Answer:
Step-by-step explanation:
Find four consecutive integers such that the fourth integer minus twice the second
integer is the third integer decreased by 3.
In a survey conducted among the people, 200 like to eat green vegetables, 200 like fruits and 100 like both of them. Using Veen-Diagram, find the number of people who like at least one of them.
Answer:
300 people.
Step-by-step explanation:
The number of people who like at least one of them is 300 people.
What is a Venn Diagram?A Venn diagram is defined as a visual representation that makes use of circles to highlight the connections between different objects or limited groups of objects. Circles that overlap share certain characteristics, whereas circles that do not overlap do not.
Given data as :
In a survey conducted among the people
The number of people like to eat green vegetables = 200,
The number of people like fruits = 200 and
The number of people like both of them = 100
According to attached Venn-Diagram,
The number of people who like at least one of them = 100 + 100 + 100
The number of people who like at least one of them = 300
Hence, the number of people who like at least one of them is 300 people.
Learn more about Venn diagram here :
https://brainly.com/question/1605100
#SPJ2
I dont understand what postulate/theorem i need to use. can u help?
Answer:
I believe it is SAS
Step-by-step explanation:
You are unable to use AS S because donkeys do not belong in math
You are also unable to use AAA because triple A is good for your car, but not in math.
They give us an angle, so I am assuming it is ASA
Can someone please help me please I really need help please answer it correctly
Answer:
Princeton FloristLet the total charge is y, the number of small arrangements is x.
Total charge will be:
y = 13x + 47Chad's FlowersTotal charge will be:
y = 17x + 35Since the total charge is same in both shops, we have:
13x + 47 = 17x + 35Solve for x:
17x - 13x = 47 - 354x = 12x = 3Total cost is:
13*3 + 47 = 39 + 47 = 86Small arrangements = 3, cost = $86
Which equation best represents the linear function graphed below? CAN YOU BE REALLY QUICKLY THIS IS A MAJOR GRADE AND I ONLY HAVE 90 MINUTES
Answer:
y+1= 1/4(x-4)
Step-by-step explanation:
y+1 = 1/4(x-4)
y+1 = 1/4x-1
y = 1/4x -2 -which is the equation of the line
The diagram shows a convex polygon.
2w-350
2w-470
W-30
What is the value of w?
W=
Answer:
w = 89
Step-by-step explanation:
The three angles shown are all exterior angles. In any polygon, the sum of its exterior angles is equal to 360°.
Set up the equation:
(2w-35)+(2w-47)+(w-3)=360
Combine like terms:
5w - 85 = 360
Add 85 to both sides:
5w = 445
Divide both sides by 5:
w = 89 (ans)
Help me please please please please
The answer is 15% because I took this
Write the sentence as an equation.
253 equals the product of 232 and k
Type a slash ( / ) if you want to use a division sign.
The solution to a given word problem by writing it as an equation is k = 253/232
Expressing word problems in mathematical forms:The process of expressing word problems in mathematical forms takes a logical and chronological approach while taking the variables and arithmetic operations given into consideration.
From the given information, to express the word problem in mathematical form, we have:
253 = 232 × k253 = 232kMaking k the subject of the equation, we have:
k = 253/232
Learn more about expressing word problems here:
https://brainly.com/question/10556265
#SPJ1
x² + y² if x = 7 and y = 5. What is the solution to this??
Step-by-step explanation:
x = 7
y = 5
\( = {x}^{2} + {y}^{2} \)
\( = (7 {)}^{2} + (5 {)}^{2} \)
= 7 × 7 + 5 × 5
\( = 49 + 25 \)
\( = 74\)
Hey there!
x^2 + y^2
= 7^2 + 5^2
= 7 * 7 + 5 * 5
= 49 + 25
= 74
Therefore, your answer should be: 74
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
write an equation of the line?
slope=3; through (1,5)
plz and ty
Answer: y = 3x + 2
Step-by-step explanation:
we can start the equation as
y = 3x + b
To find b we plug in the points on the equation we already have
5 = 3(1) + b
5 = 3 + b
-3 -3
2 = b
Since b equals 2, the equation will be
y = 3x + 2
Answer:
y - 5 = 3 ( x - 1 ) or y = 3x + 2
Step-by-step explanation:
Design and Analysis of Algorithms Course Number: 1301310 Summer 2022 Assignment 2 Due date: Friday September 9, 2022 Points: 10 points Material: ch4 Student Name: Student Number: Please solve the following questions: Q1) what is mergesort? [4 points] Q2) Show all the steps of mergesort when executed on the following array [ 6 points] 10,4,1,5
Mergesort is a sorting algorithm that recursively divides the array into smaller subarrays, sorts them individually, and then merges them back together to obtain the final sorted array. The steps of mergesort on the array [10, 4, 1, 5] are: Divide - [10, 4], [1, 5]; Sort - [10], [4], [1], [5]; Merge - [4, 10], [1, 5]; Merge - [1, 4, 5, 10].
Mergesort is a sorting algorithm that follows the divide-and-conquer strategy. It works by recursively dividing the input array into smaller subarrays, sorting them individually, and then merging them back together to obtain the final sorted array. The key step in mergesort is the merging process, where two sorted subarrays are combined to create a single sorted array.
Step 1: Divide the array into smaller subarrays
Split the original array [10, 4, 1, 5] into two subarrays: [10, 4] and [1, 5].
Step 2: Recursively sort the subarrays
For the first subarray [10, 4]:
Divide it into [10] and [4].
Since both subarrays have only one element, they are considered sorted.
For the second subarray [1, 5]:
Divide it into [1] and [5].
Since both subarrays have only one element, they are considered sorted.
Step 3: Merge the sorted subarrays
Merge the first subarray [10] and the second subarray [4] into a single sorted subarray [4, 10].
Merge the first subarray [1] and the second subarray [5] into a single sorted subarray [1, 5].
Step 4: Merge the final two subarrays
Merge the subarray [4, 10] and the subarray [1, 5] into a single sorted array [1, 4, 5, 10].
The final sorted array is [1, 4, 5, 10].
To know more about Mergesort,
https://brainly.com/question/32929707
#SPJ11
The perimeter of a rectangle is 80 cm. If the length is 29 cm, how wide is the rectangle?
A) First write an equation you can use to answer this question. Use w as your variable in the equation.
The equation is
B) Solve your equation in part [A] to find the width of the rectangle.
Answer: The rectangle is
cm wide.
Step-by-step explanation:
A) The equation used to find perimeter is
2L+2W=P
B) Since we know the perimeter is 80 cm and the length is 29 cm, we can make the equation look like this
2(29)+2W=80
Now, we can just solve
58+2w=80
2w=22
w=11 cm
Step-by-step explanation:
1) P= 2(L + W) or 2L + 2W
2) Since the perimeter is given as 80 and the length is given as 29.
P = 2(L + W)
80 = 2( 29 + w)
80= 58 + 2w
collect like terms;
80-58=2w
2w= 22
Divide by what the co- efficient of w
w = 11cm
therefore width is equal to 11cm.
Hope it helps and also u understand :-):-).
pls mark me the brainliest
d1=3.5in;d2=18in.
what is the area of the rhombus
Answer:
Area = 31.5 squared inches
Step-by-step explanation:
I am assuming d1 and d2 diagnol lengths, so if that's true, then answer would A=(d1*d2)/2 (3.5*18)/2 = 63/2 = 31.5 squared inches
Which points are reflections of each other across both axes?
(–2, 8) and (2, –8)
(–7, –1) and (–7, 1)
(5, –6) and (–5, –6)
(4, –3) and (–3, 4)
Answer:
Hey there!
When reflecting across both axis, we switch up the signs but keep the order of the coordinates.
Thus, (-2, 8) and (2, -8) are reflections and (4, -3) and (-3, 4) are also reflections.
Let me know if this helps :)
The current population in Florida is 21, 780, 000. The area of Florida is 65, 758 square miles. Find the population density of Florida.
The required population density of Florida is approximately 331.2 people per square mile.
What is population density?Population density is defined as the number of individuals per unit area. In this case, we want to find the population density of Florida, which is the number of people per square mile. To do this, we can divide the total population of Florida by the total area of the state
According to question:We have;
Population = 21, 780, 000
Total area = 65, 758 square miles
Then,Population density is
Population density of Florida = Total population / Total area
Population density of Florida = 21,780,000 / 65,758
Population density of Florida ≈ 331.2 people per square mile
Therefore, the population density of Florida is approximately 331.2 people per square mile.
To know more about Miles visit:
brainly.com/question/23245414
#SPJ1
Jerarquía
de operaciones de números racionales (enteros, decimales y fraccionarios)
que son
Step-by-step explanation:
Los enteros son números enteros. Las fracciones son partes por elemento entero. Los decimales son fracciones expresadas en décimas.
if someone could help me with these it would be very appreciated
The answer to this Question after using different properties of angles is x = 14, 27,7,37
What are angles?
Angles are just a measure of how much a ray turned wrt to another ray that is kept stationary and this concept is used is mass varieties and applications
In Question 1
they have used concept of corresponding angles here
For 3rd part 4x - 23 = 2x + 5
2x - 28 = 0
2x = 28
x = 28/2
x = 14
hence x = 14 is answer for that part
In Question 2
1st Part by equating those 2 angles and these are corresponding angles
2x + 21 = 5x - 60
3x = 81
x = 81/3
x = 27
Hence x = 27
In Question 3 Here also they have used corresponding angles
1st part:
12x - 18 = 8x + 10
4x = 28
x = 28/4
x = 7
Hence x = 7
In last Question
a part
4x - 2 = 3x + 35
x =37
Hence value of x is 37 degree
To learn more about corresponding angles:
https://brainly.com/question/1597341
#SPJ1
3.a family is tracking its spending habits. over the past year, the grocery bill has ranged from $110 to $170. suppose you were going to plot these points on a coordinate grid. (a)what is a good scale to use for the y-axis? explain your reasoning. (b)what is a good interval to use for the y-axis? explain your reasoning.
The $10 scale is a good scale to use for the y-axis. 12 months is sufficient to plot the graph and display the changes.
What is a coordinate system?
coordinate system, Setup of reference lines or curves that are used to pinpoint the locations of points in space The most popular two-dimensional system is called Cartesian (after René Descartes). Points are identified by their separation from a reference point, known as the origin, along a horizontal (x) and vertical (y) axis (0, 0).
Let the y-axis represent the money for groceries and the x-axis the number of months.
Given is that, the grocery bills range from $110 to $170.
We can thus view the changes in the grocery bills over 7 intervals by placing a scale of $10 on the y-axis.
Consequently, a $10 scale is a good scale.
Additionally, the y-axis shows the number of months. It will be sufficient to plot the graph and display the changes in grocery bills over the course of 12 months.
Therefore, 12 points are enough to represent a month.
To know more about the coordinate system here:
https://brainly.com/question/4726772
#SPJ4
A set of bicycle prices are normally distributed with a mean of 300 dollars and a standard deviation of 50 dollars.
A sports bicycle has a price of 380 dollars.
What proportion of bicycle prices are lower than the price of the sports bicycle?
You may round your answer to four decimal places.
Answer:
0.9452
Step-by-step explanation:
Answer for Khan academy
The proportion of bicycle prices that are lower than the price of the sports bicycle is approximately 94.52%.
What is Z -score?A Z-score is defined as the fractional representation of data point to the mean using standard deviations.
We can start by standardizing the sports bicycle price using the formula:
z = (x - μ) / σ
where x is the sports bicycle price, μ is the mean, and σ is the standard deviation.
Substituting the values, we get:
z = (380 - 300) / 50 = 1.6
Now, we can use a standard normal distribution table or calculator to find the proportion of values below 1.6.
From the z-table, we find that this proportion is approximately 0.9452.
Therefore, the proportion of bicycle prices that are lower than the price of the sports bicycle is approximately 94.52%.
Learn more about the z-score here:
brainly.com/question/13793746
#SPJ2
PLEASE NEED HELP ASAP
need help on figuring out axis of symmetry
thank you so much!
Simplify the expression below by combining like terms: 4x + 6 - 2x = x + 3 + 10
Why is −318 a rational number? A. It is rational because all negative numbers are rational. B. It is rational because all integers are rational. C. It is rational because it can be expressed as a repeating decimal. D. It is rational because it can be expressed as a terminating decimal.
Answer:
The correct answer is the option B: It is rational because all integers are rational.
Step-by-step explanation:
To begin with, a rational number is the one that can be expressed as a fraction of two integers and that implicates all integers, both positives and negatives. Moreover, there are some rational numbers that can be expressed as well as a repeating number and others that can be expressed as a terminating number and all that will depend on the last number that the division will cause. So to sum up, -318 is a rational number because it is an integer and all of them can be divided and expressed as a fraction of two integers.
Akshat lost 72 baseball cards from his card collection He realizes he now has only 88% of his cards. How many cards did he have to begin with?
0.21212121... as a fraction
If x = 0.212121…, then 100x = 21.212121…, so we have
100x - x = 21.212121… - 0.212121…
99x = 21
x = 21/99 = 7/33
Find the volume of a sphere with a surface
area of 16 square feet. Round your answer
to the nearest hundredth.
The volume is about
cubic feet.
The approximate volume of the sphere is 6.01 ft³.
What is the volume of the sphere?A sphere is simply a three-dimensional geometric object that is perfectly symmetrical in all directions.
The volume of a sphere is expressed as:
Volume = (4/3)πr³
Where r is the radius of the sphere and π is the mathematical constant pi (approximately equal to 3.14).
Given that the surface area of the sphere is 16 square feet.
First, we determine the radius r:
Surface area = 4πr²
Hence
16 = 4πr²
Dividing both sides by 4π, we get:
r² = 16/4πr
r = √( 16/4πr )
r = 1.128 ft
Plugging in the value of r that we just found, we get:
Volume = (4/3)πr³
Volume = (4/3) × 3.14 × (1.128 ft)³
Volume = 6.01 ft³
Therefore, teh volume is 6.01 ft³.
Learn about volume of hemisphere here: brainly.com/question/22886594
#SPJ1
Proving the sum of the interior angle measures of a triangle is 180. assemble the proof by dragging help now!!! please
To prove that the sum of the interior angle measures of a triangle is 180 degrees, we can use the concept of parallel lines and transversals.
Consider a triangle ABC and draw a line parallel to one of its sides, intersecting the other two sides at points D and E.
Since AB is parallel to DE, we can observe that the alternate interior angles ∠ABC and ∠AED are congruent, as well as the corresponding angles ∠ACB and ∠ADE.
By applying the angle sum property, we know that the sum of the interior angles of a triangle is equal to 180 degrees. We can conclude that ∠ABC + ∠ACB + ∠BAC = ∠AED + ∠ADE + ∠DAE = 180 degrees.
Learn more about Transversals
brainly.com/question/33245447
#SPJ11
6.3.24 (b) if t1 and t2 are also independent, e.g., determined from independent samples, then calculate varθ (αt1 (1 − α)t2) in terms of varθ (t1) and varθ (t2).
if T1 and T2 are unbiased estimators of μ(0) and independent of each other, the variance of the estimator aT1 + (1-α)T2 can be expressed as \(a^2 Var(T1) + (1-\alpha )^2 Var(T2)\).
Let's calculate the variance of the estimator aT1 + (1-α)T2, where T1 and T2 are unbiased estimators of μ(0) in R, and α is a constant.
First, we know that the variance of a linear combination of random variables can be expressed as follows:
\(Var(aT1 + (1-\alpha )T2) \\= a^2 Var(T1) + (1-\alpha )^2 Var(T2) + 2a(1-\alpha ) Cov(T1, T2)\),
where Var(T1) and Var(T2) represent the variances of T1 and T2, respectively, and Cov(T1, T2) represents their covariance.
Since T1 and T2 are unbiased estimators, we have E(T1) = E(T2) = μ(0). Therefore, Cov(T1, T2) = E(T1T2) - E(T1)E(T2) = μ(0) - μ(0) = 0, as the estimators are independent.
Substituting the values into the variance formula, we get:
Var(aT1 + (1-α)T2) =
\(\\a^2 Var(T1) + (1-\alpha )^2 Var(T2) + 2a(1-\alpha ) Cov(T1, T2)\)
\(= a^2 Var(T1) + (1-\alpha )^2 Var(T2).\)
Therefore, if T1 and T2 are unbiased estimators of μ(0) and independent of each other, the variance of the estimator aT1 + (1-α)T2 can be expressed as \(a^2 Var(T1) + (1-\alpha )^2 Var(T2)\).
To learn more about variance from the given link
https://brainly.com/question/9304306
#SPJ4
Plssssss help!!
— 6х – у = -27
18х + Зу = 81
Solve the system of equations
If you respond with a link ima eat your cat
Answer:
Explanation in link:
The equation has a infinite number of solutions.
Step-by-step explanation:
-6x - y = -27
18x + 3y = 81
-6x - y = 27
+6x —-+6x
-Y = 27 + 6x
Then, divide both sides by negative one to get rid of that negative y:
Y = -6x + 27
Now replace the Ys in the other equation with -6x + 27.
18x + 3(-6x + 27) = 81.
Do distribute property
18x + -18x + 81 = 81
The 18x and -18x cancel each other out.
81 = 81.
Select all of the following true statements if r=real numbers, n= natural numbers, and w={0, 1, 2,...}.
Answer:
Step-by-step explanation:
choices:
W c Z
R c W
0 E Z
∅ c R
{0, 1, 2, ...} c_ W
-2 E W
the speed of cars on a stretch of road is normally distributed with an average 51 miles per hour with a standard deviation of 5.9 miles per hour. what is the probability that a randomly selected car is violating the speed limit of 50 miles per hour?
The probability that a randomly selected car is violating the speed limit of 50 miles per hour is 0.43.
To find the probability that a randomly selected car is violating the speed limit of 50 miles per hour, we need to find the probability that the speed of the car is greater than 50 miles per hour. Since the speed of cars on the road is normally distributed with an average of 51 miles per hour and a standard deviation of 5.9 miles per hour, we can use the standard normal distribution table to find the probability.
First, we need to convert the speed limit of 50 miles per hour to a z-score. This is done by using the formula:
z = (x - μ) / σ
where x is the observed value, μ is the mean, and σ is the standard deviation.
z = (50 - 51) / 5.9
z = -0.169
To find the probability of a car going faster than 50 mph, we need to find the probability that z is greater than -0.168. This probability can be found using a standard normal distribution table. The probability that a car goes over 50 mph is around 0.432945.
So the probability that a randomly selected car is violating the speed limit of 50 miles per hour is 0.43.
Learn more about probability here: https://brainly.com/question/24756209
#SPJ4