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3 years ago

Find the mean, variance, and standard deviation. If necessary, round your answer to the nearest hundredth.

Mathematics

1 answer:

-Dominant- [34]3 years ago

5 0

Answer:

Mean:4

Variance:6.2

Standard deviation:2.5

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On a town map, each unit of the coordinate plane represents 1 mile. Three branches of a bank are located at A(−3, 1), B(3, 3), a

Andrei [34K]

Answer:

The minimum total distance the employee may have driven before getting stuck in traffic is 8.3 miles

Step-by-step explanation:

* Lets explain how to solve the problem

- The rule of the distance between to points $(x_{1},y_{1})$

and $(x_{2},y_{2})$ i s $d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

- So at first we will find the distance between the three points

∵ A = (-3 , 1) , B = (3 , 3) , C = (3 , -1)

- By using the rule of distance

∴ $AB=\sqrt{(3--3)^{2}+(3-1)^{2}}=\sqrt{36+4}=\sqrt{40}=6.325$

∴ $BC=\sqrt{(3-3)^{2}+(-1-3)^{2}}=\sqrt{0+16}=4$

∴ $AC=\sqrt{(3--3)^{2}+(-1-1)^{2}}=\sqrt{36+4}=\sqrt{40}=6.325$

∵ Each unit coordinate plane represents 1 mile

∵ AB = 6.3 units

∴ The distance between branches A and B = 6.325 miles

∵ BC = 4 units

∴ The distance between branches B and C = 4 miles

∵ AC = 6.3 units

∴ The distance between branches A and C = 6.325 miles

- A bank employee drives from Branch A to Branch B and then

drives halfway to Branch C before getting stuck in traffic

∵ The distance from branch A to branch B is 6.325 miles

∵ The distance from branch B to branch C is 4 miles

∵ The half way from branch B to branch C = 1/2 × 4 = 2 miles

∴ The distance the employee may have driven before getting

stuck in traffic = 6.325 + 2 = 8.325 miles

∴ The minimum total distance the employee may have driven

before getting stuck in traffic is 8.3 miles

8 0

3 years ago

48.7 simplified is...?<br><br> 48.7 =~ ???

son4ous [18]

As a fraction it’s 48 7/10
As a percentage it’s 4870%
Hope that helped!

7 0

3 years ago

(3xy^4-4xy^2)-(xy^2-7xy^4)

Elza [17]

Lil boat hahahahahahhahaha

3 0

3 years ago

3. Consider the expression 4x + 15.

Softa [21]

Example of a real world problem:
Chris is starting a handmade card business. In the beginning, he starts off with 15 cards and makes 4 new cards every week.

The variable (x) would represent the number of weeks that passed.

Example 2:
Sam decides to start saving up money to buy a video game. She starts off with 15 dollars and gets an allowance of 4 dollars every day.

The variable (x) would represent the number of days that pass.

To come up with your own equation, most times, x represents a unit of time. The zero value (the number that isn’t being multiplied by a variable) in the equation always represents your starting value, and the coefficient of the variable represents how much of something is being gained or added after a duration of time.

I hope this helps!

8 0

3 years ago

5^10 is _____ times larger that 5^4

earnstyle [38]

Answer:

15626

Step-by-step explanation:

The power for 5^10 is 10, the power for 5^4 is 4.

10 - 4 = 6

5^6 = 15626. Hope this helps!

6 0

3 years ago