The probability that the proportion surviving for at least five years will exceed 80% in a simple random sample of 100 new dialysis patients is approximately 0.0630 (rounded to 5 decimal places).
What is probability?
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.
We can model the proportion surviving for at least five years in a sample of dialysis patients as a binomial random variable with parameters n = 100 (sample size) and p = 0.73 (probability of survival).
The sample proportion of patients surviving for at least five years is a random variable given by -
\(\hat{\rho}\) = X/n
where X is the number of patients surviving for at least five years in the sample.
The expected value and standard deviation of the sample proportion are given by -
E(\(\hat{\rho}\)) = p = 0.73
SD(\(\hat{\rho}\)) = sqrt[p(1-p)/n] ≈ 0.0458
To find the probability that the proportion surviving for at least five years will exceed 80%, we standardize the sample proportion as follows -
(z-score) = (\(\hat{\rho}\) - p) / SD(\(\hat{\rho}\))
(z-score) = (0.80 - 0.73) / 0.0458 ≈ 1.53
Using a standard normal distribution table or calculator, we find that the probability of a standard normal variable exceeding 1.53 is approximately 0.0630.
Therefore, the probability that the proportion surviving for at least five years will exceed 80% in a simple random sample of 100 new dialysis patients is approximately 0.0630 (rounded to 5 decimal places).
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some adults and children are watching a musical there are n children there are 25 fewer adults
According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99
A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.
B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.
To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.
Note: The given question is incomplete. The complete question is:
Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.
A) find the number of adults in terms of 'N'.
B) if there are 124 children how many adults are there?
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For the given pair of events A and B, complete parts (a) and (b) below. A: When a page is randomly selected and ripped from a 29-page document and destroyed, it is page 15. B: When a different page is randomly selected and ripped from the document, it is page 24.
Required:
a. Determine whether events A and B are independent or dependent. (If two events are technically dependent but can be treated as if they are independent according to the 5% guideline, consider them to be independent.)
b. Find P(A and B), the probability that events A and B both occur
Answer and Step-by-step explanation:
In probability, events are dependent when the probability of the first event ocurring influences the outcome of the second event.
a. For events A and B, after ripping one page, it is destroyed, so the total number of pages changed. Therefore, events A and B are dependent.
b. To find the probability of both events happening, first, determine the probabilities of each event:
P(A) = \(\frac{1}{29}\)
P(B) = \(\frac{1}{28}\)
P(A and B) = \(\frac{1}{29}.\frac{1}{28}\)
P(A and B) = \(\frac{1}{812}\)
Probability of A and B occur is 0.12% or \(\frac{1}{812}\).
. A hotel elevator is on the 14th floor. If it goes up 5 floors, then goes down 8 floors, what floor is it now on?
Find the maximum and minimum points of the function y = –2 cos (x + π/2) + 1.
The maximum and minimum points of the function are (a) (3π/2, -1) (-π/2, -1), (π/2, 3)
How to determine the maximum and minimum points of the function?From the question, we have the following function that can be used in our computation:
y = –2 cos (x + π/2) + 1.
Calculating the maximum
Here, we have
y = –2 cos (x + π/2) + 1.
Next, we plot the graph of the function
From the graph of the function, we have the maximum points to be (π/2, 3)
Calculating the minimum
Here, we have
y = –2 cos (x + π/2) + 1.
Next, we plot the graph of the function
From the graph of the function, we have the minimum points to be
(3π/2, -1) (-π/2, -1)
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If a person travels 440 meters in 11 seconds, what is the average speed of the person?
Step-by-step explanation:
speed=distance÷time
A.V.S=440÷11=40m/s
hope it helps.. Please mark brainliest.
Answer:
40 m/s
Step-by-step explanation:
Find:
We are asked to find the unit rate, How many meters per 1 second?
Know:
440 meters in 11 seconds
Solve:
440 meters in 11 seconds
? meters in 1 second
440/11 = 40 meters per second
Answer:
The average speed of the person is 40 m/s
Find the area AND perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations).
Answer:
a=40+8pi, p=4pi+4(sqrt of 29)
Step-by-step explanation:
rsm geometry class 122?
The cashier counts 80 bills, all with the same value. She gets a total of $800. What is the value of each bill?
help
The temperature in a hotel is 21 °C.
The temperature in the hotel is 26,7°C warmer than at the top of the mountain.
The temperature at the top of the mountain is 3.2°C colder than at the bottom of the mountain.
Work out the temperature at the bottom of the mountain.
The temperature at the bottom of the mountain is 50.9 °C.
Let's work through the given information step by step to find the temperature at the bottom of the mountain.
The temperature in the hotel is 21 °C.
The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.
Let's denote the temperature at the top of the mountain as T_top.
So, the temperature in the hotel can be expressed as T_top + 26.7 °C.
The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.
Let's denote the temperature at the bottom of the mountain as T_bottom.
So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.
Now, let's combine the information we have:
T_top + 26.7 °C = T_bottom - 3.2 °C
To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:
T_bottom = T_top + 26.7 °C + 3.2 °C
T_bottom = T_top + 29.9 °C
Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:
T_bottom = 21 °C + 29.9 °C
T_bottom = 50.9 °C
Therefore, the temperature at the bottom of the mountain is 50.9 °C.
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The initial number of bacteria cells in a culture is 1000, and this number increases by 6% every hour. Approximately how many bacteria would be in the culture after 4 hours?
Answer:
1,264
Step-by-step explanation:
a = 1000(1.06)^4
a = 1,262.47696
1,264
Jan’s family has 3/4 of a cake left. How many members of her family can get 1/4 of what is left?
Answer:
3
Step-by-step explanation:
3/4 divided by 1/4 equals 3
Answer:
3
Step-by-step explanation:
3/4 is currently left
Subtract 1/4 by 3/4 until nothing is left
The number you get is 3 therefore the answer is 3
An eqiation is show 5x + 3x = 5x + 15/2what value of 3x make the equation true
15/2
1) Let's evaluate that for 3x
5x + 3x = 5x + 15/2 Subtract 5x in both sides
3x = 5x -5x +15/2
3x = 15/2
2) Therefore, the answer to that question is 15/2. Take a look at this proof
5x + 3x = 5x + 15/2
5x + 15/2 = 5x + 15/2 True.
Hence, 3
a soccer ball is 15 feet from the goal. The angle of elevation from the soccer ball to the top of the goal crossbar is 34. How far will Megan have to kick the soccer to hit the crossbar?
Answer:
18.1 feet
Step by step explanation:
You want to know how far Megan will have to kick a soccer ball to hit the crossbar of the goal when she is 15 feet from the goal and the angle of elevation to the crossbar is 34°.
CosineTo answer this question, we need to use the trigonometric formula, cos(angle of elevation) = adjacent/hypotenuse. In this case, we can solve for the hypotenuse (distance to be kicked) since the angle of elevation is given as 34° and the adjacent side (distance from the soccer ball to the goal) is given as 15 feet.
cos(34°) = (15 feet)/(distance to be kicked)
(distance to be kicked) = (15 feet)/cos(34°) ≈ (15/0.829) feet ≈ 18.1 feet
This gives us a distance of approximately 18.1 feet that Megan will have to kick the soccer ball to hit the crossbar.
Megan has tο kick the sοccer ball abοut 9.43 feet tο hit the tοp οf the gοal crοssbar.
What is Trigοnοmetric ratiοs?The right-angled triangle's angle and the ratiο οf its twο side lengths are related by the trigοnοmetric functiοns, which are actual functiοns.
We can fοrm a right triangle with the sοccer ball, the tοp οf the gοal crοssbar, and a pοint directly belοw the tοp οf the gοal crοssbar (which we will call pοint A).
The angle οf elevatiοn frοm the sοccer ball tο the tοp οf the gοal crοssbar means that angle A is 34 degrees.
We alsο knοw that the distance between the sοccer ball and pοint A is 15 feet.
Using trigοnοmetry, we can find the length οf AB:
tan(A) = οppοsite/adjacent
tan(34) = AB/15
AB = 15 * tan(34)
AB ≈ 9.43 feet
Therefοre, Megan has tο kick the sοccer ball abοut 9.43 feet tο hit the tοp οf the gοal crοssbar.
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what is 1/2 / 3 1/6 equal to pls help me
Answer:
3/19
Step-by-step explanation:
1/2 ÷ 3 1/6
= 1/2 ÷ 19/6
= 1/2 * 6/19
= 6/38 = 3/19
ABCD∼EFGH
The value of x is
Answer
didn't know there was an image
Find f(-3) if f(x) = x 2.
so cunfusing, im horrible at math
I'm not sure what that " x 2 " means.
If it means 2x, then f(-3) = -6 .
If it means x-squared, then f(-3) = 9 .
3
y + yz + z + y use y = -2, and z = 6
Suppose that a speculator notes that the current three-months forward rate on the euro is
$1.36 and the speculator expects that, in three months, the euro will have a value of
$1.40. In this situation, the speculator would ________ euros on the forward market,
and this activity ________ for the speculator.
4) _______
A) sell; involves no possible risk B) buy; involves risk
C) buy; involves no possible risk D) sell; involves risk
The correct option is (B) buy; which involves risk
Suppose that a speculator notes that the current three-month forward rate on the euro is$1.36 and the speculator expect that, in three months, the euro will have a value of$1.40. In this situation, the speculator would buy euros on the forward market, and this activity involves risk for the speculator.
In simple terms, risk is the opportunity for something terrible to happen. chance entails uncertainty approximately the effects/implications of an activity with respect to something that people price (which includes fitness, nicely-being, wealth, belongings, or the surroundings), regularly that specializes in the negative, unwanted outcomes. Many distinct definitions had been proposed. The worldwide standard definition of danger for commonplace know-how in one-of-a-kind packages is “impact of uncertainty on targets”.
The expertise of threat, the techniques of evaluation and control, the descriptions of chance, or even the definitions of threat differ in exceptional exercise regions (business, economics, surroundings, finance, statistics generation, health, coverage, protection, safety, and many others). this newsletter provides links to more specified articles on these regions. The global standard for change management, ISO 31000, affords standards and established tips on managing dangers faced by way of companies.
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Number 4, Use the net to complete the sentences. The square pyramids base that is_____ units on each side. The height of each triangular face is ______ units.
A total of 27 students are in your class. There are nine more males than females.
How many females are in your class?
Find (9.3 × 106) + (1.8 × 104). Express your answer in scientific notation.
Answer:
(9.3 × 106) + (1.8 × 104) =
985.8 + 187.2 =
1173
Step-by-step explanation:
The required scientific notation of (9.3 × 10^6) + (1.8 × 10^4) is 93.18E+5.
To find (9.3 × 106) + (1.8 × 104) and express the answer in scientific notation.
An expression in the form of abE+5 is scientific notation.
To Write the expression in the scientific notation, for example, 12.34 * 10^6
First, put the non-zero digit with desired decimal points in order to show a more simple value, and Put E after the digit and add + and - sign after it which shows the 10 exponents of the digit positive or negative. Then put the value of the exponent. eg 12.34E+6.
⇒(9.3 × 106) + (1.8 × 10^4)
⇒ (9.3 × 106) + (0.018 × 10^6)
⇒ (9.3 + 0.018)× 10^6
⇒ (9.318)× 10^6
For scientific notation
=93.18E+5
Thus, the required scientific notation of (9.3 × 10^6) + (1.8 × 10^4) is 93.18E+5.
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Helene spends 15% of her budget on transportation expenses. Enter this percent as a decimal and as a fraction in simplest form.
Answer:
15% = 0.15
15% = \(\frac{15}{100}\)
Step-by-step explanation:
In October Diana planted a tulip bulb 6 inches deep in the soil the next spring when the tulip bloomed it reached a height of 13 inches above the surface what is the total distance from where the bulb was planted to the top of the tulip?
Answer:
19 inches
step by step:
it was 6 inches into the ground & grows 13 above the surface, (6+13) therefore, you have 19inches
The total distance from where the bulb was planted to the top of the tulip is 19 inches.
It is required to find the total distance.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols
Given:
Diana planted a tulip bulb 6 inches deep in the soil.
Tulip bloomed it reached a height of 13 inches above the surface.
According to given question we have,
It was 6 inches into the ground & grows 13 inches above the surface,
The total distance
=(6+13)
=19 inches.
Therefore, the total distance from where the bulb was planted to the top of the tulip is 19 inches.
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Reflect the point (0, -2) across the line y= 6
Answer:
(0, 14)
Step-by-step explanation:
The point (0, -2) is 8 spaces away from the reflection line of y = 6, so just count 8 spaces up from the reflection line.
:)
Floyd builds rectangles using matches, as shown below. When the length of the rectangle is 3 matches, he used 8 matches. When the length of the rectangle is 7 matches, he used 16 matches. How many matches does Floyd need to make a rectangle with length 20 matches? [Type in only o numeric digit as your answer with no spaces Answer: Search Q
Floyd needs 33 matches to make a rectangle with a length of 20 matches.
To find out how many matches Floyd needs to make a rectangle with a length of 20 matches, we can observe a pattern in the given information.
From the given data, we can see that as the length of the rectangle increases by 4 matches, the number of matches used increases by 8. This means that for every additional 4 matches in length, Floyd requires 8 more matches.
Using this pattern, we can calculate the number of matches needed for a rectangle with a length of 20 matches.
First, we need to determine the number of 4-match increments in the length of 20 matches. We can do this by subtracting the starting length of 3 matches from the target length of 20 matches, which gives us 20 - 3 = 17.
Next, we divide the number of 4-match increments by 4 to determine how many times Floyd needs to add 4 matches. In this case, 17 ÷ 4 = 4 with a remainder of 1.
Since Floyd requires 8 matches for each 4-match increment, we multiply the number of increments by 8, which gives us 4 × 8 = 32 matches.
Finally, we add the remaining matches (1 match in this case) to the total, resulting in 32 + 1 = 33 matches needed to reach a length of 20 matches.
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The equation y = 3.5x represents the total cost y in dollars of buying x pounds of cheddar cheese at Art’s Deli. The graph below shows the total cost y in dollars of buying x pounds of cheddar cheese at Jon’s Deli. What conclusion can you draw about the cost of cheddar cheese at these delis? Cheddar cheese costs $4 more per pound at Jon’s Deli than Art’s Deli. Cheddar cheese costs $0.50 more per pound at Jon’s Deli than Art’s Deli. Cheddar cheese costs $3.50 less per pound at Art’s Deli than Jon’s Deli. You pay the same price per pound for cheddar cheese at both delis.
Step-by-step explanation:
i think its X=2.75
Darren says that more students hands are 4 2/4 inches longer than 4 and 5 1/4 inches combined. is he right?Explain you're answer
In a case whereby Darren says that more students hands are 4 2/4 inches longer than 4 and 5 1/4 inches combined, he is wrong
What is the justification?
\(4\frac{2}{4}\) that was given in the question can be seen as mixed fraction, we can expressed this as improper fraction so that it will be easier to handle.
\(4\frac{2}{4} = \frac{16+4}{2}\)
=\(\frac{18}{4}\)
Then \(4 + 5\frac{1}{4} = \frac{16}{4} +\frac{20+1}{4} \\\\=\frac{37}{4}\)
Then after expressing the given fractions as improper fraction we can now compare them so that e will know may be Darren is right or wrong, then here we can see that \(\frac{18}{4}\) is less than \(\frac{37}{4}\) Hence, Darren is wrong.
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NEED HELP ASAP: Which of the following points is a possible solution to the system
Y < 3x - 1
Y > x - 1
(0, 1)
(-2, 0)
(0, -1)
None of these choices are correct
The points with possible solution to the system is (0, -1)
From the points;
(0, -1) represents (x, y)
x = 0
y= -1
y ⩽ 3x − 1
-1 ⩽ 3(0) - 1
-1 ⩽ -1
y ⩾ x− 1
-1 ⩾ 0 - 1
-1 ⩾ -1
¿Cuántas hipotenusa tiene el triangulo rectángulo?
Answer:
Step-by-step explanation:
Only one hypotenuse and it lies opposite to the right angle.
10. Rewrite this fraction 5/6 two different ways. Answers may include an equivalent fraction, a percent, a decimal, a mixed fraction, etc.
\( \boxed{ \sf \frac{5}{6} }\)
Two different ways to rewrite it : I am using equivalent fraction and percentAs percentage:\( \tt \frac{5}{6} \)
Calculate the approximate value
\( \tt \approx \: 0.833333\)
Round the number to the nearest ten thousandth
\( \tt0.8333\)
Write as a decimal fraction
\( \tt \frac{83.33}{100} \)
By definition p/100= p%
\( = \sf \: 83.33 \%\)
Equivalent fraction:Multiply both numerator and denominator by the same number, I am taking 2
\( \bf \frac{5}{6} \times \frac{2}{2} \\ \bf \: \frac{5 \times 2}{6 \times 2} \\ \bf \: = \frac{10}{12} \)
I have 10 sweets. My brother ate 3 sweets and I ate 4. What fraction of my sweets did we eat altogether? (Think about: what is the total number of sweets and how many did we eat.)
Answer:
7/10
Step-by-step explanation:
If you have 10 sweets
Your brother eats 3
You eat 4
3 + 4 = 7
7 out of ten = 7/10
So therefore the answer is 7/10
Answer:
7/10 (seven tenth)
Step-by-step explanation:
If 7 out of 10 sweets were eaten, then 7/10 of the sweets are gone.
Basically the way you do it, is add the amount of sweets you two ate together, which is 3 + 4 = 7 and there are 10 sweets in all, that's 7/10 of the sweets eaten all together.