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11111nata11111 [884]
2 years ago
12

Solve by substitution: 7x+4y=14 and x+2y=12 HURRY I'LL GIVE BRAINLIEST!!

Mathematics
1 answer:
antiseptic1488 [7]2 years ago
5 0

Answer:

x = -2

y = 7

Step-by-step explanation:

x = 12 - 2y

7(12 - 2y) + 4y = 14

84 - 14y + 4y = 14

84 - 10y = 14

10y = 70

y = 7

x = 12 - 2 x 7

x = 12 - 14

x = -2

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For -7, you would be able to solve the same equation as above just with -7 in the place of 7. You would end up with x = -1/7.

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Among freshman at a certain university, scores on the Math SAT followed the normal curve, with an average of 550 and an SD of 10
lina2011 [118]

Answer:

a) 6.68th percentile

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Problems of normally distributed samples are solved using the z-score formula.

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.

In this problem, we have that:

\mu = 550, \sigma = 100

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

Z = \frac{400 - 550}{100}

Z = -1.5

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So this student is in the 6.68th percentile.

b) To be at the 75th percentile of the distribution, a student needed a score of about ______ points on the Math SAT.

He needs a score of X when Z has a pvalue of 0.75. So X when Z = 0.675.

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0.675 = \frac{X - 550}{100}

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3 years ago
What is the value of n in the equation (1)/(2)(n-4)-3=3-(2n+3)
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