Answer:
2.25 per pound
Step-by-step explanation:
i took 8.10 divided by 3.6 to get the price per pound
(brainllist plz)) (if helped)
If 18% of a $3,200.80 monthly net income is allotted for clothing, how much money is allotted for clothing in one year?
Answer:
Step-by-step explanation:
18% of $3200.80 = $576.144.
$576.144 is for one month. So, for a year is 12 * $576.144 = $6913.728.
The length of AB is 9 centimeters. A dilation with a scale factor of 2 is applied to AB. What is the length of the image AB after the dilation is applied?
Answer:
18cm
Step-by-step explanation:
Given:
- The length of AB is 9 centimeters
- A dilation with a scale factor of 2
The length of the image AB after the dilation is applied:
9 x 2 = 18
dilation is used to make an image or in this case AB, with a scale factor of 2 means that its doubling in size. If the scale factor was 1/2 that it would be decreasing in size since it will be half of the original size
Kathy has a piece of cloth she used 1/7 of the cloth to make a pillowcase and 1/4 of the cloth to make a tablecloth how much of the cloth did Kathy have
Step-by-step explanation:
she used 1/4+1/7 of the cloth
lcm of 1/4 and 1/7 is 28
1/4 becomes 7/28
1/7 becomes 4/28
7+4/28 = 11/28
therefore, she used 11/28 of the cloth and now has 17/28 of the cloth left
hope that helped
In a certain section of Southern California, the distribution of monthly rent for a one-bedroom apartment has a mean of $2,275 and a standard deviation of $290. The distribution of the monthly rent does not follow the normal distribution. In fact, it is positively skewed. What is the probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month
Answer:
100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of $2,275 and a standard deviation of $290.
This means that \(\mu = 2275, \sigma = 290\)
Sample of 65:
This means that \(n = 65, s = \frac{290}{\sqrt{65}}\)
Finding the mean to be at least $2,095 per month
This is 1 subtracted by the p-value of Z when X = 2095. So
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{2095 - 2275}{\frac{290}{\sqrt{65}}}\)
\(Z = -5\)
\(Z = -5\) has a p-value of 0.
1 - 0 = 1
100% probability of selecting a sample of 65 one-bedroom apartments and finding the mean to be at least $2,095 per month
{x|x + 1 ≥ 3 and x − 6 ≤ −1}
Write the solution using interval notation
A national diet company markets a special diet plan which requires dieters to use frozen meals prepared by the company. The company advertises that those who follow their plan for 10 weeks will lose, on the average, at least 10 lbs. A consumer group is suspicious of this claim, believing that the weight lose is, on average, much less. If m represents the mean weight loss the population of all American adults would experience after 10 weeks on the plan, what is the appropriate alternative hypothesis that the consumer group wishes to test?a. Ha: mu < 10 b. Ha: mu > 10 c. Ha: mu (notequal)10 d. Ha: mu (notequal) 0
Ha:mu<10 is the appropriate alternative hypothesis that the consumer group wishes to test .
How would you define hypothesis?
An assumption or notion is called a hypothesis when it is put forth with the purpose of debating whether it might be true.
In the scientific process, the hypothesis is developed prior to the completion of any relevant study, other than a brief background review.
Ha:mu<10
Because A consumer group is suspicious of this claim, believing that the weight lose is, on average, much less.
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Solve the word problem. Complete Steps 1-2 in order.
The area of Bernie's porch can be represented by (x²-17x+60) ft².
1. Step 1: Find the dimensions of
the porch.
O (x-30) by (x+2) ft
O (x-5) by (x-12) ft
O (x+20) by (x-3) ft
O (x-20) by (x-3) ft
2. Step 1: Find the perimeter of
the room.
O(4x-34) ft
O (4x-56) ft
O (4x+34) ft
O (4x-46) ft
You visit the tallest building in a city and drop a penny off the edge of the observation deck. The distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and then it will continue falling at the same rate. How many feet will the penny fall during the 8th second?
384 feet
272 feet
256 feet
240 feet
PLEASE HELP ME ITS ALGEBRA THANK YOUUUU
Answer:
2924
Step-by-step explanation:
2752 ÷ 16 = 172 ← number of points per coin
After collecting 17 points he will have collected
2752 + 172 = 2924 points in total
Answer:
2924
Step-by-step explanation:
Please don't include attachments I'm unable to view them
The solution of the equation which is a vertex, from plot of the equation is
(-1.6, 0.7)What is a vertex?In mathematics, a vertex (plural: vertices) is a point where two or more lines, curves, or edges meet. The term is commonly used in geometry, graph theory, and other areas of mathematics.
In geometry, a vertex is a point where two or more edges of a polygon or a polyhedron meet. For example, a triangle has three vertices, while a cube has eight vertices.
The graph is attached and other vertices shown
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A sample is taken from all teen drivers at a high school. They are given a
survey that includes the question, "Do you ever engage in the illegal activity of
texting while driving?" What is this an example of?
OA. Nonselection bias
OB. Nonresponse bias
C. Selection bias
OD. Response bias
The given scenario, where a sample of teen drivers at a high school is surveyed about their engagement in the illegal activity of texting while driving, is an example of Selection bias. Option C
How to determine what type of exampleSelection bias occurs when the process of selecting participants for a study or survey is not random or representative of the entire population.
In this case, the sample consists only of teen drivers at a high school, which may not accurately represent all teen drivers in the broader population. The sample is limited to a specific group, which can introduce bias and affect the generalizability of the results to the wider population of teen drivers.
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8 1/16-5 1/2 I need help with this.pls
Step-by-step explanation:
I hope this helps. Ans:41/16 alternate form: 2 9/16, 2.5625
The midpoint of AB is M (-1, -5). If the coordinates of A are (3, -8), what are the coordinates of B?
Answer:
coordinates of point B are (-5, -2)
Step-by-step explanation:
Recall that the midpoint of the segment that joins (x1, y1) with (x2, y2) is given by:
( (x1 + x2)/2 , (y1+y2)/2)
Therefore, given the information about the midpoint being (-1, -5) and A being (3, -8) we get:
For the x value (x2) of point B:
-1 = (3 + x2) / 2 then -2 = 3 + x2 and finally solving for x2; x2 = -2 - 3 = -5
For the y value (y2) of point B:
- 5 = (-8 + y2) / 2 then -10 = - 8 + y2 and finally y2 = -10 + 8 = - 2
Then point B has the coordinates: (-5, -2)
caculate ( 5 + 0.036 + 0.4 ) - 0.08 = ?
ASAP I WILL GIVE BRAINLIEST
Answer:
5.356
Step-by-step explanation:
You add everything in parentheses then subtract that by 0.08.
Given a and b are first quadrant angles, sin a=5/13 and cos b=3/5 evaluate tan(a-b)1) 33/562) -33/563) -21/56
The angles given are
\(\sin a=\frac{5}{13},\cos b=\frac{3}{5}\)Determine the value of cos a
\(\cos a=\sqrt[]{1-\frac{25}{169}}=\frac{12}{13}\)Determine the value of sin b
\(\sin b=\sqrt[]{1-\frac{9}{25}}=\frac{4}{5}\)The value of tan a is
\(\tan \text{ a=}\frac{\frac{5}{13}}{\frac{12}{13}}=\frac{5}{13}\times\frac{13}{12}=\frac{5}{12}\)The value of tan b is
\(\tan b=\frac{\frac{4}{5}}{\frac{3}{5}}=\frac{4}{3}\)The value of tan(a-b) is
\(\tan (a-b)=\frac{\tan a-tanb}{1+\tan a\tan b}\)\(\tan (a-b)=\frac{\frac{5}{12}-\frac{4}{3}}{1+\frac{5}{12}\times\frac{4}{3}}=\frac{\frac{5-16}{12}}{1+\frac{5}{9}}=\frac{\frac{-11}{12}}{\frac{14}{9}}=-\frac{11}{12}\times\frac{9}{14}=-\frac{11}{4}\times\frac{3}{14}=-\frac{33}{56}\)\(\tan (a-b)=-\frac{33}{56}\)Hence the correct option is 2.
Brianna can use the equation y = 5x to calculate her pay, where y represents the amount of pay, and x represents the number of hours worked.
How many hours did Brianna work if she was paid $63.50?
y = 5x
63.5 = 5x
x = 12.7 hours
The number of hours did Brianna work, if she was paid amount $63.50 as salary, is 12.7 hours.
What is an unknown variable?Unknown variables are used to find the unknown values of the problem using the algebraic expressions.
To find the values of unknown quantity, the statements of a problem is converted in the algebraic equation using the variable in place of unknown numbers.
Brianna uses the equation to calculate here pay is,
\(y = 5x\)
Here y represents the amount of pay, and x represents the number of hours worked.
The number of hours did Brianna work if she was paid $63.50 has to be find out.
As the total amount, Brianna get is $63.50 and this is represented by the variable y in the above equation.
Thus, put the value of y in the above equation to find the value of number of hours as,
\(63.50= 5x\\x=\dfrac{63.50}{5}\\x=12.7\)
Hence, the number of hours did Brianna work, if she was paid amount $63.50 as salary is 12.7 hours.
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Find the value of y.
The value of y is 4√3
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.
Also , the ratio of corresponding sides of similar triangles are equal.
There are two triangles that are similar
Therefore;
y /16 = 4/y
y² = 48
y = √48
y = √16 × √ 3
y = 4√3
Therefore, the value of y is 4√3
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in the illustration below ,The two lights are designed tc pperate at 6 volts, 5 amps each,
5
f the power source is12 volts, what will be the value of the Resistor?
Round to the tenth position. (0.00)
The value of the resistor needed in this scenario is approximately 1.2 ohms.
To find the value of the resistor in the given scenario, we can apply Ohm's Law, which states that the current (I) flowing through a resistor is directly proportional to the voltage (V) across it, and inversely proportional to the resistance (R) of the resistor.
Using Ohm's Law, we have the formula:
V = I * R
Where:
V is the voltage across the resistor (12 volts in this case),
I is the current flowing through the resistor (5 amps for each light, so a total of 10 amps),
R is the resistance of the resistor (which we need to find).
Rearranging the formula, we have:
R = V / I
Plugging in the values:
R = 12 volts / 10 amps
R = 1.2 ohms
Therefore, the value of the resistor needed in this scenario is approximately 1.2 ohms.
It's worth noting that this calculation assumes the lights are connected in parallel, as the current remains the same for each light. If the lights were connected in series, the total resistance would be the sum of the individual resistances, and the calculation would be different.
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compete the two column proof
Answer:
i cant read half the stuff on the paper
bye
Determine all minors and cofactors of the matrix A given below (5)
2 −1 1 3
0 1 1 3
2 1 1 0
2 0 −1 −2
the answer to this question
Answer:
3
Step-by-step explanation:
After running a 100 meter dash, Jane turns left 40 degrees and walks 60 meter. True or false: she is closer now to her starting position than when she crossed the finish line. What about if Jane turns left 90 degrees or 120 degrees?
False. When Jane turns left 40 degrees and walks 60 meters, she is farther away from her starting position than when she crossed the finish line.
If Jane turns left 90 degrees or 120 degrees, then she will also be farther away from her starting position than when she crossed the finish line. Turning left 90 degrees or 120 degrees will take her in a different direction, and thus she will be farther away from her starting position than when she crossed the finish line.
Therefore, the given statement is false.
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Devon’s bike has wheels that are 26 inches in diameter. After the front wheel picks up
a tack, Devon rolls another 100 feet (1200 inches) and stops. How far above the ground in inches is the tack?
To find the distance above the ground at which the tack is, we need to calculate the vertical displacement of the front wheel when the tack was picked up.
First, let's determine the circumference of the front wheel. The circumference of a circle is given by the formula C = πd, where C is the circumference and d is the diameter. Given that the diameter is 26 inches, we can calculate the circumference:
C = π × 26
C ≈ 81.64 inches
This means that for every complete revolution of the wheel, Devon travels a distance of approximately 81.64 inches.
Next, we need to determine how many complete revolutions the front wheel made as Devon rolled another 100 feet (1200 inches). Since the circumference of the wheel is 81.64 inches, we can divide 1200 inches by 81.64 inches to find the number of revolutions:
1200 / 81.64 ≈ 14.68 revolutions
Now, we know that the tack was picked up after one full revolution. Therefore, out of the 14.68 revolutions, 13 complete revolutions have occurred. The tack is located at the point where the 14th revolution starts.
Since each revolution covers a distance equal to the circumference of the wheel, the vertical displacement of the tack is the height of the wheel, which is the radius of the wheel. The radius is half the diameter, so in this case, it is 26 / 2 = 13 inches.
Therefore, the tack is located 13 inches above the ground.
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A calf raiser mixes a batch of milk replacer for 15 calves. Each calf gets two
quarts of milk replacer. If the calf raiser uses 960 oz. of replacer and needs to
add 34 as much water as milk replacer, how many ounces of water does she need?
Answer:
The calf raiser uses 960 oz of milk replacer for 15 calves, so each calf gets 960 oz / 15 = 64 oz of milk replacer.
To convert this to quarts, we need to divide by 32 (since there are 32 oz in a quart)
64 oz / 32 oz/quart = 2 quarts
Each calf gets 2 quarts of milk replacer and the calf raiser needs to add 34 as much water as milk replacer
So the total amount of water she needs is 2*34 = 68 quarts
To convert the quarts of water to ounces we need to multiply by 32 (since there are 32 oz in a quart)
68 quarts * 32 oz/quart = 2176 oz of water.
So the calf raiser needs 2176 ounces of water to mix with the milk replacer for 15 calves.
Find the sum of the following finite geometric series.
The sum of the geometric sequence in this problem is given as follows:
5.77.
What is a geometric sequence?A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.
The first term, the common ratio and the number of terms for this problem are given as follows:
\(a_1 = 10, q = -\frac{2}{3}, k = 8\)
The formula for the sum of the first n terms is given as follows:
\(S_n = a_1\frac{1 - r^n}{1 - r}\)
Hence the sum for this problem is given as follows:
\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)
\(S_8 = 5.77\)
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3. You get three summer jobs to help you save for college expenses. In your job as a cashier,
you work 20 hours per week and earn $9.50 per hour. Your second and third jobs are at a local
hospital. There, you earn $9.00 per hour as a payroll clerk and $7.00 per hour as an aide. You
always work 10 hours less per week as an aide than you do as a payroll clerk. Your total weekly
salary depends on the number of hours you work at each job.
a. Determine the input and output variables for this situation.
b. Explain how you calculate the total amount earned each week.
c. If x represents the number of hours you work as a payroll clerk, represent the number of
hours you work as an aide in terms of x.
d. Write an equation that describes the total amount you earn each week. Use x to represent
the input variable and y to represent the output variable. Simplify the expression as much
as possible.
e. If you work 12 hours as a payroll clerk, how much will you make in one week?
f. What are the practical replacement values for x? Would 8 hours at your payroll job be a
realistic replacement value? What about 50 hours?
g. When you don't work as an aide, what is your total weekly salary?
Please help!
Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.
What is a Variable?A variable is anything that may be altered in the context of a mathematical notion or experiment. Variables are frequently denoted by a single symbol. .
a. Input variables: hours worked as a cashier, payroll clerk, and assistant.
The total amount earned each week is the output variable.
b. To determine the weekly total, multiply the number of hours worked at each job by the hourly rate and put them together. As a result, the equation would be:
Total weekly wage = (hours worked as a cashier x cashier hourly rate) + (hours worked as a payroll clerk x payroll clerk hourly rate) + (hours worked as an aide x rate per hour as an aide)
c. The amount of hours worked as an assistant is always 10 hours fewer than that of a payroll clerk. Therefore, if x denotes the number of hours worked as a payroll clerk, then the number of hours worked as an assistant may be denoted as (x - 10).
d. The equation describing the total money earned each week is as follows:
(20 x 9.5) + (x x 9) + ((x - 10) x 7) = y
This expression is simplified as follows:
y = 190 + 9x - 70 + 7x
y = 16x + 120
Hence the output variable (total weekly earnings) is a function of the input variable (number of hours worked as a payroll clerk) and may be expressed by the equation y = 16x + 120.
f. The realistic replacement values for x would be determined by the maximum number of hours you may work at each job as well as the amount of time available to work. Working 8 hours as a payroll clerk may be a reasonable substitute value if you have restricted availability, but 50 hours is unlikely.
g. If you do not work as an aide, you may calculate your total weekly income by setting the number of hours worked as an aide to zero in the calculation for the total amount earned each week. This results in:
y = 16x + 120 + 0
y = 16x + 120
As a result, the total weekly wage would be determined only by the number of hours performed as a cashier and payroll clerk.
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2/5 of employees in a company drive to work, 1/3 travel by bus and the rest walk. 1. Find the fraction of who walk.
Answer:
4/15
Step-by-step explanation:
2/5 drive
1/3 bus
and rest walk
fraction of those who walk is 1-(2/5+1/3)
2/5+1/3=(6+5)/15=11/15
15/15-11/15=4/15
If Sarah were to paint her living room alone, it would take 5 hours. Her sister Rachel could do the job in 8 hours. How long would it take them working together?
It takes a specific amount of time (T) to finish a particular task (W). The rate of work is the quantity of units of work completed per unit of time (R). Work (W) = Rate (R) Time, thus (T).
They spent 40/13 hours together painting her living room.
What is the relationship between time and work?Time = 1 divided by the rate of work. If a task is completed across x days, then the amount of work completed in a single day is equal to 1/x. Total Work Done = Days * Productivity. Time and effectiveness are inversely related to one another.Time and work concerns concern the simultaneous performance of a person or a group's productivity and the amount of time it takes for them to finish a task. Work is the energy expended to complete a task or produce a deliverable.It takes a specific amount of time (T) to finish a particular task (W). The rate of work is the quantity of units of work completed per unit of time (R). Work (W) = Rate (R) Time, thus (T)sarah does the 1/5 of the job per hour.
Rachel does the 1/8 of the job per hour.
Together, they do 1/5 + 1/8 of the job per hour.
= 13/40 of the job each hour
The inverse of job/hour = hours per job
---> 40/13 hours to do it together.
For a shortcut:
t = 5*8/(5+8) = 40/13 hours
They spent 40/13 hours together painting her living room.
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Find the output, y, when the input, x, is -9.
y =
Answer:
when x=-9, y=1
Step-by-step explanation:
the graph shows when the x is at -9, the y is at 1
What is the slope of the line that goes through the points (6,4) and (8,-2)?
Answer:
B: -3
Step-by-step explanation:
The points are given as; (6,4) and (8,-2)
Slope is given by the formula;
Slope = (y2 - y1)/(x2 - x1)
Slope = (-2 - 4)/(8 - 6)
Slope = -6/2
Slope = -3