10. It is known that, with probability 0.6, a new laptop owner will install a wireless Internet connection at home within a month. Let X denote the number (in hundreds) of new laptop owners in a week from a certain region, and let Y denote the number among them who install a wire- less connection at home within a month. Suppose that the PMF of X is x px(x) 0 0.1 1 0.2 2 0.3 3 0.25 4 0.15 (a) Argue that given X = x, Y ~ Bin(n = x,p = 0.6), and find the joint PMF of (X,Y). + (b) What are E(Y|X=0) and E(Y|X=1)? Please write E(Y|X=x) as a function of x. (This is also called the regression function of Y given X.) (c) Use the Law of Total Expectation to find E(Y). + (d) What is the covariance between X and Y?

Servings = total amount / serving size

Servings = 5 / 3/4

When dividing by a fraction, reverse the fraction and multiply:

= 5 x 4/3

= 20/3

= 6 2/3 servings

Answer: 6 servings

Step-by-step explanation:

3/4+3/4+3/4+3/4+3/4+3/4=4.5

if you add 3/4 then it will be  5.25 so basically 5 tablespoons

it is 6 full servings

Algebra acts as a tool to improve communication by providing a standardized language to express mathematical ideas and concepts. It allows people to communicate complex mathematical relationships and formulas in a concise and precise manner.

Algebra is a branch of mathematics that deals with mathematical symbols and the rules for manipulating these symbols. It provides a standardized language for expressing mathematical ideas and concepts, making it easier for individuals to communicate complex mathematical relationships and formulas in a concise and precise manner.

For example, instead of describing a mathematical relationship using words, algebraic notation can be used to represent the relationship using mathematical symbols, making it easier to understand and communicate. This standardized language also allows for greater consistency and accuracy when communicating mathematical ideas, reducing the potential for misunderstandings.

Algebra also plays a significant role in facilitating the sharing and understanding of mathematical concepts and problem-solving strategies. Through the use of algebraic notation, individuals can communicate mathematical ideas and solutions to problems, making it easier for others to understand and learn from them.

This, in turn, promotes collaborative learning and helps to foster a sense of community around mathematical knowledge. Additionally, the use of algebraic notation enables individuals to identify commonalities in mathematical concepts and problem-solving strategies, allowing them to build on each other's ideas and develop new approaches to problem-solving. Thus, algebra acts as a tool to improve communication and facilitates the sharing and understanding of mathematical knowledge, enabling individuals to learn from each other and achieve the kind of freedoms they are interested in.

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The measure of x, p, q and r are 65, 20 , 40 and 40 degrees respectively.

The sum of interior angle of a triangle is 180 degrees. Applying the theorem to each question.

3) 40 + x + 75 = 180

115 + x = 180

x = 180 - 115

x = 65 degrees

4) p + 40 + 120 = 180

p + 160 = 180

p = 20degrees

5). The triangle is isosceles showing that the base angles are equal.

100 + q + r = 180

100 + 2q = 180

2q = 80

q =r = 40 degrees

Hence the measure of x, p, q and r are 65, 20 , 40 and 40 degrees respectively.

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The probability that a person who wears glasses is an adult is 34%.

Probability is a number used in science to describe how likely an event is to occur. In percentage terms, it is expressed as a number between 0 and 1 or between 0% and 100%. The higher the probability, the more likely the event will occur.

Here, we have

Given: Several adults and children were observed to see how many of them were wearing glasses.

we have to find the probability that a person who wears glasses is an adult. P(adult | glasses).

Total number of adults = 0.58

Adults that wear glasses = 0.20

Probability(adult | glasses) = 0.20/0.58

P(adult | glasses) = 0.344

Hence, the probability that a person who wears glasses is an adult is 34%.

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Answer:

They are congruent

Step-by-step explanation:

They both have the sides with 15 and 12, and if you rotate it a bit it will look exactly the same.

Answer:

already in standard form

answer for factored is 6(7+ x)(7-x)

Answer: 24 square inches

Step-by-step explanation:

To get the whole area Multiply length x width

12 x 7 = 84

Now we get the area of the space in the rectangle

6 x 5 = 30 and multiply that by 2 since there are 2 spaces

in the rectangle.

30 x 2 = 60

84 - 60 = 24

Answer:

37

Step-by-step explanation:

If you add em all together qwq

I'm stupid too

You may convert any equation to intercept form by dividing by the constant on the right: => x/3 + y/3 = 1 => x/1.2 +y/(-1) = 1

An equation is a mathematical formula that expresses equality by joining two expressions together with the equal symbol =. An equal sign is a part of all mathematical formulas, including equations. Often, algebra is used in equations. In mathematics, algebra is employed when we don't know the precise quantity to calculate. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign.

You may convert any equation to intercept form by dividing by the constant on the right:

\(x/3 + y/3 = 1\\\\x/1.2 +y/(-1) = 1\)

These inform you that only graph A is suitable since the first equation has x- and y-intercepts of 3. The second equation likewise fits with graph A since it has an x-intercept of 1.2 and a y-intercept of -1.

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40% of $129.50 = $51.80

$129.50 - $51.80 = $77.70

Sale Price : $77.70

Answer: 23$ was in your pocket before u picked up 5$

Step-by-step explanation: Just subtract the total amount by hiw much u found...

Answer:

less than or equal to 17

Step-by-step explanation:

14=1.25+0.75x

12.75/0.75=x

x=17

17 is the maximum

Q/A:  A taxi service charges a flat fee of $1.25 and $0.75 per mile. If Henri has $14.00, which of the following shows the number of miles he can afford to ride in the taxi?

a.   m less-than-or-equal-to 17

b.   m greater-than-or-equal-to 17

c.   m less-than-or-equal-to 20.3

d.   m greater-than-or-equal-to 20.3

CC ALGEBRA 2A ED20

Answer:

It depends on the size of the box

Step-by-step explanation:

Since the dimensions of the box are not included you can't answer the question

Many psychologists consider the distinguishing feature of adolescent thought to be the ability to think in terms of abstract concepts or hypothetical situations.

These cognitive abilities play a crucial role in adolescent development, facilitating problem-solving, decision-making, and the exploration of identity and future possibilities.

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Answer:1

Step-by-step explanation:

subtract 4 from both sides, so that leaves you with 1=u

Answer:

no

Step-by-step explanation:

If the relationship is not one-to-one, it can still be regarded as a function if it is a many-one relationship, which means that the function has the same y value for a variety of x values.

This cannot be a function if we flip it around and make it a one-to-many relationship since the same input cannot produce various results.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

If the relation is not one-to-one it can still be considered as a function if it is a many-one function meaning for some different values of x the function has the same y value.

If we reverse this and make it a one to many it will not function as

same input can not lead to different outputs.

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Answer: 6

Step-by-step explanation:

Answer:

6 minutes

Step-by-step explanation:

got answer from Khan and ml78786maggie

Answer:

105

Step-by-step explanation:

120 + (120 x .75) =  120 + 90 = 210

210 - (210 x .50) =  210 - 105  = 105

To calculate the optimal profit, we need to find the value of D when the total cost is \($30,500\) and then substitute it into the given equation.

To find D, we can rearrange the equation to solve for D: Given:\(p = 180 - 0.2D\) and total cost =\($30,500\) Now, substitute the total cost ($30,500) into the equation to find D:

Since D cannot be negative in this context, it means that the given equation is not applicable for a total cost of \($30,500\). it is not possible to calculate the optimal profit using the given equation and the total cost of \($30,500\).

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a) The amount of water in the pool after 2 hours can be calculated using the equation.

Water in pool = 10L/hour × 2 hours = 20L.

b) The pool will be 80L when the equation is satisfied: 80L = 10L/hour × Time.

Solving for Time, we find Time = 8 hours.

c) Part b) is linear.

a) To calculate the amount of water in the pool after 2 hours, we can use the equation:

Water in pool = Water filling rate × Time

Since the pool gets filled up with 10L of water per hour, we can substitute the values:

Water in pool = 10 L/hour × 2 hours = 20L

Therefore, after 2 hours, there will be 20 liters of water in the pool.

b) To determine the number of hours it takes for the pool to reach 80 liters, we can set up the equation:

Water in pool = Water filling rate × Time

We want the water in the pool to be 80 liters, so the equation becomes:

80L = 10 L/hour × Time

Dividing both sides by 10 L/hour, we get:

Time = 80L / 10 L/hour = 8 hours

Therefore, it will take 8 hours for the pool to contain 80 liters of water.

c) Part b) is linear.

The equation Water in pool = Water filling rate × Time represents a linear relationship because the amount of water in the pool increases linearly with respect to time.

Each hour, the pool fills up with a constant rate of 10 liters, leading to a proportional increase in the total volume of water in the pool.

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Answer:

3/4

Step-by-step explanation:

thy shalt have the answer

Answer:

Option A

Step-by-step explanation:

Let us take this number as x, translating this description of the equation into mathematical language;

\(x^2 = 3x - 2\)

Now let us solve for x;

\(x^2 = 3x - 2,\\x^2+2=3x-2+2,\\x^2+2=3x,\\x^2+2-3x=3x-3x,\\x^2-3x+2=0,\\\\Factored = \left(x-1\right)\left(x-2\right)=0,\\Zero Factor Principle, \\x = 1, x = 2\\\\Solution - Option A\)

* Note that for the the previous problem I solved, I set up a similar equation that had two values for the width, one negative and the other positive. Now the width could only be a positive number, so there was only one solution out of the two.

The magnitude of the correlation coefficient, regardless of the sign, provides information about the strength of the linear relationship between variables.

The sample correlation coefficient, r, ranges between -1 and 1. A value of 1 or -1 indicates a perfect linear relationship, where all data points lie precisely on a straight line. On the other hand, a value close to 0 indicates a weak or no linear relationship.

In the given scenario, r = .40 indicates a moderate positive linear relationship. Although the correlation is not perfect (not equal to 1), it still suggests a moderate degree of association between the variables. The positive sign indicates that as one variable increases, the other tends to increase as well, but not necessarily in a strictly linear fashion.

On the other hand, r = -.60 indicates a stronger linear relationship, albeit in the negative direction. The negative sign signifies an inverse relationship, meaning that as one variable increases, the other tends to decrease, but again, not necessarily in a perfectly linear manner. The magnitude, which is the absolute value of the correlation coefficient, indicates a stronger relationship compared to r = .40.

Therefore, it is important to consider both the magnitude and the sign of the correlation coefficient to assess the strength and direction of the linear relationship between variables.

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Comolete question is;

One national survey found that 86 percent of those who were unhappily married but who stayed with the marriage were, when re-interviewed five years later,

A) preparing to divorce

B) resigned to the situation

C) mostly "very" or "quite" happy

D) mostly "very" happy

Answer:

C) mostly "very" or "quite" happy

Step-by-step explanation:

From social psychology, we know that;

Sometimes people could be happy about something but later on as things progress they become satisfied and are happy about that same thing or person.

The same is the case here with marriage and more importantly in this research.

It says they were unhappily married but they stayed in the marriage and were interviewed 5 years after that. Thus, for them to stay that long even after being unhappy, it means that they began to become a bit happy along the line.

Thus, they would gradually become happy or mostly happy.

Given polygons a right triangle and an isosceles triangle sometimes be similar.

As given ,

Given polygons : A right triangle and isosceles triangle.

Polygon a right triangle and isosceles triangle never be similar.

Reason:

Therefore, given polygons a right triangle and an isosceles triangle sometimes be similar.

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the value of x is 1/4

(a) The volume V of the box as a function of x is V = 4x^3-60x^2+200x

(b) The domain of V in interval notation is 0<x<5,

(c) The length L , width W, and height H of the resulting box that maximizes the volume is H = 2.113, W = 5.773, L= 15.773

(d) The maximum volume of the box is 192.421 cm^2.

In the given question,

A box is to be made out of a 10 cm by 20 cm piece of cardboard. Squares of side length cm will be cut out of each corner, and then the ends and sides will be folded up to form a box with an open top.

(a) We have to express the volume V of the box as a function of x.

If we cut out the squares, we'll have a length and width of 10-2x, 20-2x respectively and height of x.

So V = x(10-2x) (20-2x)

V = x(10(20-2x)-2x(20-2x))

V = x(200-20x-40x+4x^2)

V = x ( 200 - 60 x + 4x^2)

V = 4x^3-60x^2+200x

(b) Now we have to give the domain of V in interval notation.

Since the lengths must all be positive,

10-2x > 0 ≥ x < 5 and x> 0

So 0 < x < 5

(c) Now we have to find the length L , width W, and height H of the resulting box that maximizes the volume.

We take the derivative of V:

V'(x) = 12x^2-120x+200

Taking V'(x)=0

0 = 4 (3x^2-30x+50)

3x^2-30x+50=0

Now using the quadratic formula:

x=\(\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

From the equationl a=3, b=-30, c=50

Putting the value

x=\(\frac{30\pm\sqrt{(-30)^2-4\times3\times50}}{2\times3}\)

x= \(\frac{30\pm\sqrt{900-600}}{6}\)

x= \(\frac{30\pm\sqrt{300}}{6}\)

x= \(\frac{30\pm17.321}{6}\)

Since x<5,

So x= \(\frac{30-17.321}{6}\)

x= 2.113

So H = 2.113, W = 5.773, L= 15.773.

d) Now we have to find the maximum volume of the box.

V = HWL

V= 2.113*5.773*15.773

V = 192.421 cm^3

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Answer:

Hey the answer is = 24x

Step-by-step explanation:

An algebraic expression comprises both numbers and variables together with at least one arithmetic operation. To evaluate an algebraic expression you have to substitute each variable with a number and perform the operations included.

HOPE THIS HELPS!

The given numerical expression is simplified to 24.

PEMDAS is an acronym used to mention the order of operations to be followed while solving expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.

The given numerical expression is (3+5)×(4-1).

Solve Parentheses first, that is

8×3

=24

Therefore, the given numerical expression is simplified to 24.

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Answer:

Blue line:  b value: 4  m value: -1/3  Inequality: <     Red Line:  b value: 2  m value: 2  Inequality: >

Step-by-step explanation:

4=-1/3(0)+b

4=b

0=2(-1)+b

0=-2+b

2=b