Answer:
Explained below.
Step-by-step explanation:
The complete question is:
Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior. He records how long they slept (in hours), how many bananas they ate, gender, age (in years), and the specific breed of monkey.
(a) What are the individuals in this data set?
(b) Identify the variables that were recorded, and indicate whether each one is categorical or quantitative?
Solution:
(a)
The term "individuals", in statistics, implies or denotes the objects or people included in a statistical study.
In this case it is provided that Mr. Molesky observes a group of monkeys for 24 hours to learn about their behavior.
So, the "individuals" in this data set are the monkeys.
(b)
Categorical variables belong to a certain category or label values. Such as gender of a person, state from which a person is from, color of the marble and so on.
Quantitative variables are those variables that assume numerical values and represent some sort of measurement. Such as height, weight, annual income of the people working at the same place and so on.
In this case the variables are:
Number of bananas the monkeys ate - Quantitative variable
Gender - Categorical variable
Age (in years) - Quantitative variable
Specific breed of monkey - Categorical variable
The individuals in the data set refers to each monkey used in the experiment.
The variables in the experiment include :
Number of bananas = QUANTITATIVE (DISCRETE) gender = QUALITATIVE (MALE OR FEMALE) Age (in years) = QUANTITATIVE (discrete) and the specific breed of monkey = QUALITATIVE.Individuals used in a research refers to each species or subject used in the research finding.
QUALITATIVE or categorical variables are used as labels rather than numerical values. They include gender, colors , and so on. QUANTITATIVE variables involves numerical variables upon which basic mathematical operations may be performed.DISCRETE variables involves variables whose values or numbers can be obtained by counting.while
CONTINUOUS variables include variable measure are obtained by measurement such as height and weight.
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Complete question :
Mr. Molesky observes a group of monkeys for 24 hours to learn about
their behavior. He records how long they slept (in hours), how many bananas they ate, gender, age (in years), and the specific breed of monkey.
(a) What are the individuals in this data set?
(b) Identify the variables that were recorded, and indicate whether each one is categorical or quantitative(continuous), or quantitative(discrete), make sure tell me which one is continuous and which one is discrete
is 7/18 rational or irrational
7/18 is a rational number. A rational number is one that may be expressed as a fraction or as a component of a whole number.
What is a rational number?
Any number that can be stated as a fraction or as a portion of an entire number is considered rational.
The given number in the problem is;
7/18
The number is in the form of p/q and the denominator value is greater than the numerator in fraction form, so that the given number is a rational number.
Hence,7/18 is a rational number.
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F(x-1) = (x-1)^2 + 3(x-1) - 2
Answer:
F(x−1)=x2+x−4
Explanation:
Substitute the given value into the function and evaluate.
Explain what happens when you solve the mathematical sentence 4 – ( -5)
Answer:
4-(-5)=4+5=9
Step-by-step explanation:
Instead of subtracting the numbers, the subtraction sign and the negative sign in front of the 5 combine to make one big plus sign, therefore resulting in the equation becoming 4+5=9.
A polnt represents:
line segment
a location
O intersection of a plane
none of the above
A point represents a location. A coordinate on a plane .
The intersection of two planes is a line.
At 4:41 P.M., Olivia started to make orange juice. She got out twelve oranges, juiced them, and drank the juice. When she finished it was 5:35 P.M. How long did it take to make and drink the juice? hours minutes
Answer:
54 Minutes
Step-by-step explanation:
subtract 35 from 41=6SUBTRACT 6 minutes from a hourthat gives you 54 minutesIn the figure below, the measure of
True
False
Answer:
The answer to this is true because they are open at the same angle
Mason loves collecting sea glass from the beach. He recorded the weight of each jar full of sea glass. If he decided to distribute the sea glass equally among the jars, how much would each jar weigh? pounds (Write mixed numbers as x y/z.)
The missing weights are:
2 2 2 1 11 12 12 2 24 22 24 3 37 22
Answer:
[tex]Average = 12\frac{4}{7} \ lb[/tex]
Step-by-step explanation:
Given
Weight of sea glass
To solve this question, we have to calculate the mean of the weight of the sea glass as follows;
[tex]Average = \frac{\sum x}{n}[/tex]
Where n = number of sea glass
[tex]n = 14[/tex]
So:
[tex]Average = \frac{\sum x}{n}[/tex] becomes
[tex]Average = \frac{2 +2 + 2 + 1 + 11 +12 +12 +2 +24+22 +24 +3 +37+ 22}{14}[/tex]
[tex]Average = \frac{176}{14}[/tex]
[tex]Average = 12\frac{8}{14}[/tex]
Simplify fraction
[tex]Average = 12\frac{4}{7}[/tex]
Hence; the weight of the sea glass would be [tex]12\frac{4}{7}\ lb[/tex] when evenly distributed...
The area of a rectangle is represented by the formula A = lw, where I is the length
and w is the width. Solve the formula(equation) for width(w). *
Answer:
w= A / l
Step-by-step explanation:
A = lw
Where,
A= Area of a rectangle
l= Length of a rectangle
w= width of a rectangle
Area of a rectangle = length × width
Solve the formula(equation) for width(w).
A= lw
Divide both sides by l
A / l = lw / l
A / l = w
Width = Area of the rectangle / length of the rectangle
Example: Find the width of the rectangle with length of 6 inches and Area of 12 square inches.
A= 12 square inches
l= 6 inches
w= x inches
A= lw
w= A / l
= 12 / 6
= 2
w = 2 inches
Pleaseee help I need fast and right
Answer: e. x≠2 f. x≥-1/2
Step-by-step explanation:
Domain is basically the x value of a function.
----------------------------------------------------------------
Question e.
g(x)=5/(2-x)
First, keep in mind, the denominator of a fraction can not be zero or else it will be undefined.
Since x is in the denominator: 2-x≠0
2-x≠0
x≠2 Yes, this is the domain----------------------------------------------------------------
Question f
h(x)=√(2x+1)
For a standard square root, the value inside can't b negative
So 2x+1≥0
2x≥-1
x≥-1/2 Yes, this is the domainHope this helps!! :)
Please let me know if you have any question
h(t) = 4t+20 What is h(_____)=4?
Answer: -4
Step-by-step explanation:
For the function 4t + 20, the value of t is -4.
What is function?Function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.
The given value of function h(t) = 4t + 20.
To find the value of t when h(t) = 4.
Substitute, h(t) 4.
4t + 20 = 4
4t = 4 - 20
4t = - 16
t = -4.
The required value of t is -4.
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Find the zeros of the function.
Enter the solutions from least to greatest.
h(x) = (-4x – 3)(x – 3)
lesser x =
greater x =
Answer:
x = -3/4 or x = 3
Step-by-step explanation:
Solve for x over the real numbers:
(-4 x - 3) (x - 3) = 0
Hint: | Find the roots of each term in the product separately.
Split into two equations:
-4 x - 3 = 0 or x - 3 = 0
Hint: | Look at the first equation: Divide both sides by the sign of the leading coefficient of -4 x - 3.
Multiply both sides by -1:
4 x + 3 = 0 or x - 3 = 0
Hint: | Isolate terms with x to the left hand side.
Subtract 3 from both sides:
4 x = -3 or x - 3 = 0
Hint: | Solve for x.
Divide both sides by 4:
x = -3/4 or x - 3 = 0
Hint: | Look at the second equation: Solve for x.
Add 3 to both sides:
Answer: x = -3/4 or x = 3
Answer:
lesser x = -3/4
greater x =3
Step-by-step explanation:
h(x) = (-4x – 3)(x – 3)
Set the function equal to zero to find the zeros
0 = (-4x – 3)(x – 3)
Using the zero product property
0 = (-4x – 3) 0=(x – 3)
Solve each equation
3 = -4x 3 =x
-3/4=x 3 =x
lesser x = -3/4
greater x =3
Triangle ABC is shown below. Triangle A B C is shown. The length of side A B is 2 x, the length of side B C is 4 x minus 10, and the length of side A C is 3 x minus 7. Angle A B C and B C A are congruent. What is the length of line segment AC? 7 9 14 18
The length of line segment AC of the given triangle is; 14
How to find the length of the line segment?Since Angle ABC and BCA are congruent, it means that they are equal.
An isosceles triangle is a triangle that has two equal sides and two equal base angles.
Now, since Angle ABC and BCA are equal, it means that the triangle is an isosceles triangle. It also means that sides AC and AB are equal. The expression becomes;
3x - 7 = 2x
3x - 2x = 7
x = 7
To determine the length of line segment AC. We will substitute x = 7 into 3x - 7. It becomes
(3 × 7) - 7
= 21 - 7 = 14
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The line a bus arrives at the bus stop every 25 minuetes, and the line B busarrived every 15 minuetes both are at the bus stop right now. In how many minutes will both be at the bus stop again
Answer: 75 minutes.
Step-by-step explanation:
Given that the line a bus arrives at the bus stop every 25 minuetes, and the line B busarrived every 15 minuetes both are at the bus stop right now.
In how many minutes will both be at the bus stop again?
We can achieve that by finding the LCM of 25 and 15
The LCM of both will be 3, 5 and 5
That is, 3 × 5 × 5 = 75 minute.
Therefore, both will be at the bus stop again in the next 75 minutes or 1 hour 15 minutes.
How many dots would be in the 7th picture ?
Answer: 28 dots
Step-by-step explanation: In this pattern,
we can see the the first figure is just 1 dot.
The second figure has a new row on the bottom with 2 dots.
The third figure has a new row on the bottom with 3 dots
and the fourth figure has a new row on the bottom with 4 dots.
So continuing with this pattern,
the next figure will have a new row with 5 dots,
the next will have a new row with 6 dots,
and the next will have a new row with 7 dots.
So in the 7th picture, we will have 7 + 6 + 5 + 4 + 3 + 2 + 1 dots.
This simplifies to 28 dots.
Take a look below.
What decimal is equivalent to 45/54
Answer:
0.83
Step-by-step explanation:
[tex] \frac{45}{54} \\ [/tex]
Use 3 to divide through
[tex] \frac{5}{6 } = 0.8333333[/tex]
The table shows the price for different numbers of cupcakes: Number of Cupcakes Price (in dollars) 3 12 4 16 5 20 7 28 Does this table of numbers represent a proportional relationship? (
Answer:
Yes
Step-by-step explanation:
If you put all of those points on a graph you get a slope of 4 and a perfectly straight line.
Answer:
The answer is Yes, because the price is 4 times the number of cupcakes because 3 × 4 = $12, 4 × 4 = $16.
Step-by-step explanation:
What two properties are used in the following solution to 4b - 3 17?
4b-3 = 17
45-3+3 = 17+ 3
4b = 20
46 20
4-4
b = 5
A Addition Property of Equality and Division Property of Equality
B Subtraction Property of Equality and Addition Property of Equality
C Multiplication Property of Equality and Distributive Property
D Subtraction Property of Equality and Zero Product Property
A rectangle has a length that is 8 less than its width, w. The perimeter is 52. Which equation can be used to determine its width?
You install 404 feet of fencing along the perimeter of a rectangular yard.
The width of the yard is 100 feet. What is the length of the yard?
Answer:
The length of the yard is 102
Step-by-step explanation:
If the width of the yard is 100 feet, and it's a rectangular, that means the other side of the rectangle is also equal to 100 feet. So so far we have 200 feet of the yard covered. Then we do 404-200=204. So the combined length of both the sides is 204. Since they both equal the same length, we can then do 204/2 to get 102. So one side length is 102 and the L, W, L, W of the rectangle is 102, 100, 102, 100. In other words, the rectangle is 102 by 100.
Answer:
Length of the yard = 102 ft
Step-by-step explanation:
Perimeter of the yard P = 404 ft
Width of the yard W = 100 ft
Find Length of the yard L = ?
Perimeter of a rectangular = 2L + 2W
404 = 2L + 2(100)
2L = 404 - 200
2L = 204
L = 204 / 2
L = 102 ft
What common error(s) did this student make? What is the correct solution for x? Please help
Answer:
10x - 5(x - 1) = 20
10x - 5x + 5 = 20
5x + 5 = 20
5x = 20 - 5
5x = 15
x = 15/5
x = 3
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
The first error was in the 2nd line: -5(x - 1) is -5x + 5, not -5x - 5 = 20.
Continuing the solution:
10x - 5x + 5 = 20
Combining like terms, we get
5x = 15, and so x = 3
What shape would you get if you cut off one of the corners of a rectangular prism?
Answer:
Different cuts can produce cross sections that are congruent to the base, a side, or even triangles if the cut is through the corner of a prism. A slice that is not parallel to the base and contains points from the four vertical edges of the prism reveals a parallelogram.
Step-by-step explanation:
hope this helps
Answer:
An irregular pentagonal prism
What is 8/12k+3/12k=22?
Greetings from Brasil...
let's multiply both the 1st and 2nd members by 12k:
(8/12K) + (3/12K) = 22 x12K
8 + 3 = 264K
K = 11/264Please help! x+25=100
Please help me I need to get the right answer
Answer:
b. -2
Step-by-step explanation:
[tex]y =-x-2[/tex]
Let x equal 0
[tex]y = -(0) -2\\y =-0-2\\y =-2[/tex]
Answer:
B
Step-by-step explanation:
So we have the equation:
[tex]y=-x-2[/tex]
This is in the slope-intercept form, where:
[tex]y=mx+b[/tex]
m is the slope and b is the y-intercept.
From the given equation, m is -1 and b is -2.
Therefore, the y-intercept is -2.
Our answer is B
I am a number with 45 tens and 3 ones. What number am I
Answer:
453
Step-by-step explanation:
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18. What is the range of y=x+3^2?
A) {3^2}
B) {1, 3, 9}
C) All real numbers except 9.
D) All real numbers
Answer:
Step-by-step explanation:
y=x+3² if this is the equation then it is all real numbers
Liam's breakfast was an egg and cheese biscuit with a carton of milk. He spent a total of $5.65. Finn spent $7.65 on an egg and cheese biscuit and two cartons of milk. How much was an egg and cheese biscuit?
Answer:
An egg and cheese biscuit was $3.65.
Step-by-step explanation:
Liam's breakfast was:
[tex] P = E + C + M [/tex]
Where:
P: total price
E: egg
C: cheese biscuit
M: carton of milk
[tex] P = E + C + M [/tex]
[tex] 5.65 = E + C + M [/tex] (1)
Now, Finn's breakfast was:
[tex] P = E + C + 2*M [/tex]
[tex] 7.65 = E + C + 2*M [/tex] (2)
By subtracting equation (2) from (1) we have:
[tex] 7.65 - 5.65 = 2M - M [/tex]
[tex] M = 2 [/tex]
Hence, the price of a carton of milk is $2, so by entering this value into equation (1) we can find the price of an egg and cheese biscuit:
[tex] 5.65 = E + C + M [/tex]
[tex] 5.65 - 2 = E + C [/tex]
[tex] E + C = 3.65 [/tex]
Therefore, an egg and cheese biscuit was $3.65.
I hope it helps you!
Serenity's monthly bank statement showed the following deposits and withdrawals:
-−$66.85, -−$117.44, $18.84, -−$104.13, $91.23
If Serenity's balance in the account was $45.71 at the beginning of the month, what was the account balance at the end of the month?
Answer:
22.45
Step-by-step explanation:
Answer: The correct answer is -132.64
As of 2016 New York City has a population of 8.55 million and a land area of 300 square miles. Manhattan is a section of New York City that has a land area of 23 square miles and a population of 1.64 million.
How much greater is the population density of Manhattan than that of New York City?
Answer:
42,804.35 million people per miles
Step-by-step explanation:
Population density = Number of people / Land area
New York
Population = 8.55 million
Land area = 300 square miles
Manhattan
Population = 1.64 million
Land Area = 23 Square miles
Population density of New York = Number of people / Land area
= 8.55 million / 300 Square miles
= 8,550,000 / 300
= 28,500 people per square miles
Population density of Manhattan = Number of people / Land area
= 1.64 million / 23 miles
= 1,640,000 / 23
= 71,304.35 million people per square miles
Difference between Manhattan and new York City = 71,304.35 - 28,500
= 42,804.35 million people per miles
Therefore,
The population density of Manhattan is greater than that of New York City by 42,804.35 million people per miles
The difference between the population densities of Manhattan and New York is 42,804 people per square mile.
The density of New York is:
= Population / Area
= 8,550,000 / 300
= 28,500 people per square mile
Density of Manhattan:
= 1,640,000 / 23
= 71,304 people per square mile
The difference is:
= 71,304 - 28,500
= 42,804 people per square mile
In conclusion, Manhattan's population density is 42,804 people per square mile higher than New York City's.
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Solve: 8 [-4 (3-2)] *
Answer:
32
Step-by-step explanation:
simplify
8 [-4 (3-2)]
multiply
8 [-4 (1)]
take absolute value: four becomes positive
8 [-4]
solve
8*4
32
Answer:
i believe its -32
Step-by-step explanation:
Well you start in the parentheses and you get 1 and then you multiply -4 x 1 and you get -4 and then multiply that by 8 and get -32
hope this helps