how is converting percentages to and from fractions and decimals used in daily life

Answer:

yea yea

Step-by-step explanation:

Answer:

y=2x-7

Step-by-step explanation:

so here's my work

I just plugged stuff in so:

y+1=2(x-3)

y+1=2x-6

y=2x-7

a). The equation will have only one solution, resulting in a line.

b). The equation will have two distinct solutions, leading to the graph displaying two intersecting lines.

We need to consider the equation in the form of a matrix. Let's say we have a matrix A.

a) If det(A) = 0, it means that the determinant of matrix A is equal to zero. In this case, the graph of the equation represented by matrix A will be a line.

This is because a determinant of zero indicates that the matrix is singular, meaning it does not have an inverse. Consequently, the equation will have only one solution, resulting in a line.

b) On the other hand, if det(A) ≠ 0, it means that the determinant of matrix A is not equal to zero. In this scenario, the graph of the equation represented by matrix A will consist of two intersecting lines.

This is because a non-zero determinant signifies that the matrix is nonsingular, implying that it has an inverse. As a result, the equation will have two distinct solutions, leading to the graph displaying two intersecting lines.

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The real root of the equation is x = 40 - 39√2, which gives a value of S = 2231 approximately.

Given,The strength, S, of a wooden beam depends on the width and depth of the rectangular cross-section of the beam, but not on the length of the beam.

For a particular type of wood, the value of S of a beam is proportional to the product of the width and the square of the depth of its cross-section.

The strength of an oak beam is 69, when the beam is 7 inches wide and 3 inches deep.Thus, we can conclude that k, a constant of proportionality exists, such that: S=k(W x D²), where W is the width, D is the depth of the rectangular cross-section and S is the strength of the beam.

Let's use this to calculate k: When the beam is 7 inches wide and 3 inches deep, S=69. Thus, we get:k = S/W x D²=69/(7 x 3²)=1.

Thus, the equation for S becomes:S = W x D²The radius of the oak tree is 28/2 = 14 inches and the beam must be 14 inches wide.

This implies that the rectangular cross-section of the beam must be square (or the largest rectangular cross-section is a square). Let the side of the square cross-section be x.

Thus, we can write:S = x²Diameter, d = 28 inches => radius, r = 14 inchesWe need to determine the depth of the beam. The depth of the beam is half the height of the cylindrical log from which the beam is cut. The cylindrical log has a diameter of 28 inches. The beam has a width of 14 inches.

The largest rectangular cross-section is a square with sides of length x. This cross-section can be obtained by cutting the log at a height of x/2 from its center.Since the diameter is 28 inches, the radius is 14 inches. The height at which the beam is cut is h = 14 - x/2.

Thus, the depth of the rectangular beam cut from the cylindrical log is given by: D = 2(h) = 2(14 - x/2) = 28 - x.Using the relationship S = W x D² with S = 69, W = 14 and k = 1, we can write:x² (28 - x)² = 69Simplifying the above equation,x⁴ - 56x³ + 784x² - 69 = 0.

Using polynomial long division, we get:(x² + 16x - 69)(x² - 40x + 1) = 0The real root of the equation is x = 40 - 39√2, which gives a value of S = 2231 approximately.Therefore, the  answer is (b) S = 2231.

The strength, S, of a wooden beam depends on the width and depth of the rectangular cross-section of the beam, but not on the length of the beam. Let the side of the square cross-section be x. Thus, we can write:S = x²Diameter, d = 28 inches => radius, r = 14 inches. Using the relationship S = W x D² with S = 69, W = 14 and k = 1, we can write:x² (28 - x)² = 69.The real root of the equation is x = 40 - 39√2, which gives a value of S = 2231 approximately.

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The probability that at that time exactly 5 components were operational, given that the system was found operational, is 0.00095.

The probability that a k-out-of-n system is still operational when checked at time t = 3 can be found using the binomial distribution. The binomial distribution is given by:

P(X = x) = (n choose x) * p^x * (1-p)^(n-x)

Where n is the number of trials, x is the number of successes, and p is the probability of success. In this case, n = 8, x = 4, and p = e^(-t^r) = e^(-3^(3/2)) = 0.0183.

Plugging in these values, we get:

P(X = 4) = (8 choose 4) * 0.0183^4 * (1-0.0183)^(8-4) = 0.0002

Therefore, the probability that a k-out-of-n system is still operational when checked at time t = 3 is 0.0002.

For part (b), we need to find the probability that exactly 5 components were operational at time t = 3, given that the system was found operational. This can be found using Bayes' Theorem:

P(A | B) = P(B | A) * P(A) / P(B)

Where A is the event that exactly 5 components were operational, and B is the event that the system was found operational. We already found P(B) in part (a), so we just need to find P(A) and P(B | A).

P(A) is the probability that exactly 5 components were operational, which can be found using the binomial distribution:

P(A) = (8 choose 5) * 0.0183^5 * (1-0.0183)^(8-5) = 1.9e-7

P(B | A) is the probability that the system was found operational, given that exactly 5 components were operational. This is simply 1, since the system is operational as long as at least 4 components are operational.

Plugging in these values into Bayes' Theorem, we get:

P(A | B) = 1 * 1.9e-7 / 0.0002 = 0.00095

Therefore, the probability that at that time exactly 5 components were operational, given that the system was found operational, is 0.00095.

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Answer:

how?

Please Attach Figure so someone can Solve...

Step-by-step explanation:

The quantity of energy moved or transformed per unit of time is referred to as power. The amount of energy that is consumed by the hairdryer in 15 minutes will be 0.3 kWh.

The quantity of energy moved or transformed per unit of time is referred to as power.

Formula: Power = Energy / Time

Units: kW = kWh / hour

The power of electric equipment is given by the formula,

P = E/t

where E is the energy consumed in kWh and t is the time in hours.

Given the power of the hairdryer is 1.200 kW while the time for which it is kept on is 15 minutes, therefore, 0.25 hours. Now, the energy consumed by the dryer in 15 minutes will be,

1.200 kW = E / 0.25

0.3 kWh = E

Hence, the amount of energy that is consumed by the hairdryer in 15 minutes will be 0.3 kWh.

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Answer:

A

Step-by-step explanation:

Every input (x value) can have only ONE ouput (y value) to be a function, y- values can be repeated but x- values cannot

Hope that helps

Answer:

Below

Step-by-step explanation:

Use distance formula  ( which is basically the Pythagorean theorem)

d^2 = ( x1-x2)^2 +(y1-y2)^2    ( it does not matter which you assign as '1' or '2'

d^2 = ( -7-3)^2 + (-4 - -9)^2

d^2 = 125

d = sqrt (125) = 5 sqrt (5)

Use supervised learning with a regression algorithm, specifically Linear Regression, to analyze if placing peanuts near the checkout can lead to a significant increase in profits when a customer buys a six-pack of beers.

The type of machine learning you should use in this scenario is supervised learning, as you mentioned, and the algorithm type would be a regression algorithm.

Regression algorithms are used when the outcome variable is continuous, and they can help predict the relationship between the input features and the continuous outcome variable.
One suitable algorithm for this problem is Linear Regression.

Linear Regression is a simple yet powerful algorithm that can model the relationship between the placement of peanuts and the increase in profits.

By analyzing historical data, the algorithm can learn the relationship between these variables and make predictions for future scenarios.
To summarize, use supervised learning with a regression algorithm, specifically Linear Regression, to analyze if placing peanuts near the checkout can lead to a significant increase in profits when a customer buys a six-pack of beers.

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Answer:

For standard number cubes (1-6), the maximum answer possible is 12

(=6+6)

So, all possible answers are less than 13, giving a probability of 100%.

Answer:

As the largest number possible outcome is (6,6) , and their sum is 12 , less than 13 , we conclude that all the pairs will have sum less than 13.

Thus all the pairs are in the favourable outcomes , and the probability is 1

Answer:

By translating the function cos(x) 90 degrees to the right.

Step-by-step explanation:

The sine function is just the cosine function translated 90 degrees to the right. You can see the visualization below. They overlap.

If you're wondering why the diagram shows a shift in

\(\pi / 2\)

That's just the equivalent to 90 degrees in radians.

Answer:

D

Step-by-step explanation:

D

Answer:

B: Jupiter

Step-by-step explanation:

hope this helps

a) To find the marginal cost, we need to find the derivative of the total cost function with respect to the rate of output (Q).

TC = 100Q - Q² + 0.3Q³

Marginal cost (MC) = dTC/dQ

= d/dQ(100Q - Q² + 0.3Q³)

= 100 - 2Q + 0.9Q²

To find the average cost, we need to divide the total cost by the rate of output (Q).

Average cost (AC) = TC/Q

= (100Q - Q² + 0.3Q³)/Q

= 100 - Q + 0.3Q²

b) To find the rate of output that results in minimum average cost, we need to find the derivative of the average cost function with respect to Q. Then, we set it equal to zero and solve for Q.

AC = 100 - Q + 0.3Q²

dAC/dQ = -1 + 0.6Q

= 0-1 + 0.6Q

= 00.6Q

= 1Q

= 1/0.6Q

≈ 1.67

Therefore, the rate of output that results in minimum average cost is approximately 1.67.

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The cost of 1 liter for the small and medium cans is 4.4 and 2.4.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

As,  

Small can: A 200 ml can costs £0.88.

Medium can: A 500 ml can costs £1.32.

Large can: A 1 litre can costs £3.60.

Now, 200 ml = 0.2 l

500 ml = 0.5 l

For 0.2 l = 0.88

For 1 l= 0.88/0.2

For 1 liter = 4.4

For 0.5l medium can = 1.32

For 1 l medium can= 1.32/0.5

For 1 l medium can = 2.4

Hence, cost of 1 liter for the small can is £ 0.88 the cost of 1 liter for the medium can is £ 2.4.

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Answer:

c.) y=2x+3

Step-by-step explanation:

the slope is 2 and the y-intercept is 3

The sum of two polynomials 4x³ + 2x² - 4x³ and 7x³ - 4x² + 7x + 8 is equal to 11x³ - 2x² + 3x + 8.

To add the polynomials 4x^3 + 2x^2 - 4x + 3 and 7x^3 - 4x^2 + 7x + 8, we first arrange them in descending order of powers of x:

4x^3 + 2x^2 - 4x + 3

7x^3 - 4x^2 + 7x + 8

Adding

11x^3 - 2x^2 + 3x + 11

Therefore, the sum of the two polynomials is 11x^3 - 2x^2 + 3x + 11.

Placing it in the grid:

| 11 | -2 | 3 | 11 |

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Answer:

C 5 miles

D 63 Minutes

Step-by-step explanation:

Make a proportion and solve for the number that you do not know

\(\frac{miles}{minutes}\) = \(\frac{miles}{minutes}\)

\(\frac{27}{3}\) = \(\frac{45}{x}\)  See how 27 divide by 9 is 3?  Divide 45 by 9 to get 5

\(\frac{27}{3}\) = \(\frac{x}{7}\)  This time, see how 3 x 9 is 27, so 7 x 9 is 63

Assuming z is a standard normal random variable, the value of z if the area between -z and z is 0..754 is ±1.16.

To find the value of z for a given area between -z and z in a standard normal distribution, you can follow these steps:

Step 1: Determine the area in one tail of the distribution
Since the area between -z and z is 0.754, the area outside of this range is 1 - 0.754 = 0.246. Since the distribution is symmetrical, the area in each tail is half of this value: 0.246 / 2 = 0.123.

Step 2: Use the standard normal table or a calculator to find the corresponding z-score
You can use a standard normal table (also known as a Z-table) or an online calculator to find the z-score that corresponds to the given tail area. In this case, you need to find the z-score for which the area to the right (in the right tail) is 0.123.

Using a standard normal table or an online calculator, you'll find that the z-score corresponding to a tail area of 0.123 is approximately 1.16.

Therefore, the value of z for which the area between -z and z is 0.754 is approximately ±1.16.

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Answer:

‎

Step-by-step explanation:

‎

The magnetic field generated by the wires at the point (x=4m, y=4m) carrying identical currents of 90A out of the page is 2.50 x \(10^{-6\) T or 2.50 μT.

Hence option b is correct.

According to the given information,

We can use the Biot-Savart Law to calculate the magnetic field generated by these wires at the given point.

Using the formula, we get:

B = (μ0/4π) I [(sinθ1 + sinθ2) / 2] / d,

Where,

μ0 is the permeability of free space (4π x \(10^{-7}\) T m/A),

I is the current (90 A),

θ1 and θ2 are the angles between the wire and the vector pointing from the wire to the given point,

And d is the distance between the wires (8 m).

To find θ1 and θ2, we can use Trigonometry:

θ1 = sin inverse (y/d)

   = sin inverse (4/8) = 30°

θ2 =  sin inverse [(y-d)/d]

     =  sin inverse [(4-8)/8]

     = -30°

Substituting these values into the formula, we get:

B = (4π x \(10^{-7}\) T m/A) 90 A [(sin30° + sin(-30°)) / 2] / 8 m

B = 2.50 x \(10^{-6\)  T

   = 2.50 μT

Therefore, the correct option is (b) 2.50 x  \(10^{-6\)  T (or 2.50 μT).

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The complete question is attached below:

Answer: (a) The possible outcomes and their probabilities are:

Value of x Probability

0 0.6561 (0 F's and 4 S's)

1 0.2916 (1 F and 3 S's, or 2 F's and 2 S's, or 3 F's and 1 S)

2 0.0486 (2 F's and 2 S's)

3 0.0036 (1 S and 3 F's)

4 0.0001 (4 F's and 0 S's)

(b) The most likely value of x is the one with the highest probability, which is x = 0.

(c) The probability that at least two of the four selected homeowners have earthquake insurance is equal to 1 minus the probability that 0 or 1 of them have earthquake insurance:

P(at least 2 of the 4 have earthquake insurance) = 1 - P(x = 0) - P(x = 1)

= 1 - 0.6561 - 0.2916

= 0.0523

Therefore, the probability that at least two of the four selected homeowners have earthquake insurance is 0.0523.

Enjoy!!!!!

Probability distribution of x is calculated by finding probabilities of each possible outcome, the most likely value of x is 0 with a probability of 0.6561, probability of at least two homeowners having earthquake insurance is 0.0523.

(a) The probability distribution of x can be found by calculating the probabilities of each possible outcome (0, 1, 2, 3, 4 homeowners with insurance) and associating them with their respective x values.

Value of x | Probability
--- | ---
0 | (.9)(.9)(.9)(.9) = 0.6561
1 | (.1)(.9)(.9)(.9) + (.9)(.1)(.9)(.9) + (.9)(.9)(.1)(.9) + (.9)(.9)(.9)(.1) = 0.2916
2 | (.1)(.1)(.9)(.9) + (.1)(.9)(.1)(.9) + (.1)(.9)(.9)(.1) + (.9)(.1)(.1)(.9) + (.9)(.1)(.9)(.1) + (.9)(.9)(.1)(.1) = 0.0486
3 | (.1)(.1)(.1)(.9) + (.1)(.1)(.9)(.1) + (.1)(.9)(.1)(.1) + (.9)(.1)(.1)(.1) = 0.0036
4 | (.1)(.1)(.1)(.1) = 0.0001

(b) The most likely value of x is 0, as it has the highest probability (0.6561).

(c) The probability that at least two of the four selected homeowners have earthquake insurance can be found by adding the probabilities of the outcomes with 2, 3, and 4 homeowners with insurance:

P (at least 2 of the 4 have earthquake insurance) = 0.0486 + 0.0036 + 0.0001 = 0.0523

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The rental agency will earn a maximum income of $5,525 when it charges $65 per day.

Let the initial rate be $40 and the number of cars rented be 210.

Let x be the number of $1 increases that can be made in the rate of rent, and y be the number of cars rented.The number of cars rented y is given as

y = 210 - 5x

For each increase of $1 in the rate, the rent charged will be $40 + $1x

Thus, the income I will be given by

I = xy(40 + x)

We need to find the rate that will give maximum income.

We can do this by differentiating the function I with respect to x and equating to zero.

This is because the maximum of a function occurs where the slope is zero.

dI/dx = y(40 + 2x) - x(210 - 5x)

= 0

On solving for x, we getx = 25 and 10/3.

However, x cannot be 10/3 because the number of cars rented has to be an integer.

Thus, the optimal value of x is 25. Substituting this value in the above equations, we get that the optimal rent is $65 per day, and the number of cars rented will be 85.

Therefore, the maximum income will be 85 × 65 = $5,525.

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The smallest possible inside length of the cubical steel tank that can hold 600 L of water is approximately X meters. This calculation is based on the assumption that 1 liter of water occupies 1 cubic decimeter.

To determine the smallest possible inside length of the tank, we need to calculate the volume of the tank and then find the side length of the cube. Given that the tank needs to hold 600 L of water, we can convert this volume to cubic meters by dividing by 1000 (since 1 cubic meter is equal to 1000 liters). So, the volume of the tank in cubic meters is 600/1000 = 0.6 cubic meters.

Since the tank is cubic in shape, the volume can be calculated by raising the length of any side to the power of 3. Let's denote the side length of the cube as 's'. Therefore, we have the equation s^3 = 0.6.

Taking the cube root of both sides, we find s = ∛0.6. Evaluating this expression, we get s ≈ 0.824 m (rounded to three decimal places).

Therefore, the smallest possible inside length of the cubical steel tank that can hold 600 L of water is approximately 0.824 meters.

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Thus, the value of c f · dr. f(x, y) = xi yj c: r(t) = (5t 2)i tj, 0 ≤ t ≤ 1 is found as 2c using the  vector function.

To evaluate c f · dr, we first need to find the vector function of f evaluated along the path r.

Using the given function f(x, y) = xi yj and the path r(t) = (5t^2)i + tj, we can substitute for x and y to get:

f(r(t)) = (5t^2)i * (t)j = 5t^3i + 5tj

Next, we need to find the differential of the path dr, which is:
dr = (10t)i + j dt

Now we can evaluate the dot product of c f and dr:
c f · dr = ∫c f · dr = ∫(c)(5t^3i + 5tj) · (10t)i + j dt, where c is a constant
= ∫(50c t^4) dt + ∫(5c t) dt
= 10c/5 t^5 + 5c/2 t^2 + C

Evaluating this from 0 to 1, we get:
c f · dr = 10c/5(1)^5 + 5c/2(1)^2 - 10c/5(0)^5 - 5c/2(0)^2
= 2c + 0
= 2c

Therefore, the value of c f · dr is 2c.

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One example of a parameter is the typical number of hours each night that the entire group of college-enrolled students sleeps.

Therefore, one example of a parameter is the typical number of hours each night that the entire group of college-enrolled students sleeps.

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The correct question is given below:
A researcher is interested in the sleeping habits of students at the local state college. The average number of hours spent sleeping each night for the entire set of students enrolled at the college is an example of a ____.

Answer:

14.

16.

17.

18.

19.

The probability that every person gets his or her hat back is 1/n!

If each possibility in a sample space S has the same chance of happening, then all of the outcomes are equally likely. The following experiment shows how easy it is to compute the probability of a single result or an event if all outcomes in a sample space S are equally likely.

Think about the sample space for all hat assignments.

This has n! components (n hat picks for the first person, then n - 1 for the second, etc.),

with each occurrence having a chance of 1/n and being equally likely. Calculation is the issue.

The likelihood of a single element occurring, hence the response is 1/n!

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Answer:

The average rate of change from 2 < x < 3 is -3.

Step-by-step explanation:

f(2) = 13

f(3) = 10