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2 years ago

What’s the value of 5%

Mathematics

1 answer:

Firdavs [7]2 years ago

4 0

Answer:

0.05 in decimal form

Step-by-step explanation:

I don't know if you accidentally left something out but if you did I can edit my answer or put the answer in the comments.

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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

chegg evaluate the following integral using trigonometric substitution. dx/square root(x^2-81), x > 9

vesna_86 [32]

Integration will be ln | ( x /9 ) + ( $\sqrt{(x/9)^{2} - 1 }$ ) | + c .

Given ∫ 1 dx / ( $x^{2}$ - 81 )

Put ,

x = 9 secθ

dx = 9 secθ tanθ dθ

and

$\sqrt{x^{2} - 9^{2} }$ = 9 tanθ

Substituting values in ∫ 1 dx / ( $x^{2}$ - 81 ) ,

∫ (9 secθ tanθ ) dθ / ( 9 tanθ )

∫ secθ dθ = ln | secθ + tanθ | + c

= ln | ( x /9 ) + ( $\sqrt{x^{2} - 9^{2} }$ / 9 ) | + c

= ln | ( x /9 ) + ( $\sqrt{(x/9)^{2} - 1 }$ ) | + c

Hence , the integration will be ln | ( x /9 ) + ( $\sqrt{(x/9)^{2} - 1 }$ ) | + c .

To learn more on integration follow link :

brainly.com/question/20156869

#SPJ4

6 0

2 years ago

The length of a rectangle is 4 less than twice the width. The perimeter of the rectangle is 106 cm. Determine the length of the

horsena [70]

Answer:

Length = 34

Step-by-step explanation:

Perimeter of rectangle = a+a+b+b = 2(a+b)

Let a = length = 2b - 4

Let b = width

Therefore

(2b-4) + (2b-4) + b + b = 106 cm

Bracket off

2b-4+2b-4+b+b = 106cm

Collect like terms

2b+2b+b+b-4-4 = 106cm

6b-8 = 106

6b = 106+8

6b = 114

b = 114÷6

b = 19

To get a

2b - 4

2(19) - 4

38-4

= 34

4 0

3 years ago

What is the exact value of sin(105°)?

Whitepunk [10]

Answer:

exact form

1/2

Step-by-step explanation:

decimal 0.5

3 0

2 years ago

HOW MANY BRAINLIES POINTS SHOULD I MAKE THIS QUESTION???

nikitadnepr [17]

Answer:

I think it should be 30-40 brain points, because there's too much questions.

8 0

3 years ago