The vertex point is (0,2).
What is an mathematical expression?Using operations like addition, subtraction, multiplication, and division, a mathematical expression is defined as a group of numerical variables and functions.
The given function is,
y= |x| + 2
Now graphing the function by taking arbitrary value of x to get value of y
We know that,
A vertex (or node) of a graph is one of the objects that are connected together. The connections between the vertices are called edges or links.
Hence from graph
We can see that two edges are meet at (0,2)
So, the vertex of the given graph is at (0,2).
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i really need help, can someone please help me with this math question
The functions for this problem are defined as follows:
(t + s)(x) = x³ + 5x².(ts)(x) = \(5x^5\)(t - s)(-2) = -28.How to obtain the functions?The functions for this problem are given as follows:
s(x) = 5x².t(x) = x³.The addition and subtraction functions for this problem are given as follows:
(t + s)(x) = x³ + 5x².(t - s)(x) = x³ - 5x².At x = -2, the numeric value of the subtraction function is given as follows:
(t - s)(-2) = -2³ - 5(-2)²
(t - s)(-2) = -28.
The product function for this problem is given as follows:
(ts)(x) = \(5x^5\)
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a box contains ten sealed envelopes numbered 1, . . . , 10. the first six contain no money, the next two each contains $5, and there is a $10 bill in each of the last two. a sample of size 3 is selected with replacement (so we have a random sample), and you get the largest amount in any of the envelopes selected. if x1, x2, and x3 denote the amounts in the selected envelopes, the statistic of interest is m
The probability distribution for the statistic is ; for m = 0 , P(0) = 0.216 , for m = 5 ,P(5) = 0.296 and for m = 10 , P(10) = 0.488 .
In the question ,
it is given that ,
the box has 10 sealed envelopes , that contains number from 1,2,...,10 .
the first six envelopes has no money .
next two envelopes has $5
and the last two contains $10 bill .
if x₁, x₂, and x₃ denote the amounts in the selected envelopes,
the statistic of interest is m = maximum of X₁ , X₂ and X₃ .
we need to find probability distribution for the statistic m,
So , P(m = 0) = P( all three envelope contains no money) = (6/10)³ = 0.216
and P(m = 5) = P( all from 8 envelope which contains at most $5) - P(all three envelope with 0 money)
= (8/10)³ - 0.216
= 0.296
and P(m = 10) = 1 - (8/10)³ = 0.488
Therefore , the required probability is P(0) = 0.216 , P(5) = 0.296 and P(10) = 0.488 .
The given question is incomplete , the complete question is
A box contains ten sealed envelopes numbered 1, . . . , 10. the first six contain no money, the next two each contains $5, and there is a $10 bill in each of the last two. a sample of size 3 is selected with replacement (so we have a random sample), and you get the largest amount in any of the envelopes selected. if x₁, x₂, and x₃ denote the amounts in the selected envelopes, the statistic of interest is M = the maximum of X₁ ; X₂ , and X₃ . Obtain the probability distribution of this statistic ?
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100 POINTS AND WILL GIVE BRAINLIEST Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
x
2
-1
10
1
2
y
Use the function rule to complete the table.
- 10x + y = 4
!!!89 POINTS!!!
Find the domain of the graphed function
Answer:
A. -4 ≤ x ≤ 9
Step-by-step explanation:
Domain is the set of x-values that can be inputted into function f(x).
We see that our x-values span from -4 to 9. Since both are closed dots, they are included in the domain:
[-4, 9] or -4 ≤ x ≤ 9
The circumference of a circle is 169.56 kilometers what is the circles radius
Answer:
26.99
Step-by-step explanation:
A number is divided by four. The result is added to five. This result is multiplied by three to give 27. What is the number?
The answer is 16
Explanation:16/4=4
4+5=9
9*3=27
Answer:
x=16
Step-by-step explanation:
We'll say that x represents the number.
3(\(\frac{x}{4}\)+5)=27 given equation
\(\frac{3x}{4}\)+15=27 distributive property
3x/4=12 subtract
3x=48 multiply
x=16 divide
You go to the store to buy a new TV that is $430. If the tax is 6% of that price, what is the total cost of the TV including tax? PLEASE HELP ME
Answer:
455.8?
Step-by-step explanation:
$430 (tax: x,-,+) = 455.8.
tax: 25.8
Sorry if this is wrong.
Have a great day/night.
Help me please ❗️❗️❗️❗️
Answer:
3 is -1x+82. 4 is 2x+4. 5 is y=-4x+2
Step-by-step explanation:
could you do 1 question at a time its confusing. =/
HELP!!
Graph the following direct proportions: y=-2.5x
If possible please explain how to do this so I won’t have to ask future questions :)
A voter in the upcoming election has many different types of issues on the ballot. Of the issues on the ballot, 7 are school related, 10 are ordinance related, and 2 are library related. If a single issue is picked at random, what is the probability that the issue is school or library related?
The probability of randomly picking a school or library-related issue from the ballot is 9/19 or approximately 0.474 (rounded to three decimal places).
To determine the probability of a randomly picked issue being school or library related, you'll need to consider the total number of issues and the number of school and library issues combined.
There are 7 school-related issues, 10 ordinance-related issues, and 2 library-related issues, making a total of 19 issues on the ballot. To find the probability of picking a school or library issue, combine the number of school and library issues: 7 + 2 = 9.
Now, divide the number of school and library issues (9) by the total number of issues (19): 9/19.
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what is the constant of porportionality between 9 and 4.5
Answer:
1/2
Step-by-step explanation:
The graph shows the number of meters Jacob runs as a function of time in minutes.
If Sam runs 15 meters less each minute than Jacob does, which equation represents the total meters, m, that Sam runs in t minutes?
m = 200t
m = 185t
m = 215t
m = 15t
Answer:
its m=185t
Step-by-step explanation:
because if you divide
An equation which represent the total meters (m) that Sam runs in t minutes is: B. m = 185t.
How to determine the required equation?Mathematically, a proportional relationship can be represented with the following equation or mathematical expression:
m = kt
Where:
t represents the number of minutes.m represents the number of meters.k represents the constant of proportionality.Next, we would determine the constant of proportionality (k) for each candy as follows:
From Jacob's running, we have the following:
Constant of proportionality (k) = t/m
Constant of proportionality (k) = 400/2
Constant of proportionality (k) = 200
Since Sam runs 15 meters less each minute than Jacob does, an equation that represent the total meters (m) that he runs in t minutes is given by:
m = (200 - 15)t
m = 185t
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what pattern do you observe regarding the number of lines of reflection through a regular polygon that will map the polygon onto itself? How does this number relate to the number of lines of symmetry for the same polygon
Answer: the number of sides of a regular polygon is the same as the number of lines of reflection that can map the polygon into itself. The number of lines of symmetry is the same as the number of lines of reflection for mapping. (this is word for word so i suggest rewording)
Step-by-step explanation:
Answer:
The number of sides of a regular polygon is the same as the number of lines of reflection that can map the polygon onto itself. The number of lines of symmetry is the same as the number of lines of reflection for mapping.
Step-by-step explanation:
PLATO
the graph of a line is shown on grid below.which equation best represents the graph of the line?
Answer:
A
Step-by-step explanation:
slope -3
y intercept (0,2)
Option A is correct, y=-3x+2 is the equation of the line that best represents the graph of the line.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The line passing through points (1, -1) and (-2, 8)
m=8+1/-2-1
m=-3
Now let us find the y intercept
8=-3(-2)+b
8=6+b
2=b
y=-3x+2 is the equation of line.
Hence, y=-3x+2 is the equation of the line that best represents the graph of the line.
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What is the inverse statement,"If I listen to this song, then it will get stuck in my head"?
Answer:
D. If I do not listen to this song, then it will not get stuck in my head.
Step-by-step explanation:
Answer:
"If I don't listen to this song, then it won't get stuck in my head."
The value of 4 + 44/10 + 404/100 +
444/1000 + 4/10000 is ?
a) 12.8844
b) 12.8804
c) 12.8224
d) 12.8944
Answer:
12.8844
the answer is (a)12.8844
a is the correct answer.......
Triangle ABC has been reflected over the y- axis to create triangle A’B’C’. Which of the following statements is true ? B’C’ = 2 A’B’ = 2 AB = 2 AC = 2
Answer: A: B′C′ = 2
Step-by-step explanation: Hope that helped
Which of the following is a statistical question that can result in numerical data?
What is the name of your favorite pizza store?
How many hours this week did you spend on homework?
How many times did you go swimming this year?
How many pink erasers do the students in your class have?
A statistical question that can result in numerical data is How many times did you go swimming this year? So, the correct option is A).
The statistical question that can result in numerical data is "How many hours this week did you spend on homework?" and "How many times did you go swimming this year?".
These questions involve counting or measuring quantities, which can be represented using numerical data. The other two questions do not involve numerical data and therefore cannot be considered statistical questions that result in numerical data. So, the correct answer is B).
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Answer:
How many pink erasers do the students in your class have?
For each​ situation, identify the sample size​ n, the probability of a success​ p, and the number of successes x. When asked for the​ probability, state the answer in the form​ b(n,p,x). There is no need to give the numerical value of the probability. Assume the conditions for a binomial experiment are satisfied. Complete parts​ (a) and​ (b) below.
Required:
a. A 2017 poll found that 53% of college students were very confident that their major will lead to a good job. If 30 college students are chosen at random, what's the probability that 14 of them were very confident their major would lead to a good job?
b. A 2017 poll found that 53% of college students were very confident that their major will lead to a good job. If 30 college students are chosen at random, what's the probability that 10 of them are NOT confident that their major would lead to a good job?
Answer:
a) 0.1138 = 11.38% probability that 14 of them were very confident their major would lead to a good job
b) 0.0483 = 4.83% probability that 10 of them are NOT confident that their major would lead to a good job
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
a. A 2017 poll found that 53% of college students were very confident that their major will lead to a good job. If 30 college students are chosen at random, what's the probability that 14 of them were very confident their major would lead to a good job?
Here, we have that \(p = 0.53, n = 30\), and we want to find \(P(X = 14)\). So
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 14) = C_{30,14}.(0.53)^{14}.(0.47)^{16} = 0.1138\)
0.1138 = 11.38% probability that 14 of them were very confident their major would lead to a good job.
b. A 2017 poll found that 53% of college students were very confident that their major will lead to a good job. If 30 college students are chosen at random, what's the probability that 10 of them are NOT confident that their major would lead to a good job?
10 not confident, so 30 - 10 = 20 confident. This is P(X = 20).
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 20) = C_{30,20}.(0.53)^{20}.(0.47)^{10} = 0.0483\)
0.0483 = 4.83% probability that 10 of them are NOT confident that their major would lead to a good job
The graph below shows the line y=[x]. If the line y=|x|*2 were graphed on the same grid, hc would it compare to the line shown in the graph below.
The graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.
How to identify the transformation?The functions for this problem are defined as follows:
Parent function: y = |x|.Transformed function: y = 2|x|.When a function is multiplied by 2, we have that it is vertically stretched by a factor of 2.
Hence the graph of the function y = 2|x| is a vertical stretch by a factor of 2 of the parent function y = |x|.
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a rectangle solid measures 8cm long by 2cm wide by 2cm high. what is the surface-to-area-to-volume ratio?
The ratio of surface to area to volume of the given rectangle is 5 : 4 : 8
Length of the rectangle , l = 8 cm
Breadth of the rectangle , b = 2 cm
Height of the rectangle , h = 2 cm
Perimeter of the rectangle is
P = 2 (l +b)
= 2(8 + 2)
= 2 (10)
= 20 cm
Therefore , the perimeter of the rectangle is 20 cm
Area of the rectangle is
A = l x b
A = 8 x 2
A = 16 cm²
Therefore , area of the rectangle is 16 cm²
Volume of the rectangle is
V = l x b x h
V = 8 x 2 x 2
V = 8 x 4
V = 32 cm³
Therefore, volume of the rectangle is 32 cm³
Ratio of surface to area to volume = 20 : 16 : 32
= 5 : 4 : 8
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Please answer this before friday
Answer: 21:9 and 42:18
Step-by-step explanation:
14:6 at its most basic form is 7:3, so find anything that could be equal to this if a number is multiplied on both sides.
21:9 is our simplified ratio multiplied by 3 on both sides.
42:18 is our simplified ratio multiplied by 6 on both sides.
But, the final ratio doesn't work, because 7 and 3 respectively cannot multiply to 13 and 8 with the same value.
Solve this system of equations:
3x - 2y = -8
y=3/2x - 2
PLEASE WRITE THE STEPS
Hey there! I'm happy to help!
We see that y is equal to 3/2x-2. We can replace the y in the first equation with 3/2x-2 because they are equal and we can solve for x.
3x-2(3/2x-2)=-8
We use the distributive property to undo the parentheses.
3x-3x+4=-8
We combine like terms.
4=-8
We see that since there is no x anymore, there cannot be a solution. We have no x value to solve for the y value either, so there is no solution to this system of equations.
Have a wonderful day! :D
is this correct please help me.
Answer:
4:15:44Step-by-step explanation:
A ratio can be expressed three (3) ways. The ratio of A to B can be expressed as any of ...
A to B
A : B
A/B
It will be in reduced form when the numbers are mutually prime (have no common factors).
__
1.The ratio of burgers without onions to burgers with onions is ...
without : with = 8 : 2 = 4 : 1
__
2.The ratio of history visitors (5) to science visitors (44) is ...
history : science = 5 : 44
_____
Additional comment
Some problems can be fairly easily worked by considering the difference between A and B in the ratio A/B. However, those differences are irrelevant to this problem. Here, you're simply asked to write the ratios.
We note that the ratios asked for reverse the appearance of the numbers given in the problem. That is, the second number in the ratio requested is the number described first. This requires you pay attention to what you are given and what is requested. (That's always a good idea.)
What is the approximate monthly payment on a 3 year loan at 10% on a principal of $5,000
Answer:
161.34
Step-by-step explanation:
Answer:
$166.66
Step-by-step explanation:
d33znuts
three sides of triangle is x cm y cm z cm its perimeter and semi perimeter
Answer:
Step-by-step explanation:
Perimeter:
\(P=(x+y+z) \ cm\)
Semi-perimeter:
\(SP=\frac{1}{2} (x+y+z) \ cm\)
Question 3 2 pts a.) List the sample space for selecting a letter at random from the word "PINEAPPLE". Separate your letters with a comma and do not include spaces. b.) A letter is randomly selected from the word "PINEAPPLE". Which is more likely, selecting "E" or selecting "P"?
a. The sample space, S, is the set of possible outcomes of a random experiment.
Let the experiment be "select a letter at random from the word pineapple" each word will represent possible outcomes of the sample space to that:
The word has a total of 9 letters, which are:
3 P
2 E
1 I
1 A
1 N
The sample space can be defined as:
\(S=\mleft\lbrace A,E,I,N,P\mright\rbrace\)(Note: I ordered the sample space alphabetically)
b. You have to determine which event has the highest probability, selecting letter at random and the result being an E or a P. Before you can compare the probabilities of both letters, you have to calculate them:
To determine the said individual probabilities, you have to calculate the quotient between the number of favorable cases and the number of total cases.
For the event "selecting a word at random and the letter is E"
- The total number of cases is 9 (number of letters on the word pineapple)
- The number of favorable cases is 2 (times the letter E is in the word pineapple)
\(P(E)=\frac{2}{9}=0.22\)For the event "selecting a word at random and the letter is P"
- The total number of cases is 9 (number of letters on the word pineapple)
- The number of favorable cases is 3 (times the letter P is in the word pineapple)
\(P(P)=\frac{3}{9}=\frac{1}{3}\approx0.33\)The probability of selecting the letter "E" is 0.22 while the probability of selecting the letter "P" is 0.33.
Then selecting the letter "P" is more likely than selecting the letter "E"
Function A is represented by the equation y = 4X + 6 what is the rate of change
3
\(3 \sqrt{81} \)
what's the answer
Answer will be 27.
Given,
3√81
Now, to solve the expression the squares of whole numbers and square roots for some numbers must be known.
For example, squares of
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
6² = 36
7² = 49
8² = 64
9² = 81
10² = 100
Square roots,
√100 = 10
√81 = 9
√64 = 8
√49 = 7
√36 = 6
√25 = 5
√16 = 4
√9 = 3
√4 = 2
√1 = 1
Now ,
3√81 = 3× 9
= 27.
Thus the value is 27.
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lve for m.
-3 + m
9 = 10
A.
-30
B.
63
C.
87
D.
93
The value of m that satisfies the equation -3 + m = 9 is m = 12.
To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.
-3 + m = 9
To move -3 to the other side, we can add 3 to both sides of the equation:
-3 + 3 + m = 9 + 3
Simplifying, we have:
m = 12
Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.
None of the provided answer options (A, B, C, D) match the correct solution.
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