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katrin [286]
2 years ago
8

Which statements are true about the ordered pair (7, 19) and the system of equations? {2x−y=−5x+3y=22 Select each correct answer

. The ordered pair (7, 19) is a solution to the first equation because it makes the first equation true. The ordered pair (7, 19) is a solution to the second equation because it makes the second equation true. The ordered pair (7, 19) is not a solution to the system because it makes at least one of the equations false. The ordered pair (7, 19) is a solution to the system because it makes both equations true.
Mathematics
2 answers:
IRISSAK [1]2 years ago
7 0
(7,19) is a solution for only the first equation (2x-y= -5), so it is not a solution to the system.
2x-y=-5 we substitute the x and y for 7, and 19 making the equation 2 x 7-19, 2 x 7 is 14 so we then put the 14 and 19 together, 14-19, and 14-19 is equal to -5 so the first equation is true. For the second equation which is x+3y=22 we do the same thing as the first equation, we substitute x and y for 7, and 19, substituting these numbers in we get 7+3 x 19, 3 x 19 is 57, so 7+57, which equals 64 and is no where near 22. So, the ordered pair (7,19) is a solution to the first equation because, it makes the first equation true, and the ordered pair (7,19) is not a solution to the system because, it makes at least one of the equations false.


Cloud [144]2 years ago
5 0

this would be your only answer

The ordered pair  (7, 19) is a solution to the first equation because it makes the first equation true.

hope this helps

i did the test so i'm sure

just saying:)

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Answer:

Due to the higher z-score, David has the higher standardized score

Step-by-step explanation:

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In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Which student has the higher standardized score

Whoever had the higher z-score.

David:

Scores on Ms. Bond's test have a mean of 70 and a standard deviation of 11. David has a score of 52 on Ms. Bond's test. So X = 52, \mu = 70, \sigma = 11

Z = \frac{X - \mu}{\sigma}

Z = \frac{52 - 70}{11}

Z = -1.64

Steven:

Scores on Ms. Nash's test have a mean of 64 and a standard deviation of 6. Steven has a score of 52 on Ms. So X = 52, \mu = 64, \sigma = 6

Z = \frac{X - \mu}{\sigma}

Z = \frac{52 - 64}{6}

Z = -2

Due to the higher z-score, David has the higher standardized score

3 0
2 years ago
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professor190 [17]

Answer:

Therefore, the probability is P=3/32.

Step-by-step explanation:

We know that Hiro has a stack of cards with one number from the set 1, 1, 2, 2, 3, 3, 3, 4 written on each card.  

We calculate the probability that he pulls out a 3 first and then pulls out a 2 without replacing them.

The probability that he pulls out a 3 first is 3/8.

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We get:

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Therefore, the probability is P=3/32.

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