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Sidana [21]
3 years ago
11

A machine can bind 500 yearbooks in 3 hours. How many hours will it take to bind 1800 yearbooks?​

Mathematics
1 answer:
Akimi4 [234]3 years ago
7 0

Answer:

10.8 hours

Step-by-step explanation:

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Why is the numbers 2,-3,5,0,-1 a integer number
Ivan

Because they dont have variables

7 0
3 years ago
The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 104 inches, and a standard
dsp73

Answer:

91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

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 = 104, \sigma = 14, n = 49, s = \frac{14}{\sqrt{49}} = 2

What is the probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

This is the pvalue of Z when X = 106.8. So

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

By the Central Limit Theorem

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

Z = \frac{106.8 - 104}{2}

Z = 1.4

Z = 1.4 has a pvalue of 0.9192

0.9192 = 91.92% probability that the mean annual precipitation during 49 randomly picked years will be less than 106.8 inches

8 0
3 years ago
The solution of the following equation as 0.15 ( 10t - 9= 0.75 (4t - 3)​
Alenkinab [10]

Answer:

\huge\boxed{\sf t = 0.6}

Step-by-step explanation:

\sf 0.15(10t-9) = 0.75(4t-3)\\\\Resolving \ Parenthesis\\\\1.5t-1.35 = 3t - 2.25\\\\Combining \ like \ terms\\\\-1.35 + 2.25 = 3t-1.5t\\\\0.9 = 1.5t\\\\Dividing \ both \ sides \ by \ 1.5\\\\0.9/1.5 = t\\\\0.6 = t\\\\OR\\\\\bold{t = 0.6}

Hope this helped!

<h2>~AnonymousHelper1807</h2>
4 0
3 years ago
Given the data: 136, 150, 119, 150, 125, 143.<br> Find the range.
kodGreya [7K]
Range = max-min= 150-119 = 31
4 0
2 years ago
28= -2u<br> u= ?<br> Basically, U equals what?
vredina [299]
Answer: U=-14
Explanation:
4 0
2 years ago
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