Answer:
1.5 Liters
Step-by-step explanation:
4.5 / 3 = 1.5 or 1 and 2/4
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Answer:
27/40
Step-by-step explanation:
Probability of picking heart: 3 hearts/ 10 total
Probability of picking club: 4 clubs/ 9 left over cards
3/10 divided by 4/9= 27/40
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Answer: <u>56.9</u> years to <u>63.1</u> years.
Step-by-step explanation:
Confidence interval for population mean (when population standard deviation is unknown):
![\overline{x}\pm t_{\alpha/2}{\dfrac{s}{\sqrt{n}}}](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%5Cpm%20t_%7B%5Calpha%2F2%7D%7B%5Cdfrac%7Bs%7D%7B%5Csqrt%7Bn%7D%7D%7D)
, where
= sample mean, n= sample size, s= sample standard deviation,
= Two tailed t-value for
.
Given: n= 24
degree of freedom = n- 1= 23
= 60 years
s= 7.4 years
Two tailed t-critical value for significance level of
and degree of freedom 23:
![t_{\alpha/2}=2.0687](https://tex.z-dn.net/?f=t_%7B%5Calpha%2F2%7D%3D2.0687)
A 95% confidence interval on the true mean age:
![60\pm (2.0686){\dfrac{7.4}{\sqrt{24}}}\\\\\approx60\pm3.1\\\\=(60-3.1,\ 60+3.1)\\\\=(56.9,\ 63.1)](https://tex.z-dn.net/?f=60%5Cpm%20%282.0686%29%7B%5Cdfrac%7B7.4%7D%7B%5Csqrt%7B24%7D%7D%7D%5C%5C%5C%5C%5Capprox60%5Cpm3.1%5C%5C%5C%5C%3D%2860-3.1%2C%5C%2060%2B3.1%29%5C%5C%5C%5C%3D%2856.9%2C%5C%2063.1%29)
Hence, a 95% confidence interval on the true mean age. : <u>56.9</u> years to <u>63.1</u> years.
Answer:
Congruent
Step-by-step explanation:
Answer:
Linear equation: y=mx+b
The answer is: y=2x+1 (equation 1)
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