Answer: f(t) = 2.4t - 500
Step-by-step explanation:
So first of all, we need how much she actually profits from each taco. She charges $3.25 per taco, but we cannot forget that it is not free to make a taco in the first place. It costs her $0.85 to make a taco. This means we have to subtract the 85 cents from the 3 dollars 25 cents, which means it ends up being $2.40, or as the answer choices have it, 2.4.
So now we know what the number of tacos is being multiplied by: 2.4.
2.4t is now the profit per taco multiplied by the number of tacos.
But we're not quite done yet.
She has a fixed expense of $500 a month, which means this has to be subtracted from her taco profits to find her true profit.
Putting all of this together, we get f(t)=2.4t - 500.
(t)= (profit per taco)(amount of tacos sold) - (fixed expenses)
determine weather the function is linear or quadratic. identify the quadratic, linear and constant terms.
Note that f(x) is the product of two linear terms. So it must be a quadratic function. To find the quadratic term we simply expand the product of both terms. We have that
\(f(x)=(3x+3)(5x\text{ -2\rparen}\)If we expand the product we get
\(f(x)=15x^2\text{ - 6x+15x - 6=15x}^2+9x\text{ -6}\)we note that this is of the form
\(ax^2+bx+c\)where a is the quadratic term, b is the linear term and c is the constant term. By comparison, we can see that the quadratic term is 15, the linear term is 9 and the constant term is -6. All of this criteria are met by the third option. Meaning the third option is the correct one
Eileen mows her neighbors' lawns for a fee of $12. Eileen charges an additional $2 for every square meter she mows. Which function can be used to determine how many dollars, c, Eileen will make after mowing b square meters of grass? c = 12b + 2 c = 2b + 12 c = 14b c = 24b
WILL MARK BRAINLEST
Answer:c=2b+12
Step-by-step explanation:
Answer:
its c
Step-by-step explanation:
❤Please help sweeties!❤
The ordered pair (2,5) must satisfy which criteria in order to be a solution to the system?
satisfy the first equation
satisfy the second equation
satisfy both equations
can work in any equation
Answer:
satisfy both equations
Step-by-step explanation:
which numbers chart follows the rule add 7
What is the equation of the line that passes through the point (−4,−7) and has a slope of 3/2
General equation of linear function:
\(y=mx+b\)
point (−4,−7);
\(x=-4, y=-7, \text{slope}=\dfrac{3}{2} =1,5\)
\(-7=1,5\times(-4)+b\\-7=-6+b\\b=-1\)
Ans:
\(y=\dfrac{3}{2} x-1 \:\text{or}\:y=1,5x-1\)
6x + 2x - 9 = 7
Solve the equation and simplify the answer
Answer:
x=2
Step-by-step explanation:
6x+2x-9=7
Combine like terms on each side of the equation
8x-9=7
Add 9 to each side
8x=16
Divide by 8 on each side
x=2
Simplifying
6x + -2x + -9 = 7
Reorder the terms:
-9 + 6x + -2x = 7
Combine like terms: 6x + -2x = 4x
-9 + 4x = 7
Solving
-9 + 4x = 7
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 4x = 7 + 9
Combine like terms: -9 + 9 = 0
0 + 4x = 7 + 9
4x = 7 + 9
Combine like terms: 7 + 9 = 16
4x = 16
Divide each side by '4'.
x = 4
Simplifying
x = 4
Step-by-step explanation:
the sampling distribution of a sample mean refers to multiple choice question. is the same as the distribution of the population mean. the probability distribution of all x values calculated from all possible samples of size n. the probability distribution of all standard deviation values calculated from all possible samples of size n. the probability distribution of all x values in a sample.
Option B: The probability distribution of all x values calculated from all possible samples of size n is the correct answer.
What is probability?
Probability is a fundamental concept in statistics and mathematics that helps to measure the likelihood or chance of an event occurring. It provides a way to quantify uncertain events or situations and make informed decisions based on that information. The probability of an event can range from 0 to 1, with 0 indicating impossibility and 1 representing certainty.
When dealing with a sample mean, the sampling distribution refers to the probability distribution of all possible sample means of a given sample size taken from a population.
It is a theoretical distribution that shows all possible sample means that could be obtained from the population, and is a crucial tool in statistical analysis and inference.
Therefore, the correct answer is -
Option B: the probability distribution of all x values calculated from all possible samples of size n.
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another one guyssslol
What would be a sound, simple, straightforward way to describe IQR (Interquartile range)
Answer:
IQR: is the length of the middle 50% of that interval of space
Step-by-step explanation:
In order to find IQR, subtract the third interquartile range - the first interquartile range
(↑)
If x = 4 and y = 7, evaluate the following expression:
100 – 3(3y – 4x)
Answer: 85
Step-by-step explanation:
\(100-3(3y-4x)\\\\=100-3(3 \cdot 7-4 \cdot 4)\\\\=100-3(21-16)\\\\=100-3(5)\\\\=100-15\\\\=85\)
Answer:
148
Step-by-step explanation:
use bidmas to get final solution
100-3(12-28)
100-3 × (-16)
=148
David was 3 when Marieka was born. David is 32 now, how old is Marieka?
Answer:
Marieka will be 3 years younger that David
Step-by-step explanation:
she'll be 29 years old ...
Answer:
29 is the answer
Step-by-step explanation:
because You can see that she was Just born when David was 3 so thats a 3 Year difference into both ages and its also subtraction or You can add It really doesn't matter at this point but now he's 32 so the 3 Year Difference will come in and 32 subtract 3 is 29 so marieka is 29 Years old.
Good luck! Void~
Expedition Everest, a major thrill ride at Walt Disney World, often has a demand of over 3,000 riders an hour causing long waiting times for guests wishing to ride. The attraction averages 1,800 riders an hour. The roller coaster has a design capacity of 2,050 riders an hour and an effective capacity of 1,900 riders an hour.
a. What is the efficiency of Expedition Everest?
b. What is the utilization of Expedition Everest?
c. Is the operation overcapacity or undercapacity?
a. The efficiency of Expedition Everest is approximately 87.8%.
b. The utilization of Expedition Everest is approximately 94.7%.
c. The demand is greater than the effective capacity, the operation is considered overcapacity. This means that the ride cannot accommodate all the riders who wish to ride, resulting in long waiting times for guests.
To calculate the efficiency and utilization of Expedition Everest, we need to compare the actual number of riders with the design capacity and effective capacity.
Given:
Demand = 3,000 riders/hour
Average riders = 1,800 riders/hour
Design capacity = 2,050 riders/hour
Effective capacity = 1,900 riders/hour
a. Efficiency:
Efficiency is calculated as the average riders divided by the design capacity, multiplied by 100%.
Efficiency = (Average riders / Design capacity) * 100%
= (1,800 / 2,050) * 100%
≈ 87.8%
Therefore, the efficiency of Expedition Everest is approximately 87.8%.
b. Utilization:
Utilization is calculated as the average riders divided by the effective capacity, multiplied by 100%.
Utilization = (Average riders / Effective capacity) * 100%
= (1,800 / 1,900) * 100%
≈ 94.7%
Therefore, the utilization of Expedition Everest is approximately 94.7%.
c. Capacity Analysis:
To determine if the operation is overcapacity or undercapacity, we compare the demand with the effective capacity.
Demand > Effective capacity
3,000 > 1,900
Since the demand is greater than the effective capacity, the operation is considered overcapacity. This means that the ride cannot accommodate all the riders who wish to ride, resulting in long waiting times for guests.
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If a 98% confidence interval has bounds 73 and 80, which of the following could be the bounds for a 95% confidence interval? A. 73 and 81. B. 72 and 79. C. 72 and 81. D. 74 and 79.
The bounds for a 95% confidence interval could be option (B) 72 and 79
We know that the 98% confidence interval has bounds of 73 and 80. This means that if we were to repeat the same experiment many times, we would expect that 98% of the time, the true population mean would fall within this range.
To find the bounds for a 95% confidence interval, we can use the fact that a higher confidence level corresponds to a wider interval, and a lower confidence level corresponds to a narrower interval.
Since we want a narrower interval for a 95% confidence level, we can expect the bounds to be closer to the sample mean. We can calculate the sample mean as the midpoint of the 98% confidence interval
(sample mean) = (lower bound + upper bound) / 2 = (73 + 80) / 2 = 76.5
Next, we can use the formula for a confidence interval:
(sample mean) ± (z-score) × (standard error)
where the z-score depends on the desired confidence level, and the standard error depends on the sample size and sample standard deviation. Since we don't have this information, we can assume that the sample size is large enough (i.e., greater than 30) for the central limit theorem to apply, and we can use the formula
standard error = (width of 98% CI) / (2 × z-score)
For a 98% confidence interval, the z-score is 2.33 (found using a standard normal distribution table or calculator). Plugging in the values, we get
standard error = (80 - 73) / (2 × 2.33) = 1.70
Now, we can use this standard error to calculate the bounds for a 95% confidence interval
(sample mean) ± (z-score) × (standard error) = 76.5 ± 1.96 × 1.70
Simplifying, we get
(lower bound) = 76.5 - 3.33 = 73.17
(upper bound) = 76.5 + 3.33 = 79.83
Therefore, the correct option is (B) 72 and 79
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Thirty samples of size 4 of the customer waiting time at a call center for a health insurance company resulted in an overall mean of 10.4 minutes and average range of 0.9 minutes . Compute the control limits for x and r charts.
the control limits for the x-bar chart are 9.7439 minutes (LCL) and 11.0561 minutes (UCL), and the control limits for the R chart are 0 minutes (LCL) and 2.0529 minutes (UCL).
To compute the control limits for the x-bar (mean) and R (range) charts, we'll use the following formulas:
For the x-bar chart:
Upper Control Limit (UCL) for x-bar = x-double-bar + A2 * R-bar
Lower Control Limit (LCL) for x-bar = x-double-bar - A2 * R-bar
For the R chart:
Upper Control Limit (UCL) for R = D4 * R-bar
Lower Control Limit (LCL) for R = D3 * R-bar
Where:
x-double-bar = Overall mean of the sample means
R-bar = Overall mean of the sample ranges
A2 = Constant from the control chart constants table
D4 = Constant from the control chart constants table
D3 = Constant from the control chart constants table
For sample sizes of 4, the control chart constants are as follows:
A2 = 0.729
D4 = 2.281
D3 = 0
Given the information you provided:
Overall mean (x-double-bar) = 10.4 minutes
Average range (R-bar) = 0.9 minutes
Let's calculate the control limits:
For the x-bar chart:
UCL for x-bar = 10.4 + 0.729 * 0.9
= 10.4 + 0.6561
= 11.0561 minutes
LCL for x-bar = 10.4 - 0.729 * 0.9
= 10.4 - 0.6561
= 9.7439 minutes
For the R chart:
UCL for R = 2.281 * 0.9
= 2.0529 minutes
LCL for R = 0
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15/32 × 8/15??
please answer quick
Answer:
1/4
Step-by-step explanation:
What is the percentage efficiency of a motor that does 60J of work from 240J of electrical energy?
Answer:
25% is the correct answer
Joy's Boutique historically paid the members of its staff $10. The boutique recently merged with another store, and the staff members now make 20% more. Now how much do the staff members make per hour?
Answer:
$12
Step-by-step explanation:
20% of $10 is $2
Add
$2 + $10 = $12
HELP PLS ILL MARK BRAINLIEST PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
what is the question...?
Step-by-step explanation:
Nine players on a baseball team are arranged in the batting order. What is the probability that the first two players in the lineup will be the center fielder and the shortstop, in that order?
Answer: The probability of the first player being the center fielder is 1 out of 9 because there is only one center fielder on the team.
After the center fielder is chosen, there are 8 players remaining, and the probability of the second player being the shortstop is 1 out of 8 because there is only one shortstop on the team.
To calculate the probability of both events occurring in order, we multiply the individual probabilities:
Probability = (1/9) * (1/8) = 1/72
Therefore, the probability that the first two players in the lineup will be the center fielder and the shortstop, in that order, is 1 out of 72.
HELP!! Combining like terms with rational coefficients
− 2/1 (−3y+10)
Answer:
6y−20
Step-by-step explanation:
Need help what’s the solution for b^2-14b=0
Answer:
b = 0 b = 14
Step-by-step explanation:
b^2-14b=0
Factor out a b
b(b-14) = 0
Using the zero product property
b =0 b-14=0
b = 0 b = 14
6 times 6? Will mark Brainliest!
Answer:
36
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
A 20 cm
B
Find the area of an equilateral triangle of each side 12 cm.
a)
4
*
Glidef
HELP ME DO THIS PLEASE IM STRESSING OUT
Answer:
36
Step-by-step explanation:
ik it bc im smart
Solve the systems of equations by graphing
y= x^2-2x-8
y=2x-3
Answer:
(-1,-5)
Step-by-step explanation:
Factor the quadratic inequality to find the x-intercept points.
y >= x ^ 2 - 2x - 3
Answer:
x = 3
x = -1
Step-by-step explanation:
First you wanna assume that y is 0: 0 \(\geq\) \(x^{2}\) - 2x - 3
now factor the right side like any other problem:
we know that we automatically have (x _ ?)(x_?), because there is an x squared
now we need to find a number that multiplies to -3 and adds up to -2
if take positive 1 and -3, we multiply it to get -3, and when you add the two numbers, you get -2
so now we can fill (x _ ?)(x_?), and turn it into (x - 3)(x + 1)
now we will take each parenthesis part and separate it and solve them for x individually:
(x - 3) = 0
x = 3
(x + 1) = 0
x = -1
so now we have our x intercepts
Solve the following inequality. Graph the solution.
8a-30> 66
What is the solution? Select the correct choice below and fill in the answer box within your choice.
(Type an integer or a decimal.)
A. az
B. as
OC. a>
D. a<
The solution to the given Inequality is a > 12 and the graph is as attached.
What is the Solution to the Inequality?
We are given the Inequality as;
8a - 30 > 66
Now, use addition property of equality to add 30 to both sides to get;
8a - 30 + 30 > 66 + 30
8a > 96
Now, use division property of equality to divide both sides by 8 to get;
8a/8 > 96/8
a > 12
The graph of this is as attached.
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A cylindrical drum is 20m tall and has the inner diameter of 30m. How many liters of water can be stored in it ?
Answer:
14137167 liters approximately
Step-by-step explanation:
Total Volume of a cylinder
V = π R² H
where R - base radius
H = height
Given diameter of base = 30m, base radius R = 30/2 = 15
H = 20m
Volume = π x 15² x 20 = 4500π m³ = 14,137.16694 m³
Since 1 m³ = 1000 liters
this works out to 14137.16694 x 1000 ≈ 14137167 liters
10. Find the value of x.
(5x+12)°
O 10
015
20
025
(3x+8)
(25 points)
Answer:
(c) 20
Step-by-step explanation:
You want to find x, given that the external angle adjacent to a base angle of an isosceles triangle is (5x +12)°, and the other base angle is marked (3x +8)°.
Base anglesThe base angles of an isosceles triangle are congruent, so the other base angle is congruent to the marked base angle.
The external angle and the adjacent base angle are a linear pair, hence supplementary.
(5x +12)° +(3x +8)° = 180°
8x +20 = 180 . . . . . . . divide by °, collect terms
8x = 160 . . . . . . subtract 20
x = 20 . . . . . divide by 8
WILL GIVE BRAINLIEST!!! PLS HELP!!!
Answer:
sorry guys real sorry i dont know it zoom it more
Step-by-step explanation: