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DochEvi [55]
3 years ago
8

In 2008, the total trade between the United States and Japan was $2.04 x 101^1. The total trade between the U.S. And Australia w

as $3.28 x 10^10. How many times greater was the trade with Japan than the trade with Australia? Write your answer in scientific notation.
Mathematics
1 answer:
jolli1 [7]3 years ago
3 0

Answer:

6.21 times more

Step-by-step explanation:

Assuming 2.04 x 10^11 was only a typo

you would need to first equal the powers of 10

so 20.4 x 10^10 and 3.28 x 10^10

now that they have the same powers

\frac{20.4 * 10^{10}}{3.28 * 10^{10}}  = \frac{20.4}{3.28} = 6.219512...

if it's asking for how many times i would approximate it to 6.21 times more

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Hello hope your day is well i really need help with this expand question 4(a+5)-2(a-5)
BARSIC [14]

Answer:

2a + 30

Step-by-step explanation:

break it down so it is 4(a+5)

then work out -2(a-5)

so 4 x a then 4 x 5 which gives 4a + 20

then -2 x a then -2 x -5 which gives -2a + 10

then when you have 4a + 20 -2a + 10

do 4a - 2a which is 2a

do 20 + 10 which is 30

so the answer comes to 2a + 30

if anything doesnt seem right just comment and i will correct

hope this helps :)

6 0
3 years ago
Read 2 more answers
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
Sally has twice as many dimes as nickels. The total value is $3.50 how many nickels and dimes does she have?
Murljashka [212]
D=2n
.05n+.1d=3.5
I multiplied the nickels and dimes by these values because that is their actual monetary value 
.05n=3.5-.1d
multiply everything by 20
n=70-2d
d/2=70-2d
.5d+2d=70 
2.5d=70
d=28 
n=14 
so there are <u>28 dimes and 14 nickels 
</u>
checking this answer 
28 dimes = $2.8
14 nickels = .70
2.8+.7=3.5

3 0
3 years ago
Read 2 more answers
Someone asap
serg [7]
It’s A because I did the test lmafo
5 0
3 years ago
Tell whether the ordered pair (−1, 4) is a solution of the system.<br><br> -2x-3y=-10<br> -3x+y=7
LuckyWell [14K]

Answer:

-1

Step-by-step explanation:

5 0
3 years ago
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