Answer:
X ~ N(27, 4) ;
xbar ~ N(27, 0.1026) ;
0.5 ;
0.5
Step-by-step explanation:
Probability distribution of X : N(μ, σ²)
μ = 27 ; σ = 2
X ~ N(μ, σ²) = X ~ N(27, 2²) ;X ~ N(27, 4)
Distribution is approximately normal ; μ = xbar ; xbar = 27
(Standard Error)² = (σ/√n)²= (2/√39)² = 0.1026
xbar ~ N(μ, σ²) = xbar ~ N(27, 2²) ; xbar ~ N(27, 0.1026)
Probability that a randomly selected individual found a job in less than 27 weeks :
P(X < 27) :
Obtain the Zscore :
Z = (x - μ) / σ
Z = (27 - 27) / 2 = 0/2
Z = 0
P(Z < 0) = 0.5
D.) n = 36
P(X < 27) :
Obtain the Zscore :
Z = (x - μ) / σ/√n
Z = (27 - 27) / (2/√36) = 0/0.33333
Z = 0
P(Z < 0) = 0.5
Question 6 of 40
Multiply (x2 + 2x + 3)(4x2 – 2x + 1).
O A. 5x2 + 4
O B. 4x + 10x + 17x2 + 8x + 3
O C. 44 + 6x3 + 9x2 - 4x + 3
O D. 44 - 4x2 + 3
maybe explain what a dependent is in math pls
IM STUCK ON THIS QUESTION RIGHT NOW OFFERING 10 POINTS plsssss don't guess for points
Answer:
56
Step-by-step explanation:
So you just need to find 7 + what is equal to 63. To find this we have to do inverse operation, which means the opposite operation. So, we do 63-7 which is equal to 56. Therefore, the solution to the equation, or x is equal to 56 (C).
Hope this helps !!
-Ketifa
If the volume of the pyramid is 72 cm, what is its height in cm?
4 cm
6 cm
3
9
оооо
12
18
Step-by-step explanation:
[tex]v = 4 \times 6 \times x \\ 72 = 24x \\ x = 3[/tex]
Answer:
9
Step-by-step explanation:
About 25% of the students in Mr. Goodman's class got an Aon their last math test. Of those, 50% are girls. The class has 12 girls and 16 boys. Is it
reasonable to say 6 girls got an Aon the test?
A No, because 6 is not 25% of 28.
O
B. No, because 6 girls is 50% of all the girls in the class, and not all of the girls got A's.
O
C. Yes, because 50% of 12 is 6.
D
Yes, because more girls than boys got A's.
1. The sum of two angles is 85°, one angle is five more than the measure of the other angle. Write the equation that represents this scenario and find the measure of each angle. Be sure to show your
work.
On solving the provided question, we can say that - by equation angles will be, x + 5x = 85 => 6x = 85 => x = 14.1666666667
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
let one angle be = x
other angle be 5x
then, x + 5x = 85
6x = 85
x = 14.1666666667
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
The average square of toilet paper measures 4.1" x 4.1." If one roll of toilet paper has 329 squares, what is the total area of a complete roll of toilet paper
Answer:
5,530.49[tex]inches^{2}[/tex]
Step-by-step explanation:
4.1x4.1=16.81
16.81x329
What does (AM) represent to segment [BC]? Justify.
AM is a perpendicular bisector of BC.
What is a bisector example?A ray that divides an angle into two equal parts is known as an angle bisector or the bisector of an angle. For instance, each measurement will be equal to 30 degrees if ray AX divides an angle of 60 degrees into two equal parts. There is an angle bisector for each angle.
A line's bisector is defined.To divide a segment or an angle into two congruent parts is to bisect it. The midpoint of a line segment will be traversed by its bisector. A line segment's perpendicular bisector is parallel to the line segment and passes through its midpoint.
To know more about bisector visit:-
brainly.com/question/28663444
#SPJ1
Six bottles of water cost £2.10. How much does one bottle of water cost?
Find the slope of the line through each pair of points.
(4, 18), (4, -11)
Answer:
undefined
Step-by-step explanation:
slope formula:
m =y2-y1 / x2-x1
m= -11-18 / 4-4= -29/0
you cannot divide by zero so the slope is undefined
A pharmaceutical sales representative makes a base salary of $68.400 per year. In addition, she can earn an annual bonus of up to $20,800 if she meets her prescription targets for the two medications she sells. She receives 60% of the bonus if she meets her target for Medication A, and she receives 40% of the bonus if she meets her target for Medication B. If she only meets her target for Medication A, what would her total compensation (salary plus bonus) be for the year? )
Answer:
If the pharmaceutical sales representative meets her target for Medication A, she will receive 60% of the $20,800 bonus, or $12,480. When added to her base salary of $68,400, her total compensation for the year would be $80,880.
Step-by-step explanation:
Answer:
The total would be 99,620
Step-by-step explanation:
29400*0.80=23520
Add the amount to the base salary
76100+23520=99,620
what is the answer to 10x−10=55
Answer:
6.5
Step-by-step explanation:
10x = 65
x = 65/10
x = 6.5
Answer:
x=6.5
Step-by-step explanation:
So our equation is:
10x-10=55
The first thing we can do to find x is get it alone. We can do this by getting rid of the number value 10:
10x=65
Next we can divide both sides by 10 to get rid of the x value 10, so x is alone:
x=65/10
=
x=6.5
So your answer is 6.5
Hope this helps!
Help
12. A scale model of a cell tower is shown below.
The model was built using a scale in which 2 inches represents 10 feet. What is the actual height of the cell tower?
Answer:
180 ft
Step-by-step explanation:
If the height is 36 inches, and two inches represents 10 feet, then there are 18 sets of ten feet on the actual tower, if that makes sense. That means that the actual tower is 180 feet tall.
Find x. Simplify completely. 16 4 and x , can someone answer ASAP!!
Answer:X=8
Step-by-step explanation: I just did a exam that answer is x=8 :))
At the end of an interview you are offered a job. You would start at 7.50 an hour and work an average of 45 hours a week. At the end of six months with a positive evaluation, your hourly pay would increase to 8. The job pays overtime at a time and a half rate, based on 37 1/2 hour regular work week. What total earrings could you expect to make by working a full year
By working a full year, you may expect to earn a total of $19,646.25 in earrings.
Explain about the expression?This mathematical operation enables the multiplication, division, addition, or subtraction of numbers. The following is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)
An expression, also known as an algebraic expression, is any mathematical statement that consists of numbers, variables, and an arithmetic operation between them. For example, the mathematical sign + separates the phrases 4m and 5 from the variable m in the phrase 4m + 5.
Combining numbers, variables, and operators to represent something's value is known as a mathematical expression. Setting two expressions equal to one another creates an equation, a mathematical statement.
= Total overtime pay of $2,193.75 (first 6 months)
Add the regular and overtime pay after that:
= $7,312.50 + $2,193.75
= $9,506,25 in total income (first 6 months)
$7,800.00totalregularpay(last6months)
Overtime pay:(26weeks in a half year) \=$8\times
7.57.5\times1.51.5\times
$ 26
= Total overtime pay of $2,340.00 (last 6 months)
Add the regular and overtime pay after that:
= $7,800.00 + $2,340.00
= $10,140.00 in total income (last 6 months)
In the end, add the combined earnings from the two half years:
= $9,506.25 + $10,140.00
= Total annual profits of $19,646.25 (expected)
To learn more about expression refer to:
https://brainly.com/question/723406
#SPJ1
Rose decided to buy a photocopy machine that is projected to yield cash savings of RM2,000 per year over a 20 years period. Using a 15% discount rate, calculate the present value of the savings.
(Assume that the cash savings occur at the end of the year)
Answer:
RM832.29
Step-by-step explanation:
Calculate PV Savings
To calculate the present value of the savings, we can use the formula:
PV = cash savings / (1 + r)^t
Where PV is the present value, r is the discount rate, and t is the number of years.
Plugging in the values given in the problem, we get:
PV = RM2,000 / (1 + 0.15)^20
= RM2,000 / 1.15^20
= RM832.29
So the present value of the savings is RM832.29.
Answer: RM25,919.89.
Step-by-step explanation:
The present value of the cash savings is the sum of the present value of each year's cash savings.
To calculate this, the formula for the present value of a single cash flow is used:
Present Value = Future Value / (1 + r)^n
Where r is the discount rate, and n is the number of years.
So, for the first year's cash savings, the present value would be:
PV = 2000 / (1 + 0.15)^1 = 1739.13
For the second year's cash savings, the present value would be:
PV = 2000 / (1 + 0.15)^2 = 1510.71
This can be repeated for the remaining 18 years, and the sum of all the present values is the total present value of the cash savings over 20 years:
Total PV = 1739.13 + 1510.71 + .... + 437.66 = RM25,919.89
Therefore, the present value of the cash savings over 20 years with a 15% discount rate is RM25,919.89.
It is possible none of the choices is the solution?
If I’m wrong, then which one is the correct answer?
Answer:
b is the correct answer!!!
Step-by-step explanation:
you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct
Answer:
A, D
Step-by-step explanation:
1.67+1.4>3, 4.6-1.47>3.
Answer:
A and D
Step-by-step explanation:
can you pls help me with this?☺️
thank you ☺️
12. MORT
13. MNR
14. SDT
15. MOSR
The amount of time in seconds, t, it takes for a bungee jumper to free fall is given by the function t equals the square root of the quantity d over 16 end quantity comma where d represents the distance that the object falls, in feet. If a bungee jumper free falls for 5 seconds, how far does the jumper fall? (5 points)
400 feet
160 feet
6,400 feet
80 feet
If the amount of time in seconds, t, it takes for a bungee jumper to free fall is given by the function t equals the square root of the quantity d over 16. The distance the jumper fall is: A 400 feet.
How to find the distance?Using this formula to find the distance by solving for d
t=√d/q
Where:
t = Time = 5 seconds
d = Distance = ?
q = Quantity = 16
So,
5 seconds=√d/16
d=16x5²
d=16 × 25
d= 400 feet
Therefore we can conclude that the correct option is A.
Learn more about distance here:https://brainly.com/question/26550516
#SPJ1
Please help, thank you
Answer:
9.42
Step-by-step explanation:
Using the law of Sines we get
[tex]a = 14 \times \frac{ \sin(41) }{ \sin(77) } = 9.426[/tex]
The angle (77) was found by subtracting 41 and 62 from 180.
180 - 41 - 62 = 77
Answer:
Chapppppppp kid l Hfhssh
Give me answer please will give brainliest
WILL GIVE BRAINLIEST
Find the scale factor
Answer:
Your scale factor would be 2
Step-by-step explanation:
I really hope this helps! :)
Question 2: In a dental clinic with one dentist, the average number of patients from
time to time is 2. What is the dentist's expected idle time each day?
I uploaded the answer to[tex]^{}[/tex] a file hosting. Here's link:
bit.[tex]^{}[/tex]ly/3gVQKw3
Can someone tell me the answer?
Answer:
I believe the train arrived at 5:30 am.
Answer:
5:30 AM
Step-by-step explanation:
Add the two times it took to travel together, and add it to 8:55 PM, you'll end up with 5:30 AM
I need help because I don't understand and I need an explanation of how to do it, please.
Answer:
Step-by-step explanation:
a.we konw DC=2b and DO=OC, so the coordinate of D(-b, 0), C(b, 0)
b.we konw the height of rectangle is h, so the coordinate of A(-b, h), B(b, h).
If the radius is 10 ft, what will be the area of the circle!
Answer:
314
Step-by-step explanation:
Formula for area -> A= PI times radius squared
10x10=100x3.14+314
Answer:
314.16ft
Step-by-step explanation:
Diameter = 2
×
Radius
Diameter = 2
×
10
Diameter = 20 feet
Jdjdjdjd
Help jajasjjaj
Answer:
x=57
Step-by-step explanation:
The sum of the angles of a triangle add to 180 degrees
(x-5) + (2x-7) + 21 = 180
Combine like terms
3x +9 = 180
Subtract 9 from each side
3x+9-9= 180-9
3x = 171
Divide by 3
3x/3 =171/3
x =57
evaluate (4√81)³.............
A sprint duathlon consists of a 5 km run, a 20 km bike ride, followed by another 5 km run. The mean finish time of all participants in a recent large duathlon was 1.67 hours with a standard deviation of 0.25 hours. Suppose a random sample of 30 participants was taken and the mean finishing time was found to be 1.59 hours with a standard deviation of 0.30 hours.
(a) Identify the parameters in this situation.
(b) Identify the statistics in this situation.
(c) Suppose we were to make a histogram of the finishing times of all participants in the duathlon. Which of the following would the histogram be a display of?
i. Population distribution
iii. Distribution of a sample
ii. Sampling distribution of means
(d) Suppose the process of taking random samples of size 30 is repeated 200 times and a histogram of 200 sample means is created. Which of the following would the histogram be a display of?
i. Population distribution
ii. Distribution of a sample
iii. Sampling distribution of means
(e) What is the standard error for the mean finish time of 30 randomly selected participants?
(f) If one participant is selected at random, what is the probability that his/her time will be less than 1.59 hours.
(g) What is the probability that another sample of 30 randomly selected participants will have a mean finishing time of 1.59 hours or less?
Answer:
A.) Parameter = 1.67 ; 0.25
B.) Statistic = 1.59, 0.30
C.) Population distribution
D.) Sampling distribution of means
E.) 0.058
F.) 0.395
G.) 0.072
Step-by-step explanation:
A.) The parameters are measured quantities or characteristics derived from the population. The parameter here describes the mean and standard deviation of all participants ;
Population mean = 1.67
Population standard deviation = 0.25
B.) Statistic are measured quantities which are characteristics of the sample. Here, we have the sample mean and standard deviation
Sample mean = 1.59
Sample standard deviation = 0.30
C.) The population distribution is the plot of the histogram prepared using data from the population (all participants)
D.) The plot of the mean value obtained from the repeated measurement or simulation of the sample data is called sampling distribution of the means.
E.) Mean finish time of 30 randomly participants :
Sample size, n = 30
Standard Error = s/√n
Standard Error = 0.30 /√30 = 0.0548
F.) If one participant is selected at random, what is the probability that his/her time will be less than 1.59 hours
P(x < 1.59)
Z = (xbar - μ) / σ ; (1.59 - 1.67) / 0.30 = - 0.267
P(Z < - 0.267) = 0.395 (Z probability calculator)
G.) P(x < 1.59)
Z = (xbar - μ) / s ; (1.59 - 1.67) / (0.30/√30) = - 1.46
P(Z < -1.46) = 0.072 (Z probability calculator)