Answer:
Population: all men in the country
Sample: the 1,002 men selected
Step-by-step explanation:
The population describes the people/group of people involved.
The sample describes a portion taken out of the population.
Thus, in this case study, the population is all men in the country
The sample is the 1,002 men selected.
The relationship between the number of hours a plumber works and the total work fee she charges is proportional. Her fee for 5 hours of work is $350. Which of the fallowing could be combination of values for the plumbers work hours and total work fee she charges ?
Answer: $70 per hour
Step-by-step explanation:
Hi, to answer this question we have to calculate the hourly fee.
To do this, we simply have to divide the 5 hour fee price (350) by the number of hours worked.(5):
Mathematically speaking:
350/5 = $70 per hour
So, since the work fee is proportional, for x hours, the expression is:
70x
Feel free to ask for more if needed or if you did not understand something.
The product of two rational numbers is -28/75. If one of the numbers is 14/25, find the other
Answer:
-3/2
Step-by-step explanation:
Let x be the missing number
x*[tex]\frac{14}{25}[/tex] = [tex]\frac{-28}{75}[/tex] x = [tex]\frac{-28}{75}[/tex] * [tex]\frac{25}{14}[/tex] inverse 14/25 since it's a fraction x = [tex]\frac{-28*25}{75*14}[/tex] x = [tex]\frac{-4*7*25}{25*3*7*2}[/tex] write 75 as 25*3 and -28 as -4*7 to simplify x = [tex]\frac{-4}{6}[/tex] -4 is left on the top and 6 = 3*2 x = [tex]\frac{-3*2}{2*2}[/tex] x= [tex]\frac{-3}{2}[/tex]Y=x+3 y=2x+5 System of equations using Substitution
Answer: (-2,1)
Step-by-step explanation:
y=x+3
y=2x+5 substitute the y value in the first equation into the second equation
x+3 = 2x+5 now solve for x
-3 -3
x = 2x +2 subtract 2x from both sides
-2x -2x
-1x = 2 Divide both sides by -1
x= -2
The value of x is -2 to plot it into one of the equations to solve for y.
y= -2 + 3
y = 1
(-2,1)
Answer: x = − 2 and y = 1
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
/| y-x-3 = 0| y-(2*x)-5 = 0
We try to solve the equation: y-x-3 = 0
y-x-3 = 0 // + -x-3
y = -(-x-3)
y = x+3
We insert the solution into one of the initial equations of our system of equations
We get a system of equations:
/| x-(2*x)-5+3 = 0| y = x+3
-x-2 = 0 // + 2
-x = 2 // * -1
x = -2
We insert the solution into one of the initial equations of our system of equations
For y = x+3:
y = 3-2
y = 1
We get a system of equations:
/| y = 1| x = -2
Area of the cone when the radius is 4cm and the height is 12cm. Rounded to the nearest tenth
бу2 + 13y – 8 how to factorize this?
Answer:
We have 6y² + 13y - 8. We can rewrite this as 6x² + 16x - 3x - 8. Grouping terms we get 2x(3x + 8) - (3x + 8) and since both terms have the common factor of (3x + 8) the answer is (3x + 8)(2x - 1).
what is the mean for the data set 138 140 105 112 108 134 106 181 164 105
Answer:
the mean for the data set is 129.3
Evaluate the expression.
8! - 3!(5!)
Please help!
Answer:
39600
Step-by-step explanation:
8! - 3!(5!)
Evaluate.
40320 - 6(120)
40320 - 720
= 39600
Answer: 39600
Step-by-step explanation:
8!=40320
3!=6
5!=120
40320 - 6(120)
120*6=720
40320 - 720
= 39600
On a coordinate plane, polygon GHIJ translates 8 units to the left to form polygon G'H'I'J'. Which of the following equations is not necessarily true? A. GH = G'H' B. G'G = 8 units C. m∠HIJ = m∠H'I'J' D. m∠HI'J = m∠H'IJ'
Answer:
The answer would be letter B. This is because the problem wants you to find the equation that is not necessarily true. In this case G'G does not equal 8 units.
The sum of two numbers is 3 more than four times the first number. Their difference is 10 less than twice the second number. Find each of the numbers.
Answer:
x=1/8
y=27/8
Step-by-step explanation:
First number=x
Second number=y
x+y=4x+3
x-y=2y-10
Classify the following triangle. Check all that apply.
Answer:
NO
Step-by-step explanation:
IMAGE
The radius of circle C is 6 units and the measure of central angle ACB is StartFraction pi Over 2 EndFraction radians. What is the approximate area of the entire circle? square units What is the approximate area of the entire sector created by central angle ACB? square units What is the approximate area of the shaded region only? square units
Answer:
Step-by-step explanation:
We khow that the radius of our circle is 6
Let A be the area of our cercle :
A= 6^2*Pi = 36 Pi = 113.09 sq.units
We khow that the mesure of our angle ABC is Pi over 2 wich is 90 degree
So this triangle ABC is a right one .
So I think that we must khow the area of this triangle to be able to khow the area of the sector .
We have a hint : ABC is 90 degree so it is the quarter of our cercle
We need to divide the area of the circle by 4
113.09 ÷4 = 28.27
Answer:
113
28
22
Step-by-step explanation:
Can someone help me with this
Hey there! :)
Answer:
m∠y = 55°.
Step-by-step explanation:
Begin by solving for x since y and x are supplementary angles.
Recall that all of the angles in a triangle must sum up to 180°. Therefore:
180 - 30 - 25 = 125°.
x = 125°, therefore:
180 - 125 = 55°.
m∠y = 55°.
Answer:
55 Degrees
Step-by-step explanation:
The remote interior angle theorem states that to find the value of and exterior angle (y) you need to add the two remote interior angles. (25&30)
A top costs £48 in a sale after a 20% reduction. What is the original cost of the top before the sale?
Answer:
£60
Step-by-step explanation:
Let the original cost be x.
x × (1 - 20%) = 48
0.8x = 48
x = 48/0.8
x = 60
The original cost was £60 before the sale.
Answer:
£57.60
Step-by-step explanation:
find 20% of £48, which is £9.60
then add that to £48, which will give you the answer of £57.60
The vertex of the parabola below is at the point (5, -3). which of the equations below could be the one for this parabola?
A. x= -3(y + 4)^2 + 5
B. x = 3 (y + 3)^2 +5
C. y = -3 (x - 5)^2 - 3
D. x = 3 (y - 5)^2 - 3
Answer:
C
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given (h, k ) = (5, - 3 ), then
y = a(x - 5)² - 3 and with a = - 3, then
y = - 3(x - 5)² - 3 ← is a possible equation
Find the value of x needed to make the equation below true. 1.5(2x-4)=2(4x+2)
Answer:
x= -2
Step-by-step explanation:
1.5(2x-4)=2(4x+2)
3x-6=8x+4
-5x=10
x= -2
Which expression is equivalent to 5(9 + 7). I will mark brainliest if you answer. DatGuy323 I like You! Answer please
Answer: 80
Step-by-step explanation:
[tex]5(9+7)\\\\Parenthesis\\\\5(16)\\\\Multiply\\\\80[/tex]
Hope it helps <3
A salad bar offers vegetable platters in 4 sizes (small, medium, large, and super-sized) and 6 different vegetables to choose from. Different platters can be created by changing the size and/or the choice of vegetables. If Selena wants to order a platter with exactly 2 different vegetables, how many different platters could she create?
Answer:
The number of different platters Selena can create by selecting two different vegetables is 60 different platters
Step-by-step explanation:
The information given are;
The number of different sizes of salad available = 4
The number of different vegetable to choose from = 6
The number of vegetables Selena ordered = 2
The number of ways Selena can choose 2 vegetables out of 6 = ₆C₂ = 15 ways
The number of different platters (choice of vegetable and size of platter) Selena can create = The number of different sizes of salad available × The number of ways Selena can choose the vegetables
The number of different platters (choice of vegetable and size of platter) Selena can create = 4 × 15 = 60 different platters.
Find the area of the following
parallelogram:
1.5 cm
2.5 cm
2.25 cm
A= [?] cm
Answer:
given,
base (b) = 2.25cm
height (h) = 1.5 cm
now,
area (a) = b×h
or, a=2.25cm×1.5cm
therefore the area of parallelogram is 3.375cm^2.
hope it helps..
Answer:3.375 cm²
Step-by-step explanation:
Find the area of the following
parallelogram:
1.5 cm
2.25 cm
Solution:
(1.5×2.25)cm²
= 3.375 cm²
Hope it helps
Marlon earns 1500 dollars each month he pays rent of 525 dollars each month Find the amount he pays in rent as a percentage of his earnings.
Answer:
35%
Step-by-step explanation:
He pays 525 out of 1500 dollars.
525/1500 = 7/20
= 0.35
Marlon pays in rent 35% of his earnings.
I need help with this
A group of 20 people visited Anglesey for a weekend break.
• 10 of the group visited Beaumaris Castle.
• 13 of the group visited South Stack Lighthouse.
• 4 of the group did not visit either of these places.
Complete the Venn diagram below by stating the number of people in each region A,B,C and D to show this information.
The universal set, ε, contains all of the 20 people in the group.
Answer:
A = 4, B = 3, C = 7, D = 6
Step-by-step explanation:
A = 4 because A represents the number of people who didn't visit either place. This means that B + C + D = 20 - 4 = 16. To find C, which is the overlap we can do 10 + 13 - 16 = 7 so C = 7 which means B = 10 - 7 = 3 and D = 13 - 7 = 6.
Answer:
A = 4, B = 3, C = 7, D = 6
Step-by-step explanation:
In an arithmetic series, what is the sum of the first 22 terms if the first term is 12 and the common difference is 3?
Answer:
561
Step-by-step explanation:
an = dn - (a-d)
The difference is 3.
The first term is 12.
an = 3n - (12-3)
an = 3n - 9
Put n as 1, 2, 3, 4, 5 ....22.
3(1) - 9 = -6
3(2) - 9 = -3
3(3) - 9 = 0
3(4) - 9 = 3
3(5) - 9 = 6
...
3(22) - 9 = 57
Add the first 22 terms.
-6+-3+0+3+6+9+12+15+18+21+24+27+30+33+36+39+42+45+48+51+54+57
= 561
I NEED HELP PLEASE, THANKS! :)
Answer: proof below
Step-by-step explanation:
Use the Difference formula for sin:
sin (A - B) = sin(A)·cos(B) - cos(A)·sin(B)
sin (180° - θ) = sin(180°)·cos(θ) - cos(180°)·sin(θ)
= 0 · cos(θ) - -1 · sin(θ)
= 0 - -sin(θ)
= + sin(θ)
sin (180° - θ) = sin(θ) [tex]\checkmark[/tex]
Please help me with this question.
Answer: a) 110√2 meters
b) 2.42 hectares
Step-by-step explanation:
a) Since it is a square, the diagonal cuts the square into two 45-45-90 triangles where the diagonal is the hypotenuse. Therefore, the sides are length x and the diagonal is length x√2.
[tex]x\sqrt2=220\\\\\\x=\dfrac{220}{\sqrt2}\\\\\\x=\dfrac{220}{\sqrt2}\bigg(\dfrac{\sqrt2}{\sqrt2}\bigg)\\\\\\x=\large\boxed{110\sqrt2}[/tex]
b) Area of a square is side squared. 10,000 meters² = 1 hectare
[tex]A=(110\sqrt2)^2\\\\.\quad =(110)^2(\sqrt2)^2\\\\.\quad =12100(2)\\\\.\quad =24200\ \text{meters}^2\\\\.\quad =\large\boxed{2.42\ \text{hectares}}[/tex]
⚠️⚠️⚠️GIVING AWAY HUGE POINTS FOR ANYONE WHO COMPLETES THIS AND GETS THEM RIGHT!!!!!!!⚠️⚠️⚠️
Answer:
The average speed for his journey from York to Blackpool is 61.4 KM/H
Step-by-step explanation:
Jo paints some tennis balls and puts them in a bag. She picks a ball at random from the bag and replaces it. She repeats this 60 times, and gets a ball not painted 50 times. Find the experimental probability of getting a painted ball from Jo's bag.
Answer:
1/6
Step-by-step explanation:
An experimental probability is the number of times an event occurred when actually attempted.
So, if Jo does the experiment 60 times and receives 50 unpainted balls, then calculate how many painted balls she got:
60-50 = 10.
So, the probability of picking a painted ball = 10/60 = 1/6
Hope this helps
Examine the diagram, and answer the question. The points A(2,7) and B(−4,−3) are located in the coordinate plane as shown. Points A and B are shown in the coordinate plane at the locations indicated. What is the approximate distance between the two points?
Answer:
Option (2)
Step-by-step explanation:
Formula to get the distance between two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is,
d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
The given points are A(2, 7) and B(-4, -3)
Distance between these points will be,
AB = [tex]\sqrt{(2+4)^2+(7+3)^2[/tex]
= [tex]\sqrt{6^2+10^2}[/tex]
= [tex]\sqrt{136}[/tex]
= 11.66
≈ 11.7 units
Therefore, distance between the points A and B is 11.7 units.
Option (2) will be the answer.
Answer:
For those with the square root answer its 2\sqrt(34)
Step-by-step explanation:
Which statement is true about the quadratic equation 8x2 − 5x + 3 = 0? The constant term is 8.
Answer:
false
Step-by-step explanation:
the constant term is 3 not 8
hope this helps
What are the x-and y intercepts for the graph of 5x-2y=20?
Answer: y = (5)(2)x-10
Step-by-step explanation:
Express 160 as the product of its prime factors.
Write the prime factors in ascending order and
give your answer in index form.
Answer:
Step-by-step explanation:
160 = 2 × 2 × 2 × 2 × 2 × 5
Hope this helps
plz mark it as brainliest!!!!!!!!!!
The number 160 as a product of prime factors is 160 = 2 × 2 × 2 × 2 × 2 × 5
What are prime factors?A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols. In several numeral systems, the same set of symbols may represent various numbers.
A prime number factor is any prime number that can be multiplied by the original number to get the factor.
The prime factors of the numbers will be:-
160 = 2 × 2 × 2 × 2 × 2 × 5
Therefore, the number 160 as a product of prime factors is 160 = 2 × 2 × 2 × 2 × 2 × 5.
To know more about prime factors follow
https://brainly.com/question/18187355
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