Answer:
Speed of plane is 250 miles per hour and speed of wind is 50 miles per hour
Step-by-step explanation:
Let x represent the speed of the wind. When travelling with the wind, the plane travels 1200 miles within 4 hours. Hence the speed of the plane with the wind is:
speed = distance / time = 1200 miles / 4 hours = 300 miles per hour
When travelling against the wind, the plane travels 1200 miles within 6 hours. Hence the speed of the plane against the wind is:
speed = distance / time = 1200 miles / 6 hours = 200 miles per hour
Therefore:
300 - x = 200 + x
300 - 200 = x + x
2x = 100
x = 50 miles per hour
The speed of the wind = 50 miles per hour. The speed of the plane = 300 - 50 = 200 + 50 = 250 miles per hour
Please help math problem
Answer:
Step-by-step explanation:
You're playing a game where you defend your village for me or evasion there are three characters of habit or human and five defensive tools magic sword shield slingshot or umbrella to pick from if you randomly choose your character into what is your probability that you won't be a hobby or use an umbrella
Answer:
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{14}{15}[/tex]
Step-by-step explanation:
Your question is poorly formatted (See comment section for complete question)
Given
[tex]x = \{elf, hobbit, human\}[/tex] ---- characters
[tex]n(x) =3[/tex]
[tex]y = \{Magic,Sword,Shield,Slingshot,Umbrella\}[/tex] --- tools
[tex]n(y) = 5[/tex]
Required
The probability that your character won't be a hobbit or your tool won't be an umbrella?
First we calculate the probability of choosing a hobbit.
[tex]x = \{elf, hobbit, human\}[/tex]
[tex]n(hobbit) = 1[/tex]
So:
[tex]P(hobit) = \frac{n(hobbit)}{n(x)}[/tex]
[tex]P(hobit) = \frac{1}{3}[/tex]
Using the complement rule, we calculate the probability of not choosing a hobbit
[tex]P(Not\ hobbit) = 1 - P(hobbit)[/tex]
[tex]P(Not\ hobbit) = 1 - \frac{1}{3}[/tex]
[tex]P(Not\ hobbit) =\frac{2}{3}[/tex]
Next, we calculate the probability of choosing an umbrella.
[tex]y = \{Magic,Sword,Shield,Slingshot,Umbrella\}[/tex]
[tex]n(Umbrella) = 1[/tex]
So:
[tex]P(Umbrella) = \frac{n(Umbrella)}{n(y)}[/tex]
[tex]P(Umbrella) = \frac{1}{5}[/tex]
Using the complement rule, we calculate the probability of not choosing an umbrella
[tex]P(Not\ Umbrella) = 1 - \P(Umbrella)[/tex]
[tex]P(Not\ Umbrella) = 1 - \frac{1}{5}[/tex]
[tex]P(Not\ Umbrella) = \frac{4}{5}[/tex]
The required probability is calculated using:
[tex]P(A\ or\ B) = P(A) + P(B) - P(A)P(B)[/tex]
In this case;
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = P(Not\ hobbit) + P(Not\ Umbrella) -[/tex] [tex]P(Not\ hobbit)*P(Not\ Umbrella)[/tex]
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{2}{3} + \frac{4}{5} - \frac{2}{3} * \frac{4}{5}[/tex]
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{2}{3} + \frac{4}{5} - \frac{8}{15}[/tex]
Take LCM
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{10+12-8}{15}[/tex]
[tex]P(Not\ hobbit\ or\ Not\ Umbrella) = \frac{14}{15}[/tex]
HELPPP PLEASEEEE
30 POINTSS
Answer: 1/2 mile
Step-by-step explanation:
[tex]2\frac{1}{2} -(\frac{1}{4} +1\frac{3}{4} )=Distance\\\22\frac{1}{2} =\frac{10}{4} \\\11\frac{3}{4} =\frac{7}{4} \\\frac{10}{4} -\frac{1}{4} -\frac{7}{4} =\frac{2}{4} =\frac{1}{2} \\[/tex]
Answer:
1/2 mile hope this helps
Step-by-step explanation:
Answer this for brainilest and 30points (no links or internet answer or you will get flagged
Answer:
C is 3..............................
GIVING BRAINLIEST -23 points-
URGENT HELP ME PLEASE!!!
Answer:
The answer is option c....
Mark as brainliest
A small business wants to meet the minimum medical loss ratio required. If projections show that the business will pay out an average of $8,900 per policy holder in health care claims, what is the minimum average premium they should charge per policy holder?
Answer:
$7120 or $7565 is the minimum average premium they should charge per policy holder
Step-by-step explanation:
Small business can charge 80-85% of the total value of the policy as premium.
In this case the spending per policy holder is $8900
Hence, per policy holder has to pay a premium of
80-85% of $8900
$7120 or $7565 is the minimum average premium they should charge per policy holder
A unicycle wheel has a diameter of 25 inches. How many inches will the unicycle travel in 4 revolutions?
Use π = 3.14 and round your answer to the nearest hundredth of an inch.
Answer:
1963.48Step-by-step explanation:
25/2=12.5= π(12.5)=12.5 x 12.5= π(156.25)=
π = 490.87 x 4= 1963.48
Christine received a $70 gift card for a coffee store. She used it in buying some coffee that cost $7.52 per pound. After buying the coffee, she had $47.44 left on her card. How many pounds of coffee did she buy?
__ pounds
Answer:
3
Step-by-step explanation:
take 70 and subtract the amount left, which is $22.56 divide that by 7.52 and you get your answer of 3
Carmella is making a rectangular flower garden in her backyard. The space she wants to use is 4 meters in length and 2 meters wide. How much space will she have in her garden?
Answer:
8 meters
Step-by-step explanation:
4x2=8
Someone pleaseee help!! I’ll give brainliest!!
.....................
Answer: 65.97 yd^3
Step-by-step explanation:
The equation to find the volume of a cone is: v=[tex]\pi r^{2} \frac{h}{3}[/tex]
So, v = [tex]\pi[/tex] (3^2)(7/3) = 65.97345 yd^3
please help it's easy
Divide. Give the exact answer, written as a decimal.
Answer:
15.6
Step-by-step explanation:
Which angle ALWAYS has the same measurement?
1. Acute angle
2.Right angle
3.Obtuse angle
What is a perfect 5 pointed star
Answer:A perfect 5 pointed star geometrically is an equilateral concave decagon, it is also a common ideogram in modern culture.
Step-by-step explanation:
Determine the area of a circle whose diameter is 8 in Use 3. 14 for TT Enter your answer in the box. Round to the nearest hundredth, if necessary. A= blank inches squared
Answer:
50.24
Step-by-step explanation:
Area = pi*r^2
r = diameter/2
r = 4
Area = pi*4^2
Area = 3.14*16
Area = 50.24
Answer:
Step-by-step explanation:
The area A of a circle of radius r is A = πr², where π is often approximated by 3.14.
Here, with the circle diameter being 8, we figure the radius to be half that, or 4.
Then the area of this circle is A = (3.14)(4 in)², or
A = 50.24 in²
There are 10 sweets in a box. There are n jelly beans and the rest are cola bottles. Colin takes 2 sweets out of the box at random. Write an expression for the probability of getting 2 jelly beans. Give your expression as a single fraction and simplify fully.
The probability expression is n/10 * (n - 1)/9 and the single fraction is n(n - 1)/90
How to determine the probability expression?We understand that there are 10 sweets in the box
Such that
Jelly beans = n
This means that
The rest = 10 - Jelly beans
So, we have
The rest = 10 - n
The probability of 2 jelly bean sweet is represented as
P(2 jelly bean sweets) = P(First jelly bean sweets) * P(Second jelly bean sweets)
This gives
P(2 jelly bean sweets) = n/10 * (n - 1)/9
Solving further, we have
P(2 jelly bean sweets) = n(n - 1)/90
Hence, the probability is n(n - 1)/90
Read more about probability at
https://brainly.com/question/251701
#SPJ1
The correct answer is:
(10-n)(9-n)/90
mark it as brainly
Translations and reflections
Answer:
The answer is A. x + 5, y - 2
Step-by-step explanation:
The answer is A because you would move the block 5 spaces to the right and 2 spaces down.
Hope this helps!
I really need help right now someone help pls!!!
Type in the value of x.
12x - 2
130°
Answer:
Good question could someone answer it. I would like to know also
Explain why the following statement IS NOT a statistical question. "How
much electricity did Home 2 use on Day 1?"
Answer:
Because it only has one answer and there are no variety of answers.
hope this helps
i think of a number add three to it and multiply the outcome by 7 the solution is 24.5 set up an equation and solve it to find my original number
Doug worked out for 256 minutes.
Doug has an enemy named Cathy
Cathy worked out a total of 4 hours and 15 minutes.
Who worked out more? What was the difference in minutes?
Answer:
Step-by-step explanation:
Cathy worked 4 hours.
4 hours = 4 * 60 = 240 minutes
She worked an additional 15 minutes which brings her total up to 255.
Doug worked 1 minute longer than Cathy.
Answer:
a.) Doug worked more. b.)The difference is one minute.
Step-by-step explanation:
CAN BE DONE DIFFERENTLY
Cathy has 4 & 15 minutes, since each hour is 60 minutes we can multiply 60 by 4.
60
x4
240
Now adding the 15 it'll be 255.
DOUG WORKED MORE.
DIFFERENCE IS 1 MINUTE.
PLEASE HELP ME!!!!!!!
Answer:
62
Step-by-step explanation:
leave an brainlest!
Rays PQ and PS are perpendicular to each other.
What is the measure of LRPS plzzzzz
Answer:
m<RPS = 53 degrees
Step-by-step explanation:
Find the diagram attached
From the diagram shown;
m<QPR + m<RPS = 90
Given that;
m<QPR = x
m<RPS = x+16
Substitute into the formula;
m<QPR + m<RPS = 90
x+x+16 = 90
2x+16 = 90
2x = 90-16
2x = 74
x = 74/2
x = 37degrees
Get m<RPS;
Since m<RPS = x+16
m<RPS = 37 + 16
m<RPS = 53 degrees
Sabrina has gone to work the last 50 days. On 28 of those days, she arrived before 7:30 A.M. On the rest of the days, she arrived after 7:30 A.M. What is the experimental probability that she will arrive at work before 7:30 A.M. On her next day of work? What is the experimental probability that she will arrive after 7:30 A.M.?
Answer:
Prob (Arrive before 7.30) = 14 / 25 ; Prob (Arrive after 7.30) = 11 / 25
Step-by-step explanation:
Prob (Arrive before 7.30) = No. of days before 7.30 arrival / Total work days
= 28 / 50 = 14 / 25
Prob (Arrive after 7.30) = No. of days after 7.30 arrival / Total work days
= (50 - 28) / 50 = 22 / 50 = 11 / 25
or , 1 - Prob (Arrive before 7.30) = 1 - 14/25 = (25 - 11) / 25 = 11/ 25
It takes a snail 50 hours to travel 22 miles. At this rate, how many hours will it take the snail to travel 11 miles?
Answer: 25 hours
Step-by-step explanation:
Answer:
25 hours
Step-by-step explanation:
Which of the following is NOT a method to solve a system of equations?
O Absolution
O Substitution
OElimination
O Graphing
Answer:
•Absolution is not a method to solve system of equation
which fraction is not greater than 2/5
1/2
1/3
2/3
2/4
Answer:
1/2
Step-by-step explanation:
hope it helped u alot
Answer:
1/3 is not greater than 2/5
Step-by-step explanation:
Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27 pi cm^3 cubed of melted purple liquid. The radius of the cone is 3 cm.
What is the height of the cone?
Either enter an exact answer in terms of pi or use 3.14 for pi.
Answer:
9 cm
Step-by-step explanation:
Use the cone volume formula, V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]
Plug in the volume and radius, and solve for h, the height:
V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]
27[tex]\pi[/tex] = [tex]\pi[/tex](3²)[tex]\frac{h}{3}[/tex]
27[tex]\pi \\[/tex] = 9[tex]\pi[/tex][tex]\frac{h}{3}[/tex]
3 = [tex]\frac{h}{3}[/tex]
9 = h
So, the height of the cone is 9 cm
Please answer (IN school) 32.4-0.78
Answer: 31.62
Step-by-step explanation: