Plz help asap due today ! make sure answers right

Mathematics

1 answer:

Nadya [2.5K]3 years ago

6 0

Answer:

33.5 this answer is rounded of but really answer not rounded is 33.49333333

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Investors buy a studio apartment for $150,000. Of this amount, they have a down payment of $22,500. Their down payment is what p

Dafna11 [192]

(N stands for the number)So we do a simple problem:
$150,000 - N% = $67,500
$150,000 - 45% = $67,500
$67,500 is 45% of $150,000
Down payment answer:
$150,000 - N% = $22,500
$150,000 - 15% = 22,500
$22,500 is 15% of $150,000

8 0

4 years ago

The weight of crackers in a box is stated to be 16 ounces. The amount that the packaging machine puts in the boxes is believed t

krek1111 [17]

Answer:

99.99% probability that the mean weight of a 50-box case of crackers is above 16 ounces

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 $s = \frac{\sigma}{\sqrt{n}}$ .