Two oranges and five lemons cost $2.95. Three oranges and two lemons cost $2.50. How
much would five oranges and three lemons cost?

The 500 sample size and 95% confidence level will both tend to increase the width of the confidence interval.

In this question, we have been given  the combinations of sample size and confidence level.

We need to select a combinations of sample size and confidence level that will give the widest interval.

We know that the confidence level is typically set in the range of 99% to 80%. The 95% confidence interval will be wider than the 90% interval and which will be wider than the 80% interval.

As we know increasing the confidence will increase the margin of error which results in a wider interval.

But increasing the sample size decreases the width of confidence intervals, as it decreases the standard error.

This means, for the widest interval we need to select a high confidence interval and small sample size.

Therefore, the sample size = 500 and the confidence interval = 95% will give the widest interval.

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Answer:

I think 8 is the geometric

A²+B²= C²

31²+ 21²= z²

961+441 = z²

1402= z²

z= 37.443290454

The linear functions for this problem are graphed on the image given at the end of the answer.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which the parameters are given as follows:

Hence the functions in this problem are graphed as follows:

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The solid formed when the right triangle is rotated around the side length of 5 is two cones with a radius of 1.5 units and a height of 1.8 units and 3.2 units.

The volume of the smaller cone is approximately 3.82 cubic units, and the surface area is approximately 20.94 square units.

The volume of the larger cone is approximately 6.04 cubic units, and the surface area is approximately 20.94 square units.

We have,

When the right triangle is rotated around the side length of 5, it forms two cones with different heights and radii.

Now,

r = base / 2 = 3 / 2 = 1.5 units

h = height = 4 units

Using the Pythagorean theorem,

l = √(1.5² + 4²) = √(18.25) ≈ 4.27 units

The first cone has a radius of 1.5 units and a height of 1.8 units (5 - 4.27)

The second cone has a radius of 1.5 units and a height of 3.2 units (5 - 1.8).

Now,

The volume of a cone.

V = (1/3)πr^2h

The surface area of a cone.

A = πrl + πr^2

For the first cone:

V = (1/3)π(1.5)²(1.8) = 3.82 cubic units

A = π(1.5)(4.27) + π(1.5)² = 20.94 square units

For the second cone:

V = (1/3)π(1.5)²(3.2) = 6.04 cubic units

A = π(1.5)(4.27) + π(1.5)² = 20.94 square units

Thus,

The solid formed when the right triangle is rotated around the side length of 5 is two cones with a radius of 1.5 units and a height of 1.8 units and 3.2 units.

The volume of the smaller cone is approximately 3.82 cubic units, and the surface area is approximately 20.94 square units.

The volume of the larger cone is approximately 6.04 cubic units, and the surface area is approximately 20.94 square units.

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A free semigroup is a collection of all possible finite sequences of symbols generated by a set of symbols, where the multiplication operation is concatenation of such sequences.

A free semigroup is a semigroup that is generated by a set of symbols, where the multiplication operation is defined as concatenation of finite sequences of symbols. In other words, a free semigroup is a collection of all possible finite sequences of symbols, where the multiplication operation is concatenation of such sequences.

The "free" in "free semigroup" comes from the idea that there are no restrictions on how the elements of the semigroup are combined, as long as they are concatenated in a finite sequence. There are no additional relations or rules imposed on the multiplication operation, which makes it "free" in the sense that the operation is determined solely by the set of symbols being used.

For example, consider the set of symbols {a, b}. The free semigroup generated by this set would consist of all possible finite sequences of the symbols a and b, including the empty sequence (). The multiplication operation would be defined as concatenation of sequences, such that (a, b)(b, a, b) = (a, b, b, a, b). Note that there are no additional rules or relations imposed on the multiplication operation.

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Given statement solution is :- The correct answer is: The frequency is 3 more than expected.

To determine the expected frequency of landing on an even number when rolling a fair six-sided number cube, we need to calculate the probability of landing on an even number and multiply it by the total number of rolls.

The number cube has six possible outcomes: 1, 2, 3, 4, 5, and 6. Of these, three are even numbers: 2, 4, and 6. Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2 or 0.5.

The expected frequency can be found by multiplying the probability by the total number of rolls:

Expected frequency = Probability of landing on an even number × Total number of rolls

Expected frequency = 0.5 × 30 = 15

Now, we can compare the expected frequency (15) to the actual frequency (18) given in the problem statement.

The actual frequency is 18, and it is 3 more than the expected frequency (18 - 15 = 3).

Therefore, the correct answer is: The frequency is 3 more than expected.

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Using the integers −9 to 9 at most one time each, place a digit in each box (1, 3) and (9, 3) or (-9, 3) to create endpoints for the longest possible line segment both numerically and graphically whose midpoint is (1, 3).

To find the endpoints of the longest possible line segment with midpoint (1, 3), we can use the midpoint formula, which states that the midpoint of a line segment with endpoints (x₁, y₁) and (x₂, y₂) is ((x₁+x₂)/2, (y₁+y₂)/2).

In this case, we know the midpoint is (1, 3), so we can set up two equations using the variables for the endpoints (x and y) and solve for them:

(x₁ + x₂)/2 = 1

(y₁ + y₂)/2 = 3

We also know that the line segment must be as long as possible, so the endpoints should be as far away from each other as possible. To maximize the distance between the endpoints, we can choose one endpoint to be -9 and the other endpoint to be 9. This gives us:

(x₁ + x₂)/2 = 1 => x₁ + x₂ = 2

(y₁ + y₂)/2 = 3 => y₁ + y₂ = 6

Now we can solve for x₁ and y₁, since x₂ and y₂ will be 2-x₁ and 6-y₁ respectively:

x₁ + (2-x₁) = 2 => x₁ = 1

y₁ + (6-y₁) = 6 => y₁ = 3

So the endpoints of the longest possible line segment with midpoint (1, 3) are (1, 3) and (9, 3) or (-9, 3), and its length is 8 units.

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Answer:

p+6

Step-by-step explanation:

Answer: The solution is the point (-14, -54)

Step-by-step explanation:

When we have a system of linear equations like:

y = a*x + b

y = c*x + d

The solution of this system is the point (x, y) that is a solution for both equations, if we graph the lines, this point would be the point where the lines intersect.

To start with this, we need to find the equations of the lines, we will use the following:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Now, for the first table, we can use the points: (-3, -10) and (0, 2)

The slope of this line is:

a = (2 - (-10))/(0 - (-3)) = 12/3 = 4

then we have:

y = 4*x + b

To find the value of b, we can just replace one of the points in the equation, for example, we can use the point (0, 2), this means that we need to replace x by 0, and y by 2.

2 = 4*0 + b

2 = b

Then the equation for the first table is y = 4*x + 2

For the second table, we can use the points (0, -12) and (3, - 3)

Then the slope is:

a = (-3 - (-12))/(3 - 0) = 9/3 = 3

Then we have:

y = 3*x + c

And to find the value of c, we can do the same as before, now we use the point (0, -12) then:

-12 = 3*0 + c

-12 = c

Then the equation for this line is:

y = 3*x - 12

The system of linear equations is then:

y = 4*x + 2

y = 3*x - 12

To find the solution of the system, we must have that y = y, then we can write:

4*x + 2 = y = 3*x - 12

4*x + 2 = 3*x - 12

Now we can solve this for x.

4*x - 3*x = -12 - 2

x = -14

x = -14

Now we can replace this in one of the equations to find the value of y.

y = 3*(-14) - 12 = -54

Then the solution is the point (-14, -54)

\(f(g(13)) = f( \alpha ) \\ where \: \alpha = g(13)\)

As shown in the output of g when we want to input 13 is shown in the second figure.

\( \alpha = g(13 )= 16\)

Now we want to solve for f(g(13)),now that we know what g(13) is

\(f(g(13)) = f( \alpha ) = f(16) = 32\)

Answer:

C=32

Step-by-step explanation:

This mapping is both one to one mapping and onto mapping

f(g(13))=f(ã)

since we know that g(13),we proceed to the codomain of g which is g(16)

That will be

f(16)=32

Answer:

17 and [a+1] is the factor

Step-by-step explanation:

Given:

1/7a + 1/7

Find:

Factor

Computation:

1/7a + 1/7

By taking 1/7 as a common

1/7[a+1]

So,

17 and [a+1] is the factor

The coefficient of the variable term in factored form is; 1

The given expression is;

(1/7)a + 1/7

Now, we want to factorize this and this means that we will bring out the common factor of both terms.

The common factor of both terms is 1/7. Thus, we have;

(1/7)(a + 1)

The variable term is a and as such we see that it's coefficient inside the bracket is 1.

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Answer:

Step-by-step explanation:

Rewrite the expression y^2/3 as a radical expression.

if n is a positive integer that is greater than x and a is a real number or a factor, then aˣ/ⁿ = \(\sqrt[n]{a^x}\)

use the rule to convert y²/₃ to a radical

where a =, x =, and n =.

therefore, the radical expression is \(\sqrt[3]{y^2}\)

Answer

what r the options? a b c d?????

i wuld say it is 2.5

Step-by-step explanation:

Answer:

3584232 || N o- t h x—?

Step-by-step explanation:

Answer:

3584232

Step-by-step explanation:

Yes I do its Sunju #5984

The radius divides the diameter into 2, and the radius of the circle is 16 units

The radius of the circle and the tangent line meet at a right angle.

This means that:

CE² = r² + DE² ------ Pythagoras theorem

So, we have:

34² = r² + 30²

Evaluate the squares

1156 = r² + 900

Rewrite as:

r² = 1156 - 900

Evaluate

r² = 256

Take the square root of both sides

r = 16

Hence, the radius of the circle is 16 units

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Answer:

Domain) all x

Range) 1

Step-by-step explanation:

The domain is the x values and the range is the y values

In this case anything could be x, and y can only be 1

Answer:

-7 x 1

hope that helped <3

-7 times one is equal to minus seven.

Two or more expressions with an Equal sign is called as Equation.

We need to find what times what is -7.

Whenever we see a times in an expression its nothing but multiplication.

Multiplication is a method of finding the product of two or more numbers

We need to find the two numbers whose product will be equal to minus seven.

We know that there is only one possibility.

-7×1=-7

and 1×-7=-7

Hence ,-7 times one is equal to minus seven.

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Answer:

A) MP(q) = -3q² + 440q - 13

B) 146.64 units.

Step-by-step explanation:

The profit function is given by the revenue minus the cost function:

\(P(q) = R(q) - C(q)\\P(q) = -q^3+220q^2-500-13q\)

A) The Marginal profit function is the derivate of the profit function as a function of the quantity sold:

\(P(q) = -q^3+220q^2-500-13q\\MP(q) = \frac{dP(q)}{dq} \\MP(q)=-3q^2+440q-13\)

B) The value of "q" for which the marginal profit function is zero is the number of items (in hundreds) that maximizes profit:

\(MP(q)=0=-3q^2+440q-13\\q=\frac{-440\pm \sqrt{440^2-(4*(-3)*(-13))} }{-6}\\q'=146.64\\q'' = - 0.03\)

Therefore, the only reasonable answer is that 146.64 hundred units must be sold in order to maximize profit.

Answer:it would be a

Step-by-step explanation:

I got it right on odseyware

Hello User!

Answer:

\(a^{9}/8\)

Last one is your answer

Answer:

X = 6

Step-by-step explanation:

X + 8 = 14          * Subtract 8 from both sides so that

    -8   -8              the 8 is cancelled out

_________

X + 0 = 6

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Answer:

Step-by-step explanation:

Let h(x) = y

The exponentail function is of the form :

\(y = ab^x\)

We have :

\(y_{_1} = ab^{x_{_1}}\\y_{_2} = ab^{x_{_2}}\\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{ab^{x_{1}}}{ab^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = \frac{b^{x_{1}}}{b^{x_{2}}} \\\\\implies \frac{y_{_1}}{y_{_2}} = b^{(x_1-x_2)}\)

Given points : (4, 9) and (5, 34.2)

We have:

\(\frac{34.2}{9} = b^{(5-4)}\\\\\implies 3.8 = b\)

Writing the equation with x, y and b:

\(y = ab^x\\\\\implies 9 = a(3.8^4)\\\\a = \frac{9}{3.8^4} \\\\a = 0.043\)

a = 0.043

b = 3.8

When x = 6, y will be:

\(y = (0.043)(3.8^6)\\\\y = 128.47\)

This is not the y value in the question y = 59.4

Therefore (6, 59.4) does not lie on the graph h(x)

Answer:

D) 27/62

Step-by-step explanation:

Since the question does not ask for a person that ONLY likes tea, you would use all the numbers within the tea circle. So, you would add 16, 2, 8, and 1 together to get the answer of 27/62.

Answer:

----------------------------

Calculate the area of the octagon base and then multiply it by the height of the pool.

The area of a regular octagon can be found using the formula:

Plugging this value into the formula:

Find the volume of the pool by multiplying the base area by the height:

Answer:

14 is a polynomial.

x+1 is a polynomial.

14vx is not a polynomial.

x-2 -2x+4 is a polynomial.

14 is a polynomial, x+1 is a polynomial, 14vx is not a polynomial, x-2 -2x+4 is a polynomial.

A polynomial is an equation made up of indeterminates and coefficients that only uses addition, subtraction, multiplication, and positive-integer powers of variables.

Polynomials are algebraic expressions with indeterminates and constants in them. Polynomials can be thought of as a mathematical dialect. They are used to express numbers in practically every subject of mathematics and are quite significant in others, such as calculus.

Polynomials cannot include the following:

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Answer:

  46

Step-by-step explanation:

You want to evaluate the expression t²u+s for t=-2, u=9, s=10.

Put the numbers in the places of the corresponding variables, and do the arithmetic.

  (-2)²·9 +10 = 4·9 +10 = 36 +10 = 46

The value of the expression is 46.

Answer:

√52

Step-by-step explanation:

6^2 = 36

4^2 = 16

   a.       b

√36 + √16 = c

c = √52

Step-by-step explanation:

2

\(2 \sqrt{13 } \)

Answer:

12

Step-by-step explanation:

well i dont get the qiustion but i can explain it

6x2=12

12/2=6

so

12 is the answer this is the best it can explain it