When testing for independence in a contingency table with 4 rows and 4 columns, there are 9 degrees of freedom.
What is Degree of Freedom?
The largest number of logically independent values—that is, values with the freedom to change—in the data sample is referred to as the degree of freedom. When calculating degrees of freedom, one is subtracted from the total number of items in the data sample.
The degrees of freedom are (r - 1)(c - 1) when evaluating the independence of characteristics in a contingency table with r rows and c columns.
Given, rows = 4
columns = 4
degree of freedom = (r - 1) (c - 1)
= (4 - 1) (4 - 1)
= (3)(3)
= 9
So the degree of freedom contingency table with 4 rows and 4 columns will be 9.
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In any given year, a factory has a 10% probability of having a serious accident. About every how many years might the factory expect to have an accident?
Since the probability of having a severe accident is 10% in any given year, the factory might expect to experience one accident every 10 years.
What is probability?Probability refers to the likelihood of an event occurring from many possible outcomes.
Probability shows the ratio or percentage of an outcome happening.
Probability is always stated as a proportion of an occurrence.
Data and Calculations:The probability of a severe accident = 10%
The number of years when an accident should be expected = 100/10 = 10 years
In 10 years, when an accident might occur = 1 times (10 x 10%).
Thus, under probability, the factory might expect to experience one accident every 10 years.
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An isolated agricultural country has two distinct regions: a lowland plain and an upland of rugged hills. On one unit of land on the PLAIN, a farmer can raise 10 bushels of grain or graze 10 sheep. On one unit of land in the HILLS, a farmer can raise 2 bushels of grain or graze 4 sheep.
Determine which region has the absolute advantage for sheep production. Explain your answer.
The region that has the absolute advantage for sheep production is in the hills because food grows faster when exposed to heat and rain water.
How to illustrate the information?It shouldbe noted as opposed to being exposed to sunlight all day, food develops more quickly in the hills when it is exposed to heat and rain.
For uphill = 10 sheep = 10 bushels
For uphill = 1 sheep = 1 bushels
For down plain = 4 sheep = 2 bushels
For down plain = 1 sheep = (1 / 2 ) bushels
Therefore, then for 1 sheep, it should be noted that 1 bushel is required in the hills.
Therefore, the region that has the absolute advantage for sheep production is in the hills because food grows faster when exposed to heat and rain water.
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4. Marilyn purchased 2,000 shares of stock for $25.43 per share. She
sold them for $44.10 per share. Express her capital gain to the near-
est tenth of a percent.
O $37,340.0
O $18.67
O $18.7
O $139,060.0
Answer: c
Step-by-step explanation:
10 customers entered a store over the course of 4 minutes. At what rate were the customers entering the store in customers per minute?
The rate of customers entering the store in 1 minute is 2.5 customers per minute.
What do we mean by ratio?A ratio in mathematics indicates how many times one number contains another. For example, if a bowl of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, and the orange to total fruit ratio is 8:14.So, the ratio is 10 : 4.
Now,
10 : 4Divide both sides by 4 as follows:
10/4 : 4/42.5 : 1Therefore, the rate of customers entering the store in 1 minute is 2.5 customers per minute.
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Simplify each algebraic expression
8(x+6)-6(x+1)+2
Answer:
2x + 44 (or) 2(x + 22)
Step-by-step explanation:
Let's solve the problem,
→ 8(x + 6) - 6(x + 1) + 2
→ 8x + 48 - 6x - 6 + 2
→ 2x + 48 - 4
→ 2x + 44
Thus, the answer is 2x + 44.
PLEASE BE FAST
Faith is going to use a computer at an internet cafe. The cafe charges $0.80 for every minute using a computer on top of an initial charge of $3. Make a table of values and then write an equation for C,C, in terms of t,t, representing the total cost of using a computer for tt minutes at the internet cafe.
Here is the table of values:
Minutes Total cost
0 $3
1 $3.80
2 $4.60
3 $5.40
The equation representing the total cost is C = $3 + $0.80tt
What is the total cost?The total cost of using a computer is a function of the initial charge, cost per minute and total number of minutes the computer was used.
Total cost = initial charge + (cost per minute x number of minutes)
C = $3 + ($0.80 x tt)
C = $3 + $0.80tt
Total cost when the computer is used for one minute: C = $3 +( $0.80 x 1) = $3.80
Total cost when the computer is used for two minutes: C = $3 +( $0.80 x 2) = $4.60
Total cost when the computer is used for three minutes: C = $3 +( $0.80 x 3) = $5.40
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Roger hiked 7 ½ miles in 3 hours. At this constant rate, how many miles can he hike in 1 hour?
Answer: 2.5 mi/hr. 7.5/3= 2.5
Step-by-step explanation:
T value and degrees of freedom for this data step by step
Answer:
resposta é 400
Step-by-step explanation:
não sei a explicação para isso
Please help me with this. I will give an Brainly and bunch of extra points.
Answer: Door 2
Step-by-step explanation:
Only one of the doors can be true. If the sign on door 2 is false, that means there is neither a lady or tiger behind the doors. That means door 1 is false. Which means the lady is not in door 1, so she must be behind door 2.
thirteen of the 50 digital video recorders (DVRs) in an inventory are known to be defective. what is the probability that a randomly selected item is defective?
Answer:
13/50
Step-by-step explanation:
P(defective) = Number of defective items ÷ total number of items
= 13 defective ÷ 50 total = 13/50
In selecting a day care center for your lit-
tle brother, your parents have narrowed the
choice to three centers. They will choose the
center with the smallest child-adult ratio.
Center Adults
Sunnyside
11
Westside
11
Little Ones
13
What is the least child - adult ratio?
Children
77
88
39
The day care center with smallest child to adult ratio is Little Ones Day Care Center with the ratio 3 : 1.
What is Ratio?In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.
Given is a table that shows the number of adults and children in a given day care center.
The day care center with smallest child - adult ration can be found by separately finding the child - adult ratio for each center.
1 → Sunnyside Day Care Center.
The ratio of children to adult at Sunnyside Day Care Center is given by -
77/11 = 7 : 1
2 → Westside Day Care Center.
The ratio of children to adult at Westside Day Care Center is given by -
88/11 = 8 : 1
3 → Little Ones Day Care Center.
The ratio of children to adult at Little Ones Day Care Center is given by -
39/13 = 3 : 1
On comparing -
3 : 1 < 7 : 1 < 8 : 1
Hence, the day care center with smallest child to adult ratio is Little Ones Day Care Center with the ratio 3 : 1.
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The least child-adult ratio will be the division of the numbers 11 by 88. Then the least child-adult ratio will be 1/8.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
Your parents have limited the field of options for your younger brother's daycare to only three facilities. They'll pick the facility with the lowest child-to-adult ratio.
Center Adults Children
Sunnyside 11 77
Westside 11 88
Little Ones 13 39
The least child-adult ratio will be the division of the numbers 11 by 88. Then the ratio will be given as,
⇒ 11 / 88
⇒ 1/8
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Chelsea is trying out for her school play. Using subjective probability, she estimates that she has an 80% chance of getting a part and a 25% probability of landing a lead role.
From the given probabilities, the odds are given as follows:
Getting a part: 4:1.Lead role: 1:3.What is the missing information?This problem asks for the odds of both events whose probabilities are given.
What are probabilities and odds?A probability is given by the number of desired outcomes divided by the number of total outcomes.An odd is given by the number of desired outcomes divided by the number of non-desired outcomes.Hence, an odd can also be expressed as follows:
Odd = probability/(1 - probability)
Hence the odds are given as follows:
Getting a part: 0.8/(1 - 0.8) = 0.8:0.2 = 4:1.Lead role: 0.25/(1 - 0.25) = 0.25:0.75 = 1:3.More can be learned about probabilities and odds at https://brainly.com/question/25683609
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Ginny's account after withdrawal?
Account balance of Ginny after withdrawal = $ 20 .
Given : Ginny's account balance before withdrawal ie . $ 40
Her withdrawal amount ie . $ 20
To find : account balance after withdrawal
Calculation : Opening balance = $ 40 ie . initially Ginny had $ 40 .
After withdrawal ( taking out ) of $ 20 ,
Ginny has 40 - 20 = $ 20 left .
After adjustment , final amount = $ 20 .
Therefore , account balance of Ginny after withdrawal = $ 20 .
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K-
Complete the table with exact trigonometric function values. Do not use a calculator.
0
sin 0
cos0
cot 0
csc 0
√2
√√2
2
2
135°
0
sin 0
√2
2
135°
tan 0
?
?
tan 0
cos0
√2
-√√2
√2
2
(Simplify your answers, including any radicals. Use integers or fractions for any numbers in the expres
sec 0
cot 0
√√2
√2
sec 0
csc 0
The values of trigonometric function are tanθ = -1 and cotθ = -1.
What are Trigonometric functions?Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.
We have been given that trigonometric function
⇒ sinθ = √2/2
⇒ cosθ = -√2/2
We have to determine the function of tanθ and cotθ
Since tanθ = sinθ/cosθ
Substitute the values of sinθ = √2/2 and cosθ = -√2/2, we get
⇒ tanθ = (√2/2)/(-√2/2)
⇒ tanθ = (√2/2)×(-2/√2)
⇒ tanθ = -1
Since cotθ = cosθ/sinθ
Substitute the values of sinθ = √2/2 and cosθ = -√2/2, we get
⇒ cotθ = (-√2/2)/(√2/2)
⇒ cotθ = (√2/2)×(-√2/2)
⇒ cotθ = -1
Therefore, the values of trigonometric function are tanθ = -1 and cotθ = -1.
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I will mark brainliest!!
Answer choices are:
A. a 180 degrees clockwise rotation about the origin
B. a dilation with a scale factor of 6
C. a 90 degrees clockwise rotation about the origin
D. a reflection over the line x=6
Which of the following would help reduce labor costs a multiply cost by 0.30 or 30% be getting produce directly from a farm C eliminating overtime D reducing waste food in the using energy efficient lightbulb
The best way to reduce the labor costs is to eliminating overtime. Thus option C is correct.
According to the statement
We have to find that the correct option.
So, For this purpose, we know that the
The cost function can be used to find the average cost, which is the average amount of money it costs to produce a unit.
From the given information:
We have to find the method to reduce labor costs.
Then
Option a is not correct because Reducing food waste is not control this
and Getting produce directly from a farm is also not correct and Multiply costs by 0.30 or 30% and Using energy efficient light bulbs is a wrong option.
then
By eliminating the overtime of the labor from the labor cost we reduce the labor costs.
So, The best way to reduce the labor costs is to eliminating overtime. Thus option C is correct.
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6. What value of x cannot be evaluated in the function r(x)? r(x)=x+13/x-3
Answer:
i'm pretty sure it's C.
Step-by-step explanation:
3/7 converted into a decimal
(Divide it)
Answer:0.428
Step-by-step explanation:
the gas/oil ratio for a certain chainsaw is 20 to 1 a.how much oil (in gallons) shouls be mixed with 8 gallons of gasoline b.if 1 gallon equals 128 fluid ounces write the answer to part a in fluid ounces
As per the given ratio
a. Quantity of oil mixed with 8 gallons of gasoline is (8/20) gallons.
b. If 1 gallons=128fluid ounces then (8/20)gallons=51.2 fluid ounces.
As given in the question,
(Gas /oil) ratio=20: 1
Let x gallons of oil mixed with 8 gallons of gasoline
a.
21:1=8 : x
⇒x=(8/20) gallons
b.
1 gallon=128 fluid ounces
⇒(8/20)gallons=(8/20)×128
=51.2fluid ounces
Therefore, as per the given ratio
a. Quantity of oil should be mixed with 8 gallons of gasoline is (8/20) gallons.
b. If 1 gallons = 128fluid ounces then (8/20)gallons=51.2 fluid ounces.
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it says i got s.a wrong.
Answer:
Surface area is also 384.
Step-by-step explanation:
A = 12 × 12 + 12 × √(12/2)² + 8² + 12 × √(12/2)² + 8² = 384
It takes 90 pounds of seed to completely plant a 12 acre field. How many acres can be planted per pound of seed?
Answer:
There are 0.13 acres per pound of seed.
Step-by-step explanation:
Give Brainliest if I helped!
DIG DEEPER There are
9 pigeons on a curb. 3 of
them fly away, and some
of them jump down to the
street. There are 4 left. How
many pigeons jumped down
to the street?
There are 2 pigeons jumped down to the street.
Total no. of pigeons on a curb=9
No. of pigeons fly away=3
No. of pigeons stayed in the curb=4
Thus, the total number of pigeon that jumped down to the street is 9 - 3 - 4 = 2
This exemplifies the pigeonhole principle, which asserts that if there are more pigeons than there are pigeonholes, then there must be at least one pigeonhole with at least two pigeons in it. II) We can state that at least one box contains two or more objects if n + 1 things are placed within n boxes.
Hence, there are 2 pigeons jumped down to the street.
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There are 2 pigeons jumped down to the street.
Total no. of pigeons on a curb=9
No. of pigeons fly away=3
No. of pigeons stayed in the curb=4
Thus, the total number of pigeon that jumped down to the street is 9 - 3 - 4 = 2
This exemplifies the pigeonhole principle, which asserts that if there are more pigeons than there are pigeonholes, then there must be at least one pigeonhole with at least two pigeons in it. II) We can state that at least one box contains two or more objects if n + 1 things are placed within n boxes.
Hence, there are 2 pigeons jumped down to the street.
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Determine the relationship between set A and set Bif An B=0.
The intersection between A and B gives the empty set, so we can conclude that there are no common elements between the sets A and B.
What is the relationship between set A and set B?
Here we only know that:
A ∩ B = ∅
First, the intersection between two sets (defined by the symbol ∩ ) is the set of all the common elements between the two sets.
In this case we can see that the intersection between A and B gives the empty set, this means that there are no common elements between the sets A and B.
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$3100.00 is invested in an
account with a 3.2% interest rate
that is compounded quarterly.
How much money is in the
account at the end of one year?
30. Place the following values in order from
greatest to least:
3п, 4√5, 5√4
What is the answer yes or no?
Answer:
yes.
Step-by-step explanation:
A farm stands sells oranges in 3lb bags for 3.75 what equation repesnts the cost pounds of oranges
Two equal expressions combine to make an equation, where c=1.25p.
How do equations work?When two equal expressions are combined with the aid of the equal sign "=," an equation is created!
Considering that the farm stand charges $3.75 for 3-lb bags of oranges. As a result, the price of a pound of oranges is
A pound of oranges costs $3.75/3.
= $1.25
If the price, then, is, for p pounds of oranges,
Cost, c = Oranges' price per pound times the quantity of pounds
= $1.25 x p
c = 1.25p
Therefore, the cost pounds of oranges c-1.25p.
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Which expression represents the sum of 8 and twice m in algebra
The time is now 9am on the analogue clock. Determine the number of times in the next 12 hours the hour hand and the minute hand coincided
In analog clock, The number of times in the next 12 hours the hour hand and the minute hand coincided is the 11 times.
According to the statement
We have to find that the number of times in the next 12 hours the hour hand and the minute hand coincided.
So, For this purpose, we know that the
An Analog Clock is a clock having the numbers 1 to 12 or equivalent Roman numerals around its face and three distinct moving hands to show seconds, minutes, and hours.
From the given information:
The time is now 9am on the analogue clock. Determine the number of times in the next 12 hours the hour hand and the minute hand coincided
Then
we know that the
The hands of a clock coincide 11 times in every 12 hours (Since between 11 and 1, they coincide only once, i.e., at 12 o'clock).
AM
12:00,1:05,2:11,3:16,4:22,5:27,6:33,7:38,8:44.
So, In analog clock, The number of times in the next 12 hours the hour hand and the minute hand coincided is the 11 times.
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Actual lengths of stay at a hospital’s emergency department in 2009 are shown in the following table (rounded to the nearest hour). Length of stay is the total of wait and ser- vice times. Some longer stays are also approximated as 15 hours in this table.
The mean and the variance of the given discrete distribution are as follows:
Mean: 5.0563 minutes.Variance: 7.9365 minutes².What is the missing information?The distribution of waiting times is missing, and is given by the image at the end of the answer.
The question is also incomplete, but it asks for the mean and the variance of the distribution.
What are the mean and the variance of a discrete distribution?The mean of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.The variance is given by the sum of the differences squared between each observation and the mean, multiplied by it's respective probability.Hence, from the distribution off the image, considering the percentages as the probabilities, the mean is given by:
E(X) = 0.0299 x 1 + 0.1026 x 2 + 0.1496 x 3 + 0.2265 x 4 + 0.1581 x 5 + 0.1368 x 6 + 0.0769 x 7 + 0.0214 x 8 + 0.0299 x 9 + 0.0299 x 10 + 0.0385 x 15 = 5.0563 minutes.
Then, considering the mean found above, and it's formula, the variance is given as follows:
V(X) = 0.0299 x (1 - 5.0563)² + 0.1026 x (2 - 5.0563)² + 0.1496 x (3 - 5.0563)² + 0.2265 x (4 - 5.0563)² + 0.1581 x (5 - 5.0563)² + 0.1368 x (6 - 5.0563)² + 0.0769 x (7 - 5.0563)² + 0.0214 x (8 - 5.0563)² + 0.0299 x (9 - 5.0563)² + 0.0299 x (10 - 5.0563)² + 0.0385 x (15 - 5.0563)² = 7.9365 minutes².
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