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3 years ago

What is the most accurate representation of the area of a plot measuring 11.7 cm by 15.4 cm?

1 answer:

6 0

In the given question the length and width of the plot are already given. although there is no direct specification regarding the one that is length or the one that is the width, so it can be taken as your own choice. This will not affect the ultimate answer.
So
Area of the rectangular plot = Length * Width
= 11.7 * 15.4 square cm
= 180.18 square cm
So the area of the rectangular plot as can be seen from the above deduction is 180.18 square centimeter.

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A financial advisor is analyzing a family's estate plan. The amount of money that the family has invested in different real esta

Pachacha [2.7K]

Answer:

The amount of money separating the lowest 80% of the amount invested from the highest 20% in a sampling distribution of 10 of the family's real estate holdings is $238,281.57.

Step-by-step explanation:

Let the random variable X represent the amount of money that the family has invested in different real estate properties.

The random variable X follows a Normal distribution with parameters μ = $225,000 and σ = $50,000.

It is provided that the family has invested in n = 10 different real estate properties.

Then the mean and standard deviation of amount of money that the family has invested in these 10 different real estate properties is:

$\mu_{\bar x}=\mu=\$225,000\\\\\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{50000}{\sqrt{10}}=15811.39$

Now the lowest 80% of the amount invested can be represented as follows:

$P(\bar X$

The value of z is 0.84.

*Use a z-table.

Compute the value of the mean amount invested as follows:

$\bar x=\mu_{\bar x}+z\cdot \sigma_{\bar x}$

$=225000+(0.84\times 15811.39)\\\\=225000+13281.5676\\\\=238281.5676\\\\\approx 238281.57$

Thus, the amount of money separating the lowest 80% of the amount invested from the highest 20% in a sampling distribution of 10 of the family's real estate holdings is $238,281.57.

6 0

3 years ago

Please help. 2) What is the equation of the circle?

barxatty [35]

Answer:

The general equation of a circle is (x – h)2 + (y – k)2 = r2, where (h, k) represents the location of the circle's center, and r represents the length of its radius.

Step-by-step explanation:

5 0

3 years ago

Find the equation (in terms of x) of the line through the points (-2,1) and (3,5)

masha68 [24]

9514 1404 393

Answer:

y = 4/5x +13/5

Step-by-step explanation:

The slope is given by the formula ...

m = (y2 -y1)/(x2 -x1)

m = (5 -1)/(3 -(-2)) = 4/5

The y-intercept is given by the formula ...

b = y -mx . . . . for any point (x, y)

b = 1 -(4/5)(-2) = 1 +8/5 = 13/5 . . . . using the first point

So, the equation is ...

y = mx +b

y = 4/5x +13/5

_____

Additional comment

If you have a bunch of these to do, you may want to make a spreadsheet with the formulas built in. Then you can type in the two points and have it spit out the m and b for your equation. Even if you don't use it to do the work, you can use it to check the work.

7 0

3 years ago

What is the measure of angle XWY?

motikmotik

According to the vertical angle theorem when two lines intersects each other, the vertical angles that are formed are congruent to each other.

So, angle XWY is 74 degrees.

Hope this helps! Mark as Brainliest please! :)))

8 0

3 years ago

Write the quadratic function f(x) = x2 - 5x + 3 in vertex form. Complete the square to determine the maximum or minimum value of

enyata [817]

Answer:

a). Vertex form f the function f(x) = (x - 2.5)²+3.25

b). Maximum value of the function is (-3)

Step-by-step explanation:

a). f(x) = x² - 5x + 3

we have to write this function in the vertex form.

f(x) = x² - 2(2.5)x + 3

= [(1)²x²- 2(2.5)x + (2.5)²-(2.5)²] + 3

= (x - 2.5)²- 6.25 + 3

= (x - 2.5)² - 3.25

So the vertex for of the function is

f(x) = (x - 2.5)² - 3.25

b). Given quadratic function f(x) = -x² - 6x + 6 is in the standard form of f(x) = ax² + bx + c.

By comparing the coefficients of both the functions,

a = -1, b = 6 and c = 6

Here the value of a is negative, therefore, the given parabola is opening downwards.

And the maximum will occur at

$x=-\frac{b}{2a}$

When we plug in the values,

$x=-\frac{6}{2(-1)}$

x = 3

Now to get the value of maximum of the function we will get the value of f(3).

f(3) = -(3)²- 6(3) + 6

f(3) = 9 - 18 + 6

f(3) = -3

Therefore, maximum value of the quadratic function is (-3).

4 0

3 years ago