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3 years ago

What does it mean to say two fractions are equivalent?

2 answers:

6 0

It means that the fractions are equal in a way even though they look different
example: 1/2 and 2/4 are equivalent because they are both half

Sever21 [200]3 years ago

4 0

Yeѕ. lιĸe ιғ yoυ нave 50 dollarѕ and yoυ are тryιng тo collecт 100. 50/100.
ιтѕ eqυal тo 1/2 or тo 2/4.
even ғracтιonѕ and decιмalѕ are ѕoмeтιмeѕ eqυιvalenт... lιĸe 3/4=75%.

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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

Someone help me wiht this geomtry problem asap!!!

Sholpan [36]

Answer:

if you ant to find the area of the traporziord prism you have to multiply the height and with to find the area

4 0

2 years ago

A manufacturing process makes rods that vary slightly in length but follow a normal distribution with mean length 25 cm and stan

Galina-37 [17]

Answer:

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22) = 0.1251

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given mean of the Population = 25cm

Given standard deviation of the Population = 2.60

Let 'x' be the random variable in normal distribution

Given x=22

$Z = \frac{x-mean }{S.D} = \frac{22-25}{2.60} = -1.15$

<u><em>Step(ii):</em></u>-

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22) = P( Z<-1.15)

= 1-P(Z>1.15)

= 1-( 0.5+A(1.15)

= 0.5 - A(1.15)

= 0.5 - 0.3749

= 0.1251

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22) = 0.1251

7 0

3 years ago

Can someone help me do this darn work plz

PSYCHO15rus [73]

Answer:

13. 17/20

14. 11/100

16.) 4 3/10

17.) 7 3/4

19.) -1 3/5-

20.) 3/8

22.) -5 3/5

23.) 1 3/25

26.) 85.33%

5 0

3 years ago

Read 2 more answers

Research indicates that the leading brand of laundry detergent accounted for 35% of the 400,000 total sales in the marketplace.

Lesechka [4]

Answer:

140,000

Step-by-step explanation:

Take 400,000 * 0.35 = 140,000.

When given a percentage, take the number and divide by 100.

In this case 35 / 100 = 0.35.

Then you can take the total amount and multiply it by the percentage in decimal form.

In this case 400,000 * 0.35

5 0

2 years ago