Answer:
A sample of 595 should be obtained.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Estimate of 0.55
This means that [tex]\pi = 0.55[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
What sample size should be obtained if she wishes the estimate to be within a margin of error of 0.04?
This is n for which M = 0.04. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.55*0.45}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96\sqrt{0.55*0.45}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.55*0.45}}{0.04}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.55*0.45}}{0.04})^2[/tex]
[tex]n = 594.2[/tex]
Rounding up,
A sample of 595 should be obtained.
Space shuttle Challengerexploded because of O-ring failure shortly after it was launched. O-ring damage and temperature at time of launch for the 23 space shuttle flights that preceded the Challenger. The data is reproduced below.
Flights with O-ring damage 43 57 58 63 70 70 75
Flights with no O-ring damage 66 67 67 67 68 69 70 70 72 73 75 76 76 78 79 81
Is the mean launch temperature for fights with O-ring damage significantly less than for flights with no O-ring damage? Use 5% level of significance.
Answer:
The mean launch temperature for flights with O-ring damage is significantly lesser than Flights with No O-ring
Step-by-step explanation:
Let
Null hypothesis : H0 : μ1 ≥ μ2
Alternate hypothesis : Ha : μ1 < μ2
next calculate the test statistic
t = -2.312
calculate the P-value
p-value = T.DIST ( t ,df ) ( excel function )
= 0.0270
Given that P-value ( 0.020 ) < level of significance ( 0.05 ) we will not fail to reject the null hypothesis
Attached below is the detailed solution
find area of figure
3 yd
8 yd
15 yd
13 yd
Answer:
C, 15 yd
Step-by-step explanation:
Hope this helps
help me plz.................
Answer:
[tex]\frac{1}{8}[/tex] cup
Step-by-step explanation:
[tex]y=\frac{7}{8} -\frac{1}{4}-\frac{1}{2}[/tex]
[tex]y=\frac{7}{8}-\frac{2}{8}-\frac{4}{8}[/tex]
[tex]y=\frac{7}{8}-\frac{6}{8}[/tex]
[tex]y=\frac{1}{8}[/tex]
sese
Sam has a phone card that charges $1 to connect and $0 50 per minute. He also uses a cell phone that charges $3 to connect and $0.25 per
minute. In how many minutes will calls made using the phone card and the cell phone cost the same?
Answer:
8
Step-by-step explanation:
Ninety percent of the 50 members of Clean and Green Movement voted for the new
president. How many did not vote for the new president?
Answer:
5
Step-by-step explanation:
90% of 50 is 45.
So 50-45
5
Hope this helps
5. Which is the best estimate for the sum of 3/8 and 1/12?
The best estimate is 11/24.
To solve, find a common denominator between both 8 and 12. They can both multiply into 24.
To turn 8 into 24, you multiply by 3, so you must do the same with its numerator. To turn 12 into 24, you multiply by 2, so again, you must do the same with its numerator:
3/8 ---> 9/24
1/12 ---> 2/24
Then, you can add the numerators together and keep the denominator 24:
9/24 + 2/24 = 11/24.
The graph of the function g(x) is a transformation of the parent function f(x)=x².
Which equation describes the function g?
a) g(x)=(x+4)²
b) g(x)=x²+4
c) g(x)=x²−4
d) g(x)=(x−4)²
Answer:
The answer is c)
Step-by-step explanation:
g(x)=x^2-4
Please help I’m really need the help (NO LINKS ) (NO LYING ) PART 2
what is the value of x in the equation -6 + x = -5
1. A company has a cash portfolio measured in millions. The drift is 0.1 per month, variance is 0.16per month. The initial cash is 2.0. a) Find the probability distribution after 6 months and after 1 year. b) Find the probability of a negative cash position at the end of 6 months and the end of 1 year. c) At what time in the future is the probability of a negative distribution greatest.
Answer:
Step-by-step explanation:
From the information given:
The probability distribution at the end of 6 months is determined as follows:
After 6 months;
Mean of probability distribution = value of Initial cash + [tex]\alpha[/tex]T
=2.0 +(0.1 × 6)
=2.6
After 6 months;
The probability distribution's standard deviation is estimated by using the following formula:
Standard deviation:
[tex]= b\sqrt{T}[/tex]
[tex]= 0.4 \times \sqrt{6}[/tex]
= 0.9798
Hence, after 6 months;
The company's cash position is supposed to be allocated monthly, with the following expenses.
Mean 2.6
Standard deviation 0.9798
Variance 0.96
After 12 months, the probability distribution is as follows:
Mean = value of Initial cash + [tex]\alpha[/tex]T
= 2.0 +(0.1 × 12)
= 3.2
The standard deviation is:
The standard deviation of probability distribution = [tex]b \sqrt{T}[/tex]
[tex]= 0.4 \times \sqrt{12}[/tex]
= 1.3856
Hence, after 6 months;
The company's cash position is supposed to be allocated monthly, with the following expenses.
Mean 3.2
Sandard deviation 1.3856
Variance 1.92
b)
in 6-month distribution, the probability of the negative value of the cash position is as follows.
Now, for us to find the negative cash distribution;
We need to estimate the z -scores value.
The z-score inform us greatly on the concept of how far a particular data point is from the mean.
For a normal distribution;
[tex]z = \dfrac{x-\mu}{\sigma}[/tex]
Here;
the value of x = zero as a result that if it exceeds zero. the cash position will be negative.
∴
[tex]z = \dfrac{x-\mu}{\sigma}[/tex]
[tex]z = \dfrac{0 - 2.6}{0.9798}[/tex]
[tex]z = -2.6536[/tex]
Using the standard distribution tables, it is now possible to calculate that the likelihood N(-2.65) equals 0.004 or 0.4 percent.
As a result, there's a 0.4 percent chance of getting a negative cash balance after six months.
For 12 months distribution:
The Probability of negative cash position is calculated as follows:
[tex]z = \dfrac{x-\mu}{\sigma} \\ \\ z = \dfrac{0-3.2}{1.3856} \\ \\ z = -2.3094[/tex]
Using the standard distribution tables,
N(-2.31) equals 0.0104 or 1.04 percent.
As a result, there's a 1.04 percent chance of getting a negative cash balance after 1 year
c) To determine the time period over which the likelihood of achieving a negative cash condition is highest, it's necessary to examine the z-score more closely. Essentially, the z-score measures the difference between a given value(x) and the mean of all potential values [tex](\mu)[/tex], expressed in terms of the total set's standard deviation [tex](\sigma)[/tex]
This suggests that the higher the z-score, the greater the difference occurring between x and [tex]\mu[/tex], and thus the likelihood of receiving x is minimal. As a result, the best chance of finding a certain value is when the z-score is the lowest.
To do so, calculate the derivative of the z-score in relation to the time interval. The point where the derivative is equivalent to zero is where the z-scores are at their lowest.
The first step is to go over the z-score formula in more detail, as seen below.;
[tex]z = \dfrac{x-\mu}{\sigma} \\ \\ z = \dfrac{0-(initial \ value + \alpha T)}{b \sqrt{T}} \\ \\ z = \dfrac{-initial \ value }{b\sqrt{T}}-\dfrac{a \sqrt{T}}{b} \\ \\[/tex]
Now, compute the derivative of this equation with respect to T as follows:
[tex]\dfrac{dz}{dT}= \dfrac{initial \ value \times T^{-\dfrac{3}{2}}}{2b} - \dfrac{aT^{-\dfrac{1}{2}}}{2b}[/tex]
Now, figure out the value of T at which this derivative is equal to zero by substituting all values as follows:
[tex]0 = \dfrac{2.0 \times T^{-\dfrac{3}{2}}}{2\times 0.4}- \dfrac{0.1 \times T^{-\dfrac{1}{2}}}{2 \times 0.4} \\ \\ \\ 0.1 \times T^{-\dfrac{1}{2}}= 2.0 \times T^{-\dfrac{3}{2}} \\ \\ \\T = \dfrac{2}{0.1} \\ \\ \\ T = 20[/tex]
As a result, the time period in which achieving a negative cash condition is = 20 months.
What is 97,000 in scientific notation?
Answer:
9.7 * 10 to power of 4
Step-by-step explanation:
Answer:
Don't know the meaning of this question
For each ordered pair, determine whether it is a solution to y=6.
Answer:
yes
no
yes
no
if their is a 6 in the y spot of the coordinate than it is a yes
MAFS.4.0A.1.2
2. Eddie has 50 marbles. Manny has m marbles. If Eddie
has 10 times as many marbles as Manny, write an
equation that shows how many marbles Manny has.
HELP ME PLEASE
Classify the triangle by its sides and angles.
-acute, scalene
-obtuse, scalene
-obtuse, isosceles
-acute, isosceles
Answer:
obtuse, scalene
Step-by-step explanation:
Answer:
obtuse,scalene
Step-by-step explanation:
it is more than 180°but less than 360°
it does not have equal sides
Can you guys help me real quick please
Answer: I believe the answer is 23k.
Step-by-step explanation:
Simplify (8x2 − 1 + 2x3) − (7x3 − 3x2 + 1).
Find the missing measure in a right triangle if a= 9 ft and b = 12 ft.
Answer:
c = 15 ft
Step-by-step explanation:
a^2 + b^2 = c^2
9^2 + 12^2 = c^2
c^2 = 225
c = √225
c = 15 ft
State the discriminant of 6x2-2x+K, and state for which values of K would result in two different solutions.
A..........
Step-by-step explanation:
Recall the following study: Over a 17-year period researchers studied a sample of 707 individuals from a single community. They recorded the number of hours each individual spent watching television during adolescence and early adulthood. In later years, they recorded the number of aggressive acts by individuals in the study, as reported by parents, teachers and police. Science magazine published the results in 2002 in an article titled "Television Viewing and Aggressive Behavior during Adolescence and Adulthood." The following are what kinds of variables?
Your question is incomplete
I have provided the various variables used in the question and their types
Step-by-step explanation:
The independent/explanatory variable in this question is the number of hours spent watching tv. This variable is what is used to explain the changes that occurs in the dependent variable.
The dependent/response variable is the number of aggressive actions that the individual commits. This is the variable we are interested in. This variable is measured using the independent variable.
The confounding variable is gender. And this variable has an impact on both the dependent and the explanatory variables.
Trace this composite figure.
2 cm
2 cm
4 cm
h
5 cm
3 cm
6 cm
Answer:
The answer is 6cm
Step-by-step explanation:
2cm(the one on top) and 4cm are directly opposite the unknown side which is the same when being cut horizontally so therefore the unknown side is equal to 2cm+4cm which is = 6cm
Find cos(B) in the triangle.
Choose 1 answer:
5. The owners of a two-person business make their decisions independently of each other and then compare their decisions. If they agree, the decision is made; if they do not agree, then further consideration is necessary before a decision is reached. The first owner makes the right decision 60% of the time; the second - 70% of the time. Enter your answers as decimals. 5(a) What is the probability that they make the right decision on the first try. 5(b) What is the probability that they make the wrong decision on the first try. 5(c) What is the probability that they delay the decision for further study.
Answer:
A. 0.42
B. 0.12
C. 0.45
Step-by-step explanation:
A. The probability that they make the right decision on the first try
First person = 60%
Second person = 70%
= 60% * 70%
= 0.42
B. Probability that they make wrong decision
= Wrong decision from first person * wrong decision from second person
Wrong decision = 1- right decision
= 1-0.60 * 1-0.70
= 0.40x0.30
= 0.12
3. Probability they delay decision
= 0.60(1-0.60)+0.70(1-0.70)
= 0.60x0.40 + 0.70x0.30
= 0.24+ 0.21
= 0.45
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Step-by-step explanation:
You have to click the number of Xs for each kilometer travelled. For example, there are 2 "3 km" answers, so under the 3 column, you click 2 Xs.
Pls help me , ASAP , TIA
Answer:
Step-by-step explanation:
Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
Jenny has read 193 books from the library
cookbook section. If this is 64% of the cookbook
section, how many books are in the entire
cookbook section?
A. 240
B. 300
C. 160
D. 64
Answer:
B. 300
Step-by-step explanation:
Let's take the entire number as 'x'
according to the question,
x * 64% = 193
x * 64/100 = 193
x * 64 = 193 * 100
x = 19300/ 64
x = 301.5
round down to 300
I need help with this question.
What is the approximate circumference of the circle?
A: 1.57 m
B: 157 m
C: 314 m
D: 3.14 m
Answer:
c=2pie r
2*3.14*0.5
=3.14
option d
The diagonals of rhombus MATH intersect at P(4,-5). If the equation of the line that
contains diagonal MT is y = -2x + 3, what is the equation of a line that contains
diagonal AH?
y = 1/2x +5
y = -1/2x-7
y = -2x + 5
y= 1/2x - 7
Answer:
D. y = 1/2x - 7Step-by-step explanation:
The diagonals of a rhombus are perpendicular:
MT ⊥ AHWe have the equation for MT:
y = -2x + 3Perpendicular lines have negative-reciprocal diagonals, therefore AH has slope of 1/2.
Since AH passes through point (4, -5), the equation of the line is:
y - (-5) = 1/2(x - 4)y = 1/2x - 2 - 5y = 1/2x - 7Correct choice is D
4 Does the equation y = x represent a function? Explain why or why not.
Answer:
y=x is a function!
Step-by-step explanation:
The reason it is a function is because it can create a:
A slope
A why y and x intercept
and a graph
Remember that x=1 and Y=1 ALWAYS
How many cards are in a standard deck of cards? What are their colors?
Answer:
52 cards
Step-by-step explanation:
the colors I am not sure of thought sorry
True or False
Can the expression (2x-2) +2 be read as the sum of two terms?