(a) Using a suitable probability calculator, the probability is 0.5987.
(b) The calculation is done the same way, but the population sigma is divided by the square root of the sample size. The probability is 0.9514.
Rebbeca's recipe calls for 4/5 of a cup of flour. She plans to make 1/4 of the recipe. How much flour will she use?
2 answers:
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Answer:
k = 8
Step-by-step explanation:
We know that 8(10-k) = 2k so:
8(10−k)=2k
<u>Simplify both sides of the equation:</u>
8(10−k)=2k
(8)(10)+(8)(−k)=2k
80+−8k=2k
−8k+80=2k
<u>Subtract 2k from both sides:</u>
−8k+80−2k=2k−2k
−10k+80=0
<u>Subtract 80 from both sides:</u>
−10k+80−80=0−80
−10k=−80
<u>Divide both sides by -10:</u>
k = 8
Answer:
It will take 2.6 s for the ball to hit the ground.
Step-by-step explanation:
This is a standard physics problem
The equation that defines the movement of Ryans baseball is given by the initial velocity, and the acceleration
Distance = Do + Vo*t + 0.5*a*t^2
Where
Do is the initial distance.
(Do = 2m over the ground)
Vo is the initial velocity = 12m/s
a is the acceleration that is exerted on the body (in this case a = g = -9.8 m/s^2 )
t is the time
We substitute in the equation, and solve for t (time)
(0)= 2+ (12)*t + 0.5*(-9.8)*t^2
We get that
t = 2.606 s = 2.6 s
