Answers
The probability that a point chosen randomly inside the rectangle and is inside the Square or Trapezoid is 2/15.
We know that, probability of an event
= Number of favourable outcomes/Total number of outcomes.
Here, area of a rectangle = Length × Breadth
= 15×8
= 120 square units
Area of a triangle = 1/2 × Base × Height
= 1/2 ×(√10²-6²)×6
= 0.5×8×6
= 24 square units
Area of a trapezium = 1/2 (Sum of parallel sides)×Height
= 1/2 ×(5+7)×2
= 12 square units
Area of a square = side² = 2²
= 4 square units
(a) Probability of landing in trapezium or Square = 12/120 + 4/120
= 16/120
= 2/15
(b) Probability of landing inside the rectangle but outside the triangle = 16/120
= 2/15
Therefore, the probability that a point chosen randomly inside the rectangle and is inside the Square or Trapezoid is 2/15.
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Related Questions
On the last day of vacation, the Ramirez family drove 252 miles from a state park to its home. The drive covered 35% of the total distance the family traveled during its vacation. What is the total distance the Ramirez family traveled during its vacation?
Answers
Answer:
Step-by-step explanation:
35 percent of total miles traveled (say T)is 252 miles.
(35/100) * T=252
T=(252*100)/35 => T=720 miles
So total distance the Ramirez family traveled during its vacation is 720 miles
Answer:
720 miles
Step-by-step explanation:
Please help me! Please!
Answers
In the given situation the sample space has 16 elements and the sample space is:
1H 2H 3H 4H 5H 6H 7H 8H
1T 2T 3T 4T 5T 6T 7T 8T
What is sample space?A sample space is a set of potential results from a random experiment.
The letter "S" is used to denote the sample space.
Events are the subset of possible experiment results.
Depending on the experiment, a sample area could contain a variety of results.
There are just two possible results when we toss a coin: either head or tail.
So, S = H, T, where H is the head and T is the tail, will be the sample space.
As a result, we are aware that there will be a total of 2n outcomes available if there are 'n' coins.
So, the coin has 2 outcomes which are H and T.
And the spinner has 8 outcomes which are 1 - 8.
Then, the sample space would be as follows:
1H 2H 3H 4H 5H 6H 7H 8H
1T 2T 3T 4T 5T 6T 7T 8T
So, the sample space has a total of 16 elements.
Therefore, in the given situation the sample space has 16 elements and the sample space is:
1H 2H 3H 4H 5H 6H 7H 8H
1T 2T 3T 4T 5T 6T 7T 8T
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HELPPP ASAPPP !!!
2. Point A on the graph below represents Nate's house, and Point B represents Nate's favorite restaurant. B A If each unit on the graph represents 3/4 of a mile, how many miles does Nate live from his favorite restaurant?
Answers
Answer:
10miles I think
Step-by-step explanation:
The required distance between, Nate's house and the restaurant is 7.5 miles.
From the graph,
Consider point C on the graph, which is 6 and 8 units apart from A and B respectively.
The distance between, Nate's house and the restaurant is given as,
AB = √[AC² + BC²]
AB = √[6² + 8²]
AB = 10 units
Now 1 unit = 3/4 miles
AB = 10 * 3/4
AB = 7.5 miles
Thus, the required distance between, Nate's house and the restaurant is 7.5 miles.
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write - 5R - 5U in polar form
Answers
Answer:
(r,0)
Step-by-step explanation:
5r - 5u = 5(r - u)
Polar time coordinate = 0
So (r, 0)
The sum of three numbers is 100. The second number is 2 times the third. The third number is 8 less than the first. What are the numbers?
Answers
Answer:
Step-by-step explanation:x+y+z=100(let x ,y,z represent the first second and third numbers respectively)
Therefore,y=2z
z=x-8
y=2x-16
substituting the values of x,y and z into the question,we have
x+(2x-16)+(x-8)=100
Simplifying,we have
4x-24=100
adding 24 to both sides of the equation,
4x=100+24
4x=124
dividing both sides of the equation by the co-efficient of x,we have
4x/4=124/4
4.31=124
therefore,x=31.
Find the value of x
6x + 12
3x - 3
Answers
Answer:
19°
Step-by-step explanation:
Concept Used :-
The measure of a straight line is 180°. So the sum of angles on a straight line is 180° .Using this ,
\(\bf\implies 6x + 12 + 3x - 3 = 180\\\\\bf\implies 9x + 9 = 180\\\\\bf\implies 9x = 180-9 \\\\\bf\implies x =\dfrac{171}{9} \\\\\bf\implies\boxed{\red{\bf x = 19 }}\)
Hence the value of x is 19°The difference of -10 and the product of p and q
Answers
The expression of "The difference of -10 and the product of p and q" in algebraic notation is pq + 10
Writing the algebraic expression in algebraic notationFrom the question, we have the following parameters that can be used in our computation:
The difference of -10 and the product of p and q
The numbers are given as
p and q
The product of p and q means pq
So, we have the following
The difference of -10 and pq
The difference of -10 and pq means
pq + 10
Hence, the expression is pq + 10
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please see picture for question
Answers
Will mark brainliest
Answers
The solution is Option D.
The equation of the line is y = 28x
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the total distance traveled by the car y = 476 miles
Let the total amount of gasoline x = 17 gallons
So , the equation of line is given by
y = mx + c
where m is the slope
Slope m = y /x
Substituting the value for y and x in the equation , we get
Slope m = 476 / 17
= 28
Therefore , the equation of line is y = 28x and the graph is given below
Hence , The equation of the line is y = 28x
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Solve this system of equations by substitution.
x + y = 4
2x - 3y = 3
Answers
Answer
Given the 2 equations
x = y + 4 → (1)
2x - 3y = - 2 → (2)
Substitute x = y + 4 into (2)
2(y + 4) - 3y = - 2 ← distribute and simplify left side
2y + 8 - 3y = - 2
- y + 8 = - 2 ( subtract 8 from both sides )
- y = - 10 ( multiply both sides by - 1 )
y = 10
Substitute y = 10 into (1) for corresponding value of x
x = 10 + 4 = 14
Solution is (14, 10 ) → D
Step-by-step explanation:
Answer:
x=3
x=3y=1
I hope this helps!
Step-by-step explanation:
x+y=4
2x-3y=3
y = 4-x
2x-3(4-x) = 3
2x-12+3x = 3
5x = 15
x = 3
y = 4-x
4-3 = 1
y = 1
Solve for xRequired to answer. Single choice.Immersive Reader
(5 Points)
6(+2)−20=6
6
(
x
+
2
)
−
20
=
6
x
No Solution
=−1
x
=
−
1
=0
x
=
0
all real numbers
Answers
Answer:
the answer is no solution.
Step-by-step explanation:
Jessica takes 4 business trips a month for x months in a row. Write an expression to show how many business trips Jessica has taken.
Answers
Answer:
\( t = 4x \)
Step-by-step explanation:
We are given that in 1 month, Jessica takes 4 business trips. Take 4 as our coefficient or constant.
Let t be the total number of business trips Jessica has taken.
For 1 month, 4 trips are taken.
For x months, total business trips taken will be expressed as,
\( t = 4x \)
Let's say for example, we have 5 months in a row, i.e. x = 5. Total business trips taken by Jessica can be gotten by simply plugging in the value of x.
\( t = 4(5) = 20 trips \)
In 5 months in a row, Jessica takes 20 business trips.
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.07 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the total cost of the meal? Round your intermediate calculations and answer to the nearest cent.
Answers
Answer:
93.684
Step-by-step explanation:
They just give a 5% bonus to the price of the lunch
WILL GIVE BRAINLIEST FOR ANSWER I’m gonna fail help please
Answers
Answer: A
Step-by-step explanation:
might as well tell ur teachers ur awesome no matter wat.
In the ordered pair (6, -7), which number represents the y-coordinate?
6 or -7?
Answers
Therefore , the solution of the given problem of ordered pair comes out to be -7 is the solution.
What are ordered pairs exactly?Two distinct variables that organize themselves in a way that implies a particular sequence are referred to as "ordered pairs". The main or second components, respectively, indicate the coordinates for the x and y positions in an order pair. The sample following employs close parentheses to show the ordered combination.
Here,
In the ordered pair
=> (6, -7), the number -7 indicates the y-coordinate.
The x-coordinate is represented by number one in the sorted pair,
6, and the y-coordinate is represented by number two, -7.
So, -7 is the solution.
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The answer of the given question based on the number that represents the y-coordinate 6 or -7 is the number -7 represents the y-coordinate.
What is Graph?In mathematics, a graph is a collection of points, called vertices or nodes, and lines connecting some or all of these points, called edges or arcs. Graphs are used to model and study relationships between objects or events.
Graphs can be used to represent a variety of things, like social networks, road networks, electrical circuits, chemical compounds, and more. They are also used in computer science and data analysis, where they can be used to represent data structures, algorithms, and data relationships.
There are different types of graphs, including directed and undirected graphs, weighted graph and unweighted graphs, and connected and disconnected graphs. The study of graphs is called graph theory, and it has applications in a variety of fields, including computer science, physics, engineering, and social sciences.
In the ordered pair (6, -7), the number -7 represents the y-coordinate.
In an ordered pair (x, y), the x-coordinate represents the horizontal position on the graph, while the y-coordinate represents the vertical position on the graph.
So, in the given ordered pair (6, -7), the number 6 represents the x-coordinate, and the number -7 represents the y-coordinate.
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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answers
The scaled triangle will be larger than the initial size by a factor 2.
The scaled square will be smaller than the initial side by a factor 4.
What is dilation?Dilation refers to a transformation that changes the size of a geometric figure without altering its shape.
Dilation involves scaling an object by a certain factor, that might result in enlarging or reducing its dimensions uniformly in all directions.
Based on the given diagram, the new length and size of the object is calculated as follows;
For the triangle, (measure the length with ruler)
new lengths = 2 times the original lengthoriginal length = 2 cm, new length = 4 cmthe new size of the triangle will increase by a factor 2For the square; (measure the length with ruler)
new lengths = 0.25 times the original lengthoriginal length = 4 cm, new length = 2 cmthe new size of the square will decrease by a factor 4Learn more about dilation here: brainly.com/question/20482938
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Zahar is planning to construct a fence for his garden and wants to estimate the total cost for the fencing. He represents his garden in a coordinate
plane in which each unit represents 2 feet.
The cost of fencing is $7.79 per foot. Find the perimeter of the garden and the total cost of fencing. For help, see this worked example
Type the correct answer in each box. Use numerals instead of words.
The perimeter is
The cost of the fencing is $
feet.
Answers
Answer:72 feet
$560.88
What is the first step to solve the following system of equations using substitution?{x−y=12{2x−y=12 A) Solve the first equation for x.B)Add the two equations together.C) Multiply the first equation by 2.D)Divide the second equation by 2.
Answers
Solution
A) Solve the first equation for x.
Help please?Given the criteria for a possible function,Classify the critical points as relative maximums, relative minimums or neither.
Answers
Given:
f'(2) = 0 and f'(5) = 0
Thus, we have:
f'(x) = 0 at x = 2 and x = 5
Let's classify the critical points as relative maximums, relative minimums or neither.
Now, we have the following:
• When x = 2, the function f'(x) does not change its sign. Hence, x = 2 is neither a relative maximum nor relative minimum point.
• When x = 5, the sign f'(x) changes sign from positive to negative. Since the sign changes from positive to negative, hence x = 5 is a relative maximum point.
ANSWER:
• Relative maximum: x = 5
,• Neither relative maximum nor minimum: x = 2
Henry steps onto an elevator at the first floor. He goes up to the 9th floor and then comes down 2 floors. He then goes up 4 floors and down 6 floors. What floor is Henry on?
Answers
Answer:
He is on the 5th floor
Step-by-step explanation:
9 - 2 = 7
7 + 4 = 11
11 - 6 = 5
Answer:
he goes 1 +9=10
10-2=8
8+4=12
12-6=6
so he is ont the sixth floor
Aris and Josiah are reading a 50-page book for their ELA class. Aris wants to know what page Josiah is reading. Josiah gives her two hints: 1. The product of the two page numbers he can see is 930. 2. The page he is reading is an odd numbered page.
Answers
Answer:
31
Step-by-step explanation:
Let x and (x + 1) be the page numbers Josiah can see
Hint 1: x(x + 1) = 930
⇒ x² + x = 930
⇒ x² + x - 930 = 0
Using quadratic formula,
\(x = \frac{-b\pm\sqrt{b^2 -4ac} }{2a}\)
a = 1, b = 1 and c = -930
\(x = \frac{-1\pm\sqrt{1^2 -4(1)(-930)} }{2(1)}\\\\= \frac{-1\pm\sqrt{1 +3720} }{2}\\\\= \frac{-1\pm\sqrt{3721} }{2}\\\\= \frac{-1\pm61 }{2}\\\)
\(x = \frac{-1-61 }{2}\;\;\;\;or\;\;\;\;x= \frac{-1+61 }{2}\\\\\implies x = \frac{-62 }{2}\;\;\;\;or\;\;\;\;x= \frac{60 }{2}\\\\\implies x = -31\;\;\;\;or\;\;\;\;x= 30\)
Sice x is a page number, it cannot be negative
⇒ x = 30 and
x + 1 = 31
The two pages Josiah can see are pg.30 and pg.31
Hint 2: The page he is reading is an odd number
Out of the pages 30 and 31, 31 is an odd number
Thereofre, Josiah is reading page 31
A number y satisfies y²⁴ - 256 = 0. What equation does the number x = y⁴ satisfy?
Answers
Answer:
> y²⁴- 256 = 0
> (y⁴)
x-256 = 0
or
x= 256
Step-by-step explanation: i have no idea if i am right but pls lmk if i am wrong have a good day/night (: <3
8.) The grocery store is having a sale on frozen vegetables. 4 bags are being sold for $11.96. At this rate, what is the cost of:
a) 1 bag
b) 9 bags
Answers
b) 9 bags are $26.91.
$11.96/4 is 2.99
So one bag costs $2.99 and for any rest of number of bags we just multiply that number by 2.99!!
Hope this helps. :)
Answer:
a) $2.99
b) $26.91
Step-by-step explanation:
Since 4 bags cost $11.96, you can find the price of an individual bag by dividing $11.96 by 4.
Since
$11.96 / 4 = $2.99
One bag costs $2.99
To find the price of 9 bags, just multiply 2.99$ by 9:
$2.99 * 9 = $26.91
The first shelf on Hannah’s bookshelf hoods an equal number of fiction and nonfiction. If Hannah’s selects 5 books randomly, what is the probability that 3 of the books will be fiction and 2 will be nonfiction
Answers
Answer:
The correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.
Step-by-step explanation:
What is probability?
Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true.
To find which 2 books describe a pair of dependent events:
A pair of two dependent events are simply those in which the selection of the second item is contingent on the selection of the first item, causing the probability to change.
Because the sample size is lowered when the initial item is taken without replacement, choosing the exact same item reduces the chance.
Now, in regard to the question, this means that for two of the occurrences to be independent, they must be on the same shelf and of the same type of book, so that the second book cannot be selected until the first one is.
Option D, where both books are on the same shelf and are of the same type, is the only option that fulfills this requirement.
Therefore, the correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.
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Mikey is reading a 604-page book. He read 148 pages last week. If he reads for x hours at 19 pages per hour, which equation represents how long it will take him to finish the book?
A.
148x + 19 = 604
B.
19x + 604 = 148
C.
19x + 148 = 604
D.
19x - 148 = 604
Answers
Answer:
C
Step-by-step explanation:
first take off the 148 of the 604 page book then divide the rest by 19 ,
it should be 24 hours - 1-day .
it is c because it shows my explination because 19x + 148 is equal to 604 first take the 148 and 19 and x means multiplication so 19 times 24 = 456.
6 to the 3rd power ÷ 4 + 2 x 9(32 x 8 – 17 x 4).
HELP
Answers
Answer:
6 to the 3rd power ÷ 4 + 2 ×9(256-17×4)
6 to the 3rd power ÷ 4 + 2 ×9(256-68)
6 to the 3rd power ÷ 4 + 2 ×9×188
216 ÷ 4 + 2 × 1692
216 ÷ 4 + 3384
54 + 3384
=3438
Match the equation with its graph. 3 SX-2 4
Answers
Answer:
Step-by-step explanation:
hello
which of te following statemnet are true
Answers
Answer:
B
Step-by-step explanation:
Clearly BD is shorter than AE so that is false.
BD is clearly on the opposite end of EC so it is not bisecting, as bisecting would be DE bisecting AC
AC has to be perpendicular to something to be a perpendicular bisector however it is a straight line.
Answer:
B
Step-by-step explanation:
Tashia paid two months rent and a $500 security deposit when she signed her lease. In total, she paid $2,400.
a) Write an equation to represent the scenario.
b) What is the cost of rent for one month?
Answers
The equation that represents the scenario is 2x + 500 = 2400
The cost of one month rent is $950
She paid two months rent and a $500 security deposit when she signed for a lease. In total she paid $2400.
let
the cost of a month rent = x
Therefore,
Total cost Equation2x + 500 = 2400The cost of the one month rent can be calculated as follows:
2x + 500 = 24002x = 2400 - 5002x = 1900x = 1900 / 2x = $950Therefore, the equation that represent the scenario and cost of one month rent are as follows;
2x + 500 = 2400cost of one month rent = $950learn more on equation here: https://brainly.com/question/8057577
10) y=x² - 6x +6; [0, 5]A) No absolute minima.No absolute maxima.B) Absolute minimum: (3,-3)Absolute maximum: (5, 1)C) Absolute minimum: (3, -3)Absolute maximum: (0, 6)D) Absolute minimum: (3, -3)No absolute maxima.
Answers
EXPLANATION
Given the function:
\(y=x^2-6x\text{ +6;\lbrack{}0,5\rbrack}\)We can see that it has an Absolute minimum in (3,-3) and No absolute maximum.
![10) y=x - 6x +6; [0, 5]A) No absolute minima.No absolute maxima.B) Absolute minimum: (3,-3)Absolute maximum:](https://i5t5.c14.e2-1.dev/h-images-qa/answers/attachments/aLcfnvpluwelwjMwmAnAzJdSN9LuKvNf.png)