well, if a value goes from 88 to 20, it clearly decreased, hmmm 88 - 20 = 68, by 68 units.
so if we take 88(origin amount) to be the 100%, what's 68 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 88 & 100\\ 68& x \end{array} \implies \cfrac{88}{68}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 22 }{ 17 } ~~=~~ \cfrac{ 100 }{ x }\implies 22x=1700\implies x=\cfrac{1700}{22}\implies x\approx 77.3[/tex]
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:
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.
A rectangle is 3/4 of a feet long and 5/12 of a feet wide. What fraction represents the area of the rectangle
The area of the rectangle can be expressed as a fraction by multiplying 3/4 and 5/12. The answer is 5/16, which represents the area of the rectangle.
1. Multiply the length and width of the rectangle: 3/4 x 5/12 = 15/48
2. Reduce the fraction to its simplest form: 15/48 = 5/16
3. The answer is 5/16, which represents the area of the rectangle.
To find the area of a rectangle, you need to multiply the length and width of the rectangle together. In this case, the rectangle is 3/4 of a foot long and 5/12 of a foot wide. To express the area as a fraction, you need to multiply the two fractions together. 3/4 x 5/12 = 15/48. Since 15 and 48 have a common factor of 3, the fraction can be reduced to its simplest form, 5/16. Therefore, the area of the rectangle can be expressed as 5/16. This fraction represents the area of the rectangle.
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The complete question is
A rectangle is 3/4 of a feet long and 5/12 of a feet wide. What fraction represents the area of the rectangle of a feet wide.
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
simplify (4x+5y)(2x-3y)+3xy
Answer: 8x^2 + xy - 15y^2
Step-by-step explanation:
first do the FOIL method than add 3xy to the equation after
Answer:
[tex]8x^2+xy-15y^2[/tex]
Step-by-step explanation:
[tex](4x+5y)(2x-3y)+3xy\\\\=(4x)(2x)+(4x)(-3y)+(5y)(2x)+(5y)(-3y)+3xy\\\\=8x^2-12xy+10xy-15y^2+3xy\\\\=8x^2+xy-15y^2[/tex]
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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**EASY POINTS** There is a circular running path in the park. The diameter of the circle is 350 m. What is the length of one lap around the park?
Answer:
1099
Step-by-step explanation:
350*pi=1099
10.a jar of 70 candies has the following colors: 28 orange, 7 white, 14 brown, and 21 yellow.what is the probability of randomly drawing a candy that is not brown, replacing it, and then drawing a white candy?
The probability of randomly drawing a candy that is not brown, replacing it, and then drawing a white candy is 0.08, or 8%.
There are 70 sweets in the jar, 14 of which are brown, hence the likelihood of getting a candy that is not brown on the first draw is:
(70 - 14) / 70 = 56 / 70 = 0.8 P(not brown)
The jar still has 70 candies after replacing the candy, and there are now 7 white candies. As a result, the likelihood of drawing a white candy on the second draw is:
P(white) = 0.1 / 70
Because the two drawings are independent (the first candy is replaced before the second), we can multiply the odds to get the likelihood of both events occurring:
P(not brown and white) = P(white) * P(not brown) = 0.8 * 0.1 = 0.08
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1. What must the values of a and b be for PQRS to be a parallelogram?
2. The diagonals of parallelogram ABCD intersect at P. Select all the statements that must be true.
The value of a and b are; a = 2, b = 4
What is a parallelogram?That quadrilateral in which opposite sides are parallel is called a parallelogram.
Given that the diagonals of parallelogram ABCD intersect at P.
4a + b = 2a + 8
4a - 2a + b = 8
2a + b = 8 -----------------(I)
b = 8 - 2a
11b - 10a = 6b
11b - 6b -10a = 0
5b - 10a = 0 ---------(II)
Substitute b = 8 - 2a in equation (II)
5(8-2a) - 10a = 0
40 - 10a - 10a = 0
40 - 20a = 0
-20a = - 40
a = -40/-20
a = 2
Plugin a = 2 in equation (I)
b = 8 -4
b = 4
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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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choose the best data type for each of the following so that any reasonable value is accommodated but no memory storage is wasted. give an example of a typical value that would be held by the variable, and explain why you chose the type you did.
a. The best data type for the number of siblings would be an integer.
An example of a typical value for this variable would be 3, as someone might have 3 siblings. An integer is the best data type because the number of siblings is a whole number and can never be a fraction or a negative number.
b. The best data type for the final grade in this class would be a floating-point number. An example of a typical value for this variable would be 85.5, as a final grade may include decimal points. A floating-point number is the best data type because a final grade can have a decimal point and may include fractions.
c. The best data type for the population of Earth would be a long integer. An example of a typical value for this variable would be 7,794,798,739, as of the year 2020. A long integer is the best data type because the population of Earth is a large number and cannot be expressed using a regular integer.
d. The best data type for the population of a U.S. county would be an integer. An example of a typical value for this variable would be 100,000, as the population of a county can vary greatly. An integer is the best data type because the population of a county is a whole number and can never be a fraction or a negative number.
e. The best data type for the number of passengers on a bus would be an integer. An example of a typical value for this variable would be 20, as a bus can carry a varying number of passengers. An integer is the best data type because the number of passengers on a bus is a whole number and can never be a fraction or a negative number.
f. The best data type for one player's score in a Scrabble game would be an integer. An example of a typical value for this variable would be 45, as a score in Scrabble is calculated in whole numbers. An integer is the best data type because a score in Scrabble is a whole number and can never be a fraction or a negative number.
g. The best data type for one team's score in a Major League Baseball game would be an integer. An example of a typical value for this variable would be 7, as a team's score is calculated in whole numbers. An integer is the best data type because a team's score is a whole number and can never be a fraction or a negative number.
h. The best data type for the year a historical event occurred would be an integer. An example of a typical value for this variable would be 1776, as the year the United States declared independence. An integer is the best data type because a year is a whole number and can never be a fraction or a negative number.
i. The best data type for the number of legs on an animal would be an integer. An example of a typical value for this variable would be 4, as many animals have four legs. An integer is the best data type because the number of legs an animal has is a whole number and can never be a fraction or a negative number.
j. The best data type for the price of an automobile would be a floating-point number. An example of a typical value for this variable would be $25,000.50, as a price for a car can include decimal points. A floating-point number is the best data type because the price of a car can have a decimal point and may include fractions.
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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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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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is this true or false? 1 half n (n space plus log space n )space element of space omicron (n squared )true false
The statement is false.
O(nlogn), commonly known as loglinear complexity, denotes that n times will be required to perform logn operations.
The term "1 half n (n space plus log space n )space" is equivalent to O(n log n) which is a class of functions that grow asymptotically no faster than n log n.
On the other hand, the term "omicron (n squared)" is equivalent to o(n^2), which is a class of functions that grow asymptotically slower than n^2.
As a result, it is untrue to say that there is a single half-n (n space plus log n)space element in the omicron (n squared) space.
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Ann spent 50% of her allowance on food 30 % of it on stationary and saved the remaining amount her allowance was $15 how much money did she save
At the end, Ann saves a total amount of 3 dollars according to the money she spent and on allowance according to the percentages.
Total Allowance of Ann = 15 dollars
Spent on food by Ann = [tex]\frac{15}{100}[/tex]*50
On food = 50 × [tex]\frac{15}{100}[/tex] = 7.5 dollars
Spent on stationary = 30% of Allowance
On stationary = 30 X[tex]\frac{15}{100}[/tex] = 4.5 dollars
Therefore, Money saved by Ann = Total Allowance - Money spent
Money saved = 15 dollars - 7.5 dollars - 4.5 dollars = 15-(7.5+4.5) dollars
Money saved = 3 dollars
Therefore, money saved by Ann is 3 dollars.
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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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The ratio of the sides of a triangle are 3:5:12. If the perimeter of the triangle is 100 units, determine the length of the shortest side.
The measure of the length of the shortest side will be 15 units.
What is a ratio?If b is not equal to 0, an ordered pair of numbers a and b, denoted as a / b, is a ratio. How frequently one value contains or is contained within another is shown by the numerical connection between the two values.
Given that the perimeter of the triangle is 100 and the ratio of the sides of the triangle is 3:5:12.
The length of the shortest side will be calculated as:-
3x + 5x + 12x = 100
20x = 100
x = 20
Length = 3x
Length = 3 x 5 = 15 units
Hence, the shortest side will be 15 units.
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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.
Question : find the exact answer for the following. Then round off the first number to 100 places and the second to 10 places and estimate the answer, mention if the answer is reasonable or not.
A) 145.86 + 79.6
B) 2450.21 - 599.36
C) 922.58 - 398.99
D) 2351.85 + 89
A) 145.86 + 79.6 = 225.46
Rounding off the first number to 100 places, 145.86 becomes 145.86000
Rounding off the second number to 10 places, 79.6 becomes 79.60000
So the rounded answer is 145.86000 + 79.60000 = 225.46000
Estimated answer: 225
The answer is reasonable.B) 2450.21 - 599.36 = 1851.05
Rounding off the first number to 100 places, 2450.21 becomes 2450.21000
Rounding off the second number to 10 places, 599.36 becomes 599.36000
So the rounded answer is 2450.21000 - 599.36000 = 1851.05000
Estimated answer: 1850
The answer is reasonable.C) 922.58 - 398.99 = 523.59
Rounding off the first number to 100 places, 922.58 becomes 922.58000
Rounding off the second number to 10 places, 398.99 becomes 398.99000
So the rounded answer is 922.58000 - 398.99000 = 523.59000
Estimated answer: 523
The answer is reasonable.D) 2351.85 + 89 = 2440.85
Rounding off the first number to 100 places, 2351.85 becomes 2351.85000
Rounding off the second number to 10 places, 89 becomes 89.00000
So the rounded answer is 2351.85000 + 89.00000 = 2440.85000
Estimated answer: 2440
The answer is reasonable.
Question in picture! Thanks
Answer:
Step-by-step explanation:
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
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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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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Which graph represents the solution to the inequality −0.25 is greater than or equal to the product of a number and −0.5?
number line with a closed circle on 0.5 with an arrow shaded right
number line with an open circle on point on negative 0.5 with an arrow shaded left
number line with a closed circle on negative 2 with an arrow shaded right
number line with an open circle on 2 with an arrow shaded left
As we can see from graph for given linear inequality -0.25≥-0.5x, the graph will be a number line with a closed circle on 0.5 with an arrow shaded right.
What exactly are linear inequalities?
Inequality is a mathematical statement in which neither side is equal. In Math, an inequality occurs when a connection produces a non-equal comparison between two expressions or two integers. The equal sign "=" in the phrase is substituted by any of the inequality symbols, such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), or not equal to symbol (≠). In mathematics, there are three types of inequalities: polynomial inequalities, rational inequalities, and absolute value inequalities.
The symbols "< and '>' represent severe inequalities, whereas ‘≤’ and ‘≥’ represent slack inequalities. A linear inequality appears to be the same as a linear equation, however there is a difference.
Now,
Given linear inequality is -0.25≥-0.5x
0.25≤0.5x
1/4≤1/2x
x≥1/2
hence,
graph will be a number line with a closed circle on 0.5 with an arrow shaded right.
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Triangle NGM is reflected across the x-axis, and is dilated by a factor of 2
1
2
. The dilation center is the origin.
Dilation Starting with our fundamental equation, x^2+y^2=r^2, we can dilate a circle. The point can be found by multiplying the parameters of the vertices in the bounding box by the scale factor when distorting a figure that is centered at the origin.
What does triangle mean?
A triangle is made up of three vertices, three angles, and three sides. A triangle's internal angles add up to 180 degrees. The triangle's third side is longer than the two sides added together. The base plus the height multiplied by half equals the triangle's area.
What are a few examples of dilation?
Dilation refers to a change in size without a change in shape of an object. Depending on the scale, the object's size could grow or shrink.
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in a magnetometry experiment, after a minute of collecting data the statistical noise was reduced to 1 picotesla. for how many more minutes should data be collected in order to reduce the random error by a factor of 10
In a magnetometry experiment, It will take 1 more minute for data be collected in order to reduce error the statistical noise by a factor of 10.
To reduce the random error by a factor of 10, we need to reduce the statistical noise to 1/10 picotesla. Since the statistical noise was initially 1 picotesla, this means we need to reduce it by a factor of 10.
We can use the following formula to calculate the time needed to reduce the statistical noise by a certain factor:
t = (log (final noise / initial noise)) / (log (reduction factor))
Here, the final noise is 1/10 picotesla, the initial noise is 1 picotesla, and the reduction factor is 10.
Plugging in these values, we get:
t = (log (1/10 / 1)) / (log (10))
t = (log (1/10)) / (log (10))
t = -1 / 1
t = -1
The negative value of t doesn't make sense in this context, so we need to take the absolute value:
t = |-1|
t = 1
Therefore, it will take 1 more minute to reduce the statistical noise by a factor of 10.
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____The given question is incomplete, the complete question is given below:
Reduction of the standard error
In a magnetometry experiment, after a minute of collecting
data the statistical noise was reduced to 1 picotesla.
For how much longer should data be collected in order
to reduce the random error by a factor of 10?
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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jordan spends 75 minutes drawing & writing his comic book everyday. He draws for 25 minutes longer than he writes.
The number of minutes spent on drawing and writing a comic book will be 50 minutes and 25 minutes, respectively.
What is the solution to the equation?In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
Let 'x' and 'y' be the number of minutes spent on drawing and writing a comic book, respectively. Then the equations are given as,
x + y = 75 ....1
x = y + 25 ....2
From equations 1 and 2, then we have
y + 25 + y = 75
2y = 50
y = 25 minutes
Then the value of 'x' is given as,
x = 25 + 25
x = 50 minutes
The number of minutes spent on drawing and writing a comic book will be 50 minutes and 25 minutes, respectively.
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Translate the following sentence into an equation: "The product of 3 and x increased by 7 equals 25 ."
B =
Round your answer to the nearest hundredth.
B
?
CT
5
4
A
C
3
Answer:answer
Step-by-step explanation:because
