Identify the point of intersection for the following system of linear inequalities y-2x<12

By using normal distribution of probability, it is obtained that

92.4% of phone are eligible for free gift

What is normal distribution of probability?

Normal distribution of probability is the continuous type probability distribution whose probability density function is given by

P(X > x) = \(\frac{1}{\sigma \sqrt{2 \pi}}e^\frac{-z^2}{2}\)

where \(z = \frac{x - \mu}{\sigma}\)

\(\mu\) is the mean and \(\sigma\) is the standard deviation

Here it is given that the prices of the cell phones manufactured by Ahmadi are normally distributed

Mean = $98

Standard deviation = 12

P(x \(\geq\) 81.8) = P(z \(\geq\) \(\frac{81.8 - 98}{12}\)) = P(z \(\geq\)  -1.35) = 0 .924

So 92.4% of phone are eligible for free gift

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Answer:

10

Step-by-step explanation:

You could roll a 1,2,3,4,5,6  or have 6 possibilities

There are 4 of them greater than 2 ( 3,4,5,6)

P( greater than 2 ) = possibilities greater than 2 / total = 4/6 = 2/3

Multiply this by the number of rolls

15 * 2/3 = 10

I would expect 10 rolls to have a number greater than 2

i cant see the question

Step-by-step explanation:

Using Complete the Square method, we find out that \(x^{2} -5x+8\) can be expressed in the form of \((x-a)^{2}+b\) as \((x-\frac{5}{2}) ^{2} +\frac{7}{4}\) where a and b are top-heavy fractions.

It is given to us that the expression is -

\(x^{2} -5x+8\) ----(1)

We have to express it in the form of\((x-a)^{2}+b\) where a and b are top-heavy fractions.

In order to achieve the required expression in the form of  \((x-a)^{2}+b\) we have to use "Completing the Square" method.

The given expression from (1) is -

\(x^{2} -5x+8\)

This expression is in the form of \(ax^{2} +bx+c\)

Adding and subtracting \((b/2)^{2}\) terms into the expression, we get

\(x^{2} -5x+[\frac{5}{2}] ^{2}-[\frac{5}{2}] ^{2}+8\) -----(2)

Equation (2) can also be represented as -

\((x-\frac{5}{2}) ^{2} -[\frac{5}{2}] ^{2} +8\)

\(= > (x-\frac{5}{2}) ^{2} -\frac{25}{4} +8\\= > (x-\frac{5}{2}) ^{2} +\frac{7}{4}\)------- (3)

We see that equation (3) is in the form of \((x-a)^{2}+b\).

So, we can derive that -

\(a=\frac{5}{2}\)

and, \(b=\frac{7}{4}\).

Thus, \(x^{2} -5x+8\) can be expressed in the form of \((x-a)^{2}+b\) through "Complete the Square" method as \((x-\frac{5}{2}) ^{2} +\frac{7}{4}\) where a and b are top-heavy fractions.

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test of 250 questions

40% of the fist 125 are ok, this means that 125(0.4) = 50 questions of the first 125 are ok

If jassi needs 60% of the 250 ok, that is 250(0.6) = 150

If of the first half she already has 50 questions ok, and needs 150, she needs to have 100 questions our of the second 125

If she needs 100 out of 125, this percent is 100/125 = 0.8, this means 80%

Answer:

Jassi needs 80% of the second 125 questions to be ok

Answer:

160/3π

Step-by-step explanation:

π ·r² · h/3

π · 4² · 10/3

π · 16 · 10/3

= 160/3 π

The difference between the amount of paper within the waste stream before and after composting or recycling is 11.2%.

The waste stream is the entire life cycle of the garbage produced by people, from its source through to disposal, recovery, or recycling. Waste streams can be divided into two categories: material-related (such as paper, metals, plastics, and wood) and product-related (such as packaging).

Generally, paper (and paperboard) represent a big portion of the solid waste stream. In 2012, EPA noted that paper and paperboard products accounted for around 27% of all materials in the waste stream. To reduce the amount of the waste stream, the best thing you can do is to recycle and compost whenever possible.

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The polar equation r = 3+6cosθ is symmetric to the polar axis with respect to the polar axis.

To test the polar equation r = 3 + 6 cos(θ) for symmetry, we will consider each type of symmetry one by one:

1. Polar axis symmetry: Replace θ with -θ and check if the equation remains the same.
r = 3 + 6 cos(-θ) = 3 + 6 cos(θ) (since cosine is an even function)
Since the equation remains the same, the curve is symmetric with respect to the polar axis.

2. Pole symmetry: Replace r with -r and check if the equation remains the same.
-r = 3 + 6 cos(θ)
This equation is not equivalent to the original equation, so the curve is not symmetric with respect to the pole.

3. Line θ = π/2 symmetry: Replace θ with (π - θ) and check if the equation remains the same.
r = 3 + 6 cos(π - θ) = 3 - 6 cos(θ) (since cos(π - θ) = -cos(θ))
This equation is not equivalent to the original equation, so the curve is not symmetric with respect to the line θ = π/2.

In conclusion, the polar equation r = 3 + 6 cos(θ) is symmetric with respect to the polar axis, but not with respect to the pole or the line θ = π/2.

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An equation highlighting the discount: y = (65 - 7)x

A simpler equation: y = 58x

The researcher is assessing item equivalence, If a study is in parallel forms of the measurement instrument to the same person. The correct option is C).

When a study introduces parallel forms, the researcher is assessing item equivalence. Item equivalence refers to the extent to which the different forms of the measurement instrument produce similar results for the same individual.

This assessment is crucial in research because it allows researchers to evaluate the consistency and reliability of the measurement instrument across different versions. By administering parallel forms to the same person, any differences in responses can be attributed to individual factors rather than variations in the instrument.

This helps ensure that the instrument is measuring the intended construct consistently and accurately. The correct option is C).

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Answer:

1100

Step-by-step explanation:

3300 ÷ 0.5 = 6600

6600 ÷ 6 = 1100

Answer:

x=66

Step-by-step explanation:

180-114=66

Interior angles on the same side of transversal are supplementary (180°).

So,

x + 114° = 180°

=> x = 180° - 114°

=> x = 66°

ANS=40

hope this help you

bye have a great day :)

The total volume of the storage space is given by the last option:

s³ +  12 ft³

Remember that the volume of a cube of side length S, is:

V = S³

Here we have two cubes, so we need to find two volumes.

The first one has side length s, so its volume is:

V = s³

The second one has a volume of 12 ft³, the total volumeof the storage space is just the sum of the two volumes above, we will get.

s³ +  12 ft³

That is the correct option.

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Answer:

R = 3.057% per year

Step-by-step explanation:

This is a compound interest question

From the question, we have the following information

P = Principal = $1,725.95.

A = Amount after 25 years = $3,703.05

T = Time = 25 years

n = Compounding frequency = compounded monthly = 12

r = interest rate = ???

The formula to calculate the interest rate in a compound interest question =

r = n[(A/P)^1/nt - 1]

r = 12[($3,703.05/$1,725.95)^1/12× 25 - 1]

r = 3.057%

Therefore, the interest rate on the account is 3.057%

option (c) -No, 20 is NOT a reasonable solution because at x=-20,

an equation in which highest power of variable is always 1.

by solving the equation -6+2log(-5x)=-2 :

-6 + 2log(-5x) = -2

2log(-5x) = 4

log(-5x) = 2

-5x = 10^2

-5x = 100

x = -20

So, we found that x = -20 satisfies the equation. However, we need to check whether it is a reasonable solution or not.

Option C is correct: -20 is NOT a reasonable solution because at x = -20, the logarithm is not defined. The logarithm function is defined only for positive real numbers.

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Regenerate response

Answer:

12

Step-by-step explanation:

To modify your code to print a 1 if there are infinitely many solutions and a 0 if there are no solutions, you can add some additional checks after performing Gaussian elimination.

After performing Gaussian elimination, check if there is a row where all the coefficients are zero but the corresponding constant term is non-zero. If such a row exists, it indicates that the system of equations is inconsistent and has no solutions. In this case, you can print 0.

If there is no such row, it means that the system of equations is consistent and can have either a unique solution or infinitely many solutions. To differentiate between these two cases, you can compare the number of variables (unknowns) with the number of non-zero rows in the reduced row echelon form. If the number of variables is greater than the number of non-zero rows, it implies that there are infinitely many solutions. In this case, you can print 1. Otherwise, you can print the unique solution as you would normally do in your code.

By adding these checks, you can determine whether the system of linear equations has infinitely many solutions or no solutions and print the appropriate output accordingly.

To determine whether a system of linear equations has infinitely many solutions or no solutions, we can consider the behavior of the system after performing Gaussian elimination. Gaussian elimination is a technique used to transform a system of linear equations into a simpler form known as the reduced row echelon form.

When applying Gaussian elimination, if at any point we encounter a row where all the coefficients are zero but the corresponding constant term is non-zero, it implies that the system is inconsistent and has no solutions. This is because such a row represents an equation of the form 0x + 0y + ... + 0z = c, where c is a non-zero constant. This equation is contradictory and cannot be satisfied, indicating that there are no solutions to the system.

On the other hand, if there is no such row with all zero coefficients and a non-zero constant term, it means that the system is consistent. In a consistent system, we can have either a unique solution or infinitely many solutions.

To differentiate between these two cases, we can compare the number of variables (unknowns) in the system with the number of non-zero rows in the reduced row echelon form. If the number of variables is greater than the number of non-zero rows, it implies that there are more unknowns than equations, resulting in infinitely many solutions. This occurs because some variables will have free parameters, allowing for an infinite number of combinations that satisfy the equations.

Conversely, if the number of variables is equal to the number of non-zero rows, it indicates that there is a unique solution. In this case, you can proceed with printing the solution as you would normally do in your code.

By incorporating these checks into your code after performing Gaussian elimination, you can determine whether there are infinitely many solutions (print 1) or no solutions (print 0) and handle these cases appropriately.

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Answer:

Step-by-step explanation:

Let function p(x) be the price that is reduced by 15% if the bill is x dollars.

Since the price is not payed in full 100% is reduced by 15% we only pay

100 - 15 = 85 % of the original price.

p(x) = x· (100% - 15 %)  = x· 85% = 0.85 x

The function used to calculate any bill that is reduced by 15% is:

p(x) = 0.85x

x - is the bill before being reduced by the coupon

a) The proportion of the students scored at least 26 points on this test is 0.02275.

b) The 71 percentile of the distribution of test scores is 24.073

A low standard deviation suggests that values are often close to the mean of the collection, whereas a large standard deviation suggests that values are dispersed over a wider range.

Standard deviation, often known as SD, is most frequently represented in mathematical texts and equations by the lower case Greek letter (sigma), for the population standard deviation, or the Latin letter s, for the sample standard deviation.

Let the scores be X and X is normally distributed with a mean of 22 and standard deviation of 2.

μ=22

σ=2

X≈N(22,2)

a) P(X≥26)=P(((X-μ)/σ)≥(26-μ)/σ)

=1-P(Z≥2)

=1-P(Z<2)

=1-0.97725

=0.02275

b) Let a is the 71th percentile of X,

P(X≤a)=0.71

P((X-μ)/σ)≤(a-μ)/σ)=0.71

P(Z≤z)=0.71

From the standard normal table by calculating with z value, we get

a=24.073

Therefore,

a) The proportion of the students scored at least 26 points on this test is 0.02275.

b) The 71 percentile of the distribution of test scores is 24.073.

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The formula for the volume of a cone is:

V = (1/3)πr²h

where r is the radius of the base, h is the height of the cone, and π is pi.

In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:

h² = s² - r²

h² = 17² - 8²

h² = 225

h = 15

Now that we have the height, we can plug in the values for r and h into the formula for the volume:

V = (1/3)π(8²)(15)

V = (1/3)π(64)(15)

V = (1/3)(960π)

V = 320π

Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.

Answer:

it is FH < HI

Step-by-step explanation:

Answer:

3√5 is the answers for the question

Step-by-step explanation:

please mark me as brainlest

Answer:

B.

Step-by-step explanation:

the square root of 45 is about 6.708

the square root of 3 is about 1.732

the square root of 5 is about 2.236

the square root of 9 is 3

5 x 1.732 = 8.66

3 x 2.236 = 6.708

9 x 2.236 = 20.124

5 x 3 = 15

Answer: The last one I believe

Step-by-step explanation:

Answer:

Please check the explanation.

Step-by-step explanation:

Given

f(x) = 3x + x³

Taking differentiate

\(\frac{d}{dx}\left(3x+x^3\right)\)

\(\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\)

\(=\frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(x^3\right)\)

solving

\(\frac{d}{dx}\left(3x\right)\)

\(\mathrm{Take\:the\:constant\:out}:\quad \left(a\cdot f\right)'=a\cdot f\:'\)

\(=3\frac{d}{dx}\left(x\right)\)

\(\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1\)

\(=3\cdot \:1\)

\(=3\)

now solving

\(\frac{d}{dx}\left(x^3\right)\)

\(\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}\)

\(=3x^{3-1}\)

\(=3x^2\)

Thus, the expression becomes

\(\frac{d}{dx}\left(3x+x^3\right)=\frac{d}{dx}\left(3x\right)+\frac{d}{dx}\left(x^3\right)\)

                    \(=3+3x^2\)

Thus,

f'(x) = 3 + 3x²

Given that f'(x) = 15

substituting the value  f'(x) = 15 in f'(x) = 3 + 3x²

f'(x) = 3 + 3x²

15 =  3 + 3x²

switch sides

3 + 3x² = 15

3x² = 15-3

3x² = 12

Divide both sides by 3

x² = 4

\(\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\)

\(x=\sqrt{4},\:x=-\sqrt{4}\)

\(x=2,\:x=-2\)

Thus, the value of x​ will be:

\(x=2,\:x=-2\)

Answer:

A and C

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

because it's one of each item

i cant understand your question define briefly

Answer:

Point Form: (-3,-2)

Equation Form: x = -3, y = -2

Step-by-step explanation:

I think this is the answer

Answer:

-x-2y=7

x=−2y−7

x=-2/7y+-25/7

-2/7y+-25/7=−2y−7

y=−2

x=−2(−2)−7

x=−3

x=-2/7(−2)+-25/7

x=−3

so

x is -3 and y is -2

(-3,-2)

Hope it helps

Answer: The one on the left.

Step-by-step explanation:

There is no file, but the panda on the left is bigger.

The given paragraph states that a stationery shop has been running for 10 years near campus in Jakarta.

Students like the asker often visit this store to purchase stationery, markers, rulers, and photocopiers.

The word "been" is a past participle of the verb "be." It is used to show the completion of an action in the past.

In this case, it implies that the stationery shop has been operating for the past 10 years near the campus.

The sentence can be rewritten as follows to make use of the word "been":

"The stationery shop has been providing stationery, markers, rulers, and photocopiers to students near the campus for 10 years."

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