Question
A company is considering producing some new Gameboy electronic games. Based on past records, management believes that there is a 70 percent chance that each of these will be successful and a 30 percent chance of failure. Market research may be used to revise these probabilities. In the past, the successful products were predicted to be successful based on market research 90 percent of the time. However, for products that failed, the market research predicted these would be successes 20 percent of the time. If market research is performed for a new product, what is the probability that the results indicate a successful market for the product and the product is actually not successful?

Answer:

C.  It is in Quadrant I

D.  It starts at the origin

Step-by-step explanation:

Parent function:  [tex]f(x)=\sqrt{x}[/tex]

Domain: set of all possible input values (x-values)

As the square root of a negative number does not exist in the set of Real Numbers, the domain for the parent function is:

Range: set of all possible output values (y-values)

As the domain of the parent function is x ≥ 0, the range will be:

As the range and domain both begin at zero, the graph of the parent function starts at the origin (0, 0).

Quadrant: a region of the Cartesian plane formed when the x-axis and y-axis intersect each other.

Quadrant I:  (x, y)

Quadrant II:  (-x, y)

Quadrant III: (-x, -y)

Quadrant IV:  (x, -y)

Therefore, as the range and domain of the parent function are positive, the graph is in Quadrant I.

Answer:

1. The data show that skipping breakfast is associated with earning lower exam grades.

2. There is an increase in B's for those who do eat breakfast before the exam.

Domain: (-∞,∞)

Range: (-∞,-3]

Step-by-step explanation:

A quadratic equation graphs a parabola. Therefore there will be arrows on the bottom of the graph as it will go down forever. The domain (min x-values to max x-values) is

(-∞,∞) because the graph keeps on going down and to the right and left. The range (min y-values to max y-values) is (-∞,-3] because the lowest y-value the graph goes to is -∞ nd the highest y-value is -3.

Answer:

Cubic expression

Step-by-step explanation:

Polynomials with a degree of 3 are known as cubics.

Answer:

cubic expression

Step-by-step explanation:

it is cubic when raised to the power of 3

Answer:

Step-by-step explanation:

[tex] \bf {x}^{2} + 5x + 6 = 0[/tex]

Write the equation in factored form.

[tex]\bf (x + 2)(x + 3) = 0[/tex]

Separate equations, and set each factor to zero.

[tex]\bf x + 2 = 0[/tex]

[tex]\bf x + 3 = 0[/tex]

Rearrange and isolate the variable to find the solutions

[tex]\bf x = - 2[/tex]

[tex]\bf x = - 3[/tex]

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

Answer:

x=-3           x=-2

Step-by-step explanation:

x^2 +5x+6 =0

We need to factor the equation

What two numbers multiply to 6 and add to 5

3*2 = 6

3+2 =5

(x+3)(x+2)

Using the zero product property

x+3 =0  x+2 =0

x=-3           x=-2

Answer:

The chain of the length 7 inches weighs 112 ounces.

Step-by-step explanation:

As we know there are 12 inches in a foot and 16 ounces in a pound

That is 1 foot = 12 inches.

and 1 pound = 16 ounces.

Given that the weight of the chain that is 1 foot long = 12 pounds

So weight of the chain per inch is = 12/12

which is equal to 1 pound

and according to the formula 1 pound = 16 ounces

So weight of the chain per inch is =  16 ounces

therefore weight of the chain that is 7 inch long = 7 × 16

that is 112 ounces.

The chain of the length 7 inches weighs 112 ounces.

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The circle equation in polar coordinates is:

   [tex]r - 4*cos(\theta) + 4*sin(\theta) = 0[/tex]

Here we have the circle equation:

[tex](x - 2)^2 + (y + 2)^2 = 8[/tex]

First, we expand it to:

[tex]x^2 - 4x + 4 + y^2 + 4y + 4 = 8[/tex]

Now we can rewrite it as:

[tex]x^2 + y^2 -4x + 4y + 4 + 4 = 8\\\\x^2 + y^2 - 4x + 4y = 0[/tex]

Remember that:

[tex]x^2 + y^2 = r^2\\\\x = r*cos(\theta)\\y = r*sin(\theta)[/tex]

Replacing that, we get:

[tex]x^2 + y^2 - 4x + 4y = 0\\\\r^2 - 4r*cos(\theta) + 4r*sin(\theta) = 0[/tex]

That is the equation in polar form.

Now, because we can discard the solution r = 0, we can divide both sides by r to get:

[tex]r - 4*cos(\theta) + 4*sin(\theta) = 0[/tex]

To simplify it.

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Considering the multiplication of mixed fractions, [tex]\frac{21}{6}[/tex] or 3.5 hours was sunny that day.

To multiply mixed fractions, it is necessary to transform these fractions into improper fractions. To do this, the whole part is multiplied by the denominator of the fraction that accompanies it. The result of the multiplication is added to the numerator of the fraction that accompanies it, and it will be the denominator of the new fraction, while the denominator remains the same.

After transforming the mixed fractions to be multiplied into improper fractions, they are multiplied. To do this, it is necessary to multiply the numerators of the two fractions, and the denominators of the fractions. If the resulting product needs to be simplified to lowest terms, divide the numerator and denominator by common factors.

On a day in winnipeg with 10[tex]\frac{1}{2}[/tex] h of daylight, it was sunny for [tex]\frac{1}{3}[/tex] of that time. This is:

10[tex]\frac{1}{2}[/tex] h × [tex]\frac{1}{3}[/tex]

Solving:

10[tex]\frac{1}{2}[/tex] h × [tex]\frac{1}{3}[/tex] = [tex]\frac{10x2+1}{2}[/tex] × [tex]\frac{1}{3}[/tex] =  [tex]\frac{21}{2}[/tex] × [tex]\frac{1}{3}[/tex] = [tex]\frac{21x1}{2x3}[/tex]= [tex]\frac{21}{6}[/tex]= 3.5

Finally, [tex]\frac{21}{6}[/tex] or 3.5 hours was sunny that day.

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Answer:

83.74

Step-by-step explanation:

First find the amount of the tax

79 * .06

4.74

Add this to the original price

79+4.74

83.74

Step-by-step explanation:

Part A:

So the height is going to be x when you fold the sides up. So that's one part of the volume but for the width it was going to be 4 but since two corners were cut out with the length x the new width is going to be (4-2x). The same thing applies for the length which should be 8 inches but since two corners were removed with the length x it's now (8-2x)

v = x(4-2x)(8-2x)

Part B:

The volume can be graphed although there must be a domain restriction since the height, width, or length cannot be negative. So let's look at each part of the equation

so for the x in front it must be greater than 0 to make sense

for the (4-2x), the x must be less than 2 or else the width is  negative.

for the (8-2x) the x must be less than 4 or else the length is negative

so the domain is going to be restricted to 0 < x < 2 so all the dimensions are greater than 0

By using a graphing calculator you can see the maximum of the given equation with the domain restrictions is 0.845 which gives a volume of 12.317  

Answer:

Last choice, [tex]\sqrt{15}[/tex] is irrational and [tex]\sqrt{0.001}[/tex] is rational

Step-by-step explanation:

Rational Numbers: Any number that can be written as a ratio (or fraction) of two integers, ex. 0.4

Irrational Numbers: A type of real number which cannot be represented as a simple fraction (non ending decimal), ex. 0.4161446

[tex]\sqrt{15} = 3.8729[/tex] making it irrational

[tex]\sqrt{0.001} = 1/1000[/tex] making it rational

Hence, the last choice is correct

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Answer:

π(5²)(13)+⅓π(5²)(12)

Step-by-step explanation:

You can find the volume of the cylinder by:

V=πr²h

which is V1=π(5²)(13)

and the volume of the crooked cone by:

⅓πr²h

which is V2=⅓π(5²)(12)

and you need the volume of the whole shape. you can find by adding V1+V2

Answer:

825

Step-by-step explanation:

hope it helps.good day

The value could the length of the third side will be 11,12,13,15. Options B, D, E, and F are the correct answers.

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

According to the triangle Inequality theorem, any two triangle sides must add up to more than the third side's length.

You may get the potential length of a triangle by multiplying the sum of two sides by the difference between two sides.

Therefore,

Let x is the possible length of the third side of a triangle.

14-4<x<15+4

10<x<19

The values of the third side is lies between the 10 and 19.The value could the length of the third side will be 11,12,13,15

Hence, options B, D, E, and F are the correct answers.

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"For a satellite orbit, the Earth with an elliptical orbit modeled by..." the maximum distance between the satellite and the Earth is

D= 510 km. Option B. This is further explained below.

Generally, In the study of astrodynamics, an ellipse of the satellite is often referred to as a Kepler Orbit

The function of the elliptical orbit is

[tex]\frac{(x-h)^2}{a^2}+\frac{(x-k)^2}{b^2}=1[/tex]

compared to

[tex]\frac{(x^2)^2}{47334400}+\frac{(y^2)^2}{43956900}=1[/tex]

Hence

a = √(47,334,400 km²)

a= 6,880 km.

In conclusion, The distance of the satellite above the Earth's surface.

D = a - r

D= 6,880 km - 6,370 km

D= 510 km

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"For a satellite orbit, the Earth with an elliptical orbit modeled by..." the maximum distance between the satellite and the Earth is D= 510 km. Option B.

An elliptic orbit or elliptical orbit is a Kepler orbit with an eccentricity of less than 1; this includes the special case of a circular orbit, with eccentricity equal to 0.

The function of the elliptical orbit is

[tex]\frac{{(x-h)}^2}{a^2}+ \frac{{(y-k)}^2}{b^2} = 1[/tex]

compared to

  √([tex]\frac{({x^2)}^2}{47,334,400} + \frac{({y^2)}^2}{43956900} = 1[/tex]

a = √(47,334,400 km²)

a= 6,880 km.

Now,

D = a - r

D= 6,880 km - 6,370 km

D= 510 km

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Data set two has the greater variability option (2) Data set two has the greater variability is correct.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]

σ is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observations in the data set.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

Two sets of scores have the same mean, but different standard deviations.

σ₁ and σ₂   (σ₂ > σ₁)

Coefficient of variation  = [SD/(mean)]×100

[tex]\rm CV = \dfrac{\sigma }{|x|}\times100[/tex]

σ₂ > σ₁

Divide by |x| on both sides

σ₂/|x| > σ₁/|x|

[tex]\rm \dfrac{\sigma }{|x_1|}\times100 > \dfrac{\sigma }{|x_2|}\times100[/tex]

(CV)₂ > (CV)₁

Thus, data set two has the greater variability option (2) Data set two has the greater variability is correct.

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Answer:

circumference: 5.65 m

area: 2.54 m

Step-by-step explanation:

here are some relationships between measurements of a circle:

C  = π d

(Circumference = pi · diameter)

A = π r²

(Area = pi · radius²)

[π / pi is the ratio of a circle's circumference to its diameter. this ratio is actually a constant across all circles, which is where we derive our circumference and area formula from. π ≈ 3.14159]

so, let's work on finding the circumference first.

C  = π d

we know the diameter = 1.8,    and we know that π ≈ 3.14159

so, if we multiply these two numbers together, we will get the circumference

[this equation makes sense if you read my explanation of pi]

1.8 × 3.14159 = 5.654862

We can round this number to 5.65

So, the circumference of our circle = 5.65 m

now, let's find the area

A = π r²

we know that π ≈ 3.14159, but we still haven't found "r"

r, or radius, is the measurement from the center of a circle to any point of the circle. Because the diameter is the measurement from one side of a circle to the opposite side, diameter = twice the radius

this means we can take our diameter, 1.8, and divide it by 2 to find our radius.

1.8 / 2 = 0.9

now, we can solve for area.

π ≈ 3.14159 , r = 0.9

A = π r²

A = π (0.9)²

A = (3.14159) (0.81)

A = 2.5446879

we can round this area to 2.54

so, the area of our circle = 2.54 m

Step-by-step explanation:

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Answer:

X = 11

Step-by-step explanation:

Simplifying

X + 24 = 35

Reorder the terms:

24 + X = 35

Solving

24 + X = 35

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-24' to each side of the equation.

24 + -24 + X = 35 + -24

Combine like terms: 24 + -24 = 0

0 + X = 35 + -24

X = 35 + -24

Combine like terms: 35 + -24 = 11

X = 11

Simplifying

X = 11

Answer:

x+24=35

then collect like terms together, which means "x" terms in one side and numbers in one side:

x=35-(+24)

we need to change the signs when ever we change its place, like changing from one side to another

x=35-24

x=11. ✓

The solution to the given non linear system of equation is smallest x value , x = 0 , y = 1 , largest x value  x = 3 , y = 8 .

An Equation is a mathematical statement which relates two algebraic expression with an equal sign in between.

The equations given in the question is

y = 2ˣ

This is an exponential function

-7x +3y = 3

This is a linear function

The equations have been plotted and the solution to the non linear system of equation has been determined

The point at which the graphs intersect is the solution to the system of non -linear equations.

(0,1) and (3,8)

x = 0 , y = 1 ; x = 3 , y = 8

The solution to the given non linear system of equation is smallest x value , x = 0 , y = 1 , largest x value  x = 3 , y = 8 .

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Answer:

Step-by-step explanation:

Answer:

g(f(x)) = 1x² + 1

Step-by-step explanation:

We are given:
f(x) = x² - 1

g(x) = x + 2

And we want to find g(f(x)).

To do this, we substitute f(x) as x in x+2 (the expression that is equal to g(x)), as g(f(x)) is saying that f(x) is the value of x in g(x).

So, this will be:

g(f(x)) = x² - 1 + 2

Simplify

g(f(x)) = x² + 1

In your system, place 1 in front of x² - this is the coefficient of x², and also 1 after that - this is a constant.

Answer:

Height = 132 mt

Step-by-step explanation:

Shadow lengths are proportional to the height of the object.

So, multiply the length of the tree's shadow by your height.

If you are 5 feet (1.5 meters) tall, and the length of  shadow is 88 meters long,

Multiply them together: 1.5 x 88 = 132 mt.

Hence, Height = 132 mt.

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The 2 colors can be chosen in 6 different ways.

Here we need to identify the selections and the numbers of options for each.

Here the selections are:

And the numbers of options for each are:

The total number of combinations is:

C = 3*2 = 6

The 2 colors can be chosen in 6 different ways.

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Answer:

96

Step-by-step explanation:

divide 42/7

=6

6x16=

96

Answer:

The answer is 96 pounds

Step-by-step explanation:

Multiply 16 with 42 and divide it by 7 and you get the answer 96 pounds

The interest rate is 36% per year if the value of a savings account can be found using the equation 300(1.03)²⁴ option (c) is correct.

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

We have:

The value of a savings account can be found using the equation =

= 300(1.03)²⁴

From the function:

F(x) = a(1+r)ˣ

On compare:

1 + r = 1.03

r = 0.03

or

r = 3% monthly

r = 3×12 = 36% yearly

Thus, the interest rate is 36% per year if the value of a savings account can be found using the equation 300(1.03)²⁴ option (c) is correct.

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