Answer:
The answer is below
Step-by-step explanation:
When you fill your coffee at a gas station, you're supposed to get 8 ounces of coffee with a standard deviation of .7 ounces. A random sample of 50 "8 ounce" coffees is collected and measured and the mean was found to be 7.8 ounces. a) Find a 90% confidence interval. b) Interpret the confidence interval in the context.
Solution:
The confidence = 90% = 0.9, mean (μ) = 7.8 ounces, standard deviation (σ) = 0.7 ounces, sample size (n) = 50
α = 1 - C = 1 - 0.9 = 0.1
α/2 = 0.1 / 2 = 0.05
The z score of α/2 is the same as the z score of 0.45 (0.5 - 0.05) which is equal to 1.65
The margin of error (E) is given by:
![E = z_\frac{\alpha}{2} *\frac{\sigma}{\sqrt{n} } \\\\E=1.65*\frac{0.7}{\sqrt{50} } =0.16](https://tex.z-dn.net/?f=E%20%3D%20z_%5Cfrac%7B%5Calpha%7D%7B2%7D%20%2A%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%20%7D%20%5C%5C%5C%5CE%3D1.65%2A%5Cfrac%7B0.7%7D%7B%5Csqrt%7B50%7D%20%7D%20%3D0.16)
The confidence interval = μ ± E = 7.8 ± 0.16 = (7.64, 7.96)
b) This means that we are 90% confident that any selected coffee has a weight between 7.64 ounce to 7,96 ounce
I'm thinking its 4 to the 12 power but I am not completely sure on this
Answer: ![5:00\ PM](https://tex.z-dn.net/?f=5%3A00%5C%20PM)
Step-by-step explanation:
Given
Truck A speed is ![v_a=60\ kmph](https://tex.z-dn.net/?f=v_a%3D60%5C%20kmph)
Truck B speed is ![v_b=80\ kmph](https://tex.z-dn.net/?f=v_b%3D80%5C%20kmph)
Truck A leaves 2 hours before truck B
Distance traveled in the 2 hour
![\Rightarrow 60\times 2=120\ km](https://tex.z-dn.net/?f=%5CRightarrow%2060%5Ctimes%202%3D120%5C%20km)
Suppose Truck B will catch truck A after t hours
![\therefore 120+60t=80t](https://tex.z-dn.net/?f=%5Ctherefore%20120%2B60t%3D80t)
![\Rightarrow 120=20t\\\Rightarrow t=6\ hr](https://tex.z-dn.net/?f=%5CRightarrow%20120%3D20t%5C%5C%5CRightarrow%20t%3D6%5C%20hr)
Overtake time is ![9:00am +2+6=5:00\ PM](https://tex.z-dn.net/?f=9%3A00am%20%2B2%2B6%3D5%3A00%5C%20PM)
25x7= 175 I think I not sure
Hey there!
“66 / v = 44 / 62”
~ FIRST you have to CROSS MULTIPLY
66 • 62 = 44 • v
66 • 62 = 4,092
44 • v = 44v
➡️ 4,092 = 44v
~ SECOND TURN/FLIP your EQUATION
44v = 4,092
~ THIRD DIVIDE both SIDES by 44
44v / 44 = 4,092 / 44
CANCEL out: 44 / 44 because that gives you 1
KEEP: 4,092 / 44 because that gives you the v-value
FOURTH: SOLVING
4,092 / 44 = v ; v = 4,092 / 44
Solve the equation that’s in STEP FOUR and you have your v-value
Answer:
v = 93 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)