Answer:
Case 1 - 50388 ways when the couple is there in the group of 8 people selected out of 20 employees.
Case 2 - 75582 ways when the couple is not there in the group of 8 people selected out of 20 employees.
Step-by-step explanation:
Given
The couple within the group can not be separated and hence instead of taking total 20 employees , it must be taken as 19 employees.
Now if the couple is there in the selected group of 8 people, then total 7 needs to be selected out of 19 and hence the total number of ways of selecting 7 people out of 19 is
[tex]^7C_{19}[/tex] = 50388
If the couple is not there in the selected group of 8 people, then the total number of ways of selecting 8 people out of 19 is
[tex]^8C_{19}[/tex] = 75582
Plees what is 7x9 i ned help plees
what is 7/14 fractions im in class and i dont know.? Can anyone help me????.
Answer:
[tex]\frac{7}{14} = \frac{1}{2}[/tex]
Step-by-step explanation:
Answer:
7/14 as a simplified fraction is 1/2
Step-by-step explanation:
if you divide the numerator and denominator by 7 then 7(numerator) simplifies to 1 and 14(denominator) simplifies to 2
Give reason why n2=x
9514 1404 393
Answer:
P₂ and x are both supplementary to N₁Q₁R = 90° -xΔSMP ≅ ΔSMR ∴ PS ≅ SRStep-by-step explanation:
1. Angles P₂ and N₁ are opposite angles of inscribed quadrilateral PMNQ, so are supplementary. Angles N₁ and N₂ form a linear pair, so are supplementary. Angles supplementary to the same angle (N₁) are congruent, hence P₂ = x ≅ N₂
__
2. ΔPMQ is isosceles, so angle Q₁ is also congruent to x.
__
3. In ΔPMQ, the sum of angles is 180°, so ...
M₁ +2x = 180°
Dividing by 2 gives ...
M₁/2 +x = 90°
Angle M₁ subtends arc PQ of circle M. Angle R inscribed in circle M subtends the same arc, so ...
R = (M₁/2)
R = 90° -x
__
4. From the above, we know that angles N₂ and R are complementary (total 90°), so angle S₂ = 90°. Segment MS will only intersect chord PR at right angles at the midpoint of that chord.
Hence S is the midpoint of PR and PS = SR.
What is { 1 + 7 - 6 + 99 }
1 + 7 - 6 + 99 = 101
Step-by-step explanation:
7 + 1 = 8
8 - 6 = 2
99 + 2 = 101
Hope to be brainliest! #SpreadTheKnowledge
Answer:
101
that was easy:D
mark me as brainliest plz
What is 103 % of 134?
Answer:
138.02
Step-by-step explanation: mark me brainlist?
A baseball glove for $280 but it’s on sale for 55% off. Find the discount and the sale price.
Answer: The answer is 126 because if we minus 280 - 55% the answer is 126
$126
HOPE THIS HELPS
A day of the week is randomly chosen at random . What is the probability of choosing a Monday or Tuesday S?
Answer:
2 out of 7
Step-by-step explanation:
There are 7 days in a week( at least the last time I checked) Monday and Tuesday are 2 days of that week. Therefore it is 2/7.
I WILL GIVE YOU BRAINERLEST AND A LIKE
The area of a triangle is 20 square feet.
What are the height and base of the
triangle?
A research analyst for a car rental agency found that the probability distribution function for the age of the rental car (in years) is a straight line. The line decreases from the point (0, h) to the point (10, 0). None of the rental cars are older than 10 years. Enter your answers as decimals. 7(a). What is the height for the line when the age of the car is zero?
Answer:
10 years
Step-by-step explanation:
Given
Decline from (0,h) to (10,0)
See attachment for graph
Required
Determine the age when height = 0
The function of the graph is represented as: (age, height)
So, we need to read from the graph the corresponding value of age (on the x-axis) when height = 0 (i.e. the y-axis)
From the attached graph;
[tex]age = 10[/tex] when [tex]height = 0[/tex]
Hence, the age of the car is 10 years
If the length of the radius and the height of a right circular cylinder are both tripled to form a larger cylinder, what is the ratio of the volume of the larger cylinder to the volume of the smaller cylinder? (Note: The two cylinders are said to be "similar.")
Answer:
The ratio of the volume of the larger cylinder to the volume of the smaller cylinder is 27:1
Step By Step Explanation:
Volume of the smaller cylinder(V1)=π(r^2)h
Volume of the larger cylinder(V2)=π(r^2)h
=π(3r)^2*3h
=π*9(r^2)*3h
=27π(r^2)h
The ratio of the volume of the larger cylinder to the volume of the smaller cylinder is 27π(r^2)h/π(r^2)h i.e. 27:1
Having trouble with this onr
Answer: C
Step-by-step explanation: Hope this help :D
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Answer:
What kind of math is this?
On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, negative 2), and point K is at (negative 2, negative 3).
HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other.
(1,−1)
(1,1)
(1,0)
(0,1)
Answer:
(1,0)
Step-by-step explanation:
Given
[tex]H = (-2,2)[/tex]
[tex]I = (4,3)[/tex]
[tex]J = (4,-2)[/tex]
[tex]K = (-2,-3)[/tex]
Required
The midpoint of the diagonals
Midpoint is calculated as:
[tex]M = (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
For H and J, the midpoint is:
[tex]M = (\frac{-2+4}{2},\frac{2-2}{2})[/tex]
[tex]M = (\frac{2}{2},\frac{0}{2})[/tex]
[tex]M = (1,0)[/tex]
For I and K, the midpoint is:
[tex]M = (\frac{4 - 2}{2},\frac{3-3}{2})[/tex]
[tex]M = (\frac{2}{2},\frac{0}{2})[/tex]
[tex]M = (1,0)[/tex]
The midpoint of both diagonal is: (1,0)
Answer:
option C
Step-by-step explanation:
Solve 3≥y−2. Graph the solution. The solution is
Answer:
y ≤ 5
Step-by-step explanation:
too lazy to explain :/
You are asked to draw a triangle with side lengths of 10 inches and 13 inches. What is the longest whole number length that your third side can be?
Answer:
22
Step-by-step explanation:
10 plus 13 equals 23, so if it is more than that than the lines wont be able to connect. if it is 23 exactly, the triangle will be a stright line, not a triangle, so it is 22.
Answer:
22
Step-by-step explanation:
triangle inequality theorem:
10 + 13 > x
x < 23
10 + x > 13
x > 3
third side: 3 < x < 23
Find the gcd of 30,45,75
Answer:
gcd is 15
have a good day ahead
Answer:
15
Step-by-step explanation:
each number is divisible by 15
What percent is represented by the shaded area?
Answer:
159% if you're talking about both the grids.
Step-by-step explanation:
For what values of x and y. Thank you
Answer:
x = 4 y = 9
Step-by-step explanation:
3x-1 = 2x+3
x = 4
2(4)+1 = 9
11-2 = 9
Theo purchased an are rug for his dorm room. The dimensions of the rug are 8 feet by 9 feet. What is the area of Theo's rug?
Answer:
72 feet
Step-by-step explanation:
8 feet by 9 feet well first you have to notice that the word by means to multiply so you have to multiply 8x9
so
8x9=72feet of the area
Answer please and explain
Answer:
Its about 678.584
Step-by-step explanation:
First plug in your given info so put 6 for the r and 6 for thr h. the r stands for radius and the h stands for hight. Then solve for 6 squared which is just 6*6 which is 36 then multiply that by 6 to get 216. then multiply 216 by pie to get your answer.
If you need further explanation just comment on this for help
For the following system of equations, find the points where F(X)=G(X) by completing
the following table of values for X=0, X=1, X=15, and X=16. Select all that apply.
f(x) = -2- 20 + 46
g(x) = -3x2
+ 50x + 6
X
F(X)
G(X)
o
1
1
15
16
(1,53)
0 (0,6)
(16,38)
(15,36)
(0,46)
aaaaaaaaaaaaaaaaaaaa
hi guys what is and can u please do the method 4050 divided by 100
Answer:
40.5
Step-by-step explanation:
what i do is I divided first by 10. because 100 is 10x10.
so 4050 divided by 10 is 405.
405 divided by 10 is 40.5
4050 divided by 100 = 40.5
What is the Natural Increase Rate (%) for the United States if there are 4 million Births and 2 million Deaths?
Answer:
it is almost 50% so good luck
Lucy drank 6 liters of water after 2 days. How many liters of water did she drink after 6 days?
Answer:
18 Liters of water
The following table shows Mr. Smith's class times for finishing a morning jog.
Allison finished how many seconds after Mia?
a.45 seconds
b.55 seconds
c.65 seconds
d.35 seconds
7m+3 what is the constants of 7m+3
Answer:
3
Step-by-step explanation:
is 4x-2y=5 and -2x+y= 1 no solution? if not what is it?
Answer: no solution
Step-by-step explanation:
here are the equations in y=mx+b form:
y=2x+1
y=2x+ -5/2
as you can see they have the same slope with different y-intercepts, this mean there are parallel AKA no solution
Please help me! NO sites or links please!
xoxo
The Robotics Manufacturing Company operates an equipment repair business where emergency jobs arrive randomly at the rate of three jobs per 8-hour day. The company's repair facility is a single-server system operated by a repair technician. The service time varies, with a mean repair time of 2 hours and a standard deviation of 1.5 hours. The company's cost of the repair operation is $28 per hour. In the economic analysis of the waiting line system, Robotics uses $35 per hour cost for customers waiting during the repair process. What are the arrival rate and service rate in jobs per hour
Answer:
The correct answer is:
[tex]\lambda=0.375 \ jobs \ per \ hour[/tex][tex]\mu=0.5 \ jobs \ per \ hour[/tex]Step-by-step explanation:
The given values are:
Service time varies,
Repair time = 2 hours
Standard deviation = 1.5 hours
Robotics uses per hour cost,
= $35
Company's cost per hour,
= $28
(a)
⇒ Arrival rate = Jobs per hours
then,
= [tex]\frac{8 \ hours}{3 \ jobs}[/tex]
= [tex]2.666 \ hours \ per \ job[/tex]
The jobs per hour will be:
⇒ [tex]\lambda=\frac{1}{2.666}[/tex]
[tex]=0.375[/tex]
(b)
⇒ Service rate = jobs per hour
then,
μ = [tex]\frac{1 \ repair \ job}{2 \ hours}[/tex]
= [tex]0.5 \ jobs[/tex]
How many sides does a polygon have if the sum of the interior angles is 3420
Answer: 21 sides
Step-by-step explanation: (n-2)=3420 you should divide each side by 180