Answer:
Approximately 68% of the apples have diameters that are between 7.08cm and 7.78cm.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 7.43cm, standard deviation of 0.35cm.
What percentage of the apples have diameters that are between 7.08cm and 7.78cm?
7.43 - 0.35 = 7.08 cm.
7.43 + 0.35 = 7.778 cm.
Within 1 standard deviation of the mean, so approximately 68% of the apples have diameters that are between 7.08cm and 7.78cm.
Step-by-step explanation:
3x= (-8) -4
x=(-12)/3
x= -4
Answer:
x=0.6241
Step-by-step explanation:
Square both sides and end up with
75.24+x=75.8641
isolate x
x=75.8641 - 75.24
x=0.6241
Answer:
Error 404
Error 404
Error 404
Step-by-step explanation:
404
Answer:
Result at time x = 4 seconds the soccer ball hit the ground.
Step-by-step explanation:
At the moment just before the ball is kicked, it is on the ground and so the height f(x) is zero meters. After the kick, the ball goes through the air and it's path can be described by a (mountain) parabola.
So lets see after how many second (x) the height = 0 once again.
f(x) = 8x-2x^2
f(x) = 0
8x - 2x^2 = 0
Try to write the formula in two terms
-2x * (x - 4) = 0
When a product of two or more terms equals zero, then at least one of the terms must be zero.
Now solve each term = 0 separately, meaning, solve as many equations as there are terms in the product.
Any solution of term = 0 solves product = 0.
Solve the first term:
-2x = 0
Multiply left an right from the = singn with the factor -1 gives this outcome:
2x = 0
x = 0
Solve the second term:
x-4 = 0
x = 4
Result at time x = 4 seconds the soccer ball hit the ground.
x = 4
x = 0
