Answer the following: (10 points) a. Find the area to the right of z= -1 for the standard normal distribution. b. First year college graduates are known to have normally distributed annual salaries wi

Step-by-step explanation:

you need sets of 10?

if yes she could buy 3 episodes and one song

The equation to determine the relationship between the number of songs and number of episodes of TV shows purchased is x + 3y = 10

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let's assume Emily buys x songs and y episodes of TV shows.

Each song costs $1, so x songs will cost her $1x = $x.

Similarly, each episode of TV shows costs $3, so y episodes of TV shows will cost her $3y

According to the problem, Emily wants to spend exactly $10. So, we can set up the following equation:

x + 3y = 10

Now, we need to find a combination of x and y that satisfy this equation.

Let's start by trying some values of x and y. For example, if Emily buys 7 songs, then she will spend $7. She can spend the remaining $3 on one episode of TV show. This gives us:

$x = 7$ and $y = 1$

Plugging these values into the equation, we get:

7 + 3(1) = 10

So, Emily can buy 7 songs and 1 episode of TV show for exactly $10

Another possible combination is:

$x = 4$ and $y = 2$

Plugging these values into the equation, we get:

4 + 3(2) = 10

So , Emily can buy 4 songs and 2 episodes of TV show for exactly $10

Hence , Emily has at least two options to spend exactly $10: buying 7 songs and 1 episode of TV show, or buying 4 songs and 2 episodes of TV show.

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The complete question is attached below :

Answer:

normally they'll be the same length, or you can multiply one line by a number to get the other line

Answer:

A line is proportional if the y-intercept is at 0,0. So your equation might look like y=4x. But it can't be y=4x+1. Since then the y intercept is at 0,1.

The bottom is moving at a rate of \(4\sqrt{3}\) ft/s along the ground when the botton of the ladder is at a distance of 6 ft from the wall.

Here we have been mentioned that a 12 feet ladder is leaning against the wall which is represened by AC in the below given triangle.

We have AB = y = distance of top of the ladder from the wall

BC = x = distance of bottom of the ladder from the wall

AC = z = height of the ladder = 12 ft (given)

The top of the ladder AB is sliding down at a rate of 4 \(ft/s\)

∴ \(\frac{dy}{dt}\) = - 4 ft/s (negative sign indicates that the top is sliding downwards)

Let the rate at which the bottom of the ladder is sliding be \(\frac{dx}{dt}\)

Now in the right angled triangle \(ABC\) by using Pythagoras theorem we have,

\(AB^{2} + BC^{2} =\)\(AC^{2}\)

\(y^{2} +x^{2} = z^{2}\)    (equation 1)

When x = 6ft and z = 12 ft,

\(y^{2} +6^{2} = 12^{2}\)

⇒ \(y^{2} = 144 - 36\)

⇒ \(y^{2} = 108\)

⇒ y = √108

⇒ y = 6 √3 ft

Differentiating equation 1 with respect to \(time\) we get,

\(\frac{d}{dt} (y^{2} +x^{2} ) = \frac{d}{dt} (z^{2})\)

⇒ 2y\(\frac{dy}{dt}\) + 2x\(\frac{dx}{dt}\) = 2z\(\frac{dz}{dt}\)

Putting the values of dz/dt = 0 (as the height is constant) , dy/dt = - 4 ft/s , y = 6 √3 ft, x = 6ft and z = 12ft we have,

∴ 2(6√3) (-4) + 2(6)\(\frac{dx}{dt}\) = 2(12)(0)

⇒ -48√3 + 12\(\frac{dx}{dt}\) = 0

⇒ 12\(\frac{dx}{dt}\) = 48√3

⇒ \(\frac{dx}{dt} = \frac{48\sqrt{3} }{12}\)

⇒ \(\frac{dx}{dt} = 4\sqrt{3}\) ft/s

Hence the rate at which the bottom of the ladder is sliding is \(\frac{dx}{dt} = 4\sqrt{3}\) ft\s

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Answer: a prediction of the number of hot cocoas sold when the temperature is 0F

Step-by-step explanation: i did it on delta math

The line's y-intercept represent ''Number of hot cocoas sold''.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Chloe has a part-time job at an ice skating rink selling hot cocoa.

She decided to plot the number of hot cocoas she sold relative to the day's high temperature and then draw the line of best fit.

Now,

Since, She decided to plot the number of hot cocoas she sold relative to the day's high temperature and then draw the line of best fit.

Hence, By the graph we have;

The line's x - intercept represent ''Temperature''.

And, The line's y-intercept represent ''Number of hot cocoas sold''.

Thus, The line's y-intercept represent ''Number of hot cocoas sold''.

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$167,925 is the total value of the plumber's liabilities

To find the total value of the plumber's liabilities

we need to add up the amounts of the mortgage, credit card balance, and kitchen renovation loan.

Total liabilities = Mortgage + Credit card balance + Kitchen renovation loan

Total liabilities = $149,367 + $6,283 + $12,275

Total liabilities = $167,925

so the total value of the plumber's liabilities is $167,925.

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Answer:

Step-by-step explanation:

-25/40 + -64/40

-89/40

-2 9/40

Answer:

y = 33.94 mm

x = 19.80 mm

Step-by-step explanation:

Because AC = CB, then ∠ABC = 45°

cos ∠ABC = 24/y

cos 45° = 0.7071 = 24/y

y = 33.94 mm

EF/BC = x/y

14/24 = x/33.94

24x = 475.16

x = 19.80 mm

Random assignment is the process of placing research participants into the conditions of an experiment in such a way that each participant has an equal chance of being assigned to any level of the independent variable.

Random assignment helps to ensure that the groups being compared in an experiment are equivalent at the start of the study, minimizing the influence of confounding variables and increasing the internal validity of the research.

By randomly assigning participants to different conditions, researchers can infer that any observed differences between groups after the experiment are due to the manipulation of the independent variable rather than preexisting differences between the groups.

Random assignment can be achieved through various methods, such as using random number tables, computer-generated randomization, or random assignment software.

It is an important aspect of experimental design and helps to strengthen the causal inferences that can be drawn from the research findings.

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Answer:

Step-by-step explanation:

Tim has $7.14 to spend on candy that costs $3 per pound. Moby has $6.96 to spend on candy that costs $2.90 per pound. Which of the following is true?

A) Tim can't buy more than two pounds of candy

B) Moby can buy more candy than Tim

C) Tim can afford more candy than Moby

D) They can buy the exact same amount of candy

Correct Answer: Moby can buy more candy than Tim

Answer:

one is plus + and the other is mines -

Step-by-step explanation:

When an A proposition is false, the truth-value of the E proposition is correct, truth-value of the I proposition is undetermined, and truth-value of the O proposition is true according to the square of opposition.

If an A proposition is false, then the corresponding E proposition is correct. The universal negative E proposition states that "none" of the members of a group has a certain attribute.  A proposition means that not all members of a group have a certain attribute, hence none have the characteristic that the E proposition denies.

If an A proposition is false, the corresponding I proposition's truth-value is undetermined. According to the square of opposition, the I proposition, which is a particular affirmative proposition, is obverse of E proposition. Hence, the truth value of the I proposition is always undecided, i.e., it can be true or false.

If an A proposition is false, the corresponding O proposition is true. According to the square of opposition, the O proposition is the contrapositive of the A proposition. The negative O proposition argues that there are members of a group that do not possess a specific characteristic.

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To visualize this transformation, imagine a rectangle with vertices at and (0,2). Applying the transformation (x,y) →  \((3x,3y)\) to each vertex, we get a new rectangle with vertices at   \((0,0), (3,0), (3,6),\) and \((0,6)\), which is three times the size of the original rectangle.

Algebraic representations can take many forms, including equations, inequalities, functions, and matrices. These representations provide a powerful tool for analysing complex systems and deriving meaningful insights from them.

The algebraic representation \((x,y) (3x,3y)\) describes a dilation transformation, specifically an enlargement or stretch by a scale factor of 3 in both the x and y directions.

This means that every point in the original figure is multiplied by 3 in both the x and y directions, resulting in a larger, similar figure.

To visualize this transformation, imagine a rectangle with vertices at  \((0,0), (1,0), (1,2),\)  and   \((0,2).\) Applying the transformation (x,y) → (3x,3y) to each vertex, we get a new rectangle with vertices at \((0,0), (3,0), (3,6),\)  and (0,6), which is three times the size of the original rectangle.

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Answer:

x= 3/2

x= 1/5

Step-by-step explanation:

Step-by-step explanation:

-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4

The only option that represents the correct repeating decimal is; Option C; 0.35 + 0.0035 + 0.000035

We want to find the option that is equal to the repeating decimal 0.353535.

Option A; 35 + 0.35 + 0.0035

When we add the above, we arrive at 35.3535 which is not equal to 0.353535. Thus, option A is incorrect.

Option B; 0.0035+ 0.000035 + 0.00000035

When we add the above, we arrive at 0.00353535 which is not equal to 0.353535. Thus, option B is incorrect.

Option C; 0.35 + 0.0035 + 0.000035

When we add the above, we arrive at 0.353535 which is not equal to 0.353535. Thus, option C is correct.

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Answer:

1.) C - 0.35+0.0035+0.000035+...

2.) The first term of the geometric series is 0.35.

3.) The common ratio of the geometric series is 0.01

4.) The simplified fractional representation of 0.353535... is 35 / 99

Step-by-step explanation:

Edge

Answer:

D. all real numbers

Answer:6x-2y=8

Step-by-step explanation:

\(\left \{ {{3x-y=4} \atop {Ax-By=8}} \right. \\\frac{3x}{Ax} =\frac{y}{By} =\frac{4}{8}=\frac{1}{2}\\\frac{3}{A} =\frac{1}{2}\\A=6\\\frac{1}{B} =\frac{1}{2}\\B=2\\so, 6x-2y=8\)

Answer:

6x - 2y = 8                            

Step-by-step explanation:

If:

3x - y = 4

⇒ 4* 2 = 8

then:

3*2 = 6

-1 * 2 = -2

The answer is:

6x - 2y = 8

The required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Let 'a' be the cost per gallon of fuel in the year 2000, and 'b' be the inflation rate per year. If the rate of inflation is constant then
After 7 year inflation = 7b
Cost of fuel in 2007 = a + 7b

Now,
according to the question
Change in cost of fuel
= cost in 2007 - cost in 2000
= a + 7b - a
= 7b

Thus, the required, in 2007 the price per gallon was 7b more than the price of a gallon of fuel in the year 2000. Where b is the inflation factor.

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A data set or distribution with high variability indicates that the values are more diverse or have larger differences between them, while a data set or distribution with low variability indicates that the values are closer together or have smaller differences.

When we say that one data set or distribution has more variability than another, it means that the values in that data set or distribution are more spread out or dispersed compared to the other.

In other words, there is a greater range between the minimum and maximum values. Variability is often measured using statistical measures such as the range, variance, or standard deviation.

A data set or distribution with high variability indicates that the values are more diverse or have larger differences between them, while a data set or distribution with low variability indicates that the values are closer together or have smaller differences.

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Answer:

a.

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

So, I would've done it 4 x 4 x 6 or 6(4²) but whatever, you get the same answer

Answer:

9+10 is 19 i-

Step-by-step explanation:

Answer:

105 degrees

Step-by-step explanation:

Find angle F:

the sum of angles of triangle =180

62+43+y=180

105+y=180

y=75

straight line = 180 degrees

75+x=180

x=105 degrees

Step-by-step explanation:

I can give you a formula SOH-Sinø=Opposite\Hypotenuse

CAH-Cos=Adjacent\Hypotenuse

TOA-Tan=Opposite\Adjacent

Answer:

- 2

Step-by-step explanation:

Answer:

3750

Step-by-step explanation:

50*70=35005

5*50=250

The six main criteria to define normality and abnormality include statistical infrequency, personal distress, others' distress, unexpected behavior, highly consistent/inconsistent behavior, and maladaptiveness/disability.

1. Abnormality as statistical infrequency: This criterion defines abnormality based on behaviors or characteristics that deviate significantly from the statistical norm.

2. Abnormality as personal distress: This criterion focuses on the individual's subjective experience of distress or discomfort. It considers behaviors or experiences that cause significant emotional or psychological distress to the person as abnormal.

For instance, someone experiencing intense anxiety or depression may be considered abnormal based on personal distress.

3. Abnormality as others' distress: This criterion takes into account the impact of behavior on others. It considers behaviors that cause distress, harm, or disruption to others as abnormal.

For example, someone engaging in violent or aggressive behavior that harms others may be considered abnormal based on the distress caused to others.

4. Abnormality as unexpected behavior: This criterion defines abnormality based on behaviors that are considered atypical or unexpected in a given context or situation.

For instance, if someone starts laughing uncontrollably during a sad event, their behavior may be considered abnormal due to its unexpected nature.

5. Abnormality as highly consistent/inconsistent behavior: This criterion involves comparing an individual's behavior to both their own typical behavior and the behavior of others. Consistent or inconsistent patterns of behavior may be considered abnormal.

For example, if a person consistently engages in risky and impulsive behavior, it may be seen as abnormal compared to their own usually cautious behavior or the behavior of others in similar situations.

6. It considers behaviors that are maladaptive, causing difficulties in personal, social, or occupational areas. For instance, someone experiencing severe social anxiety that prevents them from forming relationships or attending school or work may be considered abnormal due to the disability it causes.

The medical model and classification systems used in physical illnesses have both value and limitations when applied to psychological disorders. They provide a structured framework for understanding and diagnosing psychological disorders, allowing for standardized assessment and treatment. However, they can oversimplify the complexity of psychological experiences and may lead to overpathologization or stigmatization.

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Answer:

Step-by-step explanation:

finding the smallest possible distance from the line to the origin follows as

the normal vector=(-1,-2,1)

using direction vector we need to create the equation of the plane

-1(x-2)-2(y-3)+1(z+7)=0

we get;

-x+2-2y+6+z+7=0

-x-2y+z+13=0

x=2-t; y=2-3t; z=-7+t

on substituting;

-1(2-t)-2(3-2t)+1(-7+t)+13=0

-2+t-6+4t-7+t+13=0

we get;

t=1

so point is(1,1,-6)

distance from point to origin

d=\(\sqrt{(1^2+1^2+(-6)^2)}\)=\(\sqrt{38}\)

therefore

the answer is \(\sqrt{38}\)=6.16

The probability of the sample having a average gas mileage between 27 and 29 miles per gallon will be 0.0116.

What is a normal distribution?

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

In 2015, new cars had an average fuel efficiency of 27.9 miles per gallon with a standard deviation of 6.8 miles per gallon. a sample of 30 new cars is taken.

Then the probability the sample has a mean gas mileage between 27 and 29 miles per gallon will be

The value of the z-score at x = 27, we have average as

The value of the z-score at x = 29, we have

z= 0.16

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a. The package takes 0 seconds to reach the ground. This means it hits the ground instantaneously.

b.  The package hits the ground with a speed of 0 m/s.

(a) To find the time it takes for the package to reach the ground, we can use the equation of motion:

h = ut + (1/2)gt^2

where h is the initial height (78 m), u is the initial velocity (0 m/s since the package is dropped), g is the acceleration due to gravity (-9.8 m/s^2), and t is the time.

Setting h to 0 (ground level), we have:

0 = (1/2)(-9.8)t^2

Simplifying the equation, we get:

4.9t^2 = 0

This equation indicates that t = 0 is a solution, but we are interested in the positive time when the package reaches the ground. Therefore, we ignore t = 0 and solve for t when the equation is equal to zero:

t^2 = 0

Taking the square root of both sides, we have:

t = 0

Therefore, the package takes 0 seconds to reach the ground. This means it hits the ground instantaneously.

(b) Since the package falls freely under the influence of gravity, its final speed when it hits the ground can be calculated using the equation:

v = u + gt

where v is the final velocity, u is the initial velocity (0 m/s), g is the acceleration due to gravity (-9.8 m/s^2), and t is the time taken to reach the ground (0 seconds, as determined in part (a)).

Substituting the values into the equation, we get:

v = 0 + (-9.8)(0)

v = 0

Therefore, the package hits the ground with a speed of 0 m/s.

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