$2x +y = 20~~....(i)\\\\6x -5y = -4~~....(ii)\\\\\\\text{Multiply equation (i) by 3:}\\\\6x +3y = 60~~...(iii)\\\\(iii)-(ii):\\\\6x+3y - 6x+5y = 60-(-4)\\\\\implies 8y = 60+4 = 64\\\\\implies y = \dfrac{64}8\\\\\implies y = 8\\\\\\\text{Substitute y =8 in equation (i):}\\\\2x+8 =20\\\\\implies 2x = 20-8 = 12\\\\\implies x = \dfrac{12}2 = 6\\\\\text{Hence (x,y) = (6, 8)}$

4 0

2 years ago

Read 2 more answers

What is 4.292 in word form?

LuckyWell [14K]

Answer:

four and two hundred ninety-two thousandths.

7 0

3 years ago

A normal distribution has a mean of 85.3 and a standard deviation of 4.85. Find the data value corresponding to the value of z g

Mazyrski [523]

Answer: 87.9675

Step-by-step explanation:

Formula for z:

$z=\dfrac{x-\mu}{\sigma}$ , where x= data value corresponding to z, $\mu$ = mean, $\sigma$ = standrad deviation.

Given: $\mu$ =85.3, $\sigma$ =4.85, z=0.55

To find : x

$0.55=\dfrac{x-85.3}{4.85}\\\\\Rightarrow\ 0.55\times4.85=x-85.3\\\\\Rightarrow\ 2.6675=x-85.3\\\\\Rightarrow\ x=85.3+2.6675\\\\\Rightarrow\ x=87.9675$

Hence, The required data value= 87.9675

6 0

3 years ago