A local college is forming a seven-member research committee having one administrator, three faculty members, and three students. There are five administrators, 14 faculty members, and 18 students in contention for the committee. How many seven-member committees are possible
Answer:
1485120
Step-by-step explanation:
Since the order of arrangement does not matter, we use combination :
Recall :
nCr = n! ÷ (n-r)!r!
For administrator : 1 out of 5 :
5C1 = 5! ÷ (5-1)!1!
For faculty members : 3 out of 14 :
14C3 = 14! ÷ (14 - 3)!3!
For students : 3 out of 18 :
18C3 = 18! ÷ (18 - 3)!3!
5C1 * 14C3 * 18C3 = 1485120
The train will take one hour, then the bus will take two and a half hours. I need to allow half an hour to change between them. How long will the whole journey take?
Answer:
Step-by-step explanation:
answer: 4 hours
The Journey will take 4 hour.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
The train will take one hour.
and, bus will take two and a half hours.
Also, half an hour to change between them.
So, the total time taken is
= 1 + 2.5+ 0.5
= 4 hours
Hence, the total hour is 4 hour.
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5/14 x 7/30 in its simplest form
Answer:
Step-by-step explanation:
1/12
Quesion is in picture
Answer:
answe is option 3 is currect ans
Answer:
(x + 1)(x + 2
________
2
Step-by-step explanation:
Good luck.
What is the surface area of the pyramid?
-------------------
[tex]let ~b=8~m,h=6in[/tex]
[tex]SA=4(bh/2)+b^2[/tex]
[tex]=2(8)(6)+(8)^2[/tex]
[tex]=96+64[/tex]
[tex]=160in^2[/tex]
------------------------hope it helps...have a great day!!Here is a system of equations. Is (1,3) a solution to this system of equations? Explain how determined your answer. Show your work!
4x + 5y = 19
x + 5y = 16
At the beach, 49% of people have red towels and 11% have blue towels. If the
rest have white, what percentage of the people at the beach have white
towels?
Answer: 40%
Step-by-step explanation:
Percentage of people that have red towels = 49%
Percentage of people that have blue towels = 11%
Therefore, the percentage of the people at the beach have white
towels will be:
= 100% - (49% + 11%)
= 100% - 60%
= 40%
Therefore, the answer is 40%.
Answer:
40%
Step-by-step explanation:
Just took the test
A two-sample t-test for a difference in means will be conducted to investigate whether the average amount of money spent per customer at Department Store M is different from that at Department Store V. From a random sample of 35 customers at Store M, the average amount spent was $300 with standard deviation $40. From a random sample of 40 customers at Store V, the average amount spent was $290 with standard deviation $35. Assuming a null hypothesis of no difference in population means, what is the test statistic for the appropriate test to investigate whether there is a difference in population means?
The test statistic is 1.145 for the appropriate test to investigate whether there is a difference in population means.
A test statistic is a numerical value calculated from sample data in hypothesis testing.
Given that
Sample 1: Store M
Sample size, [tex]n_1[/tex] = 35,
Sample mean, [tex]\bar{X_1}[/tex] = 300,
Standard deviation, [tex]s_1[/tex] = 40.
Sample 2: Store V
Sample size, [tex]n_2[/tex] = 40,
Sample mean, [tex]\bar{X_2}[/tex] = 290,
Standard deviation, [tex]s_2[/tex] = 35.
The null hypothesis, [tex]H_o[/tex] : there is no difference in population means, i.e.,
[tex]\mu_1 =\mu_2[/tex].
The alternate hypothesis, [tex]H_1[/tex] : there is a significant difference in population means, i.e.,
[tex]\mu_1 \neq\mu_2[/tex].
Under the null hypothesis, the test statistic is
[tex]t = \dfrac{\bar{X_1}-\bar{X_2}}{\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2} }}[/tex]
[tex]= \dfrac{300-290}{\sqrt{\frac{40^2}{35}+\frac{35^2}{40} }}\\=\dfrac{10}{\sqrt{\frac{1600}{35}+\frac{1225}{40} }} \\=\dfrac{10}{\sqrt{45.714+30.625 }} \\=\dfrac{10}{\sqrt{76.339 }}\\=\dfrac{10}{8.737}\\=1.145[/tex]
Hence the test statistic is 1.145.
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The cost of making a shirt is half of what the shirt normally sells for. Today, however, the shirt is 15% discount feom it’s normal price. What is the current price of the shirt.
Solve for the variable then find the missing angle.
Answer:
Step-by-step explanation:
40+40=3x+20(sum of two interior opposite angle is opposite to the exterior angle formed)
=80=3x+20
=80-20=3x
=60/3=x
=20=x
substitute the value of x
=3x+20
=3*20+20
=60+20
=80
v+71=107 degree(sum of two interior opposite angle is equal to the external angle formed)
=v=107-71
=v=36 degree
Pleaseee answer thisss!!
76+2x=180
180-76=2x
104=2x
X=52
Answer:
x=52
Step-by-step explanation:
360=76+90+90+2x
2x=360-256
x=104/2
x=52
f. 10 20
30 40 50
60 70
20
Answer the following questions on multiples.
a. Write down the multiples of three from 474 to 483.
b. Write down the multiples of 5 between 718 and 733.
е
are 120,725,730.
c. Which of the following numbers in
Answer:
i don't understand the question please
Choose the correct expression for each Written in word form.8 less than the product of 3 and j
Answer:
3j - 8
Step-by-step explanation:
Find all solutions
for cotx=-1
Answer:
[tex]\cot(x) = -1[/tex] whenever [tex]\displaystyle x = k\, \pi-\frac{\pi}{4}[/tex] radians, where [tex]k[/tex] could be any integer ([tex]k \in \mathbb{Z}[/tex], which includes positive whole numbers, negative whole numbers, and zero.)
Step-by-step explanation:
[tex]x = 45^\circ[/tex] (as in isoscele right triangles) would ensure that [tex]\displaystyle \cot(x) = 1[/tex]. Since cotangent is an odd function, [tex]\cot(-45^\circ) = -1[/tex].
Equivalently, when the angles are expressed in radians, [tex]\cot(-\pi / 4) = -1[/tex].
The cycle of cotangent is [tex]\pi[/tex] (or equivalently, [tex]180^\circ[/tex].) Therefore, if [tex]k[/tex] represents an integer, adding [tex]k\, \pi[/tex] to the input to cotangent would not change the output. In other words:
[tex]\displaystyle \cot\left(k\, \pi - \frac{\pi}{4}\right) = \cot(-\pi / 4) = -1[/tex].
Hence, [tex]\displaystyle x = k\, \pi-\frac{\pi}{4}[/tex] would be a solution to [tex]\cot(x) = -1[/tex] whenever [tex]k[/tex] is an integer.
Since [tex](-\pi / 4)[/tex] is the only solution to this equation in the period [tex](0,\, \pi)[/tex], all real solutions to this equation would be in the form [tex]\displaystyle x = k\, \pi-\frac{\pi}{4}[/tex] (where [tex]k[/tex] is an integer.)
Multiply 0.06 by 0.021
Answer:
Just multiply:
= 0.06×0.021
= 1.26
is this the right answer I don't even know my answer
Answer:
0.00126
Step-by-step explanation:
If you just ignore the decimals for a second, and focus on the numbers, then when you multiply 6 by 21, you get 126.0. Then move the decimal over 5 spaces, because there are 5 decimal spaces in total. Sorry if my explanation is a little confusing.
Hope that this helps!
PLEASE HELP WILL CROWNNNNNN!!!!!
Answer:
12
7
2
- 3
- 8
Step-by-step explanation:
f ( - 2 )
= 2 - 5 ( - 2 )
= 2 - ( - 10 )
= 2 + 10
= 12
f ( - 1 )
= 2 - 5 ( - 1 )
= 2 - ( - 5 )
= 2 + 5
= 7
f ( 0 )
= 2 - 5 ( 0 )
= 2
f ( 1 )
= 2 - 5 ( 1 )
= 2 - 5
= - 5 + 2
= - 3
f ( 2 )
= 2 - 5 ( 2 )
= 2 - 10
= - 10 + 2
= - 8
Please help due tomorrow
Answer:
Here's What you do:
Draw a line that comes straight through the middleIt has to create 4 - 90° angles (use a protractor to measure)There's a picture attached on how a perpendicular lines should look like.
Step-by-step explanation:
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
Step-by-step explanation:
Answer
2. 3/4 of Alice's salary is the same as 1/2 of Betty's salary. If Alice
earns $200 less than Betty, how much does Betty earn?
Answer:
Betty = $600
Step-by-step explanation:
3/4 of Alice's salary is the same as 1/2 of Betty's salary
(3/4)a = (1/2)b
multiply both sides by 2
(3/2)a = b
Alice earns $200 less than Betty
b - a = 200
Substitute for b
(3/2)a - a = 200
(1/2)a = 200
multiply both sides by 2
a = 400
b = (3/2)400
b = 600
The number of residents in a city is 57,000 people. The population is increasing each
year by 1.2%. Write an equation to model this situation.
Hurry which one
A.144
B.204
C.408
D.1200
Answer:
B) 204
Step-by-step explanation:
Rectangle 12 * 12 = 144
+
(2) Triangle A=h (b/2) = 12*(5/2) = 30 each
Find the value of x that will make A||B
5x +.20
A-
7
B
3x + 60
x = [?]
Enter
Answer:
x=20
Step-by-step explanation:
Both Angles have the same value, as they are opposite angels.
Set your formula up as
5x+20=3x+60
5x=3x+60-20
2x=40
x=40/2
x=20
What is the unit of temperature to be used when answering gas law problems?
Answer:
Kelvin is used when answering gas law problems.
7 pts
You are making hamburgers for a barbeque with your family and bought 10 2/3 pounds of ground beef. If you want to make 1/3 pound hamburgers, how many burgers can you make from the pounds of ground beef?
Which expression represents 1/64
a. 2(6)
b. 8 1/2
c. -4(3)
d. 2 (-6)
Answer:
The answer is B
Hope this helps
Brainliest??
21-14d factor the expression using gcf
Answer:
7(3 - 2d)
Step-by-step explanation:
21 - 14d
7 is the lagerst common factor
7(3 - 2d)
Anna has 80 coins in her piggy bank. She notices that she only has dimes and pennies. If she has exactly four times as many pennies as dimes, how many pennies are in her piggy bank?
Answer:she has 20 pennies because
Step-by-step explanation:80 divide by 4 = 20
A is a finite non-empty set. The domain for relation R is the power set of A.(Recall that the power set of A is the set of all subsets of A.) For X⊆ A and Y ⊆A, X is related to Y if X is a proper subsets of Y (i.e., X ⊆Y). Choose the description that accurately describes relation R.
a. Symmetric and Reflexive
b. Anti-symmetric and Reflexive
c. Symmetric and Anti-reflexive
d. Anti-symmetric and Anti-reflexive
Answer:
The answer is "Choice D"
Step-by-step explanation:
Determining the information:
For "[tex]X \subseteq A[/tex] " and "[tex]Y \subseteq A[/tex]", [tex]X[/tex] relates to [tex]Y[/tex] when [tex]X[/tex] and [tex]Y[/tex] has the same cardinality. therefore, R does not have reflective:
For every "[tex]X \subseteq A[/tex]", "[tex]X= X[/tex]" So, X not proper subset of[tex]X[/tex]. So, R does not havereflexive.
R does not have symmetry:
For every "[tex]X \subseteq Y[/tex]" ,then, "[tex]Y \subset X[/tex]" is not true because [tex]X[/tex] not relate to [tex]Y[/tex]. So, R is not symmetric.
R does not have antisymmetric:
When [tex]X[/tex] relates to [tex]Y[/tex] and [tex]Y[/tex] is relate to [tex]X[/tex], then "[tex]X \subset Y[/tex]" and "[tex]Y \subset X[/tex]"[tex]\to X=Y[/tex]
Therefore, R is anti-symmetric.
Which relation is also a function?
The relation represented by graph A can be stated as function.
Thus, option (A) is correct.
A) The graph have input values {-5, -4, 0, 3, 4, 7}
and, all input have distinct output values {7, 5, 0, -1, -5}.
So, the graph is function.
B) The set {(-8, 8), (-6, 5), (-6, 4), (-3, 1), (-1, 0)} is not function.
Here, the input value -6 have two distinct output 5 and 4.
C) The table is not function.
Here, the input value 15 have outputs 2 and 3.
and 20 have two distinct output as 4 and 5.
D) The graph is not function as using verticals line test the curve have two same input value with different output value.
Thus, option (A) is correct.
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What is the answer for this question above
What is the miss angle in F?
Answer:
45
Step-by-step explanation:
The two angles add to 90 degrees since they are a right angle
F + 45 = 90
F = 90-45
F = 45