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3 years ago

How can I use elimination and substitution in complicated math equations?

1 answer:

6 0

Example 1: Solve the system of equations by elimination
Elimination Method Example
Solution:
In this example we will "cancel out" the y term. To do so, we can add the equations together.
Elimination Method Solution
Now we can find: x = 2
In order to solve for y, take the value for x and substitute it back into either one of the original equations.
Elimination Method Solution
The solution is (x, y) = (2, 1).

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Assume that the weights of individuals are independent and normally distributed with a mean of 160 pounds and a standard deviati

Ilia_Sergeevich [38]

Answer:

a) $\bf 0.3446^{25}=2.7095*10^{-12}$

b) 3,624.25 pounds

Step-by-step explanation:

Since 4300/25 = 172, in average every single person should weight 172 pounds to exceed the design limit.

The probability that one person weights 172 pounds or more is the area under the Normal curve with mean 160 pounds and standard deviation 30 pounds to the right of 172.

In Excel and OpenOffice Calc, this value is found with the formula

=1-NORMDIST(172;160;30;1)

(NORMDIST(172;160;30;1) gives the area to the left of 172, so 1-NORMDIST(172;160;30;1) gives the area to the right of 172)

and equals 0.3446

(see picture 1)

Hence, the probability that all the 25 people exceeds 172 pounds equals

$\bf 0.3446^{25}=2.7095*10^{-12}$

Similarly, we must find a weight w such that if p is the area to the left of w, then

$\bf p^{25}>0.0001$

$\bf p=\sqrt[25]{0.0001}=0.6918$

w would be the point such that the area under the Normal curve with mean 160 pounds and standard deviation 30 pounds to the right of w equals 0.6918.

In Excel and OpenOffice Calc this is found with

=NORMINV(1-0.6918;160;30)

and equals 144.97 pounds

(See picture 2)

and the design limit that is exceeded by 25 occupants with probability 0.0001 is 25*144.97 = 3,624.25 pounds

6 0

4 years ago

Which statement most reasonably explains the hours 0 texts were sent

lawyer [7]

Answer:

I think its the third one sorry if I got it wrong I tried my best

5 0

3 years ago

Question is in picture :) also pls explain (if u can)

fenix001 [56]

The m’s would all be the same number.Another way of adding the same number to each other would be to multiply that number by the number of times you want to add it to each other.

With m + m + m you are adding it 3 times.

So instead multiply m by 3:

The answer is 3m

3 0

3 years ago

Read 2 more answers

BRAINLIST AND 50 POINST ANSWER 5-8

Nastasia [14]

Answer:

1. 64

2. 140

hope this helps :)

4 0

3 years ago

An architect uses the scale 2 inches: 5 feet to make scale drawing for a new office building the cafeteria will be 40 feet wide

stiv31 [10]

Answer:

c.) 16in

Step-by-step explanation:

40/5 = 8

8 x 2 = 16

5 0

3 years ago