The following frequency distribution presents the five most frequent reasons for hospital admissions in U.S. community hospitals in a recent year.
Reason Frequency (in thousands)
Congestive heart failure 990
Coronary atherosclerosis 1400
Heart attack 744
Infant birth 3800
Required:
a. Construct a frequency bar graph.
b. Construct a relative frequency distribution.
c. Construct a relative frequency bar graph.
d. Construct a relative frequency Pareto chart.
Answers
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]Reason \to Frequency[/tex]
[tex]Congestive\ heart\ failure \to 990[/tex]
[tex]Coronary\ atherosclerosis\to 1400[/tex]
[tex]Heart\ attack \to 744[/tex]
[tex]Infant\ birth\to 3800[/tex]
Solving (a): Frequency bar graph
To do this, we simply plot the reasons (on the x-axis) against the frequency (on the y-axis).
See attachment
Solving (b): Relative frequency distribution
The relative frequency is calculated as:
[tex]RF = \frac{F}{Total}[/tex]
Where
[tex]Total = 990+1400+744+3800[/tex]
[tex]Total = 6934[/tex]
So, we have:
[tex]Congestive\ heart\ failure \to \frac{990}{6934} = 0.1427[/tex]
[tex]Coronary\ atherosclerosis\to \frac{1400}{6934} = 0.2019[/tex]
[tex]Heart\ attack \to \frac{744}{6934} = 0.1073[/tex]
[tex]Infant\ birth\to \frac{3800}{6934} = 0.5481[/tex]
So, the relative distribution is:
[tex]Reason \to Frequency \to Relative\ Frequency[/tex]
[tex]Congestive\ heart\ failure \to 990 \to 0.1427[/tex]
[tex]Coronary\ atherosclerosis\to 1400 \to 0.2019[/tex]
[tex]Heart\ attack \to 744 \to 0.1073[/tex]
[tex]Infant\ birth\to 3800 \to 0.5481[/tex]
Solving (c): Relative frequency bar graph
To do this, we simply plot the reasons (on the x-axis) against the relative frequency (on the y-axis).
See attachment
Solving (d): Relative frequency Pareto chart
First, calculate the cumulative relative frequency
This is done by adding up the previous relative frequency,
So, we have:
[tex]Reason \to Relative\ Frequency \to Cumulative[/tex]
[tex]Congestive\ heart\ failure \to 0.1427 \to 0.1427[/tex]
[tex]Coronary\ atherosclerosis \to 0.2019 \to 0.2019+0.1427=0.3446[/tex]
[tex]Heart\ attack \to 0.1073\to 0.3446+0.1073 = 0.4519[/tex]
[tex]Infant\ birth \to 0.5481 \to 0.5481+4519 =1[/tex]
So, we have:
[tex]Reason \to Relative\ Frequency \to Cumulative[/tex]
[tex]Congestive\ heart\ failure \to 0.1427 \to 0.1427[/tex]
[tex]Coronary\ atherosclerosis \to 0.2019 \to 0.3446[/tex]
[tex]Heart\ attack \to 0.1073\to 0.4519[/tex]
[tex]Infant\ birth \to 0.5481 \to 1[/tex]
Next, we simply plot the reasons (on the x-axis) against the cumulative relative frequency (on the right) and the left of the Pareto chart.
See attachment
Related Questions
convert 122f to Celsius
Answers
Answer:
50°C
Step-by-step explanation:
(122°F − 32) × 5/9 = 50°C
Find the value of x to the nearest tenth
Answers
Answer:
a^2+b^2=c^2
6^2+6^2=72
square root of 72
=8.49(3sf)
c^2-b^2=a^2
=3
x=3
answer : 3
step by step:
this may seem hard but it is easy.
the first thing to do is to look at the bottom of the shape it shows a right triangle that is missing the hypotenuse lets see how to solve for that:
name the hypotenuse x
then write the equation
x^2= 6^2 + 6^2
x^2= 72
take both the square root of them
x = 8.5
next part is the rectangle and we see that it has been split into 2 right triangles which are the same but the cool part is that if we solve for one of the triangles we solve for the other we are going to do the same steps again notice now we are solving for the right angle that's not labeled if we solve that then that means we solve for the other triangle that is labelled x
first off we know that the hypotenuse is 9 and one angle is 8.5 so here is the equation:
x^2 = 9^2 - 8.5^2
x^2 = 8.75
take square root of both
x = 3
Trapezoid A B C D is shifted down and to the left to form trapezoid A prime B prime C prime D prime. Trapezoid A prime B prime C prime D prime is rotated 270 degrees about point B.
What is the final transformation in the composition of transformations that maps pre-image ABCD to image A"B'C"D"?
a translation down and to the right
a translation up and to the right
a 270° rotation about point B'
a 180° rotation about point B'
Answers
Answer:
a 270° rotation about point B'
Answer:
C is correct 270°
Step-by-step explanation:
yuh
Nalani says the expression 3 - 8s cannot be factored using the GCF. Is she correct? Explain why or
why not.
Answers
Answer:
she is correct because there is not common factor of 3 and 8 so it cannot be factored
Step-by-step explanation:
Pythagorean theorem
Answers
Answer:
b=20 yards
Step-by-step explanation:
15^2+x^2=25^2
225+x^2=625
x^2=400
x=20
Answer:
x=20
Step-by-step explanation:
What is the product?
(-282 +8)(502-65)
Answers
Answer:
option c is the answer for pic
and for question the answer is
(-274)*(437)
-119738
Answer:
the first one
Step-by-step explanation:
What is the distance of -55 from zero?
Answers
Answer:
55
Step-by-step explanation:
The answer is 55 as distance is a scalar quantity that means quantities that depend on magnitude and not on direction. Therefore we cannot write - 55 as answer.
Choose the expression that represents “three less than seven times a number
Answers
Answer: 3-7x
Step-by-step explanation: x represents the "a number" portion since it is a variable
Pls Pls Pls help! Simplify the equation: [tex]\sqrt{\frac{1}{9} x^{2}y^{10}[/tex]
Answers
In the figure, KP = 50, KQ = 45, PQ = 38. What is RQ?
Answers
Answer:
18
Step-by-step explanation:
Find the diagram attached
From the diagram
PR + RQ = PQ
PR + RQ = 38
PR = 38 - RQ
using similar triangle;
KQ/RQ = KP/PR
45/RQ = 50/38-RQ
Cross multiply
50RQ = 45(38-RQ)
50RQ = 1710 - 45RQ
50RQ + 45RQ = 1710
95RQ = 1710
RQ = 1710/95
RQ = 18
Hence the length of RQ is 18
what is the ordered pair for the equation -7x+3y=2
Answers
Answer:
Step-by-step explanation:
for what values of x are these functions defined x - 1
Answers
Answer:
The function is defined for all real numbers.
which can be denoted as >> R
What is the factored form of this expression?
4x to the third power– 8x to the second power– 9x+ 18
Answers
X(4x^2-8x-9)+18
help
Sadie needs 3.1 yards to make one costume for each choir member in the play. How much fabric will she need if she has to make 5 costumes?
A.
15.5 yards
B.
10.5 yards
C.
18.6 yards
D.
16.5 yards
Answers
Answer:
A. 15.5 yards
Step-by-step explanation:
3.1 ×5=15.5
The length of a rectangle is six times its width.
If the perimeter of the rectangle is 84 in, find its area.
Answers
Answer:
6yd=W The width of the rectangle is 6 yards. L=6W=6(6yd)=36 yards The length is 36 yards. A=36yd*6yd=216 sq yd ANSWER: The area is 216 square yards...The area of a given rectangle is 216 square inches.
Given that, the perimeter of the rectangle is 84 inches.
We need to find the area of a rectangle.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Let the width of a rectangle be x.
Given, that the length of a rectangle is six times its width. So, length=6x.
Now, 84=2(6x+x)
⇒14x=84
⇒x=6 inches
Then, length=6x=36 inches.
Area of a rectangle= Length×width=36×6=216 square inches
Therefore, the area of a given rectangle is 216 square inches.
To learn more about the area of a rectangle visit:
https://brainly.com/question/20693059.
#SPJ2
What is one way to determine if two fractions are equivalent?
Answers
Answer
Two fractions are equivalent fractions when they represent the same part of a whole. Since equivalent fractions do not always have the same numerator and denominator, one way to determine if two fractions are equivalent is to find a common denominator and rewrite each fraction with that denominator.
Find the value for the side marked below.
Round your answer to the nearest tenth.
61°
135
y
y = = [?]
Answers
Answer:
[tex]65.4[/tex]
Step-by-step explanation:
In any right triangle, the cosine of an angle is equal to its adjacent side divided by the hypotenuse, or longest side, of the triangle.
Therefore, we have:
[tex]\cos 61^{\circ}=\frac{y}{135},\\t=135\cos 61^{\circ}=65.4492987333\approx \boxed{65.4}[/tex]
Find the values of x,y and z
Answers
Step-by-step explanation:
x = 180-106 = 74°
y = x/2 = 74/2 = 37°
4z+6 =106
4z = 100
z = 25°
PT=3x+3 and TQ=6x-6
Use the figure to the right to find the value of PT. T is the midpoint of PQ
Answers
Answer:
PT = 12 units
Step-by-step explanation:
Given that,
PT=3x+3 and TQ=6x-6
T is the midpoint of PQ.
If T is mindpoint of PQ, it means,
PT = TQ
Substitute all the values,
3x+3 = 6x-6
Taking like terms together,
3x-6x = -6-3
-3x = -9
x = 3
So,
PT = 3x+3
= 3(3) + 3
= 9+3
= 12
So, the value of PT is equal to 12 units.
what is the area of the irregular polygon shown below?
Answers
this contain two triangle and one rectangle
therefore total area = 2×area of triangle + area of rectangle
then refer the attachment
If A = {x x is an even integer), B = {xx is an odd integer), C = {2, 3, 4, 5), and D = {8, 9, 10, 11), list the element(s) of the following set.
AND
An D= { } (Use a comma to separate elements in the set.)
Answers
Answer:
AnD = {8,10}
Step-by-step explanation:
A = {2, 4, 6, 8 ,10 ...}
B = {1, 3, 5, 7 ,9 ...}
C = {,2 ,3 ,4 ,5 ...}
D = { 8, 9 ,10 ,11 ...}
AnD = {8, 10}
Find the volume of the prism.
Answers
Volume of prism= 3.024 yd^3
Explanation: Volume= L x W x H
What is the complementary number of 16
I
Answers
Answer:
2
Step-by-step explanation:
The graph of g(x) resembles the graph of f(x) = x2, but it has been changed.
Which of these is the equation of g(x)?
Answers
Answer:
B. g(x)=x²-3 b is my answer
how to convert 15 cm to mm
Answers
15cm x 10 = 150mm
the data below shows.the number of car thefts in a city for a period of 20 days. complete parts (a) and (b) below.
a. draw an ordered stem and leaf plot for the data.
b. revealed when answer a is complete.
Answers
Answer:
13 cars per day
Step-by-step explanation:
64 - 51 = 13 cars per day
hope it helps
Hellpppp I’m stuck......
Answers
I’m just gonna guess but I think 6
Vertical angles are angles that congruent and opposite of each other
Identify the location of the point (-3, -2).
Answers
What is
(481x10")(1.1x 10-4) in scientific notation?
5.291x 10-64
5.291x10
5.291x1012
5.291x1020
Answers
Answer:
5.291 * 10^4
hhhhhhhhhhhhhhhhh
HELP HELP, HELP NEEDED!!!!!!!!!!!
Answers
Answer:
x=-3
Step-by-step explanation:
because f(x) is "y" now because y is 6 if you look properly where the coordinate of y is 6 x is -3
