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jeka94
3 years ago
7

I’m currently having a rough time in my math class. Can anyone please help me out with some of my questions? It would be so appr

eciated
Mathematics
1 answer:
notka56 [123]3 years ago
5 0

Answer:

whats the question

Step-by-step explanation:

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Solve by substitution. Show each step of your work.
zaharov [31]

5x + y = 15

y = -5x + 15

Substituting y= -5x+15 from first equation into second equation:

3x + 2y = 16

3x + 2·(-5x + 15) = 16

3x - 10x + 30 = 16

-7x + 30 = 16

7x = 30 - 16 = 14

x = 2

Substituting x=2 into the first equation:

5x + y = 15

5(2) + y = 15

10 + y = 15

y = 15 - 10

y = 5

So your final answers are x=2 and y=5.

3 0
2 years ago
Read 2 more answers
We wish to give a 90% confidence interval for the mean value of a normally distributed random variable. We obtain a simple rando
coldgirl [10]

Answer: (9.27025,\ 11.12975)

Step-by-step explanation:

Given : Sample size : n= 9

Degree of freedom = df =n-1 =8

Sample mean : \overline{x}=10.2

sample standard deviation : s= 1.5

Significance level ; \alpha= 1-0.90=0.10

Since population standard deviation is not given , so we use t- test.

Using t-distribution table , we have

Critical value = t_{\alpha/2, df}=t_{0.05 , 8}=1.8595

Confidence interval for the population mean :

\overline{x}\pm t_{\alpha/2, df}\dfrac{s}{\sqrt{n}}

90% confidence interval for the mean value will be :

10.2\pm (1.8595)\dfrac{1.5}{\sqrt{9}}

10.2\pm (1.8595)\dfrac{1.5}{3}

10.2\pm (1.8595)(0.5)

10.2\pm (0.92975)

(10.2-0.92975,\ 10.2+0.92975)

(9.27025,\ 11.12975)

Hence, the 90% confidence interval for the mean value= (9.27025,\ 11.12975)

6 0
3 years ago
Help pwease with a cherry on top
Sophie [7]

Answer:

I think it's D sorry if I get it wrong

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
"twelve diminished by six times a number
Mnenie [13.5K]
The answer to the problem is 12-6x
7 0
3 years ago
Solve for b.<br><br> 3 (b−4 )+ 5b = 44<br><br><br> b =
Sergeu [11.5K]
B=7
3(b-4)+5b=44
3b-12+5b=44
8b=44+12
8b=56
b=7
7 0
2 years ago
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