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xxMikexx [17]
2 years ago
12

3x+2y=10 and 2x+3y=-3

Mathematics
1 answer:
defon2 years ago
8 0

Answer: x =  −2 /3 y +  10 /3  and x =  −3/ 2 y +  −3 /2

Step-by-step explanation:

1. 3x+2y=10

3x+2y=10

3x+2y+−2y=10+−2y

3x=−2y+10

3x /3  =  −2y+10 /3

x =  −2 /3 y +  10 /3

2. 2x+3y=−3

2x+3y=−3

2x+3y+−3y=−3+−3y

2x=−3y−3

2x /2 = −3y−3/2

x =  −3/ 2 y +  −3 /2

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What is 800-5x divided by 6.5
MA_775_DIABLO [31]

Answer:10 over 13 x

Step-by-step explanation: convert the decimal number into a fraction 800-5x divided by 13 over 2

to divided by a fraction , multiply by the reciprocal of that fraction 800-5x x2 over 13

factor out 5 from the expression 5(160-x x2over 13) use the commutative property to reorder the terms 5(160-2over 13x) factor out 1 over 13 from the expression 5x 1 over 13x(2080-2x)factor out 2 from the expression 5x 1 over13 x2(1040-x)use the commutative property to recorder the terms 5*2x 1 over 13x (1040x) calculate the product 10 over 13x(1040-x) solution 10 over 13x (1040-x)

for simplify expression: covert the decimal number into a fraction 800-5x divided by 13 over 2 to divide by a fraction , multiply by the reciprocal of that fraction 800-5x x2 over 13 calculate the product 800- 10 over 13x

solution: 800-10 over 13x so your answer would still be

8 0
3 years ago
Suppose that the sample standard deviation was s = 5.1. Compute a 98% confidence interval for μ, the mean time spent volunteerin
NISA [10]

Answer:

The 95% confidence interval would be given by (5.139;5.861)  

Step-by-step explanation:

1) Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

2) Confidence interval

Assuming that \bar X =5.5 and the ranfom sample n=1086.

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=1086-1=1085

Since the Confidence is 0.98 or 98%, the value of \alpha=0.02 and \alpha/2 =0.01, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.01,1085)".And we see that t_{\alpha/2}=2.33

Now we have everything in order to replace into formula (1):

5.5-2.33\frac{5.1}{\sqrt{1086}}=5.139    

5.5+2.333\frac{5.1}{\sqrt{1086}}=5.861

So on this case the 95% confidence interval would be given by (5.139;5.861)    We are 98% confident that the mean time spent volunteering for the population of parents of school-aged children is between these two values.

5 0
3 years ago
A farm processes 6,000 gallons of milk every hour. Which equation represents the amount of milk, y, that the farm processes in x
Free_Kalibri [48]

Answer:

c

Step-by-step explanation:

if y is equal to the amount of milk and 6000 gallons are made an hour then you have to multiply the amount of hours(x) by the 6000 gallons of milk made in 1 hour so y=6000x

4 0
3 years ago
Is 1,341,491 divisible by 9?
zheka24 [161]

Answer:

no

Step-by-step explanation:

you would get this: 149054.555556

8 0
2 years ago
Read 2 more answers
Show me a step by step work and solve the problem
AveGali [126]
What’s the question?
6 0
3 years ago
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