The weight of a medium-size orange selected at random from a large bin of oranges at the local supermarket is a random variable with mean u = 12 ounces and standard deviation 0 = 1.2 ounces. Suppose we independently pick two oranges at random from the bin. The expected value of the sum of the weights of the two oranges, in pounds (1 pound = 16 ounces) is: a. 24. b. 1.5. c. 0.75. 24/16 = 1.5 lb. 4 4

Answer:

The answer is 112ft

Step-by-step explanation:

All you would do is multiply 8x14

Answer:

Step-by-step explanation: yes it is that is how you do it

The negations of the given statements with the application of De Morgan's law and/or conditional law.

a) ∃x (¬P(x) ∨ ¬R(x))

De Morgan's law:

∃y ∀z(¬P(y) ∧ ¬Q(z))

b) ∃y ∀z(¬P(y) ∧ ¬Q(z))

The double negation:

∃y ¬∃z(P(y) ∨ Q(z))

c) ¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))

The conditional law:

¬∃x (P(x) ∨ (∀z (¬R(z)) → (∀z ¬Q(z))))

Let's form the negation of the given statements and apply De Morgan's law and/or conditional law, when applicable:

a) ∀x (P(x) ∧ R(x))

The negation of this statement is:

∃x ¬(P(x) ∧ R(x))

Now let's apply De Morgan's law:

∃x (¬P(x) ∨ ¬R(x))

b) ∀y∃z(¬P(y) → Q(z))

The negation of this statement is:

∃y ¬∃z(¬P(y) → Q(z))

Using the conditional law, we can rewrite the negation as:

∃y ¬∃z(¬¬P(y) ∨ Q(z))

c) ∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

The negation of this statement is:

¬∃x (P(x) ∨ (∀z (¬R(z) → ¬Q(z))))

Using the conditional law, we can rewrite the negation as:

¬∃x (P(x) ∨ (∀z (R(z) ∨ ¬Q(z))))

Applying De Morgan's law:

¬∃x (P(x) ∨ (∀z ¬(¬R(z) ∧ Q(z))))

Simplifying the double negation:

¬∃x (P(x) ∨ (∀z ¬(R(z) ∧ Q(z))))

Using De Morgan's law again:

¬∃x (P(x) ∨ (∀z (¬R(z) ∨ ¬Q(z))))

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Answer:

Decreasing order= 20,8,3,0,-2,-4,-11,-19

Thus after 12 minutes concentration of drug is 0.045.

The concentration C(t) of a certain drug in the bloodstream after t minutes is given by the formula \(c(t) = 0.05(1-e^{-0.2t} )\)

Drug concentration is amongst the most important determinants of clinical response to a drug.

Drug concentration will be seen to increase in biological samples drawn from the systemic circulation when the amount of drug absorbed exceeds the amount of drug that is distributed into the extravascular tissues and the drug that is metabolized and/or excreted during this period.

Thus after 12 minutes concentration of the drug is = C(5).

Now

C(5) = \(0.05(1-e^{-0.2t} )\)

= \(0.05(1-e^{-2.4} )\)

= 0.05(1-0.0907)

= 0.05×0.9093

= 0.045

The drug concentration is 0.045.

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In both the short run and the long run, the characteristic of a monopolistically competitive firm is that the market price will be equal to its marginal cost (p = mc).

A monopolistically competitive firm is characterized by several conditions, both in the short run and the long run. In the short run, a monopolistically competitive firm will have a market price that is greater than its marginal cost (p > mc).

In the long run, a monopolistically competitive firm will have a market price that is equal to its marginal cost (p = mc). This is because, in the long run, the firm faces increased competition and has to set its price at the level where its marginal cost equals its price.

In conclusion, in both the short run and the long run, the characteristic of a monopolistically competitive firm is that the market price will be equal to its marginal cost (p = mc). This is because in the short run, the firm has some market power and can charge a higher price, and in the long run, the firm faces increased competition and has to set its price at the level where its marginal cost equals its price.

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Answer:

i think x is equal to 5 if that's what your looking for

Step-by-step explanation:

3x + 7= 22

    -7    -7

    3x = 15

    3       3

      x = 5

Answer:

B

Step-by-step explanation:

Because adjacent basically means neighboring numbers, but they must be different than each other (Different angles). As long as they are next to each other and are different angles they count as adjacent.

I'm not sure if I explained this right but I tried.

Answer:

2nd option

Step-by-step explanation:

note that

5n ← generates multiples of 5, that is

5 × 1 = 5

5 × 2 = 10

5 × 3 = 15

5 × 4 = 20 , etc

5, 10, 15, 20, ....... are multiples of 5

but 5n + 1 does not generate multiples of 5 as

5 + 1 = 6

10 + 1 = 11

15 + 1 = 16

20 + 1 = 21

6, 11, 16, 21 are not multiples of 5

Answer:

15,840

Step-by-step explanation:

5280 feet in a mile

multiply by 3

Answer: 15840 feet

Step-by-step explanation: 1 mile = 5280 feet. So, multiply 5280 by 3. Your answer should be 15840 feet.

Answer:

$44.04

Step-by-step explanation:

let 3 be the number of people and 14.68 the person owes

3*14.68 = 44.04

Answer:

10 - 15%

Step-by-step explanation:

Just guessing

Answer:

There is nothing left of the element.

Step-by-step explanation:

210 x 8.3%

= 17,43

17.43 x 15

=261, 45

=260

A) All x- and y-intercepts include the following:

x-intercepts: none.

y-intercept: 1.

B) The equation for vertical asymptote is x = 4 and the equation for horizontal asymptote is y = 0.

C) The domain and range of f are:

Domain = [-∞, 4) U [4, ∞]

Range = [0, ∞]

In Mathematics, the x-intercept is the point at which the graph of a function crosses or touches the x-coordinate and the y-value or value of "y" is equal to zero (0).

Part A.

Based on the graph of this rational function, the x-intercept and y-intercept include the following:

x-intercept: none.

y-intercept: 1.

Part B.

An equation that represents the vertical asymptote is x = 4 while the equation represents the horizontal asymptote is y = 0 because the line does not cross those points.

Part C.

By critically observing the graph of this rational function, we can logically deduce the following domain and range:

Domain = [-∞, 4) U [4, ∞] or {x|x ≠ 4}.

Range = [0, ∞] or {y|y ≥ 0}.

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Janet ran 100 meters in 15 seconds. How long did she take to run 2 meters?

Solution:

100/15 = y/2

Solve for y.

y = (15/100)(2)

y = 0.3

Answer: She took 0.3 seconds.

Answer:

-2.5>-25

Step-by-step explanation:

Answer:

Angle VYZ = 27 degrees

A rhombus has 4 equal sides.

That makes Triangle VWX an isosceles triangle.

That means, Angle WXV is also 63 degrees.

All the angles in a triangle add up to 180 degrees:

63 + 63 + x = 180

126 + x = 180

x = 54 degrees

The angle opposite of Angle VWX (Angle VYX) also equals 54 degrees.

That means Angle VYZ = 1/2 of 54 = 27

Angle VYZ = 27 degrees

Answer:

27

Step-by-step explanation:

All triangles have a right angle, and triangles have a total degree of 180.

180 = 90 + 63 + a

a = 27

Line A:

1. The points are (4,5) and (2,3)

2. The slope is 1

3. Unit for slope is inch/week

Line B:

1. The points are (4,4) and (2,3)

2. The slope is 1/2

3. Unit for slope is inch/week

What is slope ?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

Line A:

1. The points are (4,5) and (2,3) ( write in (x,y) form )

2. slope = (5-3)/(4-2) = 2/2 = 1

( slope= change in y values/  change in x values )

3 . mark the slope as 1 inch/week

Line B:

1. The points are (4,4) and (2,3)

2. slope = (4-3)/(4-2) = 1/2

3 . mark the slope as 1/2  inch/week

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Multiply by \(A^{-1}\) on the right of both sides of \(A^3=I\), then use the fact that matrix multiplication is associative.

If \(A^3=I\), then

\(A^3A^{-1}=IA^{-1}\)

\(A^2(AA^{-1})=A^{-1}\)

\(A^2I=A^{-1}\)

\(\implies A^2=A^{-1}\)

Answer:

The 2nd graph

Step-by-step explanation:

We know

The solution is (0,5)

Looking at the options, we only see graph 2 has two lines intersecting at the solution point (0,5). So, the answer is graph 2.

Answer:

196x^2y

Step-by-step explanation: The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

Answer:

Amount of Chris' commission = $6800

Step-by-step explanation:

Given that:

Value of the house sold by Chris = $85,000

Percent of Chris' commission = 8%

Amount of Chris' commission = 8% of 85000

Amount of commission = \(\frac{8}{100}*85000\)

Commission = 0.08 * 85000

Commission = $6800

Hence,

Amount of Chris' commission = $6800

Answer:

10 ml of 10%

30 ml of 50%

Step-by-step explanation:

x = amount of 10%

40 - x = amount of 50%

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

10x + 50(40 - x) = 40(40)

10x + 2000 - 50x = 1600

-40x + 2000 = 1600

-40x = -400

x = 10 ml of 10%

40 - x = 30 ml of 50%

One artist not working scenario helps determine domain and range. It shows the max hours one needs to work when the other is not working. C' represents Claude's work hours, and P represents Philipe's work hours on the vertical axis.

The scenario where one of the artists is not working is helpful in finding the domain and range of their work hours. This scenario shows the maximum number of hours one artist would need to work when the other artist is not working. For instance, if Philipe is not working, Claude would have to work for 15 hours (60 caricatures ÷ 4 caricatures per hour) to meet their goal. Similarly, if Claude is not working, Philipe would have to work for 20 hours (60 caricatures ÷ 3 caricatures per hour) to meet their goal. On the horizontal axis, we can represent the hours that Claude works (C'), and on the vertical axis, we can represent the hours that Philipe works (P).

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a) The value of x is 21

b) The value of the expression is 135.

c) The value of the expression is 135.

Here we know that the lines G and M are parallel, meaning that the two shown angles are alternarte exterior angles, and thus, have the same measure, then we can write:

5*(x + 6) = 9*(x - 6)

We can solve that linear equation for x:

5x + 30 = 9x - 54

30 + 54 = 9x - 5x

84 = 4x

84/4 = x

21 = x

Then the measures of the angles are:

a1 = 5*(21 + 6) = 135°

a2 = 9*(21 - 6) = 135°

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The surface area of the sphere, to the nearest whole number, is 1318 cm².

A sphere is simply a three-dimensional geometric object that is perfectly symmetrical in all directions.

The volume of a sphere is expressed as:

Volume =  (4/3)πr³

The surface area of a sphere is expressed as:

SA = 4πr²

Where r is the radius of the sphere and π is the mathematical constant pi.

Given that the volume V is 4500 cm³.

First, we solve for the radius:

Volume =  (4/3)πr³

4500 = (4/3)πr³

4500 × 3 = 4πr³

13500 = 4πr³

r³ = 13500/4π

r = ∛( 13500/4π )

Now that we have the radius, we can calculate the surface area of the sphere using the formula:

SA = 4πr²

Substituting the radius we found:

SA = 4 × π × ∛( 13500/4π )²

SA = 1318 cm²

Therefore, the surface area is approximately 1318 cm².

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