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Leokris [45]
2 years ago
5

How many is 50% of a class?a.1/3 b.1/2c.1/4d.5/6​

Mathematics
2 answers:
sleet_krkn [62]2 years ago
7 0

Answer:

B

Step-by-step explanation:

50 is half of something like if u give your friend half of your cookie you gave them 50% of it

MrMuchimi2 years ago
4 0

Answer:

b) 1/2

Step-by-step explanation:

1/2 is 50% of a class.

→ 100 × 1/2

→ 50

Hence proved.

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4- A manufacturing process produces items whose weights are normally distributed. It is known that 22.57% of all the items produ
galben [10]

Answer:

\\ \mu = 118\;grams\;and\;\sigma=30\;grams

Step-by-step explanation:

We need to use z-scores and a standard normal table to find the values that corresponds to the probabilities given, and then to solve a system of equations to find \\ \mu\;and\;\sigma.

<h3>First Case: items from 100 grams to the mean</h3>

For finding probabilities that corresponds to z-scores, we are going to use here a <u>Standard Normal Table </u><u><em>for cumulative probabilities from the mean </em></u><em>(Standard normal table. Cumulative from the mean (0 to Z), 2020, in Wikipedia) </em>that is, the "probability that a statistic is between 0 (the mean) and Z".

A value of a z-score for the probability P(100<x<mean) = 22.57% = 0.2257 corresponds to a value of z-score = 0.6, that is, the value is 0.6 standard deviations from the mean. Since this value is <em>below the mean</em> ("the items produced weigh between 100 grams up to the mean"), then the z-score is negative.

Then

\\ z = -0.6\;and\;z = \frac{x-\mu}{\sigma}

\\ -0.6 = \frac{100-\mu}{\sigma} (1)

<h3>Second Case: items from the mean up to 190 grams</h3>

We can apply the same procedure as before. A value of a z-score for the probability P(mean<x<190) = 49.18% = 0.4918 corresponds to a value of z-score = 2.4, which is positive since it is after the mean.

Then

\\ z =2.4\;and\; z = \frac{x-\mu}{\sigma}

\\ 2.4 = \frac{190-\mu}{\sigma} (2)

<h3>Solving a system of equations for values of the mean and standard deviation</h3>

Having equations (1) and (2), we can form a system of two equations and two unknowns values:

\\ -0.6 = \frac{100-\mu}{\sigma} (1)

\\ 2.4 = \frac{190-\mu}{\sigma} (2)

Rearranging these two equations:

\\ -0.6*\sigma = 100-\mu (1)

\\ 2.4*\sigma = 190-\mu (2)

To solve this system of equations, we can multiply (1) by -1, and them sum the two resulting equation:

\\ 0.6*\sigma = -100+\mu (1)

\\ 2.4*\sigma = 190-\mu (2)

Summing both equations, we obtain the following equation:

\\ 3.0*\sigma = 90

Then

\\ \sigma = \frac{90}{3.0} = 30

To find the value of the mean, we need to substitute the value obtained for the standard deviation in equation (2):

\\ 2.4*30 = 190-\mu (2)

\\ 2.4*30 - 190 = -\mu

\\ -2.4*30 + 190 = \mu

\\ \mu = 118

7 0
3 years ago
IMPORTANT NEED RIGHT NOW!! PLEASE HELP!!! WILL VOTE BRAINLIEST!!!
irina1246 [14]
Week 1: 50
2: 100
3: 200
4: 400
5: 800
6: 1600
7: 3200
8: 6400
4 0
3 years ago
Read 2 more answers
How to write the number in 4different ways
mario62 [17]
Lets say the number is 155:

100 + 50 + 5

one hundred and fifty-five

155

idk the last one tho

there should be only 3 ways, plz double check

3 0
3 years ago
Solve the equation 15x + 8 = y + 13 for x if y is 40. Make sure to first solve the equation for x in terms of y.
Nataly_w [17]

Answer:

3

Step-by-step explanation:

15x +8 =40 +13

15x + 8=53

15x=45

3

4 0
3 years ago
Read 2 more answers
What is the surface area in square inches of a cube with a side 7<br> inches long?<br> 10
SVETLANKA909090 [29]

Answer:

28

Step-by-step explanation:

7x4

5 0
2 years ago
Read 2 more answers
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