Answer:
The probability is 0.6796
Step-by-step explanation:
Given
Population Mean - 100
Population Standard Deviation - 25
As we know
z = x-μ/σ, where:
z is the standard score
x is the raw score
μ is the population mean
σ is the population standard deviation
Z value for mean of sample = 95
z1 = -100+95/25 = -5/25 = -0.2
P value for Z = -0.2 is 0.2912
Z2 = 100-105/25 = 0.2
P(z > 0.2 = 1 - P(z ≤ 0.2) = 1 - 0.0294 = 0.9706
P(-0.2 < z < 0.2) = 0.9706 - 0.2912= 0.6796
The probability is 0.6796
A certain test preparation course is designed to help students improve their scores on the USMLE exam. A mock exam is given at the beginning and end of the course to determine the effectiveness of the course. The following measurements are the net change in 5 students' scores on the exam after completing the course: 14,11,18,9,19 Using these data, construct a 99% confidence interval for the average net change in a student's score after completing the course. Assume the population is approximately normal. Step 3 of 4: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
The critical value is [tex]T = 4.604[/tex].
The 99% confidence interval for the average net change in a student's score after completing the course is (6.236, 22.164).
Step-by-step explanation:
The first step to solve this question is finding the sample mean and sample standard deviation:
14,11,18,9,19
Sample mean is sum of all values divided by the number of values. Thus:
[tex]\overline{x} = \frac{14+11+18+9+19}{5} = 14.2[/tex]
The sample standard deviation is the square root of the division of the sum of the subtractions squared of each value and the mean, and the number of values. Thus:
[tex]s = \sqrt{\frac{(14-14.2)^2+(11-14.2)^2+(18-14.2)^2+(9-14.2)^2+(19-14.2)^2}{5}} = 3.868[/tex]
Confidence interval:
We have the standard deviation for the sample, and so we use the t-distribution to build the confidence interval.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 5 - 1 = 4
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 4 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 4.604.
The critical value is [tex]T = 4.604[/tex].
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 4.604\frac{3.868}{\sqrt{5}} = 7.964[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 14.2 - 7.964 = 6.236.
The upper end of the interval is the sample mean added to M. So it is 14.2 + 7.964 = 22.164.
The 99% confidence interval for the average net change in a student's score after completing the course is (6.236, 22.164).
A delivery process has a target of 5 hours plus or minus one hour. The process standard deviation is estimated as 0.24 hours. The process has a ____ sigma quality level.
Answer:
the sigma quality level is 8.33
Step-by-step explanation:
given the data in the question;
Target of a delivery process = 5 hours plus or minus one hour i.e 5 ± 1
standard deviation of the process σ = 0.24 hours.
so,
The Lower Limit [tex]L_L[/tex] of the target will be;
[tex]L_L[/tex] = 5 hours - 1 hours = 4 hours
And the Upper Limit [tex]U_L[/tex] of the target will be;
[tex]U_L[/tex] = 5 hours + 1 hours = 6 hours
sigma quality level = ?
Now, to get the sigma quality level, we use the following expression;
sigma quality level = ( Upper Limit [tex]U_L[/tex] of the target - Lower Limit [tex]L_L[/tex] of the target ) / standard deviation of the process
sigma quality level = ( [tex]U_L[/tex] - [tex]L_L[/tex] ) / σ
so we substitute in our values
sigma quality level = ( 6 - 4 ) / 0.24
sigma quality level = 2 / 0.24
sigma quality level = 8.33
Therefore, the sigma quality level is 8.33
What is the slope of the line plotted below? Please answer asap , & D. is 1
Answer:
I think its 5 I cant really see it properly im sorry.
Step-by-step explanation:
PLEASE HELP MATH QUESTION 10 POINTS HELP ASAP PLEASE HELP
QUESTION IS IN LINKED IMAGE
Answer:
2x-3y=7. Linear
Blue graph. Linear
Table 3. nonlinear
y=-4. Linear
y=2x^2-4. Nonlinear
y=3/x-2. Nonlinear
what is the next term of geometric sequence -1/7,4/7,-16/7
Answer:
Step-by-step explanation: the answer is 5
Answer:
64/7
Step-by-step explanation:
multiply -16 by -4
Translate the sentence into an equation
Five less than the product of 2 and a number is equal to 7.
Answer:
2x - 5 = 7
Step-by-step explanation:
Which polynomial is a difference of two squares?
O x² – 16
O x2 + 16
O x² – 8
O x² + 8
Find the missing side. Round to the nearest tenth
Answer:
x = 12.5
Step-by-step explanation:
From the diagram,
Applying
tanФ = Opposite/Adjacent...................... Equation 1
From the diagram,
Given: Opposite = 16, Adjacent = x, Ф = 52°
Substitute these values into equation 1
tan52° = 16/x
make x the subject of the equation
x = 16/tan52°
x = 16/1.27994
x = 12.5.
A dot plot titled Number of Hours Spent on Homework goes from 1 to 6. There is 1 dot above 1, 5 dots above 2, 6 dots above 3, 4 dots above 4, 1 dot above 5, and 1 dot above 6. What is a dot plot and how do you read it? Check all that apply. A dot plot is a simple plot that displays data values as dots above a number line. Dot plots show the frequency with which a specific item appears in a data set. 3 students spent 4 hours on homework. 5 students spent 2 hours on homework. Dot plots show the distribution of the data. Students spent 1 to 6 hours on homework.
The management of a restaurant conducted a survey and found that 18 % of the customers preferred Orange Juice to Apple Juice. Based on this information, what is the probability that for a random sample of 17 customers, 7 preferred Orange Juice?
Answer:
The customers are wrong.
Step-by-step explanation:
Apple juice is wayyyyyyyyy better than orange juice.
19.*
The average number of minutes a person spends watching television is represented by
y = 800x. In this equation, x is the number of weeks and y is the number of minutes.
Which statement is supported by the equation?
(Lesson 5)
A In 6 weeks, a person spends an average of 4,200 minutes watching television.
B A person spends 800 minutes watching television in 1 month. (1 month = 4 weeks)
C In 5 weeks, a person spends an average of 160 minutes watching television.
DA person spends 41,600 minutes watching television in 1 year. (1 year = 52 weeks)
Step-by-step explanation:
Miko’s family drove at a constant speed as they left home and traveled to the restaurant where they stopped for lunch. Does the relationship between hours that past x and the distance traveled y represent a proportional relationship? Explain why or why not?
The universal set is the set of rational numbers. S is the set of integers.
Which represents SC?
{x|x is a real number}
{x|x is a rational number}
{x|x is a rational positive number}
{x|x is a rational non-integer}
Answer:
It's D on EDGE
Step-by-step explanation:
The compliment of the set S is {x|x is a rational non-integer}
What is union and intersection of sets?The union of two sets A and B is the set of all those elements which are either in A or in B, i.e. A ∪ B, whereas the intersection of two sets A and B is the set of all elements which are common. The intersection of these two sets is denoted by A ∩ B
The union of two sets is a new set that contains all of the elements that are in at least one of the two sets
The intersection of two sets is a new set that contains all of the elements that are in both sets
Given data ,
Let the universal set be represented as U
where the value of U is
U = {x|x is a rational numbers}
And , let the second set be represented as S,
where S = {x|x is an integer}
Now , the compliment of set S is given by = S'
And , S' = 1 - S
On simplifying , we get
S' = 1 - {x|x is an integer} and it belongs to U
So , S' = {x|x is a rational non-integer}
Hence , the set is S' = {x|x is a rational non-integer}
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Click on all the points that are solutions to y = x^2 - 9.
A) (0,-3)
B) (2,-5)
C) (3.-3)
D) (3,0)
E) (7,4)
9514 1404 393
Answer:
B) (2, -5)
D) (3, 0)
Step-by-step explanation:
I find it convenient to let a graphing calculator plot the points and the graph.
The only two points on the graph of the curve are ...
(2, -5) and (3, 0)
Can I have help please I am stuck on this question it would mean the world if u helped me have a nice day! =) <3
Answer:
F
Step-by-step explanation:
1m = 100cm
0.8m = 100*0.8 = 80cm
Plz help me well mark brainliest if you are correct!!
Answer:
B) 35°
Step-by-step explanation:
12.00P.M.= 85°
8.00A.M.= 50°
=85-50
=35°
Aaliyah invested $350 in an account paying an interest rate of 4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 20 years?
SsxcAnswer:
Step-by-step explanation:
Solve the exponential equation
2^x+10 = 18
3. What are a few ways that Alana can get a better understanding of her spending patterns?
Answer:
Step-by-step explanation:
Latoya buys candy that costs $6 per pound. She will spend more than $54 on candy. What are the possible numbers of pounds she will buy?
Answer:
11 pounds
Step-by-step explanation:
Can someone help me out math grades are bad
Answer:
First answer: 7x+19x+18+9
Second answer: 26x+27
use the formula R = log I, where are is the measurement of the Richter scale and I is the intensity, to find the Richter scale measurements of an earthquake with intensity 25,000,000. NO LINKS!!!
Answer:
R ≈ 7.4
Step-by-step explanation:
Substitute I = 25000000 into the equation
log(25000000 ) = R , then
R ≈ 7.4 ( to 1 dec. place )
Answer:
The Richter scale measurements of an earthquake with intensity 25,000,000 is R ≈ 7.4
Step-by-step explanation:
using the given formula R = log ISubstitute I = 25000000 into the equation
R= log(25000000 ) , then by using calculator we get
R =7.3979
R≈7.4
Thus the Richter scale measurements of an earthquake with intensity 25,000,000 is R ≈ 7.4
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It’s either C or D? Please help
Answer:
c
Step-by-step explanation:
Choose the measure that is approximately equivalent to 9 kilometers.
Answer: 5.6 miles
Step-by-step explanation:
The options to the question include:
A. 4.5 mi.
B.5.6 mi.
C.7.39 mi.
D.14.5 mi.
To convert kilometer to mile goes thus:
1 kilometer = 0.621371
Therefore, to find the value for 9 kilometers will be:
= 9 × 0.621371
= 5.592339 miles
= 5.6 miles approximately
Which constant number would you add to both sides of the equation in order to complete the square for the quadratic function 1 = x2 - 6x?
Answer:
9Step-by-step explanation:
Identity of the square of a sum:
(a + b)² = a² + 2ab + b²Applied to given equation:
1 = x² - 6x1 = x² - 2*x*31 + 3² = x² - 2*x*3 + 3²1 + 9 = (x - 3)²The added constant is 9
Answer:
Solution given:
equation is:
1=x²-6x
x²-6x-1=0
comparing above equation with ax²+bx+c=0
we get
a=1
b=-6
c=-1
now
constant no.[tex] {(\frac{b}{2})}^{2}= {(\frac{-6}{2})}^{2}=\frac{36}{4}=9[/tex]
constant required no is 9.
A shopkeeper earns a profit of rupees 300 on Monday, a loss of rupees 150 on Tuesday, than a loss of rupees 200 on Wednesday and profit of rupees 50 and rupees 75 on thursday and friday respectively.Find his net profit or loss in 5 days.
Answer:
75 rupees in net profit
Step-by-step explanation:
Loss indicates subtraction, and profit indicates addition
300-150-200+50+75=75
100 POINTS!!!!!! HELP
Question 23
Max and Jay are among 12 contestants in the school spelling bee. If the top two finishers win prizes, what is the probability both Max and Jay will be the two prize winners?
A
1766
B
136
C
166
D
1132
Find the area of the shape shown below.
Answer:
8 units²
Step-by-step explanation:
What you have is a square with two triangles. We will break them apart, calculate the area and then add them together.
Square: A = l · w
2 · 2 = 4 un²
Triangle: A = (b · h) ÷ 2
(2 · 2) ÷ 2 = 2 un²
4 un² + 2 un² + 2 un²
8 un²
G = B. What is the length of CD?
CD = ___
Answer:
10
Step-by-step explanation:
Since G = B (and 284 + 76 = 360), then FE = CD
Which of the following choices demonstrates the converse of the Pythagorean theorem correctly? (Assume that angle C is the right angle in the triangle ABC. a, b, c stands for side lengths BC, AC, and AB respectively)
A) If a2 + c2= b2, it’s a right triangle
B) If c2 + b2=a2, it’s a right triangle
C)If a2 + b2=c2, it’s a right triangle
D) None of the above.
Plz help me well mark brainliest if correct
