Answers
This is a statistics problem involving Group Frequency Distribution Table. See the attached and the details below.
What is a Group Frequency Distribution Table?By dividing observations into intervals and tabulating the frequencies for each interval, data can be organized. A grouped frequency table is the end product.
The intervals in this distribution are referred to as classes.
What is the Estimated Mean of the Grouped Frequencies?This is obtained by dividing the sum of the product of all mid points and their frequencies by the total number of observations.
That is Estimated Mean = (f * x)/n ------See the attached sheet.
⇒ 503/50
= 10.06
What is the Estimated Median of the Grouped Frequencies?The median of the 50 observations = 28
This is arrived at by dividing the sum of 25th and the 26th number by 2.
That is (28 + 28)/28=28
This median falls in to the third class - 25-29. Hence, the median group is 25-29.
The estimated median value is computed as follows:
Estimated Median = L + (((n/2)-B)/G) x w
Where :
L is the lower class boundary of the group containing the mediann is the total number of valuesB is the cumulative frequency of the groups before the median groupG is the frequency of the median groupw is the group widthInserting the values we have :
L = 25
n = 50
B = 0 + 1 = 1
G = 2
w = 5
Estimated Median = 25 + (((50/2)-1)/2 ) * 5
= 25 + (24/2) * 5
= 85
How do you calculate the Estimated Mode?By observation, the modal group is 30-34. This is because it has the highest frequency of 4.
Hence, the Estimated Mode (EM) is arrived at using the formula:
EM = L + (fₙ-fₙ₋₁)/(fₙ-fₙ₋₁) + (fₙ-fₙ₊₁) x w
where:
L is the lower class boundary of the modal groupfn-1 is the frequency of the group before the modal groupfn is the frequency of the modal groupfn+1 is the frequency of the group after the modal groupw is the group widthNote that
L = 30
fn-1 = 2
fn = 4
fn+1 = 3
w = 5
Hence,
EM = 30 + (4-2)/((4-2) + (4-3)) x 5
= 30 + (2/(2+1)) x 5
= 30 + (2/3) x 5
EM = 33.33
In summary,
Estimated Mean: 10.06Estimated Median: 85Estimated Mode: 33.33Learn more about Group Frequency Distribution at:
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Related Questions
[tex] \huge\fbox\green{QUESTION} [/tex]
[tex] \mathsf \blue{calculate \: the \: gradient}[/tex]
Answers
[tex] \huge \fbox \orange{♧Answer♧}[/tex]
[tex] \mathcal\blue{METHOD\:1} [/tex]
[tex] \mathsf \purple{ - ( \frac{y}{x} )}[/tex]
[tex] \mathsf \purple{ - ( \frac{ - 4}{5})} [/tex]
[tex] \mathsf \purple{( \frac{4}{5} )}[/tex]
[tex] \mathcal\blue{METHOD\:2} [/tex]
[tex] \mathsf\purple{m\:=\:(Y2\:-\:Y1)\:÷\:(X2\:-X1)} [/tex]
[tex] \mathsf\purple{m\:=\:(-4\:-0)\:÷\:(0\:-\:5)} [/tex]
[tex] \mathsf\purple{( \frac{4}{5})} [/tex]
[tex] \mathcal\blue{METHOD\:3} [/tex]
[tex] \mathsf\purple{m\:=\:rise\:÷\:run} [/tex]
[tex] \mathsf\purple{m\:=\:( \frac{4}{5})} [/tex]
[tex] \mathbb\pink{NOTE:} [/tex]
The difference between the y-coordinates of the two points is called the rise. The difference between the x-coordinates of the same two points is called the run. The slope can be calculated by dividing the rise by run.
State all integer values of x in the interval (-3, 3] that satisfy the following
inequality:
-3x + 4 > 9
Answers
(-3,3] is an interval which means that -3 and 3 are not inclusive of the values of x -5/3.
We have given
-3x+4 > 9
Required values of x.
State the values of x within -3 and 3.
subtract 4 from both sides,
-3x+4-4>9-4
What is the meaning of like terms?like terms are terms that have the same variables and powers. The coefficients do not need to match.
Collect Like Terms
-3x > 5
(-3x)(-1) < 5(-1)
3x < -5
Divide both sides by 3
3x/3 < -5/3
x < -5/3
(-3,3] is an interval which means that -3 and 3 are not inclusive of the values of x is -5/3.
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Find the value of m < 7 .
Answers
Answer:
B
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ FES is an exterior angle of the triangle , then
57° + ∠ F = 142° ( subtract 57° from both sides )
∠ F = 85°
Answer: Option B: 85°
Step-by-step explanation:
Finding E: 142 + 180 + E = 360
360 - 142 - 180 = 32
E = 32
Finding F: 57 + 32 + F = 180
180 - 57 - 32 = 85
F = 85
Evaluate cos-1(0.4283). Round to 1 decimal place.
Answers
Answer
0.4283
Step-by-step explanation:
Multiply
0.4283
by
1
.
C Several groups of people wish to rent a boat. Group 1 has 4 people. Group 2 has 5
people Group 3 has 8 people. Which of the groups, if any, can safely rent a boat?
What is the maximum number of people that may rent a boat? Justify your answers
Answers
Answer:
group 69
Step-by-step explanation:
John Krasinski is Mr. Fantastic in Multiverse of Madness
The ice cream stand offers chocolate, vanilla, and strawberry ice cream. Find the approximate probability the next three customers order vanilla, chocolate, and then strawberry. A. 3.7% B. 11.1% C. 16.7% D. 8.3%
Answers
Answer:
D I'm sure that's is answer thank you
How many hours and minutes is 125 minutes
Answers
Answer:
2 hours and 5 minutes.
Step-by-step explanation:
2 hours is 60mins+60mins which is equal to 120mins and then the extra 5mins
Hilary studied for a total of 2 hours and 5 minutes this week.
If Hilary studied for 25 minutes each day for five days this week, we can calculate the total study time by multiplying the number of minutes studied per day (25) by the number of days (5):
25 minutes/day × 5 days = 125 minutes
To convert this to hours and minutes, we need to divide the total minutes by 60 (since there are 60 minutes in an hour) to get the number of hours and find the remainder as minutes.
125 minutes ÷ 60 = 2 hours and 5 minutes
Therefore, Hilary studied for a total of 2 hours and 5 minutes this week.
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Can someone try to help?
Answers
Answer:
Step-by-step explanation:
In ΔABC, AB = 16 in, BC = 9 in, AC = 10 in. AD is perpendicular to the extension of BC . Find CD.
Answers
Answer:
25/6
I don't really know how I got it, sorry I can't help with that
What is the equation of the line that passes through the points (-8,-1) and (-4,-4)?
Answers
Answer:
1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
Step-by-step explanation:
Aft
10 ft
3 ft
2 ft
6 ft
Surface Area =
Surfa
I need the surface area
Answers
Answer:
Step-by-step explanation:
Front and back
Givens
base = 6 feet
height = 2
Formula
Area = 1/2 B * h
Area = 1/2 * 6 * 2
Area = (2) 1/2 * 12
Area = 12 square feet for both front and back
Base
The base is a rectangle. A rectangle has the formula of Area = L*w
Givens
L = 10 feet
W = 6 feet
Area = 10 * 6 = 60
Left roof
The left roof is also a rectangle. Area = L*w
Givens
L = 10 feet
W = 3 feet
Area = 3 * 10 = 30 feet^2
Right Roof
The right roof is a rectangle. Area = L*w
Givens
L = 10 feet
w = 4 feet
Area = 4 * 10 = 40 ft^2
Total area
Total Area = right roof + left roof + Base + front and back
Total Area = 40 + 30 + 60 + 12
Total Area = 142 feet ^2
Does anyone know how to solve this! (30 points)
Answers
Answer:
Step-by-step explanation:
-16[tex]t^{2}[/tex] +50t + 3
they ask what is the height after exactly 3 seconds, so plug in the 3 for t
t(3) = -16*[tex]3^{2}[/tex] + 50*3 +3
t(3) = -144 +150 +3
t(3) = 9 feet, ( the ball has gone up and come back down most of the way )
Kendrick was given the equations 4x+2y=14 and 3x-y=23. He decided to solve the system of equations by substitution. Each step is shown.
Step 1: 4x+2y=14
Step 2: 2y=14-4x
Step 3: y=7-2x
Step 4: 3x-7-2x=23
Step 5: x-7=23
Step 6: x=30
In which step did Kendrick make an error? Explain.
Answers
The Kendrick made a mistake in step 4 he did not multiply the term (7 - 2x) with -1, and he wrote 3x-7-2x=23 instead of 3x -7 +2x = 23
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
Kendrick was given the equations:
Step 1: 4x+2y=14 ...(1)
3x-y=23 ...(2)
From the equation first:
Step 2: 2y = 14 - 4x
Step 3: y = 7 - 2x put this value in the second equation
Step 4: 3x - (7 - 2x) = 23
Step 5: 3x -7 +2x = 23
Kendrick did a mistake in step 4 he did not multiply the term (7 - 2x) with -1
Thus, the Kendrick made a mistake in step 4 he did not multiply the term (7 - 2x) with -1, and he wrote 3x-7-2x=23 instead of 3x -7 +2x = 23
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I need help with this
Answers
Answer:
(a) = 37π/180 radians
(b) = 37°
Step-by-step explanation:
Converting km/h ⇒ m/s :
⇒ 54 km/h x 5/18
⇒ 3 x 5
⇒ 15 m/s
===============================================================
Formula to calculate the angle :
⇒ tanθ = v/r
⇒ tanθ = (15 m/s)/(20 m)
⇒ θ = tan⁻¹ (0.75)
⇒ θ = 37°
=============================================================
Converting to radians :
⇒ Radian measure = Angle measure × π/180°
⇒ Radian measure = 37° × π/180°
⇒ Radian measure = 37π/180 radians
=============================================================
Solutions :
(a) = 37π/180 radians
(b) = 37°
Find the value of X round to the nearest degree
Answers
Check the picture below.
Make sure your calculator is in Degree mode.
Which decimal is equivalent to -3 1/8? *20 points*
a. -3.18
b. -3. 125
c. -3. 1205
d. -3.12
Answers
Answer: -3.125
Step-by-step explanation: -1 divided by 8 = .125
Which of the following is an irrational number?
AOS because it cannot be rewritten as an integer
B. 0.98 35 , because
iS a repeating decimal
0. C.T 0, because it has no value
D.O /84, because it cannot be expressed as either a terminating or repeating decimal
Answers
Answer:
D
Step-by-step explanation:
This is an irrational number as it does not repeat and has an infinite number of combinations (as like pi)
HELP PLEASEEEEeeeeee
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The value of the expression (√2)π/(√5) is 2.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value of the expression (√2)π/(√5) can be written as,
[tex]\dfrac{\sqrt2 \pi}{\sqrt5}\\\\= \sqrt{\dfrac25}\pi\\\\=\sqrt{0.4} \times \pi\\\\[/tex]
= 0.6324 × π
= 1.9869 ≈ 2
Hence, The value of the expression (√2)π/(√5) is 2.
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Answer:
It would be D). 2.0 because we know the square root of 2 over the square root of 5 is the square root of 10 over 5. Now, we can plug in pi, giving us the square root of 10 times pi over 5. Giving us 1.98 which can be rounded up to 2.0
Use this chart to answer the following questions.
QUARTER
DIVIDEND DIVIDEND FOR 55 SHARES
1 $.50/share 27.50
2 $.35/share 19.25
3 $.62/share
4 $.50/share 27.50
Total Dividends for 1 Year
How much would an investor with 55 shares of this stock have earned in dividends in one year?
$108.35
$106.75
$107.85
$109.05
Answers
The amount that an investor with 55 shares of this stock have earned in dividends will make in one year is A. $108.35.
How to calculate the dividend?It should be noted that the dividend for the year will simply be calculated by adding the dividend in each quarter.
Therefore, the amount that an investor with 55 shares of this stock have earned in dividends will make in one year will be:
= $27.50 + $19.25 + $34.10 + $27.50
= $108.35
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if the slope is 10.5 what would be the per hour
Answers
Answer:
Uh the slope
Step-by-step explanation:
14) Which factored form is equivalent to the expression x2 + xy – 2y – 2x?
A) (x + 2)(x + y)
B) (x - 2)(x + y)
C) (x+2)(x-y)
D) (x-2)(x-y)
Answers
Answer:
B
x(x+y)-2(x+y)
x2+xy-2x-2y
(-2y-2x=-2x-2y because of distributive property)
What is 80 percent of 160?
Answers
Step-by-step explanation:
[tex] = \frac{80}{100} \times 160 \\ [/tex]
[tex] = \frac{12800}{100} [/tex]
= 128
Axel used the vertical line test on this graph, and decided it is a function because the vertical line only passes through one point, (3, 0).
On a coordinate plane, a circle is centered around (0, 0). A vertical line touches the edge of the circle at (3, 0).
Is Axel’s statement correct?
Answers
Explanation:
By viewing this question, I can already tell Axel is incorrect. Because the shape is a circle, it goes around and then meets back at one spot. Therefore, when using the vertical line test, many different points have the same y-value. Because there are multiple outputs for one value, this circle is not a function. Axel’s graph does not pass the vertical line test for every set of points.
Answer: Axel's statement would be incorrect. (If this is for Edgenulty, the answer is C)
Step-by-step explanation: No, because the relation does not pass the vertical line test for every possible input.
Find the mean absolute deviation for each set of data. Round to the nearest Tenths.
5.2, 4.8, 5.5
4.7, 5.3, 4.9
Answers
Answer:
5.2 , 4.8 , 5.5 is 0.2
4.7 , 5,3 , 4.9 is 0.7
Directions: Identify the binomial factors of the following trinomials.
1. x2 + 14x + 13
2. x2 + 7x + 12
3. x2 + 8x + 15
4. x2 + 8x + 12
5. x2 + 7x + 10
6. x2 + 5x + 6
7. x2 + 5x + 4
8. x2 + 10x + 21
9. x2 + 10x + 16
10. x2 + 6x + 9
11. x2 + 9x + 20
12. x2 + 9x + 14
13. x2 + 13x + 42
14. x2 + 9x + 18
15. x2 + 17x + 70
(Remember, the factors of the last term that equal the addends of the second term.)
Answers
Answer:
1. x= -1 & x= -13
2. x= -3 & x= -4
3. x= -3 & x= -5
4. x= -6 & x= -2
5. x= -5 & x= -2
8. x= -7 & x= -3
9. x= -8 & x= -2
10. x= -3 & x= -3
11. x= -5 & x= -4
12. x= -2 & x= -2
13. x= -6 & x= -7
14. x= -6 & x= -3
15. x= -10 & x= -7
!!!1HELPP!!PLS HELP ITS DUE TONIGHT!! Two spinners are used in a game. Each spinner has four equal sections: red, green, white, and blue.
Create an organized list showing all the possible outcomes after both spinners are spun. Use R to represent red, G to represent green, W to represent white, and B to represent blue. Explain how to find the total number of outcomes from the list.
Find the probability of landing on white then blue.
Compare the probability found in Part B to the probability of landing on white and blue in either order. Explain why they different.
If a third spinner is introduced, would the probability of landing on blue, white, and green in any order still have the same relationship with the probability of landing on the same color set in a specific order? Justify
Answers
What type of event is composed of two or more separate events?
Answers
Answer:
A compound event
Step-by-step explanation:
compound event is more complex than a simple event, as it involves the probability of more than one outcome. Another way to view compound events is as a combination of two or more simple events
Here are three intersecting lines.
Write an equation that represents a relationship between these angles.
Answers
Answer:
Simplify the expression using the distributive property.
6(x +7)
Group of answer choices
6x + 42
6x + 7
x + 42
Step-by-step explanation:
2. Two painting companies were hired to paint two different buildings. The amount of area
left to paint on both buildings is related to the amount of time that the painters spend
on painting each of them. This relationship is shown in the two graphs below:
a. what are the linear functions modelling the two relationships in the graphs above?
b. which painting company is painting their building at a faster rate? how much faster?
c. which painting company had less area to paint when they began painting their building?
d. how many hours will it take each painting company to completely finish painting their building?
pls help its due today and its 100 points
Answers
#a
#1
(0,2100)(7,2000)Slope:-
m=2000-2100/7=-100/7Equation in point slope form
y-2100=-100/7(x)y=-100/7x+2100Slope=-100/7
#2
(0,1800)(8,1700)Slope
m=1700-1800/8=-100/8Y intercept=1800
Equation
y=-100/8+1800Slope=-100/8
#b
First company is painting faster
-100/7 ÷-100/88/7 times faster#c
Comapny B
as their y intercept is 1800 which is less than 2100#d
for #1
-100/7x+2100=0100/7x=2100x=21(7)=147hours#2
100/8x=1800x=18(8)x=144hoursThese proteins identify and lock on to an antigen (pathogen) and then tell other parts of the body to destroy the germ and it is not D
A. T Cells
B. Phagocytes
C. Antibodies
D. Lymphocytes
Answers
Answer:
c. antibodies
Step-by-step explanation:
Antibody Functions
Attach to flagella of bacterium, restricting their movement. Multi-bind to many bacteria at once, causing them to accumulate and prevent movement around the body. Burst bacteria cell walls. Attach to bacteria, making it easier for phagocytes to ingest them.
