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geniusboy [140]
3 years ago
5

Order these numbers from least to greatest. 11 , 3.30 , 175 , −10

Mathematics
1 answer:
timurjin [86]3 years ago
5 0
If you would like to order the following numbers from least to greatest, you can do this using the following steps:

<span>11, 3.30, 175, - 10
</span>- 10 < 3.30 < 11 < 175

The correct result would be <span>- 10 < 3.30 < 11 < 175</span>.
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According to the Bureau of Labor Statistics it takes an average of 16 weeks for young workers to find a new job. Assume that the
Leya [2.2K]

Answer:

1.25% probability that 20 young workers average less than 15 weeks to find a job

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 random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 16, \sigma = 2, n = 20, s = \frac{2}{\sqrt{20}} = 0.4472

What is the probability that 20 young workers average less than 15 weeks to find a job?

This is the pvalue of Z when X = 15. So

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

By the Central Limit Theorem

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

Z = \frac{15 - 16}{0.4472}

Z = -2.24

Z = -2.24 has a pvalue of 0.0125.

1.25% probability that 20 young workers average less than 15 weeks to find a job

5 0
3 years ago
Connor is going to see a movie and is taking his 4 kids. Each movie ticket costs $13 and there are an assortment of snacks avail
EleoNora [17]

If Connor buys 3 snacks at 3 dollars each for himself and his 3 children, the net cost (including movie tickets) would be 88 dollars.

If he buys x amount of snacks, his cost will be determined by C=52+3x or C=52+3*x (both are equivalent, but not everyone knows every way to represent multiplication)

Step-by-step explanation:

To find the cost of the snacks:

Cost = Price*NumberOfSnacks, or C=p*n, or C=pn

To find the unit cost of the snack, find the price, the p value, which is 3 dollars.

Then, find the total number of snacks that will be bought. Since each person receives an equal number of snacks, 3 per person, and there are 4 people (himself and his 3 children), we can multiply 3*4 to find the n value, which is now known to be 12.

C=3*12=36. Add to the 13 dollar per person charge for tickets (52 dollars for 4 people), and you get 88 dollars.

To find the cost if he buys x amount of snacks for himself and his 3 children (assumed to be "everyone"), all costs but the n value are to be the same, creating this equation:

C=52+3x

In this context, 52 is the cost of movie tickets, 3 is the cost of the snacks, and x is the total number of snacks bought. C represents total cost.

5 0
3 years ago
Evaluate the following when $a = 3$, $b = \frac14$, and $c = 5$: \[ \frac{b^{-1}}{ca^{-1} - ac^{-1}}. \] Thank you so much!
pickupchik [31]

\dfrac{b^{-1}}{ca^{-1}-ac^{-1}}=\dfrac{\frac1b}{\frac ca-\frac ac}

Multiply the numerator and denominator by ac:

\dfrac{\frac1b}{\frac ca-\frac ac}\cdot\dfrac{ac}{ac}=\dfrac{\frac{ac}b}{c-a}

Since b=\frac14, we have b^{-1}=\frac1b=4. So substituting the values of <em>a</em>, <em>b</em>, and <em>c</em> gives us

\dfrac{\frac{ac}b}{c-a}=\dfrac{3\cdot5\cdot4}{5-3}=\dfrac{60}2=\boxed{30}

4 0
3 years ago
Read 2 more answers
1100 divided 40 long division
Artemon [7]
Thats the answer hopes rhis helps

4 0
3 years ago
A researcher provides 10 children $100 each and another 10 children $20 each. She tracks how they decide to spend the money.
kondor19780726 [428]

Answer:

C is the answer

Step-by-step explanation:

Its An experimental study that is a statistical study because it provides the researcher drawing back statistics from the children and its experimental because its based off of an experiment

5 0
3 years ago
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