Answer:
Sample Space {HH, HT, TH, TT}
Event that the second toss is heads {HH, TH}
Answer:
x = - 5
Step-by-step explanation:
The line with equation x = - 2 is a vertical line parallel to the y- axis.
A parallel line will also have the equation
x = c
where c is the value opf the x- coordinates the line passes through.
The line passes through (- 5, 4) with x- coordinate - 5, thus
x = - 5 ← equation of parallel line
Answer:
it will take him 6 hours to earn enough money to buy the sneakers
Step-by-step explanation:
I took the test
Answer: ![(587.67,596.33)](https://tex.z-dn.net/?f=%28587.67%2C596.33%29)
Step-by-step explanation:
The confidence interval for population mean is given by :-
![\overline{x}\ \pm\ z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Coverline%7Bx%7D%5C%20%5Cpm%5C%20z_%7B%5Calpha%2F2%7D%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
Given : Sample mean :
hours
Standard deviation
hours
Sample size : n=90, which is a large sample(n<30), so we use z-test.
Significance level: ![1-0.90=0.1](https://tex.z-dn.net/?f=1-0.90%3D0.1)
Critical value : ![z_{\alpha/2}=t_{22,0.025}=1.645](https://tex.z-dn.net/?f=z_%7B%5Calpha%2F2%7D%3Dt_%7B22%2C0.025%7D%3D1.645)
Then , the confidence interval for population mean will be :-
![592\ \pm\ (1.645)\dfrac{25}{\sqrt{90}}\\\\\approx592\pm4.33\\\\=(592-4.33,592+4.33)\\\\=(587.67,596.33)](https://tex.z-dn.net/?f=592%5C%20%5Cpm%5C%20%281.645%29%5Cdfrac%7B25%7D%7B%5Csqrt%7B90%7D%7D%5C%5C%5C%5C%5Capprox592%5Cpm4.33%5C%5C%5C%5C%3D%28592-4.33%2C592%2B4.33%29%5C%5C%5C%5C%3D%28587.67%2C596.33%29)
Hence, the 90% confidence interval for the mean life
of all light bulbs of this type. is ![(587.67,596.33)](https://tex.z-dn.net/?f=%28587.67%2C596.33%29)