Answer:
17/66
Step-by-step explanation:
Complete question:
An experiment consists of selecting two marbles from an urn, in succession and without replacement. The urn contains 17 green marbles and 16 yellow marbles. Find the probability that: both marbles are green?
? a. 0.5006 b. 0.0682 c. 0.6123 d. 0.2872 e. 0.2576
Solution:
Total number of green marbles=17
Total number of yellow marbles=16
Total number of marbles=17+16=33
We have to find the probability that both marbles are green.
Now, the probability that both marbles are green=\(\frac{17}{33}\times \frac{16}{32}\)
Using the formula of probability
\(P(E)=\frac{Number\;of\;favorable\;cases}{Total\;number\;of\;cases}\)
The probability that both marbles are green=17/66
100 Points...
The number of bacteria in a certain population increases according to a continuous exponential growth model, with a growth rate parameter of 5.8% per hour. How many hours does it take for the size of the sample to double?
I need the number of hours
reasons
evidence
reasoning and counterargument
Answer:
17.2413793103 hours
Step-by-step explanation:
100 divided by 5.8 = 17.2413793103
hope this helps!
What is the solution of the equation
5 = 22?
Answer:X=17
Step-by-step explanation:
Im not 100% sure
A streetlight that is 8 feet tall casts a 3-foot-long shadow. A nearby flagpole casts a 15-foot-long shadow. What is the height of the flagpole?
Answer:
The Flag pole is 20 ft tall.
Step-by-step explanation:
The reasoning is that the street lights shadow is 5 ft less than its height so there fore the flag poles height is 20 ft.
The height of the flagpole with 15-foot-long shadow is 40 feet.
Given that, a streetlight that is 8 feet tall casts a 3-foot-long shadow.
What are heights and distances?Heights and Distances is a study about the applications of Trigonometry. It has many real-life applications, such as measuring the object’s height, depth of the object, the distance between two celestial objects etc. The formulas and the ratios of trigonometry are helpful in the study of heights and distances.
Now, tan θ = 8/3
⇒ θ = \(tan^{-1} (\frac{8}{3})\)
⇒ θ = 69.44°
Let height of the flagpole be x.
So, tan θ = x/15
8/3 = x/15
⇒ x = 40 feet
Therefore, the height of the flagpole with 15-foot-long shadow is 40 feet.
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For the equation f(x) = 1.1 * (0.44) ^ x state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x
c = (Type an integer or a decimal)
a = (Type an integer or a decimal)
R = % (Simplify your answer. Type an integer or a decimal)
The parameters of the exponential function in this problem are given as follows:
c = 1.1.a = 0.56.R = -56%.What is an exponential function?The standard format of an exponential function is given as follows:
y = c(1 - a)^t.
This is the case for a decaying exponential function, and the meaning of each parameter is given as follows:
c is the initial value, value assumed by y when t = 0.a is the decay rate.In this problem, the function is given as follows:
f(x) = 1.1(0.44)^x.
Hence the values for the parameters are given as follows:
c = 1.1, which is the initial value.a = 0.56, as 1 - a = 0.44 -> a = 0.56.Then the percent of change is of -56%, as it is a decaying exponential function with a = 0.56.
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1.
How many degrees does the hour hand of
a clock turn in 5 minutes?
(A)1/2
(B)3 1/2
(C) 5°
(D)2 1/2
Answer:
The answer is D (2 1/2)
Hope u helped
Each side of a regular polygon is 3.2 cm in length. The perimeter of the polygon is 19.2 cm. How many sides does the polygon have? What is the name of the polygon?
Answer:
The polygon consists of 6 sides and the given polygon is a regular hexagon.
Step-by-step explanation:
The definition of perimeter is the total measure of the side lengths of a polygon. If the polygon said is regular, it means the polygon has equal sides and equal angles.
So the perimeter of a regular polygon is given by the formula:
P = (length of one side) x (number of sides)
In this case, the perimeter of the polygon is 19.2 cm and one side is equal to 3.2 cm.
DIVIDE (use the formula but in division to maintain a proportonal relationship):
19.2 ÷ 3.2 = 6
You could alsk check if its correct using the formula:
19.2 = 3.2 x 6 (TRUE)
A 6 sided regular polygon is known as a HEXAGON.
Hope this helps!
A triangle has a perimeter of 13. If it has
sides of x/2,( x – 5), and (x - 2) lengths,
then:
a) find the value of x
b)find the length of the longest side
\(\stackrel{\textit{\LARGE sides}}{\cfrac{x}{2}+(x-5)+(x-2)~}~ = ~~13\implies \cfrac{x}{2}+2x-7=13 \\\\\\ \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left( \cfrac{x}{2}+2x-7 \right)=2(13)}\implies x+4x-14=26\implies 5x-14=26 \\\\\\ 5x=40\implies x=\cfrac{40}{5}\implies \boxed{x=8} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(8)}{2}\implies 4\hspace{5em}(8)-5\implies 3\hspace{5em}\underset{Longest}{(8)-2\implies 6}\)
A straight highway is 100 miles long, and each mile is marked by a milepost numbered from 0 to 100. A rest area is going to be built along the highway exactly 7 miles away from milepost 58. If m is the milepost number of the rest area, which of the following equations represents the possible locations for the rest area?
Answer:
Step-by-step explanation:
The milepost number of the rest area is 7 miles away from milepost 58, so it can be represented by the equation:
m = 58 + 7
This equation states that the milepost number of the rest area is equal to 58 plus 7, or 65. Therefore, the rest area can be located at milepost 65.
6. If the laser tag fans get their way, and the group bowls only 1 game, will they have
enough money to play 5 games of laser tag? Use your expression from question 4 to
calculate the cost of 1 game of bowling and 5 games of laser tag. (3 points: 1 point
for the answer, 1 point for showing your work, and 1 point for answering the
question)
Show your work:
Which of the following is equivalent to (x - 2)^2
(x - 2)(x+2)
(2-2)(x - 2)
(x-2)(x+2)
Answer:
(x-2)(x-2) or (x+2)(x+2)
Step-by-step explanation:
since you are squaring it, technically the terms are negative, but the product will be positive. when you multiply two negative factors, you get a positive answer. so either both can be negative or both can be positive.
4 3/12 + 1 4/12 = (make sure you simplify the fraction)
Answer:
5 7/12 but it's 67/12 as an improper fraction
Step-by-step explanation:
Which lst of ordered pairs represents solutions to x+y= 2? (4.6), (0, 2), (4, 2) (4,6), (0, 2). (4, 2) (4,-6), (0, 2), (4, 2)
answer: x+y=2
0+2=²
( 0 , 2 )
Answer:
(0,2)
Step-by-step explanation:
0 + 2 = 2
Where x = 0, y = 2
Can someone please help me!
8. A photographer has 8 photos to choose from to display at a local art exhibit. The
photographer randomly selects 5 photos to display on the first day. You randomly select 5 photos. What is the probability you select the photos in the same order as the photographer displays them on the first day?
Answer:
Step-by-step explanation:
MARKING BRAINLIEST AND GIVING LOTS OF POINTS TRIPLE PLEASE ANSWERS ASAP!!!’
found this online, hope it helps !!
Drag steps of the solution into order to solve for x in the equation 7(x-4)=84
The measure of an angle is 18.2°. What is the measure of its complementary angle?
Help will mark brainly
Answer:
2
Step-by-step explanation:
Answer:
number 2
Step-by-step explanation:
I hoped I helped=_=
please help with this question
The probability of the sample mean being less than 25.3 is given as follows:
0.9713 = 97.13%.
The sample mean would not be considered unusual, as it has a probability that is greater than 5%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation given by the equation presented as follows: \(s = \frac{\sigma}{\sqrt{n}}\).The parameters for this problem are given as follows:
\(\mu = 25, \sigma = 1.3, n = 68, s = \frac{1.3}{\sqrt{68}} = 0.1576\)
The probability of a score less than 25.3 is the p-value of Z when X = 25.3, hence:
Z = (25.3 - 25)/0.1576
Z = 1.9
Z = 1.9 has a p-value of 0.9713.
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Find the equation of a parabola with a vertical axis and its vertex at the origin and passing through the point (-2, 3).
Answer:
\(y=\frac{3}{4}x^2\)
Step-by-step explanation:
Hi there!
Because we're given the vertex of the parabola, we can determine its equation in vertex form:
\(y=a(x-h)^2+k\) where the vertex is \((h,k)\)
Plug in the vertex (0,0)
\(y=a(x-0)^2+0\\y=a(x)^2\\y=a(x-0)^2+0\\y=ax^2\)
Now, we must solve for a. Plug in the given point (-2,3) and solve for a:
\(3=a(-2)^2\\3=4a\\\frac{3}{4} =a\)
Therefore, the value of a is \(\frac{3}{4}\). Plug this back into \(y=ax^2\):
\(y=\frac{3}{4}x^2\)
I hope this helps!
As the CAPS document outlines, the Content Specification and Content Clarification for Patterns, Functions, and Algebra shows sequenced mathematics content topics and a content area spread. In the Intermediate Phase, select one topic and report on the topic sequence and content area spread. Your report should demonstrate mathematics concepts and procedures’ hierarchical and logical progression.
Answer:
Step-by-step explanation:
In the Intermediate Phase of mathematics education, one topic that demonstrates a hierarchical and logical progression in patterns, functions, and algebra is the concept of "Linear Equations."
The topic of Linear Equations in the Intermediate Phase builds upon the foundation laid in earlier grades and serves as a stepping stone towards more advanced algebraic concepts. Here is an overview of the topic sequence and content area spread for Linear Equations:
Introduction to Variables and Expressions:
Students are introduced to the concept of variables and expressions, learning to represent unknown quantities using letters or symbols. They understand the difference between constants and variables and learn to evaluate expressions.
Solving One-Step Equations:
Students learn how to solve simple one-step equations involving addition, subtraction, multiplication, and division. They develop the skills to isolate the variable and find its value.
Solving Two-Step Equations:
Building upon the previous knowledge, students progress to solving two-step equations. They learn to perform multiple operations to isolate the variable and find its value.
Writing and Graphing Linear Equations:
Students explore the relationship between variables and learn to write linear equations in slope-intercept form (y = mx + b). They understand the meaning of slope and y-intercept and how they relate to the graph of a line.
Systems of Linear Equations:
Students are introduced to the concept of systems of linear equations, where multiple equations are solved simultaneously. They learn various methods such as substitution, elimination, and graphing to find the solution to the system.
Word Problems and Applications:
Students apply their understanding of linear equations to solve real-life word problems and situations. They learn to translate verbal descriptions into algebraic equations and solve them to find the unknown quantities.
The content area spread for Linear Equations includes concepts such as variables, expressions, equations, operations, graphing, slope, y-intercept, systems, and real-world applications. The progression from simple one-step equations to more complex systems of equations reflects a logical sequence that builds upon prior knowledge and skills.
By following this hierarchical progression, students develop a solid foundation in algebraic thinking and problem-solving skills. They learn to apply mathematical concepts and procedures in a systematic and logical manner, paving the way for further exploration of patterns, functions, and advanced algebraic topics in later phases of mathematics education.
Solve the compound inequality and give the answer in interval notation.
The solution to the compound inequality in interval notation is [-7, 5)
How to determine the solution to the compound inequalityFrom the question, we have the following parameters that can be used in our computation:
3x - 10 < -5x + 30 AND 3(-7x - 7) + 6 ≤ - 6x + 132
Evaluate the like terms in the above expression
So, we have the following representation
8x - 10 < 30 AND 3(-7x + 7) + 6 ≤ - 6x + 132
Open the brackets
This gives
8x - 10 < 30 AND -21x + 21 + 6 ≤ - 6x + 132
Evaluate the like terms in the above expression
So, we have the following representation
8x < 40 AND -15x ≤ 105
Divide both sides by the coefficient of x
This gives
x < 5 AND x ≥ -7
Combine the inequalities
[-7, 5)
Hence, the solution is [-7, 5)
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Read the following paragraph and answer the question. "Emest Cline is an American Screenwriter and author. Ernest was born in 1972. He started his writing career in 1992
doing spoken word poetry. His best known works include "Dance Monkey Dance' and 'When I Was a Kid. He then moved to film, as the screenwriter of the film Fanboys. He then released one of the most entertaining novels of all time, Ready Player One Today Cline is still working, writing for many projects." Why type of informational text is this?
A. Memoir
B. Autobiography
C. Essay
D. Biography
The given passage is telling the life story of Emest Cline, therefore, this is a Biography.
What is a Biography?A biography is simply the story of a real person's life. It could be about a person who is still alive, someone who lived centuries ago, someone who is globally famous, an unsung hero forgotten by history, or even a unique group of people.
The given passage is about the famous American Screenwriter and author, Emest Cline,
The passage is telling his works, his career achievements, his first work, his latest work, the most successful work.
We know that, a biography is usually written history of a person's life.
The value of the passage is the same as a biography.
Therefore, the given passage is telling the life story of Emest Cline, therefore, this is a Biography.
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Which shows the list of Numbers in order from least to greatest? 1421,1-6.11-2,135 0 -2, 11, 1351, 1-4 21. O-2.1-4).-4,1351,1-42 , 14, • 2.1-4).-11,442,195 O 1851. 1951.-4.-11-2, 1421
Answer:
this one is least to greatest -4 -11-2, 1421
Step-by-step explanation:
you have to do the least number to the greatest so a negative number would be least but you can't get confused you have to do the east number.
which of these steps will eliminate a variable in this system 6x - 3y = 8
23 + 6y = 16
The values of x and y after solving this system of equations will be 32/35 and -88/105 respectively.
What are system of equations?System of equations are a set of two or more equations that contain variables. The values of the variables can be calculated using either method of elimination or substitution. The values of the variables must then satisfy all the equations.
What is the method of elimination?For a set of two equations, in elimination we make the coefficient of any one variable equal to the coefficient of the same variable in the other equation. This can be done by multiplying or dividing the whole equation accordingly. Then we subtract the equations from each other and solve for one variable.
6x - 3y = 8 (multiplying this equation by -2 to make the coefficient of y equal to that of in the equation 23x + 6y = 16)
Now are equations are
-12x + 6y = -16 and 23x + 6y = 16
subtracting eq 1 from eq 2 gives,
35x = 32 (Note that y has now been eliminated)
x = 32/35
Substituting this value of x in any one of the equations will then give the value of y to be -88/105
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A bus seats 4 people in a row, and there are 12 rows. How many people would fit on 2 buses what is the answer?
Answer:
96 people
Step-by-step explanation:
Find the value of x to the nearest degree.
the line in the same plane which do not interest Each Other are called ________ lines
parallel lines or skew lines
Parallel lines are in Same plane or Coplanar but donot intersect each other.Skew lines lie in same plane but don't intersect each other.
How many terms are in 2x-7+y?
.......
3
Step-by-step explanation:
There is three terms
Management at a home improvement store randomly selected 45 customers and observed their shopping habits. They recorded the number of items each of the customers purchased as well as the total time the customers spent in the store. Identify the types of variables recorded by the managers of the home improvement store.
Answer:
c. number of items - discrete; total time - continuous
Step-by-step explanation:
The question is incomplete due to the lack of the following options:
to. number of items - continuous; total time - discrete
b. number of items - continuous; total time - continuous
c. number of items - discrete; total time - continuous
d. number of items - discrete; total time - discrete
Knowing this, the type of variables recorded by managers of the home improvement store are,
c. number of items - discrete; total time - continuous
Discrete variables are those that are well defined and in the finite set of values and continuous variables are variables that can take a value between any of the other two values.
We have a promotion that will allow us to beat our competitors' prices and save you money. Did you notice that our competitor is selling that same item for $150.00?
Customer: "Yes"
Employee: "Our price for that item is $120.00, for a savings of __________."