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harkovskaia [24]
3 years ago
9

20 POINTS!!! Please Help

Mathematics
1 answer:
Yuri [45]3 years ago
7 0

Answer

I'll help with part a.

Convert revolutions per minute to revolutions per second. Next, convert from revolutions per second to radians per second. Finally, plug the numbers into the formula for angular velocity (this involves the diameter/radius value)

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What is the value of the missing angle??
Mice21 [21]

Answer:

39°

Step-by-step explanation:

51° +? = 90°

? = 90° - 51°

? = 39°

Hope it helps you in your learning process.

4 0
3 years ago
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
3. A ladder is 50 feet and cast a 25 foot shadow. Mark is 6 feet how long would his shadow be?
Gala2k [10]

Answer:

3 feet

Step-by-step explanation:

half his height

6 0
2 years ago
Read 2 more answers
Slove the equation below for y : <br><br> 6x-4y=12
Scilla [17]

Answer:

y=-\frac{3(x +2)}{2}

Step-by-step explanation:

We have an equation, and the question is asking for us to solve y. So to solve, we have to isolate y.

6x - 4y = 12

Subtract 6x from both sides :

-4y = 12 - 6x

Divide both sides by -4 :

y=-\frac{3(x+2)}{2}

8 0
3 years ago
Find the value of x in the image
Ber [7]

Answer:

50

Step-by-step explanation:

a pentagon has a total of 540 degrees

105, 115, 110, 180-2x, 180-3x are the interior angles (subtract each from 180 because they're on lines)

540= 105+115+110+(180-2x)+(180-3x)

540=330 +(180-2x)+(180-3x)

210=360-5x

-150=-5x

50=x

4 0
3 years ago
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