Answer:
Step-by-step explanation:
ans is -35/4.
Q8.
On a farm
one-fifth of the animals are goats
25% of the animals are sheep
the rest of the animals are cows.
What fraction of the animals on the farm are cows?
Give your answer in its simplest form.
Answer:
28/5
Step-by-step explanation:
Pls help and show workings due ASAP
The length of time that it takes for a ferry to reach a summer resort from the mainland is approximately normally distributed with a mean of 2 hours and a standard deviation of 12 minutes. Over many past trips, what proportion (area) of times has the ferry reaches the island in A) less than 1 hour, 45 minutes? B) more than 2 hours, 5 minutes? C) between 1 hour, 50 minutes and 2 hours, 20 minutes?
Answer:
A) 0.10565
B) 0.33846
C)
Step-by-step explanation:
The length of time that it takes for a ferry to reach a summer resort from the mainland is approximately normally distributed with a mean of 2 hours and a standard deviation of 12 minutes.
Note that, all units must be in minutes
We solve this question using z score formula
= z = (x-μ)/σ
where
x is the raw score
μ is the population mean = 2 hours
Converting to minutes
1 hour = 60 minutes
2 hour = x
Cross Multiply
x = 2 × 60 minutes
x = 120 minutes
Mean = 120 minutes
σ is the population standard deviation = 12 minutes
Over many past trips, what proportion (area) of times has the ferry reaches the island in
A) less than 1 hour, 45 minutes?
Converting 1 hour 45 minutes to minutes
60 minutes = 1 hour
Hence:
60 + 45 minutes = 105 minutes
For x < 105 minutes
= 105 - 120/12
= -1.25
Probability value from Z-Table:
P(x<105) = 0.10565
B) more than 2 hours, 5 minutes?
Converting 2 hours 5 minutes to minutes
Hence:
1 hour = 60 minutes
2 hour = x
Cross Multiply
x = 2 × 60 minutes
x = 120 minutes
Hence:
120 + 5 minutes = 125 minutes
For x < 125 minutes
z = 125 - 120/12
z = 0.41667
Probability value from Z-Table:
P(x<125) = 0.66154
P(x>125) = 1 - P(x<125) = 0.33846
C) between 1 hour, 50 minutes and 2 hours, 20 minutes?
Converting 1 hour, 50 minutes to minutes
= 60 minutes = 1 hour
Hence:
60 + 50 minutes = 110 minutes
For x = 110 minutes
= 110 - 120/12
= -0.83333
Probability value from Z-Table:
P(x = 110) = 0.20233
Converting 2 hours, 20 minutes to minutes
= 1 hour = 60 minutes
2 hour = x
Cross Multiply
x = 2 × 60 minutes
x = 120 minutes
Hence:
120 + 20 minutes = 140 minutes
For x = 140minutes
z = 140 - 120/12
= 1.66667
Probability value from Z-Table:
P(x = 140) = 0.95221
The sum of two numbers is 120. Three times
their difference is 48. What are the numbers?
TERS A.5(C) A.1(A), A1(B)
F. 16, 120
G 36, 52
H 52,68
J 68, 84
Pleasss help thank you :)
Answer:
The answer is 68 and 52
Step-by-step explanation:
x + y = 120
3(x - y ) = 48
We have 3x + 3y = 360
and 3x - 3y = 48
Adding we have the following:
6x = 408
x = 68
y = 120-48 = 52
find the value of the expression below x=2 3x
Your baseball team has won 6 game and lost 4 game.If the the team dosen;t lose anymore games how many games must the team win to have a win:the ration is 2:1 ? Explain your answer
Answer: 2 more games
Step-by-step explanation:
From the question, we are informed that a baseball team has won 6 game and lost 4 game.
We are further told that the team dosent lose anymore games and want to know the number of games they must win to have a ratio of 2:1.
Since they have lost 4 games and need a ratio of 2:1. This means we have to multiply the game lost by 2. This will be: = 4 × 2 = 8 games.
Since they've won 6 games already, they'll need to win = 8 - 6 = 2 games more.
Work out the volume of this sphere.
Give your answer to 1 decimal place.
4.7 cm
Answer:
434.9 cm³
Step-by-step explanation:
Volume of a sphere: 4/3πr³
Substitute the information to find the volume.
4/3π(4.7)³ = 434.9
Which answer choice describes y = -3x2 +7x - 2 accurately?
Answer:y = y = -7x
Step-by-step explanation: y - 14 = -7(x - (-2))
y - 14 = -7x - 14
if f(x) = 2x/x-5
find f-1(x)
Answer:
5x/x-2
Step-by-step explanation:
rewrite it as x=2y/y-5 to make y the subject
multiply by (y-5) on both sides to get x(y-5)=2y
simplify x(y-5)=2y to get xy - 5x = 2y.
in order to get y as a subject you would need to move all the (y)s to one side.
Which would leave you with xy - 2y = 5x. you can now make y the subject from here through factorisation : y(x-2)=5x.
Then to finish with y as a subject divide (x-2) on both sides to get the answer which is : y = 5x/x-2
Sorry if this is confusing but this is me explaining how my thought process works for this question.
The inverse of the function will be -
f⁻¹(x) = 5/(1 - 2/x)
What is inverse of function? What is a mathematical equation? What do you mean by domain and range of a function?In mathematics, the inverse function of a function f is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by [tex]{\displaystyle f^{-1}.}[/tex]A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.
Given is f(x) = 2x/(x - 5)
We have -
y = 2x/(x - 5)
replace [x] with [y] as -
x = 2y/(y - 5)
Solving for y -
y/(y - 5) = x/2
(y - 5)/y = 2/x
(y /y - 5/y) = 2/x
(1 - 2/x) = 5/y
y = 5/(1 - 2/x)
f⁻¹(x) = 5/(1 - 2/x)
Therefore, the inverse of the function will be -
f⁻¹(x) = 5/(1 - 2/x)
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ2
I NEED HELP WITH 8TH GRADE MATH
Answer:
Are you doing Pythagorean theorem?
If not, what is your unit topic?
Answer:
Step-by-step explanation:
3. 17
4. 24
5. 24.21
6. 40
7. 15.81
8. 16
A 12 ft ladder leans against a wall so that the base of the ladder is 5 ft from the wall How high, to the nearest foot, up on the wall will the ladder reach?
Answer: 10.9, about 11 ft
Step-by-step explanation:
a^2 + b^2 = c^2
a^2 + (5)^2 = (12)^2
Answer:
The ladder is the hypotenuse and one side equals 5 feet.
From the Pythagorean Theorem we can calculate the other side:
other side^2 = 12^2 -5^2
other side^2 = 144 -25
other side^2 = 119
other side = 10.9087121146
Rounding, we get 11 feet.
Step-by-step explanation:
solve the inequality 9-12>-13
A. q>1
B. q>-1
C. q>25
D. q>-25
Answer:
C
Step-by-step explanation:
A graduated cylinder is filled with 20ml of water. Then, an 8g marble is dropped into the cylinder, causing the volume to change to 24ml. What is the density of the marble?
Answer:
The density of the marble is 2,000 kg/m³
Step-by-step explanation:
The given parameters for finding the density of the marble are;
The volume of water in the graduated cylinder, v₁ = 20 ml
The mass of the marble dropped into the graduated cylinder, m = 8 g
The new volume of the cylinder after the 8 g marble is dropped into the cylinder, v₂ = 24 ml
Therefore, the volume of the marble, v = v₂ - v₁
Substituting the known values gives;
The volume of the marble, v = 24 ml - 20 ml = 4 ml
Density, ρ = Mass, m/(Volume, v), the units of density is kg/m³
Therefore, the density of the marble, [tex]\rho _{marble}[/tex], is given as follows;
[tex]\rho _{marble}[/tex] = m/v = (8 g)/(4 ml) = 2 g/ml
1 g/ml = 1 kg/l = 1,000 kg/m³
∴ [tex]\rho _{marble}[/tex] = 2 kg/l = 2,000 kg/m³.
Find the solution to the equation 30x +7= 9. Give
your answer as a fraction.
The four sides of a garden measure 8 1/3 feet, 17 1/4 feet, 17 1/2 feet, and 11 3/4 feet. Find the length (in ft) of the fence needed to enclose the garden. (Enter your answer as a simplified mixed number.)
Given :
The four sides of a garden measure 8 1/3 feet, 17 1/4 feet, 17 1/2 feet, and
11 3/4 feet.
To Find :
The length (in ft) of the fence needed to enclose the garden.
Solution :
First simplifying the given mixed numbers :
8 1/3 = 25/3 feet
17 1/4 = 69/4 feet
17 1/2 = 35/2 feet
11 3/4 = 47/4 feet
Now, length of fence needed to enclose the garden is :
[tex]L = \dfrac{25}{3}+ \dfrac{69}{4}+ \dfrac{35}{2}+ \dfrac{47}{4}\\\\L = \dfrac{(25\times 4)+ ( 69\times 3) + ( 35\times 6) + (47 \times 3 )}{12}\\\\L = \dfrac{658}{12}\ feet[/tex]
Hence, this is the required solution.
If x = 2y + 3 and 4x – 5y = 9, what is the value of y?
Answer:
Step-by-step explanation:
y=-1 ans.
x=2*-1=3
x=-2+3
x=1 ans.
Proof:
4*1-5*-1=9
4+5=9
9=9
Answer:
9
Step-by-step explanation:
The price of a pair of shoes increase from $65 to $68 What is the percent increase to the nearest percent
Answer:
4.61% increase (round up as needed)
Step-by-step explanation:
Subtract the smaller amount from the larger to find the dollar difference
[tex]68-65=3[/tex]
Then divide the difference by the original amount
[tex]3/65=0.0461[/tex]
Move the decimal point over two spaces (multiply by 100) to get your percentage
0.0461=4.61%
Round up as needed.
y = -2/3 x in standard form
Answer: y = -2/3x in standard form is 2x + 3y = 0
Answer:
x + y = -2/3
Step-by-step explanation:
When changing something to standard form, you want all variables on one side, and the remaining numbers gone.
ZX and zy are supplementary angles. zy measures 33°.what is the measure of ZX
Answer:
147°
Step-by-step explanation:
supplementary angles equal to 180° in total so...
180 - 33 = 147
Pls help me. It due ASAP...
Answer:
b
Step-by-step explanation:
PLEASE HELP!
which expression is equivalent to 4(3+5) - 3.9%?
C 1220-54
Answer: 30.752
Step-by-step explanation:
HALP! WORD PROBLEM 20 points: A store has reduced the price by $20. How large must the next discount be so the new price will be half of the original price? Express your answer as a percent to the nearest tenth.
Answer:
HALP word is wrong all word is but HALP is wrong.
What is the equation of the line that passes through the points 1/2/3 and (-1,-1
a.y=-6x+5
b.Y=5/6X-1/6
C.Y=2/3X+1/5
D.y=6/5x+1/5
Answer:
(1, 2/3) (-1, -1) are the points. use the slope formula to find the slope y2-y1/x2-x1
(-1 - 2/3) / (-1 -1) (answer both sides of the division side)
-5/3 / -2 (divide)
slope = 5/6 (the slope)
plug in values you know into point-slope form (y -y1) = m(x-x1)
y - (-1) = 5/6 (x - (-1) (i chose the easier point to plug in. two neg. make a pos. )
y +1 = 5/6 (x +1) (use the distributive property)
y +1 = 5/6x+5/6 (subtract 1 from both sides)
y = 5/6x - 1/6 or B (this is the equation)
Step-by-step explanation:
I hope this helped :))
Hi! during this pandemic it's kind of hard to learn math over the screen. no one is willing to help since my teachers are busy and my mom is confused. I Don't have friends to go to who could help me..So i'm hoping someone here could help! ...!!i cropped it so you could see better..Thanks!
Answer:
a) c=33.5
I'll try my best to explain and help you out here! online school sucks, I hope you get the hang of it soon!
Step-by-step explanation:
Simplify both sides of the equation.
c(5)=(35.5)(5)−10
5c=177.5+−10
5c=(177.5 + −10) (Combine Like Terms)
5c=167.5
Divide both sides by 5.
5c/5 = 167.5/5
c=33.5
I'm not entirely sure about the second question but I'll try to figure it out and let you know!
All squares are also rhombuses.
True or false
Answer:
true
Step-by-step explanation:
Cause if you draw a square and turn it, its gone be a rhombus
Answer:
True
Step-by-step explanation:
Help. What is the length of EF in the right triangle below.
Answer:
A
Step-by-step explanation:
Since the triangle is right use Pythagoras' identity to find EF
The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is
EF² + DF² = DE² ← substitute values
EF² + 12² = 18², that is
EF² + 144 = 324 ( subtract 144 from both sides )
EF² = 180 ( take the square root of both sides )
EF = → A
What is the y intercept of the following equation 3x-2y=4
Answer:
(0, -2)
i am pretty sure this is the answer
Two competing gyms each offer childcare while parents work out. Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 per 5 minutes of childcare. Which comparison of the childcare costs is accurate?
Gym B charges $1.05 less per hour than Gym A.
Gym B charges $1.50 less per hour than Gym A.
Gym B charges $5.25 less per hour than Gym A.
Gym B and Gym A charge the same hourly rate for childcare.
someone, please help !!
Answer:
gym a and b charge the same
Step-by-step explanation:
5 mins x 12 = 60 mins o.75 x 12 = 9
Answer:
Gym B and Gym A charge the same hourly rate for childcare.
Step-by-step explanation:
$0.75 per 5 minutes
$9.00 per haur
5 × 12 = 1 haur
$0.75 × 12 =$9.00
Michael reads 12 pages of a book in 18 minutes, 8 pages in 12 minutes, and 20 pages in 30 minutes. I’d this a proportional relationship? What does it represent? Write an equation to represent this situation.
Answer:
Y= 1.5x
Step-by-step explanation:
What you would do is divide all of the minutes by the amount of pages to find how long for each rate for one page. (ex. 18/12, Michael reads 1 page in 1.5 minutes. 12/8, Michael reads 1 page in 1.5 minutes. 30/20, Michael reads one page in 1.5 minutes) Therefore, yes it is proportional, and the equation is y=1.5x (there is no y intercept)
I hope this will help
Determine if the function represented by the table is linear. Explain.
х -10 -14 -18-24
у 6 10 16 24
Answer:
The given table DOES NOT represent a linear function as there is NO CONSTANT change in x and y values.
Step-by-step explanation:
Given the table
x -10 -14 -18 -24
y 6 10 16 24
A linear function has a constant change in x and a constant change in y values.In order to determine whether the table represents the linear function or not, we need to check whether there is constant change in x and y.
It is clear that there is a NO constant change in x
i.e. -14-(-10) = -4, -18-(-14) = -4, -24-(-18) = -6
It is clear that there is a NO constant change in y
i.e. 10-6=4, 16-10 = 6, 24-16 = 8
Therefore, the given table DOES NOT represent a linear function as there is NO CONSTANT change in x and y values.