Answer:
horizontal line: y = 12
vertical line: x = -3
Step-by-step explanation:
The horizontal line has 12 as the y-coordinate for all its points.
y = 12
The vertical line has -3 as the x-coordinate for all its points.
x = -3
Answer:
x = -3
y = 12
Step-by-step explanation:
For a point (x, y):
The first number represents the point's position on the x-axis.The second number represents the point's position on the y-axis.A horizontal line is represented by the equation y = a where (0, a) is the y-intercept of the line.
A vertical line is represented by the equation x = a where (a, 0) is the x-intercept of the line.
Therefore, for the given point (-3, 12):
x = -3y = 12on a particular busy section of the garden state parkway in new jersey, police use radar guns to detect speeding drivers. assume the time that elapses between successive speeders is exponentially distributed with the mean of 15 minutes. what is the probability of a waiting time in excess of 25 minutes between successive speeders?
There is an 18.92% chance that there will be a wait of more than 25 minutes between speeders.
Define probability.Information about the possibility that something will happen is provided by probability. For instance, meteorologists use weather patterns to forecast the likelihood of rain. Probability theory is utilized in epidemiology to comprehend the connection between exposures and the risk of health outcomes. Probability is the likelihood that something will occur or the probability that something will happen. Probability is the measure of how likely it is that a coin will land heads up after being tossed into the air.
Given,
On a particular busy section of the garden state parkway in new jersey, police use radar guns to detect speeding drivers. assume the time that elapses between successive speeders is exponentially distributed with the mean of 15 minutes.
Either the wait is over 25 minutes or it is less than 25 minutes. Decimal 1 represents the total of these events' probabilities. So,
P( X ≤ 25) + P(X > 25) = 1
For P(X > 25):
1 -P(X ≤ 25)
1 - e ⁻⁰⁶⁶⁶⁽²⁵⁾
0.1892
There is an 18.92% chance that there will be a wait of more than 25 minutes between speeders.
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What is the ratio of 1 1/2 hours to 50 minutes
Answer:
50 mins: 1 and a 1/2 hours
Answer:
9:5
Step-by-step explanation:
1.5 hours is equivalent to 90 minutes (60 x 1.5)
so it's a ratio of 90:50
this can be simplified to a ratio of 9:5 by dividing both sides by their shared factor of 10
Solve the equation given a domain of {-3}.
3x - 2y = 5
Solution of the equation 3x-2y = 5 for domain {-3} is (-3,-7).
Given,
Eq => 3x - 2y = 5
Domain = x = -3
Put x = -3 in equation
3(-3) - 2y = 5
-9 - 2y = 5
-9 - 5 = 2y
-14 = 2y
y = - 14 / 2
= -7
Hence, solution is (-3,-7).
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Does the following relation represent a function? {(16,7), (7,26), (15,16), (-7,15), (-8,26)} ?
Yes, No, There is not enough information to answer this question
students deliver newspapers and magazines to houses.
one day,they have to deliver 875 newspapers and 1200 magazines.
each student can deliver 35 newspapers or 50 magazines in 1 hour.
each student can only work for 8 hours
work out the minimum number of students needed
Answer:
4 students for newspapers & 3 students for magazines are needed for the deliveries to be made in a day.
Step-by-step explanation:
According to the question,
875 newspapers & 1200 magazines are to be delivered in a day by students.In an hour each student can deliver 35 newspapers or 50 magazines & each student can only work for 8 hoursSo, In 8 hours each student can deliver:
35 × 8 = 280 newspapers
50 × 8 = 400 magazines
To find out minimum number of students needed to work we need to divide work done by each student in 8 hours by total deliveries to be made.
[tex] \therefore[/tex]
For Newspapers:
875/280 = 3.125
So, by rounding of the figure we will need 4 students to deliver newspapers as each student can work only for 8 hours.
For magazines:
1200/400 = 3
3 students are needed to deliver magazines.
rove by induction that 3n < n! for all integers n greater than 6. state whether you are using regular or strong induction
We can use both regular and strong induction.
The Fundamentals of Inductive Mathematics (i.e., Regular Induction). If any of the following statements involving a positive number, n, are accurate: The claim is true if and only if n is 1. If the assertion is true for n=k, then it must also be true for n=k+1(x).
In a variation of induction known as strong induction, we make the assumption that the assertion is true for all values before k. This provides us with more information with which to work.
Regular Induction form
N>6 = n=7 in basic case
3n = 37 = 2187
N! = 7! = 5040
For n= 7 3n<n! is true
Induction hypothesis
Let for n= k and k>6
Assume 3k<k! is true
We prove that for k = k+1 the assumption holds true then the assumption must be true for k
K = k+1
3k+1 < (k+1)!
3k. 3 < (k+1) k!
3k < (k+1)/3.k!
For k>6
(k+1)/3 >1 and let (k+1)/3 = p
3k < P.k!
But we assumed that 3k < k! for k > 6 then 3k must be less than p.k1 since P>1
Therefore 3k<k! for k>6
3n < n! for all integers n greater than 6.
Therefore we can use both regular and strong induction
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14 The equation u = 0. 99c shows the value of the U. S. Dollar compared to
the Canadian dollar on one particular day, where c = the value of the
Canadian dollar and u = the value of the U. S. Dollar. The table shows
the value of the U. S. Dollar compared to the Australian dollar on the
same day. Was the U. S. Dollar closer in value to the Canadian dollar or
the Australian dollar that day?
N
t
sed the
the unit
Australian Dollar
1
2
3
4
compare
U. S. Dollar
0. 95
1. 90
2. 85
3. 80
Show your work.
On that specific day, the US dollar was worth more than the Canadian dollar and less than the Australian dollar.
Define the term comparison of numbers?In arithmetic, comparing numbers is described as the process or method of determining whether one number is smaller, bigger, or equal to some other number based on their values.The equation u = 0. 99c depicts the value of the US dollar in relation to the Canadian dollar on a specific day.
c = the Canadian dollar's valueu denotes the value of the US dollar.From the equation,
For Australian dollar; (from table)
u = 0.95 c -->
a = 1/0.95 u
a = 20/19 u
(20/19u - u)/ u = 1/19 ....1
For Canadian dollar:
u = 0. 99c
c = 1/0.99 u --> c = 100/99 u
Thus,
(100 u / 99 - u)/ u = 1/99 .....2
From 1 and 2]
1/19 > 1/99
Thus, on that specific day, the US dollar was worth more than the Canadian dollar and less than the Australian dollar.
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Evaluate x³ if x = 6
Show work pls
Answer:
216
Step-by-step explanation:
x^3
6^3
6x6x6
36x6
216
Hopes this helps pleas mark brainliest
Alana meauring hi dining room table to make a tablecloth the table i zero. 45 m longer than it i wide if it i 1. 06 m wide how long i it?
The length of the table is 1.51 meters.
Allan is measuring his dining room table to make a tablecloth. The table is 0.45 meter longer than it is wide. The width of the table is 1.06 meter. We need to find out the length of the table.
Let the length of the table be represented by the variable "L". In the context of a mathematical problem or experiment, a variable is a quantity that may vary. The length of the table is the sum of the width of the table and the difference between the two quantities.
L = 1.06 + 0.45
L = 1.51
Hence, the length of the table is 1.51 meters.
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Angles ABC and CBD are a linear pair. If m∠CBD=90°, what is m∠ABC in degrees?
NO LINKS OR FILES.
Measurement of ∠ ABC is 90°
What is Linear pair?A linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°.
Given that ∠ CBD and ∠ ABC are linear pairs,
Therefore, m∠ CBD + m∠ ABC = 180°
m∠ ABC = 180° - 90° = 90°
Hence, Measurement of ∠ ABC is 90°
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If Tristan borrows $4000 at an interest rate of 7.4% with a loan term of 3 years, how much does Tristan pay interest
The amount of Interest Tristan pays is $955.2
Given:
Tristan borrows $4000 at an interest rate of 7.4% with a loan term of 3 years.
we are asked to determine the interest Tristan pays for it:
we know:
P = $4000
r = 7.4%
t = 3 years.
Evaluate :
I = 4000(1+7.4%)³ - 4000
I = 4000(1+0.074)³ - 4000
I = 4000(1.074)³ - 4000
I = 4000(1.2388) - 4000
I = 4955.2 - 4000
I = 955.2
Hence we get the required interest as $955.2
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What’s the answer 60 points plus brainliest also explanation needs to be included
Answer:
both a and b
Step-by-step explanation:
It is because in the elimination method it does not matter whether you eliminate x or y so if you use option a which multiplies -2 by 1st equation so it will become:
-4x+6y=40
4x+6y=8
so the -4x and 4x cancels and a is a valid option.
If you use the b which multiplies the second with 3 it becomes:
2x-3y=-10
4x+3y=24
so -3y and 3y cancel which also makes this a valid option.
Answer: both a and b
9) Willie took a trip to Oman. Upon leaving he decided to convert all of his Rials back into dollars. How many dollars did he receive if he exchanged 12 Rials at the rate of 1 Rial to $3?
10) A rectangle is 2 in wide and 1 in tall. If it is enlarged to a width of 14 in then how tall will it be?
number 9 is 36 12x3 is 36
Identify the kind of sequence shown: 2,-1,-4, -7, -10, ... *
O Arithmetic
O Geometric
ONeither
Any nonzero integer divided by 0 equals 0.
Answer: False
Step-by-step explanation:
Can not divide a number by 0.
At a party, 60 drank malt, 48 drank beer, 36 drank cocacola, 20 drank both beer and cocacola, 18 drank both cocacola and malt, 15 drank malt and beer and 12 drank all the three. If there are 100 in the party, is the data consistent?
Answer:
no because 60+48+36 is 144
Step-by-step explanation:
please mark brainliest
The total number of people is 144. The data is not consistent.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that at a party, 60 drank malt, 48 drank beer, 36 drank cocacola, 20 drank both beer and cocacola, 18 drank both cocacola and malt, 15 drank malt and beer and 12 drank all the three.
The total number of the people in the party,
60+48+36 is 144
But it is given in the question that there are 100 in the party.
Therefore, the total number of people is 144. The data is not consistent.
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a group of people were given a spelling test. the table shows their marks. work out the range of the marks. how many students are in the group. work out the mean mark of the group.
Answer: a) = 4
b) = 30
Step-by-step explanation:
a) They are asking for the range of the marks so you do 10-6 as 10 is the highest mark and 6 is the lowest
b) You find this out by adding the frequency up 10+4+7+4+5 = 30
explain how to select a cluster sample of fans. what is the benefit of using a cluster sample in this context?
The cluster sample represents the the characteristic of group of same types objects.
What is the cluster sampling?
A population is divided into clusters, such as districts or schools, and some of these clusters are randomly chosen as your sample via the probability sampling technique known as cluster sampling. In a perfect world, each cluster would be a tiny reflection of the entire population.
A researcher intends to carry out a study to evaluate sophomores' abilities in business education across the United States. There is no way to carry out a research study with participants from every university. Instead, the researcher can group the universities from each city into a single cluster by utilizing cluster sampling. The sophomore student population in the United States is then comprised of these clusters. Next, select clusters at random for the research project using either simple random sampling or systematic random sampling. The sophomores from each of these determined groups can then be picked on whom to perform the research study utilizing simple or systematic sampling.
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solve this equation using the most direct method:
3x(x+6)=-10
Enter your solution in the exact, most simplified form. If there are two solutions, write the answer using (+-) symbol
The solution set for the given quadratic equation is (-0.62, -5.38).
The given equation is 3x(x+6)=-10.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Now, 3x(x+6)=-10
⇒ 3x²+18x=-10
⇒ 3x²+18x+10=0
By comparing 3x²+18x+10=0 with ax²+bx+c=0, we get
a=3, b=18 and c=10
Using quadratic formula x = [-b ± √(b² - 4ac)]/2a
= [-18 ± √(18² - 4×3×10)]/2×3
= [-18 ± √(324 - 120)]/6
= [-18 ± √(204)]/6
= [-18 ± √(204)]/6
= [-18 ± 14.28]/6
= [-18 + 14.28]/6 and [-18 - 14.28]/6
= -0.62 and -5.38
Hence, the solution set for the given quadratic equation is (-0.62, -5.38).
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simplify each expression x = 2x + 48
(please its for today
given a normal distribution with a mean of 50 and standard deviation of 5, what percent of the values are between 40 and 60? enter answer as a percent with no decimals.
For the given normal distribution, 95% of the values lie between 40 and 60.
Let the said distribution be X
Here it is given that X follows a normal distribution and it has a mean of 50 and a standard deviation of 5.
Therefore we can write X~ N(50, 25)
Now we need to find P(40< X< 60)
= P(40< X< 60) = P(X < 60) - P(X<40)
To find this we need to convert it into the form of a standard normal and then look up the p-values from the Z-table.
To do this we need to use the formula
P(X < x) = Φ[(x - μ) / σ]
where,
μ is the mean
σ is the standard deviation
Therefore we get
P(X < 60) - P(X<40) = Φ[(60 - 50) / 5] - Φ[(40 - 50) / 5]
= Φ[2] - Φ[-2]
Φ(-x) = 1 - Φ(x)
Therefore,
Φ[2] - Φ[-2]
= 2Φ(2) - 1
We get the p-value
2 X .97725 - 1
= 1.9545 - 1
= 0.9545
= 95% (approx)
Hence 95% of the values are between 40 to 60.
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In triangle ABC, the measure of angle C is 6 times the measure of angle B. 2 times angle A is 20 more than 3 time angle B. Find the measure of each angle in degrees.
Answer:
∠
A
=
x
=
32
∘
∠
B
=
3
x
=
3
⋅
32
=
96
∘
∠
C
=
x
+
20
=
32
+
20
=
52
∘
Step-by-step explanation: Every triangle adds up to 180.
Ojojo and fifi shared an amount of
ratio 3. 4 respectively.
money
If frifi had 140000 had much was
Shared ?
The total amount that was shared $245000 .
In the question ,
the ratio of amount shared by JoJo and Frifi is given
the ratio is given as 3:4 .
the amount that JoJo get = 3x
the amount that Frifi get = 4x
given that Frifi got $140000 .
So , 4x = 140000
Dividing both sides by 4 ,
we get ,
x = 140000/4
x = 35000
total amount shared = 3x + 4x = 7x
Substituting the values of x = 35000 , we get
total amount shared = 7*35000
= 245000
Therefore , The total amount that was shared $245000 .
The given question is incomplete , the complete question is
JoJo and Frifi shared an amount in the ratio 3:4 respectively , if Frifi had $140000 , then find the total amount that was shared ?
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2
Select the correct answer.
Which interval describes where the graph of the function is positive?
-8
O
O
O
B.
A. -∞ <<∞
C.
A
D.
N
-∞ < x < -1
-8∞ < < -2
-2 < < -1
Ň
-6
-8
-N
6 8
Option B is the correct answer, the interval in which the graph of the function is positive is -∞ < x < -1.
What do mean by interval?
In mathematics, a (real) interval is a collection of real numbers that includes all real numbers that fall inside any two of the collection's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 x 1. The set of all real numbers, the set of nonnegative real numbers, the set of positive real numbers, the empty set, and any singleton are additional examples of intervals.
As we can see in the graph provided in the question, the graph of function reach the positive side of the y-axis at x = -1, it means one of the two end point of the interval is going to be -1. And, the graph is constantly and slowing increasing it's value as increase in the x-axis therefore, the other endpoint of the interval cab be considered as negative infinity.
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how many ways are there to select 5 scoops of ice cream to put into a bowl, chosen from baskin robbins 31 flavors? a flavor may be selected multiple times.
In permutation, ³¹C₅ are there to select 5 scoops of ice cream to put into a bowl .
What are some examples of permutation?
A permutation is a set up of things in a specific order. Here, the components of sets are arranged in a linear or sequential order. For instance, the set A=1,6 has a permutation of 2, which is 1,6,1. The components of set A cannot be arranged in any other way, as you can see.Total ice cream flavor n = 31 flavor
selection of (r) = 5 scoop
total number of ways to select 5 scoops of ice cream from 31 flovers
= ³¹C₅
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In thi quetion, aume that the car ue the ame amount of petrol for each mile it travel. A car ue 55 litre of petrol to travel 495 mile. How much petrol would the car ue on a trip of 160 mile?
Give your anwer to the nearet litre
The car use 6.67 liters of petrol to travel 160 miles of distance.
Given, the car use the same amount of petrol for each mile it travels.
A car use 55 liters of petrol to travel 495 miles.
we have to find the petrol used to travel 160 miles.
As, 55 liters = 495 miles
495 miles = 55 liters
1 mile = 55/495 liters
Now, 160 miles = 55/495×160 liters
160 miles = 6.67 liters
So, the car use 6.67 liters of petrol to travel 160 miles of distance.
Hence, the car use 6.67 liters of petrol to travel 160 miles of distance.
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Paige works at a department store and has a commission rate of 3 percent. Her sales for the quarter were $4,596. If she earns $50 per day and she worked 30 days in the quarter, what is the total amount she earned?
The total amount of the money earned by Paige will be $1591.92.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Paige works at a department store and has a commission rate of 3 per cent. Her sales for the quarter were $4,596. If she earns $50 per day and she worked 30 days in the quarter.
The total amount of earnings will be,
TA = ( 50 x 30 ) + ( 0.02 x 4596)
TA = 1500 + 91.92
TA = $1591.92
Therefore, the total amount of the money earned by Paige will be $1591.92.
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what kind of autocorrelation is assumed in the classical linear regression model? what kind of autocorrelation is assumed in the classical linear regression model? positive autocorrelation negative autocorrelation no autocorrelation serial correlation g
We use the Serial Autocorrelation in the classical linear regression model.
In the classical linear regression model the serial autocorrelation is assumed to solve the problem.
Hence, we use the Serial Autocorrelation in the classical linear regression model.
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Use the real number line shown below to complete each statement.
The letter best represents −0.1525.
The letter best represents 9
5
.
The letter best represents −1
5
.
A number line goes from negative 0.5 to positive 1.8 and shows points negative 0.5, 0, positive 0.5, 1, and 1.5. Marks divide the space between each number into 5 equal parts. Point a is on the third mark and point b is halfway between the third and fourth mark to the right of negative 0.5, point c is on the second mark after 0, point d is between the second and third mark after positive 1, point e is on positive 1.5, and point f is on the third mark after positive 1.5.
Based on the real number line shown below, each statement should be completed as follows:
The letter b best represents −0.1525.The letter f best represents 9/5.The letter a best represents −1/5.What is a number line?In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.
This ultimately implies that, a number line primarily increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).
Therefore, both -0.1525 and -1/5 would be represented by the letters that are on the left hand side of the real number line while 9/5 would be represented by a letter that is on the right hand side, which are letters b, a, and f respectively;
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which graph represents a by traveling at a constant rate of 12 mph
There is no graph in your question
