Answer: 169.2 per acre are produced if a field is in the top 25%.
Step-by-step explanation:
Given: The mean rain-fed corn yield of harvested fields are normally distributed, produce 147.2 bushels per acre with a standard deviation of 33 bushels per acre.
Let X denote the mean rain-fed corn yield of harvested fields.
Let x denotes the number of bushels per acre are produced if a field is in the top 25%.
Top 25% on a density curve means , (100-25%)i.e. 75% area lies below x.
I.e.
[tex]P(X<x)=P(\dfrac{X-\mu}{\sigma}<\dfrac{x-147.2}{33})=0.75\\\\\Rightarrow\ P(Z<\dfrac{x-147.2}{33})=0.75\ \ [Z=\dfrac{X-\mu}{\sigma}][/tex].
Z-score for p-value of 0.75 (one tailed)=0.67 [By z-table]
Then, [tex]\dfrac{x-147.2}{33}=0.6744[/tex]
[tex]\Rightarrow\ {x-147.2}=33\times0.67\\\\\Rightarrow\ {x-147.2}=22.11\\\\\Rightarrow\ {x}=22.11+147.2=169.31[/tex]
Here approx value is 169.2 (from options).
So, 169.2 per acre are produced if a field is in the top 25%.
The manager of a movie theater randomly surveyed 50 people who entered the movie theater on Friday. The manager asked about the
type of movie each person preferred. The results of the survey are shown in the table.
Survey Results
Type of Movie Number of People
Horror
12
Comedy
15
Action
17
Drama
6
Based on the results in the table, which statement about a person who will go to this theater next Friday is true?
O A. The person is three times as likely to prefer comedy as horror.
OB. The person is twice as likely to prefer drama as horror.
o C. The person is less likely to prefer horror or drama than action.
D. The person is more likely to prefer horror or comedy than action or drama.
Answer:
D.
Step-by-step explanation:
Horror (12) + Comedy (15) = 27
Action(17) + Drama(6) = 23
27 > 23
The statement that is true is a person who will go to this theatre next Friday is more likely to prefer horror or comedy than action or drama.
What is Probability?The probability helps us to know the chances of an event occurring.
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
As is given that the total number of people surveyed is 50, while the table suggests the preferences of the people about the movie.
Therefore, if take the probability of a person watching a horror or comedy movie it will be,
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
[tex]\rm Probability=\dfrac{\text{Number of people preferring Horror or comedy}}{\text{Total Number of people surveyed}}\\\\Probability = \dfrac{12+15}{50} = 0.54[/tex]
The probability of a person watching an action or drama movie it will be,
[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
[tex]\rm Probability=\dfrac{\text{Number of people preferring Action or drama}}{\text{Total Number of people surveyed}}\\\\Probability = \dfrac{17+6}{50} = 0.46[/tex]
Since the probability of a person watching a horror or comedy movie is more, therefore, a person who will go to this theatre next Friday is more likely to prefer horror or comedy than action or drama.
Thus, the statement that is true is a person who will go to this theatre next Friday is more likely to prefer horror or comedy than action or drama.
Learn more about Probability:
https://brainly.com/question/795909
Can someone help me thats really good at math and knows what there doing). Victoria is 4 years older than her neighbor. The sum of their ages is no more than 14 years. Enter an inequality that can be used to represent this situation in tbe box, where x represents Victoria's neighbor's age. ( Will Mark Brainliest need to get an excellent grade
v is 4 more tha x
v=4+x
sum is no more than 14
v+x≤14
sub 4+x for v
4+x+x≤14
4+2x≤14
minus 4 both sides
2x≤10
divide both sides by 2
x≤5
5+4=9
the neighboor's age is 5 years
and victoria is 9
If f(x) = 2 ( x - 5)
Find: f19)
:(
Answer:
28
Step-by-step explanation:
All you have to do is to plug the number that is in parentheses -> f(x), in this case, is 19 therefore all you really had to do is to plug 19 into the equation and then solve.
HI this is problably the hardest question for me to do in my head without Alexa or google but here's my question " I get money for my grades I have 7 classes, and each A+ gives me 10 dollars (lets just say I'm a perfect student and get A's always) but I only get money on my final grade, every final grade appears every 9 weeks" so here's the thing how much money can I get before the year ends?
b/4 + 1/7 = 15, what is b?
Answer:
b= [tex]\frac{416}{y}[/tex] = 59.429
Answer:
b = 416/7
Step-by-step explanation:
b = 416/7 or you could say 59.4
What is the value of n?
14. Food bill: $80.40
Sales tax: 5%
Tip: 10%
Answer:
Determine the total coast
total cost=orignal price+sale tax+tip Write the formula
=80.40+5% . 80.40+10%.80.40 subtitute the values
=80.40%0.05.80.40+0.10.80.40 Show percent as decimal
=80.40+4.02+8.04 Multiply the values
=92.46 Add the values
Step-by-step explanation:
Which relation has a range of {0, 1, 2, 3}? (idk if its option 3 or not I just chose a random one)
Answer:
Option 1
Step-by-step explanation:
Remember that range is the x values or the input. So in this case the inputs {0, 1, 2, 3} are all matching the ones in option one!
Hope this helps and have a great day!
find the distance between "A (1,-2) and B (-2,2)
using Distance formula
Find the missing side?
Answer:
Hey there!
Pythagorean Theorem: a^2+b^2=c^2
16+25=c^2
41=c^2
c=6.4
Let me know if this helps :)
what is 50000000 divided by 5000000
Answer:
10
Step-by-step explanation:
because if you divide it by it self that is what it is
Answer:
10
Step-by-step explanation:
50 million divided by 5 million would be 10. what you do is if the 5 is the same then it is one, after that since 50 million has 1 more zero then 5 million then you add a zero to the right of one. Therefore the answer is 10.
hope I helped.
help to solve -2 = -n + 8
Answer:
n = -5
Hope it helps u mate
Bob and Tom each have a bag of 100 chocolate candies. Bob has 53 left and Tom has
Part A
Color in each picture to show how many pieces of candy each boy has left
Bob
Tom
Part 3
Use decimals and symbols to show which boy has more candies left
В І цах, х
2020 luminate Education in
Answer:
He has 47
Step-by-step explanation:
if one guy has 50 it wold make sense to give the other 50 but since he has 53 then he must have 47
I need t o know which is prime
Answer:
Number greater than 1 that is not a product of two smaller natural numbers.
Solve the following equation
(1) 7x2 + 2x - 1 = 0
Answer:
-6.5
Step-by-step explanation:
For questions 4-5, decide whether each table of values describes a function or not.
Label each table with "Function" or "Not a function." In each case, explain your
reasoning
x
0 1.5 2 2.5 3 3.5 4
Fx) 0 5
5 8
88
9
Label:
Explanation:
Answer:
Function
Step-by-step explanation:
Two different X's could equal the same Y value so this is a function. Remember if there's multiple of the same input (x) equalling different outputs (y) then it is not a function. If there's multiple inputs (x) equalling the same output (y) it's just coincidence and works.
There are 3 consecutive integers that have a sum of 15. Which integers are they?
Answer:
4, 5, 6
Step-by-step explanation:
The average of the three is the middle one: 15/3 = 5. Three consecutive integers with 5 in the middle are ...
4, 5, 6
If f(x) = sin(ln(2x)), then f’(x)=
Answer:
B. cos(ln(2x))/x
Step-by-step explanation:
We know that the inverse of sin is cosine. Note, arcsin means the same thing as inverse sin:
sin(ln(2x))Because sin (a) = sin (b) --> a = arcsin (b)
Therefore: ln(2x) = arcsin(y)Solve ln(2x)=arcsin(y) for x(e^arcsin(y))/2Subsitute y = x
(e^arcsin(x))/2Therefore, we get the answer as cos(ln(2x))/xHow to solve this question ?
Step-by-step explanation:
eight times the difference of 2 and a number would be 8 × (2-x)
ITS EASY PLS HELP !!!
Answer:
26/9
Step-by-step explanation:
If you get it right I will give brainiest.
What is 6 5/7 as a improper fraction What is 6 5/7 as a improper fraction?
Answer:
47/7
Step-by-step explanation:
6 5/7
=6×7+5/7
=47/7
The value of improper fraction is, 47/7.
What is Fraction?The number is expressed as a quotient in which the numerator is divided by the denominator is called fraction.
We have to given that;
The fraction is,
⇒ 6 5/7
Now, We can write the improper fraction as;
⇒ 6 5/7
⇒ (6×7 + 5) / 7
⇒ 47 / 7
Learn more about the fraction visit:
https://brainly.com/question/5454147
#SPJ2
which table has a constant of proportionality between Y and X of 1/6?
Answer:
C.
Step-by-step explanation:
Hope it helps!!
Answer:
C
Step-by-step explanation:
khan also person above
I need help I don't get this question
Answer:
6 Books
Step-by-step explanation:
If he read 3 books for 8 week that is 24 books and then 30-24 is 6
Answer:
6 more books
Step-by-step explanation:
8*3 is 24 and he needs to read 30 books so 30-24 is 6, so he needs to read 6 more books.
Hank is a salaried plus commission employee. Hank has a monthly salary of $2,500 and earns 5.5% commission on all
sales. Which of the following expressions represents Hank's total earnings in one month if he has $6,300 in sales?
a. 2,500 + (0.055)(6,300)
b. 2,500 + (5.5)(6,300)
C. (2,500) (5.5) + 6,300
d. (2,500) (0.055) + 6,300
Answer:
the answer is A.
Step-by-step explanation:
took the test just now
The right expression for the salary will be 2500 + (0.055)(6300). The correct option is A.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Hank is a salaried plus commission employee. Hank has a monthly salary of $2,500 and earns a 5.5% commission on all sales.
The expression for the salary can be written as below:-
Salary = 2,500 + (0.055)(6,300)
Here part 2500 will be the fixed salary and (0.055)(6300) will be commission part.
Therefore, the right expression for the salary will be 2500 + (0.055)(6300). The correct option is A.
To know more about an expression follow
https://brainly.com/question/723406
#SPJ6
Simplify the expression: 5(n − 6)
Answer:
5n-30
Step-by-step explanation:
5 times n= 5n. 5 times -6 is -30. 5n-30.
There are 321 crayons in a box and 204 crayons on the floor. About how many fewer than 1,000 crayons are there? Estimate. Then solve. The estimated number of crayons fewer than 1,000 is . The exact number of crayons fewer than 1,000
Answer:
See below
Step-by-step explanation:
The estimated number:
300 + 200 = 500The difference between the estimated number an 1000 is:
1000 - 500 = 500The exact number:
321 + 204 = 525The difference between the exact number and 1000 is:
1000 - 525 = 475What is the answer to 4/15 - 1/9?
Answer:
7/45
Step-by-step explanation:
I hope this helps!
What is the value of the expression below when y=6
Answer:
35
Step-by-step explanation:
6x6=36
36-1=35
Could I please have BRAINLIEST.
The value of the give expression for y=6 is 2.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is y²-5y-4.
Substitute y=6 in the given expression, we get
6²-5×6-4
= 36-30-4
= 2
Therefore, the value of the give expression for y=6 is 2.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ2
"Your question is incomplete, probably the complete question/missing part is:"
What is the value of the expression below when y=6.
y²-5y-4
Help the question is in this picture
Answer: C
Step-by-step explanation:
Answer:
7x^2+2x+3
Step-by-step explanation:
Add all the like terms
