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qwelly [4]
2 years ago
14

G is the centroid of triangle ABC. What is the length of AE? units

Mathematics
1 answer:
nordsb [41]2 years ago
4 0

Answer: the answer is 39 units and it is correct

Step-by-step explanation:

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Assume the returns from an asset are normally distributed. The average annual return for the asset is 17.4 percent and the stand
Jlenok [28]

Answer:

0.13%

Step-by-step explanation:

Mean, u = 17.4%

standard deviation, sd = 27.5%

We are looking for the probability that the money will double in value. Therefore we are looking for the value of x = 100% (meaning the value is 100% more that the previous year)

Find the value of z-score

z = (x-u)/sd

  = (100 - 17.4) / 27.5 = 3.003

Find the z score using the z-table

From z-table at P(z<3.003) = 0.9987

So, for the probability that it the money will be double is

P (Z>2.8982) = 1 - P(z<2.8982)

                      = 1- 0.9987

                      = 0.0013  = 0.13%

6 0
2 years ago
There are 4500 people in Springfield. 1/3 of the population of Springfield are under the age of 21. how many people are under 21
Rama09 [41]

Answer:

1,500\ people

Step-by-step explanation:

we know that

There are 4,500 people in Springfield. 1/3 of the population of Springfield are under the age of 21

so

To calculate how many people are under 21 in Springfield

Multiply 4,500 by 1/3

4,500*(1/3)=1,500\ people

4 0
2 years ago
Simplify the radical expression
LenKa [72]
<span>To multiply two radicals together, we can simply multiply both the values inside the radicals together and put that in a radical.
So for 5*sqrt(45b) * 6*sqrt(48b), we get 30*sqrt(45b*48b) = 30*sqrt(2160b^2).   This value can be simplified further by taking out b^2 and 12^2 from the radical giving us the answer 360b*sqrt(15).</span>
3 0
2 years ago
Read 2 more answers
What type of triangle has side lengths 12, 13, and 2√3?
Travka [436]

Answer:

The triangle is an obtuse scalene triangle

Step-by-step explanation:

we know that

if c^{2}=a^{2}+b^{2} --------> is a right triangle

if c^{2}>a^{2}+b^{2} --------> is an obtuse triangle

if c^{2} --------> is an acute triangle

where

c is the greater side

we have

c=13\ units

a=12\ units

b=2\sqrt{3}\ units

so

c^{2}=13^{2}=169

a^{2}+b^{2}=12^{2}+(2\sqrt{3})^{2}=156

so

c^{2}>a^{2}+b^{2} -------> is an obtuse triangle

Remember that

The given triangle has three different length side

so

Is a scalene triangle

therefore

The triangle is an obtuse scalene triangle

4 0
2 years ago
Brody is purchasing some tools for his workshop. He has a budget of $120 and needs to buy at least 14 tools. Each hammer costs $
STatiana [176]

Answer:

For this case, the first thing we must do is define variables:

x: number of hammers

y: number of wrenches

We write the system of inequations:

10x + 6y <= 120

x + y> = 14

Step-by-step explanation:

5 0
2 years ago
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