can someone tell me this question????

49.85% of buyers paid between 150,000 and 154,200

The empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviation from the mean and 99.7% are are within three standard deviation from the mean.

Given that mean (μ) = 150000, standard deviation σ = 1400

68% are within one standard deviation = μ ± σ = 150000 ± 1400 = (148600, 151400)

95% are within two standard deviation = μ ± 2σ = 150000 ± 2 * 1400 = (147200, 152800)

99.7% are within three standard deviation = μ ± 3σ = 150000 ± 3 * 1400 = (145800, 154200)

The buyers who paid between 150,000 and 154,200 = 99.7%/2 = 49.85%

Hence 49.85% of buyers paid between 150,000 and 154,200

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To solve for k, you can start by isolating k on one side of the equation.

10 + 3k = 22

Subtract 10 from both sides:

3k = 12

Finally, divide both sides by 3:

k = 4

So the solution is k = 4.

Answer:

slope m = - 8

Step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

y + 3 = - 8(x - 4) ← is in point- slope form

with slope m = - 8

The slope is :

Solution:

Given: \(\bf{y+3=-8(x-4)}\)

To determine the slope, it's important to know the form of the equation first.

There are 3 forms that you should be familiar with.

The three forms of equations of a straight line are:

This equation matches point slope perfectly.

The question becomes, how do you work with point slope to find slope?

In point slope, m is the slope and (x₁, y₁) is a point on the line.

Similarly, the slope of \(\bf{y+3=-8(x-4)}\) is -8.

Answer:

1 is divided by 3z with difference 2

the first five terms of the series are:

Term 1 = 5/3

Term 2 = 2

Term 3 = 5/3

Term 4 ≈ 20/17

Term 5 ≈ 25/33

To find the first five terms of the series \(\sum_{n=1}^\infty\frac{5n}{2^n+1}\), we substitute the values of n from 1 to 5 and compute the corresponding terms:

For n = 1:

Term 1 = (5 * 1) / (2¹ + 1) = 5/3

For n = 2:

Term 2 = (5 * 2) / (2² + 1) = 10/5 = 2

For n = 3:

Term 3 = (5 * 3) / (2³ + 1) = 15/9 = 5/3

For n = 4:

Term 4 = (5 * 4) / (2⁴ + 1) = 20/17

For n = 5:

Term 5 = (5 * 5) / (2⁵ + 1) = 25/33

Therefore, the first five terms of the series are:

Term 1 = 5/3

Term 2 = 2

Term 3 = 5/3

Term 4 ≈ 20/17

Term 5 ≈ 25/33

To determine whether the necessary condition for convergence is satisfied, we can check if the series converges by investigating the limit of the general term as n approaches infinity.

Taking the limit of the general term as n approaches infinity:

lim(n→∞) (5n/(2ⁿ+1)) = lim(n→∞) (5n/(2ⁿ))

= lim(n→∞) (5n/((2ⁿ) * 2))

= lim(n→∞) (5n/(2ⁿ)) * (1/2)

= 0 * (1/2) = 0

Since the limit of the general term is zero, the necessary condition for convergence is satisfied.

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Find the first five terms of the series and determine whether the necessary condition for convergence is satisfied.

\(\sum_{n=1}^\infty\frac{5n}{2^n+1}\)

If we had a polynomial-time algorithm for computing the length of the shortest TSP tour, then we would also have a polynomial-time algorithm for finding the shortest TSP tour by using the following approach: Generate all possible tours, For each tour, compute its length, The shortest tour is the one with the minimum length.

The first step, generating all possible tours, can be done in polynomial time. This is because the number of possible tours is a polynomial function of the number of cities.

The second step, computing the length of each tour, can also be done in polynomial time. This is because the length of a tour is a polynomial function of the distances between the cities.

Therefore, the overall algorithm for finding the shortest TSP tour is polynomial-time.

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Answer:

20% or .2

Step-by-step explanation:

First divide 240 by 300

240/300

this gives you .8, you would then subtract that from 1 to get .2

You can check your answer by multiplying 300 by .2

300*.2

this gives you 60 which is the difference between the 2 numbers

Hope this helps

Answer:

Can i see a pic of the shaded part?

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

The Operational Transconductance Amplifier (OTA) can be configured as a variable resistor by utilizing its transconductance property. The basic configuration involves using the OTA in a voltage-controlled current source (VCCS) mode, where the output current is controlled by an input voltage.

Here is a schematic diagram of the OTA configured as a variable resisto

        +------------------+

  V_in |                  |

 +----->   OTA            |

        |                  |

        |                  |

        |                  |

        +---o-----o--------+

            |     |

          R_var  |

            |     |

            +-----+

              V_out

In this configuration, the OTA serves as a variable resistor with resistance denoted as R_var. The value of R_var is determined by the input voltage V_in and can be controlled to vary the resistance seen between the output node and the ground.

To derive the necessary expressions, we can start by considering the transconductance property of the OTA, denoted as G_m. G_m represents the relationship between the input voltage and the output current of the OTA.

The output current (I_out) can be expressed as:

I_out = G_m * V_in

Here, G_m represents the transconductance of the OTA, which is a measure of how the output current changes with respect to the input voltage.

To calculate the resistance (R_var) seen between the output node and the ground, we can use Ohm's Law:

R_var = V_out / I_out

Substituting the expression for I_out:

R_var = V_out / (G_m * V_in)

Simplifying the equation, we get:

R_var = 1 / (G_m * V_in/V_out)

R_var = 1 / (G_m * (V_in / V_out))

So, the expression for the variable resistance (R_var) in terms of the transconductance (G_m) and the voltage ratio (V_in / V_out) is given by:

R_var = 1 / (G_m * (V_in / V_out))

By controlling the input voltage (V_in) and the transconductance (G_m) of the OTA, we can vary the value of the resistance seen between the output node and the ground, effectively controlling the variable resistor behavior of the OTA configuration.

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If the average annual stock return is 11. 3%, the average holds a portfolio of $8600 worth 30 years.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that, the average annual stock return is 11. 3% and you begin your investment portfolio with $2,000,

Suppose the amount he earns in one year is x,

x=  11. 3%. of $2,000

x=220

The portfolio be worth 30 years if the average holds are,

=220 × 30

=$ 6600

The net cost is the sum of the return and the initial investment,

=$ 6600 + $ 2000

=$8600

Thus, if the average annual stock return is 11. 3%, the average holds a portfolio of $8600 worth 30 years.

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Answer:

x = 20

Step-by-step explanation:

PEMDAS

P = parenthasees

E = exponents

M = multiplication

D = division

A = addition

S = subtraction

this is the order

so first

4x + 8 -2x = 4x - 12

No exponents

no Multiplication

No division

Addition

So for this, we have to subtract the 4x on both sides to get

x + 8 - 2x = -12

then do -8

x - 2x = -20

then

-x = -20

x = 20

Answer:

x=10

Step-by-step explanation:

*The eight is negative and not positive. The answer is x=10

There is no graph provided for reference, but if the graph shows a probability distribution, then the probabilities that are equal to 0.3 would depend on the specific shape and values displayed on the graph.

Without this information, it is impossible to determine which probabilities are equal to 0.3. Based on the given information, the graph represents a probability distribution. To determine which probabilities are equal to 0.3, you would need to analyze the graph (which is not provided). However, I can explain each term:
1. p(5≤x≤8): This represents the probability that x falls between 5 and 8, inclusive.
2. p(x≤3): This denotes the probability that x is less than or equal to 3.
3. p(x≥3): This signifies the probability that x is greater than or equal to 3.
4. p(3≤x≤5): This indicates the probability that x falls between 3 and 5, inclusive.

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In order to determine the probability that a message blocked by the e-mail spam filter was actually spam, we can use Bayes' theorem.

The probability of a message being spam given that it was blocked by the filter can be calculated by multiplying the probability of the message being spam (10%) by the probability of the filter correctly blocking spam (96%), and dividing that by the overall probability of the filter blocking a message (10% spam messages blocked multiplied by 96% success rate, plus 90% non-spam messages blocked multiplied by 3% error rate). This gives us a probability of approximately 74%.

Essentially, Bayes' theorem allows us to update our prior belief (the 10% probability that a received message is spam) based on new information (the fact that the filter blocked the message). In this case, the new information is that the filter was successful in blocking the message, but there is still a small chance that it was a legitimate message

. By plugging in the given probabilities to Bayes' theorem, we can calculate a posterior probability that the message was actually spam. In this case, the answer comes out to around 74%, meaning that the filter is fairly reliable in correctly identifying spam messages. However, it is important to note that there is still a chance (about 26%) that a blocked message was a legitimate one.

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The measurements of <a is 105^o, and <b is 75^o.

Two or more angles are said to be supplementary if their measures add up to 180^o.

In the given diagram, we have;

a. To find the measure of <a;

m<a + 40 + 35 = 180

m<a + 75 = 180

m<a = 180 - 75

       = 105

m<a = 105^o

b. To find the measure of <b;

m<b + m<a = 180

m<b + 105 = 180

m<b = 180 - 105

       = 75

m<b = 75^o

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Answer:

−4,−2)∪(0,1), If it is not the correct answer, please notify by texting

Answer:

y=12x-4

Step-by-step explanation:

To find the slope intercept form, we know the m(slope) but we need to find b.

y and x is given to us, so we can find b.

Plug in the numbers provided into the slope intercept form.

y=mx+b

20=(12)(2)+b

20=24+b

To find b, we have to get b by itself. So, we subtract both sides by 24.

-4=b

Now that we found b, we can plug this into the equation.

y=12x-4

Answer:

the equation is division

Step-by-step explanation:

To make parallelogram WXYZ a square, the following conditions must be met:

1. All four sides of the parallelogram must have equal length.

2. The angles between adjacent sides must be 90 degrees.

Since a square is a special type of parallelogram with all sides equal and all angles equal to 90 degrees, we can determine the value of m that would make WXYZ a square by ensuring that these conditions are met. To find the value of m, we need more information about the dimensions or properties of the parallelogram WXYZ. Please provide additional details or measurements related to the parallelogram. The diagonals of a square are equal in length and bisect each other at 90-degree angles. The perimeter of a square is the sum of all four sides, and the area of a square is calculated by squaring the length of one side.In order for parallelogram WXYZ to be a square, it must have congruent sides and right angles at each vertex.

Since opposite sides of a parallelogram are congruent, we can equate the lengths of adjacent sides to find the value of m that would make it a square.

Let's assume that WX and XY are adjacent sides of the parallelogram.

If WX = XY, then the parallelogram would have congruent sides.

Let's say WX = m and XY = m.

To form a square, the angles at each vertex must be right angles. This means that WX and XY must be perpendicular to each other.

In a square, opposite sides are parallel, so the slopes of WX and XY must be negative reciprocals of each other.

The slope of WX can be represented as (change in y) / (change in x). Since it is perpendicular to XY, its slope will be the negative reciprocal of the slope of XY.

Let's assume the slope of XY is denoted as a. Then the slope of WX would be -1/a.

We can now equate the slopes of WX and XY:

-1/a = (change in y) / (change in x)

Simplifying this equation, we get:

a = -1

Therefore, the slope of XY is -1.

Now, we can equate the lengths of WX and XY:

m = m

Since WX = XY and both sides have length m, we can say that m = m.

So, any value of m would make parallelogram WXYZ a square as long as the sides WX and XY are congruent and perpendicular to each other, with a slope of -1.

hence, the value of m = -1.

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Answer:

BV=23

Step-by-step explanation:

BV=DV

2x+1=x+12

2x-x=12-1

x=11

BV=2(11)+1

=22+1

=23

Answer:

1/8

Step-by-step explanation:

Initially the jug was filled three quarters that is ¾. And jyoti poured out half of the water present in the jug. We need to find out which part of jug is filled. So since half of water is taken , hence water taken = 3/4 ÷ 2 = 3/4 × 1/2 = 3/8

⇒ Water left = 3/4 - 3/8

⇒ Water left = 6 - 3/8

⇒ Water left = 1/8

Answer:

f(x)=(x+4)-10

Step-by-step explanation:

Since the function f(x)=x^2+8x+6 is in standard form, you need to find the axis of symmetry using the formula -b/2a, and then plug the value back into the original equation to find the vertex.

The vertex is (-4, -10)

Using this information, we can rewrite the equation in vertex form (f(x=a(x-h)+k), where (h, k) is the vertex.

The equation we rewrite is f(x)=(x+4)-10

Answer:

13. P(-8,2)

14. M(4,-5)

Based on the scatter plot, the meaning of the slope in this scenario is that: The slope of the line of best fit is 0.25. Each time the shoe size increases by one, the height increases by 0.25 inches.

In this scenario, the woman's shoe size would be plotted on the x-axis of the scatter plot while her height would be plotted on the y-axis of the scatter plot.

From the Excel sheet, you should right click on a data point on the scatter plot, select format trend line (line of best fit) and then tick the box to display an equation for the line of best fit on the chart.

By critically observing the scatter plot (see attachment) which models the data in the given table, we can reasonably and logically deduce that an equation for the line of best fit is given by:

y = 0.25x + 66.6

In conclusion, the slope of this line is 0.25, which implies that when the shoe size is increased by one (1), the height is increased by 0.25 inches.

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By using a change-of-base formula to evaluate each logarithm, we get (a) 1.5920$ approximately and (b) - 0.0643$ approximately.

Log b an is defined as [logc c a] / [logc c b] in the base-change algorithm. The base of a logarithm can have any (same) positive integer as it's base, so to change the base, we simply divide [log a] by [log b].

(a) Using the change-of-base method, we can calculate:

frac log 10(11) = log 6(11)

{\log {10}(6)} 1.5920$ roughly

(b) The change-of-base algorithm gives us the following results:

log 7 (0.98) = frac log 10 (0.98) approximately -0.0643$ for log 10(7).

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Answer:

circle=6, triangle=2, star=8, square=4

Step-by-step explanation:

6+2=8

6-2=4

8+4=12

8-4=4

4+4=8

This vector equation represents all the points that lie on the line passing through (-1, -1, -1) and (8, -1, 7) for any value of t. As t varies over the real numbers, the points P(t) trace the line in three-dimensional space.

The line passing through the points (-1, -1, -1) and (8, -1, 7) can be described using vector notation. Let's denote the position vector of a point on the line as P(t), where t is a real number that represents a parameter along the line. The vector equation for the line can be written as: P(t) = (-1, -1, -1) + t[(8, -1, 7) - (-1, -1, -1)].

Simplifying the equation: P(t) = (-1, -1, -1) + t(9, 0, 8) = (-1 + 9t, -1, -1 + 8t). This vector equation represents all the points that lie on the line passing through (-1, -1, -1) and (8, -1, 7) for any value of t. As t varies over the real numbers, the points P(t) trace the line in three-dimensional space.

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Answer:

for question 1:  raynie can ride her skateboard 2 miles in 10 minutes how many miles can she ride her skate board in 1.5 hours (answer) - 18 miles.

question 2: Andrew's sandwich consists of 20 gram piece of cheese a 60 gram piece turkey and two 30 gram slices of bread. (answer) - 30%

Answer:

The 3rd one

Step-by-step explanation:

Obtuse triangles have 1 angle greater than 90 degrees

An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees.

It would be the third option <3

The first 5 terms in the power series solution at x = 0 are: y(x) = 1 - 2/3x² + 8/15x⁴ + O(x⁶)

Given differential equation:y" + xy + y = 2

The power series solution is given as:

y(x) = Σ n=0 to ∞ anxn

Now, to find the first 5 terms in the power series solution at x = 0, we need to substitute the power series solution in the given differential equation and equate the coefficients of like powers of x

So, differentiating y(x) twice, we get:

y'(x) = Σ n=0 to ∞ nanxn-1y''(x) = Σ n=0 to ∞ na(n-1)xn-2

Substituting these values in the differential equation:

y'' + xy + y = 2Σ n=0 to ∞ na(n-1)xn-2 + xΣ n=0 to ∞ anxn + Σ n=0 to ∞ anxn = 2Σ n=0 to ∞ 2anxn

Rearranging the terms:

Σ n=2 to ∞ na(n-1)xn-2 + Σ n=0 to ∞ (n+1)an+1xn + Σ n=0 to ∞ anxn = Σ n=0 to ∞ 2anxn

Comparing the coefficients of like powers of x:

For n = 0:a0 + a0 = 2a0So, a0 = 1For n = 1:2a1 + a1 = 0a1 = 0For n = 2:3a2 + 2a0 = 0a2 = -2/3For n = 3:4a3 + 3a1 = 0a3 = 0For n = 4:5a4 + 4a2 = 0a4 = 8/15

Therefore, the first 5 terms in the power series solution at x = 0 are:

y(x) = 1 - 2/3x² + 8/15x⁴ + O(x⁶)

Alternatively, using the given initial conditions of ao = 2 and a₁ = -1:y(x) = 2 - x + (1/6)x³ - (1/120)x⁵ + O(x⁷)

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