or one-half
Step-by-step explanation:
If a cone has the same radius and height as a cylinder, the volume of the cone is
one-fourth one-third half two-thirds
the volume of the cylinder. If a cylinder and a sphere have the same radius and the cylinder’s height is twice its radius, then the volume of the sphere is
one-fourth one-third half two-thirds
the volume of the cylinder.
The volume of the cone is one-third the volume of the cylinder, if both shapes have the same radius and height
The volume of a cone is represented as:
v = 1/3[tex]\pi[/tex]r^2h
The volume of a cylinder is represented as:
V = [tex]\pi[/tex]r^2h
Substitute [tex]\pi[/tex]r^2h for V in the volume of the cone
v = 1/3V
The above means that:
The volume of the cone is one-third the volume of the cylinder
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In which states of matter can materials take the shape of their containers?
A. liquid and gas
B. solid and liquid
C. solid and gas
In triangle ΔABC, ∠C is a right angle and CD is the height to AB, Find the angles in ΔCBD and ΔCAD if: m∠A = α
m∠DBC =
m∠DCB =
m∠CDB =
m∠ACD =
m∠ADC =
It is a week before the maths festival. A maths exhibitor costs £75.40 and so far 12 have been bought.