Para resolver el ejercicio, primero puedes sumar la cantidad de huevos que ya escondió:
\(23+12=35\)Ahora, resta la cantidad de huevos que ya escondió de los que tiene para esconder:
\(52-35=17\)Por lo tanto, a Ramón le faltan por esconder 17 huevos.
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Gordon Miller's job shop has four work areas, A, B, C, and D. Distances in feet between centers of the work areas are: A B C D A − 5 9 7 B − − 6 8 C − − − 11 D − − − − Workpieces moved per week between work areas are: A B C D A − 900 900 500 B − − 500 200 C − − − 600 D − − − − It costs Gordon $22 to move 1 work piece 1 foot.What is the weekly total material handling cost of the layout?
Answer: $600,600
Step-by-step explanation:
Total handling cost :
Workpiece moved * cost * distance
Work area A :
-, (5 × 22 × 900), (9 × 22 × 900), (7 × 22 × 500)
-, 99000, 178200, 77000
Work area B:
-, -, (6 × 22 × 500), (8 × 22 × 200)
-, -, 66000, 35200
Work area C:
-, -, -, (11 × 22 × 600)
-,-,-, 145200
Work area D:
-, -, -, -
Total weekly handling cost :
(99000 + 178200 + 77000 + 66000 + 35200 + 145200)
= $600,600
Kindly check attached picture for more explanation
-118 = -5(4 + 7x) +7Solve for x
-118 = -5 (4 + 7x) + 7
Rearranging the equation, we have:
-5 (4 + 7x)
2. Regina Aguirre deposits $2,000 into an ordinary annuity after each 6-month period for 4 years. The account
pays 6% interest compounded semiannually. Find the a) future value, and b) total interest earned.
(4z+3)+(4z+3)+(4z+3)+(4z+3) solve pls or simplify
Answer:
\( \boxed{ \bold{ \huge{ \boxed{ \sf{16z + 12}}}}}\)
Step-by-step explanation:
\( \sf{(4z + 3) + (4z + 3) + (4z + 3) + (4z + 3)}\)
Remove the unnecessary parentheses
\( \sf{4z + 3 + 4z + 3 + 4z + 3 + 4z + 3}\)
Collect like terms
Only the coefficients of like terms can be added or subtracted
\( \sf{4z + 4z + 4z + 4z + 3 + 3 + 3 + 3}\)
\( \sf{16z + 3 + 3 + 3 + 3}\)
Add the numbers
\( \sf{16z + 12}\)
Hope I helped!
Best regards! :D
A company administers a screening test to all job applicants and decide to eliminate from consideration anyone scoring in the bottom or top 15%. If scores are normally distributed with a mean of 40 and a standard deviation of 8, what are the two scores that applicants must score in between in order to be considered for the positions?
The normal distribution illustrates that the two scores that applicants must score in between in order to be considered for the positions are 31.71 and 48.29
How to illustrate the information?Population Mean,μ = 40
Population Standard Deviation,σ = 8
X be the random variable follows normal distribution
X ~ N ( μ = 40 ,σ = 8 )
Z =(X - μ)/σ
Now
p(Z < z)= 0.15
p(Z< -1.036 )= 0.15 from z table
i.e z= -1.036
from z score formula
x = μ + zσ
= 40 + -1.036 x 8
= 31.71
and
p(Z > z)= 0.15
p(Z> 1.036 )= 0.15
(from z table )
i.e z= 1.036
From z score formula
x = μ + zσ
= 40 + 1.036 x 8
= 48.29
Therefore, the two scores are 31.71 and 48.29.
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An IQ test is designed so that the mean is 100 and the standard deviation is 15 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of the residents of a state if you want to be 95% confident that the sample mean is within 4 IQ points of the true mean.
What is the required sample size?
Answer:
55
Step-by-step explanation:
\(\displaystyle MOE = z\biggr(\frac{\sigma}{\sqrt{n}}\biggr)\\\\4=1.96\biggr(\frac{15}{\sqrt{n}}\biggr)\\\\4=\frac{29.4}{\sqrt{n}}\\\\\sqrt{n}=\frac{29.4}{4}\\\\\sqrt{n}=7.35\\\\n=54.0225\\\\n\approx55\uparrow\)
Make sure to always round up the required sample size to the nearest integer!
The cost for a salad depends on its weight, x, in ounces, and is described
by c(x) = 4.5+ 0.32x. Describe how c(x) is related to its parent function and
interpret the function in the context of the situation.
The relationship c(x) = 4.5+ 0.32x it is a linear relationship.
The factor 0.32 is used to reduce the cost of the weight before adding to the fixed cost of 4.5
Given data
c(x) = 4.5+ 0.32x
How c(x) is related to its parent functionThe relationship c(x) = 4.5+ 0.32x it is a linear relationship. It can be compared to the equation of a straight line which is
y = mx + c
m is the slope and c is the y intercept
The comparison shows that
y = c(x)
c = 4.5
m = 0.32
Interpreting the function in the context of the situationIf the cost is related with the relationship c(x) = 4.5+ 0.32x.
it can be seen that even when there is no weight or no salad that is at x = 0 the cost is c = 4.5.
This means that there is a fixed cost of 4.5 for any salad weight, in ounces bought.
The factor 0.32 is used to reduce the cost of the weight before adding to the fixed cost of 4.5.
The 0.32 is a reduction factor because the value is less than 1 and will reduce any number it multiplies.
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Julián gasta 2/5 de sus ahorros en el viaje “fin de curso” y el 25% de ellos en unos patines.
a) Si los ahorros de Julián son 140 € ¿cuánto gasta en el viaje “fin de curso”?
b) ¿Y cuánto le cuestan los patines?
c) ¿Cuántos euros le quedan a Julián?
The Julián has 0.84 euros left after making these purchases.
Given that Julián spends 2/5 of his savings on a school trip, and 25% of his savings on skates. The question is asking us to find out how much the skates cost and how much money he has left after making these purchases. Let's solve this problem step-by-step.
Part (a) is already solved as we know that Julián spends 2/5 of his savings on a school trip and 25% of his savings on skates.
Part (b) To determine how much the skates cost, we need to first find out what percentage of his savings he spent on skates. Since he already spent 2/5 of his savings, that means he has 3/5 left.
And since he spent 25% of his total savings on skates, we can set up an equation as follows:
0.25(x) = 3/5where x is his total savings.
Cross-multiplying: 0.25(x) * 5 = 3x1.25x = 3x = 3/1.25x ≈ 2.4So, his total savings would be around 2.4 euros.
Therefore, the cost of the skates is 0.25(2.4) = 0.6 euros.Part (c) To find out how much money he has left, we subtract the cost of the school trip and the skates from his total savings:
Total savings - School trip - Skates
= Money left2.4 - (2/5)(2.4) - 0.6
= Money left2.4 - 0.96 - 0.6
= Money left0.84 euros
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answer choices are
14
24
28
48
Answer: 24 square units
Step-by-step explanation:
It appears the shaded area of the rectangle is half of the rectangle's area. This means if we find the area of the rectangle and divide it by 2 we will know the area of the shaded portion.
The formula for the area of a rectangle is \(lw=A\)
Where
l is the length (8 for this)
w is the width (6 for this)
A is the area
However, since we are finding half the area we will divide lw by 2
Sub the values into the formula
\(\frac{lw}{2} =A\\\frac{(8)(6)}{2} =A\\\frac{48}{2} =A\\24=A\)
One month Pablo rented 5 movies and 3 video games for a total of $39. The next month he rented 2 movies and 12 video games for a total of 75 . Find the rental cost for each movie and each video game.
we get that the rental cost for each movie is $ 4.5 and each video game is $ 5.5.
Let the cost of number of movies be x and the cost of number of video games be y.
So, the equations are:
5 x + 3 y = 39
2 x + 12 y = 75
2 x = 75 - 12 y
x = 75/2 - 6 y
Put it in the first one, we get that:
5 ( 75/2 - 6y) + 3y = 39
375/2 - 30 y + 3 y = 39
27 y = 187.5 - 39
27 y = 148.5
y = 148.5 / 27
y = $ 5.5
x = 75/2 - 6 y
x = 37.5 - 6 (5.5)
x = 37.5 - 33
x = $ 4.5
Therefore, we get that the rental cost for each movie is $ 4.5 and each video game is $ 5.5.
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The budget for a school dance is $380.00Decorations and refreshments cost $172.00The band charges a fee of $100.00 plus an additional $35.00 per hours. What is the maximum number of hours the school can have the band play at the dance?
Answer:
2500
Step-by-step explanation:
because i know the answers
Find the smallest positive integer k such that, for every positive integer n, 6n+k is relatively prime to each of 6n+3, 6n+2, and 6n+1.
Answer:
Use Mathpapa to find your answer.
Step-by-step explanation:
It's a good, and powerful program.
1 dived by 10 equals 0.1
Answer:
Yup
Step-by-step explanation:
Answer:
Yes, 1 divided by 10 = 0.1.
Help quick!!!!!!!!!!!!
Lydia sold pumpkin seeds at the County Fair. She used a graph to document
her sales. On the graph, what point represents the unit price?
Answer:
dang it can someone pls do this
Step-by-step explanation:
Which set of rectangular coordinates describes the same location as the
polar coordinates (3-√2.37)?
4
The rectangular coordinates will be (2.999, -0.1239)
What are different Coordinate System ?The Cartesian Coordinate system is not sufficient to locate points in a plane , therefore some other systems like polar coordinates , spherical coordinates , cylindrical coordinate systems are used.
Polar coordinates are given in the question and we need to determine rectangular coordinates for the same.
The equations used to convert from polar coordinates to rectangular coordinates.
x=rcosθ
y=rsinθ
z=z
For the polar coordinates
(3-√2.37)
r = 3
\(\rm \theta \\\) = -√2.37
x = 3cos (-√2.37)
x = 3 *0.999
x =2.999
y = 3 sin.(-√2.37)
y = 3*(-0.0413)
y = -0.1239
Therefore the rectangular coordinates will be (2.999, -0.1239)
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PLEASE HELP DOING PLATO!!! AABC transforms to produce AA'BC. Which transformation did NOT take place?
Answer:
Option D
Step-by-step explanation:
From the picture attached,
Coordinates of point C → (1, 3)
Coordinates of point C'→ (-1, -3)
Option A.
rotation 180° counterclockwise about the origin.
Rule for the rotation is,
(x, y) → (-x, -y)
By this rule,
C(1, 3) → C'(-1, -3)
True
Option (B)
Reflection across the origin
Rule for the reflection is,
(x, y) → (-x, -y)
By this rule,
C(1, 3) → C'(-1, -3)
True
Option C
Rotation 180° clockwise about the origin
Rule for the rotation is,
(x, y) → (-x, -y)
By this rule,
C(1, 3) → C'(-1, -3)
True.
Option D
Reflection across the line y = -x
Rule for the reflection,
(x, y) → (-y, -x)
By this rule,
C(1, 3) → C'(-3, -1)
False.
Therefore, Option D will be the answer.
The volume of a cylinder is 1225π cm. The height of the cylinder is 25 cm. What is the radius of the cylinder?
Answer:
Volume of cylinder = pi r^2 h
1225 pi = pi×r^2×25
r^2= 1225/25=49
so, r= 7 cm
Mika is a local farmer who is interested in how often residents in her town go to a farmer's market each month. She surveys 124 families and finds that, on average, those families visit a farmers' market 4.2 times per month with a sample standard deviation of 1.3. If Mika wants to be 99% confident (z=2.58) using this sample, what should her margin of error be and what does it mean?
Answer:
The margin of error is of 0.3012, and it means that we should be 99% confident that the population mean would be within 0.3012 of the sample mean.
Step-by-step explanation:
Margin of error
\(M = z\frac{\sigma}{\sqrt{n}}\)
In which \(\sigma\) is the standard deviation and n is the size of the sample.
Standard deviation of 1.3
This means that \(\sigma = 1.3\)
She surveys 124 families
This means that \(n = 124\)
Margin of error and meaning:
\(M = z\frac{\sigma}{\sqrt{n}}\)
\(M = 2.58\frac{1.3}{\sqrt{124}}\)
\(M = 0.3012\)
The margin of error is of 0.3012, and it means that we should be 99% confident that the population mean would be within 0.3012 of the sample mean.
Find how much money needs to be deposited now into an account to obtain $1,200 (Future Value) in 15 years if the interest rate is 7% per year compounded monthly (12 times per year).
\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 1200\\ P=\textit{original amount deposited}\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &15 \end{cases}\)
\(1200 = P\left(1+\frac{0.07}{12}\right)^{12\cdot 15} \implies 1200=P\left( \frac{1207}{1200} \right)^{180} \\\\\\ \cfrac{1200}{ ~~ \left( \frac{1207}{1200} \right)^{180} ~~ }=P\implies 421.21\approx P\)
Need help please and thank you have a nice day
Answer:
106 is the correct answer
the states of nature are defined so that they are which of the following, meaning that at least one state of nature must occur at a given time for a chance event? mutually exclusive optimistic outcomes collectively exhaustive certain events
The states of nature must be mutually exclusive and collectively exhaustive.
The states of nature in decision theory are defined as mutually exclusive and collectively exhaustive, meaning that they are the only possible outcomes of a chance event, and only one of them can occur at a given time.
In other words, the states of nature represent all the possible outcomes of a chance event, and they are mutually exclusive because they cannot occur simultaneously. For example, if the states of nature are "rain" and "no rain," then either it will rain or it will not rain at a given time, but not both.
The term "collectively exhaustive" means that the set of states of nature includes all possible outcomes, so that there are no other possibilities beyond the ones listed. This ensures that the decision maker has considered all possible outcomes when making a decision.
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help please i got absolutely no clue how to solve this
Answer:
A)
Step-by-step explanation:
To complete the square, we need to find such p and q that:
r^2 - 12r - 27 = (r - p)^2 - q = r^2 - 2pr + h^2 - q
Because we know that 2pr = 12r, then p = 6
(r - p)^2 - q = (r - 6)^2 - q = r^2 - 12r + 36 - q
We know that 36 - q = -27, so q = 36+27 = 63
Now we can solve for = 0
(r - 6)^2 - 63 = 0
(r - 6)^2 = 63
r - 6 = √63 or r - 6 = -√63
r = 6 + √63 = 6 + 3√7 or r = 6 - √63 = 6 - 3√7
the volume of a cylinder is 196x in. 3 and the hight of the cylinder is 1 in. what is the radius of the cylinder
The radius of the cylinder is 7. 9 in
How to determine the radiusFirst, we need to know the formula for volume of a cylinder
The formula for calculating the volume of a cylinder is expressed as;
V = πr²h
Such that the parameters of the formula are expressed as;
V is the volume of the cylinderr is the radius of the cylinder h is the height of the cylinderFrom the information given, we have that;
Substitute the values
196 = 3.14 × 1 × r²
Divide both sides by the values
r² = 62. 42
Find the square root of both sides
r = 7. 9 in
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As an agricultural research assistant, you often need to calculate the amount of pesticide needed for test fields. For each acre, b pounds of pesticide are required. Which of the following equations gives the amount of pesticide, P, in pounds, required for a field of area a square feet? O A. P = (a + b) ÷ 43,560 P = (a + b) = 43, 560 P = (a + b) × 43, 560 D. P = (a x b) ÷ 43, 560 P = (a x b) x 43,560 B. C. E.
The correct equation is P = (a x b) ÷ 43, 560
What is equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
Given that, an agricultural research assistant, you often need to calculate the amount of pesticide needed for test fields.
For each acre, b pounds of pesticide are required.
1 acre = 43,560 ft²
Pesticide needed for each acre = b / 43,560
Pesticide needed for the given area = 43,560 (a x b)
Therefore,
P = 43,560 (a x b)
Hence, the correct equation is P = (a x b) ÷ 43, 560
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12. The calculation of property tax is based on the
The tax revenue generated from property taxes is often used to fund expressions public services such as schools, parks, and infrastructure projects in the local community.
what is expression ?In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the expression 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +. The calculation of property tax is typically based on the assessed value of the property and the tax rate set by the local government. The assessed value is determined by a government-appointed assessor who evaluates the value of the property based on factors such as its location, size, age, and condition. The tax rate is then applied to the assessed value to determine the amount of tax owed by the property owner. The tax revenue generated from property taxes is often used to fund public services such as schools, parks, and infrastructure projects in the local community.
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A vending machine automatically pours soft drinks into cups. The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.5 ounces and standard deviation of 0.5 ounces. Examine the figure below and answer the following questions.
a.) Estimate the probability that the machine will overflow an 8-ounce cup. (Round your answer to two decimal places.)
b.) Estimate the probability that the machine will not overflow an 8-ounce cup. (Round your answer to two decimal places.)
c.) The machine has just been loaded with 300 cups. How many of these do you expect will overflow when served?
The machine has just been loaded with 850 cups. How many of these do you expect will overflow when served?
0.1587*850 = 134.857..
How to solveA vending machine automatically pours soft drinks into cups.
The amount of soft drink dispensed into a cup is normally distributed with a mean of 7.6oz and a standard deviation of 0.4oz.
Examine figure 7.- and answer the following questions.
a) estimate the probability that the machine will overflow an 8oz cup.
Procedure:
Determine the z-score for 8
z(8) = (8-7.6)/0.4 = 0.4/0.4 = 1
P(x>8) = P(z>1) = 0.1587..
-----------------------
b) Estimate the probability that the machine will not overflow an 8oz cup.
P(z<1) = 1 - 0.1587 = 0.8413..
-----------------
c) the machine has just been loaded with 850 cups. How many of these do you expect will overflow when served?
0.1587*850 = 134.857..; Rounded down you get 134 cups
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11. Martin's suitcase has a volume of 1,080 cubic inches. Lily's suitcase measures 9 inches wide, 13 inches long, and 21 inches high. What is the combined volume of the two suitcases?
Answer: 3,348 cubic inches
Step-by-step explanation:
1. Since we know that volume= length x width x height, then we can plug our values into this equation.
2. So, we would do volume= 9 x 12 x 21.
3. 9 x 12 = 108, and 108 x 21 =2,268.
4. Now that we have both of the volumes, we have to add them together.
5. 1,080 + 2,268 = 3,348
6. The combined volume is 3,348 cubic inches.
I WILL LOVE YOUR FOR EVER IF YOU DID THIS BORING STUFF(TRY THESE C)
Answer:
12^2
1/3^2
3.25^2
(^2 means squared btw)
Answer:
Add the number such as 12 to the power of two.
Step-by-step explanation:
If you look at the introduction on the top you would see that it explains it, but you just add to the power of 2 to the number that it is shown.