Answer:
the answer is 71 inches.
Step-by-step explanation:
convert 2ft and 1 yards inches
2ft is 24 because 1 foot is 12 inches
1 yard is 36 inches because 1 yard is 3 feet
3×12=36
soo... 36+24+11=71
Answer:
2
Step-by-step explanation:
Answer:
![99\% CI=4.1602 \pm 0.0009](https://tex.z-dn.net/?f=99%5C%25%20CI%3D4.1602%20%5Cpm%200.0009)
Step-by-step explanation:
From the question we are told that:
Sample size ![n=8](https://tex.z-dn.net/?f=n%3D8)
Mean ![\=x=4.1602](https://tex.z-dn.net/?f=%5C%3Dx%3D4.1602)
Standard deviation ![\sigma=0.001gram](https://tex.z-dn.net/?f=%5Csigma%3D0.001gram)
Generally 99\% confidence from table is mathematically given by
![99\% CI=4.1602 \pm *2.576*\frac{0.001}{\sqrt{{8}}}](https://tex.z-dn.net/?f=99%5C%25%20CI%3D4.1602%20%5Cpm%20%2A2.576%2A%5Cfrac%7B0.001%7D%7B%5Csqrt%7B%7B8%7D%7D%7D)
![P(-z](https://tex.z-dn.net/?f=P%28-z%3Cx%3Cz%29%3D0.99)
![Z_{\alpha/2}=2.576](https://tex.z-dn.net/?f=Z_%7B%5Calpha%2F2%7D%3D2.576)
Generally the equation for 99\% confidence level (CI) is mathematically given by
![99\% CI=\=x \pm Z_{\alpha/2*\frac{\sigma}{\sqrt{{n}}}](https://tex.z-dn.net/?f=99%5C%25%20CI%3D%5C%3Dx%20%5Cpm%20Z_%7B%5Calpha%2F2%2A%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7B%7Bn%7D%7D%7D)
![99\% CI=4.1602 \pm 0.0009](https://tex.z-dn.net/?f=99%5C%25%20CI%3D4.1602%20%5Cpm%200.0009)
X^2 - 49 = (x + 7)(x - 7) = x^2 - 7x + 7x = 49 = x^2 - 49
Let 'x' be the problems worth 2 points.
Let 'y' be the problems worth 3 points.
Since, there are 38 total problems.
So,
(equation 1)
x = 38-y
Since, a perfect score is 100 points.
So,
(equation 2)
Substituting the value of 'x', we get
![2(38-y)+3y=100](https://tex.z-dn.net/?f=2%2838-y%29%2B3y%3D100)
![76-2y+3y=100](https://tex.z-dn.net/?f=76-2y%2B3y%3D100)
![76+y = 100](https://tex.z-dn.net/?f=76%2By%20%3D%20100)
y = 24
x+y = 38
x = 38-24 = 14
So, 14 problems are worth 2 points and 24 problems are worth 3 points.