Find the mean of x of each distribution.
Correct answers will be mark as BRAINLIEST and get 50 points
Wrong answers will be reported
Answers
Answer:
See below ~
Step-by-step explanation:
a)
Mean = 2(11) + 3(17) + 4(24) + 5(23) + 6(18) + 7(15) / 108Mean = 22 + 51 + 96 + 115 + 108 + 105 / 108Mean = 497 / 108Mean = 4.6b)
Mean = 0(35) + 1(76) + 2(48) + 3(22) / 181Mean = 76 + 96 + 66 / 181Mean = 1.31c)
Mean = 8(7) + 9(10) + 10(3) / 20Mean = 56 + 90 + 30 / 20Mean = 176/20Mean = 8.8Answer:
a) 4.60 (2 dp)
b) 1.31 (2 dp)
c) 8.8
Step-by-step explanation:
The "Frequency" part of a frequency table is the measure of how often the data value occurs.
To calculate the mean of data presented in a frequency table, we need to multiply each data value by its given frequency, sum these, then divide by the sum of the frequency.
The formula for mean is:
[tex]\textsf{mean}=\overline{x}=\dfrac{\displaystyle \sum fx}{\displaystyle\sum f}[/tex]
Part (a)Add a row showing the values of [tex]fx[/tex]
Add a column showing the totals of [tex]f[/tex] and [tex]fx[/tex]
[tex]\large\begin{array}{| c | c | c | c | c | c | c | c |}\cline{1-8} & & & & & & & \sf Total \\\cline{1-8} x & 2 & 3 & 4 & 5 & 6 & 7 & \\\cline{1-8} \textsf{Frequency}\:f & 11 & 17 & 24 & 23 & 18 & 15 & 108\\\cline{1-8} fx & 22 & 51 & 96 & 115& 108 & 105 &497 \\\cline{1-8}\end{array}[/tex]
Now use the formula to calculate the mean:
[tex]\implies \textsf{mean}=\overline{x}=\dfrac{497}{108}=4.60\:\textsf{(2 dp)}[/tex]
Part (b)Add a column showing the values of [tex]fx[/tex]
Add a row showing the totals of [tex]f[/tex] and [tex]fx[/tex]
[tex]\large\begin{array}{| c | c | c |}\cline{1-3} x & \textsf{Frequency}\: f & fx \\\cline{1-3} 0 & 35 & 0 \\\cline{1-3} 1 & 76 & 76\\\cline{1-3} 2 & 48 & 96\\\cline{1-3} 3 & 22 & 66 \\\cline{1-3} \sf Total & 181 & 238 \\\cline{1-3}\end{array}[/tex]
Now use the formula to calculate the mean:
[tex]\implies \textsf{mean}=\overline{x}=\dfrac{238}{181}=1.31\:\textsf{(2 dp)}[/tex]
Part (c)Add a column showing the values of [tex]fx[/tex]
Add a row showing the totals of [tex]f[/tex] and [tex]fx[/tex]
[tex]\large\begin{array}{| c | c | c |}\cline{1-3} x & \textsf{Tally}\: f & fx \\\cline{1-3} 8 & 7 & 56\\\cline{1-3} 9 & 10 & 90\\\cline{1-3} 10 & 3 & 30\\\cline{1-3} \sf Total & 20 & 176\\\cline{1-3}\end{array}[/tex]
Now use the formula to calculate the mean:
[tex]\implies \textsf{mean}=\overline{x}=\dfrac{176}{20}=8.8[/tex]
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Group of answer choices
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Answers
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Answer:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Directions: Factor the following trinomials containing negative numbers. Follow the rules for operations with signed numbers to identify the correct binomial factors.
1. x2 + 6x - 7
2. x2 - 5x + 6
3. x2 - 6x - 7
4. x2 + 5x - 6
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6. x2 - 2x - 8
7. x2 - 4x - 5
8. x2 + 2x - 3
9. x2 - 16
10. x2 - x - 12
11. x2 -9x + 18
12. x2 -5x - 14
13. x2 - 7x + 10
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Answers
This is the diamond method and helps before you can do it in your head after a bit of practice.
Hope it helps!
Answer:
Step-by-step explanation:
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2. x2 - 5x + 6
3. x2 - 6x - 7
4. x2 + 5x - 6
5. x2 + x - 12
6. x2 - 2x - 8
7. x2 - 4x - 5
8. x2 + 2x - 3
9. x2 - 16
10. x2 - x - 12
11. x2 -9x + 18
12. x2 -5x - 14
13. x2 - 7x + 10
14. x2 -11x + 24
15. x2 - x - 30
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Answers
Mean, median, and mode of the given data is 8.4, 7, and 6 respectively.
What is Central Tendency?A central tendency is a central or typical value for a probability distribution. Colloquially, measures of central tendency are often called averages. The term central tendency dates from the late 1920s. The most common measures of central tendency are the arithmetic mean, the median, and the mode.
Here, Given data
x f xf
5 1 5
6 4 24
7 3 21
8 2 16
10 2 20
13 2 26
14 1 14
Mean = ∑xf/∑f
= 126/15
= 8.4
Median = 7
Mode = 6
Thus, Mean, median, and mode of the given data is 8.4, 7, and 6 respectively.
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how many different roots does the polynomial function have y = (x-2)(x+3)^2 have
Answers
Answer:
[tex]x=2,-3[/tex]
Step-by-step explanation:
Set [tex](x-2)(x+3)^2[/tex] equal to [tex]0[/tex].
[tex](x-2)(x-3)^22=0[/tex]
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[tex]x-2=0\\(x+3)^2=0[/tex]
Set the first factor equal to [tex]0[/tex] and solve.
Set the first factor equal to [tex]0[/tex].
[tex]x-2=0[/tex]
Add [tex]2[/tex] to both sides of the equation.
[tex]x=2[/tex]
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[tex]x+3=0[/tex]
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[tex]x=-3[/tex]
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In a classroom, 4/6of the students are wearing
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Answers
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Adele ate 1/4 of a hamburger in 5/6 of a minute. How many minutes will it take her to finish the entire hamburger?
Answers
Answer:
3 minutes 20 seconds
Step-by-step explanation:
Time taken to eat 1/4 of a hamburger = 5/6 minute
The entire burger = 4/4Since 1 x 4 = 4, it will take 4 times the amount of time taken to eat 1/4 of a hamburgerSolving
T = 5/6 x 4 minutesT = 20/6 minutesT = 3 2/6 mintuesT = 3 minutes 20 secondsA bucket holding several inches of water was placed under a leaking faucet. Water leaked into the bucket so that the level of the water in the bucket increased by a certain number of inches per hour. The equation y=2x+4 represents this situation, where x is the number of hours and y is the number of inches of water in the bucket. What does the number 4 in the equation represent? A total of 4 inches of water leaked into the bucket. The bucket initially held 4 inches of water. The water level decreased by 4 inches per hour. The water level increased by 4 inches per hour.
Answers
The number 4 represents the initially held water of the bucket. Then the correct option is B.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
A bucket holding several inches of water was placed under a leaking faucet.
Water leaking into the bucket so that the level of the water in the bucket increased by a certain number of inches per hour.
The equation y = 2x + 4 represents this situation, where x is the number of hours and y is the number of inches of water in the bucket.
Then the number 4 in the equation represents.
The number 4 represents the initially held water of the bucket.
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Natalie was asked to find the angle measures of a triangle that has the ratio 1:3:5 . Natalie made a mistake in her work. Find the mistake and correct it.
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Answer:
y=[tex]-\frac{1}{6}[/tex]x-2
Step-by-step explanation:
by using this website
its a graphing calculator
desmos. com/calculator
