1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MaRussiya [10]
2 years ago
14

5. The length of similar components produced by a company are approximated by a normal distribution model with a mean of 5 cm an

d 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
Mathematics
1 answer:
klemol [59]2 years ago
7 0

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%)

You might be interested in
What expression is equivalent to -3z + 6y + 7z - 14?
djyliett [7]

Answer:

immma send you the link friend me on hereStep-by-step explanation:

5 0
3 years ago
Brian and Steve want to compare the prices of their favorite cereals to determine which is less expensive. The table below shows
Nitella [24]

Answer:

Step-by-step explanation:

it wasx^{2} \int\limits^a_b {x} \, dx \geq \left \{ {{y=2} \atop {x=2}} \right. \leq \int\limits^a_b {x} \, dx  \lim_{n \to \infty} a_n \sqrt[n]{x} \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \neq \\ \geq \geq \neq \geq \\ \leq \leq \neq \neq \leq \geq x^{2} \int\limits^a_b {x} \, dx \neq  \lim_{n \to \infty} a_n \sqrt[n]{x} \frac{x}{y} x_{123} \beta

4 0
3 years ago
The system shown is blank.<br><br>a.) inconsistent<br>b.) equivalent<br>c.) ​consistent​
BARSIC [14]

Answer:

I think it's consistent

Step-by-step explanation:

3 0
3 years ago
-9, -6, -1, 6, 15 …<br> What is the 8th term of the sequence?
Effectus [21]
It’s 54. :))))))))))))))
5 0
3 years ago
Read 2 more answers
(Riddle)
lbvjy [14]

Answer:

The athlete will never reach one foot because they only ever jump half of the remaining distance.

Step-by-step explanation:

Consider the provided information.

It is given that on her first jump she goes \frac{1}{2} foot and every jump goes \frac{1}{2} as far as her prior jump.

That means  this is a GP where a=\frac{1}{2} and r=\frac{1}{2}

We want the sum should be 1.

Now use the formula for sum of GP.

s=\frac{a}{1 - r}\\ s=\frac{ \frac{1}{2}}{1-\frac{1}{2} }\\ s=\frac{ \frac{1}{2}}{\frac{1}{2}}=1

Hence the maximum value is One Foot.

That means she has to take infinite number of steps to complete a distance of 1 foot.

Therefore, the athlete will never reach one foot because they only ever jump half of the remaining distance.

3 0
3 years ago
Other questions:
  • Data from an independent research company found that the annual cost per worker for insurance​ (health, life,​ liability, etc.)
    11·1 answer
  • Evaluate ab + c for a = 2, b = 3, and c = 4.<br><br> 9<br><br> 10<br><br> 27
    7·1 answer
  • What is the value of x
    5·1 answer
  • PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!
    5·1 answer
  • 3(y – 3) = 2y – 9 + y<br> A. one solution<br> B. no solutions<br> C. infinitely many solutions
    14·1 answer
  • Pleaseee helpppp !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
    11·1 answer
  • -5 - 3(6x – 8) = -5x + 19
    15·1 answer
  • Solve the following equation 1÷x=2​
    6·1 answer
  • Six times the difference of a number and 4 is no more than 10.
    11·1 answer
  • Real NumbersQuizActive12345678910Which phrase represents the algebraic expression 3d+7?OfO the product of one-fourth and a numbe
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!