5. A basketball team played a total of 154 games last season. The number of games won, W,

-2(4n-6)=22 what is n?

Anna71 [15]

Answer: n = 5/4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−2(4n−6)=22

(−2)(4n)+(−2)(−6)=22(Distribute)

−8n+12=22

Step 2: Subtract 12 from both sides.

−8n+12−12=22−12

−8n=10

Step 3: Divide both sides by -8.

-8n/-8 = 10/-8

n = 5/4

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3 years ago

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RADIATION ON MARS

Darina [25.2K]

Answer:

0.71% probability that the daily average amount of radiation received by a rover will exceed 102

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .