5. The length of similar components produced by a company are approximated by a normal distribution model with a mean of 5 cm and a standard deviation of 0.02 cm. If a component is chosen at random a) what is the probability that the length of this component is between 4.98 and 5.02 cm
Answers
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%)
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What is the value of f(-6) for the function f(x) = (1/2)x - 7
B) 7.2cm
C) 12.8cm
D) 13.6cm
Answers
The value of MN is 12.8 cm. The correct option is C
To solve this problem
Corresponding sides are proportional in figures that are comparable to one another (in this case, triangles). That indicates that the corresponding sides' ratios are equal.
Triangles ABCD and LMNO are similar, thus we can establish the percentage based on the matching sides:
AB/BC = LM/MN
Substitute the given values:
12/9.6 = 16/MN
Now, solve for MN:
12 * MN = 9.6 * 16
MN = (9.6 * 16) / 12
MN = 12.8
So, the value of MN is 12.8 cm.
Learn more about proportional here : brainly.com/question/1496357
#SPJ3
Explaining:
B. x= 3, y = 6/3
C. x= 6/3, y = 12
D. x=21/3, y = 6
Answers
Answer:
x = 6/√3 , y = 12/√3
Step-by-step explanation:
sin 60° = opposite /hypothenus
√3/2 = 6/y
cross multiply
√3y=6 x 2 = 12
y = 12/√3
Tan 60° = opposite/adjacent
tan 60° = √3
√3 = 6/x
√3x= 6
x = 6/√3
Answers
Answer:
1/13
Step-by-step explanation:
Total cards = 52
Number of Queen = 4
Probability of the chosen card to be queen
Answer:
1/13
Step-by-step explanation:
there are total no of 52 cards
out of that there are 4 queen
propability = tatal no of favorable outcomes / total no of possible outcomes
=4 / 52
=1/13
Answers
Answer:
4.1 calls
Step-by-step explanation:
The number of calls (c) that Roger expects to get as a function of how many inches of snow fall (s), is described by the following linear model:
Therefore, when s = 4.7 inches, the number of service calls that Roger expects is:
Rounding to the nearest tenth, Roger will get about 4.1 calls.
Answers
Common factors
40={1,2,4,5,8,10,20,40}
2 = {1,2}
Greatest common factor =2
Common multiples
40={40,80,...}
2 = {2,4,6,8,10,...,40,42,...}
Least common multiple= 40
Answers
Answer:
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Step-by-step explanation:
i did this and got it correct