Correct answers only please!

Mathematics

2 answers:

vesna_86 [32]3 years ago

7 0

Answer:

answer is a

Step-by-step explanation:

18.5+24.25+24.675+17.75=85.175

Crank3 years ago

3 0

Answer:

The correct option is A.

Step-by-step explanation:

Given information:

Homework {90, 94, 96, 90}

Class Participation {95, 99}

Test Grades {87, 75, 82 ,85}

Final Exam Grade {71}

Homework is weighted 20%, Class Participation is 25%, Test Grades are 30%, and Final Exam is 25%.

$Homework=\frac{90+94+96+90}{4}\times \frac{20}{100}=18.5$

$\text{Class Participation}=\frac{95+99}{2}\times \frac{25}{100}=24.25$

$\text{Test Grades}=\frac{87+75+82+85}{4}\times \frac{30}{100}=24.675$

$\text{Final Exam Grade}=71\times \frac{25}{100}=17.25$

Course average in AMDM is

$18.5 + 24.25 + 24.675 + 17.75=85.175\approx 85$

Therefore the correct option is A.

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A battery has a lifetime that is approximately normally distributed with a mean of 600 hours and a standard deviation of 50 hour

miss Akunina [59]

Answer:

A. Your battery is likely defective since such poor performance is extremely unlikely.

Step-by-step explanation:

When the distribution is normal, we use 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.

If X is more than two standard deviations from the mean, it is considered an unlikely outcome.

In this question, we have that:

$\mu = 600, \sigma = 50$