|3x-4|=|3x-5| please solve. Thank you so much. if you get it right, I will reward you. Thx!

Answer:

Look at the image I attached to my response.

Step-by-step explanation:

For proof #3, I did it according to the way I was taught how to do proofs in my state/school, so what you wrote could be correct.

Answer:

-49

Step-by-step explanation:

I checked with a calculator so it should be right

Answer:

-49

Step-by-step explanation:

my calculator confirmed it.

Answer:

3015.9

Step-by-step explanation:

its 3015.9 to nearest 10th because formula of volume of cylinder is

v = pi x radius squared x height

so pi x 8 squared = 201.06192983...

REMEMBER - dont round until the end so scientific calculator is best for this

then you do (answer) x height = 3015.9

                                        (15)

hope this helped :D

The 95% confidence interval for the given population proportion is between 0.1716 to 0.2884.

The confidence interval for a population proportion is calculated by the formula,

\(C.I = \bar{p}\pm z_{\alpha/2}\sqrt{\frac{\bar{p}(1-\bar{p})}{n} }\)

Where \(\bar{p}\) is the sample proportion and α is the level of significance.

It is given that,

The statistics reported on CNBC projects, a surprising number of motor vehicles are not covered by insurance. The sample results are

The sample size n = 200;

The number of successes = 46

So, the sample proportion \(\bar{p}\) = 46/200 = 0.23

For a 95% confidence interval, the level of significance is

α = 1 - 95/100 = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

Then, the z-score for the value 0.025 is

\(z_{\alpha/2}\) = 1.96 (from the table)

Thus, the confidence interval is

\(C.I = \bar{p}\pm z_{\alpha/2}\sqrt{\frac{\bar{p}(1-\bar{p})}{n} }\)

⇒ C.I = 0.23 ± (1.96) × \(\sqrt{\frac{0.23(1-0.23)}{200} }\)

⇒ C.I = 0.23 ± 1.96 × 0.0298

⇒ C.I = 0.23 ± 0.0584

So, the upper limit is 0.23 + 0.0584 = 0.2884 and the lower limit is 0.23 - 0.0584 = 0.1716.

Therefore, the 95% confidence interval for the given population proportion lies between 0.1716 to 0.2884.

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Answer:

y = 6x

Explaination:

slope intercept form is just y=mx+b, and since the slope is 6, you plug 6 into m, and then the y-intercept is 0, so you can drop it out of the equation

Form the given five quadratics , the one representing the repeated roots is equal to option d. 25x² - 30x + 9 and repeated roots are 3/5 or 3/5.

Quadratics representing repeated roots has discriminant equals to zero.

Standard quadratic equation is:

ax² + bx + c = 0

Discriminant 'D' = b² - 4ac

option a. -x²+ 18x + 81

Discriminant

'D' = 18² - 4(-1)(81)

      = 324 + 324

      = 648

D>0 has distinct roots.

option b. 3x²- 3x - 168

Discriminant

'D' = (-3)² - 4(-3)(-168)

      = 9 - 2016

      = -2007

D< 0 has distinct roots.

option c. x²- 4x -  4

Discriminant

'D' = (-4)² - 4(1)(-4)

      = 16 + 16

      = 32

D>0 has distinct roots.

option d. 25x²- 30x + 9

Discriminant

'D' = (-30)² - 4(25)(9)

      = 900 - 900

      = 0

D = 0 has repeated roots.

Repeated roots are:

x = ( -b ±√D ) / 2a

  = [-(-30)±√0 ]/ 2(25)

  = 30/ 50

  = 3/5.

option e.  x² - 14x + 24

Discriminant

'D' = (-14)² - 4(1)(24)

      = 196 - 96

      = 100

D>0 has distinct roots.

Therefore, the quadratics which represents the repeated roots are given by option d. 25x² - 30x + 9 and its repeated roots are 3/5 or 3/5.

The above question is incomplete, the complete question is:

One of the five quadratics below has a repeated root. (There other four have distinct roots.) What is the repeated root?

a. -x²+ 18x + 81

b. 3x² - 3x - 168

c. x² - 4x - 4

d. 25x² - 30x + 9

e. x² - 14x + 24

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Answer:

Step-by-step explanation:

total number of marbles=5+15+5=25

number of green marbles=5

P(two green balls drawn)

\(=\frac{5}{25} \times\frac{4}{24} =\frac{1}{30} \\\)

Answer:linear

Step-by-step explanation:cuz why not -________-

We draw the conclusion that the results are significantly different since the null hypothesis was rejected, which means that a different proportion of people than 0.3 had clinical illness.

With the aid of a statistical test, researchers weigh the evidence in favor of and against the null and alternative hypotheses, which are two opposing claims: The null hypothesis (H0) states that there is no population impact. Alternative hypothesis (Ha or H1): The population is affected.

Given,

Among susceptible individuals exposed to a particular infectious agent 30% generally develop clinical disease. out of a random sample of 100 people suspected of exposure to the agent only 20 developed clinical disease.

Let X be the random variable to determine the proportion of people who have clinical illness.

n: The overall number of people who were exposed to a specific infectious pathogen.

p: The percentage of sample members who have a clinical illness.

Selected subjects who experience clinical disease are the experiment's success.

As a result, the variables are n = 100 and p = 0.30.

It is necessary to determine whether exposure to the agent outcome may be entirely accounted for by coincidence.

A P-value is a probabilistic indicator of the likelihood that an observed outcome effect is accidental.

Using the default level of significance = 0.05, the level of significance is not defined.

One percentage z-test is the best suitable test for the aforementioned assertion.

The alternate and null hypothesis is

H0: p = 0.3

H1:: p ≠ 0.3

Where p is the percentage of the population that develops a clinical illness.

R may be used to calculate the p-value and test statistic.

The instruction is as follows:

x = 20; n = 100; p = 0.3; prop.test

The result looks like this: - The p-value obtained from the output above is 0.03817.

Decision principle:

When significance is 5%,

If the p-value is below 0.05, reject the null hypothesis.

Accept the contrary.

Because the p-value was 0.03817 0.05

The null hypothesis is disproven.

In conclusion:

We draw the conclusion that the results are significantly different since the null hypothesis was rejected, which means that a different proportion of people than 0.3 had clinical illness.

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Answer:

4

Step-by-step explanation:

Answer:

2%

Step-by-step explanation:

Answer:

4.75

Step-by-step explanation:

110 is the initial fee.

intial fee is the y-intercept.

True. The 3px, 3py, and 3pz orbitals are similar in shape but differ in their orientation or direction.

The p orbitals are one type of orbital that corresponds to the angular momentum number l = 1. These p orbitals are designated as 3px, 3py, and 3pz to indicate their orientations along the x, y, and z axes, respectively.

The p orbitals have a  shape with a node at the nucleus. They consist of two lobes of electron density, one on either side of the nucleus, separated by a region of zero electron density. The lobes are oriented along the designated axes. The 3px orbital points along the x-axis, the 3py orbital points along the y-axis, and the 3pz orbital points along the z-axis. Although they have different orientations, their shapes and sizes are the same.

So, while the 3px, 3py, and 3pz orbitals differ in their orientation in space, they share the same overall shape and size.

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Answer:

3/5

Step-by-step explanation:

3/5 is .6 and 1/2 is .5

.6 is the bigger number.

The possible roots of √9 are +3 and -3.

What is root of a number?

In mathematics, a number's root is the number that, when multiplied by itself, yields the original number. For instance, since 7 x 7=49, the square root of 49 is 7. In this instance, 7 is referred to as the square root of 49 since it must be multiplied twice to produce the number. 3 because

3 x 3 x 3 = 27 is the cube root of 27.

We have to find the possible roots of √9.

The number 9 is not a prime number and is an odd number.

The multiple of nine can be expressed as follows:

1 x 9 = 9

3 × 3 = 9

9 × 1 = 9

You are aware that the number 9 is a multiple of three or that the result of multiplying three times itself is nine. Consequently, the square root of 9 can be expressed as;

\(\sqrt{9} = \sqrt{3*3} = \sqrt{3^2}\)

The square root of a number is cancelled by the square. As a result, when we square the above expression's square root, we obtain.

√9 = ±3

In essence, taking a number's square root yields two root values, one with a +ve symbol and the other with a -ve symbol.

Therefore, we can say that the roots of 9 are +3 and -3, or that the value of the square root of 9 can be expressed as +3 and -3.

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Step-by-step explanation:

What is the measure of angle B in the triangle?

Enter your answer in the box.

m∠B=

°

A triangle labeled ABC with angle A as one hundred twenty degrees, angle B as X degrees and angle C as parenthesis X plus sixteen parenthesis degrees

the answer in the photo

Teshawn, this is the solution:

As we had this same question before, the expected payoff is:

1/200 * 240 + 3/200 * 90 + 8/200 * 50 + 188/200 * 0

1.2 + 1.35 + 2 + 0

Therefore, the expected payoff for a raffle ticket is $ 4.55

Answer:

I do

Step-by-step explanation

I like the manga

Answer:

mmeeee ‍♀️

Step-by-step explanation:

omg thats a rlly good drawing too

The volume of the simplex is 1^n. So , the volume of the simplex with vertices at the origin and the standard basis vectors in nn dimensions is simply 1.

In nn dimensions, the simplex is a geometric shape formed by connecting the origin and the standard basis vectors.

The volume of this simplex can be determined by finding the determinant of the matrix formed by these basis vectors. Since the standard basis vectors are orthogonal, the determinant of this matrix will be equal to the product of their magnitudes.

In nn dimensions, each standard basis vector has a magnitude of 1. Therefore, the volume of the simplex is 1^n.

To simplify, any number raised to the power of 1 is equal to the number itself.

So, the volume of the simplex with vertices at the origin and the standard basis vectors in nn dimensions is simply 1.

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We can infer that the set of vectors represented by (-1, 2), (8, 4) is orthogonal in Rⁿ since their dot product is equal to zero.

We must determine whether the dot product of any two vectors in the set is equal to zero in order to demonstrate the orthogonality of the set of vectors in Rⁿ.

Let's determine the dot product of the vectors provided:

(-1, 2) ⋅ (8, 4) = (-1)(8) + (2)(4)

(-1, 2) ⋅ (8, 4) = -8 + 8

(-1, 2) ⋅ (8, 4) = 0

We can infer that the set of vectors (-1, 2), (8, 4) is orthogonal in Rⁿ because the dot product of (-1, 2) and (8, 4) equals zero.

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The standard error of the sample proportion is approximately 0.0306.

To calculate the standard error of a sample proportion, we use the formula:

Standard Error = sqrt((p * (1 - p)) / n)

where:

p is the proportion (expressed as a decimal)

n is the sample size

In this case, the proportion of people strongly opposed to the state lottery is 25%, which can be expressed as 0.25. The sample size is 200.

Plugging in these values into the formula:

Standard Error = sqrt((0.25 * (1 - 0.25)) / 200)

Calculating the standard error:

Standard Error = sqrt((0.25 * 0.75) / 200)

= sqrt(0.1875 / 200)

= sqrt(0.0009375)

= 0.0306 (approximately)

Therefore, the standard error of the sample proportion is approximately 0.0306.

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The probability that the committee consists of 3 men and 2 women is 10/63.

As per the given question.

The committee consists of 9 people (6 women ad 3 men).

5 are choosen at random.

Then, the probability that the committee will have the of 3 men and 2 women is;

P(3 men + 2 women) = (select 3 men of of 3 men)(select 2 women out of 5 women) / (choose 5 out of 9 total)

P(3 men + 2 women) = (³C₃ . ⁵C₂)/ ⁹C₅

Solve the combination.

P(3 men + 2 women) = 1 x 20 / 126

P(3 men + 2 women) = 10/63

Thus, the probability that the committee consists of 3 men and 2 women is 10/63.

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The complete question is-

A committee of 5 is to be selected from a group of 6 women and 3 men. If the selection is made randomly, what is the probability that the committee consists of 3 men and 2 women?.

The solution is, the percentage increase in the price is, 5.56%.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

We know,

The price of petrol is increased from R12.58 per liter to R13.28 per liter.

Determine the percentage increase in the price.

We take

13.28 - 12.58 = R 0.70

0.70 divided by 12.58,

i.e. 0.70/12.58

  =0.0556

times 100 = 5.56%

So, the percentage increase in price is 5.56%.

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The taxi ride is an illustration of a linear proportional equation

The taxi ride was 13.25 miles

From the question, we have:

The number of miles (n) is the quotient of the total cost of the ride, and the cost per mile.

So, we have:

n = 39.75/3.00

Evaluate the quotient

n = 13.25

Hence, the ride was 13.25 miles

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Main Answer:The approximate probability is 0.033

Supporting Question and Answer:

How do we calculate the expected average and standard deviation for a sample?

To calculate the expected average and standard deviation for a sample, we need to consider the characteristics of the population and the sample size.

Body of the Solution:

a) To find the expected average amount of the waiter's tips, we can use the fact that the mean of the sample means is equal to the population mean. Since the mean of the tips is given as 7 dollars, the expected average amount of his tips is also 7 dollars.

b) The standard deviation for the average amount of the waiter's tips, also known as the standard error of the mean, can be calculated using the formula:

Standard deviation of the sample means

= (Standard deviation of the population) / sqrt(sample size)

In this case, the standard deviation of the population is given as 2 dollars, and the sample size is 30. Plugging these values into the formula, we have:

Standard deviation of the sample means = 2 / sqrt(30) ≈ 0.365

Therefore, the standard deviation for the average amount of the waiter's tips is approximately 0.365 dollars.

c) To find the approximate probability that the average amount of the waiter's tips is less than 6 dollars, we can use the Central Limit Theorem, which states that for a large sample size, the distribution of sample means will be approximately normal regardless of the shape of the population distribution.

Since the sample size is 30, which is considered relatively large, we can approximate the distribution of the sample means to be normal.

To calculate the probability, we need to standardize the value 6 using the formula:

Z = (X - μ) / (σ / sqrt(n))

where X is the value we want to standardize, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Plugging in the values, we have:

Z = (6 - 7) / (2 / sqrt(30)) ≈ -1825

Using a standard normal distribution table or a calculator, we can find the probability associated with this z-score. The approximate probability that the average amount of the waiter's tips is less than 6 dollars is approximately 0.033.

Final Answer:Therefore, the approximate probability is 0.033, accurate to three decimal places.

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The approximate probability is 0.033

To calculate the expected average and standard deviation for a sample, we need to consider the characteristics of the population and the sample size.

a) To find the expected average amount of the waiter's tips, we can use the fact that the mean of the sample means is equal to the population mean. Since the mean of the tips is given as 7 dollars, the expected average amount of his tips is also 7 dollars.

b) The standard deviation for the average amount of the waiter's tips, also known as the standard error of the mean, can be calculated using the formula:

Standard deviation of the sample means

= (Standard deviation of the population) / sqrt(sample size)

In this case, the standard deviation of the population is given as 2 dollars, and the sample size is 30. Plugging these values into the formula, we have:

Standard deviation of the sample means = 2 / sqrt(30) ≈ 0.365

Therefore, the standard deviation for the average amount of the waiter's tips is approximately 0.365 dollars.

c) To find the approximate probability that the average amount of the waiter's tips is less than 6 dollars, we can use the Central Limit Theorem, which states that for a large sample size, the distribution of sample means will be approximately normal regardless of the shape of the population distribution.

Since the sample size is 30, which is considered relatively large, we can approximate the distribution of the sample means to be normal.

To calculate the probability, we need to standardize the value 6 using the formula:

Z = (X - μ) / (σ / sqrt(n))

where X is the value we want to standardize, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Plugging in the values, we have:

Z = (6 - 7) / (2 / sqrt(30)) ≈ -1825

Using a standard normal distribution table or a calculator, we can find the probability associated with this z-score. The approximate probability that the average amount of the waiter's tips is less than 6 dollars is approximately 0.033.

Therefore, the approximate probability is 0.033, accurate to three decimal places.

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Answer:

(a). y = 5

(b). RS = 28

     ST = 19

     RT = 47

Step-by-step explanation:

(a). There are three points R, S and T on a number line.

Therefore, RT = RS + ST -------(1)

Since, RT = 10y - 3

RS = 5y + 3

ST = 3y + 4

By substituting these values in the equation (1)

10y - 3 = (5y + 3) + (3y + 4)

10y - 3 = 8y + 7

10y - 8y = 7 + 3

2y = 10

y = 5

(b). RS =  5y + 3

           = 25 + 3

           = 28

      ST = 3y + 4

           = 15 + 4

           = 19

      RT = 10y - 3

            = 50 -3

            = 47  

The probability of randomly selecting a cream filled

Chocolate is 1/4

Let E be the event of selecting cream filled chocolate.

Number of favourable outcome = 6

Total number of possible outcome = 24

Probability if selecting a cream filled chocolate = 6/24

= 1 / 4

Hence, the probability of randomly selecting a cream filled chocolate is 1/4

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