Answer:
P = 24.135 pounds per square inch
Step-by-step explanation:
The air pressure in the tire should be \(24\dfrac{27}{200}\) pounds per square inch. This pressure is in the form of a mixed fraction. It is required to convert this pressure into a decimal form. We can convert it as follows :
\(24\dfrac{27}{200}=\dfrac{(24\times 200)+27}{200}\\\\=24.135\ \text{pounds/square inch}\)
In decimal form, the value of pressure in the tire on the digital pressure gauge is 24.135 pounds per square inch.
using maria’s new budget, if she wanted to buy a new tv that costs $420 and wanted to do it in 6 months, how much additional money must she cut from her expenses each month?
Maria must cut an additional $70 from her expenses each month in order to save enough money to buy a new TV that costs $420 in 6 months. By allocating this additional amount towards her savings goal, she will be able to reach her target within the desired timeframe. It's important for Maria to review her budget and identify areas where she can reduce expenses in order to make room for the additional savings. This could involve cutting back on discretionary spending, finding ways to save on daily expenses, or exploring opportunities to increase her income.
Maria must cut an additional $70 from her expenses each month.
To determine how much additional money Maria must cut from her expenses each month to afford a new TV that costs $420 in 6 months, we divide the total cost by the number of months.
Additional money per month = Total cost / Number of months
Additional money per month = $420 / 6
Additional money per month = $70
With careful planning and commitment to her budget, Maria can achieve her goal of purchasing a new TV without compromising her financial stability.
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A bucket of golf balls contains yellow golf balls and white golf balls. You collect there presentative sample shown. Based on your sample, predict how many golf ballsare yellow If the bucket contains 60 golf balls
Answer:
30
Step-by-step explanation:
Half of 60 is 30. I am not a 100% sure of it tho.HELP ASAP
Are the two triangles similar? If so, state the reason and the similarity statement.
Answer:
Step-by-step explanation:
correct answer : B
A doctor allots 15 minutes for routine office visits and 45 minutes for full physicals. the doctor cannot
do more than 10 physicals per day. the doctor has 9 available hours for appointments each day. a
routine office visit costs $60 and a full physical costs $100. how many routine office visits and full
physicals should the doctor schedule to maximize her income for the day? what is the maximum
income?
Answer:
1 full physical and 33 routine visits per day to maximize income for the day.
Maximum income is $2080.
Step-by-step explanation:
The doctor has 9 hours per day which equals to 9 x 60 = 540 minutes
If there are 10 physicals per day, the maximum minutes will be 45 x 10 = 450 minutes.
so the time left for routine office visits will be 540 - 450 = 90 minutes
then the number of routine office visits will be 90 / 15 = 6
Her income will be ($100 x 10) + ($60 x 6) = 1000 + 360 = $1360
If there is 1 physical per day, then the time will be 45 x 1 = 45 minutes
so time left for routine office visits will be 540 - 45 = 495 minutes
then the number of routine office visits will be 495 / 15 = 33
Her income will be ($100 x 1) + ($60 x 33) = 100 + 1980 = $2080
If there are 2 physicals per day, then the time will be 45 x 2 = 90 minutes
so time left for routine office visits will be 540 - 90 = 450 minutes
then the number of routine office visits will be 450 / 15 = 30
Her income will be ($100 x 2) + ($60 x 30) = 200 + 1800 = $2000
Answer:
36 routine visits0 physicalsStep-by-step explanation:
You want to maximize the doctor's income when she makes $60 for a 15-minute routine visit and $100 for a 45-minute physical. She can work 9 hours per day.
Earning rateFor a routine visit, the doctor is charging $60 for 15 minutes, or $4 per minute.
For a physical, the doctor is charging $100 for 45 minutes, or $2.22 per minute.
Clearly, the doctor earns income faster by spending her time doing routine office visits. There appears to be no limit on the number of those she can do.
Working 9 hours at $4 per minute, the doctor earns ...
(9 h/day)(60 min/h)($4/min) = $2160/day
AppointmentsThe number of routine visits in a day will be ...
(9 h/day)(60 min/h)/(15 min/visit) = (9·60/15) visits/day = 36 visits/day
The doctor's maximum income is $2160 per day, making 36 routine office visits per day.
__
Additional comment
Each physical will reduce the doctor's income by $80. (In that 45 minutes, she could have done 3 routine visits, for a revenue of 3·60 = 180, instead of the physical for a revenue of 100.)
URGENT LAST QUESTION OF MY END OF QUARTER TEST! 30 POINTS
find JL in rectangle JKLM if JK=12 and JM=9.
Answer:
15
Step-by-step explanation:
If you do the Pythagorean theorem or use the right triangle triples, you’ll get 15 as your answer, hope this helps :)
Determine which answer in the solution set will make the equation true.
2p + 9 = 4p − 13
S: {−11, 0, 11, 22}
Answer:
11
Step-by-step explanation:
If you input the number and then solve, you should get that #=#
2(11)+9=4(11)-13
22+9=44-13
31=31
Answer: 11
Step-by-step explanation: 2(11)+9=4(11)-13, 22+9=44-13, 31=31
Would the midpoint (2,2) be correct?
Answer: YES, Its correct.
\(M_x=\frac{-6+2}{2}=2\\\\M_y=\frac{-3+7}{2}=2\\\\M=(2,2)\)
Answer:
(-2,2)
Step-by-step explanation:
The midpoint is the middle of the line. So, you can take it step-by-step and look at the individual numbers.
Between -6 and 2, that is 8 spaces. So, the middle would be four spaces from one of those numbers. Therefore, X-COORDINATE = -2
Between -3 and 7, that is 10 spaces. So the middle would be 5 spaces from one of those numbers, Therefore, Y-COORDINATE = 2
So, the midpoint would be (-2,2)
A cooling tower is 120 meters tall. The sides of the tower are in the shape of a hyperbola defined by the equation x^2/500 - y^2/900 = 1 with units in meters. The center of the tower is at the origin. How wide is the tower at the top?
50 m
92 m
100 m
184 m
Answer:
c (100)
Step-by-step explanation:
on edg 2021 ^u^
The width of the tower at the top will be 92 m. Then the correct option is B.
What is a hyperbola?The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.
A cooling tower is 120 meters tall.
The sides of the tower are in the shape of a hyperbola defined by the equation x²/500 – y²/900 = 1 with units in meters.
The center of the tower is at the origin.
Then the width of the tower at the top will be
x²/500 – (120)²/900 = 1
x²/500 – 14400/900 = 1
x²/500 – 16 = 1
x²/500 = 1 + 16
x²/500 = 17
x² = 8500
x = 92.19 ≈ 92 m
Then the correct option is B.
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a 12 inch candle burns down in 12 hours. at what rate does the candle burns, in inches per hour?
Answer:
1 inch per hour because it took 12 hours to burn a 12 inch candle so 1 inch per hour
The candle burns at a rate of 1 inch per hour.
What is a unitary method?
A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, A 12-inch candle burns down in 12 hours.
∴ The rate at which it burns per hour is the total length of the candle divided by the total time it brunt for which is,
= (12/12) inch/hr.
= 1 inch/hr,
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El área de un rectangulo es de 588 cm2. se sabe que el lado mayor es el triple que el menor. Conforme a lo anterior ¿cual es la diferencia entre ambas medidas de sus lado
The length and width of the rectangle are 42cm and 14cm respectively.
How to calculate the value?Area of a rectangle = length × width
Length = 3x
Width = x
In this case, it's important to note that the dimensions of the rectangle have been represented by the variables given.
Therefore, x × (3x) = 588
3x² = 588
Divide
x² = 588/3
x² = 196
x = ✓196
x = 14
Width = 14cm
Length = 3x = 3 × 14 = 42cm
Therefore, this gives the dimensions of the rectangle.
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what's the greatest -1 1/2 or 1/2
Answer:
1/2 is greater than -1 1/2.
Step-by-step explanation:
find e(x), e(x²), the mean, the variance, and the standard deviation of the random variable whose probability density function is given below. f(x) =1/288 x, [0,24]
E(x)= __ (Type an integer or a simplified fraction.) E(x²) = __(Type an integer or a simplified fraction.) μ = __(Type an integer or a simplified fraction.) σ² = (Type an integer or a simplified fraction) σ = (Type an exact answer, using radicals as needed.)
The random variable has an expected value of 16, an E(x²) value of 288, a mean of 16, a variance of 32, and a standard deviation of 4√2.
To find the expected value (E), mean (μ), variance (σ²), and standard deviation (σ) of the random variable with the probability density function f(x) = (1/288)x on the interval [0, 24], we need to perform the necessary calculations.
Expected value (E):
E(x) is calculated by integrating x * f(x) over the given interval:
E(x) = ∫[0, 24] x * (1/288)x dx
Simplifying:
E(x) = (1/288) ∫[0, 24] x² dx
E(x) = (1/288) [x³/3] evaluated from 0 to 24
E(x) = (1/288) [(24³/3) - (0³/3)]
E(x) = (1/288) [(13824/3) - 0]
E(x) = (1/288) * 4608
E(x) = 16
Therefore, E(x) = 16.
E(x²):
E(x²) is calculated by integrating x² * f(x) over the given interval:
E(x²) = ∫[0, 24] x² * (1/288)x dx
Simplifying:
E(x²) = (1/288) ∫[0, 24] x³ dx
E(x²) = (1/288) [x⁴/4] evaluated from 0 to 24
E(x²) = (1/288) [(24⁴/4) - (0⁴/4)]
E(x²) = (1/288) [(331776/4) - 0]
E(x²) = (1/288) * 82944
E(x²) = 288
Therefore, E(x²) = 288.
Mean (μ):
The mean (μ) is the same as the expected value E(x). So, μ = 16.
Variance (σ²):
Variance (σ²) is calculated as E(x²) - (E(x))^2:
σ² = E(x²) - (E(x))^2
σ² = 288 - (16)^2
σ² = 288 - 256
σ² = 32
Therefore, σ² = 32.
Standard Deviation (σ):
The standard deviation (σ) is the square root of the variance:
σ = √(σ²)
σ = √32
σ = 4√2
Therefore, σ = 4√2.
To summarize:
E(x) = 16
E(x²) = 288
μ = 16
σ² = 32
σ = 4√2
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PLEASE ANWSER ASAP
Below, a two-way table is given
for student activities.
Sports Drama Work Total
7
3
13
2
5
5
Sophomore 20
Junior
20
Senior
25
Total
Find the probability the student is a sophomore,
given that they are in work.
P(sophomore | work) = P(sophomore and work) = [? ]%
P(work)
Round to the nearest whole percent.
The probability of P(sophomore | work) is 0.30.
Given that:
Sports Drama Work Total
Sophomore 20 7 3 30
Junior 20 13 2 35
Senior 25 5 5 35
Total 65 25 10 100
The probability is given as,
P = (Favorable event) / (Total event)
The probability of P(sophomore | work) is calculated as,
P = (3/100) / (10/100)
P = 3 / 10
P = 0.30
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I accidentally clicked one.
you guys can put A. B. C. or D.
THANK YOU (ㆁωㆁ)
Answer:
Its C the correct one
Step-by-step explanation:
estelle's cornfield is divided into 666 regions. she wants to know if a new pesticide is as effective as the pesticide that she currently uses. she randomly assigns each of the 666 regions to either the new or current pesticide for a month, and she'll compare the effectiveness of the pesticides. what type of experiment design is this?
This is completely Randomized experiment design .
Randomized block design is an experiment design in which the experimental units are categorized into groups, which are called blocks.
In the given question, we see that Estelle's cornfield is divided into 666 regions. She is curious about whether a new pesticide is effective because she uses pesticides and assigns each of the 666 regions at random.Now, the experiment units, i.e., 666, are not split into groups before random assignment. The entire region is randomly assigned to a pesticide. A randomised block design assigns some of each block to different treatment and control groups.
So , this is a completely randomized block design.
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Help please, I don't know what to do
The listed elements of the sets are as follows:
X = {1, 2, 3, 4, 5}Y = {2, 4, 6, 8 }U = {1, 2, 3, 4, 5, 6, 7, 8, 9}X ∪ Y = {1, 2, 3, 4, 5, 6, 8}X ∩ Y = {2, 4}X' = {6, 7, 8, 9}(X ∩ Y)' = {1, 3, 5, 6, 7, 8, 9}How to list elements of a sets in a Venn diagram?Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things.
The sets in the Venn diagram are U, X and Y.
Therefore, let's find the elements of the sets.
X = {1, 2, 3, 4, 5}Y = {2, 4, 6, 8 }U = Universal sets = {1, 2, 3, 4, 5, 6, 7, 8, 9}X ∪ Y = {1, 2, 3, 4, 5, 6, 8}X ∩ Y = {2, 4}X' = {6, 7, 8, 9}(X ∩ Y)' = {1, 3, 5, 6, 7, 8, 9}learn more on Venn diagram here: https://brainly.com/question/10608955
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If Eugene can buy three cantaloupes for $7. Then how many can you buy with $14
If anyone could help me please on number 4
two cards are pulled at random from a deck of 100 cards labeled from 1 to 100. what is the probability that one of the pulled cards is double the value of the other?
The probability that one of the pulled cards is double the value of the other is 0.0101.
Consider the possibility of the first card being double or the second card being doubled. There are 50 possible combinations if the first card is doubled. When the first card is double, the second card has a 1/99 chance of being the half-card
The probability of the first card being doubled is as follows:
= 50 × 1/100 × 1/99
So the probability of drawing two cards, where one is double the other, is:
= 2 × 1/2 × 1/99 or 0.0101
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when an analysis of variance is performed on samples drawn from k populations, the mean square between treatments (mstr) is . a. sstr/k b. sstr/nt c. sstr/(k – 1) d. sstr/(nt – 1)
When data from k populations are utilized in an analysis of variance, the mean square between treatments (MSTR) = (C) SSTR/(k - 1).
What is an analysis of variance?A statistical method called analysis of variance (ANOVA) is used to examine variations in response variables (continuous random variables) evaluated under settings with discrete factors (classification variables, often with nominal levels).
Analysis of Variance is referred to as ANOVA.
Ronald Fisher created a statistical test in 1918, and it has been in use ever since.
Simply put, an ANOVA analysis determines if the means of three or more independent groups differ statistically.
The mean square between treatments (MSTR) equals SSTR/ when samples from k populations are used in an analysis of variance (k - 1).
Therefore, when data from k populations are utilized in an analysis of variance, the mean square between treatments (MSTR) = (C) SSTR/(k - 1).
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Correct question:
When an analysis of variance is performed on samples drawn from k populations, the mean square between treatments (MSTR) is _____.
a. sstr/k
b. sstr/nt
c. sstr/(k – 1)
d. sstr/(nt – 1)
Tony is a salesperson who earns $560 per week plus $60 for each sale he makes. This week, he wants to earn at least $920. Write and solve an inequality that represents the number of sales Tony must make this week to earn at least $920. Write a sentence to represent the solution set in the context of the problem.
Answer:
920 = 560 + 60(x) He must make at least 6 sales to have earned $920
Step-by-step explanation:
Inequality for the situation → 60x+ 560 ≥ 920
Tony must make a sale of 6 to earn at least $920.
Formation of an inequality from a verbal statement: Define the variable first, then form an equation as per given
statement.
If the statement ends with at least, inequality will be denoted bythe sign (≥).
Given in the question,
Tony earns $560 per week as a fixed amount and $60 for each sale.He wants to earn at least $920 this week.Let the number of sales Tony does every week = x
Expression for his weekly earning → $(60x + 560)
If he wants to earn at least $920,
Inequality representing the situation will be,
60x+ 560 ≥ 920
Simplify the inequality for the solution,
60x + 560 - 560 ≥ 920 - 560
60x ≥ 360
x ≥ 6
Therefore, Tony must make a sale of 6 to earn at least $920.
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solve the equation for x. square root of x+4-7=1 A. x=4 B.x=12 C. x=60 D.x=68
Answer:
x = 60 (Answer C)
Step-by-step explanation:
Ambiguous. I will assume that you meant:
x+4-7=1 => √(x + 4) - 7 = 1
This latter result simplifies to
√(x + 4) = 8
Squaring both sides, we get: x + 4 = 64, or x = 60 (Answer C)
The value of x is 4.
Option A is the correct answer.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
√(x + 4 - 7) = 1
Square on both sides.
x + 4 - 7 = 1²
x + 4 - 7 = 1
Add 7 on both sides.
x + 4 = 1 + 7
x = 8
Subtract 4 on both sides.
x + 4 - 4 = 8 - 4
x = 4
Thus,
The value of x is 4.
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Waukee railroad is considering the purchase of a powerful, high-speed wheel grinder to replace a standard wheel grinder now in use. selected information on the two machines follows: standard wheel grinder high-speed wheel grinder original cost/new cost $ 45,000 $ 67,500 accumulated depreciation to date $ 18,000 $ 0 current salvage value $ 11,750 $ 0 estimated cost per year to operate $ 26,250 $ 16,250 remaining years of useful life 5 years 5 years required: compute the net advantage or disadvantage of purchasing the high-speed wheel grinder covering the five-year period. use only relevant costs in your analysis. ignore tax effects.
The net disadvantage of purchasing the high-speed wheel grinder is $ 5,750
What is net advantage or disadvantage?
Net advantage or disadvantage is the total of potentially monetary savings from action of a business choosing to purchasing or lease an asset.
First, we calculate the net advantage in year 0
= current salvage value of standard - Original cost of high-speed
= $ 11,750 - $ 67,500
= - $ 55,750
Next we calculate the net advantage in year 5
= net advantage in year 0 + cost saving in 5 years
= - $ 55,750 + ($ 26,750 - $ 11,750) * 5
= - $ 55,750 + $ 50,000
= - $ 5,750
Thus, the net disadvantage of purchasing the high-speed wheel grinder is $ 5,750
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Divide (10x^3 + 19x^2 + x - 7) by (5x + 2)
Answer:
2x² + 3x - 1 - 5/(5x +2)
Step-by-step explanation:
2x² + 3x - 1
__________________
5x + 2 | 10x³ + 19x² + x - 7
| -10x³ - 4x²
| 15x² + x
| - 15x² - 6x
| - 5x - 7
| 5x +2
| - 5
2x² + 3x - 1 - 5/(5x +2)
Solve the system of linear equations
{x + y + 2z - w = -2 {3y + z + 2w = = 2 {x + y + 3w = 2 {-3x + z + 2w = 5
The given system of linear equations consists of four equations with four variables: x, y, z, and w. To solve the system, we can use various methods, such as Gaussian elimination or matrix operations.
By performing row operations, we can reduce the system to its row-echelon form or solve it directly to find the values of x, y, z, and w. We will solve the system of linear equations using the method of Gaussian elimination. The augmented matrix representation of the system is:
[1 1 2 -1 | -2]
[0 3 1 2 | 2]
[1 1 0 3 | 2]
[-3 0 1 2 | 5]
First, we'll perform row operations to transform the matrix into the row-echelon form:
R2 = R2 - 3R1
R3 = R3 - R1
R4 = R4 + 3R1
The resulting matrix after these operations is:
[1 1 2 -1 | -2]
[0 0 -5 5 | 8]
[0 0 -2 4 | 4]
[0 3 1 2 | 5]
Next, we'll perform additional row operations to further simplify the matrix:
R4 = R4 - 3R2
The matrix now becomes:
[1 1 2 -1 | -2]
[0 0 -5 5 | 8]
[0 0 -2 4 | 4]
[0 3 1 2 | -19]
Finally, we'll perform the last row operation:
R3 = R3 + 2R2
The matrix is now in row-echelon form:
[1 1 2 -1 | -2]
[0 0 -5 5 | 8]
[0 0 0 14 | 20]
[0 3 1 2 | -19]
From this row-echelon form, we can solve for the variables. Starting from the bottom row, we obtain:
3w + z + 2w = -19, which simplifies to 5w + z = -19.
Next, we have 0x + 0y - 5z + 5w = 8, which simplifies to -5z + 5w = 8.
Lastly, x + y + 2z - w = -2.
At this point, we have three equations with three variables: x, y, and z. By solving this simplified system, we can find the values of x, y, and z.
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Tomika uses 6 inches of wire to make a necklace and 3 inches of wire to make a bracelet.
How many necklace and bracelet sets can she make if she uses 28
Enter your answer in the box.
inches of wire in all?
sets
whats the answer
Answer:
3
Step-by-step explanation:
3x(6+3)=27, shed have 1 inch left over
Kristen had dinner and her meat cost was $18.25. she plans to leave a 20% tip. what is the amount of tip that he will pay?
0.20,
20% converted to a decimal is 0.2 add a 0 then u have 0.20 cents
2x+10=12
so x=??
\(\huge \dag \sf{Help \: me}\)
Answer:
\(\sf\longmapsto\sf\boxed {x = 1}\)
Step-by-step explanation:
\(\sf\longmapsto \: 2x + 10 = 12\)
\(\sf\longmapsto \: \: 2x + 10 - 10 = 12 - 10\)
\(\sf\longmapsto \: 2x = 2\)
\(\sf\longmapsto \: \frac{2x}{2} = \frac{2}{2} \)
\(\sf\longmapsto \: x = 1\)
Answer:
\(\boxed {\sf x=1}\)
Step-by-step explanation:
\(\sf 2x+10=12\)
\(\boxed{\mathrm{Subtract\:}10\mathrm{\:from\:both\:sides}}\)
\(\sf 2x+10-10=12-10\)\(\sf 2x=2\)\(\boxed{\mathrm{Divide\:both\:sides\:by\:}2}\)
\(\sf \cfrac{2x}{2}=\cfrac{2}{2}\)\(\sf x=1\)\(\boxed{\sf Hope\: it\:helps!}\)
The sixth-graders at Barbara's school got to choose between a field trip to a museum and a field trip to a factory. 39 sixth-graders picked the museum and 26 sixth-graders picked the factory. What percentage of the sixth-graders picked the museum
Answer: 60%
Step-by-step explanation:
Sixth-graders that picked the museum = 39
Sixth-graders that picked the factory = 26
Total number of sixth graders = 39 + 26 = 65
Therefore, the percentage of the sixth-graders that picked the museum would be:
= Sixth-graders that picked the museum / Total number of sixth graders × 100
= 39/65 × 100
= 60%
Item 1
Solve the equation.
3h=15
h=
Answer:
h=5
Step-by-step explanation:
When the door was left open, 36 pigeons flew the coop. If this was 40 percent of all the pigeons, how many pigeons were there originally?
Answer:
100%
Step-by-step explanation: