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Tatiana [17]
3 years ago
15

Solve the following system of equations

Mathematics
1 answer:
Mila [183]3 years ago
6 0

Answer:

y= 28/17

x= 57/17

Step-by-step explanation:

5x + 2y = 22

-2x + 6y = 3

(2)(5x + 2y = 22)→ 10x + 4y = 44

(5)(-2x + 6y = 3)→ -10x +30y = 15

Add this last eq → 34y=56 → y= 28/17

Replace this in any equation

-2x + 6(28/17) = 3 →  x= - (54/17-168/17)/2 =  57/17

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Alex777 [14]
Bring them to the same denominator and solve for x
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3 years ago
A horticulturist working for a large plant nursery is conducting experiments on the growth rate of a new shrub. Based on previou
valkas [14]

Answer:

t=\frac{1.8-2}{\frac{0.5}{\sqrt{48}}}=-2.771    

The degrees of freedom are given by:

df=n-1=48-1=47  

And the p value would be:

p_v =P(t_{(47)}    

Since the p value is lower than the significance level we have enough evidence to conclude that the true mean for this case for the growth rate is less than 2cm per week

Step-by-step explanation:

Information given

\bar X=1.8 represent the sample mean for the growth

s=0.5 represent the sample standard deviation    

n=48 sample size    

\mu_o =2 represent the value that we want to compare

\alpha=0.01 represent the significance level

t would represent the statistic    

p_v represent the p value

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean is less than 2cm per week, the system of hypothesis are :    

Null hypothesis:\mu \geq 2    

Alternative hypothesis:\mu < 2    

Since we don't know the population deviation the statistic is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)    

Replacing the info given we got:

t=\frac{1.8-2}{\frac{0.5}{\sqrt{48}}}=-2.771    

The degrees of freedom are given by:

df=n-1=48-1=47  

And the p value would be:

p_v =P(t_{(47)}    

Since the p value is lower than the significance level we have enough evidence to conclude that the true mean for this case for the growth rate is less than 2cm per week

6 0
4 years ago
Help, I’m stuck. Thank you very much
ZanzabumX [31]
If you notice, the container is really just two circles, with a diameter of 4 each, and a square with sides of 10.5.

now, if we just get the area of each circle, keeping in mind their radius is half of the diameter, namely r = 2, and get the area of the 10.5x10.5 square, sum them up, that'd be the surface area of the container.

\bf \stackrel{\textit{2 circle's area}}{2(\pi r^2)}~~+~~\stackrel{\textit{area of the square}}{10.5\cdot 10.5}&#10;\\\\\\&#10;\stackrel{\textit{2 circle's area}}{2(\pi 2^2)}~~+~~\stackrel{\textit{area of the square}}{10.5\cdot 10.5}\implies 8\pi + 110.25
5 0
4 years ago
Simplify 7 - 2(5 - 2x)
igomit [66]

Answer:

4 − 3

Step-by-step explanation:

3 0
3 years ago
2. Which of the following is a linear inequality in two variables?
tester [92]
A !! 7x-4y=3 is linear !!


Please mark BRAINLEST

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3 years ago
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