how that y is a random variable on ( ; f; p). in other words, prove that f! 2 : y (w) yg2f for all y 2r.

Answer:

y=13x – 2

Step-by-step explanation:

Using the slope intercept form

y= mx + b

Where, m= 13 & b= –2

y= 13x – 2

Answer:

9 tens will be 90 (9x10=90) so there will be 90 ones

Step-by-step explanation:

I think that's what you are asking right?

Answer:

you are 100 percent correct

Answer:

a reflection in the y axis followed by a translation 1 unit down

Step-by-step explanation:

Reflection over the y-axis then a unit down

Answer:

The only possible solutions are 4,5,8

Step-by-step explanation:

The domain is the input and the range is the output

The range  is {4,5,8}

The only possible solutions are 4,5,8

Step-by-step explanation:

Hey there!

The answer is (4,5,8).

Range: The range are generally knwon as y-coordinates.

In questions the function is; (1,4), (2,5), (3,8), the y-coordinates are: (4,5,8).

Hope it helps..

Answer:

Step-by-step explanation:

2x+28<=6x

28<=4x

7<=x

If a tennis ball dropped from 12 inches bounces 8.4 inches, we can set up a proportion to find out from what height it was dropped to bounce 56 inches:

height/dropped = bounce/whatheight

12/1 = 8.4/x (where x is the height from which the ball was dropped to bounce 56 inches)

12x = 470.4

x = 39.2 inches

Therefore, the tennis ball was dropped from a height of 39.2 inches to bounce 56 inches.
To solve this problem, we can set up a proportion using the given information:

(height bounced from 12 inches) / (height dropped from 12 inches) = (height bounced from unknown height) / (unknown height)

(8.4 inches) / (12 inches) = (56 inches) / (unknown height)

Now, cross-multiply and solve for the unknown height:

8.4 * unknown height = 12 * 56
unknown height = (12 * 56) / 8.4

unknown height = 80 inches

So, the tennis ball was dropped from a height of 80 inches to bounce 56 inches.

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Answer:

A: The horizontal asymptote of y = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases.

Step-by-step explanation:

The horizontal asymptote of y = 3.10 represents that the average cost per unit will approach $3.10 as the number of units produced increases.

"Horizontal asymptotes are horizontal lines that the graph of the function approaches as x tends to (+ ∞) or (− ∞). As the name indicates they are parallel to the x-axis.

Vertical asymptotes are vertical lines (perpendicular to the x-axis) near which the function grows without bound."

Given equation for the average cost to make 'x' units is:

f(x) = (200 + 3.10x)/x

We can find the horizontal asymptote in the below mentioned way:

Here, f(x) = (200 + 3.10x)/x

⇒ y = (200 + 3.10x)/x

Now, taking the terms with the biggest exponents of 'x', we get:

⇒ y = (3.10x)/x

Now, the horizontal asymptote can be observed by ignoring the all the 'x': Therefore, y = 3.10

Similarly, we can find the vertical asymptote in the below mentioned way:

The given equation is:

f(x) = (200 + 3.10x)/x

Now, we have to take the denominator as zero.

Therefore, f(x) = (200 + 3.10 x)/0

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Answer: The cold length exceeded by only 20% of cold sufferers is approximately 8.76 days.

Step-by-step explanation:

We need to find the value of the cold length (number of days of symptoms) that is exceeded by only 20% of cold sufferers, which corresponds to the 80th percentile of the normal distribution with a mean of 7.5 days and a standard deviation of 1.5 days.

Using a standard normal table or calculator, we can find the z-score that corresponds to the 80th percentile:

z = invNorm(0.8) = 0.8416

We can then use the formula for z-score:

z = (x - μ) / σ

where x is the cold length, μ is the mean, and σ is the standard deviation.

Substituting the given values, we get:

0.8416 = (x - 7.5) / 1.5

Solving for x, we get:

x - 7.5 = 0.8416 * 1.5

x - 7.5 = 1.2624

x = 8.7624

Therefore, the cold length exceeded by only 20% of cold sufferers is approximately 8.76 days.

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Answer:

Step-by-step explanation: Use pemdas as your help.

It gives you steps you help to answer this question.

Using the concepts of equilateral triangle, we got that 107 square feet is the total surface area of an equilateral triangular pyramid with base side lengths of 6 feet and a height of 10 feet.

We have :

Base (b) = 6 feet

Slant height (l) = 10 feet

The lateral surface area is calculated using:

L = (3/2)× Length × Breadth

So, we have:

   L = (3/2) ×6 × 10

=>L=(3×3×10)

=>L=90 square feet.

The total surface area is calculated using:

T=Lateral surface area of the wall + area of equilateral triangle

=>T=L+ (√3/4)b²

So, we have:

T = 90 + (√3/4)×(6×6)

=>T=90+(3×3×√3)

=>T=90+9√3

=>T=107 square feet (approx)

Hence, the total surface area of an equilateral triangular pyramid with base side lengths of 6 feet and a height of 10 feet is 107 square feet.

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The x-coordinates changed awhile the y-coordinates stayed the same

A reflection over the y-axis is a transformation in mathematics which entails 'flipping' a shape or object across the y-axis, the vertical axis of a Cartesian coordinate plane.

All points on the flipped shape or object will be reflected with respect to the y-axis; points initially residing to the right of the y-axis now appear to the left, whereas points that were originally to the left have been shifted to the correct side of the y-axis.

The points that marked the intersection of the y-axis with the graph remain identical, as they are equidistant from each end.

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Answer:

18 inches

Step-by-step explanation:

\(a=\pi r^2\)

This is the formula for finding the area of a circle. We already know the area, so we'll move the terms in the equation to better fit our purposes.

\(r=\sqrt(\frac{a}{\pi} )\)

Now let's substitute.

\(r=\sqrt(\frac{324\pi}{\pi} )\)

We'll cancel out unnessicary terms:

\(r=\sqrt(324)\)

This gives us the following:

\(r = 18\)

In other words, the radius of the circle is 18 inches (NOT square) :D hope this helps :D

Answer:

c ≈ 6.08 m

Step-by-step explanation:

Your question is how to solve for a missing side length of a triangle when given 2 sides length and an angle. The side length can be solved using the cosine rule . We use cosine rule to find the length of a side of a triangle when given two sides and an included angle.

The cosine rule formula for finding a side length are as follows

c² = a² + b² - 2ab cosC

b² = a² + c² - 2ac cosB

c² = a² + b² - 2ab cosC

Using cosine rule

c² = 4² + 3² - 2 × 4 × 3 cos 120°

c² = 16 + 9 - 24 cos 120°

c² = 25 - 24 (-0.5)

c² = 25 + 12

c² = 37

square root both sides

c = √37

c = 6.0827625303

c ≈ 6.08 m

An ice cube with a lower volume will melt faster than an ice cube with a higher volume. This is because there is the less mass and surface area for the heat to transfer through, causing the ice cube to melt at a quicker rate.

For example, imagine two ice cubes, one with a volume of 2 cubic centimeters and another with a volume of 4 cubic centimeters. The ice cube with the lower volume (2 cubic centimeters) will melt faster than the ice cube with the higher volume (4 cubic centimeters) because there is less mass for the heat to transfer through.  In conclusion, an ice cube with a lower volume will melt faster than an ice cube with a higher volume. This is due to the fact that there is the less mass and surface area for the heat to transfer through, causing the ice cube to melt at a quicker rate.

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Answer: its 1,100

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

1=3

2=6

3=9

The relation is Y=3X

Y20 = 3X20=60

Answer: the 3rd one

Step-by-step explanation:

The median class which contains the middle 50% of the distribution in the survey belongs to the MOST category

Creating a frequency distribution table :

Category ___ Frequency ___ Cummulative frequency

Some ______ 120 _________ 120

A few ______ 181 __________301

Some ______ 264 _________ 565

Most _______517 _________ 1082

All _________257 _________1339

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Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

7y+5+3y+5=70

10y+10=70

10y=60

y=6

7(6)+5= 42+5= 47

3(6)+5= 18 + 5 =23

47+23= 70

Answer:

not factorable

Step-by-step explanation:

To factor a trinomial of the type x^2 + ax + b, you need to find two numbers that add to a and multiply to b.

You have 1x^2 + 9x + 2.

In this case, a = 9 and b = 2.

There are no two integers whose sum is 9 and whose product is 2, so this trinomial is not factorable.

The true statement regarding systematic risk is that c. It cannot be diversified away.

Systematic risk, also known as market risk or non-diversifiable risk, refers to the risk inherent in the overall market or economy. It is not affected by company-specific factors and cannot be eliminated through diversification. Systematic risk impacts the entire market or a specific segment of it, affecting all securities within that market or segment.

On the other hand, unique variance or residual variance (option d) refers to the risk that is specific to an individual company or security. It can be reduced through diversification by spreading investments across different assets to minimize the impact of company-specific events.

Therefore, option c, which states that systematic risk cannot be diversified away, is the correct answer.

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Can be cracked within eight hours by the average hacker.

With spaces included in the character count, 8 characters equals between 1 and 2 words. If spaces are excluded from the character count, 8 characters equals between 1 and 3 words.

There are 8-character passwords with capital letters, lowercase letters, and numerals that begin and end with the same symbol.A password of eight characters with just lowercase and capital letters offers 200 billion potential permutations.“1uppercase” is an example of an 8-character password. This password has one uppercase, one lowercase, one number, and one special character.

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The expected value of a roll of this weighted die is; 13/3 or 4.33

We are given that;

A $6 sided die is weighted.

Probability of any number being rolled is proportional to the value of the roll.

Probability of a $2 being rolled is twice that of a $1 being rolled.

Thus, the expected Value is;

E(x) =  (1*1 + 2*2 + 3*3 + 4*4 + 5*5 + 6*6)/(1 + 2 + 3 + 4 + 5 + 6)

E(x) = 13/3 = 4.33

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Answer:

The jet would Travel 900 miles in 10 hours. The jet travels at 90 miles per hour

Step-by-step explanation:

The distance that could the jet fly in 10 hours is 900 miles.

And, the rate of speed should be 90 miles per hour.

Since A jet travels 450 miles in 5 hours. At this rate

So per hour, it should be

\(= 450\div 5\)

= 90 miles per hour

And, the distance be like

\(= 90 \times 10\)

= 900 miles

Hence, The distance that could the jet fly in 10 hours is 900 miles.

And, the rate of speed should be 90 miles per hour.

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The correct answer is option (c) 2.06.  For every dollar of debt, Blaine and Lindsay have approximately $2.06 in assets

The asset-to-debt ratio for Blaine and Lindsay McDonald can be calculated by dividing their total assets by their total debt. Using the given values, the calculation would be as follows:

Asset-to-debt ratio = Total assets / Total debt

                   = $346,000 / $168,000

The asset-to-debt ratio is a financial metric that provides insight into the financial health and leverage of an individual, company, or entity. It measures the proportion of assets to debt and is used to assess the ability to meet financial obligations and the level of risk associated with the amount of debt.

In this case, Blaine and Lindsay McDonald have total assets valued at $346,000 and total debt of $168,000. By dividing the total assets by the total debt, we obtain the asset-to-debt ratio of approximately 2.06. This means that for every dollar of debt, Blaine and Lindsay have approximately $2.06 in assets. A higher asset-to-debt ratio generally indicates a stronger financial position and lower risk, as there are more assets available to cover the debt obligations.

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Answer:

i hope it helps

Step-by-step explanation:

0.000074

Explanation:

7.4

×

10

−

5

To write in standard notation, move the decimal point on

7.4

over as many times as the power of ten given.

Move to the left if the given power has a negative exponent

Move to the right if the given power has a positive exponent

Therefore:

7.4

×

10

−

5

=

0.000074

A customer would  be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day.

Charge for first 5 charged = $ 4.50

Charge for additional time = $ 0.50 per minute

Starting time = 9:35 p.m.

End time = 11:15 p.m.

Total minutes = 100 minutes

Total charge = 4.50 + (95 x 0.50)

                  = 4.50 + 47.50

                  = 52.00

Hence, a customer would  be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day i.e. for 100 minutes.

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Answer:

28 hours

Step-by-step explanation:

Let the number of hours required to:

Tutor = x

Walk the dog = y

If you are scheduled to tutor for 10 hours during the week

x = 10........ Equation 1

You can earn money by tutoring for $8 per hour and by walking dogs for $7.50 per hour. Create and solve an inequality that represents the number of hours you can walk dogs during the week in order to earn at least $290 for the week

$8 × x + $7.50 × y ≥ $290

8x + 7.50y ≥ 290..... Equation 2

We substitute 10 for x in Equation 2

8(10 ) + 7.50y ≥ 290

80 +7.50y ≥ 290

7.50y ≥ 290 - 80

7.50y ≥ 210

y ≥ 210/7.50

y ≥ 28 hours

The number of hours you can walk dogs during the week in order to earn at least $290 for the week is 28 hours

Answer:

I would find the area of the circle and then find the area of the shape in the middle and then minus that from the area of the whole circle

Answer:

Step-by-step explanation:

1. Find the area of the circle. Area_c = pi * r^2

2.Find the area of the pentagon in terms of the radius Area_P =

3 sqrt(3) r^2 / 2

The answer you want is Area_shade = Area_c - area_P

Area = pi * r^2 - 3 sqrt(3)r^2/2

Area = r^2 (pi - 3 sqrt(3)/2)

The amount of the periodic payment necessary for the deposit to a sinking fund is approximately $18,065.19.

To find the amount of the periodic payment necessary for the deposit to a sinking fund, we can use the formula for the future value of an ordinary annuity. The formula is:

X = A * (1 + r)^nt / [(1 + r)^nt - 1]

Where:

X is the amount needed

A is the periodic payment

r is the interest rate per period

n is the number of compounding periods per year

t is the total number of years

Given the information:

Amount Needed (X) = $85,000

Frequency: Quarterly

Rate (r) = 1.4% (or 0.014 as a decimal)

Time (t) = 5 years

Since the frequency is quarterly, the number of compounding periods per year (n) is 4.

Substituting the values into the formula:

$85,000 = A * (1 + 0.014)^(4*5) / [(1 + 0.014)^(4*5) - 1]

Simplifying the equation:

$85,000 = A * (1.014)^20 / [(1.014)^20 - 1]

To find the value of A, we can rearrange the equation:

A = $85,000 * [(1.014)^20 - 1] / (1.014)^20

Using a calculator or spreadsheet, we can calculate the value of A.

A ≈ $85,000 * 0.298 / 1.350

A ≈ $18,065.19

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