Half of the students like football.
The students would prefer to play sports over going to school.
None of the students like tennis.
Answer:
C. The students would prefer to play sports over going to school
Step-by-step explanation:
Hope this helps :)
can u brainlist
90 like broccoli,
59 like cauliflower,
28 like both Brussels sprouts and broccoli,
20 like both Brussels sprouts and cauliflower,
24 like both broccoli and cauliflower, and
10 of the students like all three vegetables.
a) How many of the 269 college students do not like any of these three vegetables?
b) How many like broccoli only?
c) How many like broccoli AND cauliflower but not Brussels sprouts?
d) How many like neither Brussels sprouts nor cauliflower?
Answer: a) 83, b) 28, c) 14, d) 28.
Step-by-step explanation:
Since we have given that
n(B) = 69
n(Br)=90
n(C)=59
n(B∩Br)=28
n(B∩C)=20
n(Br∩C)=24
n(B∩Br∩C)=10
a) How many of the 269 college students do not like any of these three vegetables?
n(B∪Br∪C)=n(B)+n(Br)+n(C)-n(B∩Br)-n(B∩C)-n(Br∩C)+n(B∩Br∩C)
n(B∪Br∪C)=
So, n(B∪Br∪C)'=269-n(B∪Br∪C)=269-156=83
b) How many like broccoli only?
n(only Br)=n(Br) -(n(B∩Br)+n(Br∩C)+n(B∩Br∩C))
n(only Br)=
c) How many like broccoli AND cauliflower but not Brussels sprouts?
n(Br∩C-B)=n(Br∩C)-n(B∩Br∩C)
n(Br∩C-B)=
d) How many like neither Brussels sprouts nor cauliflower?
n(B'∪C')=n(only Br)= 28
Hence, a) 83, b) 28, c) 14, d) 28.
Answer:
Step-by-step explanation:
Assuming this info from R
hist(gifted$count)
## Min. 1st Qu. Median Mean 3rd Qu. Max.
## 21.00 28.00 31.00 30.69 34.25 39.00
## Sd
## [1] 4.314887
Data given and notation
represent the mean
represent the sample standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the mean is different than 32, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:
(1)
t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
P-value
The first step is calculate the degrees of freedom, on this case:
Since is a two sided test the p value would be:
0riginal break even point:
285000/ 60/35 = $166,250
New break even point = new fixed costs / ( selling price - variable cost/ selling price)
New break even point = 285,000 + 15,900. / ( 60-( 35-4.50)/60
300,900 / 60-30.50/60 = $612,000
The new break even point increases.
With the new machine, Kent Co.'s break-even point in units would decrease, from 11,400 to 10,200 units. Despite increasing fixed costs, the new machine drives down variable costs, effectively lowering the total number of units needed to cover costs.
The concept under consideration here is the break-even point calculation in unit terms. The break-even point (units) is calculated by dividing the total fixed costs by the contribution margin per unit, which is sales price per unit minus variable cost per unit.
Currently, Kent Co.'s break-even point can be found using its original costs:
If Kent were to purchase the new machine, its costs would alter as follows:
Thus, purchasing the new machine would in fact lower Kent Co.'s break-even point to 10,200 units, thereby improving its cost efficiency.
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Answer:
radius
Step-by-step explanation:
Answer:
I'm not sure what you mean by "make the subject."
I can only guess that you'd like to solve this equation for r, which might be what you're looking for.
By "solve this equation for r," what I mean is to rewrite it in the form "r = [some expression]."
This is also known as "isolating." By performing operations on both sides of the equation the task is achieved.
Step-by-step explanation:
In your example we could begin by dividing both sides by 2, as demonstrated below.
d = 2r
d / 2 = (2r) / 2
d / 2 = r or reversing the equality
r = d / 2.
That didn't require many operations, but the idea is the same for more complicated equations.
Hope this helps.
Answer:
; Domain = (-∞, ∞)
; Domain = (-∞, ∞)
; Domain = (-∞, ∞)
; Domain = (-∞,0)∪(0, ∞)
Step-by-step explanation:
The given functions are
1.
Substitute the values of the given functions.
The function is a polynomial which is defined for all real values x.
Domain of (f+g)(x) = (-∞, ∞)
2.
Substitute the values of the given functions.
The function is a polynomial which is defined for all real values x.
Domain of (f-g)(x) = (-∞, ∞)
3.
Substitute the values of the given functions.
The function is a polynomial which is defined for all real values x.
Domain of (fg)(x) = (-∞, ∞)
4.
Substitute the values of the given functions.
The function is a rational function which is defined for all real values x except 0.
Domain of (f/g)(x) = (-∞,0)∪(0, ∞)
, domain: all real numbers.
, domain: all real numbers.
, domain: all real numbers.
, domain: all real numbers.
To find (f + g)(x), we need to add the functions f(x) and g(x).
The function f(x) = x - 3 and the function
So,
Expanding this equation, we get
To find the domain of (f + g)(x), we need to consider the domain of the individual functions f(x) and g(x).
Since both f(x) = x - 3 and are defined for all real numbers, the domain of (f + g)(x) is also all real numbers.
To find (f - g)(x), we need to subtract the function g(x) from f(x).
So,
Expanding this equation, we get
The domain of (f - g)(x) is also all real numbers, since both f(x) and g(x) are defined for all real numbers.
To find (fg)(x), we need to multiply the functions f(x) and g(x).
So,
Expanding this equation, we get
The domain of (fg)(x) is all real numbers, since both f(x) and g(x) are defined for all real numbers.
To find f(g(x)), we need to substitute g(x) into the function f(x).
So,
The domain of f(g(x)) is also all real numbers, as is defined for all real numbers, and f(x) = x - 3 is defined for all real numbers.
In summary:
- , domain: all real numbers.
- , domain: all real numbers.
- , domain: all real numbers.
- , domain: all real numbers.
To Learn more about real numbers here:
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