Step-by-step explanation:
Y= 3x + b
As, to know the total, which is y, we need to solve for the cost
So first for money per square foot = $3
For square foot = x
So, price for x square foot = $3x (here this is the value of m)
Now, for value b,
$100 is added to the cost as its the charge, as the flat fee
So the value of b = $100
So, y=3x+100
Amir operates a large lobster boat. The operating cost for the boat is $2.250 each day. At the end of each day, he sells all his freshly caught lobster to either the local restaurant or the local grocery store with the following conditions: • The price per pound that the restaurant is willing to pay follows a triangular distribution with minimum value $1.50, maximum value $5.50, and likeliest value $3.50. • The price per pound that the grocery store is willing to pay is decreasing with more lobsters: $3.85 - 50.0005 * y, where y is the total lobster amount sold in pounds. • The amount of lobster that Amir catches in a single day follows a normal distribution with mean 1,500 pounds and standard deviation sqrt(12,500) pounds. • Amir decides to sell a fixed percentage of lobster to the local restaurant and the rest to local grocery stores. Using either math or simulation, can you help Amir determine what percentage he should choose in order to maximize his expected profit in the long run?
To optimize his long-term predicted profit percentage, he should select 20.567%.
What are an example and a percentage?Both decimal and fractional forms of the expression are acceptable.
Given, The boat's daily running expense is $2,250.
$1.50 is the minimal amount.
a maximum of $5.50
Most likely value is $3.50. Now, each day's conclusion.
More lobsters mean a lower price per pound which the grocery shop will accept ($3.85 - $0.0005). × y,
Amir's daily haul of lobster has a normally distributed with a mean of 1,500 pounds and a standard deviation of 12,500 pounds.
He should therefore select 20.567% to increase his anticipated profit in the long run.
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Point A is at (-2,4) and point B is at (7,3). What is the midpoint of line segment AB
Answer:
(2.5,3.5)
Step-by-step explanation:
Answer:
(2.5, 3.5)
Step-by-step explanation:
i need help with this
Two independent variables that can affect the cost of the supplies are:
x = number of pencils bought.y = number of notebooks bought.What is an independent variable?An independent variable is a variable that can change freely.
For example in the given situation, we could define the independent variables:
x = number of pencils bought.y = number of notebooks bought.Notice that these variables are independent because these don't depend on each other.
Then if each pencil costs A, and each notebook costs B, the cost function will be:
C(x, y) = A*x + B*y
So there you have two independent variables that affect the cost of the supplies.
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Suppose triangle ABC is a right triangle. Side AB is 3 feet and side BC is 4 feet. Find the length of the hypotenuse, AC. Remember Pythagorean Theorem.
A. 25 feet
B. 5 feet
C. 16 feet
D. 4 feet
E. 9 feet
F. 3 feet
Answer:
5
Step-by-step explanation:
3 squared + 4 squared = c squared
3 squared= 9 4 squared= 16
9+16=c squared
25=c squared
5= c
can you tell me what is 274699÷47682
Answer:
5.76106287
Step-by-step explanation:
Answer: 5.76106287488
Step-by-step explanation:
helpppppppppppp meeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
oop-cheating on a testtt. '-'
Ile give u a hint.
It says "Determine how many miles she swam."
And we already know how many kilometers she swam and how much a mile is. So what operation do we need to get from Kilometers to miles?
You got this!
Hope this helps :)
Still confused Ile try to help.
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1. You are to design a survey to determine the mean family income in a rural area of Florida. How many families should you survey if you expect a standard deviation of $5,000 and the margin of error to be within $1,000
You should survey at least 97 families in order to estimate the mean family income in the rural area of Florida with a margin of error of $1,000 and an expected standard deviation of $5,000, assuming a 95% confidence level.
To determine the sample size required for the survey, we need to consider the desired margin of error, the expected standard deviation, and the desired level of confidence. In this case, you mentioned that the margin of error should be within $1,000 and the expected standard deviation is $5,000. However, you didn't mention the desired level of confidence.
Typically, a 95% confidence level is used, which means we want to be 95% confident that the true mean family income falls within the margin of error. Based on this assumption, we can calculate the required sample size using the following formula:
n = (Z^2 * σ^2) / E^2
n = required sample size
Z = Z-score corresponding to the desired confidence level
σ = standard deviation
E = margin of error
For a 95% confidence level, the Z-score is approximately 1.96 (assuming a normal distribution).
Substituting the values into the formula, we get:
n = (1.96^2 * 5000^2) / 1000^2
n ≈ (3.8416 * 25,000,000) / 1,000,000
n ≈ 96,040,000 / 1,000,000
n ≈ 96.04
Since you cannot have a fraction of a family, you would need to round up the sample size to the nearest whole number. Therefore, you should survey at least 97 families and an expected standard deviation of $5,000, assuming a 95% confidence level.
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Help me please help please
Answer:
5
Step-by-step explanation:
50 by divded 5 is 10 90 divided by 5 is 18 and 110 divded by 5 is 22 hope this helps!
Los alumnos de 6 grado obtuvieron las siguientes calificaciones en sus exámenes de matemáticas, encuentra la Media, moda y mediana de sus calificaciones. 8.0, 8.0, 7.0, 9.0, 9.0, 8.0, 9.0, 10.0, 8.0, 9.0, 9.0, 10.0, 9.0, 9.0, 9.0.
Answer:
Media = 8.73
Moda = 9.0
Mediana = 9.0
Step-by-step explanation:
En este caso, vamos a repasar primero el concepto de cada uno:
Media: Se refiere a un promedio numérico de varios datos en una medida. Se calcula como la sumatoria de todos los valores numéricos dividido entre la cantidad de valores existentes,
Moda: Se refiere al valor numérico que mas se repite en una secuencia numérica.
Mediana: Se refiere al número, o números, que se encuentran justo en la mitad de una secuencia numérica ordenada de menor a mayor o de mayor a menor.
Tomando en cuenta estos conceptos, determinemos cada uno de ellos. Son 15 calificaciones. Si las ordenamos todas de menor a mayor tenemos:
7.0, 8.0, 8.0, 8.0, 8.0, 9.0, 9.0, 9.0, 9.0, 9.0, 9.0, 9.0, 9.0, 10.0, 10.0
Para la media:
Media = 7 + (8+8+8+8) + (9+9+9+9+9+9+9+9) + (10+10) / 15
Media = 8.73Para la moda:
Como se puede observar, la calificación 9.0 se repitió 8 veces por lo tanto
Moda = 9.0Para la mediana:
Al observar los datos ordenados de mayor a menor, nos damos cuenta que la calificación 9.0 se encuentra en la mitad de esos datos, asi que
Mediana = 9.0Espero te ayude.
what should be added to {1/-2 - 3/4 of -8/15} so that the sum is the product of -7/50 and 1 1/14 *for grade 7*
The value that is added on the left-hand side to make the equation equal is -1/100.
What are Mathematical operators?In mathematics, an expression is a group of numbers and operations. The components of a mathematical expression that perform an operation are as follows: multiplication, division, addition, and subtraction.
Given [1/-2 - 3/4 of -8/15],
to add a number so the sum equals the product of -7/50 and 11/14
let the number be x
according to the question,
[1/-2 - 3/4 of -8/15] + x = -7/50*11/14
taking LHS
[1/-2 - 3/4 of -8/15] = -1/2 - (3(-8)/60)
[1/-2 - 3/4 of -8/15] = -1/2 + 24/60
[1/-2 - 3/4 of -8/15] = (-30 + 24)/60
[1/-2 - 3/4 of -8/15] =-6/60 = -1/10
RHS
-7/50*11/14 = -77/700 = -11/100
substitute the values
[1/-2 - 3/4 of -8/15] + x = -7/50*11/14
-1/10 + x = -11/100
x = -11/100 + 1/10
x = (-11 + 10)/100
x = -1/100
Hence -1/100 is added to make the equation equal.
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The scale of a map is 1 cm : 75 km. What is the actual distance between two towns that are 1cm apart on the map?
Answer:
75km
Step-by-step explanation:
What is the greatest common factor of 47 and 87
Answer:
1
Step-by-step explanation:
The factors of 87 are 87, 29, 3, 1.
The factors of 47 are 47, 1.
The common factors of 87 and 47 are 1, intersecting the two sets above.
In the intersection factors of 87 ∩ factors of 47 the greatest element is (1).
Calculate the fee charger for R2500 withdrawal from town Bank
The fee charged for the R 2, 500 withdrawal from TownBank would be R 33. 30.
How to find the fee charged ?To find the total fee charged to withdraw the sum of R 2, 500 from TownBank, the formula is :
= 3. 30 + R 1, 20 per R 100
The amount withdrawn was R 2, 500 so the total fee charged would be :
= 3. 30 + 1, 20 x ( 2, 500 / 100 )
= 3. 30 + 1. 20 x 25
= 3. 30 + 30
= 33. 30
= R 33. 30
In conclusion, the total fee charged was R 33. 30.
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First part of the question :
The TownBank current account charges R3,30 plus R1,20 per R100 or part thereof for a cash withdrawal from a TownBank ATM. The first five withdrawals in a month are free. Determine the bank charges for a withdrawal of:
when x does not have full rank, let's see why px =
When x does not have full rank, it means that the columns of x are not linearly independent. This means that there exists a non-zero vector b such that xb = 0. Let's see why px = x when this is the case.
First, let's recall what the projection matrix p is. The projection matrix p is defined as p = x(xTx)-1xT. This matrix projects any vector onto the column space of x.
Now, let's see what happens when we multiply px:
px = x(xTx)-1xTx
Since xTx is a scalar, we can write this as:
px = x(xTx)-1(xTx)
px = x
So we can see that px = x when x does not have full rank. This is because the projection matrix p projects any vector onto the column space of x, and when x does not have full rank, the column space of x is the same as the column space of px.
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HELP ASAP
Triangle abc has vertices at a (2,2), b (2,7), and c (6,3). this triangle is dilated using the rule (x,y) (3x,3y). what is the coordinate of c'?
A= C' (2,1)
B= C' (6,6)
C= C' (6,21)
D= C' (18,9)
John has a rectangular-shaped field whose length is 62.5 yards and width is 45.3 yards.
The area of John's field is 2831.25 square yards.
John has a rectangular-shaped field with a length of 62.5 yards and a width of 45.3 yards. To find the area of a rectangle, you multiply the length by the width. Therefore, the area of John's field is 62.5 yards x 45.3 yards = 2831.25 square yards.
In 150 words, John's rectangular field has an area of 2831.25 square yards. To calculate the area of a rectangle, you multiply the length by the width.
Given that the length is 62.5 yards and the width is 45.3 yards, the formula for the area is length x width. Substituting the values, the calculation is 62.5 yards x 45.3 yards = 2831.25 square yards.
Thus, the area of John's field is 2831.25 square yards.
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A textile production facility produces curtains which are sold in home design stores in their area. Their gross sales in hundreds of dollars, S, is dependent on the number of curtains they produce, x, and can be modeled by the functionS(x)=−20+2.5x.Draw the graph of the gross sales function by plotting its S-intercept and another point.
Plot the points (0, -20) and (10, 5) on a graph, and draw a line connecting them to represent the gross sales function S(x) = -20 + 2.5x.
To draw the graph of the gross sales function S(x) = -20 + 2.5x, we need to plot two points: the S-intercept and another point.
First, let's find the S-intercept. The S-intercept is the value of S when x = 0. Substituting x = 0 into the function, we get:
S(0) = -20 + 2.5(0) = -20
So the S-intercept is -20, which means that when the production facility produces 0 curtains, they will not make any sales.
Now, let's find another point. We can choose any value of x and calculate the corresponding value of S. Let's choose x = 8 (you can choose any other value if you prefer). Substituting x = 8 into the function, we get:
S(8) = -20 + 2.5(8) = 0
So when the production facility produces 8 curtains, their gross sales will be $0. This means that the break-even point is at x = 8, where the revenue from selling the curtains covers the production costs.
To plot the graph, we can use these two points: the S-intercept (-20, 0) and the point (8, 0). The graph should look like this:
```
|
|
|
| *
| *
| *
|*_______
0 8 x-axis
S-axis
```
The x-axis represents the number of curtains produced, and the S-axis represents the gross sales in hundreds of dollars. The graph shows that the gross sales function is a linear function that increases as the number of curtains produced increases. The break-even point is at x = 8, and after that, the production facility starts making a profit.
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4T + 2(2T - 4) = 7T + 3(9 + 2) + 1T
given the following situation, determine if the data is rank data. a publix manager wants to measure the difference in the total value sales on a saturday vs. a monday. he randomly selects sales data from 20 saturdays and 20 mondays from the previous year and he analyzes his data. is this rank data? group of answer choices not rank data rank data
which of these is NOT continuous data:
A. number of days it rains in a year
B. height of the grass in a nature preserve each year
C. amount of rainfall in a year
D. level of water in a rain barrel
Answer:
A. number of days it rains in a year
Step-by-step explanation:
A. number of days it rains in a year - discrete
B. height of the grass in a nature preserve each year-continuous
C. amount of rainfall in a year-continuous
D. level of water in a rain barrel-continuous
The number of days can only be an integer and therefore is discrete data
Find the measure of each numbered angle
<3
<4
<5
The measure of angle 3, 4 and 5 from the given figure are 36°, 72° and 72° respectively.
From the given figure,
50°+65°+x=180° (By angle sum of property of a triangle)
115°+x=180°
x=180°-115°
x=65°
∠2=65° (Vertically opposite angles)
140°+y=180° (Sum of adjacent angles is 180°)
y=40°
Now, 40°+68°+∠5=180°
108°+∠5=180°
∠5=180°-108°
∠5=72°
∠4=∠5=72° (Vertically opposite angles)
∠3+∠4+∠5=180°
∠3+72°+72°=180°
∠3+144°=180°
∠3=36°
Therefore, the measure of angle 3, 4 and 5 from the given figure are 36°, 72° and 72° respectively.
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Verify that the given values of x solve the corresponding polynomial equations: a) 6x^2−x^3=12+5x;x=4 b) 9x2−4x=2x3+15;x=3
a) \(6x^2−x^3=12+5x;x=4\) For verifying that the given values of x solve the corresponding polynomial equations, we have to substitute the given values of x in the equation. x = 3 does not solve the equation.Hence, both the given values of x do not solve the corresponding polynomial equations.
If we get true equations, it means the given values of x solve the corresponding polynomial equations. Now, we will put the value of x in the equationa)\(6x^2−x^3=12+5xPut x = 46(4)^2 - (4)^3 = 12 + 5(4)64 - 64 ≠ 32\)
Thus, x = 4 does not solve the equationb)
\(9x^2 − 4x = 2x^3 + 15; x = 3Put x = 39(3)^2 - 4(3) = 2(3)^3 + 153(27) - 12 ≠ 45\)
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On Monday Alina rode 5 miles on a bike on Tuesday she rode 10 miles on Wednesday she would three times farther than she did Monday and Tuesday combined how many miles has Alina written so far this week
the answer is 60
Step-by-step explanation:
10+5=15 x 3 45+ 15 =60
A box measures 3 1/2 ft by 1 1/3 ft by 2 1/4 ft. What is the volume of the box?
Answer:
V = 10.5 ft³
Step-by-step explanation:
Volume formula: length x width x height
We are given all 3, so all we have to do is multiply them all together, When we plug it into the calc, we should get 21/2 or 10.5 ft³ as our answer.
A merchant increases the wholesale cost of a Maytag washing machine by 35% to determine the selling price. If the washer sells for $571.05, find the wholesale cost.
The wholesale cost $423
The merchant increases the wholesale cost by 35%
The washer sells it for $571.05
The wholesale cost can be calculated as follows
y + 35/100= 571.05
y + 0.35= 571.05
1.35y= 571.05
y= 571.05/1.35
y= 423
Hence the wholesale cost is $423
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PLSZSZ HELPPPP
The daily low temperatures
for Fairbanks, Alaska are
shown in the table. What
was the mean low
temperature for Fairbanks,
Alaska for January 1st-4th?
Answer: -16
Step-by-step explanation: The answer is -16 because you are looking for the median and you sort it out first:
-16.3, -16.1, -15.9, -15.7 cross them out and you should have -16.1 and -15.9 remaining. Add them (-32) then divide by 2. Then you should get -16. You’re welcome.
Find the Value of X given the following
Answer:
10
Step-by-step explanation:
2(x+9)+142=180 corresponding angles are equal and angles on a straight line=180
2(x+9)=180-142
x+9=38/2
x=19-9
x=10
if he rolls a non-4 on the first throw, the player is paid $5. the player is paid $10 if he rolls a 4 followed by a non-4; $20 if he rolls two 4s followed by a non-4; $30 if he rolls three 4s followed by a non-4; and $50 in all other cases. what is the expected amount paid to the player?
$7.50
The expected amount paid to the player is $7.50. This is calculated by taking the probability of each outcome multiplied by the amount paid for that outcome, and then summing them all together. The probabilities are as follows:
The expected amount paid is therefore: (0.75 x $5) + (0.0625 x $10) + (0.0039 x $20) + (0.0001 x $30) + (0.00001 x $50) = $7.50
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an american author, anthropologist, and filmmaker who portrayed racial struggles in the early 1900 american south and published research on hoodoo. one of her most popular novels entitled their eyes were watching god was published in 1937. she also wrote more than 50 short stories, plays, and essays. who is she?
The person who is an american author, anthropologist, and filmmaker who portrayed racial struggles in the early 1900 american south and published research on hoodoo is Zora Neale Hurston.
She is known for portraying racial struggles in the early 1900s American South and published research on hoodoo. Her most popular novel, "Their Eyes Were Watching God," was published in 1937. She also wrote over 50 short stories, plays, and essays.
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40x + 120 = 20x + 180
Answer: x = 3
Steps: 40x + 120 = 20x + 180
Subtract 120 from both sides: 40x + 120 - 120 = 20x + 180 - 120
Simplify: 40x = 20x + 60
Subtract 20x from both sides: 40x - 20x = 20x + 60 - 20x
Simplify: 20x = 60
Divide both sides by 20: 20x ÷ 20 = 60 ÷ 20
Simplify: x = 3
Plz mark brainliest:)
Answer:
is x=3
Step-by-step explanation: