Answer:
0.3085 = 30.85% probability that the mean years of experience from the sample of 4 is greater than 3.5 years.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Distribution of years of experience:
Mean 3, so [tex]\mu = 3[/tex]
Standard deviation 2, so [tex]\sigma = 2[/tex]
Sample of 4:
[tex]n = 4, s = \frac{2}{\sqrt{4}} = 1[/tex]
What is the probability that the mean years of experience from the sample of 4 is greater than 3.5?
1 subtracted by the pvalue of Z when X = 3.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{3.5 - 3}{1}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a pvalue of 0.6915
1 - 0.6915 = 0.3085
0.3085 = 30.85% probability that the mean years of experience from the sample of 4 is greater than 3.5 years.
Answer:
We cannot calculate this probability because the sampling distribution n ot normal
Step-by-step explanation: Khan academy
Is x-6 a factor of 3x^3-16x^2-72?
Answer:
No
Step-by-step explanation:
its not because x doesn't go into all 3 coffecients (numbers) and 6 doesn't go into 3.
Answer:
no because x dosent go into all 3 coefficents (numbers) and 6 dosent go into 3
Step-by-step explanation:
Find the slop of the line given y - 1 = -5(x + 19)
Answer:
m = − 5 is slope
Step-by-step explanation:
At the city museum, child admission is $6.40 and adult admission is $9.90. On Saturday, twice as many adult tickets as child tickets were sold, for a total sales of $733.60. How many child tickets were sold that day?
Answer:
x child tickets, y adult tickets
6.40x+9.50y=1260.70
x+y=150
64x+95y=12607
x+y=150
If you solve this, you have to get x=53, y= 97.
So 53 child tickets and 97 adult tickets
-2 3 8 у 126 12 Is the relationship linear, exponential , neither?
Answer: It neither
Step-by-step explanation:
because x part is linear while y part is neither linear or exponential.
They both are supposed to have the same relationship since They are not then it’s neither linear or exponential.
Hope it help.
Find the area.
3 ft.
9 ft.
4ft.
5 ft.
Cid +
20 PTS !!!!!!
HELP PLEASE
Which of the following is not a characteristic of both experiments and
surveys?
A. The researcher exercises direct control over at least one variable.
B. Subjects should be randomly selected.
C. Data are collected about a population.
D. The data collected might be studied for patterns.
The researcher exercise direct control over at least one variable.
Answer:
C?correct me if I'm wrong
True or False Directions: Determine whether each statement below is correct or incorrect. Justify your response with a calculation, a description using complete English sentences, or a combination of both. If a statement is incorrect, make sure to include what the error is and state what the student should have done to evaluate the integral correctly in your explanation. All calculations must be done by hand and proper notation must be used. Correct responses with insufficient justification or that rely on technology will earn no credit.
A. [8 pts) Morgan claims that the improper integral * 4.re -2- dr converges to 1. esca 8
B. (8 pts] Avery is asked to compute dr and provides the following argument. (3 - 4.) 8 (3 - 4.0) (3 - 4.r) (-1) (3) lo dr =
Answer:
(A) true.
(B). False.
Step-by-step explanation:
(A). F(x) = 4xe^-2x.
Let's make the assumption that 2x = b -----------------------(1).
Therefore, taking the differentiation with respect to x, we have;
2x dx = db.
The next thing thing to do is to integrate, taking the upper limit to be infinity and the lower limit to be zero:
∫( b e^-b db).
Changing the Lim. infinity = 2.
= ∫( b e^-b db). ----------------------------(2).
The step (2) above can be solve with Integrations by part;
Lim. 2 ---> infinity [ b e^-b + ∫( 1 e^-b db|
( | = Upper boundary = 2 and the lower boundary = 0).
Lim. 2 ----> infinity [ 2 e^-2 - 0] - lim. 2 --> infinity [ 0 - 1].
Lim 2 ---> infinity [ 2/e^2 + 1].
Let 2/e^2 = j.
The, lim 2 ---> infinity j + 1.
To solve this, there is need to make use of L'hospital rule,
j = Lim 2 ---> infinity [ 1 /e^2] = 0.
Thus, j = 0. And 0 + 1 = 1.
(PROVED TO BE TRUE).
(B). Taking limit from 1 (upper) to 0( lower). Assuming that b = 3 - 4x.
Therefore, -4dx = db.
∫( 8 /(3 - 4x)^3 dx.
Taking the upper boundary = -1 and the lower boundary = 3.
∫ ( - 2db/ b^3.
= 2 ∫ ( - db/ b^3.
= 2 [ b^-3 + 2) / -3 + 1.
= 2 | - 1/ 2 db
= 8/9.
Not true.
which function displays the fastest growth as the x-values continue to increase?
The exponential function q(x) displays the fastest growth as the x-values continue to increase.
The correct option is D.
What is an exponential function?Mathematical functions with exponents include exponential functions. f(x) = bˣ, where b > 0 and b 1, is a fundamental exponential function.
Given:
A table is given for the value of x.
The function m(x) shows the linear relationship.
Because it has constant first difference.
n(x) is not a function because it has 2 input values connecting to one output value.
And the function q(x) has common ratio,
0.3/0.15 = 2.
So, it is an exponential function.
So, this function will display the fastest growth.
Therefore, the function is q(x).
To learn more about the exponential;
https://brainly.com/question/14344314
#SPJ6
Which statement is not true about the data shown
by the box-and-whisker plot below?
0 10 20 30 40 50 60 70 80 90 100
Select one:
a. The median of the upper half of the data is
70.
b. The range is 60.
C. Three fourths of the data is less than 58.
d. Half the data lies between 43 and 70.
e. None of the above
Answer:
A
Step-by-step explanation:
Because it's 50 writing it down n scratching it out u will find that 50 is your median not 70
Answer:
for me, the answer was "Three-fourths of the data is less than 58." or C.
Step-by-step explanation:
coz i had the same question and that was the answer for me, but not sure for others.
Find the distance between (6, 0) and (10, 3).
a 5 units
b 20 units
C 50 units
d None of the above
does anyone know this? geometry help pls
Answer:
A
Algebra For what values of the variables must ABCD be a parallelogram?
B
23. A 2y + 2 B 24. B
(3x + 10)
(8x + 5)º
3x + 6
54°
D
С
D
A
Зу - 9 с
ly+4
Fine the exponent ??
Answer:
the exponent is 7 why does it make me put 20 charects
Answer:
3
Step-by-step explanation:
27 = 3 to the power of 3
3 x 3 x 3 = 27
Classify. * 6x^2 - 22x^5
a. quadratic binomial
b. quadratic polynomial
c. quintic binomial
d. not a polynomial
Answer:
Step-by-step explanation:
C
operación 1: (6+(4*12)/12-2)+5
Answer:
13Step-by-step explanation:
6+ (4)(12) /12 −2+5
=6+ 48 /12 −2+5
=6+4−2+5
=10−2+5
=8+5
=13
Asaprocurementofficer,youareresponsiblefortheselectionofasupplierformanufactured components to use in your company’s production process. A potential supplier has indicated that they can supply the component that has a defect rate of 1.1% that is well below your current supplier's defect rate. You take 100 components and find four of them defective upon evaluation. Using the Poisson Distribution, how likely is it to get four or fewer defects out of 100?
Ce clasă ești sa văd daca te pot ajuta
cual es la longitud del alambre que sostiene un poste de 8 m de altura , si dicho alambre esta amarrado al suelo a 4m del poste
Answer:
La longitud del alambre que sostiene el poste es 8.94 metros.
Step-by-step explanation:
La longitud del alambre se puede calcular usando Pitágoras:
[tex] L^{2} = P^{2} + B^{2} [/tex]
En donde:
L: es la longitud del alambre =?
P: es la altura del poste = 8 m
B: es la distancia del alambre al poste = 4 m
Entonces, la longitud del alambre es:
[tex] L = \sqrt{P^{2} + B^{2}} = \sqrt{(8 m)^{2} + (4 m)^{2}} = 8.94 m [/tex]
Por lo tanto, la longitud del alambre que sostiene el poste es 8.94 metros.
Espero que te sea de utilidad!
divide 345609875by 13
Answer:
26585375
Step-by-step explanation:
What is 288/-32 in its standard form
Answer:
[tex] \frac{288}{ - 32} = \frac{ - 9}{1} \\ = - 9[/tex]
Answer:
the simplest form of 288/-32 is 91.
Step-by-step explanation:
hope this helps sorry if im wrong
Two different age groups were surveyed about the amount of time they spent on social media.
For b you had to add 25 and 35 together to make 60.
Divide 60 by 2 to get 30. 30 is the average between the two numbers. You then find the frequency of 30 using the graph. For the 12 year olds it is 40 and for the 18 year olds it is 60. Find the difference between these 2. So 60-40= 20
What is the slope of the line through (-4, 2) and (3, -3)? Choose 1 answer: (Α) 7 5 B 7 5 С 5 7 D 5 7
Answer:
-5/7
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-3-2)/(3-(-4))
m=-5/(3+4)
m=-5/7
Please help with work and explanation
hey yall what is 34 x 45 x 567
Answer:
867510
Step-by-step explanation:
34 x 45 = 1530
1530 x 567 = 867510
hope this helped
The answer is
[tex]867510[/tex]
An airline charges $462.40 for all the passengers on the plane to have pretzels. Each
bag of pretzels is $3.40. How many passengers are on the plane?
Plz help ty
Answer:
136 people
Step-by-step explanation:
$462.40 divided by 3.40 is 136
Evaluate the expression.
1/7 divided by 2/5 - 1/7
Answer:
3/14
Step-by-step explanation:
In order to divide fractions, you'll have to find the recriprocal of 2/5. That is 5/2. So do 1/7 x 5/2 = 5/14.
So now find 5/14 - 1/7.
1/7 converted to a denominator of 14 is 2/14.
So we have 5/14-2/14 = 3/14. That is your answer.
The first thing that we should do is turn this into a mathematical formula.
[tex]\frac{1}{7} / (\frac{2}{5} -\frac{1}{7} ) = \frac{1}{7} /(\frac{9}{35} )[/tex] .
This is more generally written as
[tex]7(\frac{9}{35}) = \frac{9}{5}[/tex]
So, our answer is 9/5 or 1.8
In a carnival game, there are six identical boxes, one of which contains a prize. A contestant wins the prize by selecting the box containing it. Before each game, the old prize is removed and another prize is placed at random in one of the six boxes. Is it appropriate to use the binomial probability distribution to find the probability that a contestant who plays the game five times wins exactly twice
Answer:
The probability that a contestant who plays the game five times wins exactly twice is [tex]16.08[/tex] %
Step-by-step explanation:
We will use binomial theorem here
[tex]C_{n,k}p^k(p')^{n-k}[/tex]
Substituting the available values in above equation, we get
[tex]C_{5,2} * \frac{1}{6}^2*\frac{5}{6}^3[/tex]
[tex]0.1608[/tex]
OR
The probability that a contestant who plays the game five times wins exactly twice is [tex]16.08[/tex] %
Please please give answer for this question
Answer:
The remaining piece measures 16 m
which agrees with answer D
Step-by-step explanation:
In order to make a square of area 25 m^2, we need a square of side 5 m ,
Area of square = side^2
25 = side^2 then each side = 5 m
therefore the person needed 4 times 5 m to create the square, that is 20 m for the square. Therefore the piece that is left can be calculated with the difference:
36 m - 20 m = 16 m
The remaining piece measures 16 m
An 8ft length of 4 inch wide crown molding costs $15. How much will it cost to buy 72 ft of crown molding?
Answer:
Answer: $70
EXPLANATION
Step-by-step explanation:
Given, for a 4 inch wide crown molding:
8 ft length costs $14
Cost of 40 ft length = ?
8 ft length costs $14
To find the cost of 1 ft length,
Divide through by 8
8ft/8 length costs $14/8
1ft costs $1.75
Now, to find the cost of 40 ft length
1ft costs $1.75
1 ft x 40 would cost $1.75
40 ft would cost $70
Therefore, it would cost $70 to buy 40 ft of crown molding
Sixty-five randomly selected car salespersons were asked the number of cars they generally sell in one week. Fourteen people answered that they generally sell five cars; nineteen generally sell six cars; twelve generally sell seven cars; nine generally sell eight cars; eleven generally sell nine cars. Calculate the following. (Round your answer to two decimal places.)Data Value (# cars) Frequency Relative Frequency Cumulative Relative Frequency
Answer:
Step-by-step explanation:
From the information given:
We can compute the required calculations into a table as shown below.
[tex]\mathbf{Data \ value }[/tex] [tex]\mathbf{ Frequency }[/tex] [tex]\mathbf{Relative \ frequency}[/tex] [tex]\mathbf{Cumulative \ relative }[/tex]
[tex]\mathbf{Frequency}[/tex]
5 14 14/65 = 0.22 14
6 19 19/65 = 0.29 19+14 = 33
7 12 12/65 = 0.19 33+12 = 45
8 9 9/65 = 0.14 45 + 9 = 54
9 11 11/65 = 0.17 54 + 11 = 65
65
Note: that the relative frequency is determined by dividing each value in the frequency by the total of the frequency.
Evaluate the limit(-2n^n/4+n
Answer:
.
Step-by-step explanation:
Your friend says that the solutions to the inequality 7x-20x<52 are x<-4 Solve the inequality correctly. What error did your friend make?
What are the solutions of the inequality?
Answer:
instead of x < -4 it should be x > -4
Step-by-step explanation:
7x - 20x < 52
subtract 20x from 7x which is -13x
now the equation is -13x < 52
divide both sides by -13 but when you divide by a negative you switch the sign so it would x > -4 not x < -4
hope this helps :)
