Answer:
[tex](a)\ c = \frac{1}{15}[/tex]
[tex](b)\ 40\%[/tex]
[tex](c)\ 60\%[/tex]
Step-by-step explanation:
The given parameters can be represented as:
[tex]P_Y(y) \ge 0, y =1,2,3,4,5[/tex]
[tex]P_y(y) = cy, y=1,2,3,4,5[/tex]
Solving (a): The value of c
To do this, we make use of the following rule;
[tex]\sum\limit^5_{y=1}P_Y(y_i) = 1[/tex]
Given that:
[tex]P_y(y) = cy, y=1,2,3,4,5[/tex]
This is translated to:
[tex]c*1 + c * 2 + c * 3 + c * 4 + c * 5 = 1[/tex]
[tex]c + 2c + 3c + 4c + 5c = 1[/tex]
[tex]15c = 1[/tex]
Solve for c
[tex]c = \frac{1}{15}[/tex]
(b) The proportions of applications that requires at most 3 forms
This implies that: y = 1,2,3
So, we make use of:
[tex]P(Y \le 3) = P(Y=1) + P(y=2) + P(Y=3)[/tex]
Recall that:
[tex]P_y(y) = cy, y=1,2,3,4,5[/tex]
Substitute [tex]c = \frac{1}{15}[/tex]
[tex]P_y(y) =\frac{1}{15}y[/tex]
So:
[tex]P(Y \le 3) = P(Y=1) + P(y=2) + P(Y=3)[/tex]
[tex]P(Y\le 3) = \frac{1}{15} * 1 +\frac{1}{15} * 2 +\frac{1}{15} * 3[/tex]
[tex]P(Y\le 3) = \frac{1}{15} +\frac{2}{15} +\frac{3}{15}[/tex]
Take LCM
[tex]P(Y\le 3) = \frac{1+2+3}{15}[/tex]
[tex]P(Y\le 3) = \frac{6}{15}[/tex]
[tex]P(Y\le 3) = 0.4[/tex]
Express as percentage
[tex]P(Y\le 3) = 0.4*100\%[/tex]
[tex]P(Y\le 3) = 40\%[/tex]
(c) The proportions of applications that requires between 2 and 4 forms (inclusive)
This implies that: y = 2,3,4
So, we make use of:
[tex]P(2 \le Y \le 4) = P(Y=2) + P(Y=3) + P(Y=4)[/tex]
[tex]P(2 \le Y \le 4) = 2 * \frac{1}{15} + 3 * \frac{1}{15} + 4 * \frac{1}{15}[/tex]
[tex]P(2 \le Y \le 4) = \frac{2}{15} + \frac{3}{15} + \frac{4}{15}[/tex]
Take LCM
[tex]P(2 \le Y \le 4) = \frac{2+3+4}{15}[/tex]
[tex]P(2 \le Y \le 4) = \frac{9}{15}[/tex]
[tex]P(2 \le Y \le 4) = 0.6[/tex]
Express as percentage
[tex]P(2 \le Y \le 4) = 0.6 * 100\%[/tex]
[tex]P(2 \le Y \le 4) = 60\%[/tex]
Find common ratio and series sum
Maggie is starting a small farm. In her first year, she harvests 90.000
kilograms of kale. As she gets better at planting, fertilizing and pest control,
each year her harvest increases by 3%. What is her total harvest over the
first 5 years that she owns the farm?
Represent this scenario as a finite geometric series and calculate the
sum.
Enter the total harvest of kale in
kilograms
Answer:
Her total harvest over the
first 5 years that she owns the farm is 11277 kg
Step-by-step explanation:
Maggie is starting a small farm. In her first year, she harvests 90.000 kilograms of kale.
As she gets better at planting, fertilizing and pest control,
each year her harvest increases by 3%.
So,
In First year
She owns 90,000 kg
In Second year
She owns 90,000 kg and her harvest is increases by 3%.
i.e.,
90000 × 3 ÷ 100 = 2700
So, The increase in 90,000 kg kale is 2,700
Now,
90,000 + 2,700 = 92,700 kg
In Third year
She owns 92,700 kg and her harvest is increases by 3%.
i.e.,
92700 × 3 ÷ 100 = 2781
So, The increase in 92,700 kg kale is 2781
Now,
92,700 + 2,781 = 95,481 kg
In Fourth year
She owns 95,481 kg and her harvest is increases by 3%.
i.e.,
95481 × 3 ÷ 100 = 2846
So, The increase in 95,481 kg kale is 2846
Now,
95,481 + 2,846 = 98,345 kg
In Fifth year
She owns 98,354 kg and her harvest is increases by 3%.
i.e.,
98354 × 3 ÷ 100 = 2950
So, The increase in 98354 kg kale is 2950
Now,
98354 + 2950 = 101,295 kg
Now,
In First five years She owns
2700 + 2781 + 2846 + 2950 = 11277 kg
Thus, her total harvest over the first 5 years that she owns the farm is 11277 kg
-TheUnknownScientist
The size your dog and the number of times you take it to the vet, The amount your drive to school and the amount you have to pay for gas, The number of people at your party and the number of sodas you have in the refrigerator. What correlation are all of these. None, Positive, or Negative thanks so much.
1. No correlation
Those things don't really relate to each other.
2. Positive correlation
The higher the amount you drive your car, the more you'll have to pay for gas.
3. Negative correlation
More people = less soda.
which combination of numbers of hours would allow carson to work 15 hours in one week and earn at least $96
Answer:
15x=96
x=6.4
Step-by-step explanation:
you had eight hours until you have to be on set if you will spend 3/4 of an hour driving to the TV station how much time does that leave you to get everything ready
Answer:
7 hours and 15 minutes
Step-by-step explanation:
8 - 3/4 = 7 1/4 hours
I'm stumped,
Vaughn Inc. has three divisions which are operated as profit centers. Actual operating data for the divisions listed alphabetically are as follows.
1. Student ID number at a certain University are made up of a letter, followed by six 1-digit
numbers, and then another letter (example: L132389M). How many student ID numbers are
possible if the letters cannot be repeated? [4 points]
Answer:
650,000,000 student ID numbers are possible if the letters cannot be repeated.
Step-by-step explanation:
The order in which the digits or letters are placed is important, which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
2 letters from a set of 26(permutations, as letters cannot be repeated).
6 digits, each with 10 possible outcomes.
How many student ID numbers are possible if the letters cannot be repeated?
[tex]T = 10^6 \times \frac{26!}{24!} = 650000000[/tex]
650,000,000 student ID numbers are possible if the letters cannot be repeated.
a baseball coach collected data to analyze the free throw shooting percentages of players during a game and during practice. The equation y=0.9x-1 is a line of best fit for the data, where x is the practice shooting percentage and y is the game shooting percentage. Based on the equation, what will be the approximate shooting percentage in a game for a player with a practice shooting percentage of 88?
Step-by-step explanation:
so fill in 88 where the x is so
y = 0.9 (88) - 1
y = 78.2
Donelle wants to use his dividends to purchase more stock. He owns 895 shares in a fast food company priced at $17.25. How many
shares can he afford if he earns a dividend of $0.6512 per share? Round to the next lowest share.
Answer:
34
Step-by-step explanation:
What is Monique surprised about when Priya arrives?
From the passage given, it can be deduced that the thing that surprised Monique when Priya came was B. Priya is by herself.
From the information given in the passage, it can be deduced that Monique was a cool person who doesn't like noise.
She was alone with her bottle of water when Priya came to her. Normally, Priya was the star of the girl's swim team and always had people around her. On this occasion, she was alone by herself and this surprised Monique.
Learn more about passages on:
https://brainly.com/question/25950911
Answer
Step-by-step explanation:
priya is by herself
A news article estimated that only 5% of those age 65 and older who prefer to watch the news, rather than to read or listen, watch the news online. This estimate was based on a survey of a large sample of adult Americans. Consider the population consisting of all adult Americans age 65 and older who prefer to watch the news, and suppose that for this population the actual proportion who prefer to watch online is 0.05. A random sample of n = 100 people will be selected from this population and p, the proportion of people who prefer to watch online, will be calculated.
(a) What are the mean and standard deviation of the sampling distribution of p? (Round your standard deviation to four decimal places.)
(b) Is the sampling distribution of p approximately normal for random samples of size n 100? Explain.
i. The sampling distribution of p is approximately normal because np is less than 10.
ii. The sampling distribution of p is approximately normal because np is at least 10.
iii. The sampling distribution of p is not approximately normal because np is less than 10
iv. The sampling distribution of p is not approximately normal because np is at least 10
v. The sampling distribution of p is not approximately normal because n(1 - p) is less than 10.
Answer:
a) The mean is 0.05 and the standard deviation is 0.0218.
b) v. The sampling distribution of p is not approximately normal because n(1 - p) is less than 10.
Step-by-step explanation:
Central Limit Theorem
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].
If [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], the sampling distribution of the sample proportion p will be approximately normal.
Consider the population consisting of all adult Americans age 65 and older who prefer to watch the news, and suppose that for this population the actual proportion who prefer to watch online is 0.05.
This means that [tex]p = 0.05[/tex]
A random sample of n = 100 people
So [tex]n = 100[/tex]
(a) What are the mean and standard deviation of the sampling distribution of p?
Mean [tex]\mu = p = 0.05[/tex]
Standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.05*0.95}{100}} = 0.0218[/tex]
The mean is 0.05 and the standard deviation is 0.0218.
(b) Is the sampling distribution of p approximately normal for random samples of size n 100? Explain.
[tex]np = 100*0.95 = 95 > 10[/tex]
[tex]n(1-p) = 100*0.05 = 5 < 10[/tex]
As n(1-p) < 10, it is not approximately normal, option v.
1. If mzC = 55°, then what is m D?
A. 27.5°
B. 35°
C. 55°
D. 110°
Find the midpoint of the line segment with end coordinates of:
(-2,-4) and (-1,-5)
Give coordinates as decimals where appropriate.
Answer:
The midpoint of this line segment is (-1.5, -4.5).
Step-by-step explanation:
In finding the midpoint of a line segment we are actually averaging the x- and y-coordinates of the endpoints:
-2 -1
x-coordinate of midpoint = --------- = -3/2 = -1.5
2
-4 -5
y-coordinate of midpoint = ---------- = -4.5
2
The midpoint of this line segment is (-1.5, -4.5).
wind resistance varies jointly as an objects surface area and velocity. if an object traveling at 55 miles per hour with a surface area of 20 square feet experiences a wind resistance of 220 newtons how fast must a car with 55 square feet of surface area travel in order to experience a wind resistance of 275 newtons?
Answer:
25 miles per hour
Step-by-step explanation:
Given
[tex]W = Wind\ resistance[/tex]
[tex]A = Surface\ Area[/tex]
[tex]V = Velocity[/tex]
The joint variation can be represented as:
[tex]W\ \alpha\ A*V[/tex]
Where:
[tex]V = 55; A = 20; W = 220[/tex]
Required
Find V, when: [tex]A = 55; W = 275[/tex]
We have:
[tex]W\ \alpha\ A*V[/tex]
Express as an equation
[tex]W= k *A*V[/tex]
Where k is the constant of variation
Make k the subject
[tex]k = \frac{W}{A*V}[/tex]
When: [tex]V = 55; A = 20; W = 220[/tex]
We have:
[tex]k = \frac{220}{20 *55 }[/tex]
[tex]k = \frac{220}{1100}[/tex]
[tex]k = 0.2[/tex]
When: [tex]A = 55; W = 275[/tex]
We have:
[tex]k = \frac{W}{A*V}[/tex]
Substitute: [tex]A = 55; W = 275[/tex] and [tex]k = 0.2[/tex]
[tex]0.2 = \frac{275}{55 * V}[/tex]
Make V the subject
[tex]V= \frac{275}{55 * 0.2}[/tex]
[tex]V= \frac{275}{11}[/tex]
[tex]V= 25[/tex]
El producto de un número y 56
Answer:
x+56
Step-by-step explanation:
The product of two numbers is the result you get when you multiply them together. And refers to addition.
find the perimeter and simplify your answer
Answer:
32z-14
Step-by-step explanation:
2(9z-8)+2(7z+1)
18z-16+14z+2
simplify
32z-14
Calculate the value of (1/2)^4
Answer:
D
Step-by-step explanation:
(1/2)^4 = 0.063
0.063 as a fraction is 1/16
Mr okeke has 11 $5 dollar bills he wants to give three children even a
mount
Answer:
it would be a fraction 18.333333333
Step-by-step explanation:
Please help 30 points and brainless
Answer:
Stats. for a basketball game and the graph could be a bar graph or could be a line graph. And yes the data would look good on a graph.
Step-by-step explanation:
I'm familiar with these types of problems.
Problem
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-1, -6),A(−1,−6),A, left parenthesis, minus, 1, comma, minus, 6, right parenthesis, comma B(-1,7)B(−1,7)B, left parenthesis, minus, 1, comma, 7, right parenthesis, C(1, 7)C(1,7)C, left parenthesis, 1, comma, 7, right parenthesis, and D(1, -6)D(1,−6)D, left parenthesis, 1, comma, minus, 6, right parenthesis.
Answer:
do you have a photo of the figure?
Answer:
13 units
Step-by-step explanation:
What is p shaded sector
Answer:
elaborate or take a picture so I understand the question.
Step-by-step explanation:
Montrell saves 8% of each paycheck for his college fund. This week he saved $18.80 from his paycheck, how much was he paid?
PLEASE HELP ME I RLLY NEED HELP WITH THIS
Step-by-step explanation:
hope this will help you!
How much space will the tissue box take up on
my desk if the base dimensions are 3.5 inches
and 8 inches?
square inches
Hint: Find the area of the base of the tissue box.
Answer:
3.5 x 8 = 28 in²
Identify the quadrant each ordered pair is located in.
(-5,8)
(5,8)
(-5,-8)
(5,-8)
(a) Describe the FOUR (4) methods of allocating joint costs to products. (12 marks)
(b) Weng Tai company simultaneously produces three products (X, Y and Z) from a single process. X and Y are processed further before they can be sold; Z is a by-product that is sold at split off point for RM2 per unit without incurring any further process costs. Joint costs are apportioned using the final sales value method. The sales prices of X and Y after further processing are RM40 per unit and RM35 per unit respectively. Data for April are as follows:
Joint production costs that produced 5,000 units of X, 5,500 units of Y and 3,500 units of Z 150,000
Further processing costs for 5,000 units of X 30,000
Further processing costs for 5,500 units of Y 40,000
Required:
Calculate the total costs and profit for the production of X and Y. (14 marks)
(c) Discuss THREE (3) arguments in support of variable costing and absorption costing. (12 marks)
(d) Zency Sdn Bhd produces pens. Data concerning the company’s operations last year appear as follows:
Units in beginning inventory 5,000
Units produced 50,000
Units sold 46,000
Selling price per unit RM2.50
Variable costs per unit:
Direct materials RM0.80
Direct labor RM0.50
Variable manufacturing overhead RM0.10
Variable selling and administrative overhead RM0.05
Fixed costs in total:
Fixed manufacturing overhead RM20,000
Fixed selling and administrative overhead RM10,000
Required:
Prepare an income statement for the year using absorption costing. (12 marks)
Answer:
Step-by-step explanation:
C
(a) An angle measures 86. What is the measure of its supplement?
(b) An angle measures 34. What is the measure of its complement?
Answer:
a) 94
b) 56
Step-by-step explanation:
a)
Supplement means it adds up to 180 so:
180 - 86 = 94
b)
Complement means it adds up to 90 so:
90 - 34 = 56
Natalie has 2 number pyramids each labeled 1 to 4. Natalie is going to conduct an experiment by tossing both pyramids a total of 96 times. She will find the difference of each pair of numbers rolled by subtracting the lesser number from the greater number. How many times should Natalie toss a difference of 0?
Answer:25
Step-by-step explanation:
On a map with a scale of 1:75000 the distance between a hotel and the airport is 5cm. What is the actual distance in km?
A train leaves Miami at 4:00 PM. A second train leaves the same city in the same direction at 8:00 PM. The second train travels 124mph faster than the first. If the second train overtakes the first at 10:00 PM, what is the speed of each of the two trains?
Answer:
Step-by-step explanation:
The late but fast train traveled for 2 hours while the slow but early train traveled for 6 hours.
SPEED TIME DISTANCE
SLOW EARLY r 6 d
FAST LATE r+124 2 d
Catchup means each train traveled equal distance
Can I get help with what y equals?
