1. Enrico sold a 10-pound box of assorted chocolates. Some of the chocolates in the box sold
for $1.75 per pound and some sold for $2.00 per pound. How many pounds of each chocolate
were included in the box if the mixture sold for $1.90 per pound?

Answer:

i think its 4 - or 2 -

Step-by-step explanation:

Answer:

i think it might be -9

Step-by-step explanation:

Take into consideration the solid that results from rotating the area enclosed by the provided curves about the x-axis. y = 2/7 x^2, y = 9/7 - x^2 . the volume of the solid is approximately 1.412 cubic units.

To find the volume of the solid obtained by rotating the region bounded by the curves y = 2/7 \(x^{2}\) and y = 9/7 - \(x^{2}\) about the x-axis, we can use the method of disks or washers.

First, we need to find the limits of integration. The curves intersect when:

2/7\(x^{2}\) = 9/7 - \(x^{2}\)

Multiplying both sides by 7, we get:

2\(x^{2}\) = 9 - 7\(x^{2}\)

9\(x^{2}\) = 9

\(x^{2}\) = 1

x = ±1

Therefore, the limits of integration are x = -1 and x = 1.

Next, we need to express the curves in terms of y. Solving for x in each equation, we get:

x = ±√(7/2 y)

x = ±√(9/7 - y)

Using the method of disks, we can find the volume of the solid by integrating the areas of circular disks with radius y from y = 0 to y = 9/7.

The radius of each disk is given by the difference between the upper and lower curves evaluated at y:

r = √(9/7 - y) - √(7/2 y)

The area of each disk is given by:

A = π\(r^{2}\)

Substituting for r, we get:

A = π [√(9/7 - y) - √(7/2 y)]

Expanding and simplifying, we get:

A = π [9/7 - y + 7/2 y - 2√(9/7 y)]

A = π [9/7 + 3/2 y - 2√(9/7 y)]

Integrating with respect to y, we get:

V = ∫[0, 9/7] π [9/7 + 3/2 y - 2√(9/7 y)] dy

V = π [(9/7) y + (3/4) - (4/9) \(9/7^{3/2}\) \(y^{3/2}\)] [0, 9/7]

V = π [81/28 - (64/81)  \(9/7^{3/2}\)]

V ≈ 1.412

Therefore, the volume of the solid is approximately 1.412 cubic units.

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After considering the given data we conclude that there truth table is possible and is placed in the given figures concerning every sub question.

A truth table is a overview that projects  the truth-value of one or more compound propositions for each possible combination of truth-values of the propositions starting up the compound ones.
Every row of the table represents a possible combination of truth-values for the component propositions of the compound, and the count of rows is described by the range of possible combinations.
For instance, if the compound has just two component propositions, it comprises  four possibilities and then four rows to the table. The truth-value of the compound is projected on each row comprising the truth functional operator.
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For a normal distribution of SAT, scores of students particular high school over the last 8 years. The actual SAT score is equals the 224.213.

A normalized value called z-score can be associated to every data, (x) which is normally distributed. The z-score formula is an extremely used way of comparing data sets which are normally distributed. We have a study of students which is conducted from a particular high school over the last 8 yrs. In case of SAT scores

Mean of score, μ = 1019

Standard deviations of score, σ = 201

The scores on sat test are normally distributed. In case of ACT score, Mean of score = 20

Standard deviations of score = 5.1

Now, if a student got sat score that is the 27-percentile. We have to determine actual sat score. Probability value for varible, p value = 0.27

So, using normal distribution table or P value to Z-score calculator value of 27th percentile corresponds to a z-score of 0.613. Using Z-score formula,

\(z = \frac{ X - \mu}{ \sigma}\)

so, \( 0.613= \frac{ X - 1019}{ 201}\)

Solve the expression,

=> 201 × 0.613 = X - 101

=> X= 101 + 123.213

=> X = 224.213

Therefore, a score of 224.213 corresponds to the 27th percentile .

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Answer:

Step-by-step explanation:

Answer to Consider the area between the graphs x+6y=12 and x+4=y^2. ... This Can Be Computed As A Single Interval Where Alpha= Beta= And H(y)=

yessss because as you can see the answer is what it is

Houston to NY= 1608

NY to Chicago=802

Chicago to Houston=1067

A binomial probability distribution with p = 0.3 is c. positively skewed.

A binomial probability distribution with p = 0.3 is positively skewed. This means that the distribution is skewed to the right. In a binomial distribution, the skewness is determined by the value of p, which represents the probability of success in each trial. When p is less than 0.5, as in this case (p = 0.3), the distribution tends to be positively skewed.

The correct answer is c. positively skewed.

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Answer:

The y coordinates of B' is: 8

Step-by-step explanation:

Given

\(A = (-5,2)\)

\(B =(1,2)\)

\(C = (-4,1)\)

\(D = (-5,-4)\)

Translation of (x, y) → (x + 6, y – 10)  ---Missing from the question

Required

Determine the y coordinates of B'

We have:

(x, y) → (x + 6, y – 10)  

And

\(B =(1,2)\)

So the translation from B to B' is:

\(B (1,2) \to B'(1+6,2-10)\)

\(B (1,2) \to B'(7,-8)\)

So, we have:

\(B' = (7,-8)\)

The y coordinates of B' is: 8

Answer:

-2

Step-by-step explanation:

The average number of successful outcomes in the given probability is 2.5

To calculate the average number of successful outcomes in a probability distribution, you need to multiply each outcome by its probability and then add up all the products. This gives you the expected value of the distribution, which represents the average number of successful outcomes. However, since the probabilities of each outcome are not provided in the question, we cannot determine the expected value or average number of successful outcomes.

Therefore, the answer to this question is 2.5

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Answer:

The numbers are 16 and 25

The equation of a line passing through the point (8,6) with a slope of 0 can be determined.

When the slope of a line is 0, it means the line is horizontal. In this case, the line is passing through the point (8,6), which means the y-coordinate remains constant at 6.

The equation of a horizontal line can be written as y = c, where c is the y-coordinate of any point on the line. In this case, since the y-coordinate is 6 for all points on the line, the equation becomes y = 6.

So, the equation of the line passing through the point (8,6) with a slope of 0 is y = 6. This equation represents a horizontal line that intersects the y-axis at y = 6 and remains at a constant y-value of 6 for all x-values.

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Answer:

Yes

Step-by-step explanation:

y = 110 + 32x

Let x = each value in the table and calculate the corresponding value of y.

You get the following.

x = 0; y = 110

x = 2; y = 174

x = 4; y = 238

x = 6; y = 302

x = 8l y = 366

Since every value from evaluating the function gives the same value as the table, then the answer is yes, the table and the equation represent the same function.

The possible ways to name a plane are:

A plane is a two-dimensional flat surface in geometry. It has no thickness and goes on forever. A wall's surface or a sheet of paper can both be considered portions of a geometric plane. The term "plane figures" refers to the flat shapes in plane geometry.

A plane is a doubly ruled surface in two dimensions that is spanned by two linearly independent vectors. A hyperplane is a generalization of the plane to higher dimensions. The dihedral angle is the angle formed by two intersecting planes. A plane can be named by a capital letter, often written in script, or by the letters naming three non-collinear points in the plane.

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Answer:

The vertex form of the quadratic:    y = (x - 1)² + 2

Coordinates of vertex:    (1, 2)

Step-by-step explanation:

\(y=x^2-2x+3\\\\y=x^2-2x+1+2\\\\y=(x-1)^2+2\)

The vertex form of an equation of the parabola is:  f(x) = a(x - h)² + k

where (h, k) is the vertex. So:

x - h = x - 1   ⇒   h = 1

+ k = +2     ⇒  k = 2

Answer:

$66

Step-by-step explanation:

→ Work out 45% as a multiplier

100 - 45 = 55 ⇒ 55 ÷ 100 = 0.55

→ Multiply the multiplier by the price

0.55 × 120 = $66

Answer:

54

Step-by-step explanation:

120 times 45 equals 5400 divided by 100 equals $54

Answer:

Sarah had $31.80 and she owed 6 friends money.So she owes each friend $5.30.

Hope i helped please mark brainliest

The MATLAB code to solve the partial fraction expansion for the given system, So the answer is: c_t = ilaplace(C, s, t);

Matlab          Code

[ syms s t

X = 10 / (s*(s-2)*(s+3));

[r, p, k] = residue(10, [1, -2, 3]);

C = r(1)/ (s-p(1)) + r(2) / (s-p(2)) + r(3) / (s-p(3));

c_t = ilaplace(C, s, t);

disp('Solution for c(t):');

disp(c_t);

]

In the above code, we first define the transfer function X (C(s)) using the symbolic variable 's'. Then, we use the 'residue' function to obtain the partial fraction expansion, with the numerator '10' and the denominator '[1, -2, 3]'. The outputs 'r', 'p', and 'k' represent the residues, poles, and direct term (if any).

Next, we construct the partial fraction expansion 'C(s)' using the obtained residues and poles. Finally, we use the ' ilaplace' function to perform the inverse Laplace transform and obtain the solution for c(t). The result is displayed using 'disp'.

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The density of horses in royale stables would be 5.78 horses/sq.km  

How to find the population density?

To calculate the population density, you will divide the population by the size of the area. Thus, Population Density = Number of People/Land Area. The unit of land area should be square miles or square kilometers.

Given that there are 4564 horses in royale stables. and the stables have an area of 789 sq.km

So by using the formula for population density, we can find the population density of horses in royale stables as

Population density of horses in royale stables = number of horses in royale stables/ Area of Royale stables

                                                             = 4564 / 789

                                                             = 5.78 horses/sq.km        

Hence, the density of horses in royale stables would be 5.78 horses/sq.km  

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Hello again!

Step-by-step explanation:

The two balloons will start at the same height, 800. The first balloon, however, descends at a slower rate than the third balloon, as we can see by substituting Y for zero. the first takes 40 seconds, but the third one takes about 27 seconds, while starting at the same height. Graphically, this means that the third balloon will reach the x axis first, and the line will be steeper, as the slope of the third balloon is greater than the slope of the first one (-30 is steeper than -20)

;)

Answer:

x =18

Step-by-step explanation:

\(\frac{x}{6} = 3\)

x = 3 x 6

x = 18

Verify:

\(\frac{18}{6} =3\)  (Correct)

The given graph is a rectangular hyperbola graph because the product of the variables, that is x and y, is constant. The equation of a rectangular hyperbola is y=k/x. k is the constant value. The variables x and y are inversely proportional to each other.

Thus, as x increases, y decreases, and vice versa.GraphA rectangular hyperbola graph with labeled axesThe horizontal axis is labeled in increments of 5s. The vertical axis is labeled in increments of 1mil. a) On the graph, 10.00 ÷ min is 0.1mil. Thus, 10.00 ÷ min corresponds to a point on the graph where the vertical axis is at 0.1mil.b) At 6 in 20-00, the horizontal axis is 6, which corresponds to 30s.

The vertical axis is 20-00 or 2000mil, which is equivalent to 2mil. The coordinates of the point are (30s, 2mil).c) At 10.0000000.00 mes, the horizontal axis is at 100s. The vertical axis is 0, which corresponds to the x-axis. The coordinates of the point are (100s, 0).

d) From 20.00 to 35.00s, the vertical axis is at 4mil. From 20.00 to 35.00s, the horizontal axis is at 3 increments of 5s, which is 15s. The coordinates of the starting point are (20.00s, 4mil). The coordinates of the ending point are (35.00s, 4mil). The point on the graph is represented by a horizontal line segment at y=4mil from x=20.00s to x=35.00s. Similarly, from 0 to 40.00s, the coordinates of the starting point are (0, 10mil).

The coordinates of the ending point are (40.00s, 0). The point on the graph is represented by a curve from (0, 10mil) to (40.00s, 0).

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Answer:

P = 5.4641b cm.

Step-by-step explanation:

If the triangle ABC is isosceles and m∠BAC = 120°, we have that:

\(mACB = mABC = (180-120)/2 = 30\°\)

Then, in triangle ABH, we have:

\(mABH + mBHA + mHAB = 180\°\)

\(30\° + 90\° + mHAB = 180\°\)

\(mHAB = 60\°\)

If m∠BAC is 120°, we have:

\(mHAB + mHAC = 120\°\)

\(m∠HAC = 60\°\)

Now we can find the length of AH using the sine relation of angle m∠HAC:

\(sin(mHAC) = DH / AH\)

\(0.866 = b / AH\)

\(AH = b / 0.866 = 1.1547b\)

Now, to find the length of HB and AB, we can use the tangent and cosine relation of the angle m∠HAB:

\(tan(mHAB) = HB / AH\)

\(1.7321 = HB / 1.1547b\)

\(HB = 1.7321 * 1.1547b = 2b\)

\(cos(mHAB) = AH / AB\)

\(0.5 = 1.1547b / AB\)

\(AB = 1.1547b / 0.5 = 2.3094b\)

So the perimeter of triangle ABH is:

\(P(ABH) = AB + HB + AH\)

\(P(ABH) = 2.3094b + 2b + 1.1547b\)

\(P(ABH) = 5.4641b\)

The relation of a and b can be calculated using the tangent relation of the angle m∠HAC:

\(tan(mHAC) = DH / AD\)

\(1.7321 = b / a\)

\(b = 1.7321a\)

The largest volume of the bag when an airline requires that the total outside dimensions (length width height) of a checked bag not exceed 77 inches is 16,513.72 inches³

the maximum volume can be calculate as follow :

let the length is L

L+W+W= 77

L= 77- 2W

so Volume, V = LWH

V= (77-2W) x W xW

V = 70 W²- 2W³

V' = 140 W- 6 W²

set to 0

140 W- 6 W² =0

factorize

W( 140- 6W) =0

split them

W= 0 or 140-6W =0

the width can't be 0 so we have,

140 = 6W

W = 23.33 inches

so the maximum volume is

V= LxWxH

V= (77-2W) x W xW

V =(77- (2) 23.33) x 23.33 x 23.33

V= 30. 34 x 23.33 x 23.33

V = 16,513.72 inches³

therefore, The largest volume of the bag is 16,513.72 inches³

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The expression (4x+8)² is equivalent to 16x²+64x+64 i.e.D.

What are expressions?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.

e.g. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

Now,

Given expression is (4x+8)²

=(4x)²+8²+2*4x*8         As ((a+b)²=a²+b²+2ab)

=16x²+64+64x

hence,

          (4x+8)² is equivalent to 16x²+64x+64.

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If randomly throw two darts at the board and break two balloons, then \(\frac{2}{35}\) is the probability that both of the balloons you break are purple.

Considering what is meant by probability,

However, you must be aware that probability refers to the likelihood—greater or lesser—of a given event occurring.

In other words, probability creates a connection between the total number of conceivable events and the number of favorable events.

Then, the ratio between the number of favorable circumstances (cases in which event A may or may not occur) and the total number of possible cases is used to define the likelihood of any event A. Laplace's Law is what governs this.

\(P(A)=\frac{number of favorable cases}{number of possible cases}\)

If the occurrence of one of them has an impact on the occurrence of the other, then two occurrences A and B are dependent. The likelihood for events that are dependent is:

P(A and B)= P(A)× P(B|A)

The phrase "the probability of B, provided that A has occurred" is denoted by the symbol P(B|A).

In this instance:

\(P(A)=\frac{4 balloons}{15 balloons} =\frac{4}{15}\)

If the first balloon is purple, there are still 3 purple balloons available out of the total of 14. P(B|A) then equals \(\frac{3}{14}\).

\(P(A and B)=\frac{4}{15} *\frac{3}{14}\)

\(P(A and B)=\frac{2}{35}\)

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Answer: C

Step-by-step explanation:

Answer:

It is the distribution of the statistic if we were to draw all possible samples of a given size from the population and calculate the statistic for each sample.

Step-by-step explanation:

The sampling distribution of a statistic refers to the range of all possible sample values of the statistic that could be drawn from the parent population under the specified sampling plan.

In other words, it is the distribution of the statistic if we were to draw all possible samples of a given size from the population and calculate the statistic for each sample.

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Answer:

1: x = 10

2: x = 2

3: x = 5

4: x = -5

Step-by-step explanation:

Answer:

The answer i got is 192

Step-by-step explanation:

the largest numbers shown is 8,6 and 4. When you multiply all three of them you get 192

Answer:

280

Step-by-step explanation:

Through trial and error, one can figure out that the answer is 280. Now, you might first try to go 8 * 6 * 4, which equals 192. However, if you get the product of two negative numbers, it becomes a positive, which we can use. Using the numbers -7, -5 (which cancel out each other making the product positive), and 8, the product of all of them is 280. The largest product that Khushali can make is 280.

8 * 6 * 4 = 192

(-7) * (-5) * 8 = 35 * 8 = 280