Answer: A: 30% B: Yes they are independent events because they can both happen without the other one. C: No they are not mutually exclusive events because both of them can happen at the same time
Step-by-step explanation:
45 / 100 = .45 = 45%
.45 x 2/3 = .3
.3= 30%
Solve for pi : C = 2 pi r
Answer:
[tex]\frac{C}{2r}[/tex]=pi
Answer:
π= C/2r
Step-by-step explanation:
In order to solve for pi, we must get pi by itself on one side of the equation.
C= 2πr
Let's rearrange the right side of the equation. We can do this because of the commutative property of multiplication.
C= 2πr
C= 2r* π
pi is now being multiplied by 2r. The inverse of multiplication is division. Divide both sides of the equation by 2r.
C/2r= 2r*π/2r
C/2r= π
π=C/2r
Which of the following shows the intersection of the sets? {1, 5, 10, 15} {1, 3, 5, 7}
Answer:
{1,5}
Step-by-step explanation:
The intersection of the sets are all of the numbers that appear in both sets. In this case, the only numbers that appear in both are 1 and 5.
Answer:
{ 1,5}
Step-by-step explanation:
The intersection is what the two sets have in common
{1, 5, 10, 15}∩ {1, 3, 5, 7}
= { 1,5}
Toby cuts a pizza into 6 equal slices. He eats half a slice. What fraction of the pizza has he eaten?
The pizza is cut into 6 slices so each slice would be 1/6 of the pizza.
He at 1/2 of a slice:
1/6 x 1/2 = 1/12 of the pizza
15 and 10, what was his total at the end?
2. In a quiz, positive marks are given for correct answers and negative marks are given
for incorrect answers. If Jack's scores in five successive rounds were 25,-5,-10
Answer:
[tex]10[/tex]Step-by-step explanation:
So, here they said: Jack's scores in five successive rounds were 25,-5,-10..
Then, you should add his grades to know what's his score..
25 - 5 - 10 = 25 - 15 = 10
His total at the end is
10Hope this helps you.. Good Luck
can anyone help me with this?
Answer: 16y² - x²
Step-by-step explanation: The - sign means a difference, so the choices with + signs are eliminated (though 64x² and 9 are squares)
10 is not a square so that one is eliminated (though the y² and the 4x² are squares)
16 is the square of 4, y² is the square of y, and x² is the square. That expression shows a difference of squares.
Jeff worked 4 and 2/3 hours in the morning and 3 and 3/4 hours in the afternoon. How many total hours did he work
1. 8 and 1/2 hours
2.7 and 5/7 hours
3.7 and 5/12 hours
4.8 and 5/12 hours
Answer:
4. 8 5/12
Step-by-step explanation:
4 2/3 + 3 3/4 =
= 4 + 2/3 + 3 + 3/4
= 4 + 3 + 8/12 + 9/12
= 7 + 17/12
= 7 + 12/12 + 5/12
= 7 + 1 + 5/12
= 8 5/12
4x+6y= 10 -10x+2y= −8
Answer:
x=1, y=1
Step-by-step explanation:
To solve the equations, we first have to label them.
4x +6y= 10 -----(1)
-10x +2y= -8 -----(2)
From (1): 2x +3y= 5 -----(3)
From (2):
-5x +y= -4
y= 5x -4 -----(4)
Subst. (4) into (3):
2x +3(5x -4)= 5
2x +15x -12= 5 (expand)
17x= 12 +5 (simplify, +12 on both sides)
17x= 17 (simplify)
x= 17 ÷17
x= 1
subst. x=1 into (4):
y= 5(1) -4
y= 5 -4
y= 1
if f(x) = -8 + 2 then f^-1 (x) = HELP ASAP!!!
Answer:
[tex]f^{-1}(x)= - \frac{1}{8} x+\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]f(x) = -8x + 2[/tex]
[tex]y = -8x + 2[/tex]
[tex]y-2=-8x[/tex]
[tex]- \frac{1}{8} y+\frac{1}{4} =x[/tex]
[tex]- \frac{1}{8} x+\frac{1}{4} =y[/tex]
[tex]f^{-1}(x)= - \frac{1}{8} x+\frac{1}{4}[/tex]
A grocer wants to make a 10-pound mixture of peanuts and cashews that he can sell for $4.75 per pound. If peanuts cost $4.00 per pound and cashews cost $6.50 per pound, how many pounds of cashews should he use?
Answer:
3lbs
Step-by-step explanation:
p% of m as an expression
Answer:
m/100 or 1/100 M
Step-by-step explanation:
If we are trying to find the percent of a value, we divide by 100
WHO CAN HELP ME WITH MY ACCOUNTING HOMEWORK???
Duran Manufacturing uses a process costing system and manufactures its product in three departments. Which of the following is NOT a way in which Duran can use the cost per unit of each process?
A) Duran can look for ways to cut the costs when actual process costs are more than planned process costs.
B) Duran needs to set the selling price to cover the costs of making the product and provide a profit.
C) Duran can only use the cost per unit of each process if all units are fully completed at the end of the accounting period.
D) Duran needs to know the ending balances in the following accounts: Work-In-Process Inventory, Finished Goods Inventory, and Cost of Goods Sold.
Answer:
C) Duran can only use the cost per unit of each process if all units are fully completed at the end of the accounting period.
Step-by-step explanation:
Duran uses cost accounting technique to identify cost per unit for its products. The costing techniques allows us to identify the cost of unit that are not completely finished. It is not necessary that all unit must be completed in order to find out the cost per unit of the product. The process costing is the best method to identify cost per unit for products that are in process.
Which of the following functions is graphed below?
Answer:
C
Step-by-step explanation:
C is the solution
Answer:
Option C
Step-by-step explanation:
The graph is a horizontal translation 4 units left and a vertical translation 2 units down ⇒ y= |x+4|-2
find the value of x if (1.1)^x=100
Answer:
x ≈ 48.3177
Step-by-step explanation:
This is what logarithms are for (among other things).
log(1.1^x) = log(100)
x·log(1.1) = 2
x = 2/log(1.1) ≈ 48.3177
. A box contains four red, three yellow, and seven green balls. Three balls are randomly selected from the box without replacement. (a) What is the probability that all three balls are the same colo
Answer:
10/91
Step-by-step explanation:
Number of Red balls = 4
Number of Yellow balls = 3
Number of green balls=7
Total=4+3+7=14
If we pick three balls of the same color, there are three possibilities: (All Red, All Green Or all Yellow).
Therefore:
The probability that all three balls are the same color (note that the selections are without replacement)
=P(RRR)+P(GGG)+P(YYY)
[tex]=(\frac{4}{14} \times \frac{3}{13} \times \frac{2}{12})+(\frac{3}{14} \times \frac{2}{13} \times \frac{1}{12})+(\frac{7}{14} \times \frac{6}{13} \times \frac{5}{12})\\\\=\frac{1}{91} + \frac{1}{364}+ \frac{5}{52}\\\\=\frac{10}{91}[/tex]
The probability that all three balls are the same color is 10/91.
For the rational function f(x)=x-2/3x^2+x-2, fill in the points on the graph at the function value f(x)=2.
Answer:
(-2/3, 2), (1/2, 2)
Step-by-step explanation:
A graphing calculator can show you those points: (-2/3, 2), (1/2, 2).
__
Put the given value in the equation and solve for x.
2 = f(x)
2 = (x -2)/(3x^2 +x -2)
2(3x^2 +x -2) -(x -2) = 0 . . . . . multiply by the denominator; put in standard form
6x^2 +x -2 = 0 . . . . . collect terms
(3x +2)(2x -1) = 0 . . . factor
Solutions are values of x that make the factors zero:
x = -2/3, x = 1/2
Then the points on the graph are (-2/3, 2) and (1/2, 2).
PLSS GUYS I NEED HELP
Answer:
Option B. is the right choice.
Step-by-step explanation:
f(-3) = 3 and f(3) = 5 (First and the last column of table B)
Best Regards!
Give the three-letter name of each of the angles in the drawing below. Lines and Angles a. ∠1 b. ∠2 c. ∠3 d. ∠4
Answer:
a. AEB
b. BEC
c. CED
d. AED
Step-by-step explanation:
Each angle is made up of three points. All three points in order is the name of the angle.
Answer:
a. ∠1 = ∠AEB or ∠BEA
b. ∠2 = ∠BEC or ∠CEB
c. ∠3 = ∠CED or ∠DEC
d. ∠4 = ∠DEA or ∠AED
Step-by-step explanation: Penn <3
Write an equation of the line with the given slope, m, and y-intercept (0, b). m = 4 , b = 9
Answer:
y = 4x + 9
Step-by-step explanation:
You can use these numbers to create an equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
y = mx + b
y = 4x + 9
Kira looked through online census information to determine the average number of people living in the homes in her city. What is true about Kira’s data collection?
Kira used an observational study where the data is qualitative.
Kira used an observational study where the data is quantitative.
Kira used published data that is qualitative.
Kira used published data that is quantitative.
The published data refers to the government census info being published online. She did not do an observational study because she didn't go to each household herself (rather let the census workers do that task).
The data is quantitative because she is looking at the number of people living in homes in her city. Quantitative data is simply dealing with quantities or numbers. Contrast this with qualitative data that talks about something like color choice.
Answer:
D: Kira used published data that is quantitative.
Step-by-step explanation:
edg2020
Quantitative means regarding numbers and facts. How many people live in homes in her city is a factual number that is quantitative data. What color shirt they are all wearing is qualitative.. Its not an observational study at all either, so A and B are false
given that f(x)=x^-1, g(x)=2x+8 find (g-f)(10)
Hey there! :)
Answer:
(g-f)(10) = 279/10.
Step-by-step explanation:
Given:
[tex]f(x) = x^{-1}[/tex]
and
[tex]g(x) = 2x + 8[/tex]
Begin by solving for (g-f) by subtracting f(x) from g(x):
[tex](g-f)(x) = 2x + 8 - x^{-1}[/tex]
Substitute in 10 for x in the equation to solve this problem:
[tex](g-f)(10) = 2(10) + 8 - 10^{-1}[/tex]
Simplify:
[tex](g-f)(10) = 20 + 8 - \frac{1}{10}[/tex]
Create a common denominator to simplify further:
[tex](g-f)(10) = \frac{200}{10}+ \frac{80}{10} - \frac{1}{10}[/tex]
[tex](g-f)(10) = \frac{279}{10}[/tex]
Therefore:
(g-f)(10) = 279/10.
After one round in a card game, your score was -50 points. After the second round, your score was 29 points. How many points did you gain in the second game?
Answer:
79
Step-by-step explanation:
[tex]score = 29 - (-50)[/tex]
Expressed as: The score is the difference between 29 and -50.
Simplify:
[tex]score = 29 + 50[/tex]
Result:
[tex]score = 79[/tex]
Feel free to ask questions, and don't forget to mark as Brainliest if this helped.
A ball is thrown upward off of a 100 meter cliff with an initial velocity of 6 m/s. The function f(x)=-5x2+6x+100 (graphed below) represents this situation where x is time and y is the distance off of the ground. will mart brainliest yeah
Answer:
a) The domain of the function is [tex]x \geq 0\,s[/tex] [tex]\wedge[/tex] [tex]x \leq 5.112\,s[/tex]. [tex][0\,s, 5.112\,s][/tex], [tex]\forall x \in \mathbb{R}[/tex], b) The range of the function is [tex]0\,m \leq y \leq 100\,m[/tex]. [tex][0\,m,100\,m][/tex], [tex]\forall y\in \mathbb{R}[/tex], c) The ball is 73 meters off of the ground at x = 3 seconds.
Step-by-step explanation:
The complete statement is: A ball is thrown upward off of a 100 meter cliff with an initial velocity of 6 m/s. The function [tex]f(x) = -5\cdot x^{2} + 6\cdot x + 100[/tex] represents this situation where x is time and y is the distance off of the ground.
a) What domain does the function make sense?
b) What range does the function make sense ?
c) How far off the ground is the ball at time x = 3 seconds?
a) Let [tex]x[/tex] and [tex]f(x)[/tex] be the time, measured in seconds, and the distance of the ground, measured in meters, respectively. Time is a positive variable, so domain corresponds to the interval when [tex]f(x) \geq 0[/tex] and [tex]t \geq 0[/tex]. That is:
[tex]-5\cdot x^{2} + 6\cdot x + 100 \geq 0[/tex]
[tex]-(x-5.112\,s)\cdot (x+3.912\,s) \geq 0[/tex]
Therefore, the domain of the function is [tex]x \geq 0\,s[/tex] [tex]\wedge[/tex] [tex]x \leq 5.112\,s[/tex]. [tex][0\,s, 5.112\,s][/tex], [tex]\forall x \in \mathbb{R}[/tex]
b) The distance off of the ground is also a positive variable, where ball is thrown upward at a height of 100 meters and hits the ground at a height of 0 meters. Hence, the range of the function is [tex]0\,m \leq y \leq 100\,m[/tex]. [tex][0\,m,100\,m][/tex], [tex]\forall y\in \mathbb{R}[/tex]
c) The distance of the ball off of the ground at x = 3 seconds is found by evaluating the function:
[tex]f(3\,s) = -5\cdot (3\,s)^{2} + 6\cdot (3\,s) + 100[/tex]
[tex]f(3\,s) = 73\,m[/tex]
The ball is 73 meters off of the ground at x = 3 seconds.
Jason has bought a new pool and has already measured some of the sides. Using the figure below and your knowledge of quadrilaterals, solve for x and y.
Answer:
x = 12
y = 12
Step-by-step explanation:
Each triangle is a right angle triangle
5² + x² = 13²
x² = 169 - 25
x = √144
x = 12
The shape is a parallelogram
Therefore
x = y
y = 12
pls help me help me
Answer:
A
Step-by-step explanation:
Pablo purchased adult and youth tickets for the football game. He bought x adult tickets for $74 each and y youth tickets for $35. Write an expression that can be used to show the total cost, C, of all tickets.
Answer:
74x + 35y = c
Step-by-step explanation:
Each adult ticket costs $74 and Pablo is purchasing x amount of tickets, so 74 multiplied by x would be the total cost for the adult tickets. Each youth ticket costs $35 and Pablo is puchasing y amount of tickets, so 35 multiplied by y would be the total cost for youth tickets. Then you add the two sums together to find the total cost of all of the tickets.
Answer:
d. C = 74x + 35y
Step-by-step explanation:
I took the test and got the answer right here is the screen shoot to prove it
How to find the sides and angle of these two problems
Answer:
See step-by-step explanation.
Step-by-step explanation:
Part 1: Use the law of cosines to find the measure of angle B:
Law of cosines: c^2 = a2 + b2 − 2ab cos(C)
In this case, you're finding b, so b is basically c.
b^2 = a2 + c2 − 2ab cos(b)
b=21 a=22 c=16 (just for now)
21^2 = 22^2+16^2- 2(22)(16) cos (b)
441= 484 + 256 - 704 cos(b)
Measure of angle B= 64.8673
Part 2: Use the law of sines to find the measure of angle C
[tex]\frac{a}{sin (A)}[/tex] =[tex]\frac{b}{sin (B)}[/tex]=[tex]\frac{c}{sin(C)}[/tex]
Using angle b and sides b and c: 43.6121
21/ sin ( 64.8673) = 16/ sin(C)
Measure of angle C = 43.6121
Part 3: Find the measure of angle A
1. The angles in a triangle add up 180.
m<A+m<B+m<C=180
m<A+64.8673 + 43.6121 =180
Measure of angle A=71.5206
Page 2
Part 1: Find the measure of angle B
The angles in a triangle add up 180.
m<A+m<B+m<C=180.
42+ m<B+83=180
Measure of angle B= 55 degrees
Part 2: Use the law of sines to find the length of side a
[tex]\frac{a}{sin (A)}[/tex] =[tex]\frac{b}{sin (B)}[/tex]=[tex]\frac{c}{sin(C)}[/tex]
Length of side a = [tex]\frac{b sin(A)}{sin (B)}[/tex] =[tex]\frac{175 sin(42)}{sin (55)}[/tex]
The length of side a: 142.95
Part 3: Use any method to find the length of side c.
Method= brainpower
aka law of sines:
[tex]c=\frac{a sin (C)}{sin A}[/tex] = [tex]\frac{142.95sin(83)}{sin(42)}[/tex]
c= 212.043
The length of side c: 212.043
A 20-kilogram mass is attached to a spring. If the frequency of simple harmonic motion is 2/p cycles/s, what is the spring constant k? What is the frequency of simple harmonic motion if the original mass is replaced with an 80-kilogram mass?
Step-by-step explanation:
Frequency of a mass-spring system is:
f = √(k/m) / (2π)
Given f = 2/π Hz and m = 20 kg:
2/π Hz = √(k / 20 kg) / (2π)
4 Hz = √(k / 20 kg)
16 s⁻² = k / 20 kg
k = 320 kg/s²
k = 320 N/m
If the 20 kg mass is replaced with an 80 kg mass, the frequency is:
f = √(320 kg/s² / 80 kg) / (2π)
f = √(4 s⁻²) / (2π)
f = 2 Hz / (2π)
f = 1/π Hz
The sprint constant is 320 N/m
And, the frequency is [tex]1\div \pi Hz[/tex]
Calculation of the spring constant & the frequency:Since A 20-kilogram mass is attached to a spring. And, the frequency of simple harmonic motion is 2/p cycles/s.
Now we know that
[tex]f = \sqrt (k\div m) \div (2\pi)[/tex]
Here
[tex]f = 2\div \pi Hz[/tex]
and m = 20 kg:
So,
[tex]2\div \pi Hz = \sqrt (k \div 20 kg) / (2\pi)\\\\4 Hz = \sqrt(k \div 20 kg)\\\\16 s^{-2} = k \div 20 kg[/tex]
k = 320 kg/s²
k = 320 N/m
Now the frequency is:
[tex]f = \sqrt(320 kg/s^2 \div 80 kg) \div (2\pi)\\\\f = √(4 s^{-2}) \div (2\pi )\\\\f = 2 Hz \div (2\pi)[/tex]
[tex]f = 1\div \pi Hz[/tex]
Learn more about mass here: https://brainly.com/question/20897998
Grandpa and Grandma are treating their family to the movies. Matinee tickets cost $4 per child and $4 per adult. Evening tickets cost $6 per child and $8 per adult. They plan on spending no more than $80 on the matinee tickets and no more than $100 on the evening tickets.
Complete Question
Grandpa and Grandma are treating their family to the movies. Matinee tickets cost $4 per child and $4 per adult. Evening tickets cost $6 per child and $8 per adult. They plan on spending no more than $80 on the matinee tickets and no more than $100 on the evening tickets. Could they take 9 children and 4 adults to both shows? Show your work. A yes or no answer is not sufficient for credit.
Answer:
Yes it is possible to take the 9 children and 4 adults to both shows
Step-by-step explanation:
From the question we are told that
The cost of the Matinee tickets for a child is z = $4
The cost of the Matinee tickets for an adult is a = $ 4
The cost of the Evening tickets for a child is k = $6
The cost of the Evening tickets for an adult is b = $8
The maximum amount to be spent on Matinee tickets is m = $80
The maximum amount to be spent on Evening tickets is e = $100
The number of child to be taken to the movies is n = 9
The number of adults to be taken to the movies is j = 4
Now the total amount of money that would be spent on Matinee tickets is mathematically evaluated as
[tex]t = 4 n + 4 j[/tex]
substituting values
[tex]t = 4 * 9 + 4* 4[/tex]
[tex]t = 52[/tex]
Now the total amount of money that would be spent on Evening ticket is mathematically evaluated as
[tex]T = 6n + 8j[/tex]
substituting values
[tex]T = 6(9) + 8(4)[/tex]
[tex]T = 86[/tex]
This implies that it is possible to take 9 children and 4 adults to both shows
given that
[tex]t \le m[/tex]
i.e $56 [tex]\le[/tex]$ 80
and
[tex]T \le e[/tex]
i.e $ 86 [tex]\le[/tex] $ 100
There is a safety fence around a circular pool with a gate. The gate is 150 cm wide. What is the length of the fence not including the gate? m Use π = 3.14
Answer:
The length of the fence is 6.28x-150 cm.
Step-by-step explanation:
Let the circular pool has the radius (r ) = x cm.
Since the pool is in a circular shape so the circumference will be the length of the fence. Moreover, there is a 150cm wide so we have to subtract the 150 cm from the value of circumference in order to get the actual length of the fence.
Length of fence = Circumference of the pool – width of the gate.
Length of fence = 2 π r – 150
Length of fence = 2 × 3.14 × x – 150
Length of fence = 6.28x – 150 cm.
The sum of two independent uniformly distributed random variables over [0,1] is another uniformly distributed random variable over [0,1].
A. True
B. False
Answer:
B. False
Step-by-step explanation:
the sum will be within [0,2].
Take for example the independent random values 0.8 and 0.7.
They add up to 1.5, which is outside [0,1]. That's why the statement cannot be true.