Answer:
x^2+2x-15
Step-by-step explanation:
A=L*W
A=(x-3)(x+5)
A=x^2+5x-3x-15
A=x^2+2x-15
hope this helps ya!
can i get brainliest please?
Answer:
The maximum number of hours can be spend on work is 4 hours
Step-by-step explanation:
Given as :
The fixed charge of an auto shop = $100
The labor charge of auto shop = $175 per hour
The maximum money to be spend = $800
Let The maximum number of hours can be spend on work = n hours
<u>According to question</u>
The maximum money to be spend = fixed charge of an auto shop + labor charge of auto shop per hour × maximum number of hours
Or, $800 = $100 + $175 × n
Or, $175 × n = $800 - $100
Or, $175 × n = $700
∴ n = ![\frac{700}{175}](https://tex.z-dn.net/?f=%5Cfrac%7B700%7D%7B175%7D)
i.e n = 4
So, The maximum number of hours can be spend on work = n = 4 hours
Hence, maximum number of hours can be spend on work is 4 hours Answer
the diamiter is 125 meters because
Answer: ![(10.1989,\ 11.0011)](https://tex.z-dn.net/?f=%2810.1989%2C%5C%2011.0011%29)
Step-by-step explanation:
Given : Sample size : n=69
Sample mean : ![\overline{x}=10.6](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%3D10.6)
Standard deviation : ![s=1.7](https://tex.z-dn.net/?f=s%3D1.7)
Significance level : ![\alpha:1-0.95=0.05](https://tex.z-dn.net/?f=%5Calpha%3A1-0.95%3D0.05)
Then , Critical value : ![z_{\alpha/2}=1.96](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3D1.96)
The formula to confidence interval is given by : -
![\overline{x}\pm z_{\alpha/2}\dfrac{s}{\sqrt{n}}\\\\\Rightarrow\ 10.6\pm (1.96)\dfrac{1.7}{\sqrt{69}}\\\\\approx10.6\pm0.4011=(10.6-0.4011,10.6+0.4011)=(10.1989,\ 11.0011)](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%5Cpm%20z_%7B%5Calpha%2F2%7D%5Cdfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%5C%5C%5C%5C%5CRightarrow%5C%2010.6%5Cpm%20%281.96%29%5Cdfrac%7B1.7%7D%7B%5Csqrt%7B69%7D%7D%5C%5C%5C%5C%5Capprox10.6%5Cpm0.4011%3D%2810.6-0.4011%2C10.6%2B0.4011%29%3D%2810.1989%2C%5C%2011.0011%29)
Hence, the 95% confidence interval for the number of chocolate chips per cookie for big chip cookies= ![(10.1989,\ 11.0011)](https://tex.z-dn.net/?f=%2810.1989%2C%5C%2011.0011%29)
Answer:
=- 1/6
Step-by-step explanation:
=7/12 - 3/4
=7-9/12
=-2/12
=-1/6