The best line fit go through to represent the data is (3,8) and (5,12)
The correct option is Option c)
What is best fit line?
A straight line that minimises the gap between it and some data is called a line of best fit. In a scatter plot containing various data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.
We are given some points we will plot the graph on the points
From that if we plot the line through the point (3,8) and (5,12)
That will leave 2 points above the line and 2 point below the line
Hence it is the best fit line
The correct option is option C)
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Gail made 7/8 quart of lemonade. Her sister drank 1/4 quart of the lemonade. How much lemonade is left?
Group of answer choices
2/8 quart
3/8 quart
4/8 quart
5/8 quart
Answer:
5/8 quarts
Step-by-step explanation:
Raíz cuadrada de 157
Answer:12.5
Step-by-step explanation:
Tell whether the value is a solution of the inequality r+4>8; r=2
Answer:
No, it is not a solution to the inequality.
Step-by-step explanation:
If r = 2, the equation would be 2 + 4 > 8.
2 + 4 = 6.
6 is NOT greater than 8.
Caitlin had $385 in her bank account. She withdrew $14 each week to pay for a swimming lesson. She now has $245. How many swimming lessons did she pay for
The answer is 10 weeks of lessons she paid for using arithmetic operation.
What is the arithmetic operation?
The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.
Caitlin had $385 in her bank account. She withdrew $14 each week to pay for a swimming lesson.
She now has $245.
Total money spent 385-245 = 140
For 140 will pay 140/14 = 10 weeks
Hence total 10 weeks lessons she paid for.
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What is the midline equation of the function h(x)=-4\sin\left(x-\dfrac{\pi}{4}\right)h(x)=−4sin(x−
4
π
)h, left parenthesis, x, right parenthesis, equals, minus, 4, sine, left parenthesis, x, minus, start fraction, pi, divided by, 4, end fraction, right parenthesis?
x-axis or y = 0 is the midline equation of the function
h(x) = -4sin(x - π/4).
Given, a trigonometric function
h(x) = -4sin(x - π/4)
Now, we are asked the midline equation of the given function,
midline equation is the equation of a line that divides the given function into exactly two halves.
As, we have
h(x) = -4sin(x - π/4)
h(x) is obtained by transforming the function sinx.
Now, the midline equation of the function h(x) is,
y = 0 i.e. the x-axis.
Hence, x-axis or y = 0 is the midline equation of the function
h(x) = -4sin(x - π/4).
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5
Riley is saving up to buy a new television. She needs a total of $1,028.25. Riley has saved $200.39 already and earns $75.26 per
week at her job. How many weeks does Riley need to work to save enough money to buy the new television?
OA. 10
OB. 12
OC. 9
OD.
11
Answer:
D. 11 weeksStep-by-step explanation:
Let the number of weeks Riley need to work is x.
She has $200.39 and will save $75.26 for x weeks to get $1028.25 total.
Set this as equation:
75.26x + 200.39 = 1028.25Solve it for x:
75.26x = 1028.25 - 220.3975.26x = 807.86x = 807.86/75.26x = 10.73 ≈ 11 (rounded to whole number)Correct choice is D
Answer:
d) 11
Step-by-step explanation:
Forming the equation,
→ 75.26w + 220.39 = 1028.25
Now the value of w will be,
→ 75.26w + 220.39 = 1028.25
→ 75.26w = 1028.25 - 220.39
→ 75.26w = 807.86
→ w = 807.86/75.26
→ w = 10.73425
→ [ w = 11 weeks ]
Hence, the answer is 11 weeks.
If cos x = 2/5 then what is the positive value of sin 1/2x in simplest radical form with
a rational denominator?
The positive value of sin x/2 is [tex]\frac{\sqrt{30} }{10}[/tex]
What are trigonometric ratios?Trigonometric ratios are the ratios of sides of a right-angle triangle. The most common trigonometric ratios are sine, cosine, and tangent.
The relationship between cos x and sin x/2 is
sin x/2 = [tex]\sqrt{\frac{1 - cosx}{2} }[/tex]
cos x = 2/5
sin x/2 = [tex]\sqrt{\frac{1-\frac{2}{5} }{2} }[/tex]
1 - 2/5 = 3/5
simplifying 3/5 ÷ 2
removing division sign and taking the reciprocal of 2, we have
3/5 x 1/2 = 3/10
so that
sin x/2 = [tex]\sqrt{\frac{3}{10} }[/tex]
which can be written as
sin x/2 = [tex]\frac{\sqrt{3} }{\sqrt{10} }[/tex]
By rationalizing [tex]\frac{\sqrt{3} }{\sqrt{10} }[/tex] we multiply it with [tex]\frac{\sqrt{10} }{\sqrt{10} }[/tex]
so that we have [tex]\frac{\sqrt{3} }{\sqrt{10} }[/tex] x [tex]\frac{\sqrt{10} }{\sqrt{10} }[/tex] = [tex]\frac{\sqrt{30} }{10}[/tex]
In conclusion, the radical form of sin x/2 is [tex]\frac{\sqrt{30} }{10}[/tex]
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consider the two jars below, which each contain 10 marbles. in jar a, 70% of the marbles are green and 30% of them are blue. in jar b, 30% of the marbles are green and 70% of them are blue. suppose a computer randomly chooses one of the jars, where there is a 15% chance it chooses jar a and a 85% chance it chooses jar b. the randomly chosen jar is shaken (shuffling its contents), and a marble is drawn out of it: the marble is green. what is the percent chance it came from jar a?
The likelihood that a green marble from jar A will be drawn out of it is 0.105.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty. Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of occurrences that follow a probability distribution.
Here,
For jar A,
Total Marbles=10
Number of green marbles=7
Number of blue of marbles=3
For jar B,
Total Marbles=10
Number of green marbles=3
Number of blue of marbles=7
Probability of choosing jar A=15/100
Probability of choosing jar B=85/100
Probability that a marble is drawn out of it is the marble is green that came from jar a= 15/100*7/10
=105/1000
=0.105
Probability that a marble is drawn out of it is the marble is green that came from jar A is 0.105.
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in 10 seconds jamal travels 550 feet oh his bicycle at this speed how many feet can he travel in 1 minute
Answer:
Step-by-step explanation:
if you where to add up on the byesicle you would get 560 but if you multiply you would get 5,500
In 10 seconds Jamal travels 550 feet on his bicycle at this speed he can travel 3300 feet in 1 minute.
This can be solved with the help of unitary method:
In 10 seconds Jamal travels= 550 feet
In 1 second Jamal travels= 550/10 feet
In 1 minute or 60 seconds Jamal travels= 550/10×60=3300
So at the same speed Jamal can cover 3300 feet in 1 minute.
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Divide. Round to the nearest tenth.
3.5÷2.29
Answer:
1.5
Step-by-step explanation:
look at the number after the 5 If that number is greater than 5, add 1 to the tenth value. If it is less than 5, leave the tenth place value as it is, and remove all the numbers present after the tenth's place
Please help I don’t understand
Answer:
1
Step-by-step explanation:
sum between numerators
(2x + 1)/(2x+1)
The division between tho equals numbers gives 1 as quotient
the mean time it takes for workers at a factory to insert a delicate bolt into an engine is 15 minutes. the standard deviation of time to insert the bolt is 4.0 minutes and the distribution of time is approximately normally distributed. 4% of the time, the bolt is inserted in less than which time value? round to the nearest whole number.
4% of the time, the bolt is inserted in time less than 8 minutes.
For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.
If the probability is 4%, then, using the z-table, the z-score would be -1.75287.
at p = 0.04 z = -1.75287
Using the formula for finding the z-score, solve for the data value, x.
z-score = (x – μ) / σ
where x = individual data value
μ = mean = 15
σ = standard deviation = 4.0
-1.75287 = (x - 15) / 4.0
x - 15 = -7.01148
x = 7.98852
Round off to the nearest whole number.
x = 8
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is chicken good yes or no
Answer:
Chicken is highly nutritious and a good source of protein. Adding chicken to your diet may help support weight loss, muscle growth, and bone health.
Arlin takes out a mortgage of $160,000 from the bank for 20 years at 4.75%. Determine her monthly mortgage payment.
Answer:
Step-by-step explanation:
Hello, the solution to your problem can be found by using the PMT function in Excel.
The function would read: =PMT(.0475/12, 20*12, -160,000)
With this formula the monthly mortgage payment is: $1,033.96.
I have attached a screenshot file containing the correct answer as well; the formula in the bar also shows how to use the function for any other similar problems. I hope this helps. : )
what is the value of 2/10 divided by 5/4
If triangle FGH is similar to triangle KJH, solve for x. show work please
Answer:
None of these
Step-by-step explanation:
Corresponding sides of similar triangles are proportional, so:
[tex]\frac{GH}{JH}=\frac{FH}{KH} \\ \\ \frac{x+8}{52}=\frac{4x-25}{32} \\ \\ 32(x+8)=52(4x-25) \\ \\ 32x+256=208x-1300 \\ \\ 256=176x-1300 \\ \\ 176x=1556 \\ \\ x=389/44[/tex]
A survey was conducted in a classroom of 40 students. On the survey, 10 stated they were
fond of pineapple juice, 15 were fond of orange juice, and 7 liked to have both pineapple and
orange juice. Find how many students were neither fond of pineapple nor orange juice?
Answer: 8
Step-by-step explanation: Add 15, 10, and 7 together to get 32 students fond of OJ or Pineapple juice. then do 40-32 to get 8.
a triangle has 2 vertices at (1,10), (-5,2), and (7,2)
What is the circumcenter
The circumcenter of the triangle that has vertices at (1, 10), (-5, 2), and (7, 2) is (1, 3.75)
What is the circumcenter of a triangle?The circumcenter of a triangle is the point of intersection of the perpendicular bisectors of the three sides of the triangle.
The distance from the circumcenter to each of the three vertices are congruent.
The coordinates of the circumcenter can found using the as follows;
Let (x, y), represent the coordinates of the circumcenter, we get;
The distance of the circumcenter from the vertices of the triangle is the same for the three vertices, therefore;
The specified vertices of the triangle are; (1, 10), (-5, 2), and (7, 2)
The distance of the circumcenter, (x, y), from (1, 10), is therefore;
D₁ = √[(x - 1)² + (y - 10)²]
The distance of the circumcenter, (x, y), from (-5, 2), is therefore;
D₂ = √[(x - (-5))² + (y - 2)²]
The distance of the circumcenter, (x, y), from (7, 2), is therefore;
D₃ = √[(x - 7)² + (y - 2)²]
The properties of the circumcenter indicates that we get;
D₁ = D₂ = D₃
D₁ = √[(x - 1)² + (y - 10)²] = D₂ = √[(x - (-5))² + (y - 2)²] = D₃ = √[(x - 7)² + (y - 2)²]
D₁ = D₂ indicates;
√[(x - 1)² + (y - 10)²] = √[(x - (-5))² + (y - 2)²]
(x - 1)² + (y - 10)² = (x - (-5))² + (y - 2)² = (x + 5)² + (y - 2)²
(x - 1)² + (y - 10)² = (x + 5)² + (y - 2)²
x² - 2·x + y² - 20·y + 101 = x² + 10·x + y² - 4·y + 29
According to the addition and subtraction properties of equality, we get;
x² - 2·x + y² - 20·y + 101 - (x² + 10·x + y² - 4·y + 29) = 0
12·x + 16·y - 72 = 0...(1)D₁ = D₃ indicates√[(x - 1)² + (y - 10)²] = √[(x - 7)² + (y - 2)²]
(x - 1)² + (y - 10)² = (x - 7)² + (y - 2)²
x² - 2·x + y² - 20·y + 101 = x² - 14·x + y² - 4·y + 53
x² - 2·x + y² - 20·y + 101 - (x² - 14·x + y² - 4·y + 53) = 0
12·x - 16·y + 48 = 0...(2)Equation (1) and (2) indicates;
12·x + 16·y - 72 = 12·x - 16·y + 48
12·x - 12·x + 16·y - (-16·y) = 48 - (-72) = 48 + 72 = 120
16·y - (-16·y) = 16·y + 16·y = 32·y = 120
y = 120 ÷ 32 = 3.75
y = 3.75
12·x - 16·y + 48 = 0...(2)
12·x - 16 × 3.75 + 48 = 0
12·x - 12 = 0
12·x = 12
x = 12/12 = 1
x = 1
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26) Write the following exponential expression in an equivalent form:
The following exponential expression [tex]2^{2x+2}[/tex] in an equivalent form is [tex]4^{x} *4[/tex].
What is an exponential equation?
Any equation with exponents in which the exponent or a portion of the exponent is a variable is known as an exponential equation.
Given, [tex]2^{2x+2}[/tex] = [tex]2^{2x} *2^{2}[/tex]
= [tex](2^{2})^x*4[/tex]
= [tex]4^{x} *4[/tex]
Therefore, the exponential expression [tex]2^{2x+2}[/tex] in an equivalent form is [tex]4^{x} *4[/tex]
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263 second grader and 198 third graders choose hot dogs to eat. How many hot dogs do the students eat choose to eat ?
Answer:
461 Hot Dogs.
Step-by-step explanation:
263+198=461 Hot dogs.
For the line maybe you can start at 0 then jump 200 then 60 then 3 then jump another 100 then 90 then 8 to get 461 Hot Dogs.
I hope this helps!
SHOW WORK FOR BRAINLIST
Answer:
x = -36, y = 25
Step-by-step explanation:
x + y = -11------>y = -11 - x
Substitute 11 - x for y into 2x - 3y = 3 and solve for x. Then find y.
[tex]2x - 3( - 11 - x) = 3[/tex]
[tex]2x - 33 - 3x = 3[/tex]
[tex] - 33 - x = 3[/tex]
[tex] - x = 36[/tex]
[tex]x = - 36[/tex]
[tex]y = - 11 - ( - 36) = - 11 + 36 = 25[/tex]
Solve the system by substitution. y=2x x+y=6 with solution
Answer:
The solution is x=2, y=4
Step-by-step explanation:
y = 2x
x+y = 6
Using substitution, we can substitute the first equation into the second equation
x + (2x) = 6
3x = 6
Divide by 3
3x/3 = 6/3
x = 2
Now we can find y
y = 2(2)
y = 4
The solution is x=2, y=4
EXTRA POINTS PLEASE HELP ASAP!!! Will give Brainliest if correct
The local botanical garden is setting up for a special event called "Music Mondays." They expect to have 100 people show up to the event and want to make sure that they have enough room for that many chairs. The first row has 8 chairs in it and each new row adds four chairs. How many chairs would be on the 5th row? Would 5 rows be enough to accommodate the 100 people?
Answer:
The 5th row has 24 chairs, and therefore not enough chairs for 100 people.
Step-by-step explanation:
The equation for this situation is , f(x) = 4x+4 The reason for this is, there is 4 chairs added to every row, so in order to make row number one make sense, you must subtract 4 to find the y-intercept which is also 4.
To find if the 5th row has enough for 100 people, you must plug 5 in for x
The 5th row has 24 chairs, and therefore not enough chairs for 100 people.
The required chairs in the 5th row there is 24 chairs and 5 rows are not enough to accommodate 100 people.
What is arithmetic progression?Arithmetic progression is the series of numbers that have common differences between adjacent values are common.
Here,
A given scenario is of arithmetic progression,
Let the first term be a = 8,
and the common difference between chairs is d = 4,
Now,
Let the number of rows be n,
Now,
The explicit arithmetic formula is given as,
Number of chairs = 8 + (n - 1)4
Now put n = 5
Number of chairs = 8 + (5 - 1) 4
= 8 + 16
= 24
So, in the 5th row, there will be 24 chairs.
Now,
For 100 people number of chairs would be 100
Apply the sum formula of arithmetic progression,
Where sum gives the total number of chairs for n rows,
Sum = n / 2 (a + l)
Sum = 5 / 2(8 + 24)
= 5 / 2 (32)
= 5 × 16
= 80 chairs
Thus, the required chairs in the 5th row there is 24 chairs and 5 rows are not enough to accommodate 100 people.
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The equation 4/5d - 5 = 3/5d - 2 Represents the number of dimes, d, in a stack how many dimes are in the stack?
Answer:
d=10
Step-by-step explanation:
i hoped this helps
Answer:
15 dimes
Step-by-step explanation:
The equation 4/5d - 5 = 3/5d - 2 Represents the number of dimes, d, in a stack how many dimes are in the stack?
You are asked to solve for d:
4/5d - 5 = 3/5d - 2
subtract 3/5d from both sides:
4/5d - 5 - 3/5d = 3/5d - 2 - 3/5d
1/5d - 5 = -2
add 5 to both sides:
1/5d - 5 + 5 = -2 + 5
1/5d = 3
multiply both sides by 5:
5(1/5d) = 3(5)
d = 15
24. walking down jane street, ralph passed four houses in a row, each painted a different color. he passed the orange house before the red house, and he passed the blue house before the yellow house. the blue house was not next to the yellow house. how many orderings of the colored houses are possible?
The number of orderings of the colored houses is possible in 3 ways
There are 24 possible arrangements for the houses. The number of ways with the blue house next to the yellow house is [tex]$3! \cdot 2!=12$[/tex],
as we can consider the arrangements of B,Y, O, and R.
Thus there are [tex]$24-12$[/tex] arrangements with the blue and yellow houses non-adjacent.
Exactly half of these have the blue house before the yellow house by symmetry, and exactly half of those 6 arrangements have the orange house before the red house (also by symmetry), so our answer is
[tex]=$12 \cdot \frac{1}{2} \cdot \frac{1}{2}[/tex]
=3
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Which triangle congruence postulate or theorem proves that these triangles are congruent?
Answer:
a squares + b squared = c squared
is it possible to choose (2n 1)^2 points in the disc of radius n such that the distance between any two of them is greater than 1?
Answer: its (4f 5) ^3
Step-by-step explanation:
Mr. Thompon i buying 1 and 3/4 pound of turkey and 3/4 a much cheee a turkey at the deli
The correct option is D. Mr. Thompson is buying more turkey than cheese.
A fraction with a higher numerator than the denominator is said to be an improper fraction. A mixed fraction has a value that is consistently greater than 1. A mixed fraction has a proper fraction part and a whole number part.
Here, the values are given in both improper and mixed fraction formats. As a first step, convert the given mixed fraction to an improper fraction.
Then, we get 7/4 and 3/4.
To find which fraction is greater, follow the below steps.
Observe the denominator of the given values. Here, the denominator is the same, which is 4.Now compare the numerator of the given values. Here, one is 7 and another is 3. The fraction with a large numerator is greater than another. Therefore, [tex]\frac{7}{4} > \frac{3}{4}[/tex].So, the amount of turkey is greater than the amount of cheese.
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The complete question is -
Mr. Thompson is buying [tex]1\frac{3}{4}[/tex] pounds of turkey and [tex]\frac{3}{4}[/tex] as much cheese as turkey at a deli. Which of the following statements is true?
A. He is buying the same amount of turkey and cheese.
B. He is buying less turkey than cheese.
C. He is buying twice as much turkey as cheese.
D. He is buying more turkey than cheese.
If three times the sum of two number is 42 abd five times their difference is 20 find the numbers.
Chapter Equations Grade 10
Answer:
5 and 9
Step-by-step explanation:
3(x+y) = 42
5(x-y) = 20
3/3 (x+y) = 42/3
5/5 (x-y) = 20/5
x+y = 14
x-y = 4
x-x = 0
y-(-y) = y+y = 2y
14-4 = 10
2y = 10
2/2 y = 10/2
y = 5
x-5 = 4
x = 4 + 5
x = 9
Answer:
One number is 5 and the other number is 9
Step-by-step explanation:
A block i pulled 0. 90 meter to the right in 2. 5 econd. What i the block' average peed to the nearet hundredth of a meter/econd (m/)?
If a block is pulled 0.90 meter to the right in 2.5 second, then the average speed is 0.36 meter per second
The distance that he pulled the block = 0.90 meter
The time taken = 2.5 second
The average speed is defined as the total distance travelled by the total time taken
The average speed = Total distance / Time taken
Substitute the values in the equation
The average speed = 0.90 / 2.5
Divide the terms
= 0.90 / 2.5
= 0.36 meter per second
Hence, if a block is pulled 0.90 meter to the right in 2.5 second, then the average speed is 0.36 meter per second
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