Solution :
Using the TI-84 PLUS calculator
a). Area : 0.41
μ = 75
σ = 9
InvNorm(0.41,75,9)
= 72.95209525
Therefore, the 41st percentile of the scores is 72.95209525
b). Area : 0.74
μ = 75
σ = 9
InvNorm(0.74,75,9)
= 80.79010862
Therefore, the 74st percentile of the scores is 80.79010862
c). 8%
So, Area : 0.92
μ = 75
σ = 9
InvNorm(0.92,75,9)
= 87.64564405
Therefore, X = 80.79010862
Consider the probability that greater than 26 out of 124 software users will call technical support. Assume the probability that a given software user will call technical support is 97%. Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.
Answer:
Since [tex]n(1-p) = 3.72 < 10[/tex], the normal curve cannot be used as an approximation to the binomial probability.
100% probability that greater than 26 out of 124 software users will call technical support.
Step-by-step explanation:
Test if the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.
It is needed that:
[tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex]
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
Out of 124 software users
This means that [tex]n = 124[/tex]
Assume the probability that a given software user will call technical support is 97%.
This means that [tex]p = 0.97[/tex]
Conditions:
[tex]np = 124*0.97 = 120.28 \geq 10[/tex]
[tex]n(1-p) = 124*0.03 = 3.72 < 10[/tex]
Since [tex]n(1-p) = 3.72 < 10[/tex], the normal curve cannot be used as an approximation to the binomial probability.
Consider the probability that greater than 26 out of 124 software users will call technical support.
The lowest possible probability of those is 27, so, if it is 0, since it is considerably below the mean, 100% probability of being greater. We have that:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 27) = C_{124,27}.(0.97)^{27}.(0.03)^{97} = 0[/tex]
1 - 0 = 1
100% probability that greater than 26 out of 124 software users will call technical support.
In remodeling a house an architect finds that by adding the same amount to each dimension of a 15ft by 19ft rectangular room, the area would be increased by 98 ft^2. How
much must be added to each dimension?
Let x be the amount that is added to each dimension. After writing an equation in standard form with a > 0, a= ? b= ? and c= ?
(Simplify your answers.)
Answer:
Step-by-step explanation:
new length=15+x
width=19+x
then area=(15+x)×(19+x)=285+15x+19x+x²=x²+34x+285 ft²
original area=15×19=285 ft²
then 285+98=x²+34x+285
or
x²+34x-98=0
x²+34x+17²=98+17²
(x+17)²=98+289=387
x+17=√387=3√43
x=3√43-17 ft
Sample information: 24 out of 1000 people who were surveyed had type 2 diabetes. Use the above sample information and construct two confidence intervals (one with confidence level of 90% and the other one with confidence level of 99%) to estimate the proportion of people who have type 2 diabetes. What is the relationship between the confidence level and the size of the confidence interval? Is this significant? Why is it important to understand this concept?
Answer:
it is important because the number of people who are infected by the disease is rising
What triangle is this
HOPE SO IT HELPS YOU
Answer:
Isosceles.
Step-by-step explanation:
It's an isosceles triangle because 2 sides are congruent ( 2 are 23 yds long).
Work out how many more skirts were sold on Friday than on Thursday ?
Answer:
15 more were sold on friday then thursday
Step-by-step explanation:
6x + 7y = 4x + 4y
Complete the missing value in the solution to the equation.
( ?,-4)
Hi there!
»»————- ★ ————-««
I believe your answer is:
(6, -4)
[tex]x = 6[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
We would need to solve for 'x'. We are already given the 'y' value of '-4', so we would need to substitute y for '-4', and then undo operations to isolate 'x'.⸻⸻⸻⸻
[tex]\rightarrow 6x + 7(-4) =4x + 4(-4)\\\\\rightarrow 6x - 28 = 4x - 16\\\\\rightarrow 6x - 28 + 28 = 4x - 16 + 28\\\\\rightarrow 6x = 4x + 12\\\\\rightarrow 6x - 4x = 4x - 4x + 12\\\\\rightarrow 2x = 12\\\\\rightarrow \frac{2x=12}{2}\\\\\rightarrow \boxed{x = 6}[/tex]
⸻⸻⸻⸻
The '6' would replace the question mark.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Yemi earns 8000naira a month and Bisi earns 6000naira a month. Find the ratio between their income.
Answer:
8:6
or
4:3
Step-by-step explanation:
The distribution of SAT scores is approximately normal with a mean of 1500.
If 1628 is the 90th percentile, what is the standard deviation?
Answer:
Hello,
Answer
[tex]\sigma=457,95...[/tex]
Step-by-step explanation:
p(z<a)=0.9
p(z<1.29)=0.9015
p(z<1.28)=0.8997
using linear interpolation: with 4 decimals
p(z<1.282)<0.9
[tex]\dfrac{1628-1500}{\sigma} =1.282\\\\\sigma =\dfrac{1628-1500}{1.282}\\\\\sigma=457,95...\\[/tex]
I need help thanks you!
I think its C: 2 hours. sry if its wrong
Khảo sát 600 sinh viên trường thấy có có 520 sinh viên thích các hoạt động của Hội Thanh Niên nhà trường. Với độ tin cậy 95%, ta có ước lượng tỷ lệ sinh viên toàn trường thích các hoạt động của Hội Thanh Niên thuộc khoảng
Answer:
I don't know ans OK bro because I can't understand your language what are you writing
i have 6 one, 7 tens and 14 hundreds. what number am i?
Answer:
Step-by-step explanation:
6×1 = 6
7×10 = 70
14×100 = 1400
6+70+1400 = 1476
Answer:
1,476
Step-by-step explanation:
I hope this helps you out! (please give me brainliest)
letter A represents the decimal
Answer:
answer is 0.4
Step-by-step explanation:
How many different 6-digit phone numbers do not contain the digit 8? Assume that any digit in the phone number can be any of the remaining numbers.
A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling an 8.
The probability of rolling an 8 is:
This is because there's one side we want (that's labeled "8") out of 12 sides total. This is of course if each side is equally likely.
Side note: this 12-sided die is known as a dodecahedron.
Suppose we flip two fair coins. Let X be the random variable that indicates the number of heads that come up. Let Y be the random variable that indicates the number of tails that come up. Show that X and Y are not independent.
Answer:
I doubt it is not going to be a great day of school
A survey is sent out to 500 people asking questions related to the link between religion and sexual behavior at a young age. The survey does not have any tracking device, and the results are sent to a database that gives no indication of who or where the results came from. However, the database is posted online for religion and human behavior researchers to freely conduct statistical analyses. The responses to this survey are
a. both confidential and anonymous.
b. confidential only.
c. anonymous only.
d. neither confidential nor anonymous.
Answer:
c
Step-by-step explanation:
Since the the identities of the survey takers were kept secret, it would be anonymous. If it wasn't anonymous, then people would know who took the survey.
Since the survey results were released online for analyses, it is not confidential. If it were to be confidential, then the survey distributors would have kept the results to themseles.
ko dung may tinh hay so sanh
3√7 vs 7√3
Answer:
what this makes bi sense haha
Step-by-step explanation:
but ok
Factorize:
3a^2 + 10a + 3
Answer: (3a + 1) (a + 3)
Step-by-step explanation:
Concept:
Here, we need to know the idea of factorization.
It is like "splitting" an expression into a multiplication of simpler expressions. Factoring is also the opposite of Expanding.
Solve:
Given = 3a² + 10a + 3
STEP ONE: separate 3a² into two terms
3a
a
STEP TWO: separate 3 into two terms
3
1
STEP THREE: match the four terms in ways that when doing cross-multiplication, the result will give us 10a.
3a 1
a 3
When cross multiply, 3a × 3 + 1 × a = 10a
STEP FOUR: combine the expression horizontally to get the final factorized expression.
3a ⇒ 1
a ⇒ 3
(3a + 1) (a + 3)
Hope this helps!! :)
Please let me know if you have any questions
HELP ME OUT ASAPPP PLSSS
Answer:
https://linksharing.samsungcloud.com/ul5cX9oOmhzt
Which word describes the relationship of the points (3, 1)
and (3, 6)?
OA) collinear
OB) parallel
C) perpendicular
OD) coincident
9514 1404 393
Answer:
A) collinear
Step-by-step explanation:
"Parallel" and "perpendicular" are descriptors of pairs of lines and planes. They do not apply to pairs of points.
The two points have different coordinates, so are distinct, rather than coincident.
Of these words, the only applicable choice is "collinear."
__
Additional comment
Any pair of distinct points is collinear. Two points define a line, and two points on the same line are collinear.
solve for P assume that none of the denominators are equal to 0
Kl=y(f/p+n + r/u)
Step-by-step explanation:
KI=yf/p+n + yr/u
(p+n) KI - yrp/u -yrn/u = yf
pKI - yrp/u = yf - nKI + yrn/u
p(KI - yr/u) = yf - nKI + yrn/u
p = (1/KI-yr/u)(yf-nKI+yrn/u)
Suppose A and B are events with P(A) = 1/4, P(B) = 1/3 and P(A cup B)= 1 2 a ) Find P(A cap B) b) Find P(A|B)
Answer:
Step-by-step explanation:
Find the missing ? Step by step need it
Answer:
30 degrees
Step-by-step explanation:
Use the Tan formula.
(a) If h (x) = x-3 and h(x) = (fog) (x) then find function of f(x) र g(x) of (x+3)³.
(b) If h(x) = (2x - 3) 5, h (x) = (fog) (x) then find two possibility of f(x) g(x).
Answer:
I don't understand the first question with " र" ???
Step-by-step explanation:
b)
1)
f(x)=x and g(x)=(2x-3)^5 so (fog)(x)=g(f(x))=g(x)=(2x-3)^5
2)
f(x)=x^5 and g(x)=2x-3 so (fog)(x)=g(f(x))=g(x^5)=(2x-3)^5
A survey on Internet usage was conducted among a group of 200 students in the school cafeteria. It was found that 100 students spend at least two hours online every day. Which of these is an example of descriptive statistics? a.) 50% of the students in the cafeteria spend at least two hours online each day. b.) 50% of the students in the school spend at least two hours online each day. c.) 50% of the students in a class spend at least two hours online each day. d.) 50% of the students surveyed spend at least two hours online each day.
Answer:
D) 50% of the students surveyed spend at least two hours online each day.
50% of the students surveyed spend at least two hours online each day.
Hence option d is correct.
Given that,
Number of students who spend at least two hours online = 100
Total number of students surveyed = 200
To calculate the percentage of students who spend at least two hours online each day,
we can use the formula:
percentage = (number of students who spend at least two hours online / total number of students surveyed) x 100%
Plugging in the values from the problem, we get:
percentage = (100 / 200) x 100% = 50%
Therefore, we can conclude that 50% of the students surveyed spend at least two hours online each day.
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ2
Point A lies outside of plane P. How many planes can be drawn that pass through point A?
A. 0
B. an infinite number
C. 2
D. 1
Answer:
D.
Step-by-step explanation:
.
The number of planes that can be drawn that pass through point A is 1.
How to estimate the number of planes that can be drawn that pass through point A?
A perpendicular line creates an angle of 90° with a line or a plane. If a line exists to be drawn from a point to a line or a plane it can only be one. In this case, a line exists to be drawn through a point A to a plane P. If the line stands to be perpendicular, then it exists only one.
Therefore, the correct answer is option D. 1.
To learn more about points on a plane refer to:
https://brainly.com/question/10680920
#SPJ2
Is this a function graph
7th grade math!!! Please help!! will mark brainlist
The answer is the first choice. If every 2 cm. is 4 cm., that means that the dimensions' values are doubled. Then, you can just double the dimensions. Preferably, in my opinion, this is the easier way to go. By your preference, though, you can do it the longer way as well.
There are 4 2s in the number 8.
There are 3 2s in the number 6.
If each of the 2s are 4s,
So, therefore,
Transforming the 2s to 4s,
4x4=16 cm.
3x4=12 cm.
So, this means that the final answer is the first choice. I hoped that this helped answer your question. Enjoy your day, and take care!
Answer:
`Length=16 feet, width=12 feet
Image result for how to use scale model step by step'
Divide the real life dimension of either length or width by that of the model. So the real life object had a length of 32m, and the model had a length of 8, then do 8(4). This is equal to 32, then divide by 2.
Hope this helps love <3
In a group of 50 students, 12 play basketball and volleyball
, 9 play volleyball
and soccer, 8 play basketball and play soccer, and 4 play all 3 sports.
Altogether, 21 play basketball, 22 play volleyball, and 19 play soccer. How
many of the 50 students don't play any of the 3 sports?
Answer:
17 don't play any
Step-by-step explanation:
12+9+8+4=33
33-50=17
2. Which of the following statements contains a quotient?
O A. 7-6 = 1
B. 42 : 6 = 7
C.7 x 6 = 42
O D. 7 + 6 = 13
Mark for review (Will be highlighted on the review page)
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