Answer:
Nathan will make $20
Jackson will make $29
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2x-48=8x a. one solution b. no solution
Answer:
a. one solution (x = -8)
Step-by-step explanation:
You want to know how many solutions there are for the equation 2x -48 = 8x.
SolutionThis is a 2-step linear equation.
Step 1: subtract 2x from both sides.
-48 = 6x
Step 2: divide by the coefficient of x.
-48/6 = -8 = x
There is one solution: x = -8.
__
Additional comment
When x terms are on both sides of the equal sign, there will be one solution if their coefficients are different.
If the coefficients are the same, the number of solutions may be 0 or infinite, depending on the constant value(s).
wake county has funding to upgrade 48 school cafeterias. school type number of schools elementary 104 middle 33 high 26 special/optional 4 assuming all else is equal, let's determine how many of each school type should receive the upgrade. first, identify the standard divisor. round your answer to four decimal places.
Rounding to four decimal places, the standard divisor is 3.4792.
The standard divisor can be calculated as follows:
Standard Divisor = Total number of schools / Total number of upgrades
Total number of schools = 104 + 33 + 26 + 4 = 167
Total number of upgrades = 48
Standard Divisor = 167 / 48 = 3.4792
Rounding to four decimal places, the standard divisor is 3.4792.
The standard divisor is a term used in resource allocation or distribution problems, where a set number of resources (e.g., funding, personnel, supplies, etc.) has to be divided among a number of recipient entities (e.g., schools, departments, regions, etc.).
The standard divisor is a number that represents the average allocation of resources per recipient entity, calculated as the total amount of resources divided by the number of recipient entities.
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a city received more than 16 in of snow the inequality is
The inequality of the statement is x > 16
How to determine the inequalityFrom the question, we have the following parameters that can be used in our computation:
a city received more than 16 in of snow
In inequality, more than mean >
So, we have the following representation
Snow > 16
Represent the snow with x
So, we have the following representation
x > 16
Hence, the inequality is x > 16
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generally, parametric estimating requires less information and time than analogous estimating. a. true b. false
The statement "generally, parametric estimating requires less information and time than analogous estimating." is False.
Parametric estimating and analogous estimating are two different methods used to estimate the cost of a project or the value of a parameter.
Parametric estimating uses statistical data and mathematical models to make predictions about the cost or value of a project. This method requires specific data and information about the project, such as historical data, vendor quotes, and cost of similar projects.
The advantage of parametric estimating is that it can be more accurate and precise than other methods, but it can also be time-consuming to gather the necessary data and perform the calculations. Analogous estimating, uses information from similar projects to make predictions about the cost or value of a project.
This method requires less data and information than parametric estimating, but it can be less accurate and precise. Analogous estimating is often used as a quick and rough estimate, or when there is not enough data available to use parametric estimating.
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hello, for anybody who has taken the MATH 2 ACT. were there questions on the graphs of polar coordinates?? should i study them?
Answer:
Hi Saba!
Yes, it is possible that the ACT Math Test includes questions on the graph of polar coordinates. It is always a good idea to be familiar with all the topics covered on the ACT Math Test, so studying polar coordinates might be beneficial. However, the best way to determine what you need to study for the test is to look at the official ACT test prep materials and practice tests, which will give you a good idea of what types of questions are asked.
Answer the following questions:
a.
1. Two numbers are in the ratio of 8: 9. Their sum is 136. What are the numbers?
2. Three numbers are in the ratio of 3: 2: 7. Their sum is 108. What are the numbers?
3. Four numbers are in the ratio 5: 6: 7: 8. The greatest of these is 24. Find the sum of
these numbers.
4. A piece of land was divided among three heirs. The eldest heir received three times as much as the youngest child, who received two times as much as the middle child. If the middle child received 12 hectares (ha) of land, what was the total area of land did they inherit?
5. The numbers are in the ratio 4: 5 and their sum is 108.
6. The numbers are in the ratio 6: 7: 8 and their sum is 63.
7. The numbers are in the ratio 2: 3: 5. The least of these is 48.
8. The numbers are in the ratio 3: 5: 7. The greatest of these is 75.
9. A class has 50 students. The ratio of males to females is 2: 3. How many males and
female students are there?
10. Cherie, Mona, and Kate shared 360 stamps in the ratio of 3: 4: 5, respectively. How many stamps did each of them have?
11. Forty marbles are in a bag. The ratio of red to yellow to blue to green marbles is
1: 2: 2: 3, respectively. How many of the marbles are colored yellow or green?
12. A tall shelf has 80 books. The ratio of fiction to nonfiction to a general reference to
children’s books is 6: 5: 2: 3, respectively. How many more children’s books are
there than general reference books?
1 Let's call the two numbers x and y. According to the ratio, x:y = 8:9, so y = (9/8)x. And since their sum is 136, x + y = 136, so we can substitute y = (9/8)x into this equation:
x + (9/8)x = 136
(17/8)x = 136
x = 64
So the two numbers are 64 and 72.
2 Let's call the three numbers x, y, and z. According to the ratio, x:y:z = 3:2:7, so y = (2/3)x and z = (7/3)x. And since their sum is 108, x + y + z = 108, so we can substitute y = (2/3)x and z = (7/3)x into this equation:
x + (2/3)x + (7/3)x = 108
(12/3)x = 108
x = 36
So the three numbers are 36, 24, and 84.
3 Let's call the four numbers a, b, c, and d. According to the ratio, a:b:c:d = 5:6:7:8, so b = (6/5)a, c = (7/5)a, and d = (8/5)a. And since the greatest of these is 24, d = 24, so we can substitute c = (7/5)a and d = (8/5)a into this equation:
a + (6/5)a + (7/5)a + (8/5)a = 24
(27/5)a = 24
a = 24 * 5/27 = 8
So the four numbers are 8, 9.6, 10.4, and 24. And the sum of these numbers is 8 + 9.6 + 10.4 + 24 = 52
4 Let's call the three heirs' land area x, y, and z. Since the eldest heir received three times as much as the youngest child, who received two times as much as the middle child, we can write the equation:
x = 3y and y = 2z
So we can substitute y = 2z into x = 3y to get:
x = 3 * 2z = 6z
And since the middle child received 12 ha of land, we can substitute z = 12 into x = 6z to get:
x = 6 * 12 = 72
So the total area of land they inherited is x + y + z = 72 + 2 * 12 = 96 ha.
5 Let's call the two numbers x and y. According to the ratio, x:y = 4:5, so y = (5/4)x. And since their sum is 108, x + y = 108, so we can substitute y = (5/4)x into this equation:
x + (5/4)x = 108
(9/4)x = 108
x = 36
So the two numbers are 36 and 45.
6 Let's call the three numbers x, y, and z. Then, we have:
x:y:z = 6:7:8
x + y + z = 63
To find the values of x, y, and z, we can use the first ratio to write x, y, and z as multiples of the same number. Let's call that number t:
x = 6t
y = 7t
z = 8t
We can use the second equation to solve for t:
6t + 7t + 8t = 63
21t = 63
t = 3
So, the three numbers are:
x = 6t = 6 * 3 = 18
y = 7t = 7 * 3 = 21
z = 8t = 8 * 3 = 24
7 Let's call the three numbers a, b, and c. Then, we have:
a:b:c = 2:3:5
a = 48 (the least of these)
To find the values of b and c, we can use the first ratio to write b and c as multiples of a:
b = 3a = 3 * 48 = 144
c = 5a = 5 * 48 = 240
8 Let's call the three numbers p, q, and r. Then, we have:
p:q:r = 3:5:7
r = 75 (the greatest of these)
To find the values of p and q, we can use the first ratio to write p and q as multiples of r:
p = 3r/5 = 3 * 75/5 = 45
q = 5r/7 = 5 * 75/7 = 50
9 Let's call the number of male students m and the number of female students f. Then, we have:
m:f = 2:3
m + f = 50
To find the values of m and f, we can use the first ratio to write m and f as multiples of the same number. Let's call that number t:
m = 2t
f = 3t
We can use the second equation to solve for t:
2t + 3t = 50
5t = 50
t = 10
So, the number of male students is:
m = 2t = 2 * 10 = 20
And the number of female students is:
f = 3t = 3 * 10 = 30
10 Let's call the number of stamps that Cherie has x, the number of stamps that Mona has y, and the number of stamps that Kate has z. Then, we have:
x:y:z = 3:4:5
x + y + z = 360
To find the values of x, y, and z, we can use the first ratio to write x, y, and z as multiples of the same number. Let's call that number t:
x = 3t
y = 4t
z = 5t
We can use the second equation to solve for t:
3t + 4t + 5t = 360
12t = 360
t = 30
So, Cherie has:
x = 3t = 3 * 30 = 90 stamps
Mona has:
y = 4t = 4 * 30 = 120 stamps
Kate has:
z = 5t = 5 * 30 = 150 stamps
11 The marbles are divided in the ratio 1:2:2:3, so there are 2 x 2 = 4 times as many yellow and blue marbles as there are red marbles. Therefore, there are 2 + 2 = 4 red marbles. Hence, there are 4 x 2 = 8 yellow and blue marbles. Furthermore, there are 3 times as many green marbles as there are red marbles, meaning there are 3 x 4 = 12 green marbles. Therefore, the total number of yellow and green marbles is 8 + 12 = 20.
12 According to the ratio, there are 6:5:2:3 of fiction to nonfiction to general reference to children's books. So the number of each category can be calculated as follows:
Fiction: 6/16 x 80 = 30 books
Nonfiction: 5/16 x 80 = 25 books
General reference: 2/16 x 80 = 10 books
Children's books: 3/16 x 80 = 15 books
So, there are 15 - 10 = 5 more children's books than general reference books.
Hope i helped. please make me brainliest
if it is assumed that all 52 5 poker hands are equally likely, what is the probability of being dealt a flush?
If it is assumed that all 52 5 poker hands are equally likely, the probability of being dealt a flush is 0.001981
Flush means all 5 cards are of the same suit.
Now, we need to select one suit out of 4 which can be done in ⁴C₁ ways.
Now, when the suit is selected, we have to select 5 cards from that specific suit. This can be done in ¹³C₅ ways
In the game of poker, there are ⁵²C₅ possible hands.
So, the probability of a flush is given by:
P = (⁴C₁ × ¹³C₅)/⁵²C₅
P = (4 × 1287)/2598960
P = 5148/2598960
P = 0.001981 or 1.981 × 10⁻³ or 0.1981 %
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Please help! True or false
3x + 6 is equivalent to 9x
Step-by-step explanation:
false.
3x + 6x is equivalent to 9x
but not 3x + 6. 6 is a constant added term. not a multiplication factor. so, it cannot be combined with a multiplication factor.
but 3x + 6 = 9x
has one solution, one value of x for which this equation is true :
3x + 6 = 9x
6 = 6x
x = 1
so, for x = 1 (and only for x = 1) this is true. for any other value of x this is false.
therefore, the general equivalent statement is false.
what is it about the decimal system that allows us to compare numbers this way by starting at the left-most non-zero place?
The decimal system is a positional notation system, which means that the value of a digit in a number depends on its position in the number.
In the decimal system, each digit can take on one of ten possible values (0, 1, 2, 3, 4, 5, 6, 7, 8, or 9), and the value of a number is determined by multiplying each digit by its corresponding power of ten and then summing up the products.
For example, the number 123 can be written as [tex]1 x 10^2 + 2 x 10^1 + 3 x 10^0[/tex], where the exponent on the 10 indicates the position of the digit in the number. The left-most digit (1) is in the hundreds place, the next digit (2) is in the tens place, and the right-most digit (3) is in the ones place.
This positional notation system allows us to easily compare numbers by starting at the left-most non-zero place, because the value of each digit is determined by its position relative to the other digits in the number. The left-most digit represents the largest power of 10, and thus has the greatest impact on the overall value of the number. By comparing the left-most non-zero digits of two numbers, we can quickly determine which number is larger. If the left-most non-zero digits are the same, we can move on to the next digit to the right and continue the comparison until we find a difference.
This is why we use the left-to-right ordering of digits to compare numbers in the decimal system. It allows us to quickly determine the relative size of numbers, even when dealing with large or complex numbers.
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HELP pls will mark you brainliest
Answers:
#6: (6,32)
#7: total cost for kites R fun Total cost for windy kites
4 42
7 62
10 82
This probability distribution shows the
typical distribution of pitches thrown to a
batter in a given "at-bat" in a baseball game.
Pitches
1
3
4
5
Frequency
15
20
40
15
10
Find the probability that the pitcher will
throw 4 or fewer pitches to a batter.
p=[?]
Enter
The probability that the pitcher will throw fewer than 4 pitches to a batter is 0.35
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
P(E) = Number of favourable outcomes / total number of outcomes
This probability distribution is shown below:
Pitch 1 2 3 4 5
Frequency 15 20 40 15 10
Probability 0.15 0.2 0.4 0.15 0.1
Thus the probability that the pitcher will throw fewer than 3 pitches to a batter = P(X < 4)
X is the number of pitches thrown.
Therefore:
P(X < 4) = P(X = 1) or P(X = 2)
The additive rule of the probability states that if two events X and Y are dependent events, the probability of X or Y occurring is the sum of their individual probability.
P(X < 4) = P(X = 1) or
P(X = 2) = P(X = 1) + P(X = 2)
= 0.15 + 0.2
= 0.35
Hence, The probability that the pitcher will throw fewer than 4 pitches to a batter is 0.35
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Find the volume V or radius r of the sphere. Round your answer to the nearest tenth, if necessary. Volume = 36 π m³
Answer:
The radius can be shown in 2 different forms
Fraction Form
[tex]r=\sqrt[3]{\frac{27}{\pi}}[/tex]
Decimal Form
[tex]r=2.05[/tex]
Step-by-step explanation:
The formula for the volume of the sphere is
[tex]V=\frac{4}{3}\pi r^3[/tex]
We are given the volume and we are asked to find the radius.
We can solve for [tex]r[/tex] in the equation for volume to evaluate the radius.
[tex]\frac{4}{3}\pi r^3=V[/tex]
Move [tex]\pi[/tex] and [tex]r^3[/tex] into the numerator.
[tex]\frac{4\pi r^3}{3}=V[/tex]
Divide both sides of the equation by 3.
[tex]4\pi r^3=3V[/tex]
Divide both sides of the equation by [tex]4\pi[/tex].
[tex]r^3=\frac{3V}{4\pi }[/tex]
Take the cube root of both sides to eliminate the exponent.
[tex]r=\sqrt[3]{\frac{3V}{4\pi }}[/tex]
Numerical Evaluation
Now we have an equation to evaluate [tex]r[/tex].
Given [tex]V=36[/tex]
Insert 36 in for [tex]V[/tex].
[tex]r=\sqrt[3]{\frac{3*36}{4\pi }}[/tex]
Factor 4 out of [tex]3*36[/tex] and add parenthesis.
[tex]r=\sqrt[3]{\frac{4(3*9)}{4(\pi) }}[/tex]
Cancel the common factor of 4.
[tex]r=\sqrt[3]{\frac{3*9}{\pi}}[/tex]
Multiply [tex]3*9[/tex].
[tex]r=\sqrt[3]{\frac{27}{\pi}}[/tex]
The answer can be shown in multiple forms.
Fraction Form
[tex]r=\sqrt[3]{\frac{27}{\pi}}[/tex]
Decimal Form
[tex]r=2.05[/tex]
the three numbers 5,5,20 have a sum of 30 and therefore a mean of 10. use software to determine the standard deviation. use the function for sample standard deviation. give your answer precise to two decimal places. standard deviation= now suppose a fourth value equal to the mean, 10, were added to the data set. what would happen to the standard deviation? choose the correct statement.
The standard deviation changes as the three digits 5, 5, and 20 add up to 30 and it would decrease.
Given that,
The three digits 5, 5, and 20 add up to 30 and have a mean of 10 as a result. To calculate the standard deviation, use software. utilize the sample standard deviation function. Give a two-decimal place precision to your response. Assume the data set now included a fourth value, 10, which is equal to the mean.
To find : How would the standard deviation change?
S = √∑(Xi - X)²/n-1
= √ (5-10)² + (5-10)² +(20-10)² / 2
= √ 25+25+ 100 / 2
= √ 75
= 8.66
S = √∑(Xi - X)²/n-1
= √ (5-10)² + (5-10)² +(20-10)² + (10-10)² / 3
= 7.07
So, The standard deviation would drop when the three digits 5, 5, and 20 added up to 30.
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__________ is a measure of how responsive one variable is to a change in another variable.
Answer: Elasticity
Elasticity is a measure of how responsive one variable is to a change in another variable.
What begins with T, ends with T, and has T in it?
Answer: A teapot.
Step-by-step explanation:
over which intervals is f positive? over which intervals is it negative? over which intervals, if any, is it equal to zero?
To determine these intervals, one can use the function's critical points, zeros, or other methods, such as testing values or using calculus.
The intervals over which a function is positive, negative, or equal to zero can be determined by analyzing the function's graph. If a function is positive over an interval, its graph is above the x-axis over that interval, meaning that its values are positive. If a function is negative over an interval, its graph is below the x-axis over that interval, meaning that its values are negative. If a function is equal to zero over an interval, its graph passes through the x-axis over that interval, meaning that its values are equal to zero. To determine these intervals, one can use the function's critical points, zeros, or other methods, such as testing values or using calculus.
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Hey, does anyone know the answer to this problem? I’m struggling with it
Answer:
Step-by-step explanation:
the total perimeter is 33 so all of the sides are equal to it.
33=3x+13+12
then combine like terms
33=3x+25
subtract from each side
(33)-25=(3x+25)-25
8=3x
divide by 3
x=2 2/3
A basketball player averages 13.5 points per game. Use this rate to find the value of x, the number of points scored in 7 games.
A 2-column table with 4 rows. Column 1 is labeled Number of Points with entries 13.5, 40.5, 67.5, x. Column 2 is labeled Number of Games with entries 1, 3, 5, 7.
x =
points
The value of 'x' score in the 7th game is - 47.25.
What is the weighted average?When the average is not of any individual rather it is an average of two or more groups or sets it is called a weighted average.
To obtain the weighted average we multiply no. of individuals by their averages and sum the next group in the previous procedure and divide them by the total no. of individuals.
From the given table and concept of weighted average we have,
13.5 = (13.5/2 + 40.5/2 + 67.5/2 + x/1).
13.5 = (6.75 + 20.25 + 33.75 + x).
13.5 = 60.75 + x.
x = - 47.25.
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Answer:
94.5 POINTS
Step-by-step explanation:
because math
Price of a book: $18.50
Discount: 45%
Find the new price of the book after the discount. Round to the nearest cent.
I need answer ASAP the question is in the picture
Answer:
D
Step-by-step explanation:
if the price of milk increases from $3.99 to $5.99 per gallon, this will cause a .
The percent decrease of the average gas price from january to February is 7.85%
How to find percent decrease of the average gas price from january to February
Average gas price in January = $4.33 per gallon
Average gas price in February = $3.99 per gallon
Change in average gas price = Average gas price in January - Average gas price in February
= $4.33 - $3.99
= $0.34
Percent decrease in average price = Change in average gas price / Average gas price in January × 100
= $0.34 / $4.33 × 100
= 0.078521939953810 × 100
= 7.85%
In conclusion, the price of gas has decreased at a percentage of 7.85% from January to February.
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complete question
Gas prices averaged $4.33 per gallon in january and $3.99 per gallon in february. what was the percent decrease of the average gas price from january to february?
a developmental psychologist studies the number of words that seven infants have learned at a particular age. the numbers are 10, 12, 8, 0, 3, 40, and 18. figure the (a) mean, (b) median, and (c) standard deviation for the number of words learned by these seven infants. (d) explain what you have done and what the results mean to a person who has never had a course in statistics
The mean of 13 words, median of 10 words, and standard deviation of 13.20 words give us an idea of the central tendency and variability of the number of words learned by the seven infants.
(a) Mean: The mean is the average of the values and can be calculated by adding all the values and dividing by the number of values. For the number of words learned by the seven infants, the mean can be calculated as follows:
mean = (10 + 12 + 8 + 0 + 3 + 40 + 18) / 7 = 91 / 7 = 13
So the mean number of words learned by the seven infants is 13 words.
(b) Median: The median is the middle value in a set of values. If the number of values is odd, the median is the middle value. If the number of values is even, the median is the average of the two middle values.
0, 3, 8, 10, 12, 18, 40
The median is 10 words.
(c) Standard Deviation: The standard deviation is a measure of the spread or variability of a set of values.
First, the deviations from the mean are calculated as follows:
10 - 13 = -3
12 - 13 = -1
8 - 13 = -5
0 - 13 = -13
3 - 13 = -10
40 - 13 = 27
18 - 13 = 5
Next, the squared deviations are calculated:
(-3)^2 = 9
(-1)^2 = 1
(-5)^2 = 25
(-13)^2 = 169
(-10)^2 = 100
27^2 = 729
5^2 = 25
The variance is then calculated as the average of the squared deviations, divided by the number of values (n - 1):
variance = (9 + 1 + 25 + 169 + 100 + 729 + 25) / (7 - 1) = 1058 / 6 = 176.33
Finally, the standard deviation is calculated as the square root of the variance:
standard deviation = sqrt(variance) = sqrt(176.33) = 13.20
(d) Explanation: The mean, median, and standard deviation are measures of the central tendency and variability of a set of values. The mean is the average of the values and gives an idea of the typical value.
In this case, The mean tells us that the typical number of words learned by the seven infants is 13 words, the median tells us that half of the infants learned more than 10 words and half of the infants learned less, and the standard deviation tells us that the values are spread out around the mean with a deviation of about 13 words.
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What is the equation of the graphed line in standard form? Responses y = 2x + 6 y, = 2, x, + 6 −2x+y=6 negative 2 x plus y equals 6 12x+y=6 negative 1 half x plus y equals 6 12x−y=−6 1 half x plus y equals negative 6 A line graphed on a Coordinate plane with x axis ranging from negative 10 to 10 and y axis ranging from negative 10 to 10. The line passes through the points begin ordered pair 0 comma 6 end ordered pair comma begin ordered pair 2 comma 7 end ordered pair.
The equation of the graphed line is y = 1/2 x + 6
How to determine the equation of the lineThe general formula for the equation of a graphed line is expressed with the formula;
y = mx + c
Where the parameters are;
y is a point on the y-axis of the graphm is the slope of the line of the graphx is a point on the x-axis of the graphc is the intercept of the line on the y -axis of the lineFrom the diagram shown, the values are;
(0, 6) and (2. 7)
The intercept is 6
The slope is expressed as; y₂ - y₁/x₂ - x₁
Substitute the values
Slope, m = 7 - 6/2 - 0
Slope, m = 1/2
Then, the equation is
y = 1/2 x + 6
Hence, the equation is y = 1/2x + 6
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LOTS of points help ASAP
Answer:
Your answer should be 88
Step-by-step explanation:
To download movies off the internet, you must pay $1.99 per movie, plus a onetime fee of $5.50. Which expression shows the total cost to download N movies?
Answer:
Step-by-step explanation:
well then the anwser is 1.99 because the one time fee is only for downloading one movie the first, but 1.99 is the money you have to pay everytime you download a movie.
10 meters into the pool, the depth of the water is 2 meters. how deep is the water 38 meters into the pool?
At 38 meters into the pool, the water is 7.6 meters deep. Water depth is the distance in feet between the ocean's surface and bottom, as determined by mean lower low water.
Ocean depth is most frequently and quickly measured using sound. Sonar, which stands for sound navigation and range, is a technique that allows ships to map the topography of the ocean below. The instrument uses sound waves to send to the ocean's bottom and time how long it takes for an echo to come back. The straightforward formula "d/2 = vt" is used to determine the depth "d" because the speed of sound in water is known.
height-1 = 10
height-2 = 38
depth-1=2 m
depth-2 = ?
depth-2 = (height 2* depth 1)/height 1
depth-2 = ( 38*2)/10
depth-2 = 7.6 m
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Find the rule. Solve for n
X 5 6 7 n
Y 10 12 14 20 Rule:
Answer:
n = 10
Step-by-step explanation:
2x = y
2(n)=20
n = 20/2
n = 10
McKenna spends 7/4 hours mopping the
floors and 27/8 hours mowing and weeding the yard. How many hours does shespend on her chores?
Answer:
Below
Step-by-step explanation:
7/4 = 14/8 hr
14/8 + 27/8 = (14+27) / 8 = 41/8 = 5 1/8 hr
A sandwich store charges a $10 delivery fee, and $4.50 for each sandwich.
How much does it cost for x sandwhiches?
Answer:
So for x sandwiches, the cost would be 10 + 4.5x dollars.
Step-by-step explanation:
The cost for x sandwiches can be calculated by adding the delivery fee to the cost of the sandwiches:
Cost = Delivery fee + Cost of sandwiches
Cost = 10 + 4.5x
what an outlier in a data set can significantly affect the value of the mean but not the median?
An outlier in a data set can significantly affect the value of the mean but not the median because the mean is calculated by adding up all the values and dividing by the total number of values, while the median is the middle value of a set of data when it is arranged in numerical order. Outliers can greatly influence the mean because they can greatly increase or decrease the sum of all the values, which changes the average. However, outliers do not significantly affect the median because the median only depends on the middle value of the data set, and not the total sum of all the values.