Suppose that the correlation between educational level attained and yearly income is +0.68. This indicates that there is a positive and strong relationship between educational level and yearly income.
It means that as the level of education attained increases, the yearly income also tends to increase. However, it is important to note that correlation does not imply causation, and there could be other factors that contribute to the relationship between education and income.
Based on the provided correlation coefficient of +0.68 between educational level attained and yearly income, we know that there is a positive and moderately strong relationship between the two variables. As a person's education level increases, their yearly income is also likely to increase.
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Answer:
0.040 "<" 0.207
Step-by-step explanation:
0.040
0.207
We can see that there is a 2 in 0.207 in the tenths spot, which automatically makes it larger than 0.040.
Write an inequality using the "<" sign:
0.040 < 0.207.
Hope this helps!
Please help! Due soon
Answer:
its 2/6
Step-by-step explanation:
name the property of real numbers illustrated by each equation
The property of real numbers illustrated by each equation depends on the specific equation. However, some common properties of real numbers include the commutative property, associative property, distributive property, identity property, and inverse property.
The property of real numbers illustrated by each equation depends on the specific equation. However, there are several properties of real numbers that can be applied to equations:
commutative property: This property states that the order of addition or multiplication does not affect the result. For example, a + b = b + a and a * b = b * a.associative property: This property states that the grouping of numbers in addition or multiplication does not affect the result. For example, (a + b) + c = a + (b + c) and (a * b) * c = a * (b * c).distributive property: This property states that multiplication distributes over addition. For example, a * (b + c) = (a * b) + (a * c).identity property: This property states that there exist unique elements called identity elements for addition and multiplication. For addition, the identity element is 0, and for multiplication, the identity element is 1. For example, a + 0 = a and a * 1 = a.inverse property: This property states that every real number has an additive inverse and a multiplicative inverse. The additive inverse of a number a is -a, and the multiplicative inverse of a non-zero number a is 1/a. For example, a + (-a) = 0 and a * (1/a) = 1.Learn more:About property of real numbers here:
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Can yall help me please it's due for tomorrow
Answer:
I think it would be 160 degrees
Step-by-step explanation:
Answer:
160 degrees
Step-by-step explanation:
The whole protractor is 180 degrees. B is at the 180 mark but E is at 20. So, the the angle of BAE would be 180-20=160 degrees.
A rental car costs $65.95 if 30 miles are driven and $75.95 if 50 miles are driven. Construct
the equation in slope intercept form that represents the cost of a rental car.
Answer:
y = 0.5x + 50.95
Step-by-step explanation:
Given y is total cost while x is total miles
Slope: m = (y2-y1)/(x2-x1)
m = (75.95-65.95)/(50-30) = 10/20 = 0.5
y = mx + b
y = 0.5x + b
75.95 = 0.5(50) + b
b = 50.95
Slope intercept form: y = 0.5x + 50.95
Terri pays a monthly cell phone fee of $10. She pays 5 cents for each minute that she talks. If Terri does not make any calls, what would her bill be?
Answer:
$10
Step-by-step explanation:
We Know
Terri pays a monthly cell phone fee of $10. She pays 5 cents for each minute that she talks.
Let C be the total cost, and x be the number of minutes she talks; we have the equation.
C = 0.05x + 10
If Terri does not make any calls, what would her bill be?
C = 0.05(0) + 10
C = $10
So, her bill will be $10
I need help solving this problem.I have to find the missing sides of the special right triangle
As given by the question
There are given that the right angle triangle
Now,
From the triangle, first, find the value of ST
So,
To find the value of ST, use the sine function
Then,
\(\sin 30^{\circ}=\frac{ST}{RT}\)Then,
\(\begin{gathered} \sin 30^{\circ}=\frac{ST}{RT} \\ \frac{1}{2}^{}=\frac{ST}{12} \\ 2\times ST=12 \\ ST=\frac{12}{2} \\ ST=6 \end{gathered}\)Now,
To find the value of RS, use sine function also
So,
\(\begin{gathered} \sin 60=\frac{RS}{RT} \\ \frac{\sqrt[]{3}}{2}=\frac{RS}{12} \\ 2\times RS=12\times\sqrt[]{3} \\ RS=\frac{12\times\sqrt[]{3}}{2} \\ RS=6\sqrt[]{3} \end{gathered}\)Hence, the value of ST and RS is shown below:
\(undefined\)bob's father is three times as old as he is. four years ago, bob's father was four times as old as he is. how old are bob and his father
So, Bob is 12 years old and his father is 36 years old solved by using the substitution method.
To determine the ages of Bob and his father, let's use the given information and set up two equations.
Let Bob's age be represented as B and his father's age as F. The terms provided are:
1. Bob's father is three times as old as he is: F = 3B
2. Four years ago, Bob's father was four times as old as he is: F - 4 = 4(B - 4)
Now, we can solve these equations simultaneously. Substituting the first equation into the second equation, we get:
3B - 4 = 4(B - 4)
Simplify the equation:
3B - 4 = 4B - 16
Add 4 to both sides:
3B = 4B - 12
Subtract 4B from both sides:
-B = -12
Finally, divide by -1:
B = 12
Now that we know Bob's age, we can find his father's age using the first equation:
F = 3B
F = 3(12)
F = 36
So, Bob is 12 years old and his father is 36 years old.
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plz help, The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
Answer:
The real solutions of f(x)=0 are: 0, 2, 5, 6
Step-by-step explanation:
We are given:
The graph of y = f(x)
We need to find all of the real solutions of f(x) = 0?
By looking at the graph we need to find the values of y when x =0
Looking at the graph, when x=0 we get
0, 2,5 and 6
So, the real solutions of f(x)=0 are: 0, 2, 5, 6
I am attaching the figure, that determines the answers.
M Investigating Graphs of Polynomial Functions, Part 1 Identify the correct leading coefficient, degree, and end behavior of P(x) = 4x5 + 9x4 + 6x³ - x² + 2x - 7. leading coefficient: 4 degree: 5 end behavior: as x-c -00, P(x)--00 as x- +00, P(x) 4 +00 leading coefficient: 4 degree: 5 end behavior: as x-> -00, P(x) +0, as x +[infinity], P(x)--0 leading coefficient: 5 degree: 4 end behavior: as x --, P(x)--0 as x +00, P(x)- +00 Indr evious Submitting an external tool YERJEVI p
The correct is leading coefficient: 4, degree: 5, end behavior: as x approaches negative infinity, P(x) approaches negative infinity; as x approaches positive infinity, P(x) approaches positive infinity.
The correct leading coefficient of the polynomial function P(x) = 4x^5 + 9x^4 + 6x^3 - x^2 + 2x - 7 is 4. The degree of the polynomial is 5, which is determined by the highest power of x in the polynomial.
The end behavior of the function is determined by the leading term, which is the term with the highest degree. In this case, the leading term is 4x^5. As x approaches negative infinity, the value of P(x) approaches negative infinity, and as x approaches positive infinity, the value of P(x) also approaches positive infinity.
Therefore, the correct end behavior is:
- As x approaches negative infinity, P(x) approaches negative infinity.
- As x approaches positive infinity, P(x) approaches positive infinity
The given options for leading coefficient, degree, and end behavior do not match the polynomial function provided. The correct answer is leading coefficient: 4, degree: 5, end behavior: as x approaches negative infinity, P(x) approaches negative infinity; as x approaches positive infinity, P(x) approaches positive infinity.
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6.5 x 6.4 pls help me send a step by step picture because I’m very confused thank you !
Answer:
Check out the image below!
Step-by-step explanation:
Find 88. 96% of 281. Round to the nearest thousandth
There are 12 boys and 12 girls in Ms. Mooney’s homeroom class. Ms. Mooney will randomly pick 1 student to take attendance today.
Which statement explains how to find the probability that Sara, a student from Ms. Mooney’s homeroom class, will be the student picked?
PLEASE HELP
Answer:
There is a \(\frac{1}{24}\) chance that Sara will be picked.
There is a 4.16% chance that Sara will be picked.
Step-by-step explanation:
there are 12 boys + 12 girls in Mooney's class => 24 total students
Sara is ONE out of those students
Sara is \(\frac{1}{24}\).
\(\frac{1}{24}\) as a percent is 4.16%.
There are 5 1/4 yards of silk in a roll. If it takes 3/4 of a yard to make one designer scarf, how many scarves can be made from the roll?
so you do 5 1/4 minus 3/4 and then you get your awnser
An 8 Ounce cup of coffee cost $3.50. if the unit price
Remains the same, how much would 2 quarts of coffee cost?
Answer:
$28
Step-by-step explanation:
There are 32 ounces in a quart. This problem wants you to know the cost of 2 quarts, or 64 ounces. 8 oz = $3.50, so now divide 64 by 8, = 8. Multiply $3.50(8)= $28.
Suppose the length of the tube used in our experiment is 4 m and a tuning fork of frequency 321 hz is used in air where the speed of sound is 342. 4 m/s? (give your answers as integers. For this question, the length of the tube is of the entire plastic cylinder, and not the adjustable length of the air column). How many resonances will be observed?.
9.028 many resonances will be observed when a tuning fork with a frequency of 321 Hz is used in air with a sound speed of 342 m/s.
Given that,
When a tuning fork with a frequency of 321 Hz is used in air with a sound speed of 342 m/s, how long is the tube utilized in our experiment, 4 m?
We have to find what many of resonances will be seen.
We know that,
The length of the tube is Lₙ=4 m
Frequency is ν = 321 hz
Speed of sound is v = 342 m/s
We know that,
ν=vλ
321=342λ
λ=321/342
λ=0.938
Now,
Lₙ=(2n+1/4)λ
4=(2n+1/4)0.938
n=8.028
We get,
N=n+1=8.028+1=9.028
Therefore, 9.028 many resonances will be observed when a tuning fork with a frequency of 321 Hz is used in air with a sound speed of 342 m/s.
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new legislation is passed requiring a riparian zone by the family's waterway. this will reduce the size of their field by 15% how much money will the family lose per year by having this riparian zone on their farm
The amount of money lost per year is 15x
Where 100x can be any amount
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Let the total amount of money earned in a year from the field = 100x
The new field area.
= 100% - 15%
= 85%
Now,
The amount of money earned in a year from the new field area.
= 85% of 100x
= 85x
Now,
The amount of money lost per year.
= 100x - 85x
= 15x
Thus,
If 15% of the field is reduce the amount of money lost per year is 15x
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i need answers quick!!!
2x+2y
-6b-15
10c-25
If the cost is depreciated at the rate of 4% per annum, the cost of motorcycle after 3 years becomes Rs 110592, find the original price of the motorcycle.
After answering the presented question, we can conclude that equation Therefore, the original price of the motorcycle is Rs 125700.
What is equation?In mathematics, an equation is a proposition that states the equivalence of two expressions. An equation consists of two sides separated by a system of equations (=). For instance, the statement "2x + 3 = 9" states that the word "2x Plus 3" equals the integer "9". The goal of solving equations is to find the value or amounts of the variable in the model) that will permit the calculation to be accurate. Mathematics can be simple or complex, linear or nonlinear, and contain one or more parts. For example, in the equation "x2 + 2x - 3 = 0," the variable x is raised to the power of 2. Lines are used in many areas of mathematics, including algebra, arithmetic, and geometry.
Let the original price of the motorcycle be P.
Depreciation per year = 4% of P = 0.04P
Cost of motorcycle after 3 years = P - 3(0.04P) = P - 0.12P = 0.88P
\(0.88P = Rs 110592\\P = Rs (110592/0.88)\\P = Rs 125700\)
Therefore, the original price of the motorcycle is Rs 125700.
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five families each have 3 kids. each kid has a 1/4 chance of having blue eyes. what is the probability that at least 2 of the 5 families have at least 2 kids with blue eyes?
On solving the provided question, we can say that Probability of at least 2 of the 5 families have at least 2 kids with blue eyes P =\(10/37 = 0.2703\)
what is probability?A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1.
The likelihood that two or more of the three kids have blue eyes is = \((1/4 *1/4 * 1/4) + 3(1/4 * 1/4 * 3/4) = 10/64.\)
However, since it is assumed that at least one child has blue eyes, the possibility of their being no blue-eyed offspring is excluded. \((3/4 * 3/4 * 3/4) = 27/64\) is eliminated, leaving 37/64 as the remaining valid domain. As a consequence, the reciprocal of the remaining valid domain (64/37) must be multiplied by the result in (1) above (10/64). This results \(10/64 * 64/37 = 10/37.\)
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For which set of data points (1-20 or 21-50) is it more important to avoid classification errors?
Based on the classification error expression, the set of data points that it is more important to avoid classification errors for is 21 - 50.
Which set of data points is prone to classification errors?The set of data that one has to be careful in to avoid classification errors is the 21 - 50 set because of its multiplier for classification errors.
This multiplier for classification errors is 200 for the set, 21 - 50 which means that a classification would be much larger in this set than the 1 - 20 set where the multiplier is 5.
Rest of the question is:
∑20=15×{0,1−(∑=1+0)} +∑50=21200×{0,1−(∑=1+0)}
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Does the equation y = √x-10 define y as a function of x?
y = √x-10
Since if we plug an input value x, we will obtain an output value y:
For example:
x =20
y = √20-10= √20
The answer is YES.
Can someone help me please
Answer:
corvette corvette.
Step-by-step explanation:
or
1. The starting point of a___ or____
is the endpoint.
Answer:
1. The starting point of a ray or line segment
is the endpoint.
Step-by-step explanation:
hope it may help you!
Answer:
The starting point of a ray or line segment is the endpoint.
Step-by-step explanation:
hope it may help you
Solve the simultaneous equation.
The value of a = -2 and b = 3.
What is a system of equations?
A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
Here, we have
Given: 3a - 5b = -26, a + 2b = 6
We have to solve this equation.
3a - 5b = -26...(1)
a + 2b = 6...(2)
Now we multiply equation (1) by 2 and equation (2) by 5 and we get
6a - 10b = -52....(3)
5a + 10b = 30....(4)
After solving equations (3) and (4), we get
11a = -22
a = -2
Now we put the value of 'a' in equation(3) and we get
6(-2) - 10b = -52
-10b = -52 + 12
-10b = -30
b = 3
Hence, the value of a = -2 and b = 3.
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A stem and leaf plot titled High Temperatures in degrees Fahrenheit. The stems are 4, 5, 6, 7. The first column of leaves are 9, 2, 0, 2. The second column of leaves are blank, 4, 1, 3. The third column of leaves are blank, 4, blank, blank. The fourth column of leaves are blank, 6, blank, blank. The fifth column of leaves are blank, 8, blank, blank. The stem and leaf plot shows high temperatures recorded each day at the beginning of the month. Which temperature occurs the most frequently
Answer:
The temperature with the highest frequency is 54
Step-by-step explanation:
Given
The above data
Required
The temperature with the highest frequency
The first step, is to plot the stem and leaf plot.
\(\begin{array}{cc}{4} & {9\ \ } & {5} & {2\ 4\ 4\ 6\ 8} & {6} & {0\ 1\ } & {7} & {2\ 3\ } \ \end{array}\)
Next, is to identify the leaf with the highest frequency.
The leaf is 4 (with frequency 2)
Next, is to identify the accompanying stem of the leaf
The stem is 5
Hence, the temperature with the highest frequency is 54
Answer:
B
Step-by-step explanation:
edg 2021
(a) select one of the pairs of systems and write down its number. (b) for the pair selected, identify each system and state one function of that system. (c) explain how the two systems work together to help maintain homeostasis in an individual.
a. Pair 2 is selected.
b. Respiratory system, its function is to breathe. Digestive system, its function is to break down food into nutrients.
c. The two systems work together by sharing the region of the mouth and upper throat.
First picture in Pair 2 is Respiratory system, which its function is to breathe. Second picture in Pair 2 is Digestive system, which its function is to break down food into nutrients such as carbohydrates, fats and proteins. The respiratory system takes in oxygen from the air, and also gets rid of carbon dioxide. The digestive system absorbs water and nutrients from the food we consume.
How does the respiratory system and the digestive system work together?The respiratory system is mainly used to transport air, whilst the digestive system is used to transport fluids and solids, from water and food we eat. The respiratory and the digestive systems share the area of the mouth and upper throat, in which air, fluids, and solids can be mixed.
The digestive system does homeostasis by ensuring that the stomach area has the right pH balance. The body uses both positive and negative mechanisms to perform homeostasis. If the body detects an imbalance, the other systems work together to counterbalance and restore the right equilibrium.
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there are five different equivalence relations on a three-element set. draw five directed graphs, each one representing one of these equivalence relations. 3
To draw the directed graphs representing the five different equivalence relations on a three-element set, we can label the elements as A, B, and C. Here are the five directed graphs corresponding to each equivalence relation:
1. Reflexive Relation:
In a reflexive relation, each element is related to itself. The directed graph would have loops at each vertex representing the self-relationships:
```
A -> A
B -> B
C -> C
```
2. Symmetric Relation:
In a symmetric relation, if element A is related to element B, then element B is also related to element A. The directed graph would have arrows going in both directions between related elements:
```
A <- -> B
↖ ↘
C
```
3. Transitive Relation:
In a transitive relation, if element A is related to element B and element B is related to element C, then element A is also related to element C. The directed graph would have arrows connecting elements in a transitive chain:
```
A -> B -> C
```
4. Anti-Symmetric Relation:
In an anti-symmetric relation, if element A is related to element B, then element B cannot be related to element A, unless A and B are the same. The directed graph would have arrows in one direction, with self-loops:
```
A -> B
B -> B
C -> C
```
5. Equivalence Relation:
An equivalence relation combines reflexivity, symmetry, and transitivity. The directed graph would have arrows in both directions between related elements and loops at each vertex:
```
A <- -> B
↖ ↘
C
```
These directed graphs represent the five different equivalence relations on a three-element set.
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Help me pls !! Show with work thankkkk u sooo much !!!!!! :)
The diagram below shows two
similar isosceles triangles.
Р P.
S
8 cm
8 cm
o
4 cm
Q R 2 cm T
What is the length of ST in Triangle
RST?
A 6 cm
B 4 cm
C 12 cm
D 16 cm
Answer:
4 cm
Step-by-step explanation:
\(\frac{8}{ST} = \frac{4}{2} \\\\ST = 8*2 / 4\\ST = 4\)