Answer:
Step-by-step explanation:
1. x=5
2. xy7
Can someone help me with this
Answer:
Step-by-step explanation:
What are you supposed to do?
Amira is solving the equation x2 - 6x - 1. Which value must be added to both sides of the equation to make the left side a perfect-square trinomial?
If (x-2)(x-4)= (x - h)² + k, then what is the value of k?
the franchisee estimates that customers will not wait in line more than five minutes for a car wash. a longer time will cause robot to lose the gasoline sales as well as th car wash sale. if the estimate of customer arrivals is 10 per hour, which wash unit should be selected?
Using unit I, calculate the average waiting time of customers in the wash line (μ for unit I = 12 per unit).
For unit II at 15 per hour
if waiting time is the only criterion, unit II should be purchased. But before we make the final decision, we must look at the profit differential between both units.
With unit I, some customers would balk and renege because of the 5 minute wait. And, although this greatly complicates the mathematical analysis, we can gain some estimate of lost sales with unit I by increasing Wq = 5 minutes and solving for λ. This would be the effective arrival rate of customers.
Therefore, because the original estimate of λ was 10 per hour, an estimated 2 customers per hour will be lost.
Lost profit of 2 costumers per hour × 14 hours × 1/2 ($0.70 fill-up profit + $0.40 wash profit) = $15.40 per day.
Because the additional cost pf unit II over unit I is only $4 per day, the loss of $15.40 profit obviously warrants installing unit II.
The original five-minute maximum wait constraint is satisfied by unit II.
Therefore, unit III is not considered unless the arrival rate is expected to increase.
Given question is incomplete.
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14.2: Prove Pythagoras Right 15 min
Elena is playing with the equivalent ratios she wrote in the warm-up. She rewrites
=as a² = xc. Diego notices and comments, "I got b2 = yc. The a² and remind me
of the Pythagorean Theorem." Elena says, "The Pythagorean Theorem says that
a² + b² = ².1 bet we could figure out how to show that."
a
h
1. How did Elena get from = to a² = xc?
2. What equivalent ratios of side lengths did Diego use to get b² = yc?
In the following passage we have proven the Pythagoras' theorem.
What is Pythagoras' theorem?
The hypotenuse's square is equal to the sum of the squares of the other two sides if a triangle has a straight angle (90 degrees), according to the Pythagoras theorem. Keep in mind that BC2 = AB2 + AC2 in the triangle ABC signifies this. Base AB, height AC, and hypotenuse BC are all used in this equation. The longest side of a right-angled triangle is its hypotenuse, it should be emphasized.
Here given in the question that one side of the wall 5 feet
So as it is a rectangular bedroom it can be split into 2 right-angled triangles.
So the hypotenuse of the triangle is 13 feet
Now using the Pythagoras theorem we can find out the length of the other wall
b²=h²-p²
AB² + BC² = AD × AC + CD × AC
AB² + BC² = AC (AD + CD)
Since, AD + CD = AC
Therefore, AC² = AB² + BC²
So we have p² + b² = h².
Hence, we prove the Pythagoras theorem using two triangle.
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An equation in slop intercept form the y intercept -5 the slope -1/2
Answer:
y=-1/2x-5
Step-by-step explanation:
The angles of a triangle add up to 180 degrees. The second angle is 6 degrees larger than the smallest angle. The third angle is 4 times as big as the smallest angle. Find the measure of the smallest angle (in degrees) degrees
A machine is used to fill several bags each of 20-ounces of spicey
chips. After each bag is filled, another machine weighs them. If the
bag weighs .25 less or more than the desired weight, the bag is
rejected. Write an equation to represent the maximum weight for a
bag of chips that the machine will approve.
Answer: 19.75oz < x > 20.25oz
Step-by-step explanation: let x represent the weight of the bag of chips.
This equation states that the. weight must not exceed 20.25 but it must not be below 19.75oz.
Answer: 19.75oz < x > 20.25oz
Step-by-step explanation:
How many times does the digit 9 appear in the list of all integers from 1 - 500?
9 cannot be in the first postion.
2nd position but not third
5*1*9=45
3rd position but not second
5*9*1=45
2nd and third position
5*1*1=5 2 each so that is 10
45+45+10=100
9 appears in all integers from 1 to 500, 95 times.
9 total from
1-9: 1 time
10-19: 1 time
20-29: 1 time
30-39: 1 time
40-49: 1 time
50-59: 1 time
60-69: 1 time
70-79: 1 time
80-89 : 1 time
among 90 and 99
Between 1991 and 1998, one will occur.
then in 1999, 2 9.
9 from 90 to 99 is 10, thus
9+10 = 19 is the total number of 9s from 1 to 99.
In 1 to 99, there are so 19 9s.
similarly
the following:
19 9's in 100 to 199
19 9's in 200 to 299
19 9's in 300 to 399
19 9's in 400 to 499
Total 9s will therefore be
19+19+19+19+19+19 = 95 times
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5. A retail store selling soaps, lotions, and candles must ship products to each of their locations. Each shipping box must contain 40 items and weigh exactly 25 pounds (400 ounces) Each body spray weighs 8 ounces and each shower gel weighs 12 ounces. The graph shows a system of equations for this scenario where z is the number of body sprays and is the number of shower gels in one shipping package In parts a-d determine which point(s) best match each description
The solution of the system of equations is given as follows:
x = 20 -> 20 body sprays.y = 20 -> 20 shower gels.How to obtain the amounts with the system of equations?
The variables of the system of equations are given as follows:
Each shipping box must contain 40 items, hence:
x + y = 40.
The box weighs 400 ounces, hence, considering the weight of each item, we have that:
8x + 12y = 400.
From the first equation, we have that:
x = 40 - y.
Then the number of shower gels is obtained as follows:
8(40 - y) + 12y = 400
4y = 80
y = 80/4
y = 20.
The number of body sprays is of:
x = 40 - 20 = 20.
Missing InformationThe problem is incomplete, hence we build and solve the equations, which will help you obtain the other information.
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if you are using 5.25% (mass/mass) bleach solution and you determine that the density of the bleach solution is 1.08 g/ml, how many moles of sodium hypochlorite are present in a 4.00 ml sample?
0.00305 moles of sodium hypochlorite are present in a 4.00 ml sample.
A mole is the mass of a substance made up of the same number of fundamental components. Atoms in a 12-gram example are identical to 12C. Depending on the substance, the fundamental units may be molecules, atoms, or formula units.
A mole fraction shows how many chemical elements are present. The value of 6.023 x 1023 is equal to one mole of any substance (Avagadro number). It can be used to quantify the chemical reaction's byproducts. The symbol for the unit is mol.
The number of moles formula is denoted by the following expression.
The mass of material / Mass of one mole equals the number of moles.
moles of NaClO = mass of sample×density of bleach solution×mass of bleach solution×1 mol/ mass of NaClO
= 4.00×1.08×0.0525/74.4 g of NaClO
= 0.00305.
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Question 1 of 10 Which statements describe the function f(x) = 2(x-4)4? A. It has 3 zeros and at most 4 relative maximums or minimums. B. It is a translation of the parent function 4 units to the left. C. It has 4 zeros and at most 3 relative maximums or minimums. D. Both ends of the graph of the function go up. E. The left end of the graph of the function goes up, and the right end goes down. F. It is a translation of the parent function 4 units to the right. SUBMiT
Answer:
C. It has 4 zeros and at most 3 relative maximums or minimums. D. Both ends of the graph of the function go up.F. It is a translation of the parent function 4 units to the right.Step-by-step explanation:
You want the statements that describe the function f(x) = 2(x -4)⁴.
DegreeThe degree of the function is the exponent: 4. This means the function has 4 zeros.
The maximum number of relative extrema is 1 less than the degree. The function has at most 3 relative maximums or minimums.
The even degree means both ends of the graph go in the same direction.
Leading coefficientThe leading coefficient of 2 is positive, so the ends of the function will go up.
Horizontal translationIn the parent function f(x) = x⁴, the value of x has been replaced by (x-4). This causes the graph to be translated 4 units to the right.
__
Additional comment
This function has a zero at (4, 0) with multiplicity 4. There is a flat spot where the graph touches, but does not cross, the x-axis. As a consequence, there is only one minimum and no relative maximums.
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each of two pesticide brands is applied to 100 containers of fire ants. brand1 killed all ants in 65 of 100 containers within two hours, and brand 2 killed all ants in 58 of 100 containers within two hours.
The pValue is 0.15625 > 0.05 when brand1 killed all ants in 65 of 100 containers within two hours, and brand 2 killed all ants in 58 of 100 containers within two hours in hypothesis.
Let A represent the new pesticide and B be the Ant Killer. Then, you are given that
Brand1 kills ants in 65 of 100 containers:
Xa = 65/100 = 0.65
Brand2 kills ants in 58 of 100 containers:
Xb = 58/100 = 0.58
You know need to find sample variance for both,
s²A =∑(Xi - Xa)
= 65(1-0.65)² + 35(0 - 0.65)²
= 22.7
s²B =∑(Xi - Xb)²
= 59(1-0.59)² + 41(0 - 0.59)²
= 24.19
You can know do a test for significance
t = (Xa - Xb) / √(sA /nA) +(sB/nB)
and derive the conclusion from there
Here, Null and alternative hypothesis are generally,
Alternative hypothesis
Here, there are three samples are assumed. They are:
i) Samples are taken independently
ii) Samples must be selected randomly
iii) n₁p₁ ≥ 5 , n₁q₁ ≥ 5, n₂p₂ ≥ 5, n₂q₂ ≥ 5
i.e., p₁ = 0.65 ; p₂ = 0.58 , n₁= 100
q₁ = 0.35 ; q₂ = 0.42 , n₂=100
Corresponding p-value at Z = 1.01722
p-value = 0.15625 > 0.05
Hence, the pValue is 0.15625 > 0.05 when brand1 killed all ants in 65 of 100 containers within two hours, and brand 2 killed all ants in 58 of 100 containers within two hours in hypothesis.
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can someone help me really quick
(please Explain how you know this is correct)
Answer:
$12.50
Step-by-step explanation:
Look at the graph down below \/
U can also mark where the pounds is so right at 25 pounds it would be about $12~
josh was preparing a speech about home real estate and wanted to give an idea how home prices had fallen in all seven recognized neighborhoods in his city. he found that the rounded percentage decreases were 3, 3, 5, 6, 7, 7, and 19. why would using the mean, or average, decrease be misleading?
The mean of the decrease in rounded percentage of home is 7.14 which would used as misleading the about data as raw data very far away from 7.14.
As given in the question,
Given rounded percentage decrease in home price is:
3, 3, 5, 6, 7, 7, 19
Mean of the rounded percentage
= ( Sum of all the values)/ (Number of values)
= ( 3 + 3 + 5 + 6 + 7 + 7 + 19) / 7
= 50 /7
=7.1428
= 7.14
7.14 is very far away from 3 and 19.
Mean is not representing the correct information of the home price.
Using mean is misleading the correct information about percentage decrease.
Therefore, value of the mean is equal to 7.14 which mislead the decrease percentage.
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Use the slope formula to determine the slope of a line that passes through the points (-5,-3) and (9,-10)
Answer:
-1/2
Step-by-step explanation:
y2-y1/x2-x1
-10-(-3)/9-(-5)=-7/14=-1/2
in 2006, 68.1 million people subscribed to cable television. in 2013, that number had decreased to 57.1 million. find the percent decrease in the number of cable tv subscribers from 2006 to 2013.
The percent decrease in the number of cable TV subscribers from 2006 to 2013 is 17.92%.
In the given question, in 2006, 68.1 million people subscribed to cable television. in 2013, that number had decreased to 57.1 million.
We have to find the percent decrease in the number of cable TV subscribers from 2006 to 2013.
The number of subscriber in 2006 is 68.1 million.
The number of subscriber in 2013 is 57.1 million.
Then the percent decrease in the number of cable tv subscribers from 2006 to 2013 is
Percent decrease in the number of cable TV subscribers = (subscriber in 2006 - subscriber in 2006)/subscriber in 2006 *100
Percent decrease in the number of cable TV subscribers = (61.4-50.4)/61.4 *100
Percent decrease in the number of cable TV subscribers = 11/61.4 *100
Percent decrease in the number of cable TV subscribers = 0.1792*100
Percent decrease in the number of cable TV subscribers = 17.92%
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a car is purchased for . each year it loses of its value. after how many years will the car be worth or less? (use the calculator provided if necessary.)
Answer: I calculated the value after 5 years to be 5,734.40 or 5,734
Step-by-step explanation:
3.9y^2+9.5y-8.2=0 solve using the quadratic formula
Solving the equation using quadratic formula the value of y in the quadratic equation is y= 0.675 or y= -3.11
Quadratic EquationMathematically, quadratic formula can be written as
[tex]y= \frac {-b + or - \sqrt{b^{2}-4ac } }{2a}[/tex]
from the expression, a= 3.9 , b=9.5, c= -8.2
substitute the value into the quadratic equation
[tex]y= \frac{-b^{} + or -\sqrt{b^{2}- 4ac } }{2a}[/tex]
y= [tex]\frac{-9.5^{} + or - \sqrt{9.5^{2}-4(3.9)(-8.2) } }{2(3.9)}[/tex]
y= [tex]\frac{-9.5^{} + or -\sqrt{90.25+127.92} }{7.8}[/tex]
y= [tex]\frac{-9.5^{} + \sqrt{218.17} }{7.8}[/tex] or y= [tex]\frac{-9.5^{} - \sqrt{218.17} }{7.8}[/tex]
y = [tex]\frac{-9.5 + {14.77} }{7.8}[/tex] or y= [tex]\frac{-9.5 - {14.77} }{7.8}[/tex]
y = [tex]\frac{5.27}{7.8\\}[/tex] or y= [tex]\frac{-24.27}{7.8}[/tex]
y= 0.67 or y= -3.11
Therefore the value of y in the quadratic equation is y= 0.67 or y= -3.11
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What’s y=-3(x-1)2 squared +3 in factored form
Answer: y=−16.309691adqrsux+16.309691adqrsu+3
Let's solve for y.
y=((((((((−3(x−1))(2))(s))(q))(u))(a))(r))(2.718282))(d)+3
This is the best I could come up with
x + 6 + 3x = 5x - 4
I need help because I don’t really know how to do this. This is for geometry
Answer: x = 10
Step-by-step explanation:
x + 6 + 3x = 5x - 4
First you want to group your like values together
6 +4 = 5x - 3x - x
Note that when any value crosses the = sign, The sign in front of it (+/-) changes. (e.g. -4 changes to +4 after it crosses the = sign)
Then work out your values
10 = x
Also note that x is the same as 1x. So you minus 3x from 5x to get 2x and 2x minus 1x is equal to 1x which is the same as x.
A final exam in Math 160 has a mean of 73 with standard deviation 7.8. If 24 students are randomly selected, find the probability that the mean of their test scores is greater than 78. A) 0.0103 B) 0.0008 C) 0.8962 D) 0.0036
The correct answer is b that is the probability that the mean of their test scores is greater than 78 is 0.0008.
What is Probability?The field of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number that lies between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The probability is calculated on dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas where odds are calculated by dividing the likelihood of an event by the likelihood that it won't.
mean, μ = 73
standard deviation σ =7.8
η = 24
P (X*=78)
P( Z>3.1403)
Hence, the probability that the mean of their test scores is greater than 78 is 0.0008.
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Please help ! Need to know what the answer is solve while using the Pythagorean theorem !
Answer:
y ≈ 16.12452
Step-by-step explanation:
Pythagorean theorem = a² + b² = c²
In this example, 14 = a, 8 = b, and y = c
14² = 196, 8² = 64
196 + 64 = 260 = y²
y² = [tex]\sqrt{260}[/tex] ≈ 16.12452
is it possible for two quantities to (a) have the same units but different dimensions or (b) have the same dimensions but different units? explain.
If two quantities have same units, they will be comprised of the same basic physical quantities and hence their dimensions will be same. Same dimensions do not represent the same physical quantity. For example, The kinetic energy and the potential energy are measured in the same units but they possess different physical quantities.
What is dimensions?The minimal set of coordinates required to specify any point within a mathematical space is known as the dimension of the space in physics and mathematics. As a result, a line has a dimension of one because a point on it can be specified by a single coordinate, such as the point at 5 on a number line.
Two quantities with the same units will be made up of the same fundamental physical quantities, resulting in identical dimensions. The same physical quantity does not have the same dimensions. For instance, although having different physical properties, kinetic energy and potential energy are measured in the same units.
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In cell I5, insert the AVERAGEIFS function to calculate the average SAT score that meets two conditions: Scores in the range I11:I67 are greater than or equal to 3500 and Final Decisions in the range J11:J67 are Early Admissions (cell E3). Use mixed references appropriately.
The term in cell I5 will be for the AVERAGEIFS function:
AVERAGEIF( I11:I67 ,"<3500",J11:J67 ,"E3")
For the given question the termed AVERAGEIFS is the function formula in excel which returns the average of all the cells available in the sheet in a range that meets a given condition.the syntax for the term is AVERAGEIF(range, criteria, [average_range]), where the range is Required like One or more cells to get the average. Criteria os the basically the form of an expression, number, or cell reference, and at last the average range is optional it is just the set of cells to average.
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Last year, Pinwheel Industries introduced a new toy. It cost $2500 to develop the toy and S25 to manufacture each toy. Fill in the blanks below as appropriate.
A.) Give a linear equation in the form Cmn + b that gives the total cost, C, to produce n of these toys Preview
B.) The total cost to produce n 3000 toys is S
C.) With $32500, a total of toys can be produced.
Equation is C=25n + 2500 And The total cost to produce 3000 toys is $77,500 And With $32500, a total of 1200 toys can be produced
A linear equation is what, exactly?
An algebraic equation with only a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
A) Lets have linear equation y=mx+b,
C (total cost) = y and n (number of toys) =x.
The original development cost plus the production cost of each toy would equal the overall cost of creating n toys.
Because m is multiplied by n, the number of toys, the cost to produce a toy will equal m.
Due to the fact that b is a constant and its value is unaffected by the quantity of toys, it will always equal the development cost.
Therefore, C=25n + 2500
B) by above, equation put n=1750
C= 25(3000) + 2500
C= $77,500
C) Now, again by same equation, but C instead of n.
=> 32500= 25n +2500
=> 30000=25n
=> n = 1200
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t would be appropriate to use a distribution to simulate customer arrival times at a bank or restaurant. a. exponential b. normal c. poisson d. weibull e. uniform
t-distribution in the bank or restaurant to get the customer arrival time is a b) normal distribution.
The t-distribution is defined by degrees of freedom. These are related to sample size. The t distribution is most useful when the sample size is small, the population standard deviation is unknown, or both. As the sample size increases, the t-distribution will become more normal.
The t distribution is the continuous probability distribution of z scores when the estimated standard deviation is used in the denominator instead of the true standard deviation. The purpose of the t-test is to compare a specific characteristic that describes the groups, and the means will be representative of the populations that are normally distributed.
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Which of these relations is a function?
By using the vertical line test we will see that the relation that is a function is the one in the top left graph.
Which of these relations is a function?Here we ave the graphs of some relations, and we want to see which one of these represents a function.
To check that, we need to do the vertical line test.
The test says that if we draw a vertical line on the coordinate axis, and that line intercepts the graph of the relation more than one time, then the relation is not a function.
With that test we can see that the only relation that is a function is the one in the top left graph, is the only one that passes the vertical line test.
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Response time is an important statistic for measuring the effectiveness of a fire department, and is measured as the difference between the time a fire house receives a call and the time the first piece of fire equipment leaves the station. The response times for fire departments in a large city are found to have an approximately Normal distribution, with a mean of 4.5 minutes and a standard deviation of 1.2 minutes. What percentage of fire station response times are between 4 and 6 minutes?
37.7%
44.3%
55.7%
62.3%
Step-by-step explanation:
55.7% of fire station response times are between 4 and 6 minutes. This can be calculated using the z-score formula, which is (x-μ)/σ, where x is the value of interest (in this case, 4 and 6 minutes), μ is the mean (4.5 minutes), and σ is the standard deviation (1.2 minutes). The z-score for 4 minutes is -0.42 and the z-score for 6 minutes is 0.42. Using a standard
Kadita counted 30 pigs and chickens on the farm. Jack counted a total of 68 legs for the animals. How many pigs were there on the farm?.
Kadita has 4 pigs and 26 chickens in on his farm.
Given, Kadita counted 30 pigs and chickens on the farm. Jack counted a total of 68 legs for the animals.
Let the number of pigs be, x
and the number of chickens be, y
x + y = 30
4x + 2y = 68
Now, we have to two equations,
x + y = 30
2x + y = 34
On subtracting both the equations, we get
x = 4
and y = 30 - 4
y = 26
So, Kadita has 4 pigs and 26 chickens in on his farm.
Hence, Kadita has 4 pigs and 26 chickens in on his farm.
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