If x and y are any random variables with e(x) = 5, e(y) = 6, e(xy) = 21, v(x) = 9 and v(y) = 10, then the relationship between x and y is a:______.

area of the parallelogram is: b x h

12 x 4 = 48 (d)

Answer:

9/4

Step-by-step explanation:

Using the slope formula

m = (y2-y1)/(x2-x1)

    = (1--8)/( 4-0)

    = (1+8)/4

    = 9/4

Answer:

the answer is 6.28 her total is 34.83

Answer:

the answer is 6.28 hope it helps

Answer:

C. s= 85m + 45

Step-by-step explanation:

Given data

She opened the account with $85

and deposited $85

The equation that best models the relationship is

s= 85m + 45

Hence option C is correct

Answer:

The question is asking you to measure it, so I'm assuming you would do so with a ruler and get the exact measurement in centimetres.

Answer:

Let's denote:

The probability that today is Monday: P(A)

The probability that a student is absent: P(B)

The probability that a student is absent given that day is Monday: P(B|A)

As given,

P(A intersect B) = 3/100

P(A) = 1/5

=> P(B|A) x P(A) = P(A intersect B)

=> P(B|A) = P(A intersect B)/P(A)  = (3/100)/(1/5) = 15/100 = 3/20

Hope this helps!

:)

Answer:

x = 7.25

Step-by-step explanation:

2×(2x + 5) = 39

4x + 10 = 39

4x = 29

x = 7.25

We will have a Deficit balance of $30 at the end of the month.

"Unilateral transfer" is the term used to describe the balance of payments deficit's most obvious cause. For instance, Americans who contribute money to another country in the form of foreign aid do not receive anything in return (economically speaking). Few economists would argue that foreign aid-related balance of payment deficits are a "bad thing."

Weekly net income = $380

Monthly net income = $380 * 4 weeks = $1520.

Monthly expenses = $1550

Balance = Monthly income - monthly expenses = $-30.

The negative sign shows a deficit of $30 monthly

Therefore, We will have a Deficit balance of $30 at the end of the month.

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Answer:

400

Step-by-step explanation:

16 x 25 = 400

~ LadyBrain

Fraction 12 over 2 can be used to calculate the rate per second at which the machine launches the balls

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The x axis label is Time in seconds, and the x axis values are from 0 to 10 in increments of 2 for each grid line.

The y axis label is Number of Balls, and the y axis values from 0 to 60 in increments of 12 for each grid line

A line is shown connecting points on ordered pair (2, 12) and (4, 24) and (6, 36) and (8, 48)

m=24-12/4-2

m=12/2

Hence,  fraction 12 over 2 can be used to calculate the rate per second at which the machine launches the balls

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Answer: A

Step-by-step explanation: store B: 32 - 10% = 28.8  and Store A 36- 25% = 27  so the least number is 27 so the answer is A, store A because store B is more expensive after discount. Hoped i help have a nice day

Hey!

Angle 7 and angle 3 are corresponding angles, therefore they are equal. The measure of angle 3 is 114 degrees.

Hope this helps! :D

Answer:

-1 degrees

Step-by-step explanation:

The average = sum of all values/# of values = sum of all temperatures/# of days=

(-3+0+2-1-3)/5=  -1

A percentage is a way to describe a part of a whole. The percentage change in the price of the TV will be 60.2%.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

As it is mentioned that the price of the tv 3 years ago was $500, while the current price of the tv is $199. Therefore, the percentage change in the price of the tv can be written as,

\(\rm Percentage\ change = \dfrac{\text{Initial value - Final value}}{Initial\ value} \times 100\%\)

\(\rm Percentage\ change = \dfrac{\$500-\$199}{\$500} \times 100= 60.2\%\)

Hence, the percentage change in the price of the TV will be 60.2%.

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The domain of g(x) - f(x) is all real numbers, or (-∞, ∞).

What is the domain?

The domain of a function is the set of all possible input values (x-values) for which the function is defined and produces a valid output (y-value). In other words, it is the set of values for which the function is valid and can be used without producing any errors or undefined results.

To perform the function operation g(x) - f(x), we need to subtract the function f(x) from the function g(x).

g(x) = x² - x + 1

f(x) = 4x + 3

g(x) - f(x) = x² - x + 1 - (4x + 3)

g(x) - f(x) = x² - 5x - 2

The domain of a function is the set of all possible input values (x-values) for which the function is defined and produces a valid output (y-value).

For the function g(x) - f(x) = x² - 5x - 2, there are no restrictions on the input values, meaning that any value of x can be plugged into the function to produce a valid output.

Therefore, the domain of g(x) - f(x) is all real numbers, or (-∞, ∞).

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The length of the rectangle is approximately 41.34 inches.

Let's assume the width of the rectangle is represented by the variable w. According to the given information, the length of the rectangle is four less than twice the width, which can be expressed as 2w - 4.

The perimeter of a rectangle is calculated by adding the lengths of all four sides. In this case, the perimeter is given as 128 inches. Since a rectangle has two pairs of equal sides, we can set up the equation:

2w + 2(2w - 4) = 128.

Simplifying the equation, we get:

2w + 4w - 8 = 128,

6w - 8 = 128,

6w = 136,

w = 22.67.

So, the width of the rectangle is approximately 22.67 inches. To find the length, we can substitute this value back into the expression 2w - 4:

2(22.67) - 4 = 41.34.

Therefore, the length of the rectangle is approximately 41.34 inches.

In summary, the length of the rectangle is approximately 41.34 inches. This is determined by setting up a system of equations based on the given information: the perimeter of the rectangle being 128 inches and the length being four less than twice the width.

By solving the system of equations, we find that the width is approximately 22.67 inches, and substituting this value back, we obtain the length of approximately 41.34 inches.

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Here's the Answer :

Answer:

The daily flat rate is 22. The cost per mile is 0.15. The number of miles driven is x, since it is a variable (the number of miles driven can vary, while the flat rate can not).

I do not know where the 0.15x goes. That is your call. It is probably also in cost per mile, or not used at all.

Answer:

p=60

Step-by-step explanation:

p=4(15)

p=60

If probability of winning a teddy bear at a carnival is 0.89 and 40 turns are taken, then he should have won about 35 teddy bears.

The probability of winning a teddy bear at a carnival is = 0.89, then

The probability of not winning a teddy bear is = 1 - 0.89 = 0.11,

We use binomial-distribution to calculate the probability of winning "k" teddy bears in "n" turns,

Where probability of winning (p) = 0.89,

The formula for the binomial distribution is,

⇒ P(k) = C(n,k) × p^k × (1-p)^(n-k),

The probability of winning "k" teddy bears in 40 turns is :

⇒ P(k) = C(40,k) × 0.89^k × 0.11^(40-k),

To find "expected-number" of teddy bears won, we multiply the probability of winning k teddy bears by k, and sum over all possible values of k,

⇒ E(number of teddy bears won) = \(\[ \sum_{k=0}^{40} \]\) k × P(k),

⇒ \(\[ \sum_{k=1}^{40} \]\) k × C(40,k) × 0.89^k × 0.11^(40-k),

On further solving ,

We get,

⇒ E(number of teddy bears won) ≈ 35.6,

Therefore, we expect to win about 35 teddy bears if we take 40 turns .

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Hence, Jim can lay 125 tiles and Pete can lay 25 more so 125+25=150 tiles.

Answer from -chisnau

When x = 5 and Δx = 0.1, the change in y, Δy, is equal to 0.2. The differential of y, dy, is also equal to 0.2.

Firstly, we substitute x = 5 in the equation y = 2√x to find y.

Putting x = 5, we get y = 2√5 = 10.

Now, let's calculate the change in y, Δy, when x = 5 and Δx = 0.1.

The change in y is given by the formula:

Δy = y(x + Δx) - y(x)

Since y = 2x, we have:

y(x + Δx) = 2(x + Δx) = 2x + 2Δx

Substituting the values, we get:

Δy = 2(x + Δx) - 2x = 2Δx

Substituting x = 5 and Δx = 0.1, we get:

Δy = 2(0.1) = 0.2

Therefore, when x = 5 and Δx = 0.1, the change in y, Δy, is equal to 0.2.

Next, let's calculate the differential dy when x = 5 and dx = 0.1.

The differential of y is given by:

dy = (dy/dx) * dx

Since y = 2x, we have:

dy/dx = 2

Substituting x = 5 and dx = 0.1, we get:

dy = 2 * 0.1 = 0.2

Thus , when x = 5 and Δx = 0.1, the change in y, Δy, is equal to 0.2. The differential of y, dy, is also equal to 0.2.

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Therefore , the solution of the given problem of probability comes out to be the likelihood of turning a six is 1/7, or roughly 0.143 or 14.3%.

The assessment of the probability that a claim is true or that a particular event will happen is the main objective of the schemes inside a practise known as criteria. Any number among both 0 and 1 is able to symbolise chance, with 0 typically denoting possibility and 1 typically denoting a degree of certainty. A probability diagram illustrates the likelihood that a particular occurrence will take place.

Here,

Only one of the wheel's seven equally sized regions, which there are a total of seven of, correlates to the number 6.

The likelihood of spinning a 6 on a single rotation is thus:

=> P(six) = 1/7

=>  P(six) = 0.143

Therefore, the likelihood of turning a six is 1/7, or roughly 0.143 or 14.3%.

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The volume of the solid is π (243/5), which corresponds to option 1.

The correct answer is (d) 1 and 3.

To find the volume of the solid formed by rotating the region bounded by the graph of y=x^2, x=3, y=0 around the y-axis, we can use the formula:

V = ∫[a,b] π (f(x))^2 dx

where a and b are the limits of integration (in this case, 0 and 3), and f(x) is the function defining the curve being rotated (in this case, f(x) = x^2).

Using this formula, we get:

V = ∫[0,3] π (x^2)^2 dx

= ∫[0,3] π x^4 dx

= π [x^5/5] from 0 to 3

= π [(3^5/5) - (0^5/5)]

= π (243/5)

So the volume of the solid is π (243/5), which corresponds to option 1.

Option 2 is incorrect because the integral given in that option corresponds to the volume of the solid formed by rotating the region bounded by the graph of y=3-x, x=0, y=0 around the y-axis, not the region defined in the question.

Option 3 is also incorrect because the integral given in that option corresponds to the volume of the solid formed by rotating the region bounded by the graph of y=x^2, x=0, y=9 around the x-axis, not the y-axis as required in the question.

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The equation is 7x+11y+14z=33.

So,

The family of planes equation passing through the intersection of the planes x+2y+3z4=0 and 2x+yz+5=0 is:

It is assumed that the required plane's x-intercept is twice its z-intercept.

Substitute k = 4/5 in equation (1) as follows:

As a result, the required plane's equation is 7x+11y+14z=15.

Also,

7x+11y+14z=15 is the equation of the plane passing through the point (2,3,1) and parallel to the plane.

Therefore, the equation is 7x+11y+14z=33.

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the complete question is given below;
Find the equation of the plane which contains the line of intersection of the planes x+2y+3z−4=0 and 2x+y−z+5=0 and whose x−intercept is twice its z−intercept. Hence, write the equation of the plane passing through the point (2,3,−1) and parallel to the plane obtained above.

A. The domain of an exponential function is all real numbers, so in this case, the domain is (-∞, +∞).

B. The range of this function is (0, +∞).

C. The y-intercept is (0, 0.73).

D. There is a horizontal asymptote at y = 0.

The given function is an exponential function in the form of:

f(x) = a × bˣ

where a = 0.73 and b = 4/7.

Domain:

The domain of an exponential function is all real numbers, so in this case, the domain is (-∞, +∞).

Range:

The range of an exponential function with a base greater than 1 is (0, +∞). Therefore, the range of this function is (0, +∞).

Intercept:

To find the y-intercept, we substitute x = 0 into the function:

f(0) = 0.73 × (4/7)⁰

f(0) = 0.73 × 1

f(0) = 0.73

So, the y-intercept is (0, 0.73).

Asymptote:

For exponential functions of the form y = a × bˣ, where b > 1, there is a horizontal asymptote at y = 0. This means that the graph of the function approaches but never touches the x-axis as x approaches negative or positive infinity.

End Behavior:

As x approaches negative infinity, the function value approaches 0 (the horizontal asymptote) from above. As x approaches positive infinity, the function value grows without bound, getting arbitrarily large but always remaining positive.

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The goal of an optimization problem is to find the maximum or minimum value of an objective function given certain constraints. In this case, the goal of a business owner is often to maximum profit.

The objective function is a method for maximising (or decreasing) something. This something has a monetary value. In the real world, it could be the cost of a project, the quantity of goods produced, the profit value, or even the materials saved as a result of a streamlined process. The objective function is used to try to achieve a target for output, profit, resource use, and so on. We must examine the connections between constraints and any limitations within the business itself. These can include production capacity constraints, resource availability, and even technological limitations.

For instance, from the values of maximum and minimum speed of a train, an engineer will be able to decide on the materials required to withstand the speed, to manufacture brakes for the train to run smoothly. The maximum and minimum value of thyroid in the bloodstream enables the doctor to prescribe the appropriate medicine for the patients to bring down the thyroid levels.

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