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Gekata [30.6K]
3 years ago
8

Solve each linear equation 3x+2y=10 and 3x-y=22

Mathematics
2 answers:
grigory [225]3 years ago
3 0
(x,y)=(6,-4)

1: 3x-y=22
2: 3x+2y=10
AlexFokin [52]3 years ago
3 0
The first one would be X= (10/3 ,0)  Y= (0,5) and the second one is X=(22/3,0)  Y=(0,-22)
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Question
AlekseyPX

Answer:

The population mean is 5 volts

Step-by-step explanation:

Output voltage is assumed to be normally distributed, with standard deviation 0.25 Volts

s=0.25

n = 8

H_0:\mu = 5\\H_a:\mu \neq 5

Sample mean = \bar{x}=4.85

Since n < 30 and population standard deviation is unknown

So, we will use t test

Formula : t = \frac{x-\mu}{\frac{s}{\sqrt{n}}}

t = \frac{4.85-5}{\frac{0.25}{\sqrt{8}}}

t=-1.69

Refer the t table for p value

Degree of freedom = n-1 = 8-1 = 7

So,t_{(df,\alpha)}=t_{7,0.05}=2.365

P value >α

So, We are failed to reject null hypothesis

Hence The population mean is 5 volts

7 0
3 years ago
Rearrange the formula to make x the subject.<br><br> y = x -5
poizon [28]

Answer:

x=y+5

Step-by-step explanation:

y=x-5

y+5=x

x=y+5

3 0
3 years ago
1/4 + 2/8 <br>adding fractions with unlike denominators show the work
BARSIC [14]
<span>The common denominator of the two fractions is: 8 
</span><span>1/4 = (1*2)/(2*4) = 2/82/8 = (1*2)/(1*8) = 2/8 
<span>Fractions adjusted to a common denominator1/4 + 2/8 = 2/8 + 2/82/8 + 2/8 = (2+2)/8(2+2)/8 = 4/84/8 = 1/2
The answer is 1/2. 

hope this helps. </span></span>

4 0
3 years ago
Read 2 more answers
Please explain! <br><br> 1/2x+1/8y=3<br><br> Solve in Slope Intercept form.
charle [14.2K]

Answer:

y = 4x + 24

Step-by-step explanation:

The slope is the number in front of the x-value.

Slope intercept form is in the form of

y = mx + b  (or as how I learned it)

m is the slope, and b is the y-intercept (the number that is left on the side.)

You can rearrange this by moving the x to the right side by subtracting it from both sides.

You now have 1/8y = 3 - 1/2x

which can be rearranged to

1/8y = -1/2x + 3.

You need to change the y to 1 whole instead of 1/8, so you multiply it by 8 since 8 divided by 8 is 1.

y = -4x + 24

6 0
3 years ago
Clintons garden is 32.55 m long and 12.50 m wide. Write the l
svlad2 [7]
Formula:
P = 2(L + W)
so
P = 2(32.55 + 12.50)


8 0
3 years ago
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