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mash [69]
3 years ago
9

Solve the system using the elimination method.

Mathematics
1 answer:
Artemon [7]3 years ago
5 0
Multiplying the first equation by -1 and adding it to the third, we get 2y-8z=15 and by multiplying the first equation by -1 and adding it to the second equation, we get -3y-4z=3

Using the two equations, we have 
2y-8z=15
-3y-4z=3

Multiplying the second equation by -2 and adding it to the third, we have 8y=9 and y = 9/8 by dividing both sides by 8. Plugging it back into
-3y-4z=3, we have -27/8-4z=3 and by adding 27/8 to both sides, we have -4z=51/8 and by dividing both sides by -4 we get z=-51/32.

Plugging it into 2x − y + z =2, we get 2x-9/8+5(-51/32)=2, we get x=151/64 by adding -(5(-51/32)) to both sides as well as adding 9/8 to both.
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Make a decision about the given claim. use only the rare event? rule, and make subjective estimates to determine whether events
Elan Coil [88]

Given claim: A coin favors heads when tossed, and there are 90 heads in 100 tosses.

Answer: There isn’t sufficient evidence to support this claim, because the coin is a fair coin.

 

Given claim: Movie patrons have IQ scores with a standard deviation that is less than the standard deviation of 15 for the general population. A simple random sample of 40 movie patrons result in IQ scores with a standard deviation of 14.8.

Answer: Claim is either true or false

 

In a rare event rule, <span>we conclude that the assumption is probably not correct, if, under a given assumption, the probability of a particular observed event is exceptionally small. </span>

4 0
3 years ago
The daily sales at a convenience store produce a normal distribution with a mean of $1,250 and a standard deviation of $125. The
timama [110]

Answer:

0.6844 is the required probability.        

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $1,250

Standard Deviation, σ = $125

We are given that the distribution of daily sales is a bell like shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find

P(sales less than $1,310)

P( x < 1310) = P( z < \displaystyle\frac{1310 - 1250}{125}) = P(z < 0.48)

Calculation the value from standard normal z table, we have,  

P(x < 1310) =0.6844= 68.44\%

0.6844 is the probability that sales on a given day at this store are less than $1,310.

4 0
3 years ago
Three hundred two times one hundred fifty three<br>302×153​
Katarina [22]

Answer:

46,206

Step-by-step explanation:

simple math

7 0
3 years ago
Read 2 more answers
A circle has a circumference of 907.46 units.<br> What is the diameter of the circle?
Nastasia [14]

Answer: 289

Step-by-step explanation: The equation for circumference is dπ=C. So divide 907.46 by 3.14 which is 289 units.

6 0
3 years ago
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Find b mark as brainlest
lesya692 [45]

Answer:

6.8

Step-by-step explanation:

6 0
3 years ago
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