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Degger [83]
3 years ago
7

Which two expressions is equivalent to 8(5+x)

Mathematics
1 answer:
Natali [406]3 years ago
4 0

Answer: 8(x+5) 8x + 40

40 + 8x

Step-by-step explanation:

Distribute the 8 by multiplying by each value inside the parentheses.

Commutative property in addition and multiplication allows the terms to be in reversed order.

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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 <em>X</em> represent the amount of money that the family has invested in different real estate properties.

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

It is provided that the family has invested in <em>n</em> = 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 <em>z</em> is 0.84.

*Use a <em>z</em>-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
What is HL???<br><br> HL=__<br><br> Image Below
Advocard [28]

Consider a trapezoid GJKF with:

GH=JH (hypothesis)

FL=KL (hypothesis)

so HL is the median of trapezoid GJKF

so: HL=1/2(2.5+1.2)=1.85

4 0
2 years ago
Laura ran t minutes on Monday, and 15 more minutes on Tuesday. Record using algebra: If on Wednesday, Thursday, and Friday Laura
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Monday: t minutes

Tuesday: t + 15 minutes

Wednesday: t minutes

Thursday: t minutes

Friday: t minutes

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Verizon [17]
Well we know that sin(angle) = opposite/hypotenuse. using the angle of 38 degrees we see that the opposite is 24 and the hypotenuse is x. So we fill in equation:
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x *sin (38) = 24
x = 24/ sin (38)
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3 years ago
A smaller square is located inside a larger square. the length of the smaller square is 7 cm, and the length of the square is 12
patriot [66]
Let S=larger square side and s=smaller square side.  The area between the larger and smaller is simple the larger area minus the smaller area.  The area of any square being s^2.  So our remaining area is:

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A=144-49=95 cm^2
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3 years ago
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