Stem | Leaf
13 | 6
14 | 1, 1, 4, 6
15 | 3, 8
16 | 5, 8
17 | 2, 3, 6
18 | 0, 6, 7
19 |
20 | 5
21 | 1, 8
22 | 0, 2, 6, 8
1. Determine the median, mode and mean of the data. Round the mean to one decimal place if necessary.
Answers
Answer:
Median: \(\frac{173+176}{2}= 174.5\). Mode: \(141\). Mean: \(\approx179.8\)
Step-by-step explanation:
The median is the value separating the higher half from the lower half of a data sample. The sample size is 22; hence, the median the average between the 11th and 12th values, 173 and 176, respectively.
The mode is the value that appears most often in a set of data values. In this case, there is only one value that appeared twice in this data set, which is 141.
The mean, or average, is just the sum of the values divided by the sample size, N. \(\frac{x_1+x_2+x_3+...x_N}{N}\), so you add the values up and divide by 22.
Related Questions
Select the equivilent expression(4 ^ 3 / 5 to the negative power of two) ^ 5
Answers
A rule that we need to know in order to solve this is:
\((a^b)^c=a^{bc}\)The extended rule would be:
\((\frac{a^b}{c^d})^x=\frac{a^{bx}}{c^{dx}}\)Also, remember another rule:
\(\frac{1}{a^{-x}}=a^x\)Keeping all these rules in mind, we can simplify:
\((\frac{4^3}{5^{-2}})^5=\frac{4^{15}}{5^{-10}}=4^{15}\cdot5^{10}\)THis is the final form.
PLEASE HELP!! which number like represents the solution to the absolute value equation below? |-2x|=4
Answers
Answer:
It would be 2=4.
Answer:
Step-by-step explanation: x=-2,2
What is the sum of 2 / 10 + 6/100 not simplified
Answers
Answer: 26/100 OR 0.26 (I would put the answer as a fraction)
Step-by-step explanation:
We need both fractions to have the same denominator before we add them. The denominator of 6/100 is 100. The denominator of 2/10 is 10. We need to turn 10 into 100. To do that, we can do 10*10. This gives us 100. However what we do to the bottom must be done to the top therefore we have 20/100 + 6/100
Now the two fractions can be added together. 20/100 + 6/100 = 26/100.
Normally we would simplify this down to 13/50 but if you want it unsimplified 26/100 would be your answer.
What is the volume of the cone below
Answers
Answer:
12.57
Step-by-step explanation:
V=πr^2 h/3
=π×2^2×3/3
Answer:
\(12.57\ ft^3\)
Step-by-step explanation:
\(We\ are\ given,\\Radius\ of\ the\ base\ of\ the\ cone(r)=2\ feet\\Perpendicular\ height\ of\ the\ cone(h)=3\ feet\\Hence,\\We\ know\ that,\\Volume\ of\ a\ cone\ of\ perpendicular\ height\ h,\ and\ a\ base\ radius\ of\ r\ is:\\V=\frac{1}{3} \pi r^2h\\Here,\\Substituting\ r=2\ and\ h=3,\ we\ get:\\Volume\ of\ the\ given\ cone=\frac{1}{3}*\pi*(2)^2*3=\frac{\pi*4*3}{3}=\pi*4 \approx 12.57\ ft^3\)
Help help don’t understand thisssss
Answers
Answer:
91 degrees
Step-by-step explanation:
If m<ABD = 59 and m<DBC is 32, you can simply add these two numbers because they're just two sides of the same angle. So, 59+32=91.
A construction company takes 1 2/3 hours to remove 6 1/2 metric tons of dirt from a construction site. What is the unit rate in metric tons per hour? Write your answer as a fraction or a mixed number in simplest form.
Answers
Therefore , the solution to given problem of fraction comes out to be 5.2 metric tons per hour.
What exactly is a fraction?To represent a whole, divide it into any number of equally parts, or fractions. How many units of a particular size there are is expressed using fractions in standard English. 8, 3/4. Parts of a whole are included. Numbers in mathematics are stated as a ratio of such numerator to the denominator. These are each simple fractions that represent an integer. A fraction is contained in the fraction or population of a sophisticated fraction. When a fraction is true, its numerators are less than its denominators. An amount that makes up a fraction of a whole is called a fraction. You can assess the whole by dissecting it into smaller pieces. For instance, 12 is used to denote half of the a total number or item.
Here,
Given : Six and a half metric tons of soil are removed from a construction site by a construction company in one and a half hours.
Thus,
5/3 hours and 13/2 metric ton
So,
=> 13/2 / 5/4
=> 13/2 * 4/5
=> 52/10
=>5.2
Therefore , the solution to given problem of fraction comes out to be 5.2 metric tons per hour.
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Need help writing the paragraph proof based on information given
Answers
Solution:
Given:
\(\angle A\cong\angle BDA\)From the image,
\(\begin{gathered} \angle A=5x \\ \angle BDA=3x+30 \end{gathered}\)Paragraph proof:
\(\begin{gathered} Since\text{ it is given that }\angle A\cong\angle BDA,\text{ and }\angle A=5x,\angle BDA=3x+30,\text{ then:} \\ \begin{equation*} \angle A\cong\angle BDA \end{equation*} \\ 5x=3x+30 \\ 5x-3x=30 \\ 2x=30 \\ x=\frac{30}{2} \\ x=15 \end{gathered}\)Prove:
x = 15
Can you prove the triangles are congruent?
Answers
The triangles can be proven to be congruent. ΔADC ≅ ΔCBA based on the HL congruence theorem.
How to Prove that Two Triangles are Congruent by HL Congruence Theorem?The HL congruence theorem can be used to prove that two triangles are congruent if we can show that they are right triangles which have a pair of congruent hypotenuse and a pair of congruent legs.
Given the triangles in the image, ΔADC and ΔCBA, they have the following:
Both are right triangles because angles ADC and CBA are right angles.AC ≅ CA based on the reflexive property (congruent hypotenuses)DC ≅ AB because it is indicated they are congruent to each other [congruent legs].Therefore, both triangles are congruent by HL congruence theorem.
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Sue has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area of the polygon. Be sure to show all your work and explain your answer. Six-sided polygon that includes two isosceles right triangles, one with height and base of 25 feet, the other height and base of 8 feet, and one rectangle measuring 35 feet by 8 feet.
Answers
Answer:
Step-by-step explanation:
700.5
Find Gh if ABG ~ CDG, GH is an altitude of ABG, GI is an altitude of CDG, BG =5, DG= 10, and GI=7
Answers
Answer:
a. 3.5
Step-by-step explanation:
Since ∆ABG is similar to ∆CDG, therefore, their corresponding side lengths are proportional to each other.
Therefore:
DG/BG = GI/GH
10/5 = 7/GH (substitution)
Cross multiply
GH*10 = 7*5
GH*10 = 35
Divide both sides by 10
GH = 35/10
GH = 3.5
One cubic meter represents a cube shape that measures 1 meter in all three dimensions. how long is each side in centimeters?
Answers
Each side of cube is 100 cm.
What is a cube?In Maths or in Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges. It is also said to be a regular hexahedron.
Given that,
Volume of cube = 1 cubic meter
We know that,
1 m = 100 cm
Also volume of cube = \(a^{3}\)
Then,
Volume of cube = 1000000 cm
\(a^{3}\) = \(100^{3}\)
a = 100 cm
Hence, Each side of cube is 100 cm.
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A bag contains blue, red, and green marbles. Paola draws a marble from the bag, records its color, and puts the marble back into the bag. Then she repeats the process. The table shows her results of her experiment.
Based on the results, which is the best prediction of how many times paola will draw a blue or a red marble in 5,000 trials ?
A: about 1,400 times
B: about 3,000 times
C: about 4,400 times
D: about 3,600 times
Answers
Answer:
4,400
Step-by-step explanation:
Kevin needs to replace four rectangular
windows. Each window measures 2.75 ft
by 4 ft. Find the square feet of glass
that Kevin will need for the windows.
Answers
Find the distance between the two points in simplest radical form.
Answers
Answer:
5×sqrt(2)
Step-by-step explanation:
point 1 = (3,9)
point 2 = (9,5)
to calculate the distance we use Pythagoras based on the coordination differences in x- and y-direction as the sides of a triangle (the direct distance being the Hypotenuse of that triangle).
distance² = (x-difference)² + (y-difference)²
as all arguments are squared, we don't need to worry, if we need to calculate the difference from point 1 to 2 or from point 2 to 1. also negative numbers turn into positive distances.
d² = (xd)² + (yd)² = (9-3)² + (5-9)² = 6² + (-4)² = 36+16 = 50
=>
d = sqrt(50) = sqrt(25×2) = 5×sqrt(2)
If a negative relation exists between two variables, then low scores on one variable will be associated with _____ scores on the other variable.
Answers
If a negative relation exists between two variables, low scores on one variable will be associated with high scores on the other variable.
In a negative relationship between two variables, a decrease in one variable is accompanied by an increase in the other variable. This means that as scores on one variable decrease (i.e., low scores), the scores on the other variable tend to increase (i.e., high scores). The negative relationship implies an inverse pattern where the variables move in opposite directions.
The exact nature and strength of the negative relationship can vary, but the general trend is that low scores on one variable correspond to high scores on the other variable. This negative association provides insights into the behavior and interactions between the variables being examined.
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Which could be the area of one lateral face of the triangular prism? A triangular prism. The rectangular sides are 8 feet by 2. 5 feet, 8 feet by 6 feet, and 8 feet by 6. 5 feet. The triangular sides have a base of 2. 5 feet and height of 6 feet. [Not drawn to scale] 7. 5 ft2 15 ft2 20 ft2 39 ft2.
Answers
The area of one lateral face of the triangular prism could be 20 ft².
What is a prism?a prism is a polyhedron comprising an n-sided polygon base, a second base which is a translated copy of the first base, and n other faces, necessarily all parallelograms, joining corresponding sides of the two bases.
Since the base of the prism is triangular so there will be three lateral faces.
Dimensions of rectangular lateral faces are:
1)8 feet by 2.5 feet
2)8 feet by 6 feet
3) 8 feet by 6. 5 feet
Area of the lateral face with dimension 8 feet by 2.5 feet = 8*2.5 =20 ft²
Area of the lateral face with dimension 8 feet by 6 feet = 8*6 =48 ft²
Area of the lateral face with dimension 8 feet by 6.5 feet = 8*6.5 =51 ft²
Therefore, the area of one lateral face of the triangular prism could be 20 ft².
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What are the solutions to the equation (x+5)2=32 ?
Answers
Answer:
x = 11
Step-by-step explanation:
(x+5)2 = 32
2x + 10 = 32
2x = 32 - 10
2x = 22
x = 11
Answer:
x = - 5 ± 4\(\sqrt{2}\)
Step-by-step explanation:
Given
(x + 5)² = 32 ( take the square root of both sides )
x + 5 = ± \(\sqrt{32}\) = ± 4\(\sqrt{2}\) ( subtract 5 from both sides )
x = - 5 ± 4\(\sqrt{2}\) , then
x = - 5 - 4\(\sqrt{2}\) , x = - 5 + 4\(\sqrt{2}\)
Determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop.
Answers
The equation or system of equations that can be used to determine the number of cats and dogs Bea has in her pet shop is d = 2c - 5 d + 3 = c + 3. We can solve the system of equations using substitution and plug it back into either equation to find the value of d, which is 8 cats and 10 dogs.
How will we determine the number of cats and doge Beas initially had in her pet shop?The equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop is:
d = 2c - 5
d + 3 = c + 3
No, Bea's Pet Shop could not initially have 15 cats and 20 dogs. This is because the equation or system of equations states that the number of dogs is five less than twice the number of cats, which would mean that 15 cats would result in 25 dogs, which is not equal to 20.
To determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop, we can use the equation or system of equations that we previously created.
d = 2c - 5
d + 3 = c + 3
We can solve the system of equations using substitution:
d = 2c - 5
d + 3 = c + 3
d + 3 = c + 3
d = c + 3
2c - 5 = c + 3
2c = c + 8
c = 8
Once we determine the value of c, we can plug it back into either equation to find the value of d:
d = 2(8) - 5
d = 15 - 5
d = 10
Therefore, Bea initially had 8 cats and 10 dogs in her pet shop.
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The complete question is: At Bea's Pet Shop, the number of dogs, d, is initially five less than twice the number of cats, c. If she decides to add three more of each, the ratio of cats to dogs will be – Write an equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop. Could Bea's Pet Shop initially have 15 cats and 20 dogs? Explain your reasoning. Determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop.
Now you're going to imagine that you invested $1,000 in a company one year ago, and you want to see how well your investment would be doing today.
To begin, choose a company that you're familiar with and that seems as if it might be a good investment - that is, a company that you think will have rising stock prices. Think about companies that you use or know are popular Remember, not all companies are public companies. You'll need to check the New York Stock Exchange to find out if you can actually buy shares in this company Once you've settled on a company, find its stock price from one year ago and for today Write a journal entry about your imagined investment Answer the following questions as you write
1.) What stock did you buy?
2.) Why did you think buying this stock would be a good idea?
3.) How much would you have made or lost on an investment of $1,000?
(Hint First find out how many shares you could've bought one year ago by dividing $1,000 by the price of the stock one year ago today. You may have to estimate the stock price from the graph Round the number of shares to the nearest whole number. Then, find out the current value of your shares by multiplying the number of shares you bought by the price of the stock today Compare that to your initial investment of $1,000)
4.) Could you have made more money by selling sooner?
Answers
Answer:
Step-by-step explanation:
1. What stock did you buy?
Apple Inc.
2. Why did you think buying this stock would be a good idea?
Apple products are becoming more and more popular every day. The company is always introducing new and exciting devices. I knew it would be a safe choice to invest in.
3. How much would you have made or lost on an investment of $1,000?
I would have made $105.
Hint: First find out how many shares you could've bought one year ago by dividing $1,000 by the price of the stock one year ago today. You may have to estimate the stock price from the graph. Round the number of shares to the nearest whole number. Then, find out the current value of your shares by multiplying the number of shares you bought by the price of the stock today. Compare that to your initial investment of $1,000.
4. Could you have made more money by selling sooner?
Yes, on October 3, 2018 it was at its peak for the year.
your investment would be doing great today. you would make $115 from the given investment.
What are Stocks?A stock usually referred to as equity, is a type of investment that denotes ownership in a portion of the issuing company. Shares, also known as units of stock, entitle their owners to a share of the company's assets and income in proportion to the number of shares they possess.
Given, you're going to imagine that you invested $1,000 in a company one year ago
I will buy the stocks of amazon.The popularity of Amazon products is rising daily. The business frequently introduces cutting-edge technology. I was confident that it would be a secure investment.I would have made $115.Hint: To start, divide $1,000 by the stock's current price, one year ago, to see how many shares you might have purchased. It can be necessary to infer the stock price from the graph. The number of shares should be rounded up to the next whole number. Then, multiply the number of shares you purchased by the stock's current price to determine the share's current worth. Contrast that with your $1,000 original investment.on September 5, 2022, it was at its peak for the year.Therefore, Today, your investment would be flourishing. Your return on the stated investment would be $1,115.
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Dado la siguiente información de un triángulo, encuentre B,C y cB=_______. A = 36° , a = 8 , b = 5C=_______c=_______
Answers
Usa la ley de seno para hallar la medida del angulo B:
\(\frac{a}{\sin A}=\frac{b}{\sin B}\)\(\begin{gathered} \sin B(\frac{a}{\sin A})=b \\ \\ \sin B=b\cdot\frac{\sin A}{a} \\ \\ B=\sin ^{-1}(b\cdot\frac{\sin A}{a}) \\ \\ B=\sin ^{-1}(5\cdot\frac{\sin 36}{8}) \\ \\ B\approx21.55 \end{gathered}\)Como la suma de los angulos interiores de un triangulo siempre es 180°, usa la medida del angulo A y angulo B para hallar la medida del angulo C:
\(\begin{gathered} A+B+C=180 \\ C=180-A-B \\ C=180-36-21.55 \\ C=122.45 \end{gathered}\)Usa la ley de seno para hallar la medida del lado c:
\(\begin{gathered} \frac{c}{\sin C}=\frac{a}{\sin A} \\ \\ c=\frac{a}{\sin A}\cdot\sin C \\ \\ c=\frac{8}{\sin36}\cdot\sin 122.45 \\ \\ c\approx11.48 \end{gathered}\)Entonces, las medidas que tenias que hallar so;
B=21.55°
C=122.45°
c=11.48
determine the scale factor of the dilation of the triangles
Answers
Answer:
It’s 3 because 24 divide by 8 is 3
(*−3m^4)^2 = 9m^8−48m^4w+64w^2
Answers
Answer: what-
Step-by-step explanation:
De mayor a menor .4530 2.321 5/10 30/100 12/6 1.50 1/2 2.150 6.12 10/10
Answers
The given numbers in the descending order are:2.3216.121.501.5030/10012/62.15010/101/2.4530Therefore, arranging the given numbers in descending order, we get the above list of numbers from greatest to least.
The numbers are as follows, going down: 2.3216.121.501.5030/10012/62.15010/101/2.4530In order to obtain the a forementioned list of numbers from largest to least, we must arrange the supplied numbers in descending order. The correct order of the given numbers from greatest to least is .4530, 2.321, 6.12, 1.5, 1.5, 0.30, 1, 2.15, 1.2, 0.1.What does "mayor a menor" mean.The Spanish phrase "mayor a menor" translates to "from greatest to least" in English. It is utilized in mathematics to arrange numbers in descending order from greatest to least.
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What’s mean number basic statistics btw
Answers
Answer:
To find the mean, add up the values in the data set and then divide by the number of values that you added. To find the median, list the values of the data set in numerical order and identify which value appears in the middle of the list. To find the mode, identify which value in the data set occurs most often.
WILL GIVE BRAINLIEST!!!
What is the y=mx+b of the equation 5x−4y=12?
Answers
Answer:
y = 5/4x - 3
Step-by-step explanation:
The dot plots show the number of hours a lightbulb lasts from two different brands.
which of the following is correct?
Answers
Answer:
D
Step-by-step explanation:
because brand a is obvioulsy higher than brand b and if you look closely to the algorithms your answer should be D
find the surface area of a cylinder with a height of 9 inches and base radius of 4inches
Answers
Select Is a Function or is not a Function to correctly,classify each relation
Title
Is a Function
Is not a Function
{(3, 7),(3, 6), (5, 4),(4,7)}
{(1,5),(3,5),(4, 6),(6,4)}
{(2, 3),(4,2),(4, 6),(5, 8)}
{(0,4),(3, 2),(4, 2), (6,5)}
Answers
Answer:
1) not a function
2)function
3)not a function
4)function
Determine whether the triangle with given sides is right triangle or not
Answers
Answer:
the last one i believe
Step-by-step explanation:
sry if im wrong u_u
10 • 4/10y = -28 • 10
Answers
Answer:
y=-70
Step-by-step explanation:
10.4/10y=-28.10
4y=-280
y=-70