A cardiologist is interested in the average recovery period for her patients who have had heart attacks. Match the vocabulary word with its corresponding example.
-
The average recovery time for all heart attack patients that the cardiologist has or will treat
-
All heart attack patients that the cardiologist has cared for or will care for in the future
-
The average recovery time for the 32 heart attack patients
-
The 32 heart attack patients who were observed by the cardiologist
-
The list of all 32 heart attack patients' recovery times
-
The recovery time for a heart attack patient
Answer: See explanation
Step-by-step explanation:
1. The average recovery time for all heart attack patients that the cardiologist has or will treat. = Parameter
2. All heart attack patients that the cardiologist has cared for or will care for in the future = Population.
3. The average recovery time for the 32 heart attack patients = Statistics
4. The 32 heart attack patients who were observed by the cardiologist = Sample
5. The list of all 32 heart attack patients' recovery times = Data
6. The recovery time for a heart attack patient. = Variable
U.S. women aged 20 or over have a mean HDL cholesterol levels of 55mg/dl with a standard deviation of 15 mg/dl. Assume that the distribution is Normal. What proportion of women have HDL below 45 mg/dl or less?
Answer:
0.2514 = 25.14% of women have HDL below 45 mg/dl or less.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean HDL cholesterol levels of 55mg/dl with a standard deviation of 15 mg/dl.
This means that [tex]\mu = 55, \sigma = 15[/tex]
What proportion of women have HDL below 45 mg/dl or less?
This is the p-value of Z when X = 45. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{45 - 55}{15}[/tex]
[tex]Z = -0.67[/tex]
[tex]Z = -0.67[/tex] has a p-value of 0.2514
0.2514 = 25.14% of women have HDL below 45 mg/dl or less.
A sphere has a radius of 7.9 cm. Calculate the spheres volume. Use 3.14 and don't round.
Answer:
[tex]\displaystyle V = 2064.19 \ cm^3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Sphere Formula: [tex]\displaystyle V = \frac{4}{3} \pi r^3[/tex]
r is radiusStep-by-step explanation:
Step 1: Define
Identify variables
r = 7.9 cm
Step 2: Find Volume
Substitute in variables [Volume of a Sphere Formula]: [tex]\displaystyle V = \frac{4}{3}(3.14)(7.9 \ cm)^3[/tex]Evaluate exponents: [tex]\displaystyle V = \frac{4}{3}(3.14)(493.039 \ cm^3)[/tex]Multiply: [tex]\displaystyle V = 2064.19 \ cm^3[/tex]What is the result of subtracting the second equation from the first
I didn’t undertand the question... mayb ur attachment isnt added! Plz check!
A local running group collected data on the number of miles its group members run each week, x, and their average mile time, y. The results are shown in the table below. Weekly Mileage, x 10 25 12 10 15 20 22 25 20 24 Avg. Mile Time, y 9.3 8.75 8.2 5.5 6.3 8.5 6.7 6.35 5.45 6.25 Calculate the correlation coefficient using technology and interpret what it represents. The correlation coefficient of the data is -0.13, which means as the weekly mileage increases, the average mile time decreases. The correlation coefficient of the data is 0.87, which means as the weekly mileage increases, the average mile time increases. The correlation coefficient of the data is 0.87, which means as the weekly mileage increases, it has no affect on the average mile time. The correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.
Answer:
The correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.Step-by-step explanation:
The correlation coefficient of a data set describes how closely related two variables are. Correlation coefficients close to positive 1 show a strong positive correlation, while correlation coefficients close to negative 1 show a strong negative correlation. When a correlation coefficient is close to 0, it shows no correlation between the data.
For the given data set, calculate the correlation coefficient using technology.
This r-value is closer to 0 then it is to -1. Thus, the correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.
Answer:
The correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.Step-by-step explanation:
The correlation coefficient of a data set describes how closely related two variables are. Correlation coefficients close to positive 1 show a strong positive correlation, while correlation coefficients close to negative 1 show a strong negative correlation. When a correlation coefficient is close to 0, it shows no correlation between the data.
For the given data set, calculate the correlation coefficient using technology.
This r-value is closer to 0 then it is to -1. Thus, the correlation coefficient of the data is -0.13, which means as the weekly mileage increases, it has no effect on the average mile time.
Find the center and radius of x^2 + y^2 +6x - 7=0
Answer:
The center (-3, 0)
9514 1404 393
Answer:
center: (-3, 0)radius: 4Step-by-step explanation:
The desired parameters can be found by putting the equation into the standard form for the equation of a circle:
(x -h)^2 +(y -k)^2 = r^2 . . . . . circle centered at (h, k) with radius r
The values of h and k will be half the coefficients of the linear x- and y-terms, respectively.
x^2 +6x +9 +y^2 -7 = 9 . . . . . add 9 to complete the square
(x +3)^2 +y^2 = 16 . . . . . . . . . add 7 to get the desired form
This equation shows us (h, k) = (-3, 0) and r = 4.
The center is (-3, 0), and the radius is 4.
Choose all of the symbols that make the following sentence true.
4 ^0 ___ 5 ^-1
=
<
≥
≤
≠
>
Answer:
≠ and >
Step-by-step explanation:
_________________
Can y’all help me on question 18?!
Answer:
The answer is 220 cubic inches.
Step-by-step explanation:
To find the volume of the rectangular prism, use the formula for a rectangular prism, which is V= LWH. Next, plug in the information given from the question, and the formula will look like V= (10in) ([tex]5\frac{1}{2}[/tex] in) (4in).
Then, solve the equation for the answer, and the answer for the volume of the rectangular prism is 220 cubic inches.
Last year, nine employees of an electronics company retired. Their ages at retirement are listed below in years. Find the mean retirement age.56 65 62 53 68 58 65 52 56
Answer:
59.44
Step-by-step explanation:
Nine employees If an electronic company retired last year
The retirement ages are listed below
56, 65, 62, 53, 68, 58, 65, 52, 56
The mean retirement age can be calculated as follows
= 56+65+62+53+68+58+65+52+56/9
= 535/9
= 59.44
Hence the mean retirement age is 59.44
Help me out plsssssss
Answer:
125
Step-by-step explanation:
the bearing of b to a is equal to 85+45
pls help for both 12 and 13!!
Answer:
The answer to 12 is 40 cubic units
Step-by-step explanation:
Please help !!!!!!!!!!!!!!!!!
Given that f(x) = x2 – 3x – 28 and g(x) = x - 7, find
(f - g)(x) and express the result in standard form.
Answer:
[tex](f-g)(x)=x^2-4x-21[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=x^2-3x-28\text{ and } g(x)=x-7[/tex]
And we want to find:
[tex](f-g)(x)[/tex]
This is equivalent to:
[tex]=f(x)-g(x)[/tex]
Substitute:
[tex]=(x^2-3x-28)-(x-7)[/tex]
Distribute:
[tex]=x^2-3x-28-x+7[/tex]
Rearrange:
[tex]=(x^2)+(-3x-x)+(-28+7)[/tex]
Hence:
[tex](f-g)(x)=x^2-4x-21[/tex]
HELP ME PLEASEEEEEEEEEEEEEEEEE
Answer:
x
Step-by-step explanation:
f([tex]f^{-1}[/tex](x))
Lets work the brackets first!
[tex]f^{-1}[/tex](x)
To solve we are going to find the inverse of the function.
[tex]f^{-1}[/tex](x)
f ⇔ y
∴ y = x
Interchange x and y
x = y
Solve for y
y = x
∴ [tex]f^{-1}[/tex](x) = x
Now let's solve the rest of the equation.
f(x) = x
∴ f([tex]f^{-1}[/tex](x)) = x
What is the product of the polynomials below?
(4x2 - 2x - 4)(2x + 4)
A. 8x? +12x-16-16
B. Bx+12x? - 16X-8
C. 8x +12x2 - 8x-16
O D. Bx° +12x2 - 8x-8
I need the steps if possible:)
Answer:
3/6=1/2
Step-by-step explanation:
There are 3 ways you can roll an even number on a 6-sided die: 2, 4, and 6
Therefore, the probability of rolling an even number is 3/6 or 1/2.
Find the domain and range of the function y = √x-3 + 6
Answer:
Domain: [tex][3,\infty)[/tex]
Range: [tex][6,\infty)[/tex]
Step-by-step explanation:
I assume you mean [tex]y=\sqrt{x-3} +6[/tex]?
Take note of how x cannot be less than 3 because it would result in a negative number under the radical, which isn't real. However, x CAN be 3 because [tex]\sqrt{3-3}+6=\sqrt{0}+6=0+6=6[/tex] which is real.
Therefore, the domain of the function is [tex][3,\infty)[/tex]
As for the range of the function, we saw previously that the minimum of the domain resulted in the minimum of the range, which was 6.
Therefore, the range of the function is [tex][6,\infty)[/tex]
See attached graph below for a visual.
Paul signs up for a new cell phone plan. He is offered a discount for the first five months. After this period, his rate increases by $8.50 per month. His total cost at the end of the year is $245.50. Paul wrote the following equation to represent his plan. 5x + 7(x + 8.50) = 245.50
Answer:
The first 5 months Paul paid $ 15.50, and in the next 7 months he paid $ 24.
Step-by-step explanation:
Since Paul signs up for a new cell phone plan, and he is offered a discount for the first five months, and after this period, his rate increases by $ 8.50 per month, and his total cost at the end of the year is $ 245.50, and Paul wrote the following equation to represent his plan: 5x + 7 (x + 8.50) = 245.50; To determine the value of X, the following calculation must be performed:
5X + 7 x (X + 8.50) = 245.50
5X + 7X + 59.50 = 245.50
12X + 59.50 = 245.50
12X = 245.50 - 59.50
12X = 186
X = 186/12
X = 15.50
Therefore, the first 5 months Paul paid $ 15.50, and in the next 7 months he paid $ 24.
PLZZZZZZZZZZZZZZZ HELP ME WITH THIS!!!
Elena and Diego each wrote an equation to represent the following diagrams. Decide which equation you agree with. And, you must provide your explanations in order to receive the points. You need to solve the equation you agree with. Finally, you need to describe, in words, the process you would use to find the missing values. You can assume that angles that look like right angles are indeed right angles.
1. Elean: w+148=180 , Diego: x+90=148.
We know that angle BKC=148 degrees.
I agree with : ( Elena / Diego /Both of them) .
Because:
Describe, in words, the process you would use to find the missing values:
Answer:
I agree with Elena. See explanation below.
Step-by-step explanation:
A right angle is equal to 90 degrees.
A straight line is equal to 180 degrees.
Elena: w + 148 = 180
Elena's equation is correct because 148 degrees is represented by variable k. When adding variable k and w together, they form a straight line which is equiavlent to 180 degrees. By using this equation, Elena can solve for w after isolating the variable:
w + 148 = 180
w + 148 - 148 = 180 - 148
w = 32 degrees
Diego: x + 90 = 148
Diego is incorrect. He added 90 degrees because of the right angle, but he failed to realize that x is within 90 degrees, meaning he would either have to subtract x from 90 degrees or add both x and w to get to 90 degrees. He cannot solve for x or w by using this equation.
To solve for x, add both w and x to get 90 degrees. Since Elena showed us w equals 32 degrees, we can set up an equation:
w + x = 90
32 + x = 90
32 - 32 + x = 90 - 32
x = 58 degrees
the product of 2 numbers, p and q, decreased by 3 times their sum. (as an algebraic expression)
Answer:
3 - (p*q) im not sure lol
Step-by-step explanation:
if jane give £2 pounds to charlotte they will have equal amount of money. instead
charlotte give £4 to jane the ratio of jane's money to charlotte will be 2:1. how much
do jane and charlotte each have to start with
in a system of equations why is the intersection the solution
9514 1404 393
Answer:
It satisfies both equations.
Step-by-step explanation:
The points on the graph of an equation are the values of the variables that satisfy the equation (make it true).
In a system of equations, you're generally looking for values of the variables that satisfy all of the equations in the system. That is, the solution will be a point on the graph of every equation in the system.
For a point to be on more than one graph, it must lie at a point of intersection of the graphs. If all of the graphs of a system go through the point of intersection, that point satisfies all of the equations, so is a solution of the system of equations.
Find the value of x.
9514 1404 393
Answer:
103
Step-by-step explanation:
The sum of angles in a quadrilateral is 360°, so the measure of x° is ...
x° = 360° -127° -90° -40° = 103°
x = 103
Answer:
The measure of x is 103 °.
Step-by-step explanation:
Concept :- As we know that sum angles of quadrilateral is 360 ° so, to find the measure of x.
Firstly add all the angles that we have given and subtract from 360 ° and we get the vue of x.
Solution :-We know that The sum angles of quadrilateral is 360 ° , Hence, value of x =
x + 127 ° + 90 ° + 40 ° = 360 °
x + 257 ° = 360 °
Subtract 257 ° from 360 °
x = 360 ° - 257 °
x = 103 °
Therefore, The measure of x is 103 °.
graph the line with intercept 6 and slope
[tex] - \frac{3}{2} [/tex]
Given:
The y-intercept of a line = 6
The slope of the line = [tex]-\dfrac{3}{2}[/tex]
To find:
The graph of the given line.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex]
Where, m is the slope and b is the y-intercept.
Putting [tex]m=-\dfrac{3}{2}[/tex] and [tex]b=6[/tex] in the above equation, we get
[tex]y=-\dfrac{3}{2}x+6[/tex]
At [tex]x=0[/tex],
[tex]y=-\dfrac{3}{2}(0)+6[/tex]
[tex]y=0+6[/tex]
[tex]y=6[/tex]
At [tex]x=2[/tex],
[tex]y=-\dfrac{3}{2}(2)+6[/tex]
[tex]y=-3+6[/tex]
[tex]y=3[/tex]
Plot these two points (0,6) and (2,3) on a coordinate plane and connect them by a straight line to get the graph of the required line.
The required graph is shown below.
Jill went on 8 hikes. The hikes were 6 miles, 4 miles, 2 miles, 3 miles, 7 miles, 5 miles, and 1 mile. What was the range of the lengths of Jill's hikes? :)
Answer:
range is 6
Step-by-step explanation:
The smallest number in this data set is 1 mile, the largest is 7 miles
the range is the difference between the biggest and smallest number so 7-1 = 6. The range is 6
During a sale, a store offered a 15% discount on a couch that originally sold
for $800. After the sale, the discounted price of the couch was marked up by
15%. What was the price of the couch after the markup? Round to the nearest
cent.
Answer:
t think the answer is 1040.
im in need of help for this problem (listing BRAINLIST and giving points) :)
I hope this is help full to you
Help ASAP 100 PTS!!!!
Describe how to determine the average rate of change between x = 1 and x = 3 for the function f(x) = 3x3 + 1. Include the average rate of change in your answer. Please show all work and explain it thourougly.
Answer:
39
Step-by-step explanation:
Find the value of f(x) at both points
f(3) = 3(3)³ + 1 = 82
f(1) = 3(1)³ + 1 = 4
---------------------------
Average Rate of Change is just like slope
Divide the change in f(x) by the change in x
r = (82 - 4) / (3 - 1)
r = 78/2
r = 39
Find a function whose graph is a parabola with vertex (1, −2) and that passes through the point (5, 14)
Answer:
[tex]f(x)=(x-1)^2-2[/tex]
Step-by-step explanation:
Equation of a parabola:
[tex]y=a(x-h)^2+k[/tex]
The vertex is given as [tex](h,k)[/tex] -> [tex](1, -2)[/tex]
Plug in both the given point and vertex to find the value of [tex]a[/tex]:
[tex]y=a(x-h)^2+k[/tex]
[tex]y=a(x-1)^2-2[/tex]
[tex]14=a(5-1)^2-2[/tex]
[tex]14=a(4)^2-2[/tex]
[tex]14=16a-2[/tex]
[tex]16=16a[/tex]
[tex]1=a[/tex]
[tex]a=1[/tex]
Therefore, the final function is [tex]f(x)=(x-1)^2-2[/tex]
See attached graph below for a visual of the function.
4 is a common factor of 28 and 32.
O A. True
O B. False
Answer:
True
Step-by-step explanation:
Answer:
Your answer is B
Step-by-step explanation:
