What is the five number summary for this data set 9,14,15,18,20,22,29,36,36,42,45,51
Answer:
Min = 0
Max = 51
M = 25.5
Q1 = 16.5
Q3 = 39
Hope this helps! <3
the owner of the store buys calculator for $12. If she marks the up by 30% at what price does she sell them?
Answer:
3.6=30% 3.6+12=15.6 $15.6
Step-by-step explanation:
I hope this helps! Have a fantastic fri-yay! May I have brainliest!
Type the missing number in this sequence: 3, 9, 27, 81, 243, ......
Answer:
the next number is 729
Step-by-step explanation:
Each number is multiplied by 3 to get the next number,
\(3*3=9\\9*3=27\\27*3=81\\81*3=243\\\)
so if we follow this pattern, the next number should be.....
\(243 *3= 729\)
Hope this helps! Brainliest would be much appreciated! Have a great day! :)
Which expression is equivalent to \(sin\frac{7\pi }{6}\)?
Check the picture below.
notice, the pairs in the Unit Circle are the (cosine , sine) pair, which are equivalent to (x , y) values in a cartesian plane.
Answer:
D on edg 2022
Step-by-step explanation:
What is the name of the polynomial based on its degree and number of terms?
8x²+2x¹−3
Given:
The given polynomial is:
\(8x^2+2x^1-3\)
To find:
The name of the polynomial based on its degree and number of terms.
Solution:
Consider the given polynomial:
\(8x^2+2x^1-3\)
Here the highest power of x is 2. It means the degree of the polynomial is 2.
We know that, the second degree polynomial is called quadratic polynomial.
The terms in the given polynomial are \(8x^2,2x^1,-3\). The number of terms in the given polynomial is 3.
We know that, the polynomial that contains three terms is called trinomial.
Therefore, the name of the polynomial based on its degree is quadratic polynomial and based on the number of terms is trinomial.
In robust optimization, a constraint that cannot be violated is known as a
a. optional constraint
b. soft constraint
c. hard constraint
In robust optimization, a constraint that cannot be violated is known as a hard constraint.
Hard constraints must be satisfied by any feasible solution to the optimization problem, while soft constraints are allowed to be violated, but at a cost. Optional constraints are constraints that can be included or excluded from the problem formulation depending on the specific needs of the application.
On the other hand, optional constraints or soft constraints are those that can be violated to some extent without significantly affecting the overall objective of the optimization problem. Soft constraints are used to express preferences or goals that are desirable but not strictly necessary for the problem to be solved.
for such more question on hard constraint
https://brainly.com/question/27371101
#SPJ11
Match the correct figure to each label.
CD with the points at the end (like a number line) with the numbers C, D go in the last box.
The ones in forms of angles with the letters C, T, M in the first one
The correct figure matched to each label is given below.
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
Given:
We have 5 diagrams.
The first diagram represents the segment CD.
The second diagram represents a ray CD.
The angle measure of CTM is represented by the third diagram.
The angle measure of TCM is represented by the fifth diagram.
And the free line from the both sides CD is given in the fourth diagram.
The matched images are given in the attached image.
∠CTM = Image 1 (attached)
CD = Image 2 (attached)
Therefore, the matched images are given above.
To learn more about the angle measure;
brainly.com/question/14684647
#SPJ2
Lee filled several jars with 1/4 cup of water in each jar .He used a total of 8 cups of water. Let j represent the number of jars that Lee filled. Write and Solve an equation to find out how many jars lee filled.
Answer: 32
Step-by-step explanation:
8x4 = 8 / 0.25
Use the drawing tool(s) to form the correct answer on the provided graph. Plot the axis of symmetry and the vertex for this function: h(x) = (x − 5)2 − 7.
There are 22 students in a homeroom. How many different ways can they be chosen
to be elected President, Vice President, and Treasurer?
Answer:
9240
Step-by-step explanation:
22
×
Vice President
21
×
Treasurer
20
Answer:
Step-by-step explanation:
9240
Describe how to round set to the best
HELP PLEASE QUICKLY
A scale model of a merry-go-round and the actual merry-go-round are similar. a. How many times greater is the base area of the actual merry-go-round than the base area of the scale model? Explain. The ratio of the corresponding lengths is : 1. So, the ratio of the areas is : 1 and the base area of the actual merry-go-round is times greater than the base area of the scale model. b. What is the base area of the actual merry-go-round in square feet? The base area of the actual merry-go-round is square feet.I'm not understanding how to get the base area of the actual merry-go-round
We have that the ratio for the length is 10/6 = 5/3.
Then we have that:
\(\frac{\pi\cdot R^2}{\pi\cdot r^2}=\frac{10^2}{6^2}=\frac{100}{36}=\frac{25}{9}\)Then,
\(\frac{BigArea}{450}=\frac{25}{9}\Rightarrow BigArea=\frac{25\cdot450}{9}\Rightarrow BigArea=1250ft^2\)The ratio of the lengths is 5/3 : 1
The ratio of the areas is 25/9 : 1
It took Corinne 3 hours to do 12 pages of homework. How many pages of homework did she do per hour?
Corinne do 4 pages homework in one hour.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
Corinne take 3 hours to do 12 pages of homework.
Since, We have;
Corinne take 3 hours to do 12 pages of homework.
Hence, In 1 hour, Number of pages = 12 / 3
= 4
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ2
Marisa recorded the number of hours she babysat each day last summer. She plotted the data in the box plot. A number line goes from 0 to 7. The whiskers range from 2 to 7, and the box ranges from 3. 5 to 7. A line divides the box at 4. Which statement must be true according to the box plot? The data is symmetric and shows that she was equally likely to work more than 3. 5 hours or less than 5 hours. The data is symmetric and shows that she never worked more than 5 hours. The data is skewed and shows that she was equally likely to work more than 3. 5 hours or less than 5 hours. The data is skewed and shows that she never worked more than 5 hours.
Box plot describes 5 important description of the data set it represents. The true statement according to the box plot specified is given by: Option C: The data is skewed and shows that she was equally likely to work more than 3. 5 hours or less than 5 hours.
How does a box plot shows the data points?A box plot has 5 data description.
The leftmost whisker shows the minimum value in the data.The rightmost whisker shows the maximum value in the data.The leftmost line in the box shows the first quartile.The middle line shows the median, also called second quartile.The last line of the box shows the third quartile.How to find the interquartile range?IQR(inter quartile range) is the dfference between third and first quartile.
What is the range of a data set?Range = Maximum value of the data set - Minimum value of the dataset
When is data symmetric for a given box plot?Data is symmetric if the median is in the mid of the box plot and the box is mid to the line connecting both whiskers(since in that case, the frequencies are more likely to be distributed symmetric to the middle).
For the given case, it is described that:
Whiskers range from 2 and 7 thus, minimum of data set = 2, maximum value = 7
and the box ranges from 3. 5 to 7 (so first quartile is 3.5, and third quartile is at 7)
The line dividing box is at 4, thus, median or second quartile is 4.
Average of box's limit is (3.5 + 7)/2 = 5.25
this is not coinciding with median, and actually lying ahead of median.
First quartile - min = 3.5-2 = 1.5Third quartile - max = 7 - 7 = 0That means data is leaning on right side(skewed negatively).
That means she worked more that median(the central measure here) thus, the data is skewed and shows that she was equally likely to work more than 3. 5 hours or less than 5 hours. (option C)
Learn more about box plot here:
https://brainly.com/question/1523909
While grocery shopping, you notice your favorite brand of soda has a big sticker, "Now 50% more than our 12oz!" How much soda is in the new bottle? Show all work.
Answer:
18 ounces
Step-by-step explanation:
Answer:
im not sure but maybe it should be 18 ounces
Solve by taking the square root of both sides: (x+3)^2 - 169 = 0
Answer:
x = 10 x = -16
Step-by-step explanation:
(x+3)^2 - 169 = 0
Add 169 to each side
(x+3)^2 - 169+169 = 0+169
(x+3)^2 =169
Take the square root of each side
sqrt((x+3)^2) =sqrt(169)
x+3 =±13
x+3 = 13 x+3 = -13
Subtract 3 from each side
x+3-3 = 13-3 x+3-3 = -13
x = 10 x = -16
the volume of a cylinder is given by the formula v=πr2h where r is the radius of the base and h is the height of the cylinder express r in terms of V and H
Pls answer quickly first one to answer correctly gets 100 pts
The cylinder express r in terms of V and H as:\(r = \sqrt{v/(\pi h)}\) in volume.
What is volume ?
Volume is the amount of space that an object or substance occupies in three-dimensional space. It is a physical quantity that is usually measured in cubic units, such as cubic meters or cubic feet.
For example, the volume of a rectangular box can be calculated by multiplying its length, width, and height. The volume of a sphere can be calculated using the formula \((4/3)\pi r^3\), where r is the radius of the sphere. The volume of a cylinder can be calculated using the formula \(\pi r^2h,\) where r is the radius of the circular base and h is the height of the cylinder.
According to the question:
To express r in terms of V and H, we can rearrange the formula for the volume of a cylinder as follows:
\(v = \pi r^2h\)
Dividing both sides by πh, we get:
\(r^2 = v/(\pi h)\)
Taking the square root of both sides, we get:
\(r = \sqrt{v/(\pi h)}\)
Therefore, r is expressed in terms of V and H as:
\(r = \sqrt{v/(\pi h)}\)
To know more about volume visit:
https://brainly.com/question/23477586
#SPJ1
Simplify.(6x−5+4x^2)+(2x−2)
=6x + −5 + 4 x 2 + 2x + −2
=(4 x 2) + (6x + 2x) + (−5 + −2)
=4 x 2 +8x + −7
Answer - 4 x 2 + 8x + −7
Answer:
(6x-5+4x2) + (2x-2)
Step-by-step explanation:
what google said
What is the solution?
Answer:
that
Step-by-step explanation:
that is the solution
Answer:
(1,-1)
Step-by-step explanation:
it's the point of intersection
hope this helps, pls mark brainliest :D
What is the table of the values
f(x)=(x+4)^2-5
The function is solved and the table of values is plotted
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = ( x + 4 )² - 5
Now , the table of values of inputs are
x = { -2 , -1 , 0 , 1 , 2 }
So , the output values are given by
when x = -2
y = ( -2 + 4 )² - 5
y = -1
Now , on further simplification , we get
y = { -1 , 4 , 11 , 20 , 31 }
Hence , the function is solved
To learn more about function rule click :
https://brainly.com/question/3760195
#SPJ1
Read the story.
fred collects bantam monster toys. the toys are sold individually in mystery bags. fred
noticed he gets his favorite toy, the green monster, about 25% of the time. he bought 2
mystery bags from the store today. how likely is it that at least 1 of the monsters in them
is green?
which simulation could be used to fairly represent the situation?
put 1 green block and 4 blue blocks in a bag. pick a block, then return it to
the bag, 2 times. each time a green block appears, it represents a green
monster toy.
create a deck of 25 cards, each labeled with a different number from 1 to 25.
pick a card, then return it to the deck, 2 times. each time a 25 appears, it
represents a green monster toy.
use a computer to randomly generate a pair of numbers from 1 to 4. each
time 4 appears, it represents a green monster toy.
The probability of at least one green monster toy in the two mystery bags is approximately 43.75%.
To determine the likelihood of at least one green monster toy in the two mystery bags, we can consider the complementary probability. The complementary probability is the probability of the opposite event, in this case, the probability of not getting any green monster toys in the two bags.
Given that Fred gets his favorite green monster toy about 25% of the time, the probability of not getting a green monster toy in one bag is 1 - 0.25 = 0.75. Since the bags are independent, the probability of not getting a green monster toy in both bags is 0.75 * 0.75 = 0.5625.
Now, we can find the probability of at least one green monster toy by subtracting the probability of not getting any green monster toys from 1:
Probability of at least one green monster toy = 1 - Probability of not getting any green monster toys
Probability of at least one green monster toy = 1 - 0.5625
Probability of at least one green monster toy ≈ 0.4375 (or 43.75%)
Therefore, it is likely that at least one of the monsters in the two bags is green with a probability of approximately 43.75%.
To fairly represent the situation, the most appropriate simulation would be to put 1 green block and 4 blue blocks in a bag, pick a block, and then return it to the bag, repeating this process two times. Each time a green block appears, it represents a green monster toy. This simulation mimics the probability setup, where the green block represents the green monster toy, and the process of picking and returning the block simulates the random nature of obtaining the toys. By running this simulation multiple times, we can observe the frequency of getting at least one green block and estimate the probability.
Learn more about probability here:
https://brainly.com/question/31828911
#SPJ11
Find the volume of the solid bounded by z=x2+y2+1 and z=2−x2−y2.
The volume of the solid bounded by the surfaces z=x^2+y^2+1 and z=2-x^2-y^2 is V = (16π)/3 units cubed.
To find the volume of the solid, we need to determine the region of intersection between the two surfaces. By setting the two equations equal to each other, we have:
x^2 + y^2 + 1 = 2 - x^2 - y^2
Simplifying this equation, we get:
2x^2 + 2y^2 = 1
Dividing both sides by 2, we have:
x^2 + y^2 = 1/2
This equation represents a circle in the xy-plane centered at the origin with a radius of √(1/2).
To find the volume, we integrate the difference between the two surfaces over the region enclosed by the circle. By evaluating this double integral, we get V = (16π)/3 units cubed.
Therefore, the volume of the solid bounded by the surfaces z=x^2+y^2+1 and z=2-x^2-y^2 is (16π)/3 units cubed.
Learn more about surfaces here:
https://brainly.com/question/32543816
#SPJ11
How do we find the "rate of change"
Answer: To find the average rate of change, divide the change in y-values by the change in x-values
Step-by-step explanation:
a data set consists of the data given below plus one more data point. when the additional point is included in the data set the sample mean of the resulting data set is 26.5. what is the value of the additional data point?23, 28, 20, 33, 42, 12, 19, 50, 36, 25, 19
The value of the additional data point is 36
To find the value of the additional data point, we can use the concept of the sample mean.
Given the data set: 23, 28, 20, 33, 42, 12, 19, 50, 36, 25, 19.
The sample mean of this data set is 26.5.
To find the value of the additional data point, we can use the formula for the sample mean:
(sample mean) = (sum of all data points) / (number of data points)
In this case, we have 11 data points in the original data set. Let's denote the value of the additional data point as x.
Therefore, we can set up the equation:
26.5 = (23 + 28 + 20 + 33 + 42 + 12 + 19 + 50 + 36 + 25 + 19 + x) / 12
Multiplying both sides of the equation by 12 to eliminate the fraction, we have:
318 = 282 + x
Subtracting 282 from both sides of the equation, we find:
x = 318 - 282
x = 36
Know more about sample mean here;
https://brainly.com/question/33323852
#SPJ11
.
Paul is running Tennis shop. He sells balls and rackets. Rackets (R) cost $1.20 each and Balls (B) cost $2:0 each. At the end of a month, Paul made a total of $70 and sold a total of 90 Rackets and Balls combined. Which system of equations represents this situation?
A. 2R + 1.20B = 90, B - R = 160.
B. 1.20R + 2B = 90, R - B = 90
C. 1.20R + 2B = 70, and R + B = 90
D. 1.20B + 2R = 90 and 2B + R = 70
The system of equations that represent the situation are 1.20R + 2B = 70, and R + B = 90.
What are the system of equations?
The system of equations are sets of equations that have to be solved simultaneously in order to determine their required values. They are often referred to as simultaneous equations.
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
A display case has room for 10 statues. Find the number of ways you can line up the statues if you have 5 statues
(Just and Example so it'll kinda explain it.)
Example A
How many ways can 5 students sit in a row?
Solution: If we consider the students sitting in one of five seats, then we have 5 students to choose from for the first seat, four remaining to choose from for the second seat and so on until all the seats are filled.
5–×4–×3–×2–×1–=120 So there are 120 ways to seat the students.
More Guidance
The way we just wrote out 5–×4–×3–×2–×1– can also be expressed as a factorial. A factorial is the product of a number with each number less than itself. We use the notation, 5!, which is read as “five factorial” to represent the expression 5–×4–×3–×2–×1–. It is important to note that 0!=1!=1. Students are often perplexed that both zero and one factorial are equal to one but think back to the context for illustration. If you want to arrange zero items, how many ways can you do it? If you want to arrange one item, how many ways can you do it? There is only one way to “arrange” zero or one item.
To evaluate a factorial on the TI-83 or 84 graphing calculator, type in the number, then press MATH→NUM, 4!. Press ENTER to evaluate.
Please help :< pleaseeee I will give brainliest
Answer:
n
Step-by-step explanation:
It is because 3n = 3 x n. If a number is in parentheses and there is no operation to the right, it means multiplication ALWAYS. So, 3n + 10 = 3 x n + 10
Area of triangle with height is on clear
The Area of triangle with the given height 10 cm and base 6 cm is calculated to be 30 square centimeters.
To calculate the area of a triangle with height 10 cm and base 6 cm, we can use the formula:
Area = (1/2) x Base x Height
Substituting the given values, we get:
Area = (1/2) x 6 cm x 10 cm
Area = 30 square cm
Therefore, the area of the triangle is 30 square centimeters.
We can see that the area of the triangle is calculated by multiplying the base and height and then dividing the result by 2. In this case, the height of the triangle is 10 cm and the base is 6 cm, so the area is 30 square cm. This formula can be used to calculate the area of any triangle, regardless of its size or shape.
Learn more about Triangles :
https://brainly.com/question/21036800
#SPJ4
The complete question is :
Calculate the Area of triangle with the height 10 cm and base 6 cm .
help me 2x-4y-3(7x-2y)
Let's simplify the above expression :
\(2x - 4y - 3(7x - 2y)\)\(2x - 4y - 21x + 6y\)\( - 19x + 2y\)If tangent of x degrees equals four-thirds, what is the value of b? triangle lmn in which angle m measures 90 degrees, angle l measures x degrees, lm measures 10. 5 units, and nm measures 2b units b = 4 b = 5 b = 6 b = 7.
If tangent of x degrees equals four-thirds, and measures of triangle is 10. 5 units, and NM measures 2b units then the value of b is equals to seven. So, last option is correct, b = 7 here.
Right angled triangle : A triangle is defined as a regular polygon, with three sides and the sum of any two sides is always greater than the third side. Right angled triangle is one type of triangle. When the angle between a pair of sides is equal to 90 degrees it is called a right-angle triangle. See in above figure ∆LMN is a right angled triangle with m∠LMN = 90° . Also, we have m∠MLN = x° so, m∠LNM = 180° - 90° - x° = 90° - x° ( Since, sum of interior angles of triangle = 180°)
Length of side LM = 10.5
length of side, NM = 2b
tangent of x, tan x = 4/3
We have to determine the value of b. For considering angle x° as centre point then
base of triangle = LM = 10.5
As we know Tangent of any angle is equals to ratio of perpendicular/base.
so, tan x = 4/3 = LM/NM
=> 4/3 = 2b / 10.5
=> 4× 10.5 = 2b × 3
=> b = 42.0/6
=> b = 7
So, the required value is 7.
To learn more about right angled triangle, refer:
https://brainly.com/question/64787
#SPJ4
yea seven is right. just finished