Answer:
The mode of this list of numbers would still be [tex]7[/tex] (the mode did not change) after "[tex]5[/tex]" was added to the list.
Step-by-step explanation:
The mode of a list of elements is the member that appears the most frequently.
The original list of numbers in this question [tex][5,\, 7,\, 7,\, 7,\, 1,\, 2,\, 9,\, 8][/tex] included the following members:
[tex]\begin{array}{c|c} \text{Member} & \text{Number of appearances} \\ \hline\hline 1 & 1 \\\hline 2 & 1 \\\hline 5 & 1\\\hline 7 & 3 \\\hline 8 & 1 \\\hline 9 & 1 \\\end{array}[/tex]
[tex]\begin{array}{c|c} \text{Member} & \text{Number of appearances} \\ \cline{1-2}\\[-1em]\cline{1-2} 1 & 1 \\\cline{1-2} 2 & 1 \\\cline{1-2} 5 & 1\\\cline{1-2} 7 & 3 \\\cline{1-2} 8 & 1 \\\cline{1-2} 9 & 1 \\\end{array}[/tex].
The member "[tex]7[/tex]" appeared more often than any other member of this list. Thus, the mode of the original list was "[tex]7\![/tex]".
Adding "[tex]5[/tex]" to the original list would give the list [tex][5,\, 7,\, 7,\, 7,\, 1,\, 2,\, 9,\, 8,\, 5][/tex]. Members of this list are:
[tex]\begin{array}{c|c} \text{Member} & \text{Number of appearances} \\ \hline\hline 1 & 1 \\\hline 2 & 1 \\\hline 5 & 2\\\hline 7 & 3 \\\hline 8 & 1 \\\hline 9 & 1 \\\end{array}[/tex]
[tex]\begin{array}{c|c} \text{Member} & \text{Number of appearances} \\ \cline{1-2}\\[-1em]\cline{1-2} 1 & 1 \\\cline{1-2} 2 & 1 \\\cline{1-2} 5 & 2\\\cline{1-2} 7 & 3 \\\cline{1-2} 8 & 1 \\\cline{1-2} 9 & 1 \\\end{array}[/tex].
The member "[tex]7[/tex]" still appeared more often than any other member of this list. Thus, the mode of the new list would also be "[tex]7\![/tex]".
help me please complete the table at the right by writing the fraction of the day each animal sleeps and an equivalent fraction remember there are 24 hours in a day
Answer:
1 day = 24 hours
Divide each of the "number of hours spent sleeping" by the total number of hours in a day (24). Then divide the numerator and denominator by the highes common factor to reduce the fraction to its simplest equivalent.
[tex]\sf Cat=\dfrac{12}{24}=\dfrac{12 \div 12}{24 \div 12}=\dfrac{1}{2}[/tex]
[tex]\sf Cow=\dfrac{4}{24}=\dfrac{4 \div 4}{24 \div 4}=\dfrac{1}{6}[/tex]
[tex]\sf Squirrel=\dfrac{15}{24}=\dfrac{15 \div 3}{24 \div 3}=\dfrac{5}{8}[/tex]
[tex]\sf Tiger=\dfrac{16}{24}=\dfrac{16 \div 8}{24 \div 8}=\dfrac{2}{3}[/tex]
8 points
Find the measure of the arc or
angle indicated. Assume that
lines which appear tangent are
tangent. *
F
E
46°
?
?
570
D
с
T
O 123
O 149
O 167
O 93
Answer:
B. 149Step-by-step explanation:
The angle formed by two secants is half the difference of intercepted arcs.
46 = 1/2(x - 57)x - 57 = 46*2x = 57 + 92x = 149Correct choice is B
Let that be m
2(46)=m-5792=m-57m=92+57m=149option B
The points (-1, r) and (4, 6) lie on a line with slope 3. Find the missing coordinate r.
Answer:
R = -9
Step-by-step explanation:
To solve the slope with two points, you would use the formula y2 - y1/x2 - x1. First, you would take the formula and sub in the values that you currently know.
6 - r/4 - (-1) = 3, 6 - r/5 = 3, 6 - r = 15, -r = 9, r = -9
Therefore, r = -9.
C. Test your team's method by determining the midpoint of the segment with endpoints (-5,7) and (9, 4) and checking your answer with your teacher. On a map, Cary drew a set of coordinate axes. He noticed that the town of Coyner is located at the point (3,1) and Woottonville is located at (15,7), where 1 grid unit represents 1 mile. If the towns want to place a school at the midpoint between the towns, where should it be located? How far would it be from each town?
The town should be located 13.4 units from each other
How to calculate the distance between two pointsThe formula for calculating the distance between two points is expressed as:
√(x2-x1)²+(y2-y1)²
The midpoint of two coordinates is expressed as:
[tex]m(x, y)=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )[/tex]
Substitute the given coordinate
[tex]m(x, y)=(\frac{3+15}{2}, \frac{1+7}{2} )\\m(x,y)=(9,4)[/tex]
Hence the town should be located at coordinate (9, 4)
Calculate the distance
D = √(15-3)²+(7-1)²
D = √(12)²+(6)²
D = 13.4units
Hene the town should be located 13.4 units from each other
Learn more on midpoint here: https://brainly.com/question/24431553
The ratio of two numbers is 4 to 3. The sum of the numbers is 49. What are the two numbers?
Answer:
28/21
Step-by-step explanation:
28/21 is the equivalent to 4/3.
We know this is the fraction we are looking for because 28 + 21 = 49
Hope that helps!
The Diameter of the medal is 6cm determine the radius of the medal
Answer:
3cm
Step-by-step explanation:
the radius is half the diameter
If the diameter = 6, the radius must = 3.
Hope this helps!
- profparis
A line passes through the points (0, 6) and (–9, 9). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
[tex]y = -\frac{1}{3} x + 6[/tex]
Step-by-step explanation:
Slope-intercept form: [tex]y = mx + b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
The formula to find the slope of a line is [tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex].
1) Plug the coordinates into this [tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex].
[tex]m = \frac{9 -6 }{-9 - 0 }[/tex]
2) Solve it. Simplify it if possible.
[tex]m = \frac{3 }{-9}[/tex]
Simplified: [tex]m = \frac{1 }{-3 }[/tex]
3) Plug the result into [tex]y = mx + b[/tex].
[tex]y = \frac{1}{-3} x + b[/tex]
4) Plug one of the points ([tex]x_{1}, y_{1}[/tex] or [tex]x_{2}, y_{2}[/tex]) into [tex]y = \frac{1}{-3} x + b[/tex] to find [tex]b[/tex].
[tex]6 = \frac{1}{-3}(0) + b[/tex]
[tex]6 = 0 + b[/tex]
[tex]6 - 0 = b[/tex]
[tex]6 = b[/tex]
5) Plug the result of [tex]b[/tex] into [tex]y = \frac{1}{-3} x + b[/tex].
[tex]y = \frac{1}{-3} x + 6[/tex]
The negative situated in the denominator can be genaralised to the fraction.
Therefore, [tex]y = -\frac{1}{3} x + 6[/tex].
A conference consists of 5 sessions: A, B, C, D, and E. Here are the costs of the sessions.
Session A: $50
Session B: $50
Session C: $100
Session D: $150
Session E: $200
Here is a graph of the cost of all 5 sessions.
A dotplot titled Graph A. A number line labeled session cost (dollars) goes from 40 to 200. 50, 2; 100, 1; 150, 1; 200, 1.
A participant plans to attend 3 sessions. Here is a list of all possible samples of size 3 sessions from this population of 5 sessions: ABC, ABD, ABE, ACD, ACE, ADE, BCD, BCE, BDE, and CDE.
Here is a graph displaying the minimum session cost for each possible sample of 3 sessions.
A dotplot titled Graph B. A number line labeled sample minimum session cost (dollars) goes from 50 to 100. 50, 9; 100, 1.
The participant chooses 3 sessions at random from the list of all 5 sessions. The result of the random selection is sessions B, D, and E.
Here is a graph displaying the distribution of session cost for this sample.
A dotplot titled Graph C. A number line labeled session cost (dollars) goes from 40 to 200. 50, 1; 140, 1; 200, 1.
Which of the following gives the correct order of the graphs of the population distribution, distribution of a single sample, and sampling distribution, respectively?
C, A, B
B, C, A
A, B, C
A, C, B
Answer:
A, C, B
Step-by-step explanation:
Took the test on EDG
Answer:
The answer is D
Step-by-step explanation:
Which of the following is not a kind of consumer credit?
a. installment credit
b. personal loans
A
C. service credit
d.
marginal credit
Please select the best answer from the choices provided
OA
OB
OC
OD
Mark this and return
Save and Exit
Next
Submit
Answer:
D. marginal credit is right one
What is the smallest number that, when divided by 4 and 5, will yield a remainder of 2?
Answer:
The required number is 62.
Let the required smallest number be X. We are aware that the required number is to be divided by 5, 6, 4, 3. The number leaves a remainder=2 on dividing by the aforementioned numbers.
Find the surface area of the rectangular prism (above) using its net (below).
Answer:
68
Step-by-step explanation:21+6+6+14+21=68
Answer:
82
Step-by-step explanation:
Calculate the area of each part and sum them up
S= 7x3+7x2+7x3+2x3+2x3+7x2
42+28+12
=82
hope this helps!
This figure represents a garden box that is to be filled with soil.
How much soil will it take to fill the garden box?
Enter your answer in the box.
Answer:
1728 ft³
Step-by-step explanation:
Lower part:
volume = 19 ft × 12 ft × 6 ft = 1368 ft³
Upper part:
volume = 10 ft × 12 ft × 3 ft = 360 ft³
Total Volume = 1728 ft³
5 Ed has two dogs. The smaller dog weighs
83 pounds. The larger dog weighs 13 times
as much as the smaller dog. How much does the larger dog weigh?
Answer:
1,079 more pounds
Step-by-step explanation:
because if you do 83x13 you will get 1,079
Factor completely
X^6-125y^6
[tex]\begin{equation}\text { Question: The value of } \lim _{n \rightarrow \infty} \frac{1}{n} \sum_{r=0}^{2 n-1} \frac{n^{2}}{n^{2}+4 r^{2}} \text { is }\end{equation}[/tex]
You have something resembling a Riemann sum. Multiply through the summand by 1/n², then you can write
[tex]\displaystyle \lim_{n\to\infty} \frac1n \sum_{r=0}^{2n-1} \frac{1}{1+4\left(\frac rn\right)^2} = \int_0^2 \frac{dx}{1+4x^2} = \boxed{\frac12 \tan^{-1}(4)}[/tex]
Which statement describes the graph of the function?
The function has holes when x = 0 and x = 4.
The function has vertical asymptotes when x = 0 and x = 4.
The function has a vertical asymptote when x = 0 and a hole when x = 4.
The function has a hole when x = 0 and a vertical asymptote when x = 4.
Answer:
the function has vertical asymptotes when x = 0 and x = 4
Step-by-step explanation:
a student has 200naira,if someone gives her 160naira, how much wi.ll she have? if someone gives her xnaira how much does wil
Answer:
360 naira hope its help
Step-by-step explanation:
brainliest me
Use the distributive property to fill in the blank. Plssss helpp 8 x (6 - 5) = (8 x ?) - (8 x ?)
Answer:
334 hope this helps
Step-by-step explanation:
8 × 6 = 48 -5 =43 ×8 =334
Hey there!
8 * (6 - 5)
= 8(6 - 5)
= 8(6) + 8(-5)
= 48 - 40
= 8
OR
8(6 - 5)
= 8(1)
= 8
OR EVEN
(8 * ?) - (8 * ?)
= (8 * 6) - (8 * 5)
= 48 - 40
= 8
Therefore, your answer should be:
(8 * 6) - (8 * 5)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Roy and Stefan went to a computer fair with the same amount of money. After Roy spend $850 on a notebook and Stefan spend $300 on a printer, Stefen had three times as much money left as Roy.How much money did each of them have at first?
Answer:
$1125
Step-by-step explanation:
Check the attachment.
Suppose $f(3) = 4$. Name a point that must be on the graph of $y=f(x)+4.$
Enter your answer as an ordered pair.
Answer:
(x, y) = (3, 8)
Step-by-step explanation:
The graph for y is a translation upward 4 units of the graph of f(x).
__
A point on the graph of f(x) is given as ...
(x, f(x)) = (3, f(3)) = (3, 4)
Then a point on the graph of y will be ...
(x, y) = (x, f(x) +4)) = (3, f(3)+4) = (3, 4 +4)
(x, y) = (3, 8)
Want Brainliest? Please help! :(
Find the circumference and the area of a circle with diameter 6 m.
Use the value 3.14 for pi, and do not round your answers. Be sure to include the correct units in your answers.
Answer:
Circumference=18.84 m
Area = 28.26 [tex]m^{2}[/tex]
Step-by-step explanation:
Circumference = 2πr
= 2 x 3.14 x 3 (radius = 6/2 = 3)
= 18.84 m
Area = π[tex]r^{2}[/tex]
= 3.14 x [tex]3^{2}[/tex]
= 28.26 [tex]m^{2}[/tex]
Answer:
Circumference=18.84 m
Area = 28.26
Step-by-step explanation:
Emma buys a game for $26.84. She gives
the clerk $30.00. List Emma's change using the least
number of coins and bills.
Answer:
3 1-dollar-bills. 1 dime. 1 nickel. 1 penny
$3.16 in return.
(02.01 LC) Which of the following tables represents a function?
Answer:
the answer is the third one
Step-by-step explanation:
because in a function the x value has to be unique.
Answer:
c (third one)
Step-by-step explanation:
explain in depth how 12 x √3/2 = 6√3 (GCSE MATHS)
Step-by-step explanation:
I hope this helps, you can ask any question for clarification
The rectangular floor of a classroom is 32 feet in length and 40 feet in width. A scale drawing of the floor has a length of 8 inches. What is the ares, in square inches,of the floor in the scale drawing
How much on average did she make a week, if she worked 15 hours a week at $11/hour? (Rounded to the nearest whole dollar. Do NOT put the dollar sign.)
Answer:
1265 i think
Step-by-step explanation:
add 11 15 times
Answer:165
Step-by-step explanation:
HELP PLEASE ! What is the solution to the equation x + 9.5 = 27.5? (1 point)
a
x = 2.9
b
x = 18
c
x = 20
d
x = 37
Answer:
B
Step-by-step explanation:
Group like them
such that the coefficient stands alone
by subtracting both sides by 9.5
Which confidence level would produce the widest interval when estimating
the mean of a population based on the mean and standard deviation of a
sample of that population?
A. 31%
B. 57%
O C. 69%
D. 42%
Answer:
C 69
Step-by-step explanation:
The correct option for Which confidence level would produce the widest interval when estimating the mean of a population based on the mean and standard deviation of a sample of that population is C. 69%
What is the population in simple words?
A population is the number of living people that live together in the same place. A city's population is the number of people living in that city. These people are called inhabitants or residents. The population includes all individuals that live in that certain area.
Conclusion: It can be a group of people, objects, events corporations, and so forth. you use populations to attract conclusions. determine 1: population. An example of a population would be the complete scholar body at a faculty. it'd consist of all of the college students who examine in that university at the time of statistics collection.
Learn more about the population here https://brainly.com/question/25630111
#SPJ2
Sara used 6_1/2 packs of pencils in the first 1/2 of the year. At what rate is Sara using pencils?
⚫️13 packs per year
⚫️8_1/2 packs per year
⚫️14 packs per year
⚫️12_1/2 packs per year
a rope is tied to the top of a 4-meter building its other end is tied to the ground 1 meter away form the building. what is an equation for the ropes height y at distance x from the building in standard from a x-4y=4 b 4x-y =4 c 4x+y=4d x-4y=-4
Let the equation be
[tex] \rightarrow y = mx + c[/tex]
y = height of the bulidingx = distance from buildingm = slope of equation[tex] \huge\rightarrow \: m = \frac{y' - y}{x' - x} \\ [/tex]
(x,y) =(1,0)(x'y') =(0,4)[tex] \huge\rightarrow \: m = \frac{4 - 0 }{0 \: - 1} = - 4 \\ [/tex]
m = -4y = mx+cy = -4x+cx= 0,y = 4 4= -4 x 0 + cc= 4hence ,our equation would be,
[tex]\huge \rightarrow 4x + y = 4[/tex]