Answers
Answer:
Mode:6
median: 5.5
mean: 5.25
range : 2
Step-by-step explanation:
Related Questions
act scores are normally distributed and from 2015 to 2017, the mean was 20.9 with a standard deviation of 5.6. to get accepted into u of m, you need at least a 31. what is the z-score you need to get accepted? enter your answer rounded to the nearest hundredth. question 3 options:
Answers
To find the z-score needed to get accepted into the University of Michigan (U of M) with an ACT score of at least 31, we can use the mean and standard deviation of the ACT scores distribution from 2015 to 2017.
The mean is 20.9, and the standard deviation is 5.6.
The z-score measures how many standard deviations an individual's ACT score is above or below the mean. We can calculate the z-score using the formula: z = (x - μ) / σ, where x is the ACT score, μ is the mean, and σ is the standard deviation.
For the desired ACT score of 31, we can calculate the z-score as follows:
z = (31 - 20.9) / 5.6 ≈ 1.82
Therefore, the z-score needed to get accepted into U of M with an ACT score of at least 31 is approximately 1.82, rounded to the nearest hundredth.
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What is the right translation of these expressions and equations? (with solution)
1. 7 - 2m
2. 3( m + 2) = 15
3. 5m - m(2 - m)
Answers
Answer:
7 - 2m can be translated to "7 minus two times m" or "the difference between 7 and twice m".
3(m + 2) = 15 can be translated to "three times the sum of m and 2 is equal to 15" or "the product of 3 and the sum of m and 2 is 15".
To solve the equation, we can start by distributing the 3 on the left side:
3(m + 2) = 15
3m + 6 = 15
Then, we can subtract 6 from both sides:
3m + 6 - 6 = 15 - 6
3m = 9
Finally, we can divide both sides by 3:
3m/3 = 9/3
m = 3
Therefore, the solution to the equation 3(m + 2) = 15 is m = 3.
5m - m(2 - m) can be translated to "5m minus the product of m and the difference between 2 and m" or "the difference between 5m and m times the quantity 2 minus m".
To simplify the expression, we can use the distributive property to expand the second term:
5m - m(2 - m) = 5m - 2m + m^2 = m^2 + 3m
Therefore, the simplified expression is m^2 + 3m.
Jim has $150 to spend on his birthday skating party. It costs $25 to rent a party room. If it costs $10 per person to skate, how many people can attend the party? Write an equation to represent the situation.
Answers
Answer:
Step-by-step explanation:
150 - total budget (150)
25 out of total budget (150 - 25)
solve 150 - 25 for (125)
125/10 = 12.5
the 150-25 is in parentheses so using PEMDAS, it will be completed first for an answer of (125). then 125 x .10 to divide.
the equation would be - (150-25).10 (OR) (150-25)/10
(you can either choose to divide by a whole or multiply by a fraction.
Answer:
12 people
Step-by-step explanation:
25+10x=150
subtract 25 each side
10x=125
divide both sides by 10
x = 12.5
can't have half a body at a party.
hope this helps :)
please help i have to leave soon!! will give brainliest and no links hurry plezzz
Answers
Answer:
1/18
Step-by-step explanation:
There are 2 ways to get the sum of 11
5,6 and 6,5
therefore 2/36=1/18
what is the mode frequency of the age variable?
Answers
The mode frequency can be a useful tool for understanding the distribution of the data and identifying any outliers or anomalies in the data set.
The mode frequency of the age variable refers to the most frequently occurring age in a given set of data. This measure of central tendency is particularly useful when working with categorical data, such as age ranges.
To calculate the mode frequency, one must first organize the data into a frequency distribution table, which lists all the different ages and the number of times each occurs. The age with the highest frequency is then considered the mode frequency.
For example, if there are 100 individuals in a data set and the ages range from 20 to 60, we would organize the data into age ranges, such as 20-29, 30-39, etc. Then we would count how many individuals fall into each age range and record this information in the frequency distribution table.
If the age range with the highest frequency occurs more than once, we have a multi-modal data set. On the other hand, if there is only one mode frequency, the data set is considered unimodal.
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Sketch a graph y= f(x) of a function defined everywhere on (-[infinity], [infinity]) with the following properties:
lim x +[infinity] f(x) = 2 limx +[infinity] f(x) = 4
f(0) = 0
Answers
There are infinitely many functions that satisfy the given conditions.
To sketch a graph y = f(x) of a function defined everywhere on (-∞, ∞) with the given properties, we need to consider the following steps: First, consider the given limit lim x→+∞ f(x) = 2andlim x→-∞ f(x) = 4Since we are given that the function is defined everywhere on (-∞, ∞), there are no vertical asymptotes.
Therefore, the function has a horizontal asymptote at y = 2 as x approaches infinity and a horizontal asymptote at y = 4 as x approaches negative infinity.
Secondly, we are given that f(0) = 0, which means that the graph passes through the origin (0, 0). Now, we need to consider the shape of the graph between the origin and positive infinity, and the shape of the graph between the origin and negative infinity.
Based on the given limits, we know that the graph must approach the horizontal line y = 2 as x approaches infinity and approach the horizontal line y = 4 as x approaches negative infinity.
A possible sketch of the graph y = f(x) is shown below: Graph of y = f(x) with given properties The graph can take any shape between the origin and infinity, and between the origin and negative infinity, as long as it approaches the horizontal lines y = 2 and y = 4, respectively, as x approaches infinity and negative infinity.
Therefore, there are infinitely many functions that satisfy the given conditions.
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You should always measure your following distance in.
Answers
You should always measure your following distance in seconds. The correct answer for measuring following distance is A.
It is important to keep a safe distance between vehicles on the road, which is known as following distance. Measuring following distance in seconds is a more reliable method than measuring it in car lengths or feet.
The recommended following distance is typically two to three seconds. This means that when the vehicle in front of you passes a fixed point on the road, you should not reach that same point before two to three seconds have elapsed.
Measuring in seconds is more effective as it takes into account the speed at which both vehicles are traveling. If you measure in car lengths or feet, it may not be accurate as the length of the cars may differ, and it does not account for the speed of the vehicles. By measuring in seconds, you can maintain a safe distance and reduce the risk of accidents or collisions.
The correct answer for measuring following distance is A.
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Complete question is:
You should always measure your following distance in __________
A. seconds. B. car lengths. C. feet.
Use a graphing tool to solve the system.
1.5x−y3=182x−3y=43
Enter the coordinates of the solution in the boxes. Round each coordinate to the nearest hundredth.
Answers
The solution is, x= 50 & y= 19.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of 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.
here, we have,
given that,
1.5x−y3=18
2x−3y=43
solving the equations in graph , we get,
x= 50
y= 19
Hence, The solution is, x= 50 & y= 19.
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The trend model that allows for one change in the direction of a series.
A. linear trend model
B. exponential trend model
C. quadratic trend model
D. cubic trend model
Answers
The trend model that allows for one change in the direction of a series is: A. linear trend model.
Here, we have,
The linear trend model is a commonly used technique in time series analysis, particularly when the data is expected to exhibit a consistent rate of growth or change over time.
First, Collect and organize your data, Before you can apply the linear trend model, you need to have a clear understanding of the data you're working with.
Then Plot your data on a graph, Once you have your data organized, the next step is to plot it on a graph. This will help you visualize any trends or patterns that may be present in the data.
Next, Calculate the slope of the line, To determine the rate of change in your data, you'll need to calculate the slope of the line. This is done using a formula called the least squares regression line.
And then determine the intercept of the line, by using the intercept of the line represents the starting point for the data. In other words, it's the value of the data at the beginning of the time series.
Finally, use the linear trend model to make predictions, Once you've calculated the slope and intercept of the line, you can use the linear trend model to make predictions about future values of the data.
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When one increases the confidence level (1-α), say from 0.90 to 0.95, what happens to the width of the confidence interval? a. It stays the same b. It becomes wider c. It becomes narrower
Answers
Step-by-step explanation:
A higher confidence interval means less power which in turns means a smaller rejection religion.So our confidence interval would become wider.
9. The figure shows a rectangle with its length and
breadth as indicated. Given that the perimeter of
the rectangle is 120 cm, find the area of the rectangle.
(3x - y) cm
(2x – 3) cm
(2x + y) cm
Answers
Answer:
875cm^2
Step-by-step explanation:
since opposite sides are equal
3x-y=2x+y
x=2y
y=x/2 ....(i)
thus new length=2x+y
=2x+(x/2) [using (i)]
=(4x+x)/2
l=5x/2 .....(ii)
now,
perimeter=2(l+b)=120cm
l+b=60cm
from figure and using (ii)
[5x/2]+2x-3=60
[5x+4x-6]/2=60
9x-6=120
9x=126
x=126/9
x=14 ..........(iii)
substitute (iii) in (i)
y=14/2
y=7 ...........(iv)
From figure,
length=2x+y [using (iii) and (iv)]
=2x14+7
length=35cm
breadth=2x-3
=2x14-3 ....[using(iii)]
=28-3
breadth=25cm
now,
Area=lxb
=35x25
=875cm^2
pleasee answer asap
Answers
Answer:
Read below :)
Step-by-step explanation:
So, you have 80 peeps total, right? let's separate them into their core numbers
80 peeps
19 have Crocs
3 have neither
4 have both
61 people with no crocs. of them, 4 have flip flops as well. 80 -3 = 77 so forget the 80 from now on, let's work with 77.
The MIDDLE of the Penn Diagram, where they intersect, 4 people have both.
On the LEFT, 58 people have flip flops, and on the RIGHT, 23 people have Crocs.
NEED ANSWER STAT
A theme park costs $25.00 to enter. One of the food stands within the park sells hot dogs for $2.50 each and hamburgers for $3.50 each. If Paul enters the park, walks to the food stand, and purchases hot dogs and hamburgers, the amount of money he spends can be modeled by the expression below.
2.5d+3.5b+25
2.5d+3.5b+25
Which of the following are correct interpretations for parts of this expression? Choose ALL that apply.
A.
2.5d represents the cost of entering the park
B.
2.5d represents the cost of purchasing d hot dogs
C.
2.5d represents the cost of purchasing d hamburgers
D.
3.5b represents the cost of entering the park
E.
3.5b represents the cost of purchasing b hot dogs
F.
3.5b represents the cost of purchasing b hamburgers
G.
25 represents the cost of entering the park
Answers
Answer:
B, F, G
Step-by-step explanation:
Answer:
B, F, G
Step-by-step explanation:
what fraction of a day is 8 hours 20minute
Answers
Answer:
So after dividing 8 by 20 your answer will come out to be 1 by 3. So the time is 1/3.
8 hours and 20 minutes is equivalent to 8.3333... hours, or approximately 8 hours and 20 minutes, or 0.35 of a day.
15 solids and 15 liquids found in the kitchen.
Please help.
Answers
15 liquids that can be found in a kitchen include:
WaterMilkJuice Cooking oil VinegarWineSoy sauceHoneySoupKetchupMustardMayonnaiseSalad dressingEggnogCocktail mixers15 solids in a kitchen are:
FlourSugarSaltRiceBaking sodaBaking powderSpices NutsPastaButterCheeseBreadMeat Vegetables FruitsWhat are some solids and liquids in kitchens ?When it comes to solids in the kitchen, we can mostly find either food ingredients, such as salt, flour, and spices, or actual food that can be prepared such as meat, vegetables, and bread.
As for liquids, these can be anything from drinks such as juice, water and wine, to liquids used for cooking such as oil, soy sauce and vinegar.
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let f be the function given by f(x)=1(2 x). what is the coefficient of x3 in the taylor series for f about x = 0 ?
Answers
The coefficient of x^3 in the Taylor series for f(x) is 0, since there is no term involving x^3.
To find the Taylor series of the function f(x) = 1/(2x) about x = 0, we can use the formula:
\(f(x) = f(0) + f'(0)x + (1/2!)f''(0)x^2 + (1/3!)f'''(0)x^3 + ...\)
where f'(x), f''(x), f'''(x), etc. denote the derivatives of f(x).
First, we need to find the derivatives of f(x):
f'(x) = -1/(2x^2)
f''(x) = 2/(x^3)
f'''(x) = -6/(x^4)
f''''(x) = 24/(x^5)
Next, we evaluate these derivatives at x = 0 to get:
f(0) = 1/(2(0)) = undefined
f'(0) = -1/(2(0)^2) = undefined
f''(0) = 2/(0)^3 = undefined
f'''(0) = -6/(0)^4 = undefined
f''''(0) = 24/(0)^5 = undefined
Since the derivatives are undefined at x = 0, we need to use a different method to find the Taylor series. We can use the identity:
1/(1 - t) = 1 + t + t^2 + t^3 + ...
where |t| < 1.
Substituting t = -x^2/a^2, we get:
1/(1 + x^2/a^2) = 1 - x^2/a^2 + x^4/a^4 - x^6/a^6 + ...
This is the Taylor series for 1/(1 + x^2/a^2) about x = 0. To get the Taylor series for f(x) = 1/(2x), we need to replace x with ax^2:
f(x) = 1/(2(ax^2)) = 1/(2a) * 1/(1 + x^2/a^2)
Substituting the Taylor series for 1/(1 + x^2/a^2), we get:
f(x) = 1/(2a) - x^2/(2a^3) + x^4/(2a^5) - x^6/(2a^7) + ...
Therefore, the coefficient of x^3 in the Taylor series for f(x) is 0, since there is no term involving x^3.
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The algebraic representation of a transformation is (x,y) (3x,3y). This is an example of which type of transformation
Answers
To visualize this transformation, imagine a rectangle with vertices at and (0,2). Applying the transformation (x,y) → \((3x,3y)\) to each vertex, we get a new rectangle with vertices at \((0,0), (3,0), (3,6),\) and \((0,6)\), which is three times the size of the original rectangle.
What form can take Algebraic representations?Algebraic representations can take many forms, including equations, inequalities, functions, and matrices. These representations provide a powerful tool for analysing complex systems and deriving meaningful insights from them.
The algebraic representation \((x,y) (3x,3y)\) describes a dilation transformation, specifically an enlargement or stretch by a scale factor of 3 in both the x and y directions.
This means that every point in the original figure is multiplied by 3 in both the x and y directions, resulting in a larger, similar figure.
To visualize this transformation, imagine a rectangle with vertices at \((0,0), (1,0), (1,2),\) and \((0,2).\) Applying the transformation (x,y) → (3x,3y) to each vertex, we get a new rectangle with vertices at \((0,0), (3,0), (3,6),\) and (0,6), which is three times the size of the original rectangle.
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A Canadian football field is 110 yd long and an American football field is 100 yd
long. How many feet longer is the Canadian Fleld?
Answers
Find the sector area (Show work)
Answers
Answer:
Use MATH.WAY, it will help with any math problem
Step-by-step explanation:
What is the perimeter of triangle ABC. Coordinates A (4,-1) B (-1,4) C (0,-3)
Answers
Answer:
18.61
Step-by-step explanation:
I really need help..im confused
Answers
The coefficient of determination, also known as R-squared, represents the proportion of the dependent variable's variance that can be explained by the independent variable(s) in a regression model. A higher R-squared indicates a better fit of the model to the data and suggests that a greater proportion of the variation in the dependent variable (lobster length in this case) can be attributed to the independent variable (age).
In this scenario, the linear model has a coefficient of determination of 0.8724503, indicating that approximately 87% of the variation in lobster length can be explained by age. This suggests a strong relationship between age and length in a linear fashion.
Conversely, the exponential model has a lower coefficient of determination of 0.6730372, indicating that only about 67% of the variation in lobster length is associated with age. While this is still a moderate level of association, the linear model provides a better fit to the data and explains a higher proportion of the variation in length.
Therefore, based on the coefficient of determination, the linear model would be the better choice for projecting the length of a lobster.
Cameron's dog weighs 10 pounds more than her cat. Her dog weighs 7 pounds less than Bill's dog. Cameron's cat weighs 8 pounds. How much does Bill's dog weigh?
Answers
Answer:
25
Step-by-step explanation:
10+7+8=25 this is because her cat weighs 8 pounds and her dog weighs 10 pounds more so that's 18 lb. after words it says Cameron's dog weighs 7 pounds less than bills so you do 18+7 and that equals 25
The probability distribution of a game is shown in the table. Find the expected number of points won per play. Round to the nearest tenth if needed.
a) 5.7 b) 4.5 c) 4.7 d) 5
Answers
Answer:
4.5
Step-by-step explanation:
I just did this lesson and i just guessed, but i got it wrong and it said the answer was 4.5. basically, you multiply the fractions and the number value first,(like 1/6 X 0) and you do that to all of them. and then you add up all your answers, simplify them and put it in decimal form. and you get 4.5. hopefully that made enough sense.
40 times 40 times 30 equals
Answers
48000 is your awnserrrr
Find the products in simplest form.
8 5
21 16
23. 15 =
RETRY
Answers
Answer:
part A\( \frac{8}{21} . \: \frac{5}{16} \\ \\ \frac{5}{42} \\ \\ 0.119\)
part B
\( \frac{12}{25} . \: \frac{15}{16} \\ \\ \frac{9}{20} \\ \\ 0.45\)
Answer:
8/21 . 5/16 = 5/42
12/25 . 15/16 = 9/20
Step-by-step explanation:
16 = 2 x 8
8/21 . 5/16
= ( 8 x 5 ) / ( 21 x 16 )
= ( 8 x 5 ) / ( 21 x 2 x 8 )
= 5 / ( 21 x 2 )
= 5/42
12 = 3 x 4
15 = 3 x 5
25 = 5 x 5
16 = 4 x 4
12/25 . 15/16
= ( 3 x 4 ) / ( 5 x 5 ) . ( 3 x 5 ) / ( 4 x 4 )
= ( 3 x 4 x 3 x 5 ) / ( 5 x 5 x 4 x 4 )
= ( 3 x 3 ) / ( 5 x 4 )
= 9/20
Consider the following recursive definition of the Lucas numbers L(n): L(n) = 1 if n=1 3 if n=2 L(n-1)+L(n-2) if n > 2 What is L(4)? Your Answer:
Answers
The value of Lucas number L(4) is 4.
To find L(4) using the recursive definition of Lucas numbers, we'll follow these steps:
1. L(n) = 1 if n = 1
2. L(n) = 3 if n = 2
3. L(n) = L(n-1) + L(n-2) if n > 2
Since we want to find L(4), we need to first find L(3) using the recursive formula:
L(3) = L(2) + L(1)
L(3) = 3 (from step 2) + 1 (from step 1)
L(3) = 4
Now we can find L(4):
L(4) = L(3) + L(2)
L(4) = 4 (from L(3) calculation) + 3 (from step 2)
L(4) = 7
So, the value of L(4) in the Lucas numbers is 7.
Explanation;-
STEP 1:- First we the recursive relation of the Lucas number, In order to find the value of the L(4) we must know the value of the L(3) and L(2)
STEP 2:- Value of the L(2) is given in question, and we find the value of L(3) by the recursion formula.
STEP 3:-when we get the value of L(3) and L(2) substitute this value in L(4) = L(3) + L(2) to get the value of L(4).
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Marj needs to round $345.67$, and she wants the result to be as large as possible. She has to round to the nearest thousand, the nearest hundred, the nearest ten, the nearest integer, the nearest tenth, or the nearest hundredth. What is the largest possible rounded value she can attain?
Answers
The highest she can round to is $350
area model of 2(4+7)
Answers
Answer:
22
Step-by-step explanation:
2×4=8
2×7=14
14+8=22
Simplify the expression to get 22.
Use PEMDAS.
4+7=11
=2x11
Use the truth table method to decide whether the following statement form is a tautology, contradiction, or contingent form. (4 pts.) 5. ((p Vr)q)-(-4-r)
Answers
There are two cases where the whole statement is true, and four cases where the whole statement is false, which means that the statement is a contingent form. Thus, we can conclude that the statement ((p Vr)q)-(-4-r) is a contingent form.
The statement ((p Vr)q)-(-4-r) can be written as ((p or r) and q) or (not 4 or not r).
Now, let's create a truth table to determine if it is a tautology, contradiction, or a contingent statement:
The truth table is shown below:
p | q | r | (p ∨ r) ∧ q | 4 ∨ r | ¬(4 ∨ r) | ((p ∨ r) ∧ q) → (¬(4 ∨ r))
-----------------------------------------------------------------------
0 | 0 | 0 | 0 | 0 | 1 | 1
0 | 0 | 1 | 1 | 1 | 0 | 0
0 | 1 | 0 | 0 | 0 | 1 | 1
0 | 1 | 1 | 1 | 1 | 0 | 0
1 | 0 | 0 | 1 | 0 | 1 | 1
1 | 0 | 1 | 1 | 1 | 0 | 0
1 | 1 | 0 | 1 | 0 | 1 | 1
1 | 1 | 1 | 1 | 1 | 0 | 0
As we can see, there are two cases where the whole statement is true, and four cases where the whole statement is false, which means that the statement is a contingent form. Thus, we can conclude that the statement ((p Vr)q)-(-4-r) is a contingent form.
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What is the answer to this Khan assignment?
Answers
Answer:
y = \(\frac{2}{3}\) x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 6, 0 ) and (x₂, y₂ ) = (0, 4 ) ← 2 points on the line
m = \(\frac{4-0}{0-(-6)}\) = \(\frac{4}{0+6}\) = \(\frac{4}{6}\) = \(\frac{2}{3}\)
The line crosses the y- axis at (0, 4 ) ⇒ c = 4
y = \(\frac{2}{3}\) x + 4 ← equation of line