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asambeis [7]
3 years ago
12

Which descriptions of the figure MUST be true? Select all that apply. There are three lines LK, LN, and LM starting from the com

mon point L. The angle KLN and MLN are congruent. The segment NK is perpendicular to the line LK and segment NM is perpendicular to the line LM. The length of segment NK is 7x-4 and the length of segment NM is 5x+12. The shape of the figure is like kite.
Mathematics
1 answer:
Vlad1618 [11]3 years ago
4 0

Answer:

Step-by-step explanation:

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3 years ago
A professor finds that the average SAT score among all students attending his college is 1150 ± 150 (μ ± σ). He polls his class
solniwko [45]

Answer:

Step-by-step explanation

Hello!

Be X: SAT scores of students attending college.

The population mean is μ= 1150 and the standard deviation σ= 150

The teacher takes a sample of 25 students of his class, the resulting sample mean is 1200.

If the professor wants to test if the average SAT score is, as reported, 1150, the statistic hypotheses are:

H₀: μ = 1150

H₁: μ ≠ 1150

α: 0.05

Z= \frac{X[bar]-Mu}{\frac{Sigma}{\sqrt{n} } } ~~N(0;1)

Z_{H_0}= \frac{1200-1150}{\frac{150}{\sqrt{25} } } = 1.67

The p-value for this test is  0.0949

Since the p-value is greater than the level of significance, the decision is to reject the null hypothesis. Then using a significance level of 5%, there is enough evidence to reject the null hypothesis, then the average SAT score of the college students is not 1150.

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