Using the binomial distribution, it is found that the mean of X is of 12, with a standard deviation of 3.36.
For each chip, there are only two possible outcomes, either it is defective, or it is not. The probability of a chip being defective is independent of any other chip, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
Probability of exactly <u>x successes on n repeated trials, with p probability.</u>
The mean of the binomial distribution is:
The standard deviation of the binomial distribution is:
In this problem:
- Six percent of computer chips produced by Cheapo Chips are defective, hence
.
- Each month a random sample of 200 chips manufactured that month are taken, hence
Then:
The mean of X is of 12, with a standard deviation of 3.36.
A similar problem is given at brainly.com/question/12473640
The average number of shots is 4 shots
There are a total of five theorems congruent triangles. They are summarized as:
<h3>What are the definitions of the Theorems of Congruent Triangles?</h3>
SAS - Side Angle Side
According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.
SSS - Side Side Side Rule
According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are proportional to the size three sides of the second triangle.
AAS - Angle Angle Side Rule
Angle-Angle-Side is abbreviated as AAS. The triangles are said to be congruent when two angles and a non-included side of one triangle match the comparable angles and sides of another triangle.
ASA - Angle Side Angle rule
According to the ASA rule, two triangles are said to be congruent if any two angles and the side contained between the angles of one triangle are proportional to the size two angles and side included in between angles of the second triangle.
RHS - Right Angle- Hypotenuse side Rule
According to the RHS rule, two right triangles are said to be equivalent if their hypotenuses and one of their sides are identical to those of another right-angled triangle.
Learn more about theorems of congruent triangles at:
brainly.com/question/2102943
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Answer:
x=4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
24−4x=2x
24+−4x=2x
−4x+24=2x
Step 2: Subtract 2x from both sides.
−4x+24−2x=2x−2x
−6x+24=0
Step 3: Subtract 24 from both sides.
−6x+24−24=0−24
−6x=−24
Step 4: Divide both sides by -6.
−6x
/−6 =
−24
/−6
x=4
