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mote1985 [20]
3 years ago
13

Determine the Prime factorization of each number. 36 b. 120 c. 258 d. 63

Mathematics
2 answers:
Snezhnost [94]3 years ago
5 0

Answer:

the answer to this question is 36

Paha777 [63]3 years ago
5 0

Answer:

36

Step-by-step explanation:

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X/3=-19<br> What is the value of x
Molodets [167]
<h3>I'll teach you how solve X/3=-19</h3>

-----------------------------------------------

X/3=-19

Multiply both sides by 3:

3x/3= 3(-19)

Simplify:

x= -57

Your Answer Is x= -57

plz mark me as brainliest :)

8 0
3 years ago
Read 2 more answers
A plane averaged 500 mph on a trip going east, but only 200 mph on the return trip. The total flying time in both directions was
adoni [48]

Let's assume time taken by plane on one way distance as 't'

The total flying time in both directions was 10.5 hr

so, time taken in other direction =10.5-t

now, we are given

A plane averaged 500 mph on a trip going east

so, total distance of one way is

=500t

total distance of other way is

=200(10.5-t)

now, we can that distance is same from both sides

so, we get

500t=200(10.5-t)

now, we can solve for t

500t=2100-200t

700t=2100

t=3

now, we can find one way distance

=500\times 3

=1500miles..............Answer

6 0
3 years ago
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
Randy has 53 inches of ribbon that he cuts into 8 pieces of equal length. What is the length of each piece of ribbon, in inches?
maw [93]

Answer:

6.625 inches or 6 5/8 inches

and the drop down hopefully will let you choose "between 6 and 7 inches"

Step-by-step explanation:

53/8 = 6.625

0.625 = 5/8

Let me know if you have questions about this. Have a good night.

6 0
2 years ago
mark purchased a new motorcycle for $23,000. F the value of the motorcycle decreases by 151 each year, what will it be worth in
HACTEHA [7]
151 * 5 = 755
23,000 - 755 = 22,245

It'll be worth $22,245 in 5 years.
4 0
3 years ago
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