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IRINA_888 [86]
3 years ago
11

The difference of 1/2 of one number and 2/3 of another number is equal to 2. If the first number were to decrease by 5/6 of it,

and the second number were to increase by 1/6 of it, their sum would be equal to 59. Find the two numbers.
PLZ explain too.
Mathematics
1 answer:
Cerrena [4.2K]3 years ago
5 0
One of the numbers is 60

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A local water company charges a flat fee of $5 per month, plus $0.0007 per gallons, and $0.0009 per gallon for every gallon for
cestrela7 [59]

Answer:

Total cost= $51

Step-by-step explanation:

<u>Giving the following information: </u>

Fixed cost= $5

From 0 to 40,000 gallons= $0.0007 per gallon

From 40,001 to infinity= $0.0009

<u>We need to calculate the total cost for 60,000 gallons:</u>

Total cost= 5 + 40,000*0.0007 + 20,000*0.0009

Total cost= $51

7 0
3 years ago
Some college graduates employed full-time work more than hours per week, and some work fewer than hours per week. We suspect tha
Alex_Xolod [135]

Answer:

a)Null hypothesis:\mu =40      

Alternative hypothesis:\mu \neq 40      

b) A Type of error I is reject the hypothesis that \mu is equal to 40 when is fact \mu is equal to 40c) We can commit a Type II Error, since by definition "A type II error is the non-rejection of a false null hypothesis and is known as "false negative" conclusion"Step-by-step explanation:Assuming this problem: "Some college graduates employed full-time work more than 40 hours per week, and some work fewer than 40 hours per week. We suspect that the mean number of hours worked per week by college graduates, [tex]\mu , is different from 40 hours and wish to do a statistical test. We select a random sample of college graduates employed full-time and find that the mean of the sample is 43 hours and that the standard deviation is 4 hours. Based on this information, answer the questions below"

Data given

\bar X=43 represent the sample mean

\mu population mean (variable of interest)

s=4 represent the sample standard deviation

n represent the sample size  

Part a: System of hypothesis

We need to conduct a hypothesis in order to determine if actual mean is different from 40 , the system of hypothesis would be:    

Null hypothesis:\mu =40      

Alternative hypothesis:\mu \neq 40      

Part b

In th context of this tes, what is a Type I error?

A Type of error I is reject the hypothesis that \mu is equal to 40 when is fact [tex]\mu is equal to 40

Part c

Suppose that we decide not to reject the null hypothesis. What sort of error might we be making.

We can commit a Type II Error, since by definition "A type II error is the non-rejection of a false null hypothesis and is known as "false negative" conclusion"

5 0
3 years ago
Read 2 more answers
The radius of this ball is 15 inches. Which equation gives the ball's surface area, in square inches?
lilavasa [31]

Best to look up the formula for the surface area of a sphere and then find it:

A = 4πr^2, where r is the radius of the sphere.  Then,

A = 4π(15 in)^2 = 4(3.14)(225 in^2) =  2826 in^2 (answer)

This is represented by the formula given in the lower left.

8 0
4 years ago
Read 2 more answers
You and a friend are sharing a 3/8 bag of candy how much do you get equally
-BARSIC- [3]

Answer:

If both of them got the same amount of the bag then they each got 3/16 of the bag

4 0
3 years ago
child admission is $5.90 and adult admission is $9.10 . 175 tickets were sold for a total sales of $1282.10 . How many child tic
GenaCL600 [577]

Answer:

Child tickets are 97

Step-by-step explanation:

x + y = 175 ...............(1)

x = 175 - y

5.90x + 9.10y = 1282.10. .........(2)

5.90 (175 - y) + 9.10y = 1282.10

1032.50 - 5.9y + 9.10y = 1282.10

3.2y = 249.60

y = 249.6. / 3.2

y = 78

From equation 1

x + y = 175

x + 78 = 175

x = 175 - 78

x = 97

8 0
3 years ago
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