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vova2212 [387]
3 years ago
15

How many orders pair solutions does the system of equations have? -4+3y=12 x+y=2

Mathematics
1 answer:
Wewaii [24]3 years ago
3 0

Answer:

B. 1

- 4x + 3y = 12 -  -  - (a) \\ x + y = 2 -  -  - (b) \\  (a) - 3 \times (b) :  \\  - 7x + 0y = 6 \\  { \boxed{x =   - \frac{6}{7} }} \\  -  \frac{6}{7}  + y = 2 \\ { \boxed{y =  \frac{20}{7} }}

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A humanities professor assigns letter grades on a test according to the following scheme. A: Top 12% of scores B: Scores below t
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Answer:

The minimum score required for an A grade is 88.

Step-by-step explanation:

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}

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In this problem, we have that:

\mu = 77.8, \sigma = 8.5

Find the minimum score required for an A grade.

Top 12%, which is at least the 100-12 = 88th percentile, which is the value of X when Z has a pvalue of 0.88. So it is X when Z = 1.175.

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

1.175 = \frac{X - 77.8}{8.5}

X - 77.8 = 1.175*8.5

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Rounding to the nearest whole number

The minimum score required for an A grade is 88.

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