Convert the following units as indicated.1,200 mils to inches (Round answer to the nearest tenth.)

Answer:

x = 2

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × breadth

given the rectangles have equal areas then equating the two areas gives

4x × 9 = 4(6x + 6) , that is

36x = 24x + 24 ( subtract 24x from both sides )

12x = 24 ( divide both sides by 12 )

x = 2

Answer:

pppppppppppppppppppppppppppppppppppppppppp

Answer:

28. B

29. D

30. A

Step-by-step explanation:

28.

2 5/8 yd × 5/6 yd =

= 21/8 × 5/6 yd²

= 105/48 yd²

= 35/16 yd²

= 2 3/16 yd²

Answer: B

29.

2641 becomes 6241.

In 6241, the 6 is in the thousands place.

6 × 1000 = 6000

Answer: D

30.

90 + 7 × (7 - 1) =

Use the correct order of operations.

= 90 + 7 × 6

= 90 + 42

= 132

Answer: A

Answer:297.00

Step-by-step explanation:

There's 2 total decimal places in both numbers.

Ignore the decimal places and complete the multiplication as if operating on two integers.

         3 6

×       8 2 5

+       1 8 0

+       7 2  

+   2 8 8    

=  2 9 7 0 0Rewrite the product with 2 total decimal places.

Answer = 297.00

Therefore:

36 × 8.25 = 297.00

Answer:

  4 minutes

Step-by-step explanation:

You want to know how long it takes to drain a cylindrical tank 1.8 ft in diameter and 3 ft long at the rate of 1.7 ft³/minute. (π = 3.14)

The volume of a cylinder can be found using the formula ...

  V = (π/4)d²h . . . . . . . diameter d, height h

Then the volume of the oil tank is ...

  V = 3.14/4(1.8 ft)²(3 fft) = 7.6302 ft³

The time it takes to empty the tank is found by dividing the volume by the rate:

  (7.6302 ft³)/(1.7 ft³/min) ≈ 4.49 min ≈ 4 min

It will take about 4 minutes to empty the tank.

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The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.

To determine the dividends per share for preferred and common stock for each year, we need to divide the total dividends by the number of shares for each type of stock.

Preferred Stock:

Dividends per share of preferred stock = Total dividends for preferred stock / Number of preferred shares

Year 1:

Dividends per share of preferred stock for Year 1 = $50,000 / 40,000 shares = $1.25

Year 2:

Dividends per share of preferred stock for Year 2 = $90,000 / 40,000 shares = $2.25

Year 3:

Dividends per share of preferred stock for Year 3 = $130,000 / 40,000 shares = $3.25

Common Stock:

Dividends per share of common stock = Total dividends for common stock / Number of common shares

Year 1:

Dividends per share of common stock for Year 1 = ($50,000 - Total dividends for preferred stock) / 100,000 shares = ($50,000 - $50,000) / 100,000 shares = $0

Year 2:

Dividends per share of common stock for Year 2 = ($90,000 - Total dividends for preferred stock) / 100,000 shares = ($90,000 - $90,000) / 100,000 shares = $0

Year 3:

Dividends per share of common stock for Year 3 = ($130,000 - Total dividends for preferred stock) / 100,000 shares = ($130,000 - $130,000) / 100,000 shares = $0

The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.

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Given:

Carolyn and Kim are selling lemonade this summer to raise enough money for a new Bake Oven.

Let the number of cups = x

It costs them $0.10 to make a cup of lemonade.

So, the total cost = 0.1x

They are going to sell each cup of lemonade for $0.25.

So, the total revenue = 0.25x

We need to find the least amount of cups of lemonade they need to sell in order to collect $10.00 more than they spend

so,

solve the inequality to find (x)

The value of (x) is an integer

So, x = 67

so, the answer will be option C. 67

Answer:

C

Step-by-step explanation:

I think, the formatting is a bit weird and I don't see an A option, but 52 and 212 are not mixed numbers, but 2.3 can be written as 2 3/10 and etc so it is!

Answer:

415 miles

Step-by-step explanation:

Start with the speed equation:

speed = distance/time

Now solve the speed equation for distance:

distance = speed × time

Apply the speed equation solved for distance to the two parts of the trip.

4 hours at 55 mph:

distance = 55 mph × 4 hours = 220 miles

3 hours at 65 mph:

distance = 65 mph × 3 hours = 195 miles

Add the two distances to find the total distance:

total distance = 220 miles + 195 miles = 415 miles

Answer: 415 miles

Answer:

415 miles

Step-by-step explanation:

Simon drove 55 miles per hour for 4 hours then 65 miles per hour for 3 hours.

How far did he drive?

d=rt

For the first part of the trip:

d = 55 * 4 = 220 miles

For the second part of the trip:

d = 65*3 =195 miles

Add the miles together

220+195 = 415 miles

Answer:

Sin(2x)+sin(x)+cos(2x)-1

Step-by-step explanation:

Answer:

1.9

Step-by-step explanation:

The ratio of the lengths of the sides of a 45-45-90 triangle is

1:1:√2

The legs are √2 times shorter than the hypotenuse.

x = √7/√2 = 1.9

Answer:

32

Step-by-step explanation:

Totally there are 50 tosses.  

Let the number of tosses which resulted head be x.  

Therefore the number of tosses which resulted tail is 50−x.

We get x×1+(50−x)×(−1)=14

x−(50−x)=14

x−50+x=14

x=32

Answer:

No

Step-by-step explanation:

The wall straight up is one of the legs of the triangle.  That makes the hypotenuse the ladder which is 50 feet.  The hypotenuse needs to be the longest side, but the height of the wall is the longest, so the ladder will not reach the top.

The probability of this occurring is around 0.0714.

In order to determine the likelihood that an adolescent would play the lead role in each of Britney's four films, we must take into account both the total number of possible outcomes and the number of favourable possibilities.

There are 8 films scheduled in total.

Five films have had a teenager as the primary character.

Calculating the ratio of the number of favourable outcomes—all four films with teenagers—to the entire number of possible outcomes—any four films—will help us determine the probability.

The combination formula, sometimes referred to as "n choose r," shows how many different methods there are to choose 4 films from the available 8 options:

\(C(n, r) = n! / (r! * (n - r)!)\)

In this case, we want to select 4 movies out of the 5 movies featuring a teenager:

\(C(5, 4) = 5! / (4! * (5 - 4)!) = 5\)

The total number of ways to select any 4 movies out of the 8 total movies is:

\(C(8, 4) = 8! / (4! * (8 - 4)!) = 70\)

Therefore, the likelihood that a teenager will play the lead role in each of the four films that Britney cleans up after is:

Probability is calculated as follows: 5 / 70 (rounded to four decimal places) = 0.0714 (Number of favourable outcomes / Total number of probable outcomes).

Therefore, the chance is around 0.0714.

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Answer: Its -12

Step-by-step explanation:

In Algebra, a constant is a number on its own.

Answer:

False

Step-by-step explanation:

That's Maths? False though

Answer:

16.896

Step-by-step explanation:

Answer:

16.896

Step-by-step explanation:

Answer:

The value of a and b are 8 and 1 respectively

Step-by-step explanation:

\(f_{x,y}(x,y)=\left\{\begin{matrix}cxy ,\text{if} 0 \leq x \leq y \leq 1\\ 0 , \text{otherwise}\end{matrix}\right.\)

\(\int_{0}^{1}\int_{x}^{1}cxy \text{dy dx}=1\\\\c\int_{0}^{1}x\left ( \frac{y^2}{2}\right )_{x}^{1} \text{ dx}=1\\\\\frac{c}{2}\int_{0}^{1}x\left ( 1-y^2\right )\text{dx}=1\\\\\frac{c}{2}\int_{0}^{1}(x-x^3)\text{dx}=1\\\\\frac{c}{2}\left [ \frac{x^2}{2}-\frac{x^5}{4} \right ]_{0}^1=1\\\\\frac{c}{2}\left [ \frac{1}{2}-\frac{1}{4} \right ]=1\\\\\frac{c}{2}\left ( \frac{1}{4} \right )=1\\\\c=8\)

Conditional pdf of \(f_{x,y}(x|0.5)\)

\(f_{x,y}(x|0.5)=\frac{f_{xy}(x,y=0.5)}{f_{y}y}\)

Normalizing pdf of 1

\(f_{y}y=\int_{0}^{y} 8yx \text{dx}\)

\(f_{y}y=8y[\frac{x^2}{2}]_{0}^{y}\\f_{y}y=4y(y^2)\\f_{y}y=4y^3\\f_{x|y}(x|0.5)=\frac{8x(0.5)}{4(0.5)^3}=\frac{2x}{0.25}=8x\)

We are given that PDF \(f_{x|y}(x|0.5)\) is of the form \(ax^b\)

So, on comparing 8x with \(ax^b\)

So, a = 8 , b = 1

So, the value of a and b are 8 and 1 respectively

The resulting value of a and b given  the conditional PDF of fX|Y(x|0.5) is mathematically given as

a = 8 , b = 1 .

Question Parameters:

a joint PDF of the form fX,Y(x,y)={cxy,0,if 0≤x≤y≤1,

For x∈[0,0.5]

the conditional PDF fX|Y(x|0.5)

Generally, the equation for the function of (x,y)   is mathematically given as

\(f_{x,y}(x,y)=\left\{\begin{matrix}cxy ,\text{if} 0 \leq x \leq y \leq 1\\ 0 ,\end{matrix}\right.\)

Therefore

\(\int_{0}^{1}\int_{x}^{1}cxy \text{dy dx}=1\)

\(c\int_{0}^{1}x\left ( \frac{y^2}{2}\right )_{x}^{1} \text{ dx}=1\)

\(\frac{c}{2}\left [ \frac{x^2}{2}-\frac{x^5}{4} \right ]_{0}^1=1\)

\(\\\\\frac{c}{2}\left ( \frac{1}{4} \right )=1\)

C=8

Where, the conditional PDF fX|Y(x|0.5)

\(f_{x,y}(x|0.5)=\frac{f_{xy}(x,y=0.5)}{f_{y}y}\)

We have

\(f_{y}y=8y[\frac{x^2}{2}]_{0}^{y}\\)

\(f_{y}y=4y^3\)

\(f_{x|y}(x|0.5)=\frac{8x(0.5)}{4(0.5)^3}\)

f_{x|y}(x|0.5)=8x

In conclusion. with the pdf in the form of ax^2

8x comparing ax^b

The value of a = 8 , b = 1 .

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Answer:

Since the exponent for 100,000 is 5 and there are 5 zeroes in the product.

Step-by-step explanation:

Let be \(x = 7 \times 10^{5}\), which is equivalent to 700,000. Where 7 corresponds to the entire value of the scientific notation and 5 corresponds to the exponent of the engineering power and indicates the number of zeroes of this component.

Therefore, since the exponent for 100,000 is 5 and there are 5 zeroes in the product.

The domain and the range of the piecewise function in this problem are given as follows:

The function in this problem is defined for all values of x between -6 and 2, except x = 0, and assumes all values of y between 0 and 6, except y = 1, hence the domain and range are given as follows:

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The volume (V) of a cylinder is π (r^2) (h). Substituting in the known values, you get V = 3.14 times 64 times 8, which is 1607.68 cubic units.

On solving the provided question we can say that As a result, the triangle is resolved.

The study of the relationship between triangle side lengths and angles is known as trigonometry. The concept first originated in the Hellenistic era, during the third century BC, due to the application of geometry in astronomical investigations. The subject of mathematics known as exact techniques deals with certain trigonometric functions and their potential applications in computations. There are six commonly used trigonometric functions in trigonometry. Sine, cosine, tangent, cotangent, secant, and cosecant are their separate names and acronyms (csc). The study of triangle properties, particularly those of right triangles, is known as trigonometry. As a result, geometry is the study of the properties of all geometric shapes.

We now have all of the information we require to solve the triangle. We now have:

a = 55.815 sin(A) (A

b = 55.815 sin(B) (B)

c = 32

A + B + C = 180°

B = 153° - A

To find the values of A and B, we can use a calculator. We get:

A ≈ 83.814°

B ≈ 42.186°

32 / sin(27°) = a / sin(A)

a ≈ 54.482

AB ≈ 54.482

BC ≈ 39.343

AC ≈ 22.414

A ≈ 83.814°

B ≈ 42.186°

C ≈ 27°

As a result, the triangle is resolved.

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The minimum cost is $210.

Forgetting the situation for just a second, we can take a look atthe equation.

c(x)=x^2-40x+610

It is a parabola that opens upward and has a minimum value.

That minimum value will be the minimum cost of the taco stand.

The equation x=-b/2a gives you the axis of symmetry of theparabola. Basically, it goes right down the middle of the parabola,right through its minimum

In the equation  c(x)=x^2-40x+610, a=1 and b=-40

x=-b/2a

x=-(-40/2(1)) = 20

So 20 tacos should be sold to achieve the minimum cost.

To find the cost, return to the original equation.

c(x)=x^2-40x+610

c(20)=(20)^2-40(20)+610 = 210

So the minimum cost is $210.

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line.

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The minimum cost of the function is $210.

A function is defined as the representation of  a set of variables known as the domain which are mapped onto another set of variables called the range.

The most common function is of the form y = f(x) , where x is the independent variable and y is the dependent variable and f(x) is the function.

The given function is of the form:

c(x) = x² - 40 x + 610

To find the maximum or minimum point of the function we find the second degree derivative of the function.

c'(x)=2x -40

Now we find the second degree derivative.

c"(x) = 2 > 0 so we know that c(x) is minimum at x for c'(x)=0.

Therefore c'(x) = 0

or , 2x-40 = 0

or , x = 20

Now the minimum value of the function is

c(20) = 20² - 40 (20) + 610

or, c(20) = 400 - 800 + 610

or, c(20) = 210

Hence the minimum value of the function is $210.

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Answer:

b. 2 outliers, few books

Step-by-step explanation:

Answer:

Step-by-step explanation:

If you look at the data set there is a 9 and a 4! Most of the numbers are in the 90s so they're outliers!

I hope this helps!

Good Luck With Your Work!

- NoahChu~ ✨

Answer:

(a) The probability mass function of X is:

\(P(X=x)={4\choose x}\ (0.33)^{x}\ (1-0.33)^{4-x};\ x=0,1,2,3...\)

(b) The most likely value for X is 1.32.

(c) The probability that at least two of the four selected have earthquake insurance is 0.4015.

Step-by-step explanation:

The random variable X is defined as the number among the four homeowners  who have earthquake insurance.

The probability that a homeowner has earthquake insurance is, p = 0.33.

The random sample of homeowners selected is, n = 4.

The event of a homeowner having an earthquake insurance is independent of the other three homeowners.

(a)

All the statements above clearly indicate that the random variable X follows a Binomial distribution with parameters n = 4 and p = 0.33.

The probability mass function of X is:

\(P(X=x)={4\choose x}\ (0.33)^{x}\ (1-0.33)^{4-x};\ x=0,1,2,3...\)

(b)

The most likely value of a random variable is the expected value.

The expected value of a Binomial random variable is:

\(E(X)=np\)

Compute the expected value of X as follows:

\(E(X)=np\)

         \(=4\times 0.33\\=1.32\)

Thus, the most likely value for X is 1.32.

(c)

Compute the probability that at least two of the four selected have earthquake insurance as follows:

P (X ≥ 2) = 1 - P (X < 2)

              = 1 - P (X = 0) - P (X = 1)

              \(=1-{4\choose 0}\ (0.33)^{0}\ (1-0.33)^{4-0}-{4\choose 1}\ (0.33)^{1}\ (1-0.33)^{4-1}\\\\=1-0.20151121-0.39700716\\\\=0.40148163\\\\\approx 0.4015\)

Thus, the probability that at least two of the four selected have earthquake insurance is 0.4015.

A rectangle that could have a perimeter of 52 feet is a 12 feet by 14 feet rectangle.

The symbols W and L are variables.

The symbol P is a constant.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;

P = 2(L + W)

52 = 2(12 + 14)

52 = 2(26)

52 feet = 52 feet.

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