Answer:
[tex]P(1) = 0.23[/tex]
[tex]P(5) = 0.0809[/tex]
[tex]P(x\ge 2) = 0.471[/tex]
Step-by-step explanation:
Given
[tex]P(x) = 0.23 * 0.77^{x-1}[/tex]
Solving (a): P(1)
This gives:
[tex]P(x) = 0.23 * 0.77^{x-1}[/tex]
[tex]P(1) = 0.23 * 0.77^{1-1}[/tex]
[tex]P(1) = 0.23 * 0.77^0[/tex]
[tex]P(1) = 0.23 * 1[/tex]
[tex]P(1) = 0.23[/tex]
Solving (b): P(5)
This gives:
[tex]P(x) = 0.23 * 0.77^{x-1}[/tex]
[tex]P(5) = 0.23 * 0.77^{5-1}[/tex]
[tex]P(5) = 0.23 * 0.77^{4}[/tex]
[tex]P(5) = 0.23 * 0.35153041[/tex]
[tex]P(5) = 0.0809[/tex]
Solving (c): [tex]P(x \ge 2)[/tex]
To do this, we make use of complement rule
[tex]P(x \ge 2) = 1 - P(x < 2)[/tex]
[tex]P(x < 2)[/tex] is calculated as:
[tex]P(x < 2) = P(0) +P(1)[/tex]
Calculate P(0)
[tex]P(x) = 0.23 * 0.77^{x-1}[/tex]
[tex]P(0) = 0.23 * 0.77^{0-1}[/tex]
[tex]P(0) = 0.23 * 0.77^{-1}[/tex]
[tex]P(0) = 0.299[/tex]
In (a):
[tex]P(1) = 0.23[/tex]
So:
[tex]P(x < 2) = P(0) +P(1)[/tex]
[tex]P(x < 2) = 0.299 + 0.23[/tex]
[tex]P(x < 2) = 0.529[/tex]
So:
[tex]P(x \ge 2) = 1 - P(x < 2)[/tex]
[tex]P(x\ge 2) = 1 - 0.529[/tex]
[tex]P(x\ge 2) = 0.471[/tex]
work out the value of (6-2.5)( 8+4)
Answer:
42
Step-by-step explanation:
Uh, I'm guessing what is being asked here is to solve, so, time to distribute.
(6 - 2.5)(8 + 4)
48 + 24 - 20 - 10
42
Please answer this with solution
Non sense + No solution = REPORT
If you got your 60% discount and opened up the card for an additional 20%, what is the actual % discount you would receive?
Please do not answer with link
Answer:
80 I guess.................
What is the total surface area of the square pyramid whose net is shown?
Answer:
1,600 sq. inches
Step-by-step explanation:
Area of a triangle:
bh/2
= (20 x 30)/2
= 600/2
= 300
Area of square:
s^2
= 20^2
= 400
Four triangles:
300 x 4
= 1200
Total:
1200 + 400
= 1600
3. The photo below is being enlarged to form
a 16-by 20- inch print. What is the scale
factor being used to enlarge it?
4 in
5 in
Answer:
4 in
Step-by-step explanation:
Given the following data;
Length = 16 in
Width = 20 in
To find the scale factor;
Scale = 16:20
Dividing by 4, we have;
Scale = 4:5
Therefore, the scale factor is 4 in.
Scale = scale factor * ratio
Scale = 4 * (4:5)
Scale = 16:20
Please help I’ll mark you as brainliest if correct!
Answer:
option 4 is definitely the answer
107 > 45+ y hurry pls
Answer:
C. y<62
Step-by-step explanation:
107<45+y
(take 45 from both sides)
62<y, or y>62
The answer of the given inequality is 107>45+y is y<62.
We have given that inequality
107<45+y
What is inequality?
Inequality is a relation that makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
107<45+y
(take 45 from both sides)
Therefore the solution of inequality 62<y, or y>62.
To learn more about the inequality visit:
https://brainly.com/question/24372553
#SPJ2
HELP ME PLEASEEEEEEEEE
Answer:
is it 56 units²? if not sorry
Ssomeone help me in this one now please
Answer:
700 runners
Step-by-step explanation:
A runner ran of a 5 kilometer race in 21 minutes. They ran the entire race at a constant speed.
How long did it take to run the entire race?
How many minutes did it take to run 1 kilometer?
the answer is 6 minutes and 46 seconds
pls help
its was on khan academy
i will mark u brainiest!!!
Answer:
[tex]14 units[/tex]
Step-by-step explanation:
[tex]Solution:-[/tex]
[tex]A(5,1)B(7,1)[/tex]
[tex]\sqrt{(x_{1}-x_{2} ) ^{2}(y_{2} -y_{1}x^{2} }[/tex]
[tex]AB=\sqrt{(7-5)^{2} +(1-1)^{2} }[/tex]
[tex]= \sqrt{2^{2} } =2[/tex]
[tex]BC=\sqrt{7-7^{2}+(6-1)^{2} }[/tex]
[tex]=\sqrt{5^{2} } =5[/tex]
[tex]perimeter=2(AB)+2(BC)[/tex]
[tex]= 2(2)+2(5)\\[/tex]
[tex]= 4+10= 14[/tex]
[tex]-----------[/tex]
hope it helps...
have a great day!!
1 x2 + 7x + 12 = ________________________
2 x2 - 3x - 10 = _________________________
3 x2 - 25 = _________________________
4 x2 - 100 = ________________________
5 4x2 - 9 = _________________________
6 16x2 - 121 = _________________________
7 x2 + 6x - 24 = _________________________
8 x2 - y2 = _________________________
9 81 - x2 = _________________________
10 36x2 - 100y2 = _________________________
Factor each expression
Answer:
1. 9x +12
2. -x = -10
3. x+25/2
4. 2 (x - 50)
5. 8x - 9
6. 32x - 21
7. 8x - 24
8. 2 (x - y)
9. x - 81/2
10. 72x - 200y
Step-by-step explanation:
hope this helps!! :)
what is -2-5(-2-7i) simplify with full working?
38%
Find the whole number that satisfies all of the following conditions.
• It is a whole number between 1 and 100 inclusive.
• 10% of the number is greater than 1 but less than 7.
of the number is a square number.
• The number is not a multiple of 6.
.
1/3
공
[3]
Note: Make your final answer clear by writing 'The number is ...'
(the question is formatted a bit weird, but I'm assuming the third statement is meant to be '1/3 of the number is a square number'. If not, let me know and I'll adjust my answer accordingly)
Answer:
The number is 27
Step-by-step explanation:
Let the number be called x.
10% of x is greater than 1 but less than 7. Written mathematically, this is 1<0.1x<7. Multiply this by ten to get 10<x<70.
1/3 of x is a square number. The squares 4, 9, and 16 are the only squares that satisfy this statement, because the if the square was 1, x would be 1, which doesn't fit x>10, and if the square was 25 or higher, x would be greater than 70, which doesn't fit x<70.
x isn't a multiple of six. If the square is 4, x is 12, which is a multiple of six so this doesn't work. If the square is 16, x is 48, which is a multiple of six too, so this doesn't work. But if the square is 9, x is 27, which isn't a multiple of six and satisfies the statement.
Double check that x=27 is a valid answer.
Is 27 a whole number between 1 and 100? Yes
Is 10% of 27 greater than 1 and less than 7? Yes (10% of 27 is 2.7)
Is 1/3 of 27 a square number? Yes (1/3 of 27 is 9, which is the square of 3)
Is 27 not a multiple of 6? Yes (27 isn't divided evenly by 6)
Therefore, the number is 27.
Help please!!!!!!!!!! Need ASAP!! Thank you!
Maria can stuff envelopes twice as fast as her friend James. Together they can stuff 6750 envelopes in 4.5 hours. How long would it take each of them working alone? Which of the following equations could be used to solve this problem?
I thinks it's the last one
hope this helps
Answer:
B. 4.5/t + 4.5/(2t) = 1Step-by-step explanation:
Work = rate*timeMaria's rate = 6750/tJames's rate = 6750/2tTheir rate when working together:
6750/t + 6750/(2t) = 6750/4.5 ⇒ 1/t + 1/(2t) = 1/4.5 ⇒4.5/t + 4.5/(2t) = 1Correct choice is B
Evaluate the radical expression. Express your answer as an integer, simplified fraction, or a decimal rounded to two decimal places. If the expression does not represent a real number, indicate "Not a Real Number"
Answer:
undefined
Step-by-step explanation:
the expression is undefined in the set of real numbers
( HOPE THIS HELPED)
Could somebody please help
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Each point moves to 3 times its original distance from the blue dot. Each length is 3 times as long as the original.
please ..........help me
Answer:
First statement: 10 road workers take 5 days to complete a work, working 2 hours a day.
Let us calculate how many days 2 workers will need, if they were to work at the same pace (i.e. each working 2 hours a day). The workforce is now decreased to 2 divided by 10 = 1/5 (i.e. one-fifth).
Therefore proportionately, the time will increase to 5 days divided by 1/5, (i.e. 5 / (1/5) = 25 days.
We now know that 2 workers will need 25 days to finish the work, if they work for 2 hors a day.
Now the question is what will happen if the two people work 5 hours per day, instead of 2 hours per day?
The labor they put in has increased to 5 divided by 2 = 2.5 (i.e. 2 and half times).
Consequently, the time needed to finish the work will decrease to 25 divided by 2.5 (i.e. ( 25 / 2.5 ) = 10. days.
The answer : 10 Days.
20 POINTS!!!!!The monthly salary of an employee with 33 hours of training can be written as
need help asap i have no clue how to solve this
Answer:
c and
28.57%
Step-by-step explanation:
count how many number fall into each category
50-59 has 1
60-69 has 2
70-79 has 4
80-89 has 4
and 90-99 has 3
So the last histogram fits this data
to find the % of those that are between 70-79, take the total number of items that fit into that category (4) and divide by the total number of items (14)
4/14=.2857 --> turn to a percent .2857*100= 28.57%
PLEASE ANSWER ASAP TIMED! A candle shop owner collected data on customers favorite scents as shown in the table. A customer is randomly selected. If the probabilities of a customer choosing floral and coconut as their favorite scents are the same what is the value of the missing probabilities? Inside the chart lavender 0.31 vanilla 0.18 cinnamon 0.23 floral? Coconut? The answer choices are 0.10 0.14 0.20 0.28
Answer: .14
Step-by-step explanation: 2020 edg
Answer:
.14
Step-by-step explanation:
I just took the test
help me and I’ll give you brainliest
Answer:
8
Step-by-step explanation:
It's a ratio.
h/15=24/45
cross-multiply
45h=360
h=8
1. What angles are
congruent to angle 5?
Answer:
All angles that are either exterior angles, interior angles, alternate angles or corresponding angles are all congruent. The picture above shows two parallel lines with a transversal. The angle 6 is 65°. Is there any other angle that also measures 65° hope this helps you
Step-by-step explanation:
For the right triangle above, which is closest to the value of x?
A .12
B. 18.8
C. 09
D. 20
Dan received 45 out of 60 points on his science test. What percent did he receive on his test?
Given polynomial A and polynomial B below, which binomial factor do they have in common?
Please help
Complete the square
to find the vertex
of this parabola.
y2-8x+2y+17=0
([?], [ ]
Answer:
the answer is 2,-1 please mark me brainless thank you
Answer:
The answer would be (2,-1)
Step-by-step explanation:
Fill in 2 and then -1
Peter loves to play soccer. He practices 30 minutes on the first day, 36 minutes on the second day, 43.2 minutes on the
third day. He keeps up this pattern for the entire month of October. How much time, in total, will he have practiced after 31
days? Round to the nearest thousandth.
Answer:
I don't have the ability to actually find the answer right now,
Step-by-step explanation:
but the numbers are increasing by 1/5 per number, so do with that what you will
( 9 − p ) ( 9 − q ) ( 9 − r ) ( 9 − s ) = 9. What is the value of p + q + r + s ?
p(r + s) = 5 and q(r + s) = 3.
by simply addind those two equations.
p(r + s) + q(r + s) = 5 + 3
(p + q) (r + s) = 8 Statement #2: (p + q) = (r + s)
(p+q)×(r+s)=(p+q)×(p+q)=(p+q
it's been said it's not allowed us to arrive at a specific numerical value. The statementby itself inadequate.
please help me this is confusing please add an explanation to it
Answer:
2
Step-by-step explanation:
As it would look better.
1 would make the graph too big
12 would be useless as there are no "answers" more than 12
10 would be useless too as the biggest number used is 10. therefore, 5, 7 would be cramped and too hard to figure out.