Answer:
The probability that it contains no flaws=0.585
Step-by-step explanation:
Flaws in a carpet tend to occur randomly and independently at a rate of one every 270 square feet.
One = 270 ft²
8*14= 112 ft²
Probability of containing flaws
So if 270 ft² = 1
112 ft² = 112/270
112ft² = 0.415
The probability that it contains no flaws= 1- probability that it contains
The probability that it contains no flaws= 1-0.415
The probability that it contains no flaws=0.585
The graph of a sinusoidal function intersects its midline at (0,2) and then has a minimum point at (3,-6) Write the formula of the function, where x is entered in radians.
Answer:
f(x)=-8sin(pi/6x)+2
Step-by-step explanation:
The graph of a sinusoidal function intersects its midline at (0,2) and then has a minimum point at (3,-6) So, the function is f(x) = -8sin(pi/6x)+2.
What is the sinusoidal function?The sinusoidal function has the following form:
[tex]y = x_0 + A\: sin(w.x+\theta)[/tex]
Where:
A= Amplitude
w = Angular frequency
[tex]x_0[/tex] = Independent component of the midpoint value
[tex]\theta[/tex] = Phase angle
Amplitude is the absolute value of the difference between a dependent component of the midline and the absolute minimum
A = |-6 - 2|
A = 8
[tex]x_0[/tex] = 2
The angular frequency of the function is now determined by substituting all remaining variables and clearing it within the sinusoidal function
[tex]w.x + \theta = \pi / 6[/tex]
The sinusoidal function
f(x) = -8sin(pi/6x)+2
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When John mom went grocery shopping she bought 5 cans of corn for $1.00 each she bought 4 cases of water for $4.00 she also bought 4 pounds of meat for $2.00 per pound she paid with$30.00 how much change did she have?
Answer:
$1
Step-by-step explanation:
5 cans of corn -- 5 * $1 = $5
4 cases of water -- 4 * $4 = $16
4 pounds of meat -- 4 * $2 = $8
Paid with -- $30
Change required -- 30 - 8 - 16 - 5 = $1
John's mom will get $13 change back from the grocery shopkeeper.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given that,
5 cans of corn ⇒ $1.00/can
So cost 5 × 1 = $5
4 cases of water ⇒ $4.00 (remember not given "each")
So cost ⇒ $4
4 pounds of meat ⇒ $2.00 per pound
So cost 4 × 2 = $8
Now,
Total cost = 5 + 4 + 8 = $17
So,
Change = 30 - 17 = $13
Hence "John's mom will get $13 change back from the grocery shopkeeper".
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A sample of 100 production workers is obtained. The workers are classified by gender (male, female) and by age (under 20, 20−29, 30−39, and 40 or over). How many degrees of freedom are there?
Answer: 3
Step-by-step explanation:
Given: A sample of 100 production workers is obtained. The workers are classified by gender (male, female) and by age (under 20, 20−29, 30−39, and 40 or over).
Here,
Total classes as per gender: k = 2 (male female)
Total classes as per age : m = 4 (under 20, 20−29, 30−39, and 40 or over)
Now , the degree of freedom = (k-1) ( m-1)
= (2-1) (4-1)
= (1)(3)
= 3
Hence, there are 3 degree of freedom.
cost of fuel is 1.45/L how much would 60L cost
Answer:
multiply the cost by the total number of liters needed: $1.45/L *60L = $87
-3x + 2y = 8 Which of the following graphs represents the equation above?
Answer:
-3x + 2y = 8
Simplifying
-3x + 2y = 8
Solving
-3x + 2y = 8
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
-3x + 2y + -2y = 8 + -2y
Combine like terms: 2y + -2y = 0
-3x + 0 = 8 + -2y
-3x = 8 + -2y
Divide each side by '-3'.
x = -2.666666667 + 0.6666666667y
Simplifying
x = -2.666666667 + 0.6666666667y
Step-by-step explanation:
Answer:
All i know is that it's not X
Step-by-step explanation:
I got it wrong on edmentum :/
Please help me with this question, thanks.
Answer:
2.48×10^13 miles
Step-by-step explanation:
There are about (365.25 days)(86400 seconds/day) = 31,557,600 seconds in one year. There are 1609.344 meters in one mile. So, the conversion can be written as ...
(4.22 ly) (3×10^8 m/s) (3.15576×10^7 s/yr) / (1.609344×10^3 m/mi)
= 4.22×3×3.15576/1.609344×10^(8+7-3) mi
≈ 24.8×10^12 mi
4.22 light years is about 2.48×10^13 miles
find the exact value of cosine theta given that sin theta equals -12/13 and theta is in the quadrant three
Answer:
cos θ = -5/13
Step-by-step explanation:
sin θ = -12/13
Use Pythagorean identity.
sin²θ + cos²θ = 1
(-12/13)² + cos²θ = 1
144/169 + cos²θ = 1
cos²θ = 25/169
cos θ = ±5/13
θ is in the 3rd quadrant, so cos θ < 0.
cos θ = -5/13
Round 4.377 to the nearest hundredth
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Integer Part: 4
Fractional Part: 377
To round 4.377 to the nearest hundredth means to round the numbers so you only have two digits in the fractional part. Use the rule (B) "If the last digit in the fractional part of 4.377 is 5 or more and the second digit in the fractional part is less than 9, then add 1 to the second digit of the fractional part and remove the third digit." With 4.377, rule B applies and 4.377 rounded to the nearest hundredth is: 4.38
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
The area of floor and four walls of a room is 15m^2 and 32m^2 respectively. find the total surface area of the room
Surface area of the room:
area of ceiling + floor + the four walls
ceiling area = floor area
Total surface = 15 + 15 +32 = 62 m²
*need fast answer please * What are some numbers of pushups that Bucky will never do in any game ?
Answer:
{1, 2, 4, 5, 6, 8, 10, 11, 12, 14, 15, 16, 19, 20, 23, 24, 25, 27, 28, 29, 31, 32, 33, 35, 36, 37, 39, 40, 41, 43, 44, 47, 48, 51, 52, 55, 56, 59, 60, 64, 68, 72, 74, 76, 78, 80, 82, 86, 90, 94, 98}
Step-by-step explanation:
The total number of pushups Bucky does is the sum sequence of scores in the game. The values in that sequence depend on the order of the goal types.
For example, consider a 2-goal game. Possible sequences of scores are ...
3, 6 (9 pushups)
3, 10 (13 pushups)
7, 10 (17 pushups)
7, 14 (21 pushups)
You can see that for a 1- or 2-goal game, the number of pushups cannot be any of ... 1, 2, 4, 5, 6, 8, 10, 11, 12, 14, 15, 16.
The list above is all of the numbers less than 100 that are numbers of pushups Bucky will never do in any game in which the goal values are either 3 or 7.
__
Any game with 8 goals or more will have numbers of pushups more than 100.
Categorize the graph as linear increasing, linear decreasing, exponential
growth, or exponential decay.
Consider the function. f(x) = x2 + 3 Which answer pairs a possible domain restriction for f(x) and its corresponding impact on f–1(x)? f(x) domain: x ≥ 3 f–1(x) domain: x ≥ 3 f(x) domain: x ≥ 3 f–1(x) range: y ≥ 3 f(x) domain: x ≥ 0 f–1(x) domain: x ≥ 0 f(x) domain: x ≥ 0 f–1(x) range: y ≥ 0
Answer: D
f(x) domain: x ≥ 0
f–1(x) range: y ≥ 0
Step-by-step explanation:
Following are the calculation to the domain restriction:
Given:
[tex]f(x)=x^2+3\\\\f(x)\\\\f^{-1} (x)[/tex]
To Find:
domain restriction=?
Solution:
The domain is used as the function that is less than the function's domain of definition.Restricted domains are typically used to specify a one-to-one part of the function.[tex]\to f(x)\ domain: x \geq 0\\\\\to f^{-1}(x) \ range: y \geq 0[/tex]
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Explain education distinctly from socialization
Answer:
It is a transmission from formal to informal knowledge and skill from either a different or the same generation.
What is the probability that the average of four babies' weights will be within .6 pounds of the mean; will be between 8.4 and 9.6 pounds
Complete question:
Some sources report that the weights of full-term newborn babies in a certain town have a mean of 9 pounds and a standard deviation of 0.6 pounds and are normally distributed.
Answer: 0.7497
Step-by-step explanation:
Mean = 9
sd = 0.6
n = 4
P(4 babies will be between 8.4 and 9.6 pounds)
P(8.4 ≤ X ≤ 9.6)
Standard error of the sample (S. E) :
S. E = sd/√n
= 0.6 /√4
= 0.6/2
= 0.3
P(8.4 ≤ X ≤ 9.6)= ((P(8.4 - 9) / 0.3) ≤ X ≤ (9.6 - 9)/0.3)
P(8.4 ≤ X ≤ 9.6) = P(-2 ≤ X ≤ 2)
P(Z ≤ 2) - P(Z < - 2)
0.9772 - 0.2275 = 0.7497
The probability will be "0.7497".
Given:
Mean,
9Standard deviation,
0.6Number of babies,
4The standard error of sample will be:
→ [tex]S.E. = \frac{sd}{\sqrt{n} }[/tex]
[tex]= \frac{0.6}{\sqrt{4} }[/tex]
[tex]= \frac{0.6}{2}[/tex]
[tex]= 0.3[/tex]
hence,
→ P(4 babies will be between 8.4 - 9.6 pounds)
[tex]P(8.4 \leq X \leq 9.6) = (\frac{(8.4-9)}{0.3} \leq X \leq \frac{(9.6-9)}{0.3} )[/tex]
[tex]= P(-2 \leq X \leq 2)[/tex]
[tex]= P(Z \leq 2) - P(Z \leq -2)[/tex]
[tex]= 0.9772-0.2275[/tex]
[tex]= 0.7497[/tex]
Thus the above response is right.
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Integrated Potato Chips paid a $2 per share dividend yesterday. You expect the dividend to grow steadily at a rate of 4 percent per year. a. What is the expected dividend in each of the next 3 years? b. If the discount rate for the stock is 12 percent, at what price will the stock sell? c. What is the expected stock price 3 years from now? d. If you buy the stock and plan to hold it for 3 years, what payments will you receive? What is the present value of those payments? Compare your answer to (b).
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Dividend paid (D) = $2
Growth rate (g) = 4% per annum = 0.04
Expected Dividend in each of the next 3 years :
1st year : $2 * 1.04 = $2.08
2nd year : $2.08 * 1.04 = $2.16
3rd year: $2.16 * 1.04 = 2.2464 = $2.25
B) If the discount rate for the stock is 12 percent, at what price will the stock sell?
Discount rate (r) = 12% = 0.12
Price of stock = Dividend / (r - g)
Price of stock = 2 / (0.12 - 0.04)
Price = 2 / 0.08 = $25
c. What is the expected stock price 3 years from now?
(2.25 * 1.04) / 0.08
2.34 / 0.08 = $29.25
D) If you buy the stock and plan to hold it for 3 years, what payments will you receive? What is the present value of those payments?
Dividend to be received from year 1 to 3
2.08, 2.16, 2.25
Stock price in 3rd year = 29.25
Present value :
(29.25/1.12^3) + (2.25/1.12^3) + (2.16/1.12^2) + (2.08 / 1.12^1) = 26.00
For year 1 :
D = 2.08
Stock price = 2.16/0.08 = 27
Present value (PV) = (27/1.12) + (2.08/1.12) = 25.96
Year 2 :
D = 2.16
Stock price = 2.25/0.08 = 28.125
cashflow = (2.16 + 28.125) = 30.285
PV = (28.125/1.12^2) + (2.16/1.12^2) + (2.08/1.12^1) = 26.00
Year 3:
D = 2.25
STOCK PRICE = 29.25
Total Cashflow = (2.25 + 29.25) = 31.5
PV = (31.5/1.12^3) + (2.25/1.12^3) + (2.16/1.12^2) + (2.08/1.12^1) = $27.60
or simplicity, let X=M G = 1 I = 2 if you like decimals C = 3 + 0.75Y or if you prefer fractions C = 3 + 3/4Y the simple multiplier is equal to
Answer:
the simple multiplier is equal to 4
Step-by-step explanation:
Given that:
Y= C + I + G + (X - M)
the average expenditure Y must be equal to the totality of the output
If C = 3 + 0.75Y
here;
the marginal propensity consumed MPC = 0.75
Then,
Y = 3 + 0.75Y + 2 + 1
Y = 6+0.75 Y
Y - 0.75 Y = 6
0.25 Y = 6
Y = 6/0.25
Y = 24
However, the simple multiplier can be expressed as:
[tex]= \dfrac{1}{1-MPC}[/tex]
[tex]= \dfrac{1}{1-0.75}[/tex]
= [tex]\dfrac{1}{0.25}[/tex]
= 4
There are 4 more roses than daisies in the flower pot. There are 12 roses and daisies in the flower pot in all. How many daisies are there in the flower pot? Let d represent the number of daisies. Which equation represents this situation? A. 2(d+4)=12 B. 2d−4=12 C. 2d+4=12 D. d+4=12
Answer:
2d + 4 = 12
Step-by-step explanation:
d = # of daisies
d+4 = # of roses
The total number of flowers is 12, so:
d + d+4 = 12
2d + 4 = 12
Brooklyn is a waitress at a restaurant. Each day she works, Brooklyn will make a
guaranteed wage of $30, however the additional amount that Brooklyn earns from
tips depends on the number of tables she waits on that day. From past experience,
Brooklyn noticed that she will get about $9 in tips for each table she waits on. How
much would Brooklyn expect to earn in a day on which she waits on 17 tables? How
much would Brooklyn expect to make in a day when waiting on t tables?
Answer:
1. $183
2.30 + 9t
Step-by-step explanation:
Guaranteed wage =$30
Additional amount that Brooklyn earns from tips depends on the number of tables she waits on that day.
Each table Brooklyn waits on =$9
1. How much would Brooklyn expect to earn in a day on which she waits on 17 tables
Total wage= guaranteed wage + tips on each table
Total wage=$30 + $9x
Where x= number of tables Brooklyn waits on
If she waits on 17 tables
Total wage=$30 + $9x
=30 + 9(17)
=30+153
=183
Total wage=$183
2. How much would Brooklyn expect to make in a day when waiting on t tables?
Total wage=$30 + $9x
When x=t
Total wage= 30+9(t)
=30+9t
Total wage=30 + 9t
If 223x=78,find x. If 223x=78, find x
Answer:0.3273542601
Step-by-step explanation:
73÷223=0.3273542601
The ratio of people who walk to school to people ride the bus to school is 1:7. If there are 13 walkers, how many students ride the bus?
Answer: 91 students ride the bus
For this problem, you can set up a proportion where:
w = those who walk to school
r = those who ride the bus to school
[tex] \frac{w}{r} = \frac{w}{r} [/tex]
Then include the ratio (1:7) as a fraction (1/7) and the value that is known (13).
[tex] \frac{1}{7} = \frac{13}{x} [/tex]
Cross multiply (create an "x").
[tex]1 \times x = 7 \times 13[/tex]
[tex]x = 91[/tex]
I need the answer for this image
Answer:
14
Step-by-step explanation:
Divide the number of laps by the number of swimmers for one of the rows. I did 108/9. You can double check by doing a second row. I did it wrong the first time sorry. That’s why you double check
Answer:
12
Step-by-step explanation:
240/20 = 12
216/18 = 12
168/14 = 12
108/9 = 12
then:
the constant of proporcionality is:
12
please please help, question is in the picture
Answer:
29 years
Step-by-step explanation:
A = P (1 + r)^t
where A is the final amount,
P is the initial amount,
r is the annual interest rate,
and t is the number of years.
17,000 = 11,000 (1 + 0.015)^t
1.545 = 1.015^t
log 1.545 = t log 1.015
t ≈ 29
30 gram of salt is present in 600 gram of solution what is the concentration of the solution
Answer:
The value is [tex]\% c = 5\%[/tex]
Step-by-step explanation:
From the question we are told that
The mass of salt is [tex]m_s = 30 \ g[/tex]
The mass of the solution is [tex]m_S = 600 \ s[/tex]
Generally the concentration is mathematically represented as
[tex]\% c = \frac{30}{600} * 100[/tex]
[tex]\% c = 5\%[/tex]
Two boys earn money mowing lawns. Jacob mowed 12 lawns this week. He mowed 3 times as many lawns as Kevin mowed. In which equation does the box represent the number of lawns Kevin mowed?
Answer:
Kevin mowed 4 lawns.
Step-by-step explanation:
If you take 12, and divide it by 3, you get 4. Which is how many lawns Kevin mowed.
(I'm not sure about the boxes because there wasnt a picture, but good luck!)
Given: if A and B, then C. Given: the if-then statement reverse is also correct. Given A is false, B is false, what is c?
Conditional statements are statements that are either true or false, based on certain conditions.
The value of c is true
The condition is given as:
If A and B, then C
Where:
[tex]\mathbf{A = false}[/tex]
[tex]\mathbf{B = false}[/tex]
The reverse means that:
If not A and not B, then C
This means that:
[tex]\mathbf{not\ A = not\ false}[/tex]
[tex]\mathbf{not\ B = not\ false}[/tex]
So, we have:
[tex]\mathbf{not\ A = true}[/tex]
[tex]\mathbf{not\ B = true}[/tex]
For an and condition to be true, both values must be true.
So, we have:
If not A and not B, then C
Substitute known values
If true and true, then C
Because both values are true, then the value of C will also be true
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How we supposed to find the answer?
Answer:
5^6
Step-by-step explanation:
(5^3)^2
We know that a^b^c = a^(b*c)
5^(3*2)
5^6
Answer:
5⁶
Step-by-step explanation:
[tex]x^{a^{b} } =[/tex] xᵃᵇ
on this case:
[tex]5^{3^{2} }[/tex] = 5⁽³⁾⁽²⁾ = 5⁶
If f(x) = -x³ + x² + x, find f(-3).
Answer:
33
Step-by-step explanation:
Substitute f(-3) in the problem and you'll get f(-3) = -x³ + x² + x.
Substitute the given value into the function and evaluate.
Answer:
33.
Step-by-step explanation:
f(x) = -x³ + x² + x.
f(-3) = -(-3)³ + (-3)² + (-3)
= -(-27) + (9) - 3
= 27 + 9 - 3
= 36 - 3
= 33.
Hope this helps!
What is the remainder and quotient of 23 divided by 861
Answer:
37 r10
explanation
0 3 7
2 3 L 8 6 1
− 0
8 6
− 6 9
1 7 1
− 1 6 1
1 0
Planes A and B intersect.
Vertical plane B intersections horizontal plane A at line k. Line k contains points Y and Z. Line m intersects line n at point W.
Which describes the intersection of line m and line n?
point W
point X
point Y
point Z
Answer:
Point W
Step-by-step explanation:
Just trusssss me
The intersection of line m and line n is described by point W.
What is Intersecting lines?Intersecting lines are those lines that meet or cross each other in a plane. On the other hand, when two or more lines do not meet at any point, they are called non-intersecting lines.
When two or more lines meet at a common point, they are known as intersecting lines. The point at which they cross each other is known as the point of intersection. Observe the following figure which shows two intersecting lines 'a' and 'b' and the point of intersection 'O'.
As, given that
Line m intersects line n at point W.
So, where the line meets should be a intersecting point.
Hence, W is the intersecting point.
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(03.06 LC) What is the value of |−44|? Numerical Answers Expected! Answer for Blank 1:
Answer:
44
Step-by-step explanation:
For any real number x, if x > 0 then |x| = x, otherwise, if x < 0 then |x| = -x. In this case, x = -44 which is less than 0, therefore, |-44| = -(-44) = 44.
Answer:
It would be 44
Step-by-step explanation:
Because it takes 44 units to get to the positive number 44