Find 4/5 of 6/9 in simplest form

Answer:

p =1 0

Step-by-step explanation:

x³(x - y)⁹ - y³(x - y)⁹ = (x - y)⁹[x³ - y³]

= (x - y)⁹(x - y)(x² + y² + xy)

= (x - y)¹⁰(x² + y² + xy)

where p = 10 and q = 1

Answer:

p = 10

Step-by-step explanation:

Given expression:

\(x^3(x-y)^9 - y^3(x-y)^9\)

Factor out the common term (x - y)⁹:

\((x-y)^9(x^3- y^3)\)

\(\boxed{\begin{minipage}{5cm}\underline{Difference of two cubes}\\\\$x^3-y^3=(x-y)(x^2+y^2+xy)$\\\end{minipage}}\)

Rewrite the second parentheses as the difference of two cubes.

\((x-y)^9(x-y)(x^2+y^2+xy)\)

\(\textsf{Apply\:the\:exponent\:rule:} \quad a^b\cdot \:a^c=a^{b+c}\)

\((x-y)^{9+1}(x^2+y^2+xy)\)

\((x-y)^{10}(x^2+y^2+xy)\)

Comparing the rewritten original expression with the given expression:

\((x-y)^{10}(x^2+y^2+xy)=(x-y)^p(x^2+y^2+qxy)\)

We can see that \((x-y)^p\) corresponds to \((x-y)^{10}\) in the given expression.

Therefore, we can conclude that p = 10.

a) To find f(x) x g(x), we need to multiply the two functions:

f(x) x g(x) = (-2x + 4) x (-6x - 7)

Expanding the product, we get:

f(x) x g(x) = 12x^2 + 26x - 28

So f(x) x g(x) = 12x^2 + 26x - 28.

b) To find f(g(4)), we need to first evaluate g(4):

g(4) = -6(4) - 7

g(4) = -31

Then we can substitute this value into the expression for f(x):

f(g(4)) = f(-31)

Using the expression for f(x), we get:

f(g(4)) = -2(-31) + 4

f(g(4)) = 66

So f(g(4)) = 66.

The error in finding the perimeter of the rectangle is that the length was not calculated correctly, as it is of 5 units.

The perimeter of a rectangle of dimensions l and w is given by:

P = 2l + 2w.

From the graph, the dimensions are given as follows:

Hence the perimeter is:

P = 2l + 2w = 2(5) + 2(3) = 16 units.

The calculated length was of 4, hence the error in finding the perimeter of the rectangle is that the length was not calculated correctly, as it is of 5 units.

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Answer:

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Answer: P=$7,1333.33

Step-by-step explanation:

Equation: P=A/(1+rt)

The Pythagorean theorem consists of a formula a^2+b^2=c^2 which is used to figure out the value of (mostly) the hypotenuse in a right triangle.

The answer would be c = 90

The probability that a bus chosen at random has a working radio given that it is ready for service is approximately 85.3%

How to find the probability of a bus having a working radio given that it is ready for service?

We can use Bayes' theorem to find the probability of a bus having a working radio given that it is ready for service,

P(radio | ready) = P(ready | radio) * P(radio) / P(ready)

where

P(radio | ready) is the probability that a bus has a working radio given that it is ready for service.

P(ready | radio) is the probability that a bus is ready for service given that it has a working radio.

P(radio) is the probability that a bus has a working radio.

P(ready) is the probability that a bus is ready for service.

From the given information, we know that:

P(ready) = 0.84

P(radio | ready) = 0.67

To find P(ready | radio), we can use the formula:

P(ready | radio) = P(ready and radio) / P(radio)

From the given information, we know that:

P(ready and radio) = P(radio | ready) × P(ready) = 0.67 × 0.84 = 0.5628

To find P(radio), we can use the law of total probability:

P(radio) = P(radio | ready) × P(ready) + P(radio | not ready) × P(not ready)

We can assume that if a bus is not ready for service, it doesn't matter if it has a working radio or not. So we can simplify the equation to:

P(radio) = P(radio | ready) × P(ready) + P(radio | not ready) × (1 - P(ready))

From the given information, we know that:

P(radio | ready) = 0.67

P(ready) = 0.84

We don't have information about P(radio | not ready), but we can assume that it is lower than P(radio | ready) since a bus that is not ready for service is more likely to have a broken radio. Let's assume P(radio | not ready) = 0.3.

Then, we can calculate,

P(radio) = 0.67 × 0.84 + 0.3 × (1 - 0.84) = 0.6596

Now, we want to find P(radio | ready),

P(radio | ready) = P(ready | radio) × P(radio) / P(ready)

P(ready | radio) = P(ready and radio) / P(radio) = 0.5628 / 0.6596 = 0.853

Therefore, the probability that a bus chosen at random has a working radio given that it is ready for service is approximately 85.3% (rounded to the nearest tenth of a percent).

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The probability that a bus chosen at random has a working radio given that it is ready for service is approximately 85.3%

How to find the probability of a bus having a working radio given that it is ready for service?

We can use Bayes' theorem to find the probability of a bus having a working radio given that it is ready for service,

P(radio | ready) = P(ready | radio) * P(radio) / P(ready)

where

P(radio | ready) is the probability that a bus has a working radio given that it is ready for service.

P(ready | radio) is the probability that a bus is ready for service given that it has a working radio.

P(radio) is the probability that a bus has a working radio.

P(ready) is the probability that a bus is ready for service.

From the given information, we know that:

P(ready) = 0.84

P(radio | ready) = 0.67

To find P(ready | radio), we can use the formula:

P(ready | radio) = P(ready and radio) / P(radio)

From the given information, we know that:

P(ready and radio) = P(radio | ready) × P(ready) = 0.67 × 0.84 = 0.5628

To find P(radio), we can use the law of total probability:

P(radio) = P(radio | ready) × P(ready) + P(radio | not ready) × P(not ready)

We can assume that if a bus is not ready for service, it doesn't matter if it has a working radio or not. So we can simplify the equation to:

P(radio) = P(radio | ready) × P(ready) + P(radio | not ready) × (1 - P(ready))

From the given information, we know that:

P(radio | ready) = 0.67

P(ready) = 0.84

We don't have information about P(radio | not ready), but we can assume that it is lower than P(radio | ready) since a bus that is not ready for service is more likely to have a broken radio. Let's assume P(radio | not ready) = 0.3.

Then, we can calculate,

P(radio) = 0.67 × 0.84 + 0.3 × (1 - 0.84) = 0.6596

Now, we want to find P(radio | ready),

P(radio | ready) = P(ready | radio) × P(radio) / P(ready)

P(ready | radio) = P(ready and radio) / P(radio) = 0.5628 / 0.6596 = 0.853

Therefore, the probability that a bus chosen at random has a working radio given that it is ready for service is approximately 85.3% (rounded to the nearest tenth of a percent).

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Answer:

33 , 39

Step-by-step explanation:

given

9 , 15 , 21 , 27

there is a common difference between consecutive terms, that is

15 - 9 = 21 - 15 = 27 - 21 = 6

to obtain terms in the sequence add 6 to the preceding term

27 + 6 = 33

33 + 6 = 39

the next two terms are 33 and 39

Bill is about 49 years old.

Answer:

7

Step-by-step explanation:

67 + 17 = 84

84/12 = 7

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

step 1

100%/the total number = percent for one probability

100/5 = 20%

2 and 4 is even.

total even number * percent for one probability = total percent for even number

20% * 2 = 40%

therefore total even number is 40%

The probability is:

Step-by-step explanation:

Remember the formula for probability:

\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)

In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.

As for the total outcomes, there are 5 of them, because we have 5 numbers total.

So the probability of choosing an even number is 2/5.

There are X automobiles, with a mean of 12.5 cars. The standard deviation for X is also SD = 12.0.

First, a data set's mean and standard deviation convey distinct information. The average (center) of a data collection is provided by mean (it is a measure of central tendency). You may learn about the range (dispersion) of data around the mean by looking at the standard deviation. We may investigate a data set's characteristics and characterize it using both the mean and standard deviation. To provide confidence intervals for data that has a normal distribution, they are frequently combined. If two or more data sets need to be compared:

The mean reveals whether data set is, on average, greater or lower (or better or worse). We can determine whether data set has a wider dispersion using the standard deviation (higher standard deviation means data is more spread out from the mean). Second, there are variations in how each metric is calculated. In particular, we utilize squaring to get the standard deviation but not the mean. We completely avoid using squaring when determining the mean of a data collection. Simply multiplying the total number of data points in the set by the sum of all the values in the data set yields the answer.

The mean is calculated as follows:

Mean = (all data values added together) / (number of data values)

However, when calculating standard deviation, we do employ squaring. We take the square of the deviation between each data point and the mean in particular.

The standard deviation equation is as follows:

Finally, when we add the identical value to each data point in the data set, the mean and standard deviation "respond" differently. If we multiply every value in a data collection by the constant "K":

No of the size of the data collection, the mean rises by precisely K.

No matter how many observations are in the data collection, the standard deviation does not vary. The identical value is then added.

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Answer:

 Slope = 4.000/2.000 = 2.000

 x-intercept = 6/2 = 3

 y-intercept = -6/1 = -6.00000

Step-by-step explanation:

Step by step solution :

Step  1  : Equation of a Straight Line

Graph of a Straight Line

Calculate the Y-Intercept

Calculate the X-Intercept

Calculate the Slope

Answer for y=2x-6  is below

Answer:  

Slope = 4.000/2.000 = 2.000

 x-intercept = 6/2 = 3

 y-intercept = -6/1 = -6.00000

Hope this helps.

Answer

The graph is not a​ function therefore it does not have intercepts

Given

Use the graph to find any symmetry with respect to the​ x-axis, y-axis, origin.

Solution

From the graph

The graph is not a​ function therefore it does not have intercepts

Answer:

x = 4\(\sqrt{3}\)

Step-by-step explanation:

using the cosine ratio in the right triangle and the exact value

cos30° = \(\frac{\sqrt{3} }{2}\) , then

cos30° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{x}{8}\) = \(\frac{\sqrt{3} }{2}\)  ( cross- multiply )

2x = 8\(\sqrt{3}\) ( divide both sides by 2 )

x = 4\(\sqrt{3}\) ( exact value )

Step-by-step explanation:

SOHCAHTOA

CAH-

Cosine●= adj/hyp

cos30= y/8

0.8660=y/8

Cross multiply

0.8660×8=y

y=8×0.8660

y=6.928

Answer:To evaluate the function for f(2), we simply substitute x = 2 into the function

:f(2) = 8(2) + 7

Simplifying the expression:

f(2) = 16 + 7f(2) = 23

Therefore, f(2) = 23.

Step-by-step explanation:

If we divide 300 into parts using the ratio 2:3:5, we get:

2 parts = 2/10 of the total ratio = 2/10 x 300 = 60

3 parts = 3/10 of the total ratio = 3/10 x 300 = 90

5 parts = 5/10 of the total ratio = 5/10 x 300 = 150

Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.

I hope I helped!

~~~Harsha~~~

Answer:

part 1. 29

part 2. 17

part 3. 493

Answer:

48 meals

Step-by-step explanation:

36lbs ÷ 3/4lbs = 48

Answer: y = 12.6

Step-by-step explanation:

Since x = 2 and y = 6.3 * x, y = 6.3 * 2.

6.3 * 2 is equal to 12.6, so y is 12.6.

Answer:

y = 12.6

Step-by-step explanation:

y = 6.3x                     x = 2

Solve for y.

y = 6.3(2)

y = 12.6

So, the answer is 12.6

The probability that the song will be played on exactly 2 days out of 5 days is approximately 0.164.

To find the probability that a particular song is played exactly 2 days out of 5 days at radio station WMZH, we can use the binomial probability formula.

The binomial probability formula is given by P(x) = C(n, x) * p^x * (1-p)^(n-x), where P(x) is the probability of x successful outcomes, n is the number of trials, p is the probability of a successful outcome on a single trial, and C(n, x) represents the binomial coefficient, which is the number of ways to choose x items from a set of n items.

In this case, we want to find the probability of the song being played exactly 2 days out of 5 days, so x = 2, n = 5, and p = 3/8.

Using the formula, we have:

P(2) = \(C(5, 2) * (3/8)^2 * (1 - 3/8)^(^5^-^2^)\)

C(5, 2) = 5! / (2! * (5-2)!) = 10

P(2) = 10 * (3/8)^2 * (5/8)^3

P(2) ≈ 0.164 (rounded to three decimal places)

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The selling price of the item at 10% marlkup is $55

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

Selling price = Cost To Store * (1 + Markup)

substitute the known values in the above equation, so, we have the following representation

Selling price = 50 * (1 + 10%)

Evaluate

Selling price = 55

Hence the selling price of the item is $55

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The correct answer is A) The recipe will need 16 cups of sauce and three and a half teaspoons of oregano for 8 servings.

To determine the amount of sauce and oregano needed to make 8 servings, we can use the ratio of sauce to oregano from the table.

According to the table, for 3 servings, 6 cups of sauce are used along with 1 & 1/2 teaspoons of oregano. We need to find the ratio of sauce to oregano to scale it up for 8 servings.

Ratio of sauce to oregano:

6 cups of sauce / 1 & 1/2 teaspoons of oregano = 6/1.5 = 4 cups of sauce per teaspoon of oregano

Now, for 8 servings, we need to multiply the ratio by the number of teaspoons of oregano required:

8 servings * 1 teaspoon of oregano = 8 teaspoons of oregano

Therefore, for 8 servings, we would need:

8 teaspoons of oregano * 4 cups of sauce per teaspoon of oregano = 32 cups of sauce

Therefore, the correct answer is A) The recipe will need 16 cups of sauce and three and a half teaspoons of oregano for 8 servings.

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Answer:

0.875, 47/45, 1.444, 29/13

Step-by-step explanation:

0.875 is the least then 47/45 is 1.0444 as a decimal then 1.444 then 29/13 is 2.23 as a decimal hope that helps

Answer:

Thanks for points :)

Step-by-step explanation:

I like ice cream :D

Answer:

TY!! :)

have a great day!

Step-by-step explanation:

The first thing we have to do is find the distance between points A and B for that we use the following equation

From the graph we identify our points A and B and substitute to find their distance

To calculate any point between 2 points we use the following equations

The coordinates of the point 3/4 between A and B are