The probability that the weight of a randomly caught Pacific yellowfin tuna is less than 50 pounds is approximately 0.0668 or 6.68%.
The weights of the Pacific yellow fin tuna follow a normal distribution with a mean weight of 68 pounds and a standard deviation of 12 pounds. To find the probability that a randomly caught Pacific yellow fin tuna weighs less than 50 pounds, we can follow these steps:
1. Calculate the z-score for the weight of 50 pounds using the formula:
z = (X - μ) / σ
where X is the weight, μ is the mean, and σ is the standard deviation.
2. Find the probability associated with the z-score using a z-table or calculator.
Let's calculate the z-score:
z = (50 - 68) / 12
z = -18 / 12
z = -1.5
Now, we can use a z-table or calculator to find the probability associated with the z-score of -1.5. The probability that a randomly caught Pacific yellow fin tuna weighs less than 50 pounds is approximately 0.0668, or 6.68%.
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Bottom of a flower pot has a diameter of 7 cm. How much space will the flower pot take up
The amount of space that the flower pot will take up is: 38.47 cm²
How to find the area of a circle?We are given that the bottom of the given flower pot has a diameter of 7 cm.
Now, the space that the flower pot will cover is simply the area the the circle base.
Formula for the area of a circle is:
A = πr²
where:
A is area
r is radius
We have d = 7 cm
Thus: r = 7/2 = 3.5 cm
A = π * 3.5²
A = 3.14 * 3.5²
A = 38.47 cm²
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Laura had 10 shirts she then bought 3 shirts each week for 4 weeks
If Laura had 10 shirts to begin with and then bought 3 shirts each week for 4 weeks, she would have:
10 + (3 x 4) = 22 shirts
After 4 weeks, she would have a total of 22 shirts.
A store sells pajamas in two sizes.
• The child size is for people less than `60` inches tall.
• The adult size is for people `60` inches tall or more.
Juan’s height is `145` centimeters.
Would he fit the child or adult size
What is the answer
he would fit the child size
his height is 145cm and we want to convert it into inches so the formula is
length/2.54=
145cm/2.54=57.08in
so juan is 57.08 inches, so he fits the child size.
Solve for x. Round your answer to the nearest tenth, and type it in the blank without units.
The value of x in the triangle is 17.6 m.
How to solve for the value of x in the triangle?
Trigonometry deals with the relationships between the sides and angles of triangles.
The three primary trigonometric functions are sine, cosine, and tangent, which are ratios of the sides of a right triangle. These functions are often abbreviated as sin, cos, and tan.
Using the given triangle:
cos 54° = x/30 (cos = adjacent/hypotenuse)
x = 30 * cos 54°
x = 17.6 m
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You work in a pharmacy that mixes different concentrations of saline solutions for its customers. The pharmacy has a supply of two concentrations, 0.50% and 2%. The function
100(0.02) + x(0.005)
y=
100 +x
gives the amount x in milliliters of the 0.5% solution you must add to 100 milliliters of the 2% solution to form a new concentration y of saline solution. How
many milliliters of the 0.5% solution must you add for the combined solution to have a concentration of 0.88%?
You must add approximately mL.
(Round to one decimal place as needed)
Answer:
294.7 mL
Step-by-step explanation:
You want to know the volume (x) in mL of 0.5% solution to be added to 100 mL of 2% solution to make a mix that has a concentration of 0.88%.
SetupThe given equations seem to be missing something. We want ...
100(0.02) +x(0.005) = (100 +x)(0.0088)
SolutionWe like to play with larger numbers, so we'll multiply this equation by 100 as we simplify it.
200 +0.5x = 88 +0.88x
112 = 0.38x . . . . . . . . . . . . . subtract 88+0.5x
294.7 = x . . . . . . . . . . . . divide by 0.38
You must add approximately 294.7 mL of 2% solution.
You may need to use the appropriate appendix table or technology to answer this question. The following results come from two independent random samples taken of two populations. Sample 1 Sample 2 ni = 50 n2 = 35 = X1 13.6 x2 = 11.6 0 1 = 2.4 02 3 (a) What is the point estimate of the difference between the two population means? (Use x1 - xz.) 2 (b) Provide a 90% confidence interval for the difference between the two population means. (Use X2 Round your answers to two decimal places.) 0.98 X to 3.02 x - X2. Round your answers to two decimal places.) (C) Provide a 95% confidence interval for the difference between the two population means. (Use X X to 3.21 x 0.79
The appendix table the point estimate of the difference between the two population means is 2
The difference between the two population means, we need to find the standard error of the difference and use the t-distribution with (n1 + n2 - 2) degrees of freedom. The formula for the standard error of the difference is:
SE = sqrt[ (s1 / n1) + (s2 / n2) ]
Substituting the given values, we get:
SE = sqrt[ (2.4 / 50) + (3 / 35) ] = 0.617
Using a t-distribution with 83 degrees of freedom (50 + 35 - 2), and a 90% confidence level, we find the t-value to be 1.66 (from the t-table or calculator). Therefore, the 90% confidence interval is:
x1 - x2 ± t(α/2) * SE
= 2 ± 1.66 * 0.617
= 0.98 to 3.02
So, we can say with 90% confidence that the true difference between the two population means lies between 0.98 and 3.02.
To calculate the 95% confidence interval:
x1 - x2 ± t(α/2) * SE
= 2 ± 2.00 * 0.617
= 0.79 to 3.21
So, we can say with 95% confidence that the true difference between the two population means lies between 0.79 and 3.21.
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Carbon 14 has a half-life of 5,600 years. If a fossil contains 3 g of radioactive carbon 14, how many grams did it contain 11,200 years ago
Carbon 14 has a half-life of 5,600 years, which means that after 5,600 years, half of the initial amount of Carbon 14 will decay. Therefore, we can use the following formula to find the amount of Carbon 14 that was present 11,200 years ago:
A = A0 * (1/2)^(t/T)
where:
A0 = initial amount of Carbon 14
A = amount of Carbon 14 remaining after time t
t = time elapsed since the initial amount was present
T = half-life of Carbon 14
How many grams did it contain 11,200 years ago?We know that the fossil contains 3 g of Carbon 14, which is the amount remaining after 11,200 years. We want to find the initial amount, A0.
Let's plug in the values we have into the formula and solve for A0:
3 g = A0 * (1/2)^(11,200/5,600)
3 g = A0 * (1/2)^2
3 g = A0 * 1/4
A0 = 4 * 3 g
A0 = 12 g
Therefore, the fossil contained 12 g of Carbon 14 11,200 years ago.
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1. the general term of a sequence is 4n - 1 which time is a. 15 b. 83
Answer:
the answer of the sequence is a
assertion: if p and q are integers and is represented in the form of p/q then it is a rational number
reason: 17/3 is a rational number
The assertion will be correct and the reason provided is also correct.
A rational number is termed as a number which can be represented as the ratio of the two integers, where the denominator (q) will be not equal to zero. In other words, a rational number can be expressed in the form of a p/q, where p and q are the integers and q ≠ 0.
In the given reason, 17/3 is cited as an example of a rational number. Since both 17 and 3 are integers, and 3 ≠ 0, 17/3 can be expressed as the ratio of two integers, making it a rational number.
Therefore, the assertion will be true, and the reason provided is correct.
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Using the explicit formula find the 11th term of the sequence. -4, 8, -16, 32, ...
Answer:
4096.
Step-by-step explanation:
We need to check if it's a geometric or arithmetic sequence (looking for the common ratio, r). The sequence goes -4, 8, -16, 32, so we can multiply the previous number by -2 to get the next number, and so on and so forth. This makes it a geometric sequence.
The formula for finding the nth term of a geometric sequence is [tex]u_{n} = u_{1} r^{n-1}[/tex]. The term we are looking for is the 11th. Let's plug these values in now:
[tex]u_{n} = u_{1}r^{n-1}[/tex]
[tex]u_{11} = -4(-2)^{11-1}[/tex]
[tex]u_{11} = 4096[/tex]
Therefore the 11th term is 4096.
Which of the following equations is of a parabola with a vertex at (1, -1)?
The equation of a parabola with a vertex at (-1, -1) is y = (x +1)²- 1.
Question 3
Terry has a new retirement account. He plans to make deposits of $4,750 per year for the next 40 years. He expects the account to earn 9.1% for the first 25 years, 6.9% for the next ten years, and then 4.5% for the last five years. How much will have have at the end of the forty years based on these assumptions?
With an initial investment of $19,675.13 and yearly deposits of $3,000 at an interest rate of 9.25%, the account will be worth around $336,312.91 in 25 years.
what is unitary method ?The unitary approach is a strategy for problem-solving in which the value of one piece of a quantity is determined, then the cost of an unique number of units associated with that quantity is subsequently determined using that value. In other words, it's a method of proportional used to resolve issues where one unit's value is known but another's value is needed. The unitary method's fundamental premise is to establish a percentage between two quantities, one of which is stated in the form of one unit and the other in terms of a greater number of units.
given
In the following ten years, we have:
P = $4,750 r = 6.9% = 0.069
n = 10
[tex]FV2 = $4,750 * ((1 + 0.069)^10 - 1) / 0.069[/tex]
= $74,894.87
In the previous five years, we have:
P = $4,750
r = 4.5% = 0.045
n = 5
= $127,756.44
Lastly, we can combine the two figures to determine the account's entire future value:
FV is $208,556.47 + $127,756.44 = $336,312.91 (annual deposits + initial investment).
With an initial investment of $19,675.13 and yearly deposits of $3,000 at an interest rate of 9.25%, the account will be worth around $336,312.91 in 25 years.
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You are playing a game where a quarter is tossed 4 times. What is the probability that the quarter lands on tails exactly one time?
PLEASE ANSWER FAST!
When Gina first started working for a pro football player, he had 4,125 followers and she was able to increase his followers by 9% per month. How long would it take the football player to double his current online following of 105,326? Round answer to two decimal places
It would take about 8.59 months for the football player to double his current following, assuming that his follower count continues to increase at a rate of 9% per month.
To find out how long it would take for the football player to double his current online following of 105,326, we need to find the distance from his starting point to the doubling point. In other words, we need to find out how many followers he needs to gain in order to have 2 times his current following.
To do this, we can use the formula for exponential growth:
A = P(1 + r)ⁿ
where A is the final amount, P is the initial amount, r is the rate of growth (in decimal form), and t is the time (in months).
In this case, we want to find t, the time it would take for the football player to double his current following. So we can rewrite the formula as:
2P = P(1 + 0.09)ⁿ
Simplifying this equation, we can divide both sides by P:
2 = (1 + 0.09)ⁿ
Taking the natural logarithm of both sides, we get:
ln(2) = t ln(1 + 0.09)
Solving for t, we divide both sides by ln(1 + 0.09):
t = ln(2) / ln(1 + 0.09)
Using a calculator, we get t ≈ 8.59 months.
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Write an explicit formula for an, the nth term of the sequence 14, 16, 18,
The explicit formula for the nth term of the sequence 14, 16, 18, ... is an = 2n + 12.
Define sequenceIn mathematics, a sequence is an ordered list of elements that follow a specific pattern or rule. The elements can be numbers, letters, or other objects. Each element in the sequence is called a term, and the position of a term in the sequence is determined by its index or subscript.
The given sequence is an arithmetic sequence with a common difference of 2.
The first term (a₁) is 14.
The nth term of an arithmetic sequence can be found using the formula:
aₙ = a₁ + (n - 1)d
where d is the common difference.
Substituting the given values, we get:
aₙ = 14 + (n - 1)2
Simplifying, we get:
aₙ = 2n + 12
Therefore, the explicit formula for the nth term of the sequence 14, 16, 18, ... is an = 2n + 12.
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Between which values on the df = 3 line does your calculated χ^2 value lie?- between 1.42 and 2.19- between 1.42 and 2.37- between 1.65 and 2.19- between 2.37 and 3.66
The x² value lie between 1.42 and 2.37
The formula to calculate the x² value is:
χ² = Σ (Observed frequency - Expected frequency)² / Expected frequency
Here, Σ represents the sum of all the values in the calculation. The observed frequency is the actual frequency of a category in the sample, while the expected frequency is the theoretical frequency based on the null hypothesis.
The x² value is compared to a chi-squared distribution table to determine its significance level. The table shows the probability of obtaining a certain x² value under the null hypothesis for different degrees of freedom. Degrees of freedom (df) are calculated as the number of categories minus 1.
If the calculated x² value is greater than the critical value from the table for a given significance level, the null hypothesis is rejected, and the alternative hypothesis is accepted. This means that there is a significant relationship between the variables. If the calculated x² value is less than the critical value, the null hypothesis is accepted, and no significant relationship is found.
In the context of the problem given, the x² value is used to test the hypothesis that the genes are unlinked. The significance level used is 0.05, which means that there is a 5% chance of rejecting the null hypothesis when it is actually true. If the probability corresponding to the x² value is less than or equal to 0.05, the hypothesis should be rejected. If it is greater than 0.05, the results are not statistically significant, and the hypothesis is accepted.
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Complete Question:
The x² value means nothing on its own- it is used to find the probability that, assuming the hypothesis is true, the observed data set could have resulted from random fluctuations. A low probability suggests that the observed data are consistent with the hypothesis, and thus the hypothesis should be rejected, A standard cutoff point used by biologists is a probability of 0.05(5%). If the probability corresponding to the x² value is 0.05or considered statistically significant, the hypothesis (that the genes are unlinked) should be rejected. If the probability is above 0.05, the results are not statistically significant: the observed data are consistent with the hypothesis.
Determines which values on the df =3 line of the table your calculated x² value lies between.
Only questions 7, 9, 10, and 11
PLS show how you got the answer and explain
GIVING BRAINLIEST
Answer:
7) .15 + .7 = .85, .1 + .7 = .8
9) Another way to write 44n (44
times n) is 44•n.
Another way to write 44 ÷ n (44
divided by n) is 44/n.
10) $.25 × 7 = $1.75
11) A driver buys d gallons of gas at $3.25 per gallon. How much does the driver spend on gas?
Gabby made a scale drawing of the town library. She used the scale 1 centimeter : 5 meters. The actual width of the parking lot is 80 meters. How wide is the parking lot in the drawing?
The width of the parking lot in the drawing is 16 centimeters
Gabby made a scale drawing of the town library. She used the scale 1 centimeter : 5 meters. The actual width of the parking lot is 80 meters.
If the scale is 1 centimeter : 5 meters, then 1 centimeter on the drawing represents 5 meters in real life.
To find the width of the parking lot in the drawing, we need to set up a proportion
1 cm : 5 m = x cm : 80 m
Where x is the width of the parking lot in the drawing.
To solve for x, we can cross-multiply and simplify
1 cm * 80 m = 5 m * x cm
80 cm = 5x
x = 16 cm
Therefore, the width of the parking lot in the drawing is 16 centimeters.
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72° (x+4)° Write an equation that can be used to find the value of x.
Answer:
In a triangle, the sum of the interior angles is 180 degrees. So, we can set up the following equation:
72° + (x+4)° + A = 180°
where A is the measure of the third angle in the triangle.
Simplifying the equation, we get:
(x+4)° + 72° + A = 180°
x + 76° + A = 180°
Subtracting 76° from both sides, we get:
x + A = 104°
Therefore, an equation that can be used to find the value of x is x + A = 104°, where A is the measure of the third angle in the triangle. Note that we do not have enough information to solve for x or A individually, but we can use this equation to relate the two angles in the triangle.
Question 10(Multiple Choice Worth 2 points)
(Circle Graphs MC)
A New York City hotel surveyed its visitors to determine which type of transportation they used to get around the city. The hotel created a table of the data it gathered.
Type of Transportation Number of Visitors
Walk 120
Bicycle 24
Car Service 45
Bus 30
Subway 81
Which of the following circle graphs correctly represents the data in the table?
circle graph titled New York City visitor's transportation, with five sections labeled walk 80 percent, bus 16 percent, car service 30 percent, bicycle 20 percent, and subway 54 percent
circle graph titled New York City visitor's transportation, with five sections labeled walk 40 percent, bicycle 8 percent, car service 15 percent, bus 10 percent, and subway 27 percent
circle graph titled New York City visitor's transportation, with five sections labeled subway 40 percent, bus 8 percent, car service 15 percent, bicycle 10 percent, and walk 27 percent
circle graph titled New York City visitor's transportation, with five sections labeled subway 80 percent, bicycle 20 percent, car service 30 percent, bus 16 percent, and walk 54 percent
So, the circle graph entitled New York City visitor's transportation with five sections labelled walk 40%, bicycle 8%, car service 15%, bus 10%, and subway 27% is the proper option that displays the data in the circular graphs.
Explain about the circle graphs:A circle represents 360 degrees. A circle can be split up into smaller sections. An arc is a segment of a circle, and arcs are named based on their angles.
To illustrate information and data, use a circle graph or pie chart. Often, a circle graph is used to quickly and proportionately display the findings of an investigation.
Given data:
Type of Transportation Number of Visitors Percentage
Walk 120 120*100/ 300 = 40%
Bicycle 24 24*100/ 300 = 8%
Car Service 45 45*100/ 300 = 15%
Bus 30 30*100/ 300 = 10%
Subway 81 81*100/ 300 = 27%
Total 300
So, the circle graph entitled New York City visitor's transportation with five sections labelled walk 40%, bicycle 8%, car service 15%, bus 10%, and subway 27% is the proper option that displays the data in the circular graphs.
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Quiz Active
Does anyone know the answer
Answer:c the third one
Step-by-step explanation: because i did it!
Rewrite the equation in slope-intercept form: 5x + 9y = 30
Answer:
y = (-5/9)x + 30/9
Step-by-step explanation:
To rewrite the equation 5x + 9y = 30 in slope-intercept form, we need to isolate y on one side of the equation.
5x + 9y = 30
Subtract 5x from both sides of the equation to isolate 9y:
5x - 5x + 9y = -5x + 30
9y = -5x + 30
Divide both sides of the equation by 9 to solve for y:
9y/9 = (-5x + 30)/9
y = (-5/9)x + 30/9
PLS HELP I WILL GIVE YOU 50 PTS BUT IF FOOL ANSWERS WILL GET REPORTED AND GOOD ANSWERS WILL GET BRAINLYEST
Answer: Ok so first you would take the 86 and multiply it by .2 or 20% and that would get you 17.2 for blank 2
then you would take 86 and subtract 17.2 to get 68.8 for blank 3
sooo... he would pay 68 dollars and 80 cents with the coupon
Step-by-step explanation:
im really smart and good at math : )
Which of these is something I can pay for with the money in a savings account?
Answer:
what are the options?
Step-by-step explanation:
what equation is parallel to the equation y=1.5x-6
Answer:
Any linear equation with a slope of 1.5
(examples:
y=1.5x-14y=1.5x+2y=1.5x+387)Step-by-step explanation:
If two equations are parallel, their slopes are the same.
y=1.5x-6 is written in slope-intercept form, which is:
[tex]y=mx+b[/tex]
Where m is the slope, and b is the y-coordinate of the y-intercept.
Thus, looking at the equation y=1.5x-6, we can find that m=1.5.
This means that the slope is 1.5.
Think of any equation in this format that uses 1.5 as the slope. Here are a few examples:
y=1.5x-14y=1.5x+2y=1.5x+387The graphs of all of these equations are parallel to the graph of y=1.5x-6 because their slopes are the same.
You can write your own equation using a slope of 1.5.
What are the measures of ∠1 and ∠2?
The measure of angle 1 is 67.4°. The measure of angle 2 is 104.5°.
What is angle?An angle is the measure of the amount of rotation between two lines or two planes that meet at a point. It is typically measured in degrees or radians. An angle can be acute, meaning it is less than 90 degrees, right, meaning it is exactly 90 degrees, obtuse, meaning it is greater than 90 degrees but less than 180 degrees, or straight, meaning it is exactly 180 degrees. An angle can also be positive or negative, depending on the direction of rotation between the lines or planes. Angles are used in various fields such as mathematics, engineering, physics, and geometry.
Here,
180-121.8=58.2°
180-(58.2+17.3)=104.5°
180-104.5=75.5°
180-(75.5+37.1)=67.4°
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in a plane, four circles with radii 1,3,5, and 7 are tangent to line l at the same point a, but they may be on either side of l. region s consists of all the points that lie inside exactly one of the four circles. what is the maximum possible area of region s?
Answer: Let us call the centers of the four circles C1, C3, C5, and C7, respectively, where the subscript refers to the radius of the circle. Without loss of generality, we can assume that the tangent point A lies to the right of all the centers, as shown in the diagram below:
C7
o-----------o
C5 / \ C3
/ \
o-----------------o
C1
|
|
| l
|
A
Let us first find the coordinates of the centers C1, C3, C5, and C7. Since all the circles are tangent to line l at point A, the centers must lie on the perpendicular bisector of the line segment joining A to the centers. Let us denote the distance from A to the center Cn by dn. Then, the coordinates of Cn are given by (an, dn), where an is the x-coordinate of point A.
Using the Pythagorean theorem, we can write the following equations relating the distances dn:
d1 = sqrt((d3 - 2)^2 - 1)
d3 = sqrt((d5 - 4)^2 - 9)
d5 = sqrt((d7 - 6)^2 - 25)
We can solve these equations to obtain:
d1 = sqrt(16 - (d7 - 6)^2)
d3 = sqrt(4 - (d7 - 6)^2)
d5 = sqrt(1 - (d7 - 6)^2)
Now, let us consider the region S that lies inside exactly one of the four circles. This region is bounded by the circle of radius 1 centered at C1, the circle of radius 3 centered at C3, the circle of radius 5 centered at C5, and the circle of radius 7 centered at C7. Since the circles are all tangent to line l at point A, the boundary of region S must pass through point A.
The maximum possible area of region S occurs when the boundary passes through the centers of the two largest circles, C5 and C7. To see why, imagine sliding the circle of radius 1 along line l until it is tangent to the circle of radius 3 at point B. This increases the area of region S, since it adds more points to the interior of the circle of radius 1 without removing any points from the interior of the other circles. Similarly, sliding the circle of radius 5 along line l until it is tangent to the circle of radius 7 at point C also increases the area of region S. Therefore, the boundary of region S must pass through points B and C.
Using the coordinates we obtained earlier, we can find the x-coordinates of points B and C as follows:
x_B = a - 2 - sqrt(9 - (d7 - 6)^2)
x_C = a + 6 + sqrt(9 - (d7 - 6)^2)
To maximize the area of region S, we want to maximize the distance BC. Using the distance formula, we have:
BC^2 = (x_C - x_B)^2 + (d5 - d3)^2
Substituting the expressions we derived earlier for d3 and d5, we get:
BC^2 = 32 - 2(d7 - 6)sqrt(9 - (d7 - 6)^2)
To maximize BC^2, we need to maximize the expression inside the square root. Let y = d7 - 6. Then, we want to maximize:
f(y) = 9y^2 - y^4
Taking the derivative of f(y) with respect to y and setting it equal to zero, we get:
f'(y) = 18y - 4y^3 = 0
This equation has three solutions: y = 0, y = sqrt(6)/2, and y = -sqrt(6)/2. The only solution that gives a maximum value of BC^2 is y = sqrt(6)/2, which corresponds to d7 = 6 + sqrt(6)/2.
Substituting this value of d7 into our expressions for d1, d3, and d5, we obtain:
d1 = sqrt(16 - (sqrt(6)/2)^2) = sqrt(55/2)
d3 = sqrt(4 - (sqrt(6)/2)^2) = sqrt(19/2)
d5 = sqrt(1 - (sqrt(6)/2)^2) = sqrt(5/2)
Using these values, we can compute the coordinates of points B and C as follows:
x_B = a - 2 - sqrt(9 - (sqrt(6)/2)^2) = a - 2 - sqrt(55)/2
x_C = a + 6 + sqrt(9 - (sqrt(6)/2)^2) = a + 6 + sqrt(55)/2
The distance between points B and C is then:
BC = |x_C - x_B| = 8 + sqrt(55)
Finally, the area of region S is given by:
Area(S) = Area(circle of radius 5 centered at C5) - Area(circle of radius 7 centered at C7)
= pi(5^2) - pi(7^2)
= 25pi - 49pi
= -24pi
Since the area of region S cannot be negative, the maximum possible area is zero. This means that there is no point that lies inside exactly one of the four circles. In other words, any point that lies inside one of the circles must also lie inside at least one of the other circles.
Step-by-step explanation:
kevin meal came to 45$ he tipped his sever 20% how much tip did he leave for the sever
Solve for x. Round your answer to the nearest tenth, and type it in the blank without units.
X is the adjacent side and is 50 inches long.
Right angle triangleUsing the trigonometric ratio of cosine:
cos(60 degrees) = adjacent / hypotenuse
cos(60 degrees) = 1/2 (cosine of 60 degrees is 1/2)
So, we can solve for the X, the adjacent:
adjacent = cos(60 degrees) x hypotenuse
adjacent = (1/2) x 100 inches
adjacent = 50 inches
Therefore, the length of the adjacent is 50 inches.
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Constant of proportionality for y=30x
Answer:
k = 30
Step-by-step explanation:
an equation of proportionality has the form
y = kx ← k is the constant of proportionality
y = 30x ← is in this form
with k = 30