Writing equations of lines of best fit

Answer: She need 14 visits to reach 90 points

Step-by-step explanation:

Let y be the number of points and v be the number of visits

We will have an equation

y= 2.5v + 55

Now we want to find the number of visits she needs to reach 90 points; we put 90 in the y.

90 = 2.5v +55

Subtracted 55 from both sides

35 = 2.5v

Divided both sides by 2.5

v= 14 visits

So she need 14 visits to reach 90 points

Answer:

----------------------------------------------------

Add up the two numbers:

Split this in half:

This is matching the third option.

To find the equation of the line that passes through the point (1, 2) and is perpendicular to the line y=3x-1, we can first find the slope of the line y=3x-1. The slope of this line is 3, so a line perpendicular to it will have a slope of -1/3. We can then use the point-slope form of the line to write the equation of the line that passes through (1,2) and has a slope of -1/3. The point-slap form of a line is given by y-y₁ = m(x-x₁), where (x₁,y₁) is a point on the line and m is the slope of the line. Plugging in the coordinates of the point (1,2) and the slope -1/3, we get the equation y-2 = -1/3(x-1), which simplifies to y-2 = -x/3 + 1/3. Multiplying both sides of the equation by 3 to get rid of the fractions, we get 3y-6 = -x+1. Finally, we can move all the terms to one side of the equation to get the standard form of the line: 3y-x-5 = 0. Therefore, the equation of the line that passes through the point (1, 2) and is perpendicular to the line y = 3x - 1 is x-3y-5=0, so the correct answer is A.

20,000 pounds equals to 10 US ton.

Value conversion from Pound to US Ton

Add the value and the conversion ratio together.

1 pound = 0.0005 US ton

20,000 pounds worth

20,000 pounds × value of one US ton

20,000 × 0.0005

10 tons

Therefore, 20,000 pounds equals to 10 US ton.

To learn more about pounds check the given link

https://brainly.com/question/2872687

#SPJ4

Answer:

720

Step-by-step explanation:

[tex]\frac{n!}{(n-r)!}[/tex]

[tex]\frac{10!}{(10-3)!}[/tex]

[tex]\frac{10!}{7!}[/tex]

720

Answer:

Step-by-step explanation:

By subtracting the cost of goods sold form the net sales, the gross profit = $439000.

Gross profit is a financial measure that represents the difference between a company's net sales and the cost of goods sold. It is a key indicator of a company's profitability and can be used to assess the efficiency of the company's operations.

The formula for calculating gross profit is:

Gross profit = net sales - cost of goods sold

Gross profit = net sales - cost of goods sold

Gross profit = $732400 - $293400

Gross profit = $439000

Therefore, the gross profit of the company is $439000.

To learn more about profit and loss visit:

https://brainly.com/question/13934673

#SPJ4

Answer:

120

Step-by-step explanation:

5(22-16) + 5(10+8)

5(6) + 5(18)

30 + 90

120

Answer: Only 1 pound.

Step-by-step explanation: It saying it Infront of ya as it said "1 pound fills each acre each".

Answer: 18/9 if not it's something along that-

Step-by-step explanation:

7^2 = 49 so like 49-31 equals 18 and the denominator 3^2 = 9 , so if it's not 18/9 then it's like 1/2 or something bc 9 + 9 is 18 yk-

The solution to this inequality is x >= 58. This means that Latanya should buy at least 58 sets of glasses in order to have at least 739 glasses.

What is the inequality equation?

Equations and inequalities are mathematical sentences formed by relating two expressions to each other. In an equation, the two expressions are supposed to be equal and shown by the symbol =. Whereas in inequality, the two expressions are not necessarily equal and are indicated by the symbols: >, <, ≤, or ≥.

To determine the minimum number of sets of glasses that Latanya should buy, we can set up the following inequality:

x * 6 + 390 >= 739

This inequality states that the number of glasses Latanya has after buying x sets of glasses should be greater than or equal to the minimum number of glasses the restaurant needs.

To solve for x, we can subtract 390 from both sides of the inequality to get:

x * 6 >= 739 - 390

x * 6 >= 349

x >= 349/6

x  >= 58.16

x >= 58

Hence, The solution to this inequality is x >= 58. This means that Latanya should buy at least 58 sets of glasses in order to have at least 739 glasses.

To learn more about the inequality equation visit,

https://brainly.com/question/28230245

#SPJ1

The ratio of red marble to blue marble in a bag is 3:4. If there are 42 marble in the bag,There would be 30 red marbles in the bag.

Red and blue marbles are distributed in a 3:4 ratio.This means that for every 4 blue marbles, there are 3 red marbles.

If we divide 42 (the total number of marbles in the bag) by 4, we get 10.5. This tells us that if there are 4 blue marbles, there are 10.5 red marbles. We can't have a fraction of a marble, so we round down to 10.

Since for every 4 blue marbles there are 3 red marbles, if there are 10 blue marbles, there must be 10 x 3 = 30 red marbles.

Therefore, there are 30 red marbles in the bag.

Learn more about ratio here

https://brainly.com/question/13419413

#SPJ4

The right answer is: E, according to the Central Limit Theorem for proportionality. The statistic is inaccurate.

In probability theory, the central limit theorem establishes that, in many situations, when independent random variables are summed up, their properly normalized sum tends toward a normal distribution even if the original variables themselves are not normally distributed.

The Central Limit Theorem establishes that for a proportion p in a sample of size n:

The expected value is μ=р

The standard error is s=[tex]\sqrt{\frac{p(1-p)}{n} }[/tex]

In this problem, the expected value is different of the expected of μ=р , hence, the statistic is biased, and the correct option is E.

To learn more about Central limit theorem visit: brainly.com/question/4086221

#SPJ4

Julia needs to spend 1.92 hours exercising on Sunday in order to reach her goal.

The number of hours Julia needs to spend exercising on Sunday can be calculated as follows;

Total number of hours to spend exercising = 5 1/4 = 21/4 = 5.25 hours

Total number of hours spent exercising on Saturday = 3 1/3 = 10/3 = 3.33 hours

Now the number of hours she needs to spend exercising on Sunday can be determined by subtraction as follows;

Hours on Sunday = Total hours - Hours on Saturday

Hours on Sunday = 5.25 hours - 3.33 hours

Hours on Sunday = 1.92 Hours

Thus the number of hours she needs to spend exercising on Sunday is calculated to be 1.92 hours.

Although a part of your question is incorrect, you might be referring to this question:

Julia decided to spend 5 1/4 hours exercising over the weekend. She spent 3 1/3 hours exercising on Saturday. How much longer doe he need to spend exercising on Sunday in order to reach her goal?

To learn more about subtraction; click here:

https://brainly.com/question/13378503

#SPJ4

Answer:

Greater than

Step-by-step explanation:

65% =65/100=6.5/10=3.25/5

Answer 1+13-b

I just built diff

Answer:

y=6

Step-by-step explanation:

The equation of a line in slope-intercept form is given by:

y = mx + b

where m is the slope of the line and b is the y-intercept, which is the point where the line crosses the y-axis. In this case, we are given that the line passes through the point (8, 6) and has a slope of 0, so we can plug these values into the equation to find the equation of the line.

Since the slope of the line is 0, the equation of the line becomes:

y = 0x + b

To find the value of b, we need to plug in the coordinates of the point (8, 6) into the equation and solve for b. This gives us:

6 = 0 * 8 + b

b = 6

Therefore, the equation of the line is given by:

y = 0x + 6

This equation tells us that the y-coordinate of any point on the line is always 6, regardless of the x-coordinate of the point. This means that the line is horizontal and passes through the point (8, 6).

Rewriting the given trigonometric form using trigonometric identities by eliminating fraction form gives [tex]-cotx.cosx.(sinx+1)[/tex]

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions.

There are numerous distinctive trigonometric identities that relate a triangle's side length and angle. Only the right-angle triangle is consistent with the trigonometric identities.

The six trigonometric ratios serve as the foundation for all trigonometric identities. Sine, cosine, tangent, cosecant, secant, and cotangent are some of their names. The adjacent side, opposite side, and hypotenuse side of the right triangle are used to define each of these trigonometric ratios. The six trigonometric ratios are the source of all fundamental trigonometric identities.

We know that,

[tex]cot^{2} x = \frac{cos^{2}x }{sin^{2}x }[/tex]

[tex]1+cscx = (1+\frac{1}{sinx} ) = \frac{sinx+1}{sinx}[/tex]

Rewriting the given trigonometric form using trigonometric identities by eliminating the fraction form gives[tex]-cotx.cosx.(sinx+1)[/tex]

To know more about trigonometric identities, visit:

https://brainly.com/question/24496175

#SPJ1

96 minimum sample size required to have 95% confidence that the variance of the sample is within 20% of the variance of the population.

Given that,

We have to determine the minimal sample size required to have 95% confidence that the variance of the sample is within 20% of the variance of the population.

We know that,

Confidence Interval is CI=95%

Variance is σ²=20%

We have

n=(Z/M.E)²

n=(1.96/0.20)²

n=(9.8)²

n=96.04

Therefore, 96 minimum sample size required to have 95% confidence that the variance of the sample is within 20% of the variance of the population.

To learn more about minimum visit: https://brainly.com/question/21426575

#SPJ4

Answer:

Step-by-step explanation:Sketch the curve with equation x^(2/3) + y^(2/3) = 1 and usesymmetry to find its length.

The correct option c. 12, is the constant of proportionality.

The ratio between two quantities that are directly proportional is the constant of proportionality.

For the stated question-

f (x) = startfraction 12 over x squared endfraction

Rewrite the function as;

f(x)=12/x^2,

Constant of proportionality = 12 (only fixed term in the function)

Thus, the constant of proportionality for the function f(x)=12/x^2, is found as 12.

To know more about the constant of proportionality, here

https://brainly.com/question/28413384

#SPJ4

0.003 is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations

To calculate the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations.The mean is the expected number of calls involving a fax transmission, while the standard deviation is the measure of variability in the distribution. We then use this information to calculate the probability of exceeding the expected number by more than 2 standard deviations, which can be done using the z-score formula. The z-score for values more than 2 standard deviations away from the mean is 2.33, which corresponds to a probability of 0.003. Thus, the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.003.

Learn more about probability here

https://brainly.com/question/11234923

#SPJ4

Answer:

1) N = M - L

Step-by-step explanation:

Given equation,

→ L = M - N

Now the value of N will be,

→ L = M - N

→ M - N = L

→ -N = L - M

→ N = -L + M

→ [ N = M - L ]

Hence, value of N is M - L.

The point F( – 4, – 1) i rotated 270° counterclockwie around the origin. then The coordinates of the point F' is (-1 ,4 )

Given that the point J(-2,1) is rotated about 270° about the origin.

Coordinates of the resulting point F':

Since, we know that, when rotating a point 270° counterclockwise about the origin, the point (x,y) becomes (y,-x) which means we switch the places of x and y coordinates and make x as negative.

Therefore, the transformation is given by

(x ,y) -> ( y , -x)

Using the above transformation, we have,

(-4 ,-1) ⇒ ( -1 , -(-4)) ⇒ (-1 , 4)

Therefore, the resulting point of the coordinates of the point F' is (-1 ,4)

learn more about of transformation here

https://brainly.com/question/15212200

#SPJ4

Answer:

The possible values of t for which the rocket's height is 12 meters are approximately 1.1 or -1.1.

Step-by-step explanation:

12 = 35t - 5t^2

t = (-b ± √(b^2 - 4ac)) / 2a

t = (35 ± √(35^2 - 4(-5)(-12))) / 2(-5)

t = (35 ± √(35^2 + 240)) / -10

t = (35 ± √575) / -10

t = (35 + √575) / -10 = (35 + 24) / -10 = 11/10 = 1.1

t = (35 - √575) / -10 = (35 - 24) / -10 = -11/10 = -1.1

The rocket's height is 12 meters at time t = 0.4 seconds.

Two or more expressions with an Equal sign is called as Equation.

A model rocket is launched with an initial upward velocity of 35 m/s.

The rocket's height h (in meters) after t seconds is h=35t-5t

We have to find the time(s) when the rocket's height is 12 meters, we need to solve the equation:

h = 35t - 5t = 30t

We want to find all values of t that make h = 12. So we set h = 12 and solve for t:

12 = 30t

Divide both sides by 30

t = 12/30

t = 0.4

Therefore, the rocket's height is 12 meters at time t = 0.4 seconds.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

The rate of change of the given data between 3 and 7 hours is; 19 miles per hour

We are told that rate of change is the difference between what the value of the data began at versus the value the data ended at.

Now, the formula for the rate of change between two coordinates (x₁, y₁) and (x₂, y₂) is;

Rate of change = (y₂ - y₁)/(x₂ - x₁)

Now, we are told that we should find the rate of change from 3 to 7 hours and so we first write the coordinates;

(3, 209) and (7, 285)

Thus;

Rate of change = (285 - 209)/(7 - 3)

Rate of change = 76/4

Rate of change = 19 miles per hour

Read more about rate of change at; https://brainly.com/question/8728504

#SPJ1

Answer:

Step-by-step explanation:

< 4/7

Answer: welp what is inside of the arrays

Step-by-step explanation:

Step-by-step explanation:

Part A: 3(-2) + 2(-2)

Part B: [3(8) + 2(18) - 1] - [3 + 2(-2)]

Price Discount

The annual percentage yield is 4.835%. Mabel Causino has $35,000 to invest in a certificate of deposit for 4 years. The CD earns 4.75% interest compounded daily.

An annual percentage rate, or APR, is a figure that expresses the entire cost of borrowing money as a proportion of the loan's principle. An accurate picture of how much it costs to borrow money is intended to be provided by the APR on a loan or credit card.

Given

Mabel Causino has $35,000 to invest in a certificate of deposit for 4 years. The CD earns 4.75% interest

compounded daily.

1.048353

The table on page A14 shows the cost per $1.00 (over the course of a year).

$35,000×1.048353=$36,692.36

The sum of the initial principle and the amount per $1.00 is the amount (for a year).

$36,692.36−$35,000=$1,692.36

The difference between the amount (for one year) and the initial principal is the interest (for one year).

$1,692.36÷$35,000

=0.04835

=4.835%

The interest (for a year) divided by the initial principle results in the annual percentage yield.

4.835%

The annual percentage yield is 4.835%. Mabel Causino has $35,000 to invest in a certificate of deposit for 4 years. The CD earns 4.75% interest compounded daily.

To learn more about annual percentage, visit:

https://brainly.com/question/14184570

#SPJ1

The dimension is d and d<n. Thus maximum number of linearly independent vectors that can draw from the set V1, V2....Vn is d.

First note that for "any vector space V, basis B of V is maximal linearly independent set in V". That is there is no other any linearly independent set which contains more than |B| number of elements on B. Let us consider this statement as 1. Two or greater vectors are stated to be linearly independent if none of them may be written as a linear mixture of the others. On the contrary, if at the least certainly considered one among them may be written as a linear mixture of the others, then they may be stated to be linearly dependent. Now here dimension is d and d<n. Thus maximum number of linearly independent vectors that can draw from the set V1, V2....Vn is d.

Thus, the maximum number = d

Therefore, statement is true hence proved.

To learn more about linearly independent check the link below:

https://brainly.com/question/10725000

#SPJ4