13. an appliance store is offering a special price on a complete set of kitchen appliances (refrigerator, oven, stove, dishwasher). a purchaser is offered a choice of manufacturer for each component: refrigerator: kenmore, ge, lg, whirlpool oven: kitchenaid, samsung, frigidaire, kenmore stove: electrolux, hotpoint, ge dishwasher: bosch, silhouette, premier, whirlpool use the product rules to answer the following questions: a. in how many ways can one appliance of each type be selected? b. in how many ways can appliances be selected if none is to be kenmore? c. if someone randomly chooses their appliances, what is the probability that at least one kenmore component is chosen?
Answers
There are 192 ways of choosing an appliance from each category and 108 ways that it is not Kenmore. So the probability of choosing at least one is Kenmore will be 0.4375.
Store is selling refrigerator, oven, stove and dishwasher. Number of choices of manufacturers in each category is as follows,
Refrigerator - 4
Oven - 4
Stove - 3
Dishwasher = 4
a. Ways of choosing one appliance from each group = 4× 4× 3× 4 = 192
Refrigerator and oven have Kenmore as an option. So choices other than Kenmore in each category is 3.
b. Ways of choosing is none of the appliance is not Kenmore = 3× 3× 3× 4 = 108
c. Probability of not choosing a Kenmore component is = 108/192 = 0.5626
Probability of choosing at least one Kenmore component = 1- P(Kenmore)= 1 - 0.5625 = 0.4375
So probability = 0.4375
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Related Questions
Tony is saving money to buy a game. So far he has saved S18, which is two-thirds of the total cost of the game. How much does the game cost
Answers
A bank advertises a 2/1 arm at 2.75% with a 2/10 cap. what is the maximum interest rate that can be charged during the fifth year? a. 2.75% b. 4.75% 6c. 75% d. 8.75%
Answers
The maximum interest rate that can be charged during the fifth year is 6.75%. The correct option is the third option c. 6.75%
Calculating the maximum interest rate that can be chargedFrom the question, we are to determine the maximum interest rate that can be charged during the fifth year
A 2/1 ARM means that the interest rate is fixed for the first two years and then adjusts annually based on a specified index plus a margin. The "2/10 cap" means that the interest rate can only increase or decrease by a maximum of 2 percentage points each year, and can never be more than 10 percentage points higher than the initial rate.
Since the initial rate is 2.75%, the maximum rate that can be charged during the fifth year is:
2.75% + (2 x 2%) = 6.75%
Hence, the maximum interest rate that can be charged during the fifth year is 6.75%.
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Question 7
It is given that a = (-3, m) and b = (4,3). If the angle between vector a and b is an
obtuse angle, what is true for the value of m?
A) m<4
B) m<4 and doesn’t equal -9/4
C) m>4
D) m doesn’t equal 4 and m > -9/4
Answers
After answering the given query, we can state that We know that equation (-12 + 3m) must be negative because cos 0, which means that 3m 12 or m 4. As a result, choice A) m 4 is correct.
What is equation?The equals sign (=) is used in mathematical equations to denote equality between two assertions. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in mathematics. For instance, the equal sign places a space between the integers in the equation 3x + 5 = 14. The relationship between the two lines on either side of a character can be expressed mathematically. Frequently, the logo and the specific component of software are the same. such as, for example, 2x - 4 = 2.
Between two vectors a and b, the dot product is
A = B given by |a| |b| cos
where is the angle between the vectors a and b, and |a| and |b| are their relative magnitudes. We are aware that cos 0 because we are aware that the angle between vectors a and b is acute
a · b = (-3)(4) + m(3) = -12 + 3m
The size of the vector an is:
|a| = √((-3)^2 + m^2) = √(9 + m^2)
The strength of the vector b is:
|b| = √(4^2 + 3^2) = 5
We can now determine the cos using the dot product formula:
cos = (a b) / (|a | |b|) = (-12 + 3m) / (5 (9 + m2)
We know that (-12 + 3m) must be negative because cos 0, which means that 3m 12 or m 4.
As a result, choice A) m 4 is correct.
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round your answer to the nearest hundreth
Answers
Answer:
201.06 sq. ft.
Step-by-step explanation:
Area of a circle is found by using the equation:
\(A = \pi r^{2}\)
Radius = 1/2 (diameter) = 1/2 (16) = 8
So plug in:
\(A = \pi (8)^{2}\)
A = 64\(\pi\)
A = 201.06193
Rounded A= 201. 06
The volume of a sphere is 113.1 cm3; find the diameter of the sphere.
Answers
Answer:
del
Step-by-step explanation:
d
To qualify for Gold status at Awesome Airlines, one must fly at least 14400 and less than 22800 miles each year. If Lance takes a 600-mile round -trip flight to visit his parents, how many times does Lance need to visit his parents each year to attain Gold status?
Answers
To determine how many times Lance needs to visit his parents each year to attain Gold status, we need to find the number of round trips he can make within the required mileage range.
Given that Lance needs to fly at least 14,400 miles and less than 22,800 miles each year, we can calculate the maximum and minimum number of round trips he can take.
Maximum round trips: 22,800 miles / 600 miles = 38 round trips
Minimum round trips: 14,400 miles / 600 miles = 24 round trips
Therefore, Lance needs to visit his parents between 24 and 38 times each year to attain Gold status at Awesome Airlines.
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This table represents a quadratic function with a vertex at (1, 0). What is the
average rate of change for the interval from x= 5 to x = 6?
A 9
OB. 5
C. 7
D. 25
X
-
2
3
4
5
0
4
9
16
P
Answers
Answer: 9
Step-by-step explanation:
Answer:To find the average rate of change for the interval from x = 5 to x = 6, we need to calculate the change in the function values over that interval and divide it by the change in x.
Given the points (5, 0) and (6, 4), we can calculate the change in the function values:
Change in y = 4 - 0 = 4
Change in x = 6 - 5 = 1
Average rate of change = Change in y / Change in x = 4 / 1 = 4
Therefore, the correct answer is 4. None of the given options (A, B, C, or D) match the correct answer.
Step-by-step explanation:
Consider y=h(θ) described in the table. When comparing h(θ) to the parent function f(θ)=cos(θ), which statements are true? Select all that apply.
Answers
2 Answers:
Choice AChoice E=====================================================
Explanation:
Let's go through the answer choices
---------------------------------
A)
The lowest point is y = 1, and the highest point is y = 27. Computing the midpoint gets us (yMin+yMax)/2 = (1+27)/2 = 28/2 = 14.
The midline of \(h(\theta)\) is y = 14.
Consider that the parent function \(\cos(\theta)\) has a midline of y = 0. The jump from y = 0 to y = 14 must mean \(h(\theta)\) has a vertical shift of 14.
Choice A is true
---------------------------------
B)
The period is the length of the cycle. For the function \(h(\theta)\), the function starts at \(\theta = 0\) and repeats when it gets to \(\theta = \frac{\pi}{2}\). This is a difference of pi/2 units which is the period.
Choice B is false. It contradicts with choice E.
---------------------------------
C)
Choice C is false. The max for \(h(\theta)\) is at y = 27
---------------------------------
D)
To figure out the amplitude, we can note the vertical distance from the midline y = 14 to the max is 27-14 = 13 units.
Or we can note the distance from the midline to the min is 14-1 = 13 units.
Or we subtract the min and max, and divide by 2: (yMax-yMin)/2 = (27-1)/2 = 26/2 = 13
Either way, the amplitude is 13 units
Choice D is false.
---------------------------------
E)
Choice E is true. Refer to choice B to see why this is the case.
---------------------------------
Side note: one possible function is \(h(\theta) = 13\cos(4\theta+\pi) + 14\). The various pieces of that function (in)directly lead to the amplitude, period, and vertical shift.
The correct two options are h(Ф) has vertical shift of 14 and Choice E
The period of a fuction is x/2
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Let's go through the answer choices
A)
The lowest point is y = 1, and the highest point is y = 27. Computing the midpoint gets us (yMin+yMax)/2 = (1+27)/2 = 28/2 = 14.
The midline of is y = 14.
Consider that the parent function has a midline of y = 0. The jump from y = 0 to y = 14 must mean has a vertical shift of 14.
Choice A is true
B)
The period is the length of the cycle. For the function , the function starts at and repeats when it gets to . This is a difference of pi/2 units which is the period.
Choice B is false. It contradicts with choice E.
C)
Choice C is false. The max for is at y = 27
D)
To figure out the amplitude, we can note the vertical distance from the midline y = 14 to the max is 27-14 = 13 units.
Or we can note the distance from the midline to the min is 14-1 = 13 units.
Or we subtract the min and max, and divide by 2: (yMax-yMin)/2 = (27-1)/2 = 26/2 = 13
Either way, the amplitude is 13 units
Choice D is false.
E)
Choice E is true. Refer to choice B to see why this is the case.
Side note: one possible function is h(Ф) = 13 Cos(4Ф + π) + 14 . The various pieces of that function (in)directly lead to the amplitude, period, and vertical shift.
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Find the length segment AB if A(-1,7) and B(11,-1) (Round to 1 decimal place)
Answers
whta 250 divided by 10
Answers
Answer:
the answer would be 25
Step-by-step explanation:
10 goes in to 250 25 times
The correct answer for the value of division of 250 by 10 is 25.
What is Division?
Division involves splitting a number or quantity into equal parts or groups. it is a mathematical operation.
When the division of one number (the dividend) by another number (the divisor) is performed, the results determined how many times the divisor can fit into the dividend.
quotient is the result of division.
Signs that used to indicate division are ÷ and /.
In the given question \(250\) is divided by \(10\) , which is expressed as \(250\) ÷ \(10\)
or \(\dfrac{250}{10}\).
\(\dfrac{250}{10} = 25\).
The Quotient for the division of 250 divide by 10 is 25.
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What equation could be written for this table?
Answers
Answer:
y = 3 + 1/2 * x
Step-by-step explanation:
Find the given elements of matrix D:
Answers
Answer:
Step-by-step explanation:
D11 => (-2)-(-2) = 0
D12 => (-4)-(-2)=-2
D13=>(2)-(-2) = 4
D21 => (0)-(4) = -4
D22 => (6)-(4) = 2
D23 => (4)-(4) = 0
Sabia and arlan bougth 45 book for r 30 each old all ok them at the rote of 24 find the different the money pent and return
Answers
If Sabia and Arlan bought 45 books for rs 30, then at the rate of rs 24, they can buy 34 books.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, Sabia and Arlan bought 45 books for rs 30, then at the rate of rs 24, how many books they can buy,
Rs 30 = 45 book
Rs 30 = 45
Rs 1 = 45 / 30
Rs 24 = 3/2 × 24
Rs 24 = 34 books
Thus, if Sabia and Arlan bought 45 books for rs 30, then at the rate of rs 24, they can buy 34 books.
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What is the formula to find P(A) for a series of simple events (ex: tossing a coin and selecting a number at the same time)
Answers
The probability of event A is P(A) = 1/4 or 0.25.
The formula to find P(A) for a series of simple events is:
P(A) = (number of outcomes that satisfy the event A) / (total number of possible outcomes)
For example, if you are tossing a coin and selecting a number at the same time, and event A is defined as getting a head and an even number, then:
- The number of outcomes that satisfy event A is 1 (getting a head and an even number, i.e., H2)
- The total number of possible outcomes is 4 (H1, H2, T1, T2)
- Therefore, the probability of event A is P(A) = 1/4 or 0.25.
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Find the slope of the line
Answers
Answer:
Slope is just what is y/x so y=4-3=1, X=3-(-2)=5, remember if you use point 1's y to minus point 2, for x you also need to use point 1's x to minus point 2's x. So it's 1/5
Answer:
Step-by-step explanation:
2) (0,3) ; (3, 2)
Slope = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
\(=\frac{2-3}{3-0}\\\\=\frac{-1}{3}\)
3)(-2, 1) (3,4)
Slope = \(\frac{4 -1}{3-[-2]}\)
\(=\frac{4-1}{3+2}\\\\=\frac{3}{5}\)
simplify the square root of 2 divided by 125
Answers
Answer:
20√2
Step-by-step explanation:
20√2 = 28.284...
the polygons in each pair are similar. find the scale factor of the smaller figure to the larger figure.
Answers
Answer:
Smaller factor/larger figure = 3/6 = ½
Step-by-step explanation:
Scale factor of similar figures is usually the ratio of one to the other.
In the diagram given, the scale factor is the length of any side of the smaller figure divided by the length of the corresponding side length of the bigger figure.
Length of smaller figure = 3
Corresponding length of larger figure = 6
Scale factor = smaller figure/larger figure = 3/6
Simplify
Scale factor = ½
If you invest $1000 in an account, what interest rate will be required to double your money in 10 years?
Answers
Answer:
10%
Step-by-step explanation:
Principal= $1000
Time= 10years
Simple Interest=1000 ( If we want to double the money, the interest will be the same as the principal)
Rate=r
SI =PRT/100
1000= 1000 x 10 x r /100
r=1000/100
r = 10%
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To determine the number of trout in a lake, a conservationist catches 120 trout, tags them and throws them back
into the lake. Later, 44 trout are caught; 11 of them are tagged. How many trout would the conservationist expect
to be in the lake?
Answers
Answer:350 Trouts
Step-by-step explanation:To determine the number of trouts the conservationist expect to be in the lake, you add 120+120 that equal to 240.Then you add 240+40 that equals to 284.Then you add 284+44 that equals to 328.Then you add 328+11 that equals to 339.Finally, you add 339+11 to get your answer:350.
A telephone pole is 24 feet tall. A 26 foot guy wire is used to stabilize the pole. How far from the base of the telephone pole should the end of the guy wire be set?
Answers
Step-by-step explanation:
Let,
the telephone pole be AB
the wire be AC
therefore AB=24
AC=26
By using Pythagora's theorem
(AC)² =(AB)² + (BC)²
(26)² =(24)² + (BC)²
676 = 576 + (BC)²
(BC)²= 676 - 576
(BC)²=100
BC =✓100
BC. =10
Therefore, the base of the telephone pole is set 10m far
HOPE IT HELP YOUAt 1pm, there were 530 visitors in the museum. At 8pm, there were 250. What
is the constant rate of change?
Answers
The work is below
(x-y)²-(x+y)² a)0 b)2y² c)-2y² d)-4xy e)-2(x+y)²
Answers
Answer:
D
Step-by-step explanation:
-4xy
will be your answer after factoring
Answer:
d
Step-by-step explanation:
Given
(x - y)² - (x + y)² ← expand both factors using FOIL
= x² - 2xy + y² - (x² + 2xy + y²) ← distribute by - 1
= x² - 2xy + y² - x² - 2xy - y² ← collect like terms
= - 4xy → d
The measures of two angles of a triangle are 36 degree and 75 degree . The length of the shortest side of a triangle is 10 cm . The length of longest side of the triangle is:?
Answers
You can text me if you don’t understand anything
Inorganic Solids include a.)Sand, Grit, & Minerals b.) Sand, Grease, & Organics 7/88 c). Grease, Grit, & Organic Solids d.) Organic materials from Plants, Animals, or Humans e). Both a & d
Answers
Inorganic solids found in wastewater treatment processes primarily consist of sand, grit, and minerals. These substances are of mineral origin and do not contain carbon-hydrogen (C-H) bonds. Organic materials, such as grease and organic solids derived from plants, animals, or humans, are not classified as inorganic solids. Proper identification and separation of inorganic solids are important in wastewater treatment to ensure effective treatment and disposal of these substances.
Inorganic solids are substances that do not contain carbon-hydrogen (C-H) bonds and are not derived from living organisms. They are typically minerals or non-living materials found in nature.
a) Sand, Grit, and Minerals: Sand and grit are examples of inorganic solids commonly found in wastewater treatment processes. They are mineral particles that may enter the wastewater from various sources, such as soil erosion or industrial discharges. Minerals, which encompass a wide range of elements and compounds, can also be present as inorganic solids in wastewater.
b) Sand, Grease, and Organics: Grease is a form of organic material derived from animals or plants and is not considered an inorganic solid. Therefore, option b is incorrect.
c) Grease, Grit, and Organic Solids: While grease and grit are mentioned in this option, the inclusion of organic solids makes it incorrect. Organic solids are derived from living organisms and contain carbon-hydrogen (C-H) bonds. Inorganic solids, by definition, do not contain C-H bonds. Therefore, option c is incorrect.
d) Organic materials from Plants, Animals, or Humans: Organic materials from plants, animals, or humans are considered organic solids and are not inorganic solids. Therefore, option d is incorrect.
e) Both a and d: This option is correct. Inorganic solids include sand, grit, and minerals (option a), as well as organic materials derived from plants, animals, or humans (option d). The presence of both mineral-based inorganic solids and organic materials in wastewater necessitates appropriate treatment methods to effectively remove and manage these substances.
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plssss help me it’s really important!!!
Answers
Answer:
B
Step-by-step explanation:
Since ∠ E = ∠ F then the triangle is isosceles and DF = DE, that is
6x = x + 2y ( subtract x from both sides )
5x = 2y ( subtract 2y from both sides )
5x - 2y = 0 → (1)
and perimeter = 29, that is
6x x + 2y + 5x - y = 29 , simplifying
12x + y = 29 → (2)
Multiply (2) by 2
24x + 2y = 58 → (3)
Add (1) and (3) term by term to eliminate y, that is
29x = 58 ( divide both sides by 29 )
x = 2
Substitute x = 2 into (2) and evaluate for y
12(2) + y = 29
24 + y = 29 ( subtract 24 from both sides )
y = 5
Thus
FE = 5x - y = 5(2) - 5 = 10 - 5 = 5 → B
Blink When two lights that are close together blink alternately, we "see" one light moving back and forth if the time between blinks is short. What is the longest interval of time between blinks that preserves the illusion of motion? Ask subjects to turn a knob that slows the blinking until they "see" two lights rather than one light moving. A report gives the results in the form "mean plus or minus the standard error of the mean."11 Data for 12 subjects are summarized as 251 ± 45 (in milliseconds).
Find the sample standard deviation sx for these measurements.
A hasty reader believes that the interval given in the report is a 95% confidence interval for the population mean. Find the actual confidence level for the given interval.
Answers
The sample standard deviation Sₓ for these measurements is 155.8846 and the actual confidence level for the given interval is unknown.
What is standard deviation?Standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.
Given that, a report gives the results in the form "mean plus or minus the standard error of the mean."11 Data for 12 subjects are summarized as 251 ± 45
SE = 45, x = 251, n = 12,
Confidence level =
SE = Sₓ/√n
Sₓ = 45 × √12
Sₓ = 155.8846
The confidence interval is calculated by using the formula,
x ± (t* × E),
The interval in the problem is (t* × E),
And, t* is unknown.
As a result, the provided interval is not a confidence interval.
Hence, the sample standard deviation Sₓ for these measurements is 155.8846 and the actual confidence level for the given interval is unknown.
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Write an equation of a line that is
parallel to y = 1/3x + 5 and goes
through (3,5)
A) y = -3x + 14
B) y = 1/3x + 4
C) y = 1/3x + 4/3
D) y = 3x + 1
E) y = 1/2x + 7/2
Answers
Answer:
Step-by-step explanation:
We'll look for an equation in the format y = mx + b where m is the slope and b the y-intercept. A characteristic of parallel lines is that they have the same slope. That means the same value of m for both equations.
The reference equation is y = 1/3x + 5, It has a slope of (1/3). This means the new line will also have a slope of (1/3), and so we can write:
y = (1/3)x + b
Any value of b will result in a parallel line to y = 1/3x + 5. But the new line comes with the requirement that it go through point (3,5). That's easily done if we choose the correct value for b, the y-intercept. We could graph the line to visually determine what value of b will make the line go through this point, or we can simply enter the given point in the above equation and solve for b:
y = (1/3)x + b (for point (3,5)
5 = (1/3)(3) + b
5 = 1 + b
b = 4
A b value of four will shift the line so that it intersects (3,5). See the attached graph.
A. X>0
B. xis all real numbers.
C. O sxs 5
D. -5 sxs 5
Answers
Answer:
B
Step-by-step explanation:
The domain of a function is all of the x values of a function. Since there seem to be no constraints on the values of x (we know this because the function is continuous and it goes on forever in both sides), the answer is B.
Answer:
B. All real numbers
Step-by-step explanation:
Hey there!
Well the domain is all the x-values in the graph and by looking at where the lines are going we can tell that the graph domain is all real numbers.
Hope this helps :)
In ΔFGH, m ∠ � = ( 5 � − 6 ) ∘ m∠F=(5x−6) ∘ , m ∠ � = ( 3 � + 16 ) ∘ m∠G=(3x+16) ∘ , and m ∠ � = ( � + 8 ) ∘ m∠H=(x+8) ∘ . Find m ∠ � . m∠H.
Answers
The requried measure of the angle H is m∠H = 26°.
Since the sum of the angles in a triangle is always 180 degrees, we can write:
m∠F + m∠G + m∠H = 180
Substituting the given values, we get:
(5x-6) + (3x+16) + (x+8) = 180
Simplifying and solving for x, we get:
9x + 18 = 180
9x = 162
x = 18
Now, we can use the value of x to find the measures of the angles:
m∠F = (5x-6)° = (5(18)-6)° = 84°
m∠G = (3x+16)° = (3(18)+16)° = 70°
m∠H = (x+8)° = (18+8)° = 26°
Therefore, m∠H = 180 - m∠F - m∠G = 180 - 84° - 70° = 26°
And m∠H = 26°.
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1. (5 pts) The (per hour) production function for bottles of coca-cola is q=1000K L
, where K is the number of machines and L is the number of machine supervisors. a. (2 pts) What is the RTS of the isoquant for production level q? [Use the following convention: K is expressed as a function of L b. (1 pt) Imagine the cost of operating capital is $40 per machine per hour, and labor wages are $20/ hour. What is the ratio of labor to capital cost? c. (2 pts) How much K and L should the company use to produce q units per hour at minimal cost (i.e. what is the expansion path of the firm)? What is the corresponding total cost function?
Answers
The RTS of the isoquant is 1000K, indicating the rate at which labor can be substituted for capital while maintaining constant production. The labor to capital cost ratio is 0.5. To minimize the cost of producing q units per hour, the specific value of q is needed to find the optimal combination of K and L along the expansion path, represented by the cost function C(K, L) = 40K + 20L.
The RTS (Rate of Technical Substitution) measures the rate at which one input can be substituted for another while keeping the production level constant. To determine the RTS, we need to calculate the derivative of the production function with respect to L, holding q constant.
Given the production function q = 1000KL, we can differentiate it with respect to L:
d(q)/d(L) = 1000K
Therefore, the RTS of the isoquant for production level q is 1000K.
The ratio of labor to capital cost can be calculated by dividing the labor cost by the capital cost.
Labor cost = $20/hour
Capital cost = $40/machine/hour
Ratio of labor to capital cost = Labor cost / Capital cost
= $20/hour / $40/machine/hour
= 0.5
The ratio of labor to capital cost is 0.5.
To find the combination of K and L that minimizes the cost of producing q units per hour, we need to set up the cost function and take its derivative with respect to both K and L.
Let C(K, L) be the total cost function.
The cost of capital is $40 per machine per hour, and the cost of labor is $20 per hour. Therefore, the total cost function can be expressed as:
C(K, L) = 40K + 20L
To produce q units per hour at minimal cost, we need to find the values of K and L that minimize the total cost function while satisfying the production constraint q = 1000KL.
The expansion path of the firm represents the combinations of K and L that minimize the cost at different production levels q.
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