Answer:
c) 7(7 + 4)
Step-by-step explanation:
Given expression,
→ 49 + 28
Then equivalent expression is,
→ 7(7 + 4)
→ (7 × 7) + (7 × 4)
→ 49 + 28
Hence, the answer is 7(7 + 4).
Answer:7(7+4)
Step-by-step explanation:
when there are few data, we often fall back on personal probability. there had been just 2424 space shuttle launches, all successful, before the challenger disaster in january 1986. the shuttle program management thought the chances of such a failure were only 11 in 100,000.in 100,000. suppose 11 in 100,000100,000 is a correct estimate of the chance of such a failure. if a shuttle was launched every day, about how many failures would one expect in 300 years?300 years? round your answer to the nearest whole number.
If a shuttle was launched every day, about 1 failures would one expect in 300 years.
What is estimate?Finding an estimate or approximation—a value that can be used for a purpose despite the possibility of incomplete, uncertain, or unstable input data—is the process of estimation. Despite this, the value is still useful because it was created using the most up-to-date data.
Here,
There are about 110,000 days in 300 years, so the expected number of failures is about 10/11 ≈ 1.
This assumes the launch conditions are identical for each of the launches, or that whatever variation there might be has no effect on the probability. These are bad assumptions.
If a shuttle was launched every day, one might anticipate one failure every 300 years.
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You bought 5 tickets for $30. How many tickets could you purchase for $90?
15
5 t = 30$
1t = 30/5
= 6$ per ticket
then, 90$/6 = 15 tickets
Given a∥b , and c is not parallel to a or b, which statements must be true?
Select each correct answer.
Responses
m∠1=m∠8
m∠1=m∠12
m∠3=m∠7
m∠5=m∠9
Answer: first one
Step-by-step explanation:
7. A. Write a second equation so that the system will have no solutions. B. Write a second equation so that system
will have infinitely many solutions. 2x - 4y = 22
A) The second equation is 2x - 4y +20=0, this system has no solutions.
B) The second equation is x-2y-11=0, this system has infinite number of solutions.
What is meant by an equation?An equation is a mathematical formula that expresses the equality of two expressions by connecting them with the equals sign =. The term equation and its cognates in various languages may have subtle changes in meaning.
Solving an equation with variables includes determining which variables' values result in equality. The variables for which the equation must be solved are also known as unknowns, and the unknown values that satisfy the equality are known as equation solutions. There are two sorts of equations: identities and conditional equations. An identity holds true for all variable values.
Given equation is,
2x - 4y = 22
A) Let the second equation be
2x - 4y +20=0
∴a₁/a₂=1
b₁/b₂=1
c₁/c₂=-11/10
Therefore, a₁/a₂=b₁/b₂≠c₁/c₂
Hence, the system has no solution.
B) Let the second equation be,
x-2y-11-0
Therefore, a₁/a₂=b₁/b₂=c₁/c₂=2/1
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Please help me 2x+2+38x+8=90
Step-by-step explanation:
Its a simple algebraic expression
Ben earns $9 per hour and $6 for each delivery he makes. He wants to earn more then $155 in an 8 hour workday. what is the least number of deliveries he must make to reach his goal?
Answer:
The least number of deliveries that Ben must make is 14.
Step-by-step explanation:
the number defects per part from an aging machine is shown below. number of defects (x) per part 0 1 2 3 4 5 probability p(x) 0.15 0.20 0.30 0.10 0.20 0.05 what is the mean of the data?
The mean of the following data is 0.1800
What is mean?In mathematics and statistics, the concept of mean is crucial. The most typical or average value among a group of numbers is called the mean.It is a statistical measure of a probability distribution's central tendency along the median and mode. It also goes by the name "expected value."There are different ways of measuring the central tendency of a set of values. There are multiple ways to calculate the mean. Here are the two most popular ones:Arithmetic mean is the total of the sum of all values in a collection of numbers divided by the number of numbers in a collection.acc to our question-
100C5 * .05^5 *.95^95 ~ 18.00%hence,The mean of the following data is 0.1800
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Arithmetic Sequence - Identify the first term and common difference
i) The first term, a is 3 and the common difference, d, is 2
ii) The first term, a is 18 and the common difference, d, is -5
iii) The first term, a is 8 and the common difference, d, is 11
iv) The first term, a is -15 and the common difference, d, is -4
v) The first term, a is 4.5 and the common difference, d, is 0.8
Arithmetic sequence: Determining the first term and the common differenceFrom the question, we are to determine the first terms and the common differences of the arithmetic sequences.
The first term, a, is the first number in the sequence and the common difference, d, is the value of the difference between the second term and the first term.
That is,
Common difference = Second term - First term
i) 3, 5, 7, 9, ...
a = 3
d = 5 - 3
d = 2
ii) 18, 13, 8, 3, ...
a = 18
d = 13 - 18
d = -5
iii) 8, 19, 30, 41, ...
a = 8
d = 19 - 8
d = 11
iv) -15, -19, -23, -27, ...
a = -15
d = -19 - (-15) = -19 + 15
d = -4
v) 4.5, 5.3, 6.1, 6.9, ...
a = 4.5
d = 5.3 - 4.5
d = 0.8
Hence, the first term is 4.5 and the common difference is 0.8
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The graph shows how many gallons of gas are used by a boat when it travels how many gallons of gas would the boat use to travel 24 miles
To travel 24 miles of distance it require 16 gallons of gas
Ratio :
A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Proportion :
A proportion is an equation in which two ratios are set equal to each other,
From the graph,
We are observing that,
The boat uses 4 gallons to travel 6 miles. Traveling 4 times as far is expected to require 4 times the gas.
In 4 gallons of gas travelling 6 miles,
that is,
In simple word,
4 gallons = 6 miles
Multiply both side by 4 we get,
4 x 4 gallons = 6x4 miles
16 gallons = 24 miles
Thus we can say,
To travel 24 miles of distance it require 16 gallons of gas
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The table below gives the cost per person to buy tickets for an upcoming concert. Find the rate of change.
Option (a) is the correct option and the rate of change of the cost per person is 74/1.
As, we are given the table that the cost per person to buy tickets for an upcoming concert.
Persons Cost
2 148
3 222
4 296
5 370
So, the rate of change is,
rate of change = change in cost / change in persons
Rate of change = (222 - 148)/(3 - 2)
= 74/1
= 74
So, 74/1 is the rate of change.
Hence, Option (a) is the correct option and the rate of change of the cost per person is 74/1.
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A colony of bacteria double every half hour. How many
new bacteria would there be after 4 hours if there are
60 bacterium to start?
A construction crew has just built a new road. They built the road at a rate of 31.25 kilometers per week. They worked for 5 weeks. How many kilometers of road did they build?
Write an inequality for the statement:
-2/7 is at most the product of a number and -4/5.
The inequality for the statement:-2/7 is at most the product of a number and -4/5. is --4x/5 ≤ -2/7
How to write the inequality for the given statementInformation from the question
the statement: -2/7 is at most the product of a number and -4/5
Inequality is a means of representing the relationship existing between the positive and negative parts of equations, using other terms aside exactly using equal to
at most means the highest value hence the answer is either the number or less.
let the number be x
x * -4/5 ≤ -2/7
--4x/5 ≤ -2/7
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Hey scale drawing of an nfl goal post uses a scale of 2 inches equal 5 feet if the actual width of the goalposts is 18 1/2 feet what is the width of the goal post on the drawing
A scale drawing of an NFL goal post uses a scale of 2 inches equal 5 feet if the actual width of the goal posts is 18 1/2 feet what is the width of the goal post on the drawing.
If 3 inches on the scale drawing represents 5 feet in actuality, determine the actual area of a kitchen if the area of the scale drawing is 45 inches 3 inches to 5 feet is 1:20
From the question asked you cannot determine the area. (No width given) You state the measurement is 45 inches (not square inches) 45 inches at 20:1 = 900 inches or 75 feet (linear)
Hence the answer is 75 ft.
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Answer:
75 ft
Step-by-step explanation:
5.
8cm
The diagram shows a prism.
9cm
5cm
Not to scale
Work out the volume of the prism.
3cm
10cm
Answer:
9cm r=2x3x9= 54. Find the volume of the cube. Include units. 5cm ... Not to scale. Work out the volume of the prism. Area of front. 3x5=15. 3cm 4x8=32. 10cm.
Step-by-step explanation:
Answer:
470 cm³
Step-by-step explanation:
You want the volume of a prism with an L-shaped base.
VolumeThe volume of a prism is given by ...
V = Bh
where B is the area of the base, and h is the distance between bases.
Base areaThe base is has an L-shape. Its area can be found by extending the horizontal line to divide the figure into two rectangles.
The top rectangle is 4cm × 5cm, so has an area of ...
A = LW = (4 cm)(5 cm) = 20 cm²
The bottom rectangle is 9 cm × 3 cm, so has an area of ...
A = LW = (9 cm)(3 cm) = 27 cm²
Then the total base area is ...
B = (top rectangle area) + (bottom rectangle area)
B = (20 cm²) +(27 cm²) = 47 cm²
Prism volumeThen the volume is ...
V = Bh = (47 cm²)(10 cm) = 470 cm³
The volume of the prism is 470 cm³.
for an arbitrary markov chain on a state space consisting of exactly d states, find (with proof) the largest possible positive integer n such that for some states i,j, we have p(n) ij > 0 but p(n) ij
Here, d-1 is the largest possible value of N.
Given info,
For an arbitrary Markov chain on a state space consisting of exactly d states, find (with proof) the largest possible positive integer n such that for some states i,j, we have p(n) ij > 0 but p(n) ij.
We will prove that N ≤ d - 1
In light of this, there are states I and j such that the path from I to j has at least N edges, which implies that the path from I to j has at least d edges.
However, since there are only d states, the distance between any two states can be no greater than d-1. N can't thus be bigger than d-1.
Now, d-1 is the largest possible N because if we take a look at a Markov chain, if I is between 1 and d, we can only move to state 2 and if I is already at state d, we can only move to state d-1. However, if I am already at state 1, we can only move to state 1 and if I am already at state 2, we can only move to state i+1.
This sample contains d-1 edges on the way from state 1 to d. N = d-1 hence holds in this situation.
Therefore, N can have a value as large as d-1.
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13. g(x)=(x-3) Page 186
y = x - 3
slope: 1
y=intercept; (0,-3)
An unopened sweet packet contains red and yellow sweets in the ratio 1:1.
A child opens the packet and eats six of the red sweets.
The ratio of red to yellow sweets in the packet is now 4:5.
How many sweets are still in the packet?
Answer:
Step-by-step explanation: The number of yellow sweets is 28. Step-by-step explanation: Ratio of red to yellow sweets is 3:7. Total sweet is 40. total ratio is 3 + 7 = 10.
people with type o- blood are universal donors. that is, any patient can receive a transfusion of o- blood. only 7.2% of the american population has o- blood. if 10 people appear at random to give blood, what is the probability that at least 1 of them is a universal donor?
The probability that at least 1 of them is a universal donor 20.1%
What is a probability simple definition?A probability is a numerical representation of the possibility or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
What are probability and types?Mathematics' study of random events is known as probability, and there are four primary forms of probability: axiomatic, classical, empirical, and subjective. Since probability is the same as possibility, you might argue that it is the likelihood that a specific event will occur.
According to the given equation:-
The probability that at least one of every three is O-negative is 20.1%
Note that the question is unfinished. The following question is similar:
Type O-negative individuals can donate blood to anyone. In other words, O-negative blood can be transfused to any patient. Only 7.2% of Americans have blood that is O-negative. What is the likelihood that at least one of the ten Americans we randomly choose donating blood is a universal donor?
Detailed explanation:
7.2%, or 0.072, of the population has O-negative blood.
Probability of not being O-negative is equal to 1 - P(O-negative), which is 1 - 0.072, or 0.928.
Using the multiplication rule, calculate the likelihood that 10 persons are O-negative.
Probability that 10 is not zero = (P (not O-negative) ¹⁰ = (0.928) (0.928) ¹⁰ =0.4737
Therefore, the probability that at least one is O-negative is given by the formula: 1 - P(not O-negative) = 1 - 0.4737 = 0.5263.
P(at least 1 in 10 being O-negative) = 52.63% in percentage
to 3 arbitrary donors
likelihood of 3 not - (P) negative (not O-negative) ³ = (0.928) (0.928) ³ = 0.7991
As a result, the likelihood that at least 1 is O-negative is equal to 1 - P(3 not O-negative) = 1 - 0.7991 = 0.2009.
P(at least 1 out of 3 being O-negative) = 20.1% in percentage
Examine all related responses
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What are area and perimeter of figures?.
Certain figures are explained in both cases in perimeter as well as area,
to illustrate the examples of geometrical figures.
What is Geometrical Figures?Geometrical shapes are shapes that illustrates the shapes of different items. some figures have two dimensions, while others have three. Only the x and y axis are used for two-dimensional structure, whereas the x, y, and z axes are used for three-dimensional structures. The height of the object is displayed in the z-axis.
In Mathematics area and perimeter of certain figures are known,
Rectangle
Perimeter of a Rectangle = 2(a+b)
Area of Rectangle = a × b
Square
Perimeter of a Square = 4a
Area of a Square = a²
Triangle
Perimeter of a triangle = a + b +c , where a, b and c are the three different sides of the triangle.
Area of a triangle = 1/2 b × h; where b is the base and h is the height of the triangle.
Circle
Circumference of Circle = 2πr
Area of Circle = πr²
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use factoring to write two expressions equivalent to 56x^2 - 88x
Answer:
Step-by-step explanation:
well 56^2 is 56*56, 56*56= 3136
1. 3136x-88x
2. 3048x+88x
7/9 has how many 1/3 in it
Answer:
2 1/3's
Step-by-step explanation:
1/3 + 1/3 = 2/3
In the given problem, the number of 1/3 is in 7/9, 7/3
What is a fraction?Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.
Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.
Given that,
the number 7/9
fraction number 1/3
the number of fraction 7/9 has of 1/3 is,
⇒ 7/9÷1/3
⇒ 7/3
Hence, the result is 7/3
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If your monthly income is $5,000 and your rent is $2,000, what percentage of your
income is used to pay rent?
20%
30%
40%
50%
Answer: 40%
Step-by-step explanation: 2,000 ÷ 5,000 = 0.4 or 40%
write 2 5/6 as a fractions
Answer: That is a fraction. As an improper fraction, it's 17/6.
Step-by-step explanation:
Answer:
Now, 2 5/6 is a mixed fraction. To convert a mixed fraction to an improper fraction, we have to calculate (2 + 5/6). 2 + 5/6 = (12 + 5) / 6 = 17/6. Hence, 2 5/6 as a fraction is equal to 17/6.
help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The amount owed by the debtor is $10865
How to determine the amount owed in six years?The given parameters about the compound interest are
Principal Amount, P = $5300
Interest Rate, R = 8%
Time, t = 6 years
To calculate the amount owed, we make use of the following formula
A = P + CI
Where
Compound interest, CI = P(1 + R)^t - P
So, the equation becomes
A = P + P(1 + R)^t - P
Evaluate the like terms
A = P(1 + R)^t
In this question, the formula is given as
A = P(1 + r/n)^nt
Where
n = 12, i.e compounded monthly
Substitute the known values in the above equation
A = 5300 * (1 + 8%/12)^(6*12)
Express 8% as decimal
A = 5300 * (1 + 0.08/12)^(6*12)
Evaluate the sum
A = 5300 * (1.01)^(6*12)
Evaluate the exponent
A = 5300 * 2.05
Evaluate the product
A = 10865
Hence, the value of the amount after 6 years is $10865
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A baseball team sells for two games. the ratio of sold tickets to unsold tickets for the first game was 7 : 3. for the second game, the ratio was 13 : 2. there were 24 unsold tickets for the second game. how many tickets were sold for the first game?
1260 tickets were sold on the first game
For the second game, the ratio of the number of sold tickets to number of unsold tickets is 13:2
Total ratio = 13+2 = 15
There were 240 unsold tickets for the second game. Let total number of tickets for the second game be x
This means that
240 = 2/15 × x
2x/15 = 240
2x = 15 × 240= 3600
x = 3600/2 = 1800
1800 tickets were sold for the second game. Assuming total number of tickets for the first game is equal to total number of tickets for the second game. Therefore,
Total number of tickets sold for the first game is 1800
The ratio of sold tickets to unsold tickets for the first game was 7:3.
Total ratio = 7+3 = 10
Number of sold tickets for the first game would be
7/10 × 1800 = 12600/10
= 1260 tickets
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consider 3 urns. urn acontains 2 white and 4 red balls, urn bcontains 8 white and 4 red balls, and urn ccontains 1 white and 3 red balls. if 1 ball is selected from each urn, what is the probability that the ball chosen from urn awas white given that exactly 2 white balls were selected?
0.636 is the probability that the ball chosen from urn .
What is probability ?
The likelihood that something will occur is the foundation of it. The justification for probability serves as the basic foundation for theoretical probability. A coin is tossed, for instance, and the theoretical likelihood of receiving a head is 1 in 2.Urn A contains 2 W, 4 R
Urn B contains 8 W, 4 R
Urn C contains 1 W, 3 R
Probability of selecting 3 balls out of which 2 are white
P(J)=P(WWR)+P(WRW)+P(RWW)
= 2/6 * 8/12 * 3/4 + 2/6 * 4/12 * 1/4 + 4/6 * 8/12 * 1/4 = 88/288
Probability that the ball chosen from Urn A was white given that exactly 2 white balls were selected
P(A/J) = P(A ∩ J)/P(J)
= 56/288/88/288
= 0.636
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what is the range of f(X)=3x
The range is (-∞,∞),{y∣y∈R}
The range is the set of all valid y values. Using the graph to find the range.
Interval Notation: (-∞,∞)
Range: (-∞,∞),{y∣y∈R}
Graph:
In mathematics, a graph is a logical visual representation of any data. The graph shows the relationship between the values of the variables. In graph theory, a group of objects that are related in some way are represented by a graph. In essence, the edges of the objects are representations of the connections between the vertices, or nodes, of the objects. Numerous graph types are employed in mathematics and statistics to visually display data. The field of graph theory is concerned with the study of points and lines. It is a subfield of mathematics with a graph analysis emphasis.
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Which angles are coterminal with 32
Answer:
-330°
Step-by-step explanation:
just gotta trust it i guess
avery sets up a passcode on her tablet, which allows only nine-digit codes. a spy sneaks a look at avery's tablet and sees her fingerprints on the screen over nine numbers. what is the probability the spy is able to unlock the tablet on his first try? express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
The probability to unlock the tablet on his first try is [tex]P=\frac{1}{10^{9} }[/tex].
According to the statement
We have to find that the probability to unlock the tablet on his first try.
For this purpose, we know that the
Probability is the the ratio of the number of outcomes to the total number of possible outcomes.
And
The desired outcomes is the 1 because only 1 password is the correct.
And the total outcomes is the
Nine-digit codes.so,
[tex]T=10^{9}[/tex]
Because For each digit, there are 10 possible outcomes.
And the probability is the
[tex]P=\frac{1}{10^{9} }[/tex].
So, The probability to unlock the tablet on his first try is [tex]P=\frac{1}{10^{9} }[/tex].
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