How to get the LCM of the exxpresion

Answer:

use brackets [] and parenthesis ()

Step-by-step explanation:

68.26% of students out of 500 would score between 68 and 82  if the mean is 75 and standard deviation is 7.

A low standard deviation suggests that values are often close to the mean (also known as the anticipated value) 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.

Given,

Mean μ=75

σ=7

By using normal distribution,

P(68<x<82)=P(((68-μ)/σ)<z<((82-75)/7))

P(-1<z<1)

P(z<1)-P(z< -1)

By using z-table, we get

=0.8413-0.1587

=0.6826

P(68<x<82)=0.6826≈68.26

P(68<x<82)=68.26%

Therefore, 68.26% of students out of 500 would score between 68 and 82 if the mean is 75 and standard deviation is 7.

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here my Answer:)))))))

H (12, -2)

Probability that participants prefer Saga Genesis, given that the person is between the ages of 13 and 24 = 0.08

The number of participants between 13 and 24 that prefer Saga genesis = 84 + 83

The number of participants between 13 and 24 that prefer Saga genesis = 167

The total number of gamers = 1990

Probability that participants prefer Saga Genesis, given that the person is between the ages of 13 and 24 = 167/1990

Probability that participants prefer Saga Genesis, given that the person is between the ages of 13 and 24 = 0.08

9514 1404 393

Answer:

  a) $15,779.70

  b) $13,679.70

  c) $210.92

Step-by-step explanation:

a) When tax is added, the total cost is ...

  total = price × (1 +tax rate)

  total = $14,775 × 1.068 = $15,779.70

__

b) The amount financed is the difference between the total cost and the down payment.

  financed = total - down35

  financed = $15,779.70 -2100 = $13,679.70

__

c) The monthly payment is found using the amortization formula. It can also be found using any of a number of financial calculators, spreadsheets, or apps.

  A = P(r/12)/(1 -(1 +r/12)^-n) . . . . annual rate r, n monthly payments, principal P

  A = $13,679.70(0.035/12)/(1 -(1 +0.035/12)^-72) ≈ $210.92

Answer:

x=10

Step-by-step explanation:

The most appropriate formulation of the null and alternative hypotheses to determine whether this type of engine meets the pollution standard is option (a): H:p=20 H:p<20.

The most appropriate formulation of the null and alternative hypotheses to determine whether this type of engine meets the pollution standard is option (a): H:p=20 H:p<20.

In hypothesis testing, the null hypothesis (H0) represents the assumption of no effect or no difference, while the alternative hypothesis (Ha) represents the claim or the effect we want to test. In this case, the null hypothesis states that the population mean carbon emissions of all engines of this type are equal to 20 ppm (parts per million). The alternative hypothesis states that the population mean carbon emissions are less than 20 ppm.

The goal is to gather evidence to determine if there is enough statistical support to reject the null hypothesis in favor of the alternative hypothesis. The chosen formulation aligns with this goal by specifying a specific value (20 ppm) and providing a direction for the alternative hypothesis (less than 20 ppm).

Hypothesis testing is a statistical procedure used to make inferences about population parameters based on sample data. The process involves formulating null and alternative hypotheses, collecting sample data, calculating a test statistic, and comparing it to a critical value or determining the p-value.

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The equation holds true for k+1 as well.

By the principle of mathematical induction, we have proven that Σ₁ (i² - 1) = n(2n² + 3n - 5) for all n ≥ 1.

To prove the statement using induction, we will first verify the base case when n = 1, and then assume that the statement holds for some arbitrary positive integer k and prove it for k+1.

Base case (n = 1):

When n = 1, the left-hand side of the equation becomes Σ₁ (i² - 1) = (1² - 1) = 0.

On the right-hand side, we have (1)(2(1)² + 3(1) - 5) = 0.

Therefore, the equation holds true for n = 1.

Inductive step (Assume true for k and prove for k+1):

Assume that the equation holds true for some positive integer k, i.e., Σ₁ (i² - 1) = k(2k² + 3k - 5).

We need to prove that the equation also holds true for k+1, i.e., Σ₁ (i² - 1) = (k+1)(2(k+1)² + 3(k+1) - 5).

Expanding the right-hand side, we have:

(k+1)(2(k+1)² + 3(k+1) - 5) = (k+1)(2k² + 7k + 4).

Now, let's consider the left-hand side:

Σ₁ (i² - 1) + (k+1)² - 1.

Using the assumption that the equation holds true for k, we can substitute the expression for Σ₁ (i² - 1) with k(2k² + 3k - 5):

k(2k² + 3k - 5) + (k+1)² - 1.

Expanding and simplifying this expression, we obtain:

2k³ + 3k² - 5k + k² + 2k + 1 - 1.

Combining like terms, we have:

2k³ + 4k² - 3k + 1.

We can see that this expression matches the expanded right-hand side:

(k+1)(2k² + 7k + 4) = 2k³ + 4k² - 3k + 1.

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Answer:

8c + 6 = 3     

Step-by-step explanation:

six more than the product of a number and 8 is 3  

the product of 8 and c is 8•c, which can also be written as 8c. 6 more than that means you are adding 6, and getting 3... so your equation is,   

8c + 6 = 3     

hope this helped!

mark me brainliest :D

Answer:

8 dollars

Step-by-step explanation:

half id eight is four abd plus four is eight

Answer:

162

Step-by-step explanation:

the pattern in the denominators is ' multiply by 3 '

that is

2 × 3 = 6

6 × 3 = 18

18 × 3 = 54

then the next denominator is

54 × 3 = 162

Answer:

162

Step-by-step explanation:

The multiplication number will be 3.

2x3=6

6x3=18

18x3=54

54x3=162. and so on.

Just make sure to multiply your next answer by 3.

Answer:

a=107°

Step-by-step explanation:

The angles along a straight line always add up to 180. 73+107=180

Answer:

180° - 73° = 107°

a= 107°

Step-by-step explanation:

He bro! What's up ? Are you from US?

The slope of the new road is zero.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points from the Graph (5, 0) and (5, 4).

Slope of a line = m = tanθ

where θ is the angle made by the line with the x−axis.

For a line parallel to y−axis ,θ= π/2.

​

∴m = tan π/2 = undefined

The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.

An horizontal line now has zero slope.

The new road has a zero slope as a result.

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The solutions to the equation \(2/x - 1 = 16/(x^2 + 3x - 4) are x = 2 and x = (-1 ± √17) / 2.\)

To solve the equation \(2/x - 1 = 16/(x^2 + 3x - 4),\) we'll simplify and rearrange the equation to isolate the variable x. Here's the step-by-step solution:

1. Start with the given equation: 2/x - 1 = 16/(x^2 + 3x - 4)

2. Multiply both sides of the equation by x(x^2 + 3x - 4) to eliminate the denominators:

\(2(x^2 + 3x - 4) - x(x^2 + 3x - 4) = 16x\)

3. Simplify the equation:

\(2x^2 + 6x - 8 - x^3 - 3x^2 + 4x - 16x = 16x\)

4. Combine like terms:

  -x^3 - x^2 + 14x - 8 = 16x

5. Move all terms to one side of the equation:

\(-x^3 - x^2 - 2x - 8 = 0\)

6. Rearrange the equation in descending order:

  -x^3 - x^2 - 2x + 8 = 0

7. Try to find a factor of the equation. By trial and error, we find that x = 2 is a root of the equation.

8. Divide the equation by (x - 2):

\(-(x - 2)(x^2 + x - 4) = 0\)

9. Apply the zero product property:

  x - 2 = 0 or x^2 + x - 4 = 0

10. Solve each equation separately:

   x = 2

11. Solve the quadratic equation:

   For x^2 + x - 4 = 0, you can use the quadratic formula or factoring to solve it. The quadratic formula gives:

 \(x = (-1 ± √(1^2 - 4(1)(-4))) / (2(1)) x = (-1 ± √(1 + 16)) / 2 x = (-1 ± √17) / 2\)

Therefore, the solutions to the equation\(2/x - 1 = 16/(x^2 + 3x - 4) are x = 2 and x = (-1 ± √17) / 2.\)

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The correct answer is Beta. In this case, it is more important to make the Beta error as low as possible.

This is due to the Beta error being a false negative, which would suggest that the lead levels did not go above the permitted limit even though they did.

As a result, the park would continue to be open and the general public would be exposed to a potentially dangerous situation.

On the other side, a false positive (also known as an Alpha error) would cause the park to be closed without a need and would prevent the public from accessing a secure park.

Making the Beta error as small as feasible is therefore more crucial in order to protect the public from unwarranted dangers.

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Answer:

C) 300

Step-by-step explanation:

Butter cookies :-

2 x 50 = 100 cookies

Choco chip cookies

4x 100 = 200 cookies

Total cookies :-

100 + 200 = 300

I hope my answer helps you.

The  (q/p)^Sn, n>=1 is a martingale.

To show that (q/p)^Sn, n>=1 is a martingale, we need to show that it satisfies the three conditions of a martingale:

The expected value of (q/p)^Sn is finite for all n.

For all n, E[(q/p)^Sn+1 | Fn] = (q/p)^Sn, where Fn is the sigma-algebra generated by the first n transitions.

(q/p)^Sn is adapted to the filtration Fn.

First, we note that the expected value of (q/p)^Sn is finite for all n since q/p < 1, and thus (q/p)^n approaches zero as n approaches infinity.

Next, we consider the second condition. Let F_n be the sigma-algebra generated by the first n transitions, and let X_n = (q/p)^Sn. We need to show that E[X_n+1 | F_n] = X_n.

We can write (q/p)^(n+1) = (q/p)^n * (q/p), so we have:

E[X_n+1 | F_n] = E[(q/p)^(n+1) | F_n]

= E[(q/p)^n * (q/p) | F_n]

= (q/p)^n * E[(q/p) | F_n]

= (q/p)^n * [(q/p) * P(up) + (p/q) * P(down)]

= (q/p)^n * [(q/p) * p + (p/q) * q]

= (q/p)^n * (p + q)

= (q/p)^n * 1

= X_n

Thus, the second condition is satisfied.

Finally, we need to show that X_n is adapted to the filtration F_n. This is true since X_n only depends on the first n transitions, which are included in F_n.

Therefore, we have shown that (q/p)^Sn, n>=1 is a martingale.

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f ( 4 ) = - 10

___________

g ( x ) = 2 , x = 0

Answer:

2

Step-by-step explanation:

from (0,1) to (1,3)

is up 2 over 1

2/1=2

hope this helps!

Answer:

There are 192 employees in the company.

Step-by-step explanation:

Let x be the total number of employees

Use ratio and proportion

\(\frac{120}{x} =\frac{5}{8} \\5x = 120(8)\\5x = 960\\\frac{5x}{5} = \frac{960}{5} \\x = 192\)

x = 192

Answer:

Step-by-step explanation:

25% decrease

The values 16, and 8 are the two common denominators. If you want the answer for the question it's 7/8

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

The calculation of the fraction will be calculated by simply adding the sum of 1/2 together with that of 3/8. Therefore, it should be noted that the addition of the fraction will be:

= 1/2 + 3/8

= 4/8 + 3/8

= 7/8

The value of the addition of the fraction is 7/8.

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What is a different common denominator you could use in problem 2? Describe how you would

add the fractions using this different common denominator. Is the result equivalent to the sum

found in problem 2?

There’s problem 2 given as 1/2 + 3/8

Answer:

455 mph (miles per hour)

Step-by-step explanation:

65 x 7 = 455

Sorry if it is short. I wanna get as much answers before Exam Mode starts.

Answer:

The equation will be y= 3x + 4

Step-by-step explanation:

Hope this helps :)

The equation in slope-intercept form describes a line that has a y-intercept of 4 and a slope of 3 will be y= 3x + 4.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, a line that has a y-intercept of 4 and a slope of 3.

The standard equation in the slope-intercept form is,

y = mx +c

Where m is the slope and c is the intercept. The ratio that y increase as x increases is the slope of a line.

Substitute the given value,

y = 3x + 4

Thus, the equation in slope-intercept form describes a line that has a y-intercept of 4 and a slope of 3 will be y= 3x + 4.

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The Fed rule, also known as the Taylor rule, is an equation that attempts to describe how the Federal Reserve adjusts interest rates in response to changes in economic conditions.

The rule was first proposed by economist John Taylor in 1993 and has since become a widely used guide for central banks around the world.

The Fed rule is typically expressed as follows: r = p + 0.5y + 0.5(P - 2) + 2, where r is the federal funds rate, p is the target rate of inflation, y is the difference between actual output and potential output (also known as the output gap), and P is the current rate of inflation.

According to the rule, when the economy is operating below potential and inflation is low, the Fed should lower interest rates to stimulate growth.

Conversely, when the economy is growing too quickly and inflation is rising, the Fed should raise interest rates to slow down the economy and prevent inflation from getting out of control.

The Fed rule is not a perfect guide for monetary policy, as there are many other factors that can influence interest rate decisions, including global economic conditions, geopolitical events, and financial market developments.

However, it provides a useful framework for understanding the Fed's thinking about interest rates and helps to promote transparency and predictability in monetary policy.

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Answer:

6

Step-by-step explanation:

Inverse proportion.

z = k/w

z = 3, w = 4

Solve for k constant.

3 = k/4

(4)3 = (4)k/4

12=k

The value of k constant is 12.

z = k/w

Put w as 2 and k as 12 and solve for z.

z = 12/2

z = 6

The value of z when w equals 2 is 6.

A quadratic regression equation for this set of data is y(x) = -69.27x² + 4921.02x - 37722.14.

For a selling price of 19.5 dollars, the profit is 31897.83.

In Mathematics, the standard form of a quadratic function is represented by the following equation;

ax² + bx + c = 0

Next, we would create a system of equation by using the data points provided above;

a(15.75)² + b(15.75) + c = 22602

248.06a + 15.75b + c = 22602    .....equation 1.

a(18.25)² + b(18.25) + c = 29017

333.06a + 18.25b + c = 29017    .....equation 2.

a(23.00)² + b(23.00) + c = 38820

529.00a + 23.00b + c = 38820    .....equation 3.

By solving the system of equations simultaneously, the values of a, b, and c are as follows;

a = -69.27

b = 4921.02

c = -37722.14

Therefore, the required quadratic function in standard form is given by;

ax² + bx + c = 0

y(x) = -69.27x² + 4921.02x - 37722.14

For a selling price of 19.5 dollars, the profit can be calculated as follows:

y(19.5) = -69.27(19.5)² + 4921.02(19.5) - 37722.14

y(19.5) = 31897.83.

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Step-by-step explanation:

=91^-9

=1/91^9

=1/4.279298001×10^17

Answer:

106

Step-by-step explanation:

You divide to find the quotient, the actual answer is 105.7, but I rounded it up for simplicity's sake.

Answer:

105.7

Step-by-step explanation:

you have to find what 1.51×70

The probability that exactly 7 of 10 randomly selected people have swallowed at least one spider in their sleep in the last year is approximately 0.0248 or 2.48%.

This problem involves a binomial probability distribution, where:

n = 10 (number of trials)

p = 0.61 (probability of success, i.e. swallowing at least one spider per year)

x = 7 (number of successes we want to find)

The probability of exactly x successes is given by the formula:

\(P(x) = (nCx) * p^x * (1-p)^(n-x)\)

where nCx is the binomial coefficient, given by:

\(nCx = n! / (x! * (n-x)!)\)

Plugging in the values:

\(nCx = 10! / (7! * (10-7)!) = 120\)

\(p^x = 0.61^7 = 0.0277\)

\((1-p)^(n-x) = (1-0.61)^(10-7)\) = 0.077161

P(x) = 120 * 0.0277 * 0.077161 = 0.0248

Therefore, the probability that exactly 7 of 10 randomly selected people have swallowed at least one spider in their sleep in the last year is approximately 0.0248 or 2.48%.

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