Answer:
Part A:
[tex]2^{40}-2\\=1.0995*10^{12} ancestors[/tex]
Part B:
Generations Age=25*39=975 years
Part C:
Some ancestors on different branches of the family tree must be the same.There could not have been 39 generations in my line of ancestry.Step-by-step explanation:
Given Data:
Two Parents, Four Grand Parents, Eight great Grand Parents.
Generation=39
Solution:
Part A:
From given data Following series is made:
[tex]2+2^2+2^3+.........+2^{39}[/tex]
Now, Above series will become:
[tex]2[1+2+2^2+......+2^{38}][/tex]
From geometric Sequence:
[tex]2[\frac{2^{38+1}-1}{2-1} ][/tex]
[tex]2^{40}-2\\=1.0995*10^{12} ancestors[/tex]
Part B:
Generations Age=years*Number of generations
Generations Age=25*39=975 years
Part C:
Number of people lived= 10^11
Ancestors=[tex]1.0995*10^{12} ancestors[/tex]
[tex]10^{11}<1.0995*10^{12}[/tex]
It means ancestors are not distinct, it means:
Some ancestors on different branches of the family tree must be the same.There could not have been 39 generations in my line of ancestry.In a class of a 21 students, 16 are female and 15 have an A in the class. There are 2
students who are male and do not have an A in the class. What is the probability that
a student chosen randomly from the class does not have an A?
Answer:
2/7
Step-by-step explanation:
Trust me.
54,872 in expanded form
Answer:
54,000+800+70+2
Step-by-step explanation:
Answer:
Here is an answer
54,000+800+70+2
Find the perimeter of the figure. Round your answer to the nearest hundredth.
12 m
15 m
12 m
21 m
Answer:
68.56 m
Step-by-step explanation:
circumference of semi-circle: 15π/2 = 23.56
23.56 + 12 + 12 + 21 = 68.56
A woman applies a force of 300 Newtons to push a stroller 100 meters. It takes her
60 seconds to perform this work. Use the equations W = Fd and P = W x T
calculate her power.
Answer:
Work done by the woman is 500 joule per second.
Step-by-step explanation:
Force applied by the woman = 300 Newtons
Total displacement due to force = 100 meters
Work done = Force applied × Displacement due to force
= 300 × 100
= 30000 Joule
Since, Power = [tex]\frac{\text{Work done}}{\text{Time taken to perform the work}}[/tex]
= [tex]\frac{W}{t}[/tex]
= [tex]\frac{30000}{60}[/tex]
= 500 Joule per second
Therefore, work done by the woman is 500 joule per second.
A large insurance company maintains a central computing system that contains a variety of information about customer accounts. Insurance agents in a six-state area use telephone lines to access the customer information database. Currently, the company's central computer system allows three users to access the central computer simultaneously. Agents who attempt to use the system when it is full are denied access; no waiting is allowed. Management realizes that with its expanding business, more requests will be made to the central information system. Being denied access to the system is inefficient as well as annoying for agents. Access requests follow a Poisson probability distribution, with a mean of 40 calls per hour. The service rate per line is 18 calls per hour.
Reqiured:
a. What is the probability that 0, 1, 2, and 3 access lines will be in use?
b. What is the probability that an agent will be denied access to the system?
c. What is the average number of acess lines in use?
Answer:
Part A:
[tex]P_0=0.13298\\P_1=0.29547\\P_2=0.328320\\P_3=0.24321[/tex]
Part B:
[tex]P_3=0.24321[/tex]
Part C:
[tex]Average\ Number:=1.6817[/tex]
Step-by-step explanation:
Given data:
Mean =μ= 40 calls
Service Rate=λ=18 calls
Solution:
Formula:
[tex]P_i=\frac{\frac {(\frac{\mu}{\lambda}) ^{i} }{i!} }{\sum \frac {(\frac{\mu}{\lambda}) ^{i} }{i!}}[/tex]
Where i is access lines
Part A:
Probability of 0 access line, i=0:
[tex]P_0=\frac{\frac {(\frac{40}{18}) ^{0} }{0!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}[/tex]
[tex]P_0=\frac{1}{1+2.222+2.4691+1.8290}[/tex]
[tex]P_0=0.13298[/tex]
Probability of 1 access line, i=1:
[tex]P_1=\frac{\frac {(\frac{40}{18}) ^{1} }{1!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}[/tex]
[tex]P_1=\frac{2.222}{1+2.222+2.4691+1.8290}\\P_1=0.29547[/tex]
Probability of 2 access line, i=2:
[tex]P_2=\frac{\frac {(\frac{40}{18}) ^{2} }{2!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}[/tex]
[tex]P_1=\frac{2.4691}{1+2.222+2.4691+1.8290}\\P_2=0.328320[/tex]
Probability of 3 access line, i=3:
[tex]P_3=\frac{\frac {(\frac{40}{18}) ^{3} }{3!} }{\frac {(\frac{40}{18})^{0} }{0!}+\frac {(\frac{40}{18})^{1} }{1!}+\frac {(\frac{40}{18})^{2} }{2!}+\frac {(\frac{40}{18})^{3} }{3!}}\\P_3=\frac{1.8290}{1+2.222+2.4691+1.8290}\\P_3=0.24321[/tex]
Part 2:
Only 3 users can access simultaneously, denied Probability is P_3(4th access line)
[tex]P_3=0.24321[/tex]
Part 3:
Average Number:
[tex]Average\ Number:\frac{\mu}{\lambda} (1-P_3)\\Average\ Number:\frac{40}{18} (1-0.24321)\\\\Average\ Number:=1.6817[/tex]
How many solutions does the system of equations below have?
y = -9x - 9
y = -9x - 9
no solution
one solution
infinitely many solutions
Submit
Answer:
infinitely many solution
Step-by-step explanation:
HOPE IT HELPS
Whats 9 plus 10
My calculator broke and i need help
Answer:
19
Step-by-step explanation:
9 + 10 = 19
A triangle, ABC, has angle measures of 60, 60, and 60 and three congruent (equal) sides. How would this triangle be classified?
Equilateral acute
Equilateral obtuse
Scalene acute
Isosceles acute
Answer:
equilateral acute. Because it is less than 90 and all equal
Find the volume of the sphere on the right. Use 3.14 for
The volume is
(Simplify your answer. Type a whole number or a decimal. Round to the nearest
hundredth needed)
64 in
What is the answer ?
Someone bless my day with answering this math question I’m stuck on it (photo)
Answer:
The answer is B.
Step-by-step explanation:
if i have 20 apples and jimmy has 20 apple then how much do they have together
Answer:
40
Step-by-step explanation:
add 20+20 and that equals 40
plss help me with this question pls and with whole procedure pls
Answer:
S45°E
Step-by-step explanation:
45° south east, not 100% sure though
How much will you pay for an item that is $28.55 on sale for 60% off?
$17.13
$11.42
$17.00
$11.50
Answer: That would be $11.42
Step-by-step explanation: Hope this helped!! :)
pls answer this.
don't answer 1&2. just answer 3-10 thanks in advance!
Answer:
3. m<4=101°
4. sum of angle on a straight line
5. m<8= 101°
6.m<3=180-101°
=79°
7.sum =180°
8. alternate angles
9. and m<8
10. 180°
Answer:
3.
m<1=79°
m<4=180-79°=101°(linear pair)
4.
<7+<8=180°(straight line)
5.
m<6=101
m<8=101°[vertically opposite angle]
6.
m<3=180-101=79°
7.
180°
8.
alternate angle
9.
and <8
10.
180°
In AABC, AB, AC, and BC are called
A sides
B. interior angles
C. vertices
D. exterior angles
Answer:
sides.
Step-by-step explanation:
The answer? Just wondering do y’all know it?
I'm no math braniac, however, I believe the answers are 2 cups; 2/3 cups, 15/2 cups; 2 1/2 cups, and 2/12 cups; 5/6 cups.
I really hope its correct and good luck on your test!
Kelly sells vitamins. She made this chart to calculate her total earnings for the month of April.
Base Salary $2,500
Percent of Sales Commission 4%
What's Kelly's total earnings if she sold $6,000 worth of vitamins for April?
Answer:
2740
Step-by-step explanation:
earnings from commission is 240 (6000x.04). Her base salary 0f 2500 plus commission of 240 = 2740
Please help if you can !!!!!!!!
Answer:
D 51.3%
Step-by-step explanation:
Number of students who bought popcorn: 80
Total number of students: 156
percent = 80/156 * 100% = 51.3%
What is (2x^2+ 9x + 7) = (x + 1)?
A. 2x+11
B. 7x+7
C. 2x+7
D. X+1
What is (2x² + 9x + 7) = (x + 1) ?
Solution:-2x² + 9x + 7 = x + 1
2x² + 9x - x + 7 - 1 = 0
2x² + 8x + 6 = 0
2(x² + 4x + 3) = 0
x² + 4x + 3 = 0
x² + 3x + x + 3 = 0
x( x + 3) + 1(x + 3) = 0
(x + 3)(x + 1) = 0
So, option (D) x + 1 is correct. [Answer]
[tex] \bf Hope \: it \: helps \: you [/tex] .Use the distributive property to create an equivalent expression to 6(3j + 4 +j)
Answer:
24j + 24
Step-by-step explanation:
6(3j + 4 +j)
6(4j + 4)
24j + 24
plzz help i will give brainliest plzzzz
Answer:
B
Step-by-step explanation:
B gives you 8/12, which can be simplified down to 2/3.
4. A construction worker needs to put
rectangular window in the side of a
building. He knows from measurin
that the top and bottom of the
window have a width of 6 feet and sides have a length of 8 feet. He also measured one diagonal to be 10 feet
What is the length of the other
diagonal?
Answer:
Step-by-step explanation:
If the window is truly a rectangle then both diagonals are equal. That's one of the properties of a rectangle.
Answer: 10 feet
Have the conditions for inference been met?
A varsity swimmer at a large high school wants to
estimate the amount of time (in hours), on average,
athletes at this school train or practice each day. This
swimmer selects 10 members of her swim team and
asks them how many hours they typically train or
practice. Use the data to construct a 90% confidence
interval to estimate the true mean number of hours
athletes at this school train or practice each day.
No, the sample is not random.
No, the graph of the data shows skewness and has
outliers.
No, the 10% condition cannot be verified, because it
is not known how many seniors are in the
population.
Yes, the student selected a random sample; 10 is
less than 10% of the population of athletes, and the
graph of the data shows no clear skewness or
outliers.
0.5, 1, 1, 2, 2, 2, 2.5, 2.5, 3, 3
Answer: the answer is A
Step-by-step explanation: because the original question does not state that the swimmer “randomly selected” the members. It only says the swimmer “selects” 10 members. Therefore, it is A (The sample is not random)
youre welcome
Find the magnitude and direction of the vector.
<-10, 13>
Use the formula for magnitude of vector, which is [tex]m = \sqrt{a^2 + b^2}[/tex].
[tex]m = \sqrt{(-10)^2 + 13^2} = 16.401[/tex] units
In terms of direction, you can see that it is in the second quadrant because of a negative x-value and positive y-value. If you are looking for the angle of the vector, you need to use the formula,Ф = [tex]arctan(y/x)[/tex]. But because the x, value is negative, the rule is that we add π to this value.
Plug in the values:
arctan(13/-10) + π = 127.56° or 2.226 radians
WILL GIVE BRAINLIES +100 POINTS
Answer:
C or B
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
HELP ME PLSS IM GIVING BRAINLIEST!!!!
Answer:
The height in feet of the basketball hoop would be 10 feet.
Step-by-step explanation:
if 1 inch = 5 feet
then 2 inches = 10 feet
Hope this helped :)
Answer:
10 feet I think
Step-by-step explanation:
If 1 Inch is = to 5 feet then 2 inches must be = to 10 inches because 2 x 5 = 10
Measure of angle R =49 find the measure of angle O
Answer:
angle O is equal to 41°
I hope it's helps you
Which property is being shown in this equation?
4(2n - 5) = 8n - 20 *
Commutative
Associative
Identity
Distributive
Transitive
Answer:Distributive
Step-by-step explanation:
A line has a slope of -3 and a y intercept of 5. Write the equation of the line jn slope intercept form and explain how you use the slope and y intercept to graph the equation
Answer:
Slope-intercept form y = mx + b
m = slope (-3)
b = y-intercept (5)
hence, the slope-intercept form is:
y = -3x + 5
This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.
Can someone help pls?
When you are graphing inequalities, how do you know if it is an open circle or a
closed circle? (Total possible points = 10 points applied to Module 7) *
Your answer:
Answer:
When you are graphing inequalities you know if it's an open circle or closed circle because when the dot is closed it means that the inequality includes the number and when it's open it does not include the number in the inequality.
Step-by-step explanation:
I'm sorry if this isn't the best answer I tried my best:))