The expressions that equal 36 is:
E) 53 − (2. 5 × 30) − 20
Calculation of Algebra ExpressionEvaluated the mathematical expressions in each response to see if they equal 36.
A. (14⋅32)2−28 = (448)² - 28 = 14⁴ - 28 = 2016 - 28 = 1988, not equal to 36.
B. 23 + (58−54)2 + 122 = 23 + (4)² + 12 = 23 + 16 + 12 = 51, not equal to 36.
C. 92 − (43 + 32) + 30050 = 9² - (7 + 3) + 30050 = 81 - 10 + 30050 = 30021, not equal to 36.
D. 124 + (82 − 42) − 99 = 124 + (64 - 16) - 99 = 124 + 48 - 99 = 73, not equal to 36.
Thus, only the expressions listed in my previous answer equal 36.
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what fraction of the square is shaded
The shaded fraction of the square is equal to option c. 1/4 or 2/8.
From the attached figure of the shaded square we have:
There are total eight congruent triangles in the interior region of the square.Out of eight triangles two of the triangles are the shaded one.Shaded fraction of the square is equal to
= ( number of shaded triangles)/ ( total number of triangles formed in the square)
= ( 2 ) / ( 8 )
Which is equivalent to
= 1 / 4
Option c. 1/4 or 2/8 represents the correct shaded fraction.
Therefore, the correct shaded fraction of the square is given by
Option c. 1/4 or 2/8.
The above question is incomplete , the complete question is:
What fraction of the square is shaded?
a. 3/4 or 1/8
b. 1/4 or 5/4
c. 1/4 or 2/8
d. 2/8 or 4/4
Figure is attached.
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building a new home in building new homes, a contractor finds that the probability of a home buyer selecting a two-car garage is and of selecting a one-car garage is . find the probability that the buyer will select no garage. the builder does not build houses with three-car or more garages.
If the builder does not build houses with three-car or more garages, then the probability that the buyer will select no garage home is 0.1.
Probability is a measure of likelihood that a certain event occurs. The probability of an event A is defined as:
P(A) = n(A)/n(S)
Where:
n(A) = number of ways the event A can occur
n(S) = number of all possible outcomes.
Suppose there are 3 possible outcomes, A, B, C, then:
P(S) = P(A) + P(B) + P(C) = 1
In the problem, let's define the events:
A = buyer will select a one-car garage
B = buyer will select a two-car garage
C = buyer will select no car garage
We have:
P(A) = 0.2
P(B) = 0.7
Hence,
P(A) + P(B) + P(C) = 1
0.2 + 0.7 + P(C) = 1
P(C) = 1 - 0.9 = 0.1
Therefore, the probability that the customer will choose no garage option is 0.1
Your question is incomplete, most likely it was:
In building new homes, a contractor finds that the probability of a home buyer selecting a two-car garage is 0.7 and of selecting a one-car garage is 0.2. Find the probability that the buyer will select no garage. the builder does not build houses with three-car or more garages
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ABC is an isosceles triangle of vertex A. D is the symmetric of A with respect to (BC) and E the symmetric of A with respect to B. 1) Prove that ACDB is a rhombus. 2") Prove that BCDE is a parallelogram.
i need help with question 1
also if they say, "D symmetric of Awith respect to (BC)" does it mean that Any point on BC or the midpoint of BC?
In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size. [Therefore proven] BD=BC.
How to find the Calculation?A parallelogram is a straightforward (non-self-intersecting) quadrilateral in Euclidean geometry that has two sets of parallel sides.
In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.
There are
As well as AB=AC, BC 2 = AC / CD.
B = C and BC = BC = AC
The notation AC BC equals BC CD, and B = C.
CA BC equals CB DC and B = C.
Thus, based on the similarity criterion of SAS, we have
△BCA∼△DCB
DC/ BC = CB /CA = DB/ BA
CB /CA = DB/ BA
CA/ BA = CB /DB
1 = CB / DB [BA=CA]
⇒ DB=CB
[Therefore proven] BD=BC.
The Complete Question.
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Find the surface area and volume of each shape
A three-dimensional form's surface area is made up of the combined area of all of its faces.
What is meant by surface area?The entire area of all the faces makes up the surface area of a three-dimensional form. We measure the area of each face and add them to determine the shape's surface area.
A 3D shape's volume is the interior area. An object's three-dimensional surface area is the sum of all of its faces. The formula Volume = length, width, and height is used to determine a cuboid's volume.
The volume of an object is the amount of three-dimensional space that the object or shape takes up.
A 3D object's surface area is the entire area that all of its faces cover. For instance, the surface area of a cube is its surface area if we need to determine how much paint is needed to paint it. It is consistently expressed in square units.
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Total surface area of given cuboid 126 ft², Total surface area of cube given 62.08 ft². Total volume of given cuboid 140 ft³ , Total Volume of given cube 62.20 ft³.
What does surface area mean?
A three-dimensional form's surface area is made up of the combined area of all of its faces. To calculate the surface area of the shape, we measure the areas of each face and add them.
Volume is the internal space of a 3D form. The total number of faces on an object determines its three-dimensional surface area. The volume of a cuboid can be calculated using the formula Volume = length, width, and height.
The quantity of three-dimensional space that an object or form occupies is known as its volume.
The total area that all of a 3D object's faces enclose is referred to as surface area. If we need to figure out how much, for example, the surface area of a cube is its surface area.
1. Total surface area of cuboid = 2(lb + bh + hl)
= 2(8×5 + 4×5 + 8×4)
= 2(92)
= 184 ft³
Total surface area of hollow cuboid = 2(1×5 + 4×5 + 1×4) = 58 ft³
Total surface area of given cuboid = 184 - 58 = 126 ft²
Volume of cuboid = l × b × h = 8 × 5 × 4 = 160 ft³
Volume of hollow cuboid = 1 × 4 × 5 = 20 ft³
Total volume of given cuboid = 160 - 20 = 140 ft³
2. Total surface area of cube = 6a² = 6 × 5 × 5 = 150 ft²
Total surface area of hollow cylinder = 2πr(r + h)
= 2 × 3.14 × 2 (2 + 5) = 87.92 ft²
Total surface area of cube given = 150 - 87.92 = 62.08 ft²
Volume of cube = a³ = 5³ = 125 ft³
Volume of hollow cylinder = 2πrh = 2 × 3.14 × 2 × 5 = 62.80 ft³
Total Volume of given cube = 125 - 62.80 = 62.20 ft³
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2.2. verity experimentally that the sum of opposite angles CDE and quadrilaterial CDEF is the right angles (two circles having radii at least 3cm necessary.
The statements that complete the proofs are; One half the measure of their intercepted arcs; mARC CDE = 2·m∠CFE and mARC CFE = 2·m∠CDE
How to find the measure of angles?The two column proof that ∠CFE and ∠CDE are supplementary is presented as follows;
Statement Reason
Quadrilateral CDEF is inscribed is circle A Given
m<CDE + m<CFE = 360° Measure of angle round a circle
∠CFE and ∠CDE are inscribed angles Given
∠CFE + ∠CDE = 1/2 × ( m<CDE + m<CFE ) Inscribed angles are (i) one half the measure of their intercepted arcs
2 × (∠CFE + ∠CDE) = (m<CDE + m<CFE )
So, (ii) = 2 × m∠CFE and = 2 × m∠CDE From the inscribed angle theorem above (See attached drawing)
2·m∠CFE + 2·m∠CDE = 360° Using substitution property of equality
(2·m∠CFE + 2·m∠CDE)/2 = 360°/2 → m∠CFE + m∠CDE) = 180° Dividing both sides by 2
m∠CFE and m∠CDE) are supplementary Angles that sum up to 180°
The statements that complete the proofs are;
(i) One half the measure of their intercepted arcs
(ii) mARC CDE = 2·m∠CFE and mARC CFE = 2·m∠CDE
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Complete question:
Quadrilateral CDEF is inscribed in circle A. Which statements complete the proof to show that ∠CFE and ∠CDE are supplementary?
Quadrilateral CDEF is inscribed in circle A, so mARC CDE + mARC CFE= 360°. ∠CFE and ∠CDE are inscribed angles, which means that their measures are _________________. So, _________________. Using the substitution property of equality, 2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°. Using the division property of equality, divide both sides of the equation by 2, resulting in m∠CFE + m∠CDE = 180°. Therefore, ∠CFE and ∠CDE are supplementary.
a furniture store has a sale during which the sale price of the sofa 1/3 off its original price the original price of the sofa is 1,029.00 , a customer can get an additional 5% off discount off the sale price for paying with cash , at checkout a 6.5% sales tax on the final price is added to the cost of the sofa . what is the total cost of the sofa , including sales tax , for a customer paying with cash ? .
In a case whereby a furniture store has a sale during which the sale price of the sofa 1/3 off its original price the original price of the sofa is 1,029.00 , a customer can get an additional 5% off discount , the total cost of the sofa , including sales tax , for a customer paying with cash is
How can the total cost of the sofa be calculated?The concept that will be used here is total cost calculation.
We can represent the original price as P
Then the sales price can be represented as 2/3P
Then incae the customer is paying with cash, he can be able to pay
2/3P (11- 0.05)
The total cost =2/3P (11- 0.05) (1+0.065)
=2/3* 1029 *0.95* 1.065
= $694.06
Therefore, option D is correct.
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missing options:
A.$343.00
B.$651.88
C.408.00
D.$694.06
The cost of a stereo cable has risen to $21 today. Yesterday's cost was $16 . Find the percentage increase. Round your answer to the nearest tenth of a percent.
Answer:
31.3%
Step-by-step explanation:
So today's % price at $21
Yesterday, the original 100% price was $16
Using a ratio
$16. 100%
------. =. --------
$21. x
Now we can cross multiply and divide
Cross multiplication gets you...
16x = 2100
Dividing both sides by 16 to get x alone
x = 2100/16
x = 131.25
Now to find the percent we subtract this from 100
131.25 - 100 = 31.25 which equals 31.3%
1) Suppose (a,b) is a multiple of (c,d) and abcd≠0. Show (a,c) is a multiple of (b,d). Using matrices, what does this tell us?2) What 2x2 matrix acts on (x,y) to produce (y,x)?
The 2x2 matrix that acts on (x,y) to produce (y,x) is the matrix:
[ 0 1 ]
[ 1 0 ]
Suppose (a,b) is a multiple of (c,d) and abcd ≠ 0, then there exists a scalar k such that (a,b) = k(c,d).
Then,
ac = kcd
and
ad = kbd
So,
(a,c) = (ac, ad) = (kcd, kbd) = k(cd, bd) = k(c,b)
Therefore, (a,c) is a multiple of (b,d).
Using matrices, this tells us that if two vectors (a,b) and (c,d) are proportional, then the transpose of either vector is proportional to the other.
The 2x2 matrix that acts on (x,y) to produce (y,x) is the matrix:
[ 0 1 ]
[ 1 0 ]
This is known as the transpose matrix and can be denoted as A^T.
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esteban has a big jar of change in his room. he has 600 coins total and 240 of them are pennies. what ppercentage of the coins ar epennies
40% of the coins are pennies. To calculate the percentage, divide the number of pennies by the total number of coins and multiply by 100:
(240 / 600) * 100 = 40.
Esteban has a container loaded up with a lot of coins in his room and he needs to understand which level of the coins are pennies. There are 600 coins altogether and 240 of them are pennies. To figure out the level of pennies, we really want to do a straightforward estimation. We partition the quantity of pennies by the all out number of coins and afterward increase the outcome by 100. The response we get is 40%, and that implies that 40 out of 100 coins picked haphazardly from the container would be pennies. At the end of the day, close to half of the coins in the container are pennies. This data can provide us with a smart thought of the conveyance of coins in the container.
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Steve needs to earn a B in his Sociology class. His current test scores are 80, 89, 78, and 77. His final exam is worth 4 test scores. In order to earn a B Steve's average must lie between 80 and 89 inclusive. What range of scores can Steve receive on the final exam to earn a B in the course? 180+80+78+77)
For Gail to receive a b in the course, her final exam score range must be between x = 79 and x = 84.
What is average?The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics. When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.Average By adding a collection of numbers, dividing by their count, and then summing the results, the arithmetic mean is determined. For instance, the sum of 2, 3, 3, 5, 7, and 10 is equal to 30 divided by 6, which equals 5.There would be a total of 10 examinations, including the ones listed, if the final exam was worth six test scores. The sum must be 800 in order to divide it by 10 to obtain the lowest average of 80, and it must be 830 in order to obtain the maximum average of 83. The following two equations are necessary in order to obtain the final exam scores that determine these averages:
84 + 76 + 83 + 83 + 6x = 800
and
84 + 76 + 83 + 83 + 6x = 830
So, in each equation, we can add like terms and get
326 + 6x = 800
and
326 + 6x = 830
6x = 474 and 6x = 504
x = 79 and x = 84.
The complete question is:
Gail needs to earn a b in her algebra class. Her current test scores are 84, 76, 83, and 83. Her final exam is worth 6 test scores . In order to get a b Gail average must lie between 80 and 83 inclusive. What range of scores can Gail receive on the final exam to earn a b in the course.
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The population of Adamsville grew from 8,000 to 12,000 in 7 years. Assuming uninhibited exponential growth, what is the expected population in an additional 4 years? The expected population is (Do not round until the final answer. Then round to the nearest whole number as needed.)
The expected population in an additional 4 years is 15,125.
The expected population can be found by using the formula for uninhibited exponential growth.
Uninhibited exponential growth is modeled by the formula
P(t) = P₀ * e^(rt)
where P₀ is the initial population, e is the base of natural logarithms (approximately equal to 2.718), r is the growth rate, and t is the time elapsed.
We can first find the growth rate by using the formula
r = (ln(P/P₀)) / t
where P is the final population and t is the time elapsed. In this case, P₀ = 8000, P = 12000, t = 7 years, so we have:
r = (ln(12000/8000)) / 7
= 0.4055 / 7
= 0.0579
Next, we can use this growth rate to predict the population in an additional 4 years. Let t' = t + 4, so we have:
P(t') = P₀ * e^(r * t')
= 8000 * e^(0.0579 * (7 + 4))
Using a calculator, we can find that P(t') ≈ 15,125.
So, the expected population in an additional 4 years is approximately 15,125.
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Solve the inequality then graph the solution
-4/3x<-8
The inequality of the graph of the solution -4/3x<-8 be 0 < x < 1/6.
What is meant by inequality?The two expressions that make up an equation or an inequality are connected in a mathematical statement. The equal sign (=) in an equation denotes the equality of the two expressions. The symbols >, <, ≤ or ≥ are used to denote an inequality, when the two expressions aren't always equal.
There are four fundamental types of inequality: less than, larger than, less than or equal to, and greater than or equal to.
A mathematical comparison of expressions is known as an inequality. The characters, >, <, ≤ or ≥ are present. In order to place the inequality sign in a sentence, check for the following terms.
Let the given inequality be -4/3x<-8
Rewrite in standard form
[tex]$\frac{-4+24 x}{x} < 0$$[/tex]
Factor [tex]$\frac{-4+24 x}{x}: \frac{4(6 x-1)}{x}$[/tex]
[tex]$\frac{4(6 x-1)}{x} < 0$$[/tex]
Divide both sides by 4, we get
[tex]$\frac{\frac{4(6 x-1)}{x}}{4} < \frac{0}{4}$$[/tex]
Simplifying the above equation, we get
(6x - 1)/x < 0
Therefore, the inequality of the graph be 0 < x < 1/6.
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determine 2 values of x that support your conclusion
The equation 2 + 3 = 3 + x has an infinite number of solutions.
How can we prove it ?A value of x that makes the equation true is -1, which when substituted into the equation and simplified makes the equation turn into 2 + 3 = 3 - 1 = 2.
Another value of x that makes the equation true is -4, which when substituted into the equation and simplified makes the equation turn into 2 + 3 = 3 - 4 = -1.
Therefore, the equation 2 + 3 = 3 + x has an infinite number of solutions.
What is quadratic equation ?A quadratic equation is a polynomial equation of degree 2, written in the form:
ax^2 + bx + c = 0
where a, b, and c are constants and x is an unknown variable. The equation can be solved to find the values of x that satisfy the equation, known as the roots or solutions. These solutions can be found using methods such as factoring, the quadratic formula, or completing the square.
Quadratic equations are commonly used in mathematics, science, and engineering to model and solve a wide range of real-world problems, such as modeling the trajectory of a projectile or finding the minimum or maximum value of a function.
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what values are stored in the list numlist?
The values stored in the list numlist are [0, 2, 4, 6, 8].
The list "numlist" is an array with 10 elements. The values stored in the list depend on the values of "i" as the for loop iterates from 0 to 9.
The "if" statement inside the loop checks if the value of "i" is even using the % operator which returns remainder, and if it is, the value of "i" is stored in the "numlist" at the corresponding index. Therefore, the values stored in the "numlist" would be 0, 2, 4, 6, 8, and the other elements would be left uninitialized.
--The question is incomplete, answering to the question below--
"what values are stored in the list numlist?
numberList() {
for(i = 0; i < 10; i++) {
if( i % 2 == 0) {
numlist[i] = i
}
}
}"
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i need the answer for this asap
From the given graph we can see that the graphical representation of the function has an open dot on -1. Hence, the function has no solution for f(-1).
What is graphing solutions?An open dot on a number line graph denotes that the given number cannot be a solution, whereas a solid dot on the graph suggests that the supplied number should be considered as a potential solution. For instance, if you graph x > 7, you would put an open dot there because that is not a correct response (7 is not greater than itself).
From the given graph we can see that the graphical representation of the function has an open dot on -1. Hence, the function has no solution for f(-1).
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consider the experiment of rolling two six-faced dice at the same time. what is the sample space of all the possible outcomes? what would be a simple graphical representation of such set ? hint: note that a single outcome consists of a pair of numbers (a,b).
The sample space of all the possible outcomes of rolling two six-faced dice is {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), . . ., (6,5), (6,6)}, and there are 36 possible outcomes in total.
Using the Fundamental Counting Principle, the possible outcomes can be determined.
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)
Rolling two six-sided dice: Each die has 6 equally likely outcomes, so the sample space is 6 • 6 or 36 equally likely outcomes.
A simple graphical representation of this set could be a shown in a table, where the top row is the possible outcomes of the first dice, the first column is the possible outcomes of the second dice, and the inner table is all the possible outcomes when these two dice are rolled at the same time.
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55*11+7x(2+14) math
Answer:
the answer is 717
Step-by-step explanation:
given
55*11+7*(2+14)
according to BODMAS
=55*11+7*16
=605+112
=717✔️
Twelve friends shovel snow from
8 identical driveways. If they
share the work evenly, what
part of a driveway does each
friend shovel?
Answer:
Each friend shovels 1/12 of 8 driveways, or 8/12 driveways = 2/3 of a driveway.
a contractor is adding 243 cy backfill. if each truck can hold 162 cf, how many truck loads are needed? (round up)
Approximately 41 truck loads are needed to hold it.
Given that,
A builder is 243 cy backfilling. assuming each truck has a 162 cubic feet capacity
To find : What number of truckloads are required?
The quantity of trucks required serves as an example of rates.
There are 42 trucks required.
How to calculate the quantity of trucks
The backfill's size is specified as follows: 243 CY
A vehicle may carry as much as 162 CF.
The required number of trucks is then determined as follows:
n = 243 / 162
Convert n = 243 * 27 /162 from CY to CF.
Fix n = 40.5.
n is approximately 41.
So, to hold it, roughly 41 truck loads are required.
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10. Match each graph with its equation.
a. y = (x+2)(x-1)²(x-2)
b. y=2(x+1)(x-1)
c. y=-2(x-1)(2x - 1)(x+1)
suppose that 5 cards are dealt from a 52-card deck and the first one is a king. what is the probability of at least one more king?
Let k denote the event that the card drawn is king. Then , p(k) = 5 / 52 is the probability as we have drawn 5 cards from 52 cards.
P( k1/k) is the probability of a second king with the condition that one king has already been drawn. Now there are 3 kings in (52−1)=51cards
P( k1/k) = 4 / 51
P( k2/k) is the probability of a third king with the condition that two kings have already been drawn. Now there are 2 kings in (52−2)=50cards
P( k2/k) = 3/50
P( k3/k) is the probability that three kings have already been drawn. Now there are 2 kings in (52−3)=49cards
P( k3/k) = 2/49
P( k4/k) is the probability that three kings have already been drawn.Now there are 2 kings in (52−4)=48cards.
P( k4/k) = 1 / 48
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The complete question is :
suppose that 5 cards are drawn from a 52-card deck and the first one is a king. what is the probability of at least one more king?
You want to study at the Hogwarts School of Witchcraft and Wizardry after five years. You need
800
800800 pieces of muggle-money to study there. You decide to deposit some pieces in the bank at an annual interest rate of
12
%
12%12, percent.
How many pieces should you deposit today if you want to use the total amount to pay the fees?
Answer:
454
Step-by-step explanation:
need 800 in 5 years
x*(1+12%)^5 = 800
so 1.76x=800
x=454
Keisha and Ryan walk around a track. Keisha walks each lap in 5 minutes. Ryan walks each lap in 7 minutes. The two of them begin at the starting line at the same time. They walk until the meet again at the starting line. Answer the following questions.
Answer:
See below
Step-by-step explanation:
Keisha walks faster than Ryan so she will lap Ryan as a way of catching up to him.
LCM of 7 and 5 is 35 which is the time taken to meet up again at the starting line
Thus she will have walked 7 laps and he will have walked 5
simplify the difference equation
[tex]\frac{f\left(4.5+h\right)-f\left(4.5\right)}{h}[/tex]
The result of the simplification of the difference equation is f.
Simplification of a difference equation using arithmetic operations.The simplification of the given expression is done by factoring the numerator, summing up the like terms, and dividing the value of the denominator from the numerator.
Given that:
[tex]\dfrac{f(4.5 + h) - f(4.5)}{h}[/tex]
Factor the numerator
[tex]\dfrac{f(4.5 + h) + f(-1 *4.5)}{h}[/tex]
Factor f out of f(4.5 + h) + f(1 *4.5)
[tex]\dfrac{f(4.5 + h-1*4.5) }{h}[/tex]
[tex]\dfrac{f(4.5 + h-4.5) }{h}[/tex]
[tex]\dfrac{f(h) }{h}[/tex]
= f
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12. Liani can spend no more than $15.75 for new fish in her aquarium.
a. Represent and Connect Let f be the number of fish
she can buy. What inequality represents the problem?
b. How many fish can Liani buy?
Answe4.7
Step-by-step
Explain how you can tell that triangles ABC and PQR are similar.
Answer:
see below
Step-by-step explanation:
becaues the angles on the top are the same
also the ratios of the 2 sides given are of the same ratio
9/6=1.5
7.5/5=1.5
I NEED HELP WITH BOTH QUESTIONS ASAP!!!
Answer: 5 and {100, 20, 4, 0.8}
Step-by-step explanation: For the first problem each numbers difference is +5, (-9 + 5 = -4 + 5 = 1 exc.) For the second problem the arithmetic sequence is /5, (100 / 5 = 20 / 5 = 4 exc.)
Use the figure. 9 m Find the area to the nearest hundredth. Use 3.14 for T. Enter the correct answer in the box. m²
Answer:
254.34 m²
Step-by-step explanation:
[tex]A=\pi r^2 \approx (3.14)(9^2)=254.34[/tex] m²
A six-sided die has an unknown number of faces marked with a six. Let k be this unknown number, which we would like to estimate. Our prior distribution fork is P(k = j) = -0.4, j=1 and 0.1, j = 0,2,3,4,5,6, When the die is thrown each face has an equal chance of showing. The observed data is that the die was thrown twice, and it did not show a six either time. (a) Write down the likelihood for the observed data. What is the maximum likelihood estimate for k? (b) Derive the normalized posterior distribution for k. What is the posterior mean for k? (e) Find the posterior predictive probability that if the die is thrown again, it will not show a six.
The posterior predictive probability that if the die is thrown again, it will not show a six is 0.4
Probability is a mathematical concept that is used to describe the likelihood of an event happening.
In this case, the event is the result of throwing a six-sided die with an unknown number of faces marked with a six. This unknown number is referred to as k, and our prior distribution for k is given by
=> P(k = j) = -0.4 for j = 1 and 0.1 for j = 0, 2, 3, 4, 5, 6.
The normalized posterior distribution for k can be found by multiplying the prior distribution and the likelihood and then normalizing to ensure the sum of all probabilities equals 1.
The posterior mean for k is calculated as the weighted average of k, with the weights being the posterior probabilities.
Finally, the posterior predictive probability that if the die is thrown again, it will not show a six can be found by summing the probabilities of not getting a six for each possible value of k weighted by the posterior probabilities of k.
This gives us the overall probability that if the die is thrown again, it will not show a six.
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there are two drama groups in school.
In one group there 36 boys and 48 girls.
In the group
[tex] \frac{3}{7} [/tex]
of students are boys and the rest of the students are girls
Ann says:
"the ratio of the numbers of boys to the number of girls is the same for both"
Is ann correct?
You must show how you get your answer
Ann says:
"the ratio of the numbers of boys to the number of girls is the same for both"
Yes, she is correct.
What is ratio?The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
Given:
There are two drama groups in school.
In one group,
there are 36 boys and 48 girls.
The ratio of boys to girls = 36 / 48 = 3:4.
In the group,
3/7 of students are boys and the rest of the students are girls.
The number of girls = 4/7
The ratio of boys to girls = 3/7 / 4/7 = 3:4.
Therefore, Ann's assumption is right.
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