Answer:
-17
Step-by-step explanation:
4.5*6=27
so -44++27
The probability that any postcard posted in Portugal on Monday is delivered to the UK within a week is 0.62.
The probability that any postcard posted in Portugal on Friday is delivered to the UK within a week is 0.41.
Anna is on holiday in Portugal.
She posts 15 postcards to the UK on Monday.
How many of her postcards can she expect to be delivered within a week?
(2 marks)
Answer:
You can expect at least 9 of her postcards to arrive within a week
To find that, we multiply the number of postcards by the probability
15 x 0.62 = 9.3
Hope this helps
Good Luck
You are coordinating the construction of a shelter for homeless people. A large number of college students and members of a religious organization have signed up as volunteers for constructing the shelter. About 30% of these volunteers are skilled, but the rest are not. It is estimated that the total number of man-hours required to complete the construction of the shelter is 1200—if all volunteers are skilled. Three times as many unskilled volunteers are required to complete any job compared to skilled volunteers. The average number of hours a skilled volunteer is available is 10/week while unskilled volunteers are available for 15 hours every week.
Explanation:
The plan outlined here makes nearly best use of available resources and job constraints. It results in job completion in about 12 weeks, or 3 months.
__
For simplicity, we choose to work 5 hours per day, 5 days a week. Each skilled volunteer will complete their weekly 10 hours by working 2 days. Each unskilled volunteer will complete their 15 hours by working 3 days. Some volunteers will work an "interrupted" schedule that consists of non-consecutive work days. The purpose of this is to provide compliance with job site limitations, volunteer hour limitations, and to maximize continuity of communication as the job progresses.
A weekly schedule along these lines is shown in the attachment. It has 2 skilled volunteers and 6 or 7 unskilled volunteers on site each day. The ratio of skilled to unskilled volunteers is 31% : 69%. Each works the maximum number of hours for their skill level.
The net result is that 50 skilled hours and 165 unskilled hours are worked each week.
__
We assume the wording "three times as many unskilled volunteers are required to complete any job compared to skilled volunteers" means that 3 unskilled hours are equivalent to 1 skilled hour. (An alternative interpretation is that 45 hours of unskilled labor is equivalent to 10 hours of skilled labor.)
Using this assumption, job completion occurs at the equivalent rate of ...
50 +165/3 = 105 . . . equivalent skilled hours per week
The total job requirement of 1200 skilled hours can be met in 12 weeks' time, well within the 6-month desired completion period. (Even using the alternate interpretation of labor equivalent, the job can be done in 14 weeks.)
__
In any given week, the 5 skilled volunteers are designated s1–s5, and the 11 unskilled volunteers are u1–u11. The days they're scheduled to work are identified by the weekday labels M, T, W, T, F. Skilled volunteer s1 works only Monday and Friday, and is responsible for week-to-week tie-in. Unskilled volunteers u2, u4, u7, u9 get two (2) days off in the middle of each week.
An incomplete distribution is given below:Variable You are given that the median value is 70 and the total number of items is 200. Using the median formula fill up the frequencies.
Answer:
The missing frequencies are x = 8 and y = 43.
Step-by-step explanation:
Median Value =70
Then the median Class =60-80
Let the missing frequencies be x and y.
Given: Total Frequncy = 200 , Median = 46
[tex]\left|\begin{array}{c|ccccccc}Value&0-20&20-40&40-60&60-80&80-100&100-120&120-140\\Frequency&12&30&x&66&y&27&14\\$Cumu.Freq&12&42&42+x&108+x&108+x+y&135+x+y&149+x+y\end{array}\right|[/tex]
From the table
[tex]\sum f_i =149+x+y[/tex]
Here, n = 200
n/2 = 100
Lower Class Boundary of the median class, l=60
Frequency of the median class(f) =66
Cumulative Frequency before the median class, f=42+x
Class Width, h=10
[tex]Median = l + \dfrac{\dfrac{n}{2} - c.f }{f} \times h[/tex]
[tex]70 = 60+ \dfrac{100- 42+x }{66}\times 10\\70 = 60+ \dfrac{58+x }{66}\times 10\\70-60=\dfrac{58+x }{66}\times 10\\10*66=10(58+x)\\58+x=66\\x=66-58\\x=8[/tex]
200=149+x+y
200=149+8+y
y=200-(149+8)
y=43
Hence, the missing frequencies are x = 8 and y = 43.
a square has a perimeter of 36cm2. what is the area of it?
Answer: 81
Step-by-step explanation:
We know that to find the area of a square you have to square the side length.
So since we know that he area is 36 cm square, then we will find the square root of 36.
36/4= 9 Now we know that the side length is 9 and a square has four sides which are all equal. The perimeter is the distance around the shape.
So just multiply 9 by 9 to find the area
9*9 = 81
An Indiana corn grower has 1000 bushels of corn that are to be divided between markets in Indianapolis and fort Wayne. These two markets need at least 100 bushels and 300 bushels. Determine the system of inequalities that describes the above situation.
Find the value of:[(1/4)-1 + (1/3)-2 - (1/2)-3 ] ÷ 52
Answer:
-71/624
Step-by-step explanation:
Easiest and fastest way to do this is to plug it into you calc. If you are doing it by hand, remember BPEMDAS and convert the fractions into same denominators to make adding easier.
One week, London earned $313.50 at her job when she worked for 15 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $647.90 ?
Answer:
31hr
Step-by-step explanation:
please help easy time table consumer math <3
Which step is the same in the construction of parallel lines and the construction of a perpendicular line to a point off a line?
Answer:
Both types of lines are built on the same plane although they meet different objectives for which they are built.
Step-by-step explanation:
The difference is that in the case of parallel lines they will never cross and in the case of perpendicular lines if they cross each other, which can give rise to the formation of right angles to each other.
Which of the following equations is equivalent to 6.87p + 9.2 = -7.056?
use photo for reference
Answer:
The answer is the second one 687p + 920 = -705.6
Step-by-step explanation:
The decimal place in each number was shifted right 2 spots
SOMEBODY HELPPP PLEASEEEE. I don’t understand
Answer:
a) 18
b) 10
c) x^2 - 4x + 5
d) 4x^2 + 2
Step-by-step explanation:
f(x) = 4x - 2
g(x) = x^2 + 1
a) f(5) = 4(5) - 2 = 20 - 2 = 18.
b) g(-3) = (-3)^2 + 1 = 9 + 1 = 10.
c) g(x - 2)...
g(x - 2) = (x - 2)^2 + 1 = x^2 - 2x - 2x + 4 + 1 = x^2 - 4x + 5.
d) f(g(x)) = f(x^2 + 1) = 4(x^2 + 1) - 2 = 4x^2 + 4 - 2 = 4x^2 + 2.
Hope this helps!
Intersecting chords form a pair of supplementary, vertical angles. True or false. WILL GIVE BRAINLIEST.
Answer:
False
Step-by-step explanation:
Yes, they do give vertical angles, which by definition means opposite angles created by intersecting lines. BUT, these angles are not supplementary, as they don't always complete eachother. If they were supplementary, they would not be vertical angles. Instead, they create CONGRUENT veritcal angles.
Hope this helped!
The statement is False which is intersecting chords do not form a pair of supplementary and vertical angles.
What is the chord of the circle?A chord of a circle is defined as the line segment whose both endpoints of that line are on the circumference of the circle.
What is the vertical angle?Vertical Angles are the angles formed facing opposite to each other when two lines intersect each other.
What is the supplementary angle?Supplementary angles are the adjacent angles whose sum is 180° and together form a straight line.
So, here when two intersecting chords of the circle intersect each other at a point, they form two pairs of vertical angles, and according to the theorem of vertical angle, vertical angles are congruent.
As vertical angles are opposite to each other, so they can't be adjacent and can not form always 180° by adding their values and do not make straight line together.
But Intersecting chords of the circle can form a pair of congruent vertical angles.
So the given statement: Intersecting chords of a circle form a pair of supplementary, vertical angles is False.
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I need help badly please
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the SUBTRACTION.
so here we are going to use the BODMAS Rule,
Answer is -11
Answer:
Step-by-step explanation:
Can do skmeone help me
When a bus service reduces fares, a particular trip from New York City to Albany, New York, is very popular. A small bus can carry four passengers. The time between calls for tickets is exponentially distributed with a mean of 30 minutes. Assume that each caller orders one ticket. What is the probability that the bus is filled in less than 3 hours from the time of the fare reduction
The probability that the bus is filled in less than 3 hours from the time of the fare reduction is 0.8488
Let the time for calls for tickets is denoted by x.
The time between calls for tickets is exponentially distributed, with a mean of 30 minutes.
[tex]X \sim Exp(\lambda = \frac{1}{30})[/tex]
A small bus can carry four passengers. We have to find the probability that the bus is filled in less than 3 hours from the time of the fare reduction.
That means there are more than 4 passengers in less than 180 minutes (3 hours).
Let N be the number of seats filled in 3 hours.
Then,
[tex]N \sim Poisson(\lambda t)[/tex]
Or,
[tex]N \sim Poisson(\frac{1}{30} \times180)[/tex]
[tex]N \sim Poisson(6)[/tex]
Then the required probability is:
[tex]P(N\geq 4) = 1 - P(N < 4)[/tex] --------(1)
PDF for Poisson random variable with parameter λ is give by:
[tex]P(X =x) = \dfrac{{e^{-{\lambda}} {\lambda}^x}}{x!}[/tex]
Then for the variable N
P(N<4) = P(N=0)+P(N=1)+P(N=2)+P(N=3)
[tex]P(N < 4) = \dfrac{{e^{-{6}} {6}^3}}{3!} +\dfrac{{e^{-{6}} {6}^2}}{2!} +\dfrac{{e^{-{6}}{6}^1}}{1!}+\dfrac{{e^{-{6}} {6}^0}}{0!}[/tex]
On solving the above:
P(N<4) =0.0892+ 0.0446+0.0149+0.0025
P(N<4)= 0.1512
Substitute this value in (1)
P(N≥4) =1-0.1512
P(N≥4) =1-0.1512
P(N≥4) =0.08488
Hence, the required probability is 0.8488.
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cot(45-A)=tan2A+sec2A
Answer:
cot(45 -A) = cot(90 - (45 + A)) = tan(45 + A) = tan2A + sec2A
Step-by-step explanation:
cot(45 -A) = tan2·(A) + sec2·(A)
We have;
tan2(A) + sec2(A) = sin2(A)/cos2(A) + 1/cos2(A) = (sin2(A) + 1)/cos2(A)
= (sin²(A) + cos²(A) + 2·sin·(A)cos(A))/(cos²A - sin²A)
= (sin(A) + cos(A))²/((cos(A) -sin(A))(cos(A) +sin(A)))
= (sin(A) + cos(A))/((cos(A) -sin(A)))
= (cos(A)(1 + sin(A)/cos(A)))/(cos(A)(1 - sin(A)/cos(A)))
= (1 + tan(A))/(1 - tan(A))
= (tan 45 + tan(A))/(1 - tan(45)·tan(A)) = tan(45 + A)
cot(π/2 - x) = tan(x)
= cot(π/2 - (45 + A)) = tan(45 + A)
π/2 = 90°
= cot(90 - (45 + A)) = tan(45 + A)
cot(45 - A) = tan(45 + A) = tan(2A) + sec(2A).
how many miles are in 10,560 yards?
1 mi. = 1,760 yds.
10,560 yds. = ? mi.
Answer:
6 mi
Step-by-step explanation:
10560 yds ÷ 1760 yds = 6 mi.
Answer: 6 miles
Step-by-step explanation:
1 mile = 1,760 yds.
Then 10,560/1,760
= 6
Therefore, 10,560 yards is equal to 6 miles
What is the parametric form of the line r = (2, -3, 0) + t(1, 0, -1)?
Answer:
d
Step-by-step explanation:
(x,y,z)=(2,-3,0)+t(1,0,-1)
(x,y,z)=(2,-3,0)+(t,0,-t)
(x,y,z)=(2+t,-3,-t)
x=2+t
y=-3
z=-t
If you don't understand, you can ask me :)
4. Find the height of a cylinder whose radius is 7cm and the total surface area is 968 sq.cm
(1 Point)
17cm
16cm
15cm
14cm
(its an emergency the due date is about to finish so let's make it quick)
Answer:
Height of the cylinder = 15
Step-by-step explanation:
According to the question, TSA=968
TSA of cylinder=2π r (r+h2*22 / 7*7 (7+h) = 968
2*22 (7+h) = 968
(7+h) = 968/44
7+h=22
h = 22-7
= 15 cm
Suppose that each country currently has 90 workers and each decides to transfer some amount of labor toward its area of comparative advantage. The United States transfers 10 workers away from socks toward producing cell phones. Thailand transfers 18 workers away from cell phones toward producing socks. What will be the new total output of cell phones for both countries combined?
Answer:
I got 41000 cell phones.
Step-by-step explanation:
Step 1: I figured out the amount of each workers from 90
US Sock Production: 18 workers
Thailand Sock Production: 15 workers
US Cell Production: 27 workers
Thailand Cell Production: 30 workers
Step 2: I adjusted the workers amounts to the question's changes
US Sock Production: 18 - 10 = 8 workers
Thailand Sock Productions: 18 + 15 = 33 workers
US Cell Production: 27 + 10 = 37 workers
Thailand Cell Production: 30 - 18 = 12 workers
Step 3: Find the total amount of cell phones produced
4(1000) + 37(1000) = 41000 cell phones
*12/3 = 4 because 3 workers are needed to make 1000 cell phones
Plz help me I really need it not to beg and be annoying buts its for a test.The 6th term of some arithmetic sequence is 26, and the 7th term is 30. Find its first term and the common difference. Answer: The 1st term is ; The common difference is .
Answer: The first term is 6; the common difference is 4.
Step-by-step explanation:
Uptown Tickets charges $7 per baseball game tickets plus $3 processing fee per order. Is the cost of an order proportional to the number of tickets ordered? Show your work and explain your thinking in words.
Answer:
No it is not because it is only once when you get the fee
Step-by-step explanation:
So if you look at it, first of all there is not multiplication going on, so there are not ratios, second when there is only once that the fee added no matter to the amount of tickets, it means no propotion
Find the solution of the following simultaneous inequalities: x - 7 –1
Answer:
x-8
Step-by-step explanation:
You add the -7 and -1 and then put the x in front of your answer.
Answer: x-8
Step-by-step explanation:
x-7-1
-7-1=-8
x-8
Complete the point-slope equation of the line through (-1,-10) (5,2)
Answer:
Step-by-step explanation:
(2+10)/(5+1)= 12/6 =2
y + 10 = 2(x + 1)
y + 10 = 2x + 2
y = 2x - 8
Find five rational numbers between 2/3and4/5
Answer:
61 / 90, 62 /90, 63 /90, 64/90, 65/90
Explanation:
2/3 = 2 x 5 / 3 x 5
= 10 / 15
4/5 = 4 x 3 / 5 x 3
12 / 15
we can find 5 rational numbers betwen 2/3 and 4/5 by multiplying them with 5 + 1 = 6
10 / 15 X 6 /6
= 60 / 90
12/ 15 X 6 /6
= 72 / 90
the rational numbers = 61 / 90 62 /90 63 /90 64/90 65/90
Answer:
31/45, 32/45, 11/15, 34/35, 7/9.
Step-by-step explanation:
The LCM of 3 and 5 is 15 so we can write 2/3 and 4/5 as:
10/15 and 12/15 so one rational number between these is 11/15.
Now 11/15 = 33/45 and 4/5 = 36/45
So 2 rationals between these are 34/45 and 35/45 = 7/9
2/3 = 30 /45 and 11/15 = 33/45
so 2 rationals between these are 31/45 and 32/45.
Follow the steps to finish solving the equation –3x + 18 = 7x. 1. Add 3x to both sides to isolate the variable term. 2. Divide both sides by 10. x =
Answer:
x= 9/5
Step-by-step explanation:
-3x+18= 7x18+= 10x x= 18/10x= 9/5The value of 'x' by using given steps will be 1.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ - 3x + 18 = 7x
Now,
Solve the expression by using the given steps as;
The expression is,
⇒ - 3x + 18 = 7x
Add 3x to both side,
⇒ - 3x + 18 + 3x = 7x + 3x
⇒ 10 = 10x
Divide both sides by 10,
⇒ 10/10 = 10x/10
⇒ 1 = x
⇒ x = 1
Thus, The value of x by using given steps will be 1.
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Which is a better deal? Three movie tickets for 18 dollars or 8 movie tickets for 42 dollars? How do you know? How much money do you save per ticket with the better deal?
Answer:
$42 for 8 tickets
Step-by-step explanation:
To tell which is the better deal you need to find out how much each ticket costs per scenario
$18 for 3 tickets you will need to do 18/3 which will give you $6 a ticket
$42 for 8 tickets you will need to do 42/8 which will give you $5.25 a ticket
$42 option is cheaper per ticket so it is therefore the better option.
BRAINLIEST ANSWER
Which trigonometric ratio is correct for triangle DEF? (Hint: Use
Pythagorean Theorem first)
Sin(D)= 24/7
Tan(D)= 24/25
Cos(E)= 24/25
Sin(E)= 7/24
Answer:
/25 is the trigonometric
tan=24
Answer:
cos(e) sin(e) is the he correct ratio
Can anyone help me with this question
Answer:
Step-by-step explanation:
Like your other question, let's break it down systematically
6x + 9y - 9(6x - 3y + 8z)
Use the distributive property
6x + 9y - 9(6x - 3y + 8z)
6x + 9y - 54x - 27y + 72z
Match like terms
6x - 54x = -48x
9y - 27y = -18y
72z - 48x - 18y
Use the identity below to complete the tasks:
23 - 63 = (a - b)(a² + ab + b2)
When using the identity for the difference of two
cubes to factor 64x8 - 27
a=
b =
Answer:
a is 2q^2r
b is 3s^2t
the expression factored is...
(2q^2r+3s^2t)(4q^4r^2-6q^2rs^2t+9s^4t^2)
Step-by-step explanation:
find 1st - 4th term and then the 10th term for:
A: rule is n^2+3
B: rule is 2n^2
Answer:
A
n^2+3
1. 1^2+3= 4
2. 2^2+3= 7
3. 3^2+3= 12
4. 4^2+3= 19
5. 10^2+3= 103
B
2n^2
1. 2*1^2=2
2. 2*2^2= 8
3. 2*3^2= 18
4. 2*4^2= 32
5. 2*10^2= 200
Answer:
see below
Step-by-step explanation:
n^2+3
n=1: 1^2+3 = 1+3 =4
n=2: 2^2+3 = 4+3 =7
n=3: 3^2+3 = 9+3 =12
n=4: 4^2+3 = 16+3 =19
n=10: 10^2+3 = 100+3 =103
2n^2
n=1: 2*1^2 = 2*1 =2
n=2: 2*2^2 = 2*4 =8
n=3: 2*3^2 = 2*9 =18
n=4: 2*4^2 = 2*16 =32
n=10: 2*10^2 = 2*100 =200