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zlopas [31]
3 years ago
6

5x-y=-1 + -5x+3y=25 ___________

Mathematics
1 answer:
lawyer [7]3 years ago
4 0

Answer:

x =2.2 y= 12

Step-by-step explanation:

Add the two equations 5x-5x is zero

_y +3y =24

-1+25=24

so the equation becomes 2y=24

y=12

5x-12=-1

5x=-1+12

5X=11

so x = 2.2 y =12

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Among a sample of 55 male soldiers the average shower time was found to be 2.95 minutes and the population standard deviation is
Oksanka [162]

Answer: -3.0593

Step-by-step explanation:

The test statistic for the difference between two population mean (when population standard deviations \sigma_1\ \&\ \sigma_2  are known ) is given by :-

z=\dfrac{\overline{x}_1-\overline{x}_2}{\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}}

where ,

n_1\ \&\ n_2 = Sample sizes taken from two  populations 1 and 2.

\overline{x}_1-\overline{x}_2 = Difference between two Sample mean.

\sigma_1\ \&\ \sigma_2 = Standard deviations of populations 1 and 2.

As per given , we have

n_1=55\ \&\ n_2=58

\overline{x}_1=2.95\ \&\ \overline{x}_2=3.3

\sigma_1=0.65\ \&\ \sigma_2=0.56

We assume that the data follows a normal distribution.

Then, the test statistic will be :-

z=\dfrac{2.95-3.3}{\sqrt{\dfrac{(0.65)^2}{55}+\dfrac{(0.56)^2}{58}}}\\\\=\dfrac{-0.35}{\sqrt{0.0130887}}\\\\=\dfrac{-0.35}{0.1144059}=3.05928278174\approx-3.0593  

Hence, the test statistic= -3.0593

5 0
4 years ago
In a candy mix there are 44 green bars for every 33 red bars. How many red bars are there if there are 200200 green bars?
tiny-mole [99]
The ratio of green bars to red bars is 44:33 which simplified is 4:3.

We can set up an equation to find number of red bars:

Since the ratio stays the same, # of green bars / # of red bars = 4/3,

so 200200/x = 4/3 where x = # of red bars.

Now solve for x:

200200/x = 4/3 
(cross multiply)   
200200*3 = 4*x
600600 = 4x
600600/4 = x
x = 150150

There 150150 red bars if there are 200200 green bars.

Hope this answers your question!












4 0
4 years ago
I have two problems in the pictures. I need a bit of help! Please and thank you!
rusak2 [61]

Answer:

Answers are below.

Step-by-step explanation:

Problem 2:

Area = approx. 11.3 (rounded to nearest tenth)

A = 1 / 4b \sqrt{4a^{2} - b^{2}  = } 1/4 x 4 x \sqrt{4 *6^2 - 4^2}= 11.31371

11.31371 rounded to the nearest tenth is 11.3

Problem 3: i'm not too sure sorry :(

6 0
3 years ago
Read 2 more answers
(6+√25)/(4-√3) can be written in the form of (2+s√3)/13 where r and s are both integers what are the values of r and s
cestrela7 [59]

Answer:

r = 33

s = 18

Step-by-step explanation:

Given expression is \frac{6+\sqrt{27}}{4-\sqrt{3}}.

Multiply numerator and denominator with the conjugate of (4 - √3).  

\frac{(6+\sqrt{27})(4+\sqrt{3})}{(4-\sqrt{3})(4+\sqrt{3})}

= \frac{4(6+\sqrt{27})+\sqrt{3}(6+\sqrt{27})}{4^{2}-(\sqrt{3})^2}

= \frac{24+4\sqrt{27}+6\sqrt{3}+\sqrt{81})}{16-3}

= \frac{24+12\sqrt{3}+6\sqrt{3}+\sqrt{81})}{16-3}

= \frac{24+18\sqrt{3}+9}{13}

= \frac{33+18\sqrt{3}}{13}

Now compare this expression with \frac{r+s\sqrt{3} }{13}

r = 33

s = 18

3 0
3 years ago
X=y^2+6y+1 what is the vertex form of the equation?
timama [110]
<span>x=y^2+6y+1 what is the vertex form of the equation?

x=(y+3)^2  -8 hope this helped</span>
7 0
3 years ago
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