The range is 5 years.The median is 18 years.
To determine the range and median from the given dot plot of ages, we need to analyze the distribution of the data points.
The range represents the difference between the maximum and minimum values in a dataset. Looking at the dot plot, the minimum age appears to be 16, while the maximum age is 21. Therefore, the range can be calculated as:
Range = Maximum age - Minimum age = 21 - 16 = 5 years.
Thus, the range of the ages of employees at the summer camp is 5 years.
The median represents the middle value in a dataset when it is arranged in ascending or descending order. To determine the median, we need to organize the ages in order from least to greatest:
16, 17, 18, 19, 20, 21
Since there are six data points, the median would be the value in the middle. In this case, the median would be the third value, which is 18.
Therefore, the median of the ages of employees at the summer camp is 18 years.
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19. Randomly assigning the _____ units across the treatment groups is called randomization.
A partial
B experimental
C whole
D population
The correct answer is A) partial.
Randomization is the process of randomly assigning the study participants or experimental units to the different treatment groups.
This helps to ensure that any differences observed between the groups are due to the treatment and not some other extraneous factor. Partial randomization refers to the random assignment of a subset of units to the treatment groups, while other units may be assigned in a non-randomized manner, such as based on convenience or some other criteria. Experimental, whole, and population randomization are not commonly used terms in research methodology.
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A rectangular prism with a 8-centimeter length, a 4-centimeter width,
and a 5-centimeter height is placed on a rectangular prism with a 14-
centimeter length, a 8-centimeter width, and a 1-centimeter height.
6 cm
4 cm
5 cm
14 cm
1 cm
8 cm
What is the volume of the composite solid?
The volume is cubic centimeters.
what is greater -19/2 or -1.2
Answer:
-1.2 is greater than -19/2.
Za kingdom charges according to this table. how much does Za Kingdom charge for each pizza
The amount that Za Kingdom charges for each pizza is $8.
How to determine the amount charged by Za kingdomTo determine the amount charged by Za Kingdom, we first note that the cost of each pizza plus the delivery fee is $21.
Assuming the basic price to be $8 and the delivery fee of $13, we have the sum of $21. So, for 3 pizzas, we will have 8 times 3 = 24 + 13 = 37
Also, the amount for 10 pizzas will be 8 times 10 = 80 + 13 = 93. So, the price of each pizza is $8.
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Brainliest for the correct answer who put in the answer first. please help me.
Answer: {m∠HLI = m∠ILM}
Examining the figure the option that must be true is
D. m< HLI = m< ILM
How to get the correct optionThe knowledge of angle on a straight line which is 180 degrees is used here,
Using the given angles and the concept of adjacent angles we have that
angle GLH = 150 - 60 = 60
Using angles on a straight line being 180 degrees we have that
angle ILJ = 180 - 60 - 60 - 30 - 15 = 15 degrees
Using adjacent angles
angle ILM = 15 + 15 = 30 degrees
hence we can say that m< HLI = m< ILM
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QUESTION 3
Elvis Louw has organized a hall for Mother's day celebration. He invited 150 guests and 2 motivational
3.2
Table
1,8 m
Walking space
Chair 45 cm
Chair 45 cm
NOTE:
Dimensions of the hall: 23 m x 18 m.
The venue includes round tables with a diameter of 1,8 m that can each seat 10 persons.
Use the information above to answer the questions that follow.
3.1
Define the term "Diameter" according to the given context.
Elvis Louw calculated that they need 9 m² per round table. He claims that 30 of the
(2)
(5)
round tables will fit into the space.
Verify Elvis Louw's claim that 30 tables will fit into the space.
You may use the following formula: Area of a rectangle length x breadth
3.3 Calculate the amount of walking space between two tables at the point where they are (5)
the closest, if the space allowed per chair is 45 cm.
(12)
The amount of walking space between two tables at the point where they are the closest is 0.9 m.
We are given that;
The space allowed per chair = 45 cm.
Number of tables=30
Now,
we find the length of a side of a square that contains a table by adding twice the radius of a table to twice the space allowed per chair. The formula is: side length=2×radius+2×space per chair
Plug in the given values and simplify. The calculation is: side length=2×0.9+2×0.45=2.7
Now subtract the diameter of a table from the side length to get the walking space between two tables. The formula is: walking space=side length−diameter
Plug in the given values and simplify. The calculation is: walking space=2.7−1.8=0.9
To express our answer in meters. walking space=0.9 m
Therefore, by the algebra the answer will be 0.9 m.
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Fred has a great idea for a new product. However, he can only invest $11,919 to start up the company. He asks a three other
individuals to invest in his company. The other three investors bring the total investment to start the company to $285,763.
What percent of the company does the three other individuals own? Round your answer to the nearest tenth of a percent.
Answer:
He owns about 4.17% or 4% so the others own about 95.83% or 96% but sense it rounds to the nearest tenth your answer would be 95.8%
Step-by-step explanation:
You can figure this out by doing 11,919 divided by 285,763 in order to figure out the percentage of the company he owns and then just do 100 - your answer.
Step-by-step explanation:
First, we need to find out how much money the three other individuals invested in the company. To do that, we'll subtract Fred's investment from the total investment:
Total investment = 285,763
Fred's investment = 11,919
Investment from the three other individuals = Total investment – Fred's investment
Investment from the three other individuals = 285,763 – 11,919
Investment from the three other individuals = 273,844
Now, to calculate the percentage of ownership for the three individuals, we'll divide their combined investment by the total investment and multiply by 100:
Percentage of ownership = (Investment from the three other individuals / Total investment) * 100
Percentage of ownership = (273,844 / 285,763) * 100
Percentage of ownership ≈ 95.8%
So, the three other individuals own approximately 95.8% of the company. Since the question asks to round to the nearest tenth, the answer is 95.8%.
THe blanks for 1 Pt 2 are both , Mean, Median, mode, standard devidation, range.
The Mean = 9.778
The Median = 9
The Mode = 5 and 10
The Standard deviation = 6.21
The Range = 22
What are the Mean, Median, Mode, Standard Deviation and Range?Mean:
To get, we will sum up all the values and divide by the total number of values.
Mean - Ef/n
Mean = (4 + 5 + 5 + 8 + 9 + 10 + 10 + 11 + 26) / 9
Mean = 88 / 9
Mean = 9.778
Median:
This means middle value of a dataset when arranged in ascending order. If there are two middle values, median is average of the two.
Arranging dataset in ascending order: 4, 5, 5, 8, 9, 10, 10, 11, 26. The Median is 9.
Mode:
The mode is the value that occur(s) most frequently in the dataset. In this dataset, the mode is 5 and 10 as both occur twice.
Standard Deviation:
Variance = [[tex](4 - 9.778)^2 + (5 - 9.778)^2 + (5 - 9.778)^2 + (8 - 9.778)^2 + (9 - 9.778)^2 + (10 - 9.778)^2 + (10 - 9.778)^2 + (11 - 9.778)^2 + (26 - 9.778)^2] / 9[/tex]
Variance = 38.617284
Variance = 38.62
Standard Deviation = √Variance
Standard Deviation = √38.62
Standard Deviation = 6.21449917532
Standard Deviation = 6.21
Range:
The range is difference between maximum and minimum values
Range = 26 - 4
Range = 22
b. The outline for the data set is as follows:
Minimum value: 4First quartile (Q1): 5Median: 9Third quartile (Q3): 10Maximum value: 26Read more about centre of measures
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Can someone please help me with this
[tex]\sqrt{252} ~~ \begin{cases} 252=&2\cdot 2\cdot 3\cdot 3\cdot 7\\ &2^2\cdot 3^2\cdot 7\\ &(2\cdot 3)^2\cdot 7\\ &6^2\cdot 7 \end{cases}\implies \sqrt{6^2\cdot 7}\implies 6\sqrt{7}[/tex]
HELP WILL GIVE BRAINLESS IF U ANSWER THIS ONE'S AND THE OTHER ONES
Answer:
c. 3 ft by 4 ft by 5 ft
Step-by-step explanation:
You want to know which sets of measurements can form a triangle.
Triangle inequalityThe triangle inequality requires ...
a + b > c
for any assignment of a, b, c to side lengths. If 'a' and 'b' are the two shortest sides, satisfying this inequality will also satisfy any other arrangement.
Choicesa. 3 + 4 > 9 . . . . falseb. 5 + 5 > 10 . . . . falsec. 3 + 4 > 5 . . . . TRUEd. 9 + 11 > 20 . . . . falseOnly the side lengths 3 ft, 4 ft, 5 ft will form a triangle.
__
Additional comment
As we said the other arrangements of the triangle inequality are also satisfied for these numbers:
4 + 5 > 3
3 + 5 > 4
The garden with side lengths 3, 4, 5 will have the shape of a right triangle.
Convert 1110100 base 2 to base 10
Step by step explanation
Pls help!!!!!!!!!!!!!!!!
The radical expression [tex]\sqrt[4]{x^5}[/tex] written as an expression with a rational exponent include the following: A. [tex]\sqrt{x^{\frac{5}{4} }}[/tex]
What is an exponent?In Mathematics, an exponent is a mathematical operation that is commonly used in conjunction with an algebraic equation or expression, in order to raise a given quantity to the power of another.
Mathematically, an exponent can be represented or modeled by this mathematical expression;
bⁿ
Where:
the variables b and n are numbers (numerical values), letters, or an algebraic expression.n is known as a superscript or power.By applying the law of exponents for powers to the given radical expression [tex]\sqrt[4]{x^5}[/tex], we would have the following simplified expression:
[tex]\sqrt[4]{x^5}=\sqrt{x^{5 \times \frac{1}{4}}}\\\\\sqrt{x^{5 \times \frac{1}{4} }}}=\sqrt{x^{\frac{5}{4} }}}[/tex]
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plss help me for brainleist
[tex]\large \maltese \:{ \underline { \underline{ \pmb{ \sf{SolutioN }}}}} : -[/tex]
we have given ,
∠ A = 60°∠ B = 60°∠ C = ?? ( to be calculated)★ According to Angle sum property of triangle, the sum of interior angles of a triangle is 180°.
➝ ∠ A + ∠ B + ∠ C = 180°
➝ 60° + 60° + ∠ C = 180°
➝ 120° + ∠ C = 180°
➝ ∠ C = 180° - 120°
➝ ∠ C = 60°
Now,
★ Calculating for x :-
↝ ∠ C + x = 180°
↝ 60° + x = 180°
↝ x = 180° - 60°
↝ x = 120°
Hence, The value of x will be 120°.
Answer:
The major of the exterior angle is 120°
Step-by-step explanation:
In given triangle we have to find the value of exterior angle and in interior of the triangle there are two angles 60 degree and second one is also 60 degree and we have to find value of exterior angle which is x.
So, here we apply exterior angle property which is exterior angle is equal to the sum of the two interior opposite angles. Here, there are two opposite interior angles so we have to add these two and we get the value of exterior angle.
Exterior angle property :-
[tex] \implies \sf \angle60 \degree + \angle60 \degree[/tex]
[tex] \implies\angle120 \degree[/tex]
Additional information :-Some important properties :-
Exterior angle property :- An exterior angle of a triangle is equal to the sum of its interior opposite angles.
Angle sum property :- The total measure of the three angles of a triangle is 180°
1,3,5,7,9…. What is the next number
Answer: 11
Step-by-step explanation:
this is a sequence of odd numbers.
it goes;
1,3,5,7,9,11,13,15,17,19,21,23....
You got a new TV. The dimensions of the TV are 48 inches by 27 inches. What is the size of
the TV?
|7+(-12)|+|-16| add this together
Answer: 21
Step-by-step explanation:Given:
|7 + (-12)| + |-16|
Absolute value of -16:
|7 + (-12)| + 16
Addition times subtraction is subtraction:
|7 - 12| + 16
Subtract:
|-5| + 16
Absolute value of -5:
5 + 16
Add:
21
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
You pick a card at random. Without putting the first card back, you pick a second card at random.
3
4
5
6
What is the probability of picking an odd number and then picking an odd number?
Write your answer as a fraction or whole number.
The probability of picking an odd number and then picking an odd number when two cards are drawn without replacement from a set of four cards labeled 3, 4, 5 and 6 is 1/6 or approximately 1667/10000 .
The probability of picking an odd number and then picking an odd number when two cards are drawn without replacement from a set of four cards labeled 3, 4, 5 and 6 can be found by using conditional probability.
The probability of the first card being odd is 2/4 (since there are two odd numbers out of four cards). If the first card was odd and not replaced, the number of cards remaining is three, with only one odd card. Therefore, the probability of picking an odd number again is 1/3.
So, the probability of picking an odd number and then picking an odd number is the product of the probabilities of picking an odd number in the first draw and picking an odd number in the second draw, given that the first draw resulted in an odd number.
P(Odd, Odd) = P(Odd on the first draw) * P(Odd on the second draw given that the first draw was odd)
P(Odd, Odd) = (2/4) * (1/3)
P(Odd, Odd) = 2/12
P(Odd, Odd) = 1/6 or approximately 0.1667
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1. Define the term "green party." Conduct research and find one green party. Briefly discuss the party that you found in your research.
2. Conduct an internet search on the National Environmental Education Act on this site: https://www.epa.gov/education. Read through the site. visit all the links. Write a few paragraphs about information you learn from these sections.
3. How do some conditions of urban areas affect the species that live in the area? Give one example.
4. How do societal attitudes of developed countries differ from those of undeveloped countries?
5. How do the global aspect of environmental issues positively or negatively impact local environmental issues?
Also why do all of my question end up getting banned i'm so confused how am i violating any rules??
1. Green Party: Political party prioritizing environmental issues, sustainability, and social justice.
2. The National Environmental Education Act promotes environmental education and awareness.
3. Urban conditions impact species by habitat loss and fragmentation.
4. Developed countries prioritize environmental conservation; undeveloped countries focus on development.
1. A green party is a political party that prioritizes environmental issues, sustainability, and social justice. One example of a green party is the Green Party of Germany (Bündnis 90/Die Grünen).
Founded in 1980, they advocate for renewable energy, climate protection, social equality, and grassroots democracy.
They have been part of coalition governments in Germany and have influenced national and European environmental policies.
2. The National Environmental Education Act is a United States federal law that was enacted in 1990 to promote environmental education and awareness among students and the general public.
The Act established the Office of Environmental Education within the Environmental Protection Agency (EPA) to provide funding for environmental education programs and to develop and disseminate environmental education materials.
3. Urban areas can have various negative impacts on species that live in the area. One example is the loss of natural habitat due to urban development.
When forests or wetlands are cleared to make way for buildings or roads, it disrupts the habitat of many species, leading to population declines and biodiversity loss.
4. Societal attitudes in developed countries often prioritize environmental conservation, sustainability, and environmental regulations.
There is generally greater awareness and concern for issues such as climate change, pollution, and resource depletion. In contrast, societal attitudes in undeveloped countries may vary, with more immediate concerns such as poverty and economic development taking precedence over environmental concerns.
5. The global aspect of environmental issues can have both positive and negative impacts on local environmental issues. Positively, global awareness and collaboration can lead to knowledge sharing, resources, and support for local initiatives.
Negatively, global demands and policies may prioritize economic growth, leading to environmental degradation and challenges for local communities.
Regarding the issue with banned questions, I apologize for any inconvenience caused.
The moderation system is in place to ensure compliance with community guidelines and prevent misuse of the platform. It's possible that certain questions may trigger filters due to sensitive topics, inappropriate content, or excessive repetition.
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A dairy needs 372 gallons of milk containing 6% butterfat. How many gallons each of milk containing 7% butterfat and milk containing 3% butterfat must be used to obtain the desired 372 gallons?
What is a the center and radius
Give the coordinates of the point in the graph below.
-5
A
32
-3 -2
-1
-4
-3-
2-
0
-1-
--2-
-3-
-4
-5
-N-
2
3
4
5.
The coordinates of the point in the graph is (3, 2)
How to determine the coordinates of the point in the graphFrom the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have the following
The point is 3 units to the right of the x-axisThe point is 2 units above the y-axisRepresent the point with x
So, we have
X = (3, 2)
Hence, the coordinates of the point in the graph is (3, 2)
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Find the measure of the arc or angle indicated.
The measure of angle m∠XKZ is 218°.
What is an angle?An angle is formed when two straight lines or rays meet at a common endpoint.
The six types of angles are,
Acute Angles.Obtuse Angles.Right Angles.Straight Angles.Reflex Angles.Full Rotation.To find the measure of angle m∠XKZ, we use the formula below
Formula:
m∠XKZ+m∠XYZ = 180 (Opposite angles of a cyclic quadrilateral are supplementery)From the question,
Given:
m∠XKZ = 6x-7m∠XYZ = 7x-8Substitute these values into equation 1 and solve for x
(6x-7)+(7x-8) = 180°13x-15 = 180°13x = 180+1513x = 193x = 195/13x = 15Hence, m∠XKZ = [(15×15)-7] = 218°
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5C1 evaluate need quick
The combination is evaluated to give 20
How to evaluate the combinationFrom the information given, we have the expression as;
⁵C₁
The formula for calculating combination is expressed as;
ⁿCᵣ = n! / (r!(n-r)!)
Such that the parameters of the formula are expressed as;
n = 5 r = 1Now, substitute the values into the formula, we have;
⁵C₁ = 5! / (1!(5-1)!)
= 5! / (1! × 4!)
Find the permutation, we have;
= (5 × 4 × 3 ×2 × 1) / (1 × (4 × 3 × 2 × 1))
Divide the values, we get;
= 20 / 1
Find the value
= 20
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Hannah has two ribbons. One is 1 3/4 feet. The second ribbon is 3 feet long . How many inches of ribbon does Hannah have
The length of ribbon that Hannah has is 57 inches.
What is the length of the ribbon?The length of the ribbon that Hannah has can be determined by adding the length of each ribbon together. Addition is the process of determining the sum of two or more numbers.
Before the addition can be done, feet has to be converted to inches.
1 foot = 12 inches
1 3/4 x 12
= 7/4 x 12 = 21 inches
3 x 12 = 36 inches
Total length of the ribbons = 21 + 36 =57 inches
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if 12 people get a collective number of 775 questions in a 7 day period how man questions are being asked in a day
The number of questions asked in a day is A = 110
Given data ,
To determine the number of questions being asked in a day, we need to divide the total number of questions by the number of days.
Now , 12 people are collectively asking 775 questions in a 7-day period.
So , the number of questions being asked in a day, we divide 775 by 7
A = 775 / 7
On simplifying the equation , we get
A ≈ 110.71
Hence , 110.71 questions are being asked in a day
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I need help with part C. Statistics-based.
10.8
.......................................
The table shows the median annual salaries for two different jobs. Median Annual Salaries Job Marketing Manager Financial Analyst Median Annual Salary (dollars) 115,750 76,950 Based on the information in the table, how much more money would a marketing manager earn than a financial analyst over 10 years.
F $38,800
G $1,927,000
H $388,000
J $192,700
pls help!
The amount that Marketing Manager earn more than a Financial Analyst over 10 years is $388,000. The Option H.
How much more will Marketing earn than Financial Analyst?To get how much more a Marketing Manager will earn than a Financial Analyst, we have to calculate the difference in their median annual salaries and multiply by 10.
The difference in median annual salaries is:
= $115,750 - $76,950
= $38,800
The amount earned more by a Marketing Manager over 10 years is:
= $38,800 x 10
= $388,000.
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HELP PLEASE URGENT!!!!
The difference between the interquartile range of Matt's remaining vacation days an Linda's remaining vacation days is given as follows:
-3.5.
How to obtain the interquartile range?The interquartile range of a data-set is given by the difference of the third quartile by the first quartile of the data-set.
Matt's ordered data-set is given as follows:
5, 9, 11, 12.
Hence the quartiles are:
Q3 = 11.5 -> Mean of the last two elements.Q1 = 7 -> Mean of the first two elements.Hence the IQR is of:
IQR = 11.5 - 7 = 4.5.
Linda's ordered data-set is given as follows:
0, 6, 9, 13.
The quartiles aret
Q3 = 11.Q1 = 3.The IQR is of:
IQR = 11 - 3 = 8.
Hence the difference is of:
4.5 - 8 = -3.5.
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Pls help me with this im struggling
RQT = 159
RQS = 69
==============================================
Explanation:
Draw a segment connecting R and S.
Triangle SRQ is a right triangle due to Thale's Theorem. That theorem is a special case of the inscribed angle theorem. The 90 degree angle R is opposite the diameter SQ.
Minor arc QR = 42 degrees. Half of this is 42/2 = 21, which is the measure of inscribed angle RSQ. This inscribed angle subtends minor arc QR.
Focus on triangle SRQ. We have two known angles (R = 90 and S = 21). Let's use them to find the missing angle.
The inside angles of any triangle always add to 180 degrees.
S+R+Q = 180
21+90+Q = 180
111+Q = 180
Q = 180-111
Q = 69
Angle RQS is 69 degrees.
----------------
We'll add angle SQT onto the previous result to get angle RQT.
angle RQT = (angle RQS) + (angle RQT)
angle RQT = (69) + (90)
angle RQT = 159 degrees
A circle has a radius of 30 cm and a central angle that measures 312 degrees. Find the length of the arc defined by this central angle
The length of the arc defined by the central angle of 312 degrees is 26π cm.
The formula for the arc length of a circle is given by:
L = (θ/360) × 2πr
where L is the length of the arc, θ is the central angle in degrees, and r is the radius of the circle.
Substituting the given values, we get:
L = (312/360) × 2π(30)
L = (26/30) × π × 30
L = 26π cm
Therefore, the length of the arc defined by the central angle of 312 degrees is 26π cm.
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