From the given choices, we get:
No. People generally favor some numbers over others so that they don't select numbers with a process that is truly random.
The correct option is D.
What is simulation?A computer experiment in which you can select a random sample from the given probability distributions is called a simulation.
Given:
A student wants to simulate 28 birthdays,
but she does not have a calculator or software program available,
so she makes up 28 numbers between 1 and 365.
By comparing with the definition:
From the given choices, we get,
D. No. People generally favor some numbers over others so that they don't select numbers with a process that is truly random.
Hence, D is the correct option.
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Colton's gross pay is $1421.50 and his net pay is $973.48.
What percent of his gross pay is take-home pay?
31.5%
44.8%
46%
68.5%
68.5% of Colton's gross pay is take-home pay. To find the percentage of Colton's gross pay that is take-home pay, we need to divide his net pay by his gross pay and then multiply by 100 to convert the resulting decimal to a percentage.
To find the percentage of Colton's gross pay that is take-home pay, we need to divide his net pay by his gross pay and multiply the resulting decimal by 100 to express it as a percentage. Colton's gross pay is $1421.50 and his net pay is $973.48. Dividing the net pay by the gross pay gives a result of 0.685, or 68.5% when converted to a percentage. This means that 68.5% of Colton's gross pay is take-home pay, or the amount of money that he receives after deductions are made. Therefore, Colton's take-home pay is $973.48, which is 68.5% of his gross pay.
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What number is exactly halfway between 61 and 547?
Answer:
304
Step-by-step explanation
it was on my quiz
Answer:
The number 304 is exactly halfway between 61 and 547.
Step-by-step explanation:
To find the halfway point between two given numbers we can simply add them together then divide them by 2.
Note:
let [tex]N[/tex] be the number that is halfway
[tex]N=\frac{547+61}{2}[/tex]
[tex]N=\frac{608}{2}[/tex]
[tex]N=304[/tex]
Find the value that makes the proportion true
5/6= ?/180
Answer:
150
Step-by-step explanation:
5/6= ?/180
We can use cross-products to solve.
5 * 180 = 6 * ?
Divide each side by 6.
5 * 180/6 = ?
5 * 30 = ?
150
The missing number is 150.
Answer:
150/180
Step-by-step explanation:
Solution by Cross Multiplication;
The equation:
[tex]\frac{5}{6} = \frac{x}{180}[/tex]
The cross-product is:
5(180) = 6(x)
Solving for x:
x = [tex]\frac{5(180)}{6} \\[/tex]
x = 150
Robert tutors two students, Andy and Sue. Andy pays robert $70 per month. Sue pays $50 per month how many months will Robert have to tutor until he earns $600?
Answer: 5 Months
Step-by-step explanation:
Alright, we know he will make $120 a month (since 50 + 70 = 120)
(Let's have months=m)
So now we need to figure out for how many months (m) will he need to get to $600.
We know 120 a month so we can get the equation: 120m=600
Now all we have to do is solve for m
Divide both sides by two to get m=5
Checking Answers
70(5)=350
50(5)=250
250+350=600
So this solution works.
Answer: 5 months
Step-by-step explanation: so, what you have to do is add up 120 5 times so in total you will have 600 so the answer is 5 months.
Find b and then solve the equation
2x^2+bx-10=0 if one of its roots is 5
well, since we know that one root is 5, that is a factor of it is (x-5), so hmmm by the remainder theorem we also know that if we plug "5" as our argument in our f(x), that is, if we do f(5), it must result to 0. so f(5) = 0, if that's so then
[tex]2x^2+bx-10=f(x)\implies 2(5)^2+b(5)-10=f(5) \\\\\\ 2(5)^2+b(5)-10=0\implies 50+5b-10=0\implies 5b=-40 \\\\\\ b=\cfrac{-40}{5}\implies \boxed{b=-8} \\\\[-0.35em] ~\dotfill\\\\ 2x^2-8x-10=0\implies 2(x^2-4x-5)=0\implies 2\stackrel{ {\Large \begin{array}{llll} x=-1 \end{array}} }{(x+1)}(x-5)=0[/tex]
one way that researchers study the effects of trans fats on people's health is by setting up controlled experiments. for example, in an experimental feeding trial, participants agree to stick to specific diets that the researchers prescribe. in this case, the researchers might vary the proportions of saturated, unsaturated, and trans fats in the diet of each participant. throughout the study, the health status of the participants is monitored closely. suppose that you are a researcher designing an experimental feeding trial. how would you set up your study and what limitations would you face? drag the labels onto the flow chart to identify the elements and limitations of your experimental design.
The steps to set up the study and the limitations that would be faced are explained below .
The Steps to setup the study are :
(i) Recruit a large and diverse group of participants who are willing to stick to the prescribed diets for the duration of the study.
(ii) Divide the participants randomly into two or more groups. One group would be given a diet high in trans fats, and the other group(s) would be given a diet low in trans fats.
(iii) Monitor the health status of the participants closely throughout the study .
(iv) At the end of the study, compare the health outcomes of the different groups of participants to determine whether there is a significant difference in health outcomes .
The Limitations of this type of study include :
⇒ the difficulty of controlling all aspects of participants' diets, since participants may consume other foods outside of what is provided to them.
⇒ the study may not be long enough to detect long-term effects of trans fats on health.
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The given question is incomplete , the complete question is
One way that researchers study the effects of trans fats on people's health is by setting up controlled experiments. For example, in an experimental feeding trial, participants agree to stick to specific diets that the researchers prescribe. In this case, the researchers might vary the proportions of saturated, unsaturated, and trans fats in the diet of each participant. Throughout the study, the health status of the participants is monitored closely.
Suppose that you are a researcher designing an experimental feeding trial. How would you set up your study and what limitations would you face ?
Sam asked 15 of his friends what they thought about the pizza they just had, is this a random or biased sample
The sample taken by Sam is Biased sampling.
What is Random sample?A subset of a population is chosen at random in a basic random sampling. Each person in the population has an exact equal probability of getting chosen using this sampling technique.
Given:
Sam asked 15 of his friends what they thought about the pizza they just had.
Sam here chooses his friend that means the people are selective already.
He already chooses the people which were known to him.
So, the selection here is biased sample.
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Help ASAP! PLEASE HELP ME!
The solution is Option A.
The conversion factor should have gallons in the denominator and the equation will be 350 gallons = 92.3 L
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the amount of gallons of water be = 350 gallons
And , 1 gallon = 3.79 liters
So , the amount of 350 gallons = ( 350 ) x ( 1/3.79 ) L
Substituting the values in the equation , we get
The amount of 350 gallons = ( 350 / 3.79 ) L
On simplifying the equation , we get
The amount of 350 gallons = 92.3 L
Therefore , while converting the gallons to liters , the factor of gallons should be in the denominator
Hence , the equation is 350 gallons = 92.3 L
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Question 4 of 10
Given the inequalities y> 3x-1 and y<-2x+ 1 graphed on the same
coordinate grid, which of the following statements are true? Check all that
apply.
A. The line for y=-2x+1 will be solid.
B. Shading will be below the y=-2x+ 1 line and below the y= 3x - 1
line.
C. Shading will be above the y=-2x+1 line but below the y= 3x-1
line.
D. None of the above
SUBMIT
Answer:
Step-by-step explanation:
The correct answer is C. Shading will be above the y=-2x+1 line but below the y= 3x-1 line.
The line y=-2x+1 is a line with a slope of -2 and a y-intercept of 1. It represents the solutions that are greater than -2x+1.
The line y=3x-1 is a line with a slope of 3 and a y-intercept of -1. It represents the solutions that are less than 3x-1.
So, when you graph both of these lines on the same coordinate plane, the solutions that satisfy both inequalities will be the region that is above the line y=-2x+1 but below the line y=3x-1, and this is the region that will be shaded.
A kangaroo hopped 3,5203,5203, comma, 520 yards to the lake with her baby in her pouch. She hopped the remaining 5,2805,2805, comma, 280 yards without her baby in her pouch.
How many miles did the kangaroo hop to the lake?
Answer:
so im a little confused 3,5203,5203, is not a proper number and there is not enought yards to make a full mile could you reword it?
Step-by-step explanation:
prove, that 32^5-16^5+2^19 is divisible by 63 help asap
ill award brainlist
Step-by-step explanation:
Use PEMDAS (Order of operations).
Simplify exponents
33554432 - 1048576 + 54288
Add and subtract (left to right)
33030144
63 goes into 33030144 524288 times.
Answer:
2^19(63)
Step-by-step explanation:
(2^5)^5-(2^4)^5+2^19
2^25-2^20+2^19
2^19(2^6-2+1)
2^19(64-2+1)
2^19(63)
Simplify.
(5x-2+3x²)+(4x+3)
O 3x² +9x-1
O 12x4 +1
O 3x²+x+5
O 3x² +9x+1
Answer:
3x² + 9x + 1
Step-by-step explanation:
5x - 2 + 3x² + 4x + 3
= 9x - 2 + 3x² + 3
= 9x + 1 + 3x²
= 3x² + 9x + 1
Discussion topic
read this article discussing the value of specific polling results in us presidential elections.
your thoughts about the
article, in particular, comment about what surprised you or what you
thought might be interesting to understand more deeply. Also comment about any
statistical
discussion or information that you are now better able to understand because of your
background in statistics.
give
Overall, the article has given me a deeper appreciation for the role that statistics plays in the political landscape.
One statistical discussion that stood out to me was the concept of margin of error. This is a measure of the accuracy of a poll and is calculated by taking into account the sample size and the variability in responses. I now have a better understanding of how pollsters use this measure to determine the reliability of their results.
Additionally, the article highlighted the importance of understanding statistical significance, which refers to the likelihood that a particular result occurred by chance. This is an essential concept in statistics that helps to determine whether a particular result is reliable or not.
It has also emphasized the need to interpret polling data with caution and to be mindful of the potential for errors and biases.
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What shows the number of each type of greeting card at a gift shop had remaining at the end of the year the store created bags with 15 random cards in each bag how many complete bags of cards were they able to make
Using the unitary method, we find that the store created approximately 37 bags with 15 random cards in each bag.
This problem can be solved using the unitary method. It is given that the
number of Anniversary cards is 163,
number of Birthday cards is 258,
number of Get Well cards is 98
and the number of Thank you cards is 47
So, the total number of cards will be equal to the sum of all these cards, that is,
163+258+98+47
= 566 cards
To create bags of 15 random cards, we have to divide the total number of cards by 15 which gives,
566/15 = 37.734
Thereby, we can say that the store created approximately 37 bags with 15 random cards in each bag.
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Boat
Boat A
Boat B
Cost
$2400
$2800
< Previous
Miles Per Gallon
(MPG)
15
18
Estimated Repairs
$600
$250
Stephanie wants to compare the total cost of buying and using these boats on her local lake.
Stephanie estimates she will drive the boat at least 40 miles per month.
The average cost of gasoline per gallon in her city is $3.89.
• Stephanie plans on owning the boat for 3 years.
Which boat will cost Stephanie the least to buy and use? How much will the difference in cost be?
Boat A will cost less for Stephanie. The difference in cost will be $400.
Boat B will cost less for Stephanie. The difference in cost will be $12.24
Boat A will cost less for Stephanie. The difference in cost will be $12.24.
O Boat B will cost less for Stephanie. The difference in cost will be $400.
The boat that will cost Stephanie less to buy and use is boat B, and the difference between the cost is $11.7.
How much will each boat cost?Let's calculate first the cost of each boat:
Boat A
cost + repairs + gasoline for 3 years= total cost
2400 + 600 + gasoline cost
gasoline cost = 40 / 15 = 2.66 gallons per month x 36 = 95.76 X 3.89 = 372.5
2400 + 600 + 372.5 = 3,372.5
Boat B
cost + repairs + gasoline for 3 years= total cost
2800 + 250 + gasoline cost
gasoline cost = 40 / 18 = 2.22 gallons per month x 36 = 79.92 X 3.89 = 310.88
2800 + 250 + 310.88 = 3,360.88
Difference: 3,372.5 - 3, 360.88 = 11.7
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Riley is training to compete in a marathon, following a training plan recommended by her favorite running podcast. She plans to run 12 miles in her first week of training and will increase her mileage by about 10% each week after.
Write an exponential equation in the form y=a(b)x that can model Riley's target mileage per week, y, x weeks after she starts training.
Use whole numbers, decimals, or simplified fractions for the values of a and b
The exponential function that shows Riley's target mileage is y = 12(1.1)ˣ
What is an equation?An equation is an expression that shows how numbers and variables are linked together using mathematical operations such as addition, subtraction, multiplication and division.
The standard exponential equation is:
y = abˣ
where b is the rate of change and a is the initial value.
Let y represent Riley target mileage x weeks after she starts training.
She plans to run 12 miles in her first week of training and will increase her mileage by about 10% each week after. Hence:
a = 12; b = 100% + 10% = 110% = 1.1
The exponential function is y = 12(1.1)ˣ
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we now are using two z score formulas. the denominator is the standard deviation on the first one we learned. the denominator is the standard error on the second one we learned. how do you know which z score formula to use? g
The choice between using the standard deviation and standard error in the denominator of a z-score formula depends on the context of the problem and the type of data being analyzed.
To determine which z-score formula to use, consider the type of data and the context of the problem. If you have a sample with a known population standard deviation, use the first formula. If the data represents a random sample of a larger population, the standard error is typically used to account for the variability in estimating the population mean. On the other hand, if the data represents the entire population, the standard deviation is used as the denominator. It's important to understand the distinction between a sample and a population and to choose the appropriate formula accordingly.
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I hate math why is this necessary
Answer:
3
Step-by-step explanation:
Slope = rise/ run = change in y / change in x = 3 / 1 = 3
this is VERY necessary in all of the engineering and physics worlds of which you have yet to be acquainted...... these fields enable you to have a smart phone, a car, a bank account, a computer , rockets etc.
In circle M with m/LMN = 84 and LM = 13 units find area of
sector LMN. Round to the nearest hundredth.
Answer:
123.88 square units
Step-by-step explanation:
r = radius of circle
= radius of sector
= Length of LM
= Length of MN
= 13 units
When the angle is measured in degrees:
Area of a sector: [tex]\frac{Angle OfSector}{360^{o}}[/tex]× [tex]\pi r^{2}[/tex]
= [tex]\frac{84}{360}[/tex]×[tex][\pi (13)^{2}][/tex]
= 123.883 [tex]units^{2}[/tex]
= 123.88 square units (Rounded to the nearest hundredth)
B =
Round your answer to the nearest hundredth.
B
?
CT
5
4
A
C
3
Answer:answer
Step-by-step explanation:because
AQRS is an isosceles triangle. Complete the statement that explains whether RT is the height of the triangle.
√85 cm.
Q
R
11 cm
T 6 cm S
Since 62+(√85)
height of AQRS.
112, RT
is
is not
the
In the triangle QRS the sum of square of 6 and square root of 85 is equal to 11 and RT is height.
What is triangle ?
Triangle can be defined in which it consists of three sides , three angles and sum of three angles is always 180 degrees.
Given ,
AQRS is an isosceles triangle. Complete the statement that explains whether RT is the height of the triangle.
So, from the given triangle we can say that ,
[tex]6^{2}[/tex] + [tex]\sqrt{85 }^2[/tex] = [tex]11^{2}[/tex]
By the pythagorean theorem , we can say that ,
the sum of squares of base and opposite side is always equals to square of hypothenuse.
so it is equal to square of 11 and RT is height.
Therefore, in the triangle QRS the sum of square of 6 and square root of 85 is equal to 11 and RT is height.
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an art teacher hhd 2/3 gallon of paint to pour into containers. If he poured 1/8 gallon of paint into each container until he ran out of paint how many containers hhd paint in them including the one that was partially filled
Answer: 6 containers
Step-by-step explanation:
Fraction division.
2/3 divided by 1/8.
Keep-change-flip. (or a similar method for dividing fractions)
2/3 times 8/1 is 16/3.
He will fill 5 and 1/3 containers, so 6 containers will have paint in them.
(っ◔◡◔)っ ♥
Hope this helps.
MM4343
What percentage of K25 is 25t
The percentage K 25 that is 25 t, can be found to be 1 % .
How to find the percentage ?The relationship between K and t is such that 1 K has 100 t.
This means that K 25 in terms of t, would be:
= 25 x 100
= 2, 500 t
The percentage of K that is 25 t is therefore :
= 25 / 2, 500
= 1 / 100
= 0. 01
= 1 %
In conclusion, when given the values K 25 and 25 t, then 25 t would be 1 % of K 25.
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There were 50 guests in a marriage ceremony. 30 were from the groom's family and 20 were from the brides's family. There's a tradition of giving hugs among the groom's family although there's no such traditions in the bride's family. They only shake hands. what's the number of total handshakes?
Note that the members from the bride's family will shake hands with the groom's family too.
Answer:
1020 handshakes including the bride and the groom. 980 excluding the groom and the bride.
Step-by-step explanation:
(20*19) twenty people on the brides side shake hands with the other 19 people (19 because you can't really shake your own hand).
+(20*30) twenty people on the brides side shake hand with 30 people on the grooms side.
+(20*2) twenty people on the brides side shake hands with the bride and the groom.
this equalssss......
1020!!!!
Since the grooms family does hugs instead of handshakes, you'd only calculate how many the brides side does.
Select a two-digit number whose 1st digit it 0,1,2,3, or 4, and whose 2nd digit is 5,6,7,8, or 9.
In 25 ways we can select 2-digit number from the given digits.
What is the Permutations?Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.
Given that, a two-digit number whose 1st digit it 0,1,2,3, or 4, and whose 2nd digit is 5,6,7,8, or 9.
Number of ways selecting 1st digit is
P(5, 1) = 5!/(5-1)!
= 5
Number of ways selecting 2nd digit is
P(5, 1) = 5!/(5-1)!
= 5
Now, 5×5=25
Therefore, in 25 ways we can select 2-digit number.
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what is -2x+4=-6x-17
If 8x+1=64, what is the value of 3²x+1 ?
Answer: 27
Step-by-step explanation:
8^x+1 = 64
8^x+1 = 8²
x+1 =2
x = 2 - 1
x = 1
To Find :
3^2x +1
Substitute the value of x :
3^2(1)+ 1
3^2+1
3^3
27
Problem Combine the like terms to create an equivalent expression: − 5 r + 8 r + 5
Answer: -5r+8r+5=3r+5
Step-by-step explanation:
First add like terms, so -5r and 8r. For a second lets pretend the r doesn't exist. So, what is -5 + 8, 3, so 3r. Since 3r and 5 cannot be combined, the equivalent expression is 3r+5.
Triangles PQR and XYZ are equilateral triangles. The sides of PQR are
5 inches long. One side of XYZ is (2x - 3) inches. What value of x
makes the triangles congruent?
Answer:
x = 4
Step-by-step explanation:
2x - 3 = 5 Add 3 to each side
2x - 3 + 3 = 5 + 3
2x = 8 Divide both sides by 2
[tex]\frac{2x}{2}[/tex] = [tex]\frac{8}{2}[/tex]
x = 4
Need help with this for school
Answer: 135
Step-by-step explanation:
Counting by 5 The last point at the end of the box and whisker plot is 135
