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zhannawk [14.2K]
3 years ago
12

calculate the average velocity of a dancer who moves 5 m toward the left of the stage over the course of 15 s.

Mathematics
2 answers:
Vesna [10]3 years ago
6 0
V = Displacement / Time
V = 5 m / 15 s
V = 1/3 m/s or 0.33 m/s
astraxan [27]3 years ago
6 0
.33m/s I think.  Just divide each number by 15 to get ?/1second
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Items produced by a manufacturing process are supposed to weigh 90 grams. The manufacturing procon
Annette [7]

Using the normal distribution, it is found that 0.26% of the items will either  weigh less than 87 grams or more than  93 grams.

In a <em>normal distribution</em> with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It 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, which is the percentile of X.

In this problem:

  • The mean is of 90 grams, hence \mu = 90.
  • The standard deviation is of 1 gram, hence \sigma = 1.

We want to find the probability of an item <u>differing more than 3 grams from the mean</u>, hence:

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

Z = \frac{3}{1}

Z = 3

The probability is P(|Z| > 3), which is 2 multiplied by the p-value of Z = -3.

  • Looking at the z-table, Z = -3 has a p-value of 0.0013.

2 x 0.0013 = 0.0026

0.0026 x 100% = 0.26%

0.26% of the items will either  weigh less than 87 grams or more than  93 grams.

For more on the normal distribution, you can check brainly.com/question/24663213

4 0
3 years ago
Evaluate the limit as x goes to infinity of x^3e^-x/5
jekas [21]

Answer: 0

Step-by-step explanation:

\frac{x^{3}e^{-x}}{5}

This could be written as

\frac{x^{3} }{5e^{-x} }

Applying L'H rule and differentiating 3 times , we have

\frac{6}{5e^{x} }

taking the limit as x goes to infinity , we have

0

5 0
3 years ago
Jacinta scores 23, 19, and 27 on three of her four tests. She wants to get an
pochemuha

Answer:

23+19+27+x = 96

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not sure if the answer can be left that way or do you assume that test results are whole numbers, if so then the answer  would b=have to be 28.. but I think that >27 is the answer expected

Step-by-step explanation:

7 0
3 years ago
What is the area of a rectangle that is 1/2 of a meter long and 3/8 of a meter wide?
Margarita [4]

Answer:

Step-by-step explanation:

note : the area of a rectangle  is : A = L ×W

L : lenght    W  : the width

A = (1/2)(3/8) = 3/16 m²

4 0
3 years ago
5. Which equation is an open sentence?
dimaraw [331]

Answer:

a

Step-by-step explanation:

there is an unknown thingy which is x

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