Answer:
the probability that he length of this component is between 4.98 and 5.02 cm is 0.682 (68.2%)
Step-by-step explanation:
Since the random variable X= length of component chosen at random , is normally distributed, we can define the following standardized normal variable Z:
Z= (X- μ)/σ
where μ= mean of X , σ= standard deviation of X
for a length between 4.98 cm and 5.02 cm , then
Z₁= (X₁- μ)/σ = (4.98 cm - 5 cm)/0.02 cm = -1
Z₂= (X₂- μ)/σ = (5.02 cm - 5 cm)/0.02 cm = 1
therefore the probability that the length is between 4.98 cm and 5.02 cm is
P( 4.98 cm ≤X≤5.02 cm)=P( -1 ≤Z≤ 1) = P(Z≤1) - P(Z≤-1)
from standard normal distribution tables we find that
P( 4.98 cm ≤X≤5.02 cm) = P(Z≤1) - P(Z≤-1) = 0.841 - 0.159 = 0.682 (68.2%)
therefore the probability that he length of this component is between 4.98 and 5.02 cm is 0.682 (68.2%)
Answer:
if you mean volume, volume is kinda like how much you could fit in it if it was hollow, and surface area is like how much of something (like wrapping paper) it would take to cover the outside
Step-by-step explanation:
hi
you have twi points A ( X;Y) and B ( X ; Y)
slope is : ( Yb -Ya) / (Xb -Xa )
so : ( 5-6 ) /( -7- 5) = -1 /-12 = 1/12
The value of f(-3) for the function f(a) = -2a² - 5a + 4 is 1.
<h3>What are functions?</h3>
Function relates input and outputs. The outputs are called the ranges of dependent variables while the input are called domain or independent variables.
Therefore,
f(a) = -2a² - 5a + 4
Hence,
f(-3) = -2(-3)² - 5(-3) + 4
Therefore,
f(-3) = -18 + 15 + 4
f(-3) = -3 + 4
f(-3) = 1
learn more on function here: brainly.com/question/1479830
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