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scZoUnD [109]
2 years ago
5

Consider the system of linear equations −4x+2y=4 and 4x−y=−6. Which is different?

Mathematics
1 answer:
Alexandra [31]2 years ago
8 0

Answer:

one is plus + and the other is mines -

Step-by-step explanation:

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1. What is the positive solution to this equation?<br> 6x2 - 18x = 24
Orlov [11]

Answer:

x = -4

Step-by-step explanation:

Lets work on this :D

(6x × 2) - 18x = 24

=>12x - 18x = 24

=> -6x = 24

=> x = -4

Please give me brainliest if this helped! :D

8 0
2 years ago
The class average on a math test was an 82 with a standard deviation of 5. If the 
Alex787 [66]

Answer:

Option 3 and 4.

Step-by-step explanation:

The z score shows by how many standard deviations the raw score is above or below the mean. The z score is given by:

z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean, \ \sigma=standard\ deviation

Given that mean (μ) = 82, standard deviation (σ) = 5

1) For x = 74:

z=\frac{x-\mu}{\sigma} \\\\z=\frac{74-82}{5} =-1.6

Option 1 is incorrect

2) For x < 87

z=\frac{x-\mu}{\sigma} \\\\z=\frac{87-82}{5} =1

From the normal distribution table, P(x < 87) = P(z < 1) = 0.8413 = 84.13%

Option 2 is incorrect

3) For x = 95:

z=\frac{x-\mu}{\sigma} \\\\z=\frac{95-82}{5} =2.6

Option 3 is correct

4) For x < 77

z=\frac{x-\mu}{\sigma} \\\\z=\frac{77-82}{5} =-1

From the normal distribution table, P(x < 77) = P(z < -1) = 0.16 = 16%

Option 4 is correct

5) For x > 92

z=\frac{x-\mu}{\sigma} \\\\z=\frac{92-82}{5} =2

From the normal distribution table, P(x > 92) = P(z > 2) = 1 - P(z < -2) = 1 - 0.9772 = 0.0228 = 2.28%

Option 5 is incorrect

8 0
2 years ago
Which written statement matches the inequality |-4| = |4|
otez555 [7]

Answer:

C

Step-by-step explanation:

both 4 and -4 are the same distance from 0

7 0
2 years ago
Read 2 more answers
PPLEAS HELP ME! PLEASE SHOW WORK! dominic can eat 10 hotdogs in 4 minutes. at this rate, how many hotdogs can he eat in 18 minut
emmainna [20.7K]
The answer will be 45


7 0
3 years ago
Matthew Casertano and Fox Chyatte make a series of bets. In each bet, Matthew sets the stake (the amount he wins or loses) at ha
Olin [163]

Answer:

219/256 = 0.855

Step-by-step explanation:

He starts with $256.

After the first bet, he either has $128 or $512.

After the second bet, he either has $64, $256, or $1024.

Repeating this pattern, the amount after n bets and r wins is:

A = 256 (½)ⁿ⁻ʳ (2)ʳ

And the number of ways A can be achieved is:

N = nCr

We're given that n = 8.

A = 256 (½)⁸⁻ʳ (2)ʳ

If r = 0, A = 1 and N = 1.

If r = 1, A = 4 and N = 8.

If r = 2, A = 16 and N = 28.

If r > 2, A > 50.  The sum of N for all r is 2⁸ = 256.

Of the 256 possible combinations, 1+8+28 = 37 result in less than $50, so 219 result in more than $50.

So the probability is 219/256 = 0.855.

5 0
3 years ago
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