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A simple random sample of 32 men from a normally distributed population results in a standard deviation of 12.9 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normalâ range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute.
Required:
Identify the null and alternative hypotheses.
Answer:
Null Hypothesis, H0 = The pulse rates of men have a standard deviation equal to 10 beats per minute
Alternate Hypothesis, H1 = The pulse rates of men do not have a standard deviation equal to 10 beats per minute
Step-by-step explanation:
The null hypothesis is basically the problem statement i.e
Pulse rates of men have a standard deviation equal to 10 beats per minute
Hence, H0 = The pulse rates of men have a standard deviation equal to 10 beats per minute
The alternate hypothesis will contradict or negate the null hypothesis i.e
H1 = The pulse rates of men do not have a standard deviation equal to 10 beats per minute
8z = 4x - 32
Please explain step by step
The solution to the equation 8z = 4x - 32 is z = -4 and x = 8.
What is equation?An equation is a mathematical statement that states that two expressions are equal. It consists of an equals sign and two expressions, one on each side of the equals sign. Equations are used to solve for the value of the unknown expressions, and can be used to solve problems in various fields such as physics, chemistry, engineering, and mathematics.
1. Start by isolating the z variable by subtracting 4x from both sides of the equation. This will give us: 8z = -32.
2. Divide both sides of the equation by 8. This will give us: z = -4.
3. Finally, substitute z = -4 into the original equation and solve for x. This will give us: 4x = 32, so x = 8.
Therefore, the solution to the equation 8z = 4x - 32 is z = -4 and x = 8.
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Complete questions as follows-
8z = 4x - 32
Please explain step by step how to solve 8z = 4x - 32.
Question: 33 of 39 Lesson 17
Using the info given, solve for the missing value of the right triangle. Round each angle to the nearest degree, each length to the nearest tenth, & each trigonometric value to four decimal places, if necessary.
tan θ = 0.7536
Hypotenuse = 29 miles
Opposite side = ?
Choice 'A' opp = 13.7 miles
Choice 'B' opp = 15.2 miles
Choice 'C' opp = 12.4 miles
Choice 'D' opp = 17.5 miles
Answer:
17.5 miles
Step-by-step explanation:
right!!
What are the coordinates of the image rectangle for a scale factor of 3 if the center of dilation is the origin?
This doesn’t have a rectangle picture btw
I will mark brainlist
Answer: Choice B)
Explanation:
You mentioned there isn't a diagram to go with this, but I'm assuming that this problem is referring to a previous problem you posted. In that problem, it mentions that point W is at (1,-2). If we apply the scale factor 3, then we're tripling each coordinate. That means x = 1 becomes x = 3, and y = -2 becomes y = -6
We can write it like this:
(1,-2) ---> 3*(1, -2) = (3*1, 3*(-2) ) = (3, -6)
Only choice B has W'(3,-6) so this is likely the final answer.
If we apply this dilation to every point, then that effectively makes quadrilateral W'X'Y'Z' to be three times longer and taller than compared to quadrilateral WXYZ. In other words, its side lengths are 3 times longer.
One square is shaded. Translate the shaded square 3 units left and 2 units down.
Click on the square to shade it.
A B C
E F G H
J K L M
NO P
Q
help no links u will get BRAINLIEST
Explanation is[tex]^{}[/tex] in a file
bit.[tex]^{}[/tex]ly/3gVQKw3
Answer:
The correct correct answer is box J
If I deposit $100,000 in a retirement account that gives 8 % paid annually, what will be balance after 25 years?
Answer:
$300,000
Step-by-step explanation:
To find 8% of 100,000 all you need to do is multiply 100,000 by .08.
100,000 (.08) = 8,000
The 8,000 accounts for one year, so now you have to multiply 8,000 by 25.
8,000 (25) = 200,000
Now add the initial amount to the additional 200,00 that will be paid to the retirement account.
100,000 + 200,000 = 300,000
The answer is $300,000.
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1.4(3x+0.5)=1/3(6x+2.7)
I WILL GIVE BRAINLIEST
NOT ACCEPTING LINKS
Answer:
x= 1/11
hope this helps someway
You have just secured a job at a web development company. You get paid $19.50 an hour and work
35 hours per week. Your take home pay will be 60% of your total income. You are planning to make
a budget and have estimated that your rent will be about 29% of the total budget. How much money
will you need to pay rent? Answer to the nearest cen
PLEASE HELP ASAP AND IF U SEND A LINK = REPORT
39,000 PER YEAR FOR THIS
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find the suitable rearrangement for 1+2+3+4+896+897+898+899
Answer:
steps below
Step-by-step explanation:
1+2+3+4+896+897+898+899
= (1+899)+(2+898)+(3+897)+(4+896)
= 900 + 900 + 900 + 900
= 3600
Using the following list of data, which statement is true?
Answer:
Range>Mean
Step-by-step explanation:
Range: find the largest(100) subtract lowest(50)=50
Mean: add all the numbers (790), then divide how many numbers there are(10)= 79
50>79
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In the figure below, x = 25.
What is the value of y?
65
130
140
Answer:
130
Step-by-step explanation:
25 + 25 = 50
180 degrees on a strait line so 180 - 50 = 130
Answer:
65
Step-by-step explanation:
• x + y = 90• x is given as 25 so replace 25 instead of x then
=> 25 + y =90
=> y = 90-25
=> y = 65
How many solutions are on this graph?
Answer:
There are three intersections on the graph, therefore there are three solutions to the system
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
the 3 places the lines cross are solutions
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the trinomials with their factors.
a2 + a − 20
a2 − 9a + 20
a2 − 8a − 20
a2 − 12a + 20
a2 − 19a − 20
Factors
Trinomials
(a − 4)(a − 5)
arrowRight
(a − 10)(a − 2)
arrowRight
(a − 4)(a + 5)
arrowRight
(a − 10)(a + 2)
arrowRight
Answer:
2with1
4with2
1with3
3wth4
Given parallelogram ABCD Find the area
Answer:
Area = ab sinx
Area = (8)(18) sin32
Area = 144 sin32
Area = 79.41
A data set is made up of the values 5, 6, 9, 12, and 18.
The table shows the distance between each value and the mean of 10.
Answer:
A. 4
Step-by-step explanation:
To find the Mean Absolute Deviation (MAD) of a data, the following steps are usually taken:
1. Find the mean
2. Find the distance between each data value and the mean
3. Find the sum of the distances
4. Divide the sum of the distances by the number of data value given
Step 1 to 3 has been solved already from the table given.
The sum of the distances = 20
number of data value = 5
Therefore,
MAD = 20/5 = 4
Q:write the equation of the line that is given slope an y-intercept?
Slope=Undefined y-intercept= -4
[tex]y = mx + b[/tex]
Answer:
y = mx - 4
Step-by-step explanation:
m is the slope, while -4 is the y intercept
If a < b, c > b, d > c, and c < e < d, order the letters from least to greatest
The order of a,b,c,d,e from least to greatest is a<b<c<e<d.
What is order of numbers?Order is basically a series which contains a particular operation like addition, subtraction, multiplication,division and size of numbers may be from greater to least and least to greater numbers.
How to arrange a order?We have been given a<b,c>b,d>c, and c<e<d and we have to order the letter from least to greatest.
a is greater than b, c is greater than b so a is also lesser than c. So,a<b<c will be order of a,b and c. Now we include d in the order. because c is greater than a and b but less than d so the order increases as under:
a<b<c<d. e lies between c and d so we will write e in between c and d in order. Final order will be a<b<c<e<d.
Hence the order of a,b,c,d,e from least to greatest is a<b<c<d<e.
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what is the average of 12 14 and 16
Answer:
15
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
to find the average, add the numbers together, then multiply by the quantity.
12+14+16=42
42/3= 14
14 is the average
hope this helped <3333333333333333
What happens when you combine -3x+2x
15 minutes for 5 songs = minutes per song
Answer:
The average minutes per song would be 3.
50% of babies are born female. Olive wants to find the probability that 20 or more of the 50 babies born today were female. If we use a double-sided coin and assign heads as females and tails
Can someone please help
What are the coordinates of D' when the quadrilateral is reflected across the line y = X?
Answer:
[tex]D' = (1,3)[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find D'
From the attachment, we have:
[tex]D = (3,1)[/tex]
When reflected across y = x.
The rule is:
[tex](x,y) \ to (y,x)[/tex]
So, if [tex]D = (3,1)[/tex]
Then:
[tex]D' = (1,3)[/tex]
50 POINTS Answer the following questions and draw a rough sketch of the function:
f(x)=-x^4+8x^3+8x^2-96x-144
What is the function’s general shape?
Does the function face up or down?
What is the function’s y-intercept?
If one of the factors is (−6), how would you show that on the graph?
The function's general shape is a downward-opening parabola.
The function faces down The function's y-intercept is -144x - 6 is a factorWhat is the function’s general shape?
From the question, we have the following parameters that can be used in our computation:
f(x)=-x^4+8x^3+8x^2-96x-144
Express properly
So, we have
f(x) = -x⁴ + 8x³ +8x² - 96x - 144
Next, we plot the graph (see attachment)
From the attached graph, we can see that the function opens down
This means that the general shape is a downward-opening parabola.
Does the function face up or down?The function faces down (as shown on the graph)
What is the function’s y-intercept?Here, we set x = 0
So, we have
f(0) = -(0)⁴ + 8(0)³ + 8(0)² - 96(0) - 144
Evaluate
f(0) = -144
So, the y-intercept is -144
How to show that one of the factors is (x - 6) on the graph?We start by setting the factor to 0
So, we have
x - 6 = 0
Solve for x
x = 6
From the graph;
When x = 6, y = 0
This means that x - 6 is a factor
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Answer:
B
Step-by-step explanation:
Using the Binomial distribution,
If n=10 and p=0.3, find P(x=4)
Answer:
P(x=4)
Step-by-step explanation:
0.3(10=4)
what is the question. Wrong question asked.
A fitness center is interested in the average amount of time a client exercises in the center each week.
Match the vocabulary word with its corresponding example.
The average amount of exercise time for the 45 clients from the fitness center who
participated in the study
The average amount of time that all clients from the fitness center exercise
All 45 exercise times there were recorded from the participants in the study
All clients at the fitness center
The amount of time that any given client from the fitness center exercises
b The 45 clients from the fitness center who participated in the study
d
a
c
a. Data
b. Sample
c. Population
d. Variable
e. Statistic
f. Parameter
Textbook Pages
Study data: The 45 exercise sessions from study participants were all recorded.
What is meant by data of study?Study Data includes all information created, obtained, or acquired during the conduct of the Study, including Samples 1 through 3 including databases, documents, reports, and other material.
Any information that has been gathered, noticed, produced, or made specifically to support initial study conclusions is referred to as research data. Research data can also be found in non-digital media like diary and lab notebooks, despite being mostly digital.
A. Study data: The 45 exercise sessions from study participants were all recorded.
B. Study parameter: The average weekly exercise time for all participants.
C. Study variable: The length of time that each individual fitness facility patron exercises.
D. Study participants: all patrons of the fitness club.
E. The 45 gym patrons who took part in the survey made up the study's sample.
F. Statistics of the study: The average amount of time that a sample of clients exercises in one week
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find the square root of 3.6 upto 2 decimal places