Answer:
336
Step-by-step explanation:
It is given that,
Total number of individuals are 8
They are candidates for positions of president, vice president, and treasurer of an organization.
It is a based on permutations. We need to find P(8,3). It can be calculated as follows :
[tex]P(n,r)=\dfrac{n!}{(n-r)!}[/tex]
So,
[tex]P(8,3)=\dfrac{8!}{(8-3)!}\\\\=\dfrac{8!}{5!}\\\\=\dfrac{8\times 7\times 6\times 5!}{5!}\ [\because n!=n(n-1)!]\\\\=8\times 7\times 6\\\\=336[/tex]
Hence, there are 336 possibilities of selections.
how many numbers are between k and n
Answer:
n-k-1
Step-by-step explanation:
n is bigger than k. It asks BETWEEN k and n. so, since n is bigger than k, n-k. since it says BETWEEN, you subtract 1 after that
got it?
=)
oh and the reason i am strict about BETWEEN, is because when it said between, then its discluding k and n.
If it says FROM k and n, then you both include k and n, and that would result of adding 1 instead of subtracting 1.
How do i turn 80% 0f 86- i know the answer but i don't know how to do it
Can someone please teach me
We know that of refers to multiplication (from BODMAS)
% means per hundred, i.e., 1/100
So, 80% of 86 is:
(80/100) × 86
or (4/5) × 86
or 4 × 17.2
or 68.8
Hope you understand
Answer:
68.8
Step-by-step explanation:
Let x be 80% of 86.
To find 80% of 86
[tex] \frac{80}{100} = \frac{x}{86} [/tex]
[tex]80 \times 86 = 100x[/tex]
[tex]6880 = 100x[/tex]
[tex]68.8 = x[/tex]
Or you can simply do it as:
[tex]86 \times 80\%[/tex]
[tex]86 \times \frac{80}{100} [/tex]
[tex] \frac{86 \times 80}{100} [/tex]
[tex] \frac{6880}{100} [/tex]
[tex]68.8[/tex]
A simple index of three socks have opening values on day 1 and day 8 as shown in the table below. What is the rate of change of this simple index over one week? Round your answer to the nearest tenth
Answer: -7.7%
Step-by- A P E X
Kayla wants to know if she can afford the two sweaters. (which are $20.75 and $34.95) Given that $34.95, mentally add $20.75 plus $35 and the sum gives her $55.75. How will Kayla have to compensate to get the exact sum of the two prices?
Answer:
I think she will need to divide or subtract to get the exact sum of the two prices .
Step-by-step explanation:
57.99 The 9 in the hundredths place is _______ the value of the 9 in the tenths place.
Answer:The 9 in the hundredths place is 0.1x the value of the 9 in the tenths place.
Step-by-step explanation:
Every place going forward is 10x forward, so this means that every place going backwards is 0.1x.
Answer:
1/10th
Step-by-step explanation:
which number is the additve inverse of -5
Answer:
Additive inverses add to 0. The additive inverse of a number is the opposite of the number.
Eloise practiced piano for 25 of an hour. Sarah practiced piano for 34 of an hour.
How much longer did Sarah practice than Eloise?
Answer:
34 - 25 = 9
Step-by-step explanation:
HELPPP ASAP ILL TRY GIVE BRAINLEST
Find the slope of the line.
–71 – 2y = 56
Enter your answer in the box
(5/6) 2 x (1 1/10) 2
Answer:
11/3x
your welcome
50 Points, Will mark brainliest!
Identify the theorem or postulate that is related to the measures of the angles in the pair, and find the unknown angle measures.
m∠ACD=(5x+25)∘, m∠BDC=(25x+35)∘
Answer:
m∠ACD = 50°
m∠BDC = 160°
Step-by-step explanation:
From the picture attached,
Two parallel lines AC and BD are intersected by a transversal line.
Angles formed ∠ACD and ∠BDC are the consecutive angles.
By the theorem of consecutive interior angles,
m∠ACD + m∠BDC = 180°
(5x + 25)° + (25x + 35)° = 180°
30x + 60 = 180
30x = 180 - 60
30x = 150
x = 5
Therefore, m∠ACD = (5x + 25)
= 5(5) + 25
= 50°
And m∠BDC = (25x + 35)°
= 25(5) + 35
= 125 + 35
= 160°
which postulates make these triangles congruent
Answer: 1) ASA
2) AAS/SAA
3) Not possible
Step-by-step explanation: 1 is asa because it has 2 angles and a side that are on the same line. 2 is aas/saa because it has a side then two angles. 3 is not possible because it’s ssa and ssa is not used to prove triangles congruent
Given the formula A = pi r squared, how does the A vary in relation to the square of the radius?
a.
varies inversely
c.
varies jointly
b.
varies directly
d.
no relationship
Write 3.4 times 10^-2
Answer:
0.034
Step-by-step explanation:
10^-2 is 1 over 100 times 3.4
63+5(8+1/5)
the 6 and 3 is not 63 it is 6 and a 3 in the corner.
HELP PLEASE ! find the value of X the diagram is not to scale.
Answer:
20 + 4x = 180
Step-by-step explanation:
180-20= 160
160=4x
160/4= 40= x
Which of the following is a true statement?
6/9 = 1/3
1/4 > 1/3
13/15 > 4/5
5/6 > 10/12
Answer:
13/15 > 4/5 is a true stament.
Step-by-step explanation:
The left side is 0.86 repeating turned into a decimal. which means 0.86 is greater than the right which the right is 0.8 turned into a decimal. which in this case this means that the given stament is always true.
Subtract the equation
-7 - 12 =
Answer:
-19
Step-by-step explanation:
Answer:
-19
Step-by-step explanation:
What is |-5 x 6 + 7|?
23
⊝
-65
⊝
-37
⊝
37
Answer:
your answer is A
Step-by-step explanation:
Which number has the same absolute value
as 8
Answer:8
Step-by-step explanation:
An investigation of wages paid to its employees by a large company was undertaken as a result of an allegation of discrimination. Data was collected for 1000 randomly selected employees. The data included employee ID, gender, race, annual wages in dollars (Salary), whether the employee had full-time status or part-time status (Full_Part), number of years of education (Ed), and number of years with the company (Tenure). The first two rows of data in the worksheet are displayed below.
1 Gender Race Salary Full_Part Ed Tenure
2 Female Caucasian 32196 Full 14 2
3 Male Black 62385 Full 16 10
How many cases does this data set contain?
How many variables does this data set contain? (3 p)
How many quantitative variables does this data set contain, and what are they? How many qualitative variables does this data set contain, and what are they?
Answer:
Step-by-step explanation:
First, the data set is:
Gender Race Salary WorkTimeStatus Education Tenure
1. Female Caucasian 32196 Full Time 14yrs 2 yrs
2. Male Black 62385 Full Time 16yrs 10yrs
Now to the questions:
(A) This data set contains 2 cases; 1 for the first employee (the female caucasian) and 2 for the second employee (the male black).
(B) This data set contains 6 variables;
1. Gender 2. Race 3. Salary 4. Work time status 5. Years of education
6. Number of years in/with the company
(C) Out of these 6 variables, the quantitative ones (those that can be measured or weighted numerically) are:
3. Salary 5. Years of education 6. Years with the company
Altogether, 3 in number
(D) The qualitative variables are:
1. Gender 2. Race 4. Work Time Status
Altogether that's 3 variables
Aaron can buy 4 tickets for $33. How much will it cost for 11 tickets?
Answer:
$90.75
Step-by-step explanation:
$33 dollars divided by 4 tickets is $8.25 (original price) so then $8.25 x 11 is $90.75
What decimal is equivalent to StartFraction 8 over 100 EndFraction
Answer:
8/100 is equivalent to 0.08
The temperature at 4:00 p.m. was 2.5'F. It
dropped 0.75°F each hour for the next 4 hours.
What was the temperature at 8:00 p.m.?
Answer:-0.5; 0.75*4=3, 2-3=-0.5
Step-by-step explanation:
Answer:
-0.5...............
Some car jacks are constructed like a collapsed rhombus. When used to raise a​ car, the rhombus is easily seen. If the sides of the rhombus are 15​", what is the maximum length of the​ shaft?
Complete question is;
Some car jacks are constructed like a collapsed rhombus. When used to raise a car, the rhombus is easily seen. If the sides of the rhombus are 15 inches, what is the maximum length of the shaft?
Answer:
Maximum length of shaft = 30 inches
Step-by-step explanation:
To understand this clearly, I've attached a real life image of a car jack that's in the shape of a rhombus.
From the attached image, we can see that it has four sides which are equal in length.
Now, if this jack is collapsed, the shaft will just be like a straight line with a maximum length equal to twice a side of the rhombus which represents the maximum length of the diagonal.
Since we are told that one side of the rhombus is 15 inches, it means that the maximum length of shaft = 2 × 15 = 30 inches
Solve for x. 6+X-7= 16
Answer:
X=17
Step-by-step explanation: You would first group like terms. Then you would do 6-7. Then you would add 1 to both sides and get X=17.
Answer:
x=17
Step-by-step explanation:
Groups like terms
x+6-7=16
Subtract the numbers: 6-7= -1
x-1=16
Add 1 both sides
x-1+1=16+1
Simplify
x=17
4h + 3f + 3c + f + 2c + h + 2c pls help
Answer:
5h + 4f + 7c
Step-by-step explanation:
Combine like terms!
4h + h = 5h
3f + f = 4f
3c + 2c + 2c = 7c
And you can't put numbers together that have different variables.
The angles shown above form a linear pair. Show all of your work for full credit.
A. What is the angle relationship between these two angles?
B. Set up an equation and solve for n.
C. Substitute your values into the equation and find the measurements of both angles.
Answer:
A. [tex] (4n + 22) + (8n - 10) = 180 [/tex]
B. [tex] n = 14 [/tex]
C. 78° and 102°
Step-by-step explanation:
A. The relationship between the two angles that are a linear pair is: their sum gives us 180°. That is:
[tex] (4n + 22) + (8n - 10) = 180 [/tex]
B. [tex] (4n + 22) + (8n - 10) = 180 [/tex]
Solve for n.
[tex] 4n + 22 + 8n - 10 = 180 [/tex]
Collect like terms
[tex] 12n + 12 = 180 [/tex]
Subtract 12 from both sides
[tex] 12n + 12 - 12 = 180 - 12 [/tex]
[tex] 12n = 168 [/tex]
Divide both sides by 12
[tex] \frac{12n}{12} = \frac{168}{12} [/tex]
[tex] n = 14 [/tex]
C. Plug in the value of 14 to get the measurement of both angles
[tex] (4n + 22) = 4(14) + 22 = 56 + 22 = 78 [/tex]
[tex] (8n - 10) = 8(14) - 10 = 112 - 10 = 102 [/tex]
I need help plz hurry
Answer:
a. 7
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Define
y - (x - z)
x = -4
y = 5
z = -2
Step 2: Substitute and Evaluate
5 - (-4 - (-2))
5 - (-4 + 2)
5 - (-2)
5 + 2
7
Answer:
A. 7
Step-by-step explanation:
Plug in the values of x, y, and z: 5 - (-4 - -2)Simplify: 5 - (-4 + 2)-4 + 2 = -2Plug -2 in: 5 - (-2)Simplify: 5 + 25 + 2 = 7I hope this helps!
is 3.4567 irrational or rtional
Answer:
3.4567 is a rational number
Step-by-step explanation:
An irrational number has no ending while a rational number does. An irrational number can not be written as a fraction while a rational number can. Basically, all you have to do to figure out if a number is rational or irrational is to figure out if it has an ending.
For example, if you had 234.888888888 irrational but if the number was 234.98989654 then it would be rational
In southern California, a growing number of individuals pursuing teaching credentials are choosing paid internships over traditional student teaching programs. A group of eight candidates for three local teaching positions consisted of five who had enrolled in paid internships and three who enrolled in traditional student teaching programs. All eight candidates appear to be equally qualified, so three are randomly selected to fill the open positions. Let Y be the number of internship trained candidates who are hired.
a. Does Y have a binomial or hypergeometric distribution? Why?
b. Find the probability that two or more internship trained candidated are hired.
c. Find the standard deviation and mean of Y.
Answer:
A) Hypergeometric
B) P( X ≥ 2) = 0.7143
C) Standard deviation: σ = 0.7087
Mean = 1.875
Step-by-step explanation:
A) Y has Hypergeometric distribution. This is because, the population is not definite and is largely a finite number of people that have one of the two characteristics. Also, a sample of 8 was selected from this population and a random variable of interest that contained the number of people with one of the characteristics.
B) We are told total candidates were 8.
Thus; N = 8
3 were for local teaching positions, thus; n = 3
5 were for paid internship, thus; r = 5
Now, the formula for Hypergeometric distribution is;
P(y) = {(rCy) × [(N-r)C(n-y)]}/(NCn)
Where C represents combination.
Thus, probability that two or more candidates were hired is;
P( X ≥ 2) = P(2) + P(3)
Now, N - r = 8 - 5 = 3
For P(2); n - y = 3 - 2 = 1
For P(3); n - y = 3 - 3 = 0
Thus;
P(2) = {(5C2) × (3C1}/(8C3)
P(2) = 30/56
P(2) = 0.5357
P(3) = {(5C3) × (3C0}/(8C3)
P(3) = 10/56
P(3) = 0.1786
Thus;
P( X ≥ 2) = 0.5357 + 0.1786
P( X ≥ 2) = 0.7143
C) Formula for standard deviation in Hypergeometric distribution is;
σ = √[(nr/N) × ((N - r)/n) × ((N - n)/(N - 1))]
nr/N = (3 × 5/8) = 15/8
((N - r)/N) = (8 - 5)/8 = 3/8
((N - n)/(N - 1)) = (8 - 3)/(8 - 1) = 5/7
σ = √((15/8) × (3/8) × (5/7))
σ =√0.5022
σ = 0.7087
Formula for mean in Hypergeometric distribution is;
E(Y) = nr/N = 3 × 5/8 = 1.875