To solve the inequality, add 13 to both sides. The solution is y < 15 or (∞, 15)
Tips to solve linear inequalities:
Isolate the variable on one side by using subtraction or addition. Subtraction and addition will not change the inequality.Use division or multiplication to find the solution. Multiplication and division by a positive number will not the inequality. However, if we multiply or divide both sides with a negative number, we need to flip the inequality direction.Interval notation is often used for the solution(s). Recall the differences between a bracket [ or ], and a parenthesis ( or ). A bracket means the endpoint is included in the solution while a parenthesis means the endpoint is not included in the solution. Remember, infinity ∞ always use a parenthesis.
Example: x ≥ 2 can be written as [2, ∞), while
x > 0 is written as (2, ∞)
The given problem:
y-13 < 2
Add 13 to both sides. Adding a number to both sides will not change the inequality. Hence,
y -13 + 13 < 2 + 13
y < 15
Using the interval notation, the solution is (∞, 15)
Learn more about solving inequalities here:
https://brainly.com/question/25275758
#SPJ4
A fruit stand is swlling mandarin oranges for $6 for 4 pounds. a mandarin orange weighs about 2 ounces. there are 16 oumces in a pound. at this rate, how many mandarin oranges can you buy for $
The number of mandarin oranges one can buy for $9 is 48 oranges. It is calculated using basic arithmetic operations.
What are arithmetic operations?
Arithmetic operations are the basic mathematical operations which deal with simple calculations. It involves addition (+), subtraction (-), multiplication (×), and division (÷). Arithmetic operations can be used to combine two or more expressions in some or the other way.
Calculation of the number of mandarin oranges one can buy for $9
We are given that,
$6 = 4 pounds
Using arithematic operation division,
Dividing by 6 into both sides, we have,
$1 = 4 / 6 pounds
$1 = 2 / 3 pounds
Using arithematic operation multiplication,
Multiplying the above equation with 9 on both sides,
$9 = (2 / 3) * 9 pounds
$9 = 6 pounds - - - - - (1)
According to the given question,
1 orange weighs 2 ounces - - - - -(2)
1 pound = 16 ounces
1 pound = 8 × (2 ounces)
Using equation 2,
1 pound = 8 oranges
Using equation 1,
$9 = 6 (8 oranges)
$9 = 48 oranges
Hence, one can buy 48 oranges for 9 dollars i.e. $9.
To learn more about arithmetic operations, visit here:
https://brainly.com/question/13181427
#SPJ4
NEED THIS DONE ASAP !! PLEASE
A: All real numbers greater than 0
B: All real numbers
C: All real numbers between -5 and 4
D : All real numbers greater than -2
Answer:
B: All real numbers
Step-by-step explanation:
Check the attached image for explanation.
Hope it helps.please help! i have PE in a bit!
Answer:
the answer is D (-2 + 4)
Step-by-step explanation:
the lower line shows -2 and the higher one shows +4
Help step by step pls someone man
F+ 2 1/2 < - 2
The solution to the given inequality is: F < -9/2.
What is the solution to the given inequality?The inequality is given by:
F + 2 and 1/2 < -2.
First we have to realize the conversion of the mixed number to fraction, as follows:
2 and 1/2 = 2 + 1/2 = 4/2 + 1/2 = 5/2
Hence the inequality is:
F + 5/2 < -2
F < -2 - 5/2
F < -4/2 - 5/2
F < -9/2.
The solution to the given inequality is: F < -9/2.
More can be learned about inequalities at https://brainly.com/question/25235995
#SPJ1
The probability of the states of nature, after use of bayes' theorem to adjust the prior probabilities based on given indicator information, is called _____.
The probability of natural states after applying the Bayes theorem to modify the prior probabilities in light of available indicator data is known as the posterior probability.
What is posterior probability?The posterior probability is a type of conditional probability that is created by applying the Bayes theorem to update the prior probability with information that is summarized by the likelihood. From an epistemological standpoint, the posterior probability, given prior knowledge and a mathematical model describing the observations available at a specific time, contains all that is known about an uncertain proposition (such as a scientific hypothesis, or parameter values). The present posterior probability may act as the prior in a subsequent round of Bayesian updating following the arrival of new data. The posterior probability distribution often expresses the epistemic uncertainty regarding statistical parameters conditional on a set of observed data in the context of Bayesian statistics.
To know more about posterior probability, visit:
https://brainly.com/question/17010130
#SPJ4
A mobile phone company reported a 170% increase in sales in one year.
At the start of the year sales were 3 million.
What was the sales increase over the year?
million
The increase in sales after 170% increase with the initial sales 3 million is
5,100,000 (5 million and 1 lakh or 51 lakh).
Percentage means a number or a ratio represented in the form of fractions of 100. It is represented using the percentage sign ‘%’. The abbreviations used to represent the percentage are ‘pct’ or ‘pc’. In other words, the percentage is defined as how much of one quantity is made by another quantity and it is evaluated in terms of 100.
We have to increase the value by 170%.
The value of the percentage increase = 170% × 3,000,000
The new value = 3,000,000 + The value of the percentage increase
The new value = 3,000,000 + The value of the percentage increase
=3,000,000 + (170% × 3,000,000) = 3,000,000 + 170% × 3,000,000
=(1 + 170%) × 3,000,000 = (100% + 170%) × 3,000,000
=270% × 3,000,000 = 270 ÷ 100 × 3,000,000
=270 × 3,000,000 ÷ 100 = 810,000,000 ÷ 100
=8,100,000 million.
The actual change = The new value - 3,000,000
=8,100,000 - 3,000,000
=5,100,000 million or 5.1 million.
To learn more about percentage visit:
brainly.com/question/16797504
#SPJ1
eli uses the factor theorem to determine whether x−2 is a factor of 6x5−22x2 11x−126.how does he proceed to the correct answer?
Answer:
Hello,
Step-by-step explanation:
[tex]P(x)=6x^5-22x^2+11x-126\\\\P(2)= 6*2^5-22*2^2+11*2-126=0\\\\x-2\ is\ well\ a \ factor\ of\ P(x).\\\\\begin{array}{c|ccccccc}&x^5&x^4&x^3&x^2&x&1\\---&---&---&---&---&---&---\\&6&0&0&-22&11&-126\\x=2&&12&24&48&52&126\\---&---&---&---&---&---&---\\&6&12&24&26&63&0\end {array}\\\\P(x)=6x^5-22x^2+11x-126=(x-2)*(6x^4+12x^3+24x^2-26x+63)\\[/tex]
The area of a triangle is 16 square units. The base of the triangle is x+4 and the height is x . Find x
Answer:
4
Step-by-step explanation:
A frame 2 inches wide surrounds a painting that is 18 inches wide and 14 inches tall. What is the area of the frame?
A 68 in²
B 84 in²
C 144 in²
D 252 in²
E 396 in²
The area of the frame is D. 252 in².
How to calculate the area?It should be noted that the frame 2 inches wide surrounds a painting that is 18 inches wide and 14 inches tall.
The area will be:
= Length × Width
= 18 × 14
= 252 in²
The area is 252 inches².
Learn more about area on:
brainly.com/question/25292087
#SPJ1
Como se lee 78,004,000
Answer: seventy-eight million
Step-by-step explanation:
seventy eight million four thousand / setenta y ocho million cuatro mil
4x = 16
Step by step please
Pre algebra
Answer:
Step-by-step explanation:
Just divide four into sixteen. You should get x=4. To check, multiply 4 by 4 (4 x 4), and you should get 16.
Question 1
-3 log x
O Bounded Above
O Not Bounded
O Bounded Below
O Bounded
Bounded
Bounded function
In mathematics, a function f is referred to as being bounded if the set of its values is bounded and it is defined on a set X with real or complex values. In other words, there is a real number M such that for all x in X, displaystyle |f(x)|leq M|f(x)|le M. Unbounded functions are those that are not bounded. The function is said to be bounded (from) above by A if f is a real-valued function and f(x) A for all x in X. The function is said to be bounded (from) below by B if f(x) B for all x in X. If and only if it is bounded from above and below, a real-valued function is said to be bound.
To learn more about bounded form the given link:
https://brainly.com/question/2506656
#SPJ9
What is the value of 2|2-9|-3(5+2)2∣2−9∣−3(5+2) ? A. -35 B. -27 C. -18 D. -8 E. -7
Answer:
Step-by-step explanation:
ygjhyjvnvbuh
kjhbhyjg';pjpo jiou; mnhbgvdfhj9y fgxjibt f drztf dd hj bvg5p+4p=7 how do I solve the equation with two variables
Answer:
7/9
Step-by-step explanation:
Combine the two variables: 9p = 7
Then do 7 / 9
Evaluate this function please:
f(g(2))
Answer: 2fg
Step-by-step explanation:
Rewrite using the commutative property of multiplication = 2fg
Parker says that any two congruent acute triangles can be arranged to make a rectangle. Tamika says that only two congruent right triangles can be arranged to make a rectangle. Is either of them correct? Explain your reasoning.
The statement of Tamika is correct.
How many congruent triangles do you need?Recall that we designate an angle as a place where two line meet. The magnitude of the angle could be measured by the use of a compass. A right angle triangle is a triangle that has an angle of ninety degrees as one of the angles.
Let us keep in mind that all the sides of a rectangle must have an angle of ninety degrees. This is because the sum of the angles in a rectangle must sum up to a total of three hundred and sixty degrees.
Having said that; when we consider the statements of the two persons and reason that if we have two right angled triangles, we could be able to make a rectangle because the four right angles that are required could be cut out of the two congruent right angled triangles. This implies that the statement of Tamika is correct.
Learn more about congruent triangles:https://brainly.com/question/22062407
#SPJ1
50% don't smoke, 20% light smokers, 30% heavy smokers heavy smokers twice as likely to die as light smokers, light smokers twice as likely to die as nonsmokers probability of being a heavy smoker given person died?
The probability of person being a heavy smoker given person died is 0.57 .
Baye's Theorem helps in finding the probability of any event A given that event B has already occurred.
For Example the probability of event A given that event B has already occurred is denoted by
[tex]P(A/B)=\frac{P(B/A)P(A)}{P(B)}[/tex]
In the given question
Let H denoted heavy smokers , L denote Light smokers , N denote Non smokers.
Given the probability of non smokers P(N) = 50%=0.5
the probability of light smokers P(L)=20%=0.2
the probability of heavy smokers P(H)=30%=0.3
let P(D/H) denoted the person died given he was a heavy smoker.
let P(D/L) denoted the person died given he was a light smoker.
let P(D/N) denoted the person died given that he was a non smoker.
According to question
"heavy smokers twice as likely to die as light smokers" means
P(D/H)=2P(D/L)......(1)
and "light smokers twice as likely to die as nonsmokers" means
P(D/L)=2P(D/N)
On simplifying we get
[tex]P(D/N)=\frac{1}{2} P(D/L)\\ \\ P(D/N)=0.5 P(D/L)[/tex].....(2)
According to Baye's Theorem
[tex]P(H/D)=\frac{P(D/H)P(H)}{P(D/N)P(N)+P(D/L)P(L)+P(D/H)P(H)}[/tex]
Substituting values of P(D/H) from ...(1) and values of P(D/N) from ....(2)
we get [tex]P(H/D)=\frac{2*P(D/L)P(H)}{0.5*P(D/L)P(N)+P(D/L)P(L)+2*P(D/L)P(H)}[/tex]
taking P(D/L) common from each term
[tex]P(H/D)=\frac{P(D/L)}{P(D/L)} (\frac{2*P(H)}{0.5*P(N)+P(L)+2*P(H)})[/tex]
[tex]P(H/D)= (\frac{2*P(H)}{0.5*P(N)+P(L)+2*P(H)})[/tex]
Substituting the values of P(N), P(H), P(L) from above we get
[tex]P(H/D)= (\frac{2*(0.3)}{0.5*(0.5)+(0.2)+2*(0.3)})[/tex]
[tex]P(H/D)= (\frac{0.6}{0.25+0.2+0.6})[/tex]
=[tex]\frac{0.6}{1.05}=0.57[/tex]
Therefore , the probability of person being a heavy smoker given person died is 0.57 .
Learn more about Probability here https://brainly.com/question/17764757
#SPJ4
The mode is the value of the observation that appears most frequently. true or false
The statement 'The mode is the value of the observation that appears most frequently.' is True.
We know that, the mode is the most frequent number.
It is the number that occurs the highest number of times.
The observation occurring the most number of times or which has highest frequency is known as the mode.
For example, in {6, 3, 9, 6, 6, 5, 9, 3} the Mode is 6 as it occurs most often.
There is no mode when all observed values appear the same number of times in a data set.
Therefore, the statement 'The mode is the value of the observation that appears most frequently.' is True.
Learn more about the mode here:
https://brainly.com/question/6813742
#SPJ4
2-2 logic geometry need the answers by today if available
Answer:
can you put a better pic
Step-by-step explanation:
Simplify 3x-2y+7-2x-2x -y-5
Answer:
-x - 3y + 2
Step-by-step explanation:
sorry explain to long if you want it here a pic
(5-cosecB) (2 cosecB +4)
Answer:
Correct options are A) , B) , C) and D)
secA=
8
17
⇒cosA=
17
8
⇒sinA=±
17
15
cscB=
4
5
⇒sinB=
5
4
⇒cosB=±
5
3
Now cos(A+B)=cosAcosB−sinAsinB
⇒cos(A+B)=
17
8
.
4
5
−(±
17
15
.±
5
3
)=±
85
36
or ±
85
84
∴sec(A+B)=±
36
85
,±
84
85
At 6am, the temperature started
at -2°F. At 10am the temperature
increased by 8°. The last recorded
temperature of the day at 4pm
was 11°F. What was the recorded
temperature at 10am?
Answer:
6°
Step-by-step explanation:
It started at -2°f and increased b 8° so 2 of those degrees get you back to 0°f and the remains is 6 so 6°
Simplify 5 · P · 2.
A. 10P
B. 52P
C. 7P
Answer:
Step-by-step explanation:
5 x 2 = 10
Pretty sure this is right but I'm not 100 percent sure!
Answer: 10P ==> A
Step-by-step explanation:
5 · P · 2= 5 · 2 · P ==> Commutative property of multiplication
5 · 2 · P=
10 · P=10P ==> A
A description of the distribution of the values of a random variable and their associated probabilities is called a.
A description of the distribution of the values of a random variable and their associated probabilities is called a Probability Distribution.
What is a random variable?Understanding the random variable and its probability is necessary for the analysis of complex random occurrences. The numerical result of a random process, which might be discrete or continuous in nature, is known as a random variable.
Now,
If the result of the random variable is tabulated along with the probabilities, it makes it easier to analyze random events. A probability distribution table is a description of the distribution of the values of a random variable along with their probabilities. Graphs and mathematical formulas can both be used to represent the probability distribution.Hence, A description of the distribution of the values of a random variable and their associated probabilities is called a Probability Distribution.
To learn more about random variables, refer to the link: https://brainly.com/question/17217746
#SPJ4
which is greater height or radius of cone?
full explanation down below
The 150 m³ cone that has a base radius of 5 meters indicates that the height of approximate length 5.73 meters is greater than the radius (length 5 meters)
How can the height of the cone be found?The given parameters are;
Volume of the cone is V = 150 m³
Base radius of the cone, r = 5 m
The formula for finding the volume of a cone is; [tex]V = \mathbf{\frac{1}{ 3} \cdot \pi \cdot {r}^{2} \cdot h} [/tex]
By plugging in the values for the volume, V and radius, r, of the cone, we have;
[tex]150 = \frac{1}{ 3} \times \: \pi \times {5}^{2} \times h[/tex]
Which gives;
[tex] h = \mathbf{ \frac{150}{ \frac{1}{ 3} \times \: \pi \times {5}^{2} } \approx 5.73} [/tex]
Therefore;
The height, (h ≈ 5.73 meters) is greater than the radius, r = 5 metersLearn more about finding the volume of regular solids here:
https://brainly.com/question/17244531
#SPJ1
What is the value of (3.5)3?
9.15
10.5
17.9
42.875
Answer:Your answer is 10.5
Step-by-step explanation:Multiply 3.5 by 3 and you get 10.5.
Q5 A rectangular pyramid is mounted on a rectangular prism as shown in the figure. Find
the surface area of the solid formed.
10 ft
Aft
3 ft
4ft
Answer: 164 ft^2
Step-by-step explanation:
l=length. w=width. h=height. SA=surface area
SA=2(l*w)+2(l*h)+2(w*h)
SA=2(10*3)+2(10*4)+2(3*4)
SA=2(30)+2(40)+2(12)
SA=60+80+24
SA=140+24
SA=164 ft^2
A group of students is asked if they travel; to school by car, students travelling by car = 14 students not travelling by car=11 what percentage of these students do not travel to school by car?????
Answer: 44%
Step-by-step explanation:
To find the percentage of students who do not travel by car, we first need to find the total number of students.
14 + 11 = 25
So out of the total of 25 students, 11 do not travel by car, so to find that percentage we will divide the number that do not travel by car by the total number.
11/25 = 0.44
We have the percentage as a decimal. To convert the decimal to a percent we multiply it by 100.
0.44 x 100 = 44%
suppose that the probability that a randomly selected person who has recently married for the first time will be divorced within 5 years is 0.2, and that the probability that a randomly selected person who has recently married for the second time will be divorced within 5 years is 0.30. take a random sample of 10 people married for the first time and 10 people married for the second time. the sample is chosen such that no one in the sample is married to anyone else in the sample. why is the binomial model inappropriate for finding the probability that exactly 4 of the 20 people in the sample will be divorced within 5 years? list all of the binomial conditions that are not met.
The binomial is a unique type of discrete random variable. If ALL four of the following conditions are met, our experiment is a binomial experiment: it consists of n identical trials.
What do you mean by the term binomial condition?One of the two outcomes, known as success or failure, arises from every try. From trial to trial, the likelihood of success, given by the symbol, stays constant. There are n independent trials. The binomial distribution is a probability distribution that summarizes the possibility that a value will take one of two independent values under a given set of parameters or assumptions, which means the result of each trial has no bearing on the results of the others. The fundamental presumptions of the binomial distribution are that there is only one possible result for each trial, that each trial has the same success probability, and that each trial is independent of the others or mutually exclusive.
To learn more about binomial distribution, Visit:
https://brainly.com/question/7463132
#SPJ4
Plsss helppppp meeee
Answer: C
Step-by-step explanation:
g(7) = 7/8 (7) - 1/2
g(7) = 6.125 - 1/2
g(7) = 5.625 OR in fraction form, 45/8
The answer is C