Answers
The probability that the sample proportion surviving for at least 3 years will be less than 67% is of:
0.1131 = 11.31%.
Normal Probability DistributionThe z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is given by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the calculated z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].The proportion and the sample size are given as follows:
p = 0.73, n = 80.
Hence the mean and the standard error are given as follows:
[tex]\mu = 0.73[/tex].[tex]s = \sqrt{\frac{0.73(0.27)}{80}} = 0.0496[/tex]The probability that the sample proportion surviving for at least 3 years will be less than 67% is the p-value of Z when X = 0.67, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
Z = (0.67 - 0.73)/0.0496
Z = -1.21
Z = -1.21 has a p-value of 0.1131.
Hence the probability is:
0.1131 = 11.31%.
More can be learned about the normal distribution and the central limit theorem at https://brainly.com/question/25800303
#SPJ1
Related Questions
5 Math on the Spot Robin says, "I can find 6 × 9 by
multiplying 4 X 9 and doubling it." Does her statement
make sense? Justify your answer.
Answers
If Robin says, "I can find 6 × 9 by multiplying 4 X 9 and doubling it, her statement didn't make any sense because it is not possible.
What is distributive property?
The same outcome will be obtained by multiplying the sum of two or more addends by a number as it is by multiplying each addend separately by the number and then adding the resulting products.
A × (B + C) = AB + AC
A (B - C) = AB - AC
Here,
we can write 6 × 9 as,
= 6 × 9 = 6 × (6 + 3) = (6 × 6) + (6 × 3), by applying distributive property
Hence, If Robin says, "I can find 6 × 9 by multiplying 4 X 9 and doubling it, her statement didn't make any sense because it is not possible.
To learn more about the distributive property from the given link
https://brainly.com/question/2807928
#SPJ1
Using the graph below, determine the employee's hourly wage.
Answers
Using the graph, the hourly wage of the employees is: $8 per hour.
How to Determine Hourly Wage From a Graph?Slope of a proportional graph is the unit rate between two variables, x and y, and it is calculated as: k = y/x.
To find the unit rate or slope of the graph, use any point on the graph (x, y).
The unit rate of the graph in the image above is the hourly wage of the employees.
Using any point on the line, say, (13, 104), we can find the slope/unit rate. Therefore:
Unit rate/slope, k = 104/13
Unit rate/slope, k = 8
Therefore, the hourly wage is: $8 per hour.
Learn more about the hourly wage on a graph on:
https://brainly.com/question/15079546
#SPJ1
216. Разложите на множители, а затем вычислите значение выражения
a) a² + ab при а = 6,6, b = 3,4;
б) x2 - ху при х = 0,5, у = 2,5;
в) —5а² — 5ах при а = 4, x = -3
Answers
Answer:
Doesn't make a lot of sense. Can you be more specific.
Step-by-step explanation:
Jan works from 30 to 40 hours per week during the summer. She earns $12.00 per hour. Her friend Rachel also has a job. Rachel's pay for t hours is given by the function r(t) = 11t, where 20 ≤ t ≤ 30. Find the domain and range of each function. Compare their hourly wages and the amount they earn per week.
j(t) domain:
≤ t ≤
j(t) range:
≤ j(t) ≤
r(t) domain:
≤ t ≤
r(t) range:
≤ r(t) ≤
select: Jan or Rachel
earns more per hour than
select: Jan or Rachel
. Jan earns from $ (blank)
to (blank) $
per week and Rachel earns from (Blank) $
to (Blank) $
per week.
Answers
Jan earns more than Rachel. The range of what Jan earns is 360 dollars to 480 dollars per week. The range of what Rachel earns is 220 dollars to 330 dollars per week.
How to solve for the Range and the domain of the functionsJan's pay function is given as /(t) = 12 dollars this is the same as 12 dollars in one hour
the time that she has to work is given a 30 hours to 40 hours.
Hence the domain would be written as
domain : 30 ≤ t ≤ 40
we have to make use of the values of t
f(t) = 12 * 30 = 360
f(t) = 12 * 40 = 480
The range of Jan is going to be
range : 360 ≤ t ≤ 480
b. For Rachel, t is going to vary between 20 ≤ t ≤ 30
domain : 20 ≤ t ≤ 30
r*t = 11t
= 11 x 20 = 220
= 11 x 30 = 330
The range is given as
range: 220 ≤ t ≤ 330
Jan earns more per hour than Rachel
The amount earned is, Jan earns from 360 dollars to 480 dollars per week.
Rachel earns from 220 dollars to 330 dollars per week.
Read more on the range and domain of functions here: https://brainly.com/question/1942755
#SPJ1
If f(x) = 3x and g(x)=1/x, what is the domain of (gof)(x)?
Answers
For the given functions f(x) = 3x and g(x) = 1/x then domain of
(gof)(x) =1/3x is all the real numbers excluding zero.
As given in the question,
Given functions are as follow:
f(x) = 3x
g(x) = 1/x
Now ,
(gof)(x)
= g(f(x))
Substitute f(x) = 3x in the above function we have,
=g(3x)
Replace the value of x by 3x in the given function g(x) we get,
= 1/ 3x
For x = 0 (gof)(x) =1/3x is undefined.
Domain include all the real numbers except zero.
Therefore, for the given functions f(x) = 3x and g(x) = 1/x then domain of (gof)(x) =1/3x is all the real numbers excluding zero.
Learn more about domain here
brainly.com/question/28135761
#SPJ1
a piece of pipe is 40in. long. It is cut in to 3 pieces. the longest piece is 3 times as long as the middle sized piece and the shortest piece is 23 in. shorter than the longest piece. Find the lengths of all 3 pieces of pipe.
Answers
The length of shortest piece is 4 inches, middle sized piece is 9 inches and that of longest piece is 27 inches.
According to the question,
We have the following information:
A piece of pipe is 40in. long. It is cut in to 3 pieces. The longest piece is 3 times as long as the middle sized piece and the shortest piece is 23 in. shorter than the longest piece.
Let's take the length of middle sized piece to be x inches.
Length of longest piece = 3x inches
Length of shortest piece = (3x-23) inches
Now, we have the following expression:
x+3x+3x-23 = 40
7x-23 = 40
Adding 23 on both the sides:
7x = 40+23
7x = 63
Dividing by 7 on both the sides:
x = 63/7
x = 9 inches
Length of longest piece = 3*9 inches
Length of longest piece = 27 inches
Length of shortest piece = (27-23) inches
Length of shortest piece = 4 inches
Hence, the length of shortest piece is 4 inches, middle sized piece is 9 inches and that of longest piece is 27 inches.
To know more about length of shortest piece here
https://brainly.com/question/12560506
#SPJ9
what is the present value of $2525 per year, at a discount rate of 10 percent, if the first payment is received 9 years from now and the last payment is received 24 years from now?
Answers
The present value of $2525 per year, at a discount rate of 10 percent, if the first payment is received 9 years from now and the last payment is received 24 years from now is; $9215.77
What is the Present Value of Annuity?
An annuity is defined as a fixed amount of cash that is received or paid periodically over a certain period of time. This would mean that the amount in each cash flow of the annuity would be equal and occur for a specific period of time.
The formula for present value is;
PV = P[1 - (1 + r)⁻ⁿ)/r]
where;
PV is present value
P is periodic cash flow
r is interest rate
n is time
We are given the following;
Periodic cash flow (P) = $2525 /Year
Interest rate (r) = 10% /Year = 0.1
Time (n) = 16 Year (from 9 years to 24 years)
Thus;
PV = 2525[1 - (1 + 0.1)⁻¹⁶)/0.1]
PV = $19754.86
This is the present value in 9 years
Thus, the present value in 24 years which is now will be expressed by the formula;
PV = FV/(1 + i)^(t)
where;
PV is present value
FV is future value
i is interest rate
t is time
Thus;
PV = 19754.86/(1 + 0.1)^(8)
PV = $9215.77
Read more about Present Value of Annuity at; https://brainly.com/question/19131462
#SPJ1
In your lab, a substance's temperature has been observed to follow the function T(x) = (x − 5)3 + 9. The turning point of the graph is where the substance changes from a liquid to a gas. Using complete sentences in your written answer, explain to your fellow scientists how to find the turning point of this function. Hint: The turning point of the graph is similar to the vertex of a quadratic function.
Answers
The turning point is at x = 5, and this means that the substance changes from liquid to gas when x = 5.
How to find the turning point?
Here we have the temperature function:
T(x) = (x - 5)^3 + 9
The turning point is the point where the curvature of the function changes, by differentiating the function two times and finding the zero, we can get the turning points.
T'(x) = 3*(x - 5)^2
T''(x) = 3*2*(x - 5) = 6*(x - 5)
This is zero when x = 5, then:
T''(5) = 6*(5 - 5) = 0
So the turning point is there.
Learn more about temperature:
https://brainly.com/question/25677592
#SPJ1
Ten men working 6 hours a day takes 12 days to complete a job.How long will it take 8 men working 12 hours a day to complete the same job
Answers
Answer:
It will take 7.5 days to complete the job.
Step-by-step explanation:
First, find how many total hours the ten men worked to complete the job
10 x 6 = 60 hours a day
12 x 60 = 720 hours total
Now compare that with the 8 men's hours
8 x 12 = 96 hours a day
720 / 96 = 7.5 days
ABC has a right angle at C, BC=6.8 centimeters, and m
Answers
Answer:
your question is cutoff, cant read it
Select the correct answer. What is this equation rewritten in logarithmic form? 9x = 3
A. log9 3 = x
B. logx 3 = 9
C. log3 9 = x
D. log3 x = 9
Answers
Answer:
A. [tex]\log_9{3}=x[/tex]
Step-by-step explanation:
[tex]y=e^x\rightarrow\log_e{y}=x[/tex]
Therefore,
[tex]3=9^x\rightarrow\log_9{3}=x[/tex]
O Points: 0 of
A medical research study on a new medicine for multiple sclerosis is being conducted with 24 patients. After the study was concluded, it
medicine, 7 reacted unfavorably, and 2 were unaffected. If three of the patients are randomly selected, determine the probability that nor
Answers
If three of the patients are randomly selected, then the probability that none of the patients reacted favorable is 21/506.
In the given question,
A medical research study on a new medicine for multiple sclerosis is being conducted with 24 patients.
After the study was concluded, it was concluded it was determined that 15 patients reacted favorably to the medicine, 7 reacted unfavorably, and 2 were unaffected.
If three of the patients are randomly selected, then we have to determine the probability that none of the patients reacted favorable.
Total patient are 24.
The patients reacted favorably to the medicine is 15.
The patients reacted unfavorably to the medicine is 7.
The patients unaffected to the medicine is 2.
Randomly selected patients are 3.
So the probability that none of the patients reacted favorable
P(E) = 9/24 × 8/23 × 7/22
Simplifying
P(E) = 9/3 × 1/23 × 7/22
P(E) = 3 × 1/23 × 7/22
P(E) = 21/506
Hence, if three of the patients are randomly selected, then the probability that none of the patients reacted favorable is 21/506.
To learn more about probability link is here
brainly.com/question/11234923
#SPJ1
The right question is
"A medical research study on a new medicine for multiple sclerosis is being conducted with 24 patients. After the study was concluded, it was concluded it was determined that 15 patients reacted favorably to the medicine, 7 reacted unfavorably, and 2 were unaffected. If three of the patients are randomly selected, then we have to determine the probability that none of the patients reacted favorable."
If a plant grows 15 cm in 3 hrs. Determine which expression correctly represents a unit rate for the situation.
Answers
The unit rate of the plant growth is 5cm per hour
How to calculate the unitThe unit rate refers to amount the plant will grow 1 hour
from the relationship
15 cm = 3 hours
? cm = 1 hour
cross multiplying
3 * ? = 15 * 1
? = 15 / 3
? = 5 cm
The plant's unit rate of growth is 5cm per hour
Learn more about unit rate here:
https://brainly.com/question/19493296
#SPJ1
what is meter × meter
Answers
[tex]meter^{1`} *meter^{1} \\=meter^{1+1} \\=meter^{2}[/tex]
⇒Mote I used the laws of exponents : [tex]=x^{m} *x^{n} \\=x^{m+n}[/tex]
what fraction of the numbers from 1 to 20 contain the digit 7
Answers
Answer:
2/20
Step-by-step explanation:
Only 7 and 17 contain the number 7
Select all of the following that are ordered pairs of the given function.
h(x) = 3x²
(1, 3)
(-1, -3)
(-1,3)
(1, -3)
Answers
The ordered pairs of the function, h(x) = 3x², are (1,3) and (-1,3).
According to the question,
We have the following information:
h(x) = 3x²
Now, we will look at the options to know the correct option of ordered pairs.
Now, in the options, there are only two values of x (1 and -1). So, we will solve the given function using these two values and we will find the value of h(x).
h(x) = 3x²
h(1) = 3*1*1
h(1) = 3
So, the first ordered pair is (1,3).
When x = -1:
h(x) = 3x²
h(-1) = 3*-1*-1
h(-1) = 3
Now, the second ordered pair of the function is (-1,3).
Hence, the correct options are A and C.
To know more about ordered pairs here
https://brainly.com/question/28931422
#SPJ1
Determine if the line segment YX is tangent to circle Z.
Answers
The segment XY is a tangent to circle Z.
What is tangent to a circle?
Tangent to a circle is the line that touches the circle at only one point. There can be only one tangent at a point to circle. Point of tangency is the point at which tangent meets the circle.
To check the segment YX is tangent to circle z, first we have to check that the triangle formed XYZ is right angle triangle or not.
If the triangle XYZ is a right triangle, then we have
XY² +XZ² = YZ²
3.6² +2.7² = (1.8 +2.7)²
12.96 +7.29 = 20.25 it's true.
Therefore, the segment XY is a tangent to circle Z.
To know more about the tangent to a circle, click on the link
https://brainly.com/question/11067500
#SPJ13
In the fall of 2017, there were 48 thousand more female undergraduate students enrolled at a college than male
undergraduate students. If the total undergraduate enrollment was 414 thousand that fall, find the numbers of female
undergraduate students and male undergraduate students who were enrolled.
The number of female undergraduate students was
thousand.
Answers
Answer: 231 thousand
Step-by-step explanation:
given,
total number of undergraduate students enrolled = 414000
let us take number of total number of male students as, X
then, total number of female students will be X + 48000
now we get,
total number of male students + total number of female students = total number of students enrolled.
X + (X + 48000) = 414000
X + X + 48000 = 414000
2X = 414000 - 48000
X = 366000/2
X = 183000
total number of male students is 183000
total number of female students is
X + 48000
183000 + 48000 = 231000
A group of 3 students plants 141 seeds. Each student plants the same number of seeds.
How many seeds does each student plant?
Write an expression you can use to solve
the problem.
Answers
Answer:
to find the answer you just need to divide 3 out of 141
141÷3=47seeds per each student
3x=141
x=141÷3
x=47
The equation is represented as A = S/3 , where S is the total number of seeds and A is the number of seeds planted by each student and the value of A = 47 seeds
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total number of seeds by each student be A
Now , the equation will be
The total number of seeds be S = 141 seeds
The number of students be n = 3 students
So , the total number of seeds planted by each student A = total number of seeds S / number of students n
A = S / n
Substituting the values in the equation , we get
Total number of seeds planted by each student A = 141 / 3
Total number of seeds planted by each student A = 47 seeds
Therefore , the value of A is 47 seeds
Hence , the number of seeds is 47 seeds
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
A2 Lesson 3.2 Practice
1. Does the graph shown represent a function for 0 < x < 6? Explain.
Answers
Yes, the graph shown represents a function for 0 < x < 6 because its domain is true about the given interval.
What are the domain and range of the function?The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
The function is given in the represented graph
According to the given graph, we can see the value of the domain of the given function f(x) when the function includes all possible variables of x values of a function.
Here the domain of the given function is 0 < x < 6
Therefore, the graph shown represents a function for 0 < x < 6 because its domain is true about the given interval.
Learn more about the domain and the range here:
brainly.com/question/21027387
#SPJ1
lamp post tilts
toward the Sun at a 2° angle from
the vertical and casts a 25-foot shadow.
The angle from the tip of the shadow
to the top of the lamp post is 45°.
Find the length of the lamp post.
Answers
Answer:
the lamp of post is 24 of the same
In a class of 152 students, 100 are taking math (M), 77 are taking science (S), and 55 are taking both math and science. One student is picked at random. Find the probability.
P(taking math or science or both)
Answers
The probability of taking math or science or both is 123/152
The total number of students = 152 students
Number of students who take math = 100 students
Number of student who take science = 77 students
Number of students who take both math and science = 55 students
The probability = Number of favorable outcomes / Total number of outcomes
We have to find each term
The number of favorable outcomes =55+45+23
= 123
Total number of outcomes = 152
Substitute the values in the equation
Probability of taking math or science or both = 123/152
Hence, the probability of taking math or science or both is 123/152
Learn more about probability here
brainly.com/question/11234923
#SPJ1
K
Choose the measurement closest to 30 km: 10 mi, 20 mi or 30 mi.
Choose the correct answer below.
20 mi
30 mi
10 Ini
O
O
O 10
Answers
Answer:
20 miles
Step-by-step explanation:
1.6km is equivalent to 1 mile
so 30km / 1.6 = 18.75 miles
therefore 20 miles is the closest to 30km
let o be the point of intersection for the diagnols of quadrilateral abcd prove that abcd could be a trapezoid (that is if it has one sides parallel) is Aaod = Aboc
Answers
From the given proof below, we have been able to show that quadrilateral ABCD is a Trapezoid.
How to identify a Trapezoid?A trapezoid is also called a trapezium and it is characterized by four straight sides and one set of parallel sides. The parallel sides are referred to as the base, while the non-parallel sides are referred to as the legs.
We are told that;
O is the point of intersection for the diagonals of quadrilateral ABCD;
where;
AO/BO = CO/DO
This can also be expressed as;
AO/CO = BO/DO
Thus, if we create line OE to be parallel to DC which is OE || DC. Then it means that point E lies on BC.
Using the Basic Proportionality Theory, in ΔBDC, we can say that;
BO/OD = BE/EC ............................1
We are also given that:
AO/CO = BO/DO ..........................2
Thus, from Equations 1 and 2, we have;
AO/CO = BE/EC
Using the converse form of the Basic Proportionality Theorem, we have;
OE || AB
Therefore, AB || OE || DC.
Therefore we can conclude that ABCD is a Trapezoid.
Read more about Trapezoids at; https://brainly.com/question/16725694
#SPJ1
A study was commissioned to find the mean weight of the residents in certain town. The study found the mean weight to be 193 pounds with a margin of error of 9 pounds. Which of the following is not a reasonable value for the true mean weight of the residents of the town?
Answers
Considering the confidence interval, the non-reasonable value for the true mean weight of the residents of the town is:
A value that is less than 184 or more than 202.
How to obtain the confidence interval?The confidence interval for a population mean is given by the point estimate of this mean, which is the sample mean, plus/minus the margin of error.
For the context of this problem, these parameters are given as follows:
Point estimate: 193 pounds.Margin of error: 9 pounds.Hence the lower bound of the interval is:
193 pounds - 9 pounds = 174 pounds.
The upper bound of the interval is:
193 pounds + 9 pounds = 202 pounds.
All the values that are in the interval are reasonable values for the population mean, hence, in the context of this problem, the not reasonable values are given as follows:
A value that is less than 184 or more than 202.
(as they would be outside the confidence interval).
Missing InformationThe options are not given, hence the answer was given in general terms.
More can be learned about confidence intervals at https://brainly.com/question/25890103
#SPJ1
what is the expected value of x? where x/p equals 0/.15, 4/.05, 8/.25, 12/.05, 16/.5
Answers
The expected value of x is 10.8
How calculate the expected value of x?Expected value is defined as the predicted value of a variable, calculated as the sum of all possible values each multiplied by the probability of its occurrence.
Given :
x| 0 4 8 12 16
p| 0.15 0.05 0.25 0.05 0.5
The expected value of x, E(x) =Σ xp
E(x) = (0×0.15) + (4×0.05) + (8×0.25) + (12×0.05) + (16×0.5)
E(x) = 0 + 0.2 + 2 + 0.6 + 8
E(x) = 10.8
Therefore, the expected value of x is 10.8
Learn more expected value on:
https://brainly.com/question/15858152
#SPJ1
a packet of crisps weighs 32 grams to the nearest gram. a multipack of crisps contains 10 packets. work out the least and the greatest weights of the multipack. you can ignore the weight of the multipack wrapper
Answers
If a multipack of crisps contains 10 packets. the least and the greatest weights of the multipack is 315, 325.
How to determine the least and greatest weight?Range = 31.5≤ x < 32.5
Range = 31.5≤ 10 < 32.5
Hence,
Lowest and greatest possible for 32 grams
Lowest possible = 31.5 grams
Greatest possible =32.4 grams
Since multipack of crisps contain is 10 packets hence.
Least weight = 31.5 grams × 10
Least weight =315
Greatest weight = 32.5 grams × 10
Greatest weight = 325
Therefore 315 and 325 are the weight.
Learn more about possible weight here: https://brainly.com/question/2416039
#SPJ1
5k+(2k)-(-1)……………..
……………………
Answers
:p
2 step equation:12. Amy wants to start taking gymnastics. There is a one-time fee of $35 to sign up, then it costs $85 per month. If Amy saves up $225, how many months of gymnastics can she take?
Answers
The number of months Amy can take the Gymnastic = 2 months.
Amy wants to start taking gymnastics.
The fee structure of the gymnastics is divided into two parts.
There is a one time fee payment of 35$ and there is a monthly payment that costs 85$ per month.
So the first month fee of the gymnastics = 35 + 85 = 120$
Savings of Amy = 225$
If Amy pays the 1st month fee ,
then the she will be left with the savings = 225$ - 120$ = 105 $
It means Amy can join the gymnastics for one more month .
Hence the number of months Amy can take the Gymnastic = 2 months .
To know more about months here
https://brainly.com/question/17037070
#SPJ1
Whats ?? Also right an addition expression to get the same answer Answer ASAP
Answers
Answer:
p=-10
Step-by-step explanation:
-10-20=-30
Subtracting a negative from a negative will result in a higher negative, the same can be said for -10-20. Removing 10 from -20 will result in a lower answer. This is 20.
