Answer:
inequality form would be x<-6 or x>-6
Match the desired compound events with their corresponding probabilities
Flip a coin 3 times and get heads
every time.
Flip a coin to get tails up and roll a
number cube to get an even number.
Roll a number cube and get a
4 and 5
Draw an ace and then a 7 from a
deck of cards with replacement
27
0000
1/36
1/169
1/8
1/4
The matching of the probability will be:
Flip a coin 3 times and get heads every time. = 1/8.
Flip a coin to get tails up and roll a number cube to get an even number. - 1/4
Roll a number cube and get a 4 and 5 - 1/36
Draw an ace and then a 7 from a deck of cards with replacement - 1/169.
How to calculate the probability?Flip a coin 3 times and get heads every time will be:
= (1/2)³
= 1/8.
Flip a coin to get tails up and roll a number cube to get an even number will be:
= 1/2 × 3/6
= 3/12
= 1/4
Roll a number cube and get a 4 and 5 will be:
= 1/6 × 1/6
= 1/36
Draw an ace and then a 7 from a deck of cards with replacement is 1/169.
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simplify the expression 1/4x +3/4×
Answer:
x
Step-by-step explanation:
When you add them, you get 4/4x which is also known as 1x.
- CLASSROOM Mrs. Fields teaches high school geometry. Her classroom tools
include a compass, straightedge, pencil, and protractor. Does Mrs. Fields likely
teach analytic geometry or synthetic geometry? Explain your reasoning
Mrs. Fields teaches synthetic geometry.
What is synthetic geometry?
The study of geometry without the use of coordinates or equations is known as synthetic geometry, sometimes known as axiomatic geometry or even pure geometry. To make inferences and find solutions, it uses the axiomatic approach and the instruments that are immediately associated to it, namely the compass and straightedge.
Mrs. Fields uses a compass, straightedge, pencil and protractor to teach geometry. And all these are used to either draw or measure and no formulas are needed anywhere, so it is synthetic geometry.
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100 POINTS PLEASE HELP WILL GIVE BRAINLIEST
What is the Perimeter of the floor ( simplify your answer)?
Answer:
P = 2x + 14
Step-by-step explanation:
The perimeter of a shape is the total measurement of all the edges of a shape.
P = 12 + (x - 12) + 1 + [(x-5) - (x-12)] + [12 - 1] + (x-5)
P = 12 + x - 12 + 1 + [ x - 5 - x + 12] + 11 + x - 5
P = x + x + 12 - 12 + 1 + 7 + 11 - 5
P = 2x + 14
Find the percentage of students that scored higher than 75. 5. Round your answer to the nearest percent
Answer:
source please?
Step-by-step explanation:
Without a source I cannot
Using Function Notation
The mapping diagram shows a functional relationship.
Domain
Range
82
I WINDO
11
4
43
12
Complete the statements.
f(4) is
f(x) = 4 when x is
The completed statement is
i) f(4) is 1/2
ii) f(x) = 4 when x is 8
A domain of a function refers to "all the values" that go into a function. The domain of a function is the set of all possible inputs for the function.
The range of a function is the set of all its outputs.
According to the question the ordered pairs are given as
R = { (8,4) , (-2/3,3) , (11,-1) , (4,1/2)}
Here the domain are : ( 8,-2/3,11,4)
and range are : (4,3,-1,1/2)
Hence the values are :
i) f(4) = 1/2
ii) f(x) = 4 when x = 8
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Given (x – 7)2 = 36, select the values of x.
x = 13
x = 1
x = –29
x = 42
Choose the graph which represents the solution to the inequality:
x is equal to the -10 or less than the -10
Inequality:
In mathematics, a statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions. Inequalities can be posed either as questions, much like equations, and solved by similar techniques, or as statements of fact in the form of theorems. For example, triangle inequality states that the sum of the lengths of any two sides of a triangle is greater than or equal to the length of the remaining side. The mathematical analysis relies on many such inequalities (e.g., the Cauchy-Schwarz inequality) in the proofs of its most important theorems.
In mathematics, an inequality is a relation that makes a non-equal comparison between two numbers or other mathematical expressions.[1] It is used most often to compare two numbers on the number line by their size. There are several different notations used to represent different kinds of inequalities:
The notation a < b means that a is less than b.
The notation a > b means that a is greater than b.
In either case, a is not equal to b. These relations are known as strict inequalities,[1] meaning that a is strictly less than or strictly greater than b. Equivalence is excluded.
In contrast to strict inequalities, there are two types of inequality relations that are not strict:
The notation a ≤ b or a ⩽ b means that a is less than or equal to b (or, equivalently, at most b, or not greater than b).
The notation a ≥ b or a ⩾ b means that a is greater than or equal to b (or, equivalently, at least b, or not less than b).
The relation not greater than can also be represented by a ≯ b, the symbol for "greater than" bisected by a slash, "not". The same is true for not less than and a ≮ b.
The notation a ≠ b means that a is not equal to b; this inequation sometimes is considered a form of strict inequality.[2] It does not say that one is greater than the other; it does not even require a and b to be member of an ordered set.
In engineering sciences, less formal use of the notation is to state that one quantity is "much greater" than another,[3] normally by several orders of magnitude.
The notation a ≪ b means that a is much less than b.[4]
The notation a ≫ b means that a is much greater than b.[5]
This implies that the lesser value can be neglected with little effect on the accuracy of an approximation (such as the case of ultra relativistic limit in physics).
In all of the cases above, any two symbols mirroring each other are symmetrical; a < b and b > a are equivalent, etc.
Solution :
1/2x+8 [tex]\leq[/tex] 3
1/2x [tex]\leq[/tex] 3-8
1/2x[tex]\leq[/tex]-5
x [tex]\leq[/tex] -5 x 2
x[tex]\leq[/tex] -10
x is equal to the -10 or less than the -10
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Draw a line segment with endpoints M and R. Now draw a parallel line segment that is the same length as MR¯¯¯¯¯¯¯¯¯ with the endpoints M′ and R′ in the same order.
Which answer correctly describes the transformation from MR¯¯¯¯¯¯¯¯¯ to M′R′¯¯¯¯¯¯¯¯¯¯¯¯?
The required transformation would be in the variable because the slope of parallel lines is always the same.
A line can be defined by the shortest distance between two points is called as a line.
Here,
Line MR is drawn with the endpoints M and R, and another line M'R' is drawn which is parallel to line MR. There is a property of parallel lines that the slope of the parallel lines is always equal. , So the slope of lines are equal there must be a change in variable x and y which describes the translation of the line M'R'.
Thus, the required transformation would be in the variable because the slope of parallel lines is always the same.
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What is the length of HN?
Enter your answer in the box.
Answer:
AH
Step-by-step explanation:
the two lines that are vertical on both lines show that they are both congruent (the same length)
3rtm
b. How many triangles are needed to compose a region that is 1/ square meters?
3
om Unit 1, Lesson 2.)
18 triangles area unit required to compose a vicinity that's one square meters.
Triangle is also a closed two-dimensional kind. it is a triangular two-dimensional figure. All sides unit of measurement product of straight lines. the aim where a pair of straight lines be a region of is that the vertex. Hence, the Triangle has three vertices. each vertex forms associate degree angle.A square with a locality of one square metre is rotten into nine identical little squares. every little sq. is rotten into 2 identical triangles.
1 square metre is rotten into nine identical little squares.
So there area unit nine little squares in one square metre.Each little sq. is rotten into 2 identical triangles therefore nine little squares is rotten into 9(2) = eighteen identical triangles
Hence, one square metre is rotten into eighteen identical triangles.
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Simplify the expression.
0.4(k - 0.1) + 0.5(3.3 - k)
The simplification of the given expression 0.4(k - 0.1) + 0.5(3.3 - k) is 1.61 - 0.1k.
According to the question.
We have an expression.
0.4(k - 0.1) + 0.5(3.3 - k)
As we know that, simplification of an expression means to write an equivalent expression which contains no similar terms.
Therefore, the simplification of the given expression 0.4(k - 0.1) + 0.5(3.3 - k) is given by
0.4(k - 0.1) + 0.5(3.3 - k)
= 0.4k - 0.04 + 1.65 - 0.5k
= 1.61 - 0.1k
Hence, the simplification of the given expression 0.4(k - 0.1) + 0.5(3.3 - k) is 1.61 - 0.1k.
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What is a simpler form of the complex fraction?
a. x / 1 / x + 1 / y
Simplification form of the given complex fraction [tex]\frac{x}{\frac{1}{x+\frac{1}{y} } }[/tex] is (xy)/ (xy+1).
As given in the question,
Given complex fraction is [tex]\frac{x}{\frac{1}{x+\frac{1}{y} } }[/tex]
Simplify the given complex fraction by taking the least common multiple,
[tex]\frac{x}{\frac{1}{x+\frac{1}{y} } }\\\\\\=\frac{x}{\frac{1}{\frac{xy+1}{y} } } \\\\\\=\frac{xy}{xy+1}[/tex]
Therefore, the simplification form of the given complex fraction [tex]\frac{x}{\frac{1}{x+\frac{1}{y} } }[/tex] is (xy)/ (xy+1).
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According to 2015 census data, 42. 7 percent of colorado residents were born in colorado. If a sample of 250 colorado residents is selected at random, what is the standard deviation of the number of residents in the sample who were born in colorado?.
The standard deviation of the number of residents in the sample who were born in Colorado is 7.82
PC = Indicates the real population of residents born in Colorado
PC = 0.427 shows estimated proportion for residents born in Colorado
nC = 250 sample size selected
Let X = random variable of interest
n = 250 , p = 0.427
Now the probability mass function is given by
P(X) = (nCx)(p)^x(1-p)^n-x
Here (nCx) means combinatory and its formula is:
nCx = n! / (n-x)!x!
Let's calculate the expected value by the given formula.
E(X) = np = 250 x 0.427 = 106.75
The standard deviation for the random variable is given by:
sd(X) = √np(1-p)
sd(X) = √250 x 0.427 x (1-0.427) = 7.82
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A car sitting at rest begins
accelerating at 2.40 m/s² for
15.0 seconds. How far has the
car gone?
(Units = m)
Answer:
86.4m/s as 2.4^(2)=5.76
5.76x15=86.4
Would anybody be able to help me out with this one question please?
15 points up for grabs!
:))
Answer: The answer is 78,125
Step-by-step explanation: The answer is 78,125 because when the 5^8 equals 390,625 and then divide 5 and you get 78,125. hope this helps :)
Answer:
5e8 /5=78125
Step-by-step explanation:
5e8=5*5*5*5*5*5*5*5= 390 625
390 625/5=78125
Hope you'll understand
(:
Determine whether \triangle X Y Z is an acute, right, or obtuse triangle for the given vertices. Explain.
X(-7,-3), Y(-2,-5), Z(-4,-1)
The triangle having vertices X(-7,-3), Y(-2,-5), Z(-4,-1) is obtuse.
According to the Pythagorean Inequality Theorem, a triangle whose sides measure a, b, and c where c is the largest, the triangle can be characterized as:
acute if [tex]a^{2} + b^{2} < c^{2}[/tex]
obtuse if [tex]a^{2} + b^{2} > c^{2}[/tex]
right if [tex]a^{2} + b^{2} = c^{2}[/tex]
XY = [tex]\sqrt{(-2 + 7)^{2} + (-5 + 3)^{2} }[/tex]
∴ XY = 5.38
YZ = [tex]\sqrt{(-4 + 2)^{2} + (-1 + 5)^{2} }[/tex]
∴YZ = 4.47
ZX = [tex]\sqrt{(-4 + 7)^{2} + (-1 + 3)^{2} }[/tex]
∴ ZX = 3.60
∴The longest side is XY = 5.38.
Hence, a = YZ, b = ZX and c = XY;
Consider [tex]a^{2} + b^{2}[/tex] :
= [tex]4.47^{2} + 3.60^{2}[/tex]
= 32.94.
Now consider [tex]c^{2}[/tex]:
= [tex]5.38^{2}[/tex]
= 28.94.
Thus, [tex]a^{2} + b^{2} > c^{2}[/tex]
Hence, the triangle is obtuse.
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Find the geometric mean between pair of numbers.
12 and 9
The geometric mean between pair of numbers 12 and 9 is 10.39
We know that for a sequence of numbers x1, x2,.., xn
The formula of geometric mean is,
[tex]\Pi = \sqrt[n]{x_1.x_2...x_n}[/tex]
In this question, we have been given two numbers 12 and 9
We need to find the geometric mean between pair of numbers, 12 and 9.
Using the formula for the geometric mean,
[tex]\Pi = \sqrt[n]{x_1.x_2...x_n}[/tex]
In this question, we have two numbers.
So, the value of n is 2.
[tex]\Pi = \sqrt{12\times 9}\\\\\Pi=\sqrt{108}\\\\ \Pi=10.39[/tex]
Therefore, the geometric mean between pair of numbers 12 and 9 is 10.39
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If the labor force of 165 million people is growing by 1.2 percent this year, how many new jobs have to be created each month to keep unemployment from increasing?
0.165 million jobs must be created monthly to keep unemployment from increasing.
What is the labor force?The combined employed and unemployed population makes up the labor force. The labor force as a percentage of the civilian noninstitutional population is the labor force participation rate.The number of employed persons plus the number of jobless people seeking work is known as the labor force. 1 The unemployed who are not looking for work are not included in the labor pool. For instance, stay-at-home mothers, retirees, and students are not employed.An economy's labor force is calculated as the sum of employed and jobless citizens. As a result, the labor force can be calculated using the formula: labor force = employed population + unemployed population.All employees are included in the labor force, including persons looking for work who are unemployed and the companies who pay their workers. A job seeker would not be regarded as an employee even if she were included in the labor force.How many new jobs have to be created each month to keep unemployment from increasing?
The population of the labor force = is 165 million
Percentage increase of labor force in a year = 1.2 % of 165 million
Percentage increase in the labor force in a month 1.2 %/12=0.1 %= of 155 million
Jobs required to be created each month = population increase each month
165 million *0.1/100=0.165 million
0.165 million jobs must be created monthly to keep unemployment from increasing.
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Please give me the answers for a-d
The value of different f(x) for different value of 'x' in the given graph is f(-3) = -1 , f(-2)=0. f(-5)= 3, f(-4) =0
Given that, The f(x) graph we can observe that it is a shifted parabola.
How to translate a parabola?We can translate the parabola vertically to produce a new parabola that is similar to the basic parabola. The function [tex]y=x^2 + b[/tex] has a graph which simply looks like the standard parabola with the vertex shifted b units along the y-axis. Thus the vertex is located at (0,b). If b is positive, then the parabola moves upwards and, if b is negative, it moves downwards.
Similarly, we can translate the parabola horizontally. The function[tex]y =(x-a)^2[/tex]has a graph which looks like the standard parabola with the vertex shifted a units along the x-axis. The vertex is then located at (a,0). Notice that, if a is positive, we shift to the right and, if a is negative, we shift to the left.
So, for the given question
b = parabola shift unit along y-axis = -1 units
a = parabola shift unit along x-axis = -3 units
So, equation of parabola = [tex]f(x)=y = (x+3)^2-1[/tex]
Now,
for x = -3. f(-3)=[tex](-3+3)^2-1=-1[/tex]
So, f(-3)= -1
x = -2. f(-2)=[tex](-2+3)^2-1=0[/tex]
So, f(-2)= 0
x = -5. f(-5)=[tex](-5+3)^2-1 = 3[/tex]
So, f(-5)= 3
x = -4. f(-4)=[tex](-4+3)^2-1=0[/tex]
So, f(-4)= 0
Therefore, from the graph f(x), value of f(x) for diiferent value of x is f(-3)=-1. f(-2)=0.f(-5)=3.f(-4)=0.
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What is 18 divided by (6+3)
Mo runs at a constant speed of 6 miles per hour.
Decide whether each statement is true or false.
a) In 25 minutes, Mo runs 1.5 miles.
b) In half an hour, Mo runs 3 miles.
c) In 45 minutes, Mo runs 2.7 miles.
d) In 1.25 hours, Mo runs 7.5 miles.
e) In 20 minutes, Mo runs 2 miles.
f) In 70 minutes, Mo runs 7 miles.
Discuss your reasoning with a partner.
Answer:
If you run 1mile in 7 minutes, you run 8.5miles in 1 hour, and run 1km in 4 minutes 20 seconds. This calculator convert pace and speed in the unit of mile, and km.
Step-by-step explanation:
Hope this helped
and what the other person said
Brainlest please
Simplify the expression. Write your answers using integers or improper fractions.
− 3/2(1/2 n+2n−3)+4n
Answer:
the answer would be n/4 + 9/2
Step-by-step explanation:
-
Paige is choosing between 10 books at the library. What is the probability that she chooses 3 particular books to check out from the 10 initial books?
The probability that she chooses 3 particular books to check out from the 10 initial books is 0.0574
In this question,
Paige is choosing between 10 books at the library.
We need to find the probability that she chooses 3 particular books to check out from the 10 initial books.
The probability of choosing 1 book = 1/10
So, the probability of success (p) = 1/10
the probability of failure (q) = 9/10
Using Binomial probability distribution,
P(x = 3) = [tex]^{10}C_3\times (\frac{1}{10} )^3\times (\frac{9}{10} )^7[/tex]
P(x = 3) = 120 × 0.001 × 0.4783
P(x = 3) = 0.0574
Therefore, the probability that she chooses 3 particular books to check out from the 10 initial books is 0.0574
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Help ASAP PLS 10 Points
Use the figure below to answer questions #1-4. You can also use DESMOS to help you answer this question.
What are the coordinates of the original point, G?
Which of the following options would represent the solution to the linear inequation:15−2(2x−1)<15?
The solution to the linear inequation is x>1/2 .
InequalityIt is an expression mathematical that represents a non-equal relationship between a number or another algebraic expression. Therefore, it is common the use following symbols: ≤ (less than or equal to), ≥ (greater than or equal to), < (less than), and > (greater than).
The solutions for inequalities can be given by: a graph in a number line or numbers.
For solving this exercise, it is necessary to find a number solution for the given inequality.
15−2(2x−1)<15
15-4x+2 < 15
-4x < -2
4x > 2
x > 2/4
x> 1/2
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find the product of 28, -5 and 17
Answers
-1,904
-85
-2,389
-140
The product of given integers 28, -5 and 17 is -2380.
The given numbers are the product of 28, -5 and 17.
We need to find the product of the given numbers.
What is the product of integers?The product of two integers with like signs is equal to the product of their absolute values.
(i) The product of two positive integers is positive.
(ii) The product of two negative integers is positive.
(iii) The product of one positive and one negative integer is negative.
The product of 28, -5 and 17 is calculated as follows:
Now, 28 × (-5) × 17
= (28 × (-5)) × 17
= (-140) × 17
= -2,380
Therefore, the product of given integers 28, -5 and 17 is -2380.
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Answer:
-2380 (None of the option)
Step-by-step explanation:
Now we have to,
→ find the product of 28, -5 and 17.
Let's solve the problem,
→ x = 28 × ((-5) × 17)
→ x = 28 × -85
→ [ x = -2380 ]
Hence, the answer is -2380.
Find the product of (2 x 107) and (3 x 107). write the final answer in scientific notation. 6 x 10014 6 x 1049 6 x 107 6 x 1014
The final answer in scientific notation is 6×10¹⁴.
When the numbers are in scientific notation, the multiplication is accompanied with addition of exponents. So, the numbers will be multiplied and exponents will be added.
Writing the equation to find the product by performing the calculation -
Product = 2×10⁷ × 3×10⁷
To perform addition of exponent of the number 10⁷ and to perform the multiplication of the number rewriting the equation
Product = (10⁷⁺⁷)×(2×3)
Adding the exponent and performing multiplication of the numbers to find the product of the given numbers in scientific notation
Product = 10¹⁴×6
Hence, the final answer on multiplication of given numbers is 6×10¹⁴.
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Solve the inequality and graph the solution on the line provided.
5x+8>3
The inequality can be simplified to:
x > -1
And the graph can be seen in the image below.
How to solve the inequality?Here we have the inequality:
5x + 8 > 3
To solve this, we need to isolate the variable x in one side of the inequality.
5x + 8 > 3
We subtract 8 in both sides:
5x > 3 - 8
5x > -5
Now we divide both sides of the inequality by 5.
x > -5/5
x > -1
Now, to graph this, we need to do an open circle at x = -1, and shade all the region to the right of this point, like in the example below.
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Suppose your teacher accidentally gives you a multiple-choice calculus test, instead of an Algebra 2 test. There are 40 true-false questions, and you and your classmates answer the questions randomly. The probability of getting an answer correct is 1/2 . You can use 1/2 as the population proportion.
Develop a simulation for answering the 40 questions. Record your results.
Answer:
Step-by-step explanation: You may have a chance of getting 20 questions correct while another 20 wrong. So if you have 1/2 the probability with your class it would be around 20 correct and 20 wrong.