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Bess [88]
3 years ago
12

Specifications for a part for a DVD player state that the part should weigh between 24 and 25 ounces. The process that produces

the parts yields a mean of 24.5 ounces and a standard deviation of .2 ounce. The distribution of output is normal.
A.What percentage of parts will not meet the weight specs?


B.Within what values will 95.44 percent of sample means of this process fall, if samples of n = 16 are taken and the process is in control (random)?


and the answer for be has to be an number and the +/- what
Mathematics
1 answer:
makvit [3.9K]3 years ago
3 0
The answer is 34/ 69 :) stay safe and i hope this helps
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chegg evaluate the following integral using trigonometric substitution. dx/square root(x^2-81), x > 9
vesna_86 [32]

Integration will be ln | ( x /9 ) + ( \sqrt{(x/9)^{2} - 1 } ) | + c  .

Given  ∫ 1 dx / ( x^{2} - 81 )

Put ,

x = 9 secθ

dx = 9 secθ tanθ dθ

and

\sqrt{x^{2}  - 9^{2} } = 9 tanθ

Substituting values in  ∫ 1 dx / ( x^{2} - 81 ) ,

∫ (9 secθ tanθ ) dθ / ( 9 tanθ )

∫ secθ dθ = ln | secθ + tanθ | + c

                = ln | ( x /9 ) + ( \sqrt{x^{2}  - 9^{2} } / 9 ) | + c

              = ln | ( x /9 ) + ( \sqrt{(x/9)^{2} - 1 } ) | + c

Hence , the integration will be ln | ( x /9 ) + ( \sqrt{(x/9)^{2} - 1 } ) | + c .

To learn more on integration follow link :

brainly.com/question/20156869

#SPJ4

6 0
1 year ago
How do you add a fraction and a whole? Please explain step by step to get marked as brainliest
Dimas [21]

Step-by-step explanation:

How do you add a fraction and a whole number?

add

Whole numbers are all natural numbers including 0.

A fraction represents a numerical value, which defines a part of a whole.

Answer: To add a fraction to a whole number, convert the whole number into a fraction, form a common denominator, and then add the two numerators.

Let's look into the steps to add a fraction to a whole number.

Explanation:

Convert the whole number into a fraction by taking the denominator as 1.

Compare the denominators and make them common so that they become like fractions.

Add the numerators of the two fractions.

Example: Add 2/15 and 5

Step 1: Converting the whole number into a fraction.

5 in terms of a fraction is written as 5/1

Step 2: Make the denominator common.

Since, 2/15 has 15 as the denominator, hence, we need to make the denominator of 5/1 as 15

Multiplying numerator and denominator with 15 we get,

(5 × 15) / (1 × 15) = 75/15

Step 3: Adding the numerators of the two fractions.

2/15 + 75/15 = (2 + 75)/15 = 77/15

Thus, to add a fraction to a whole number, convert the whole number into a fraction, form a common denominator, and then add the two numerators.

5 0
2 years ago
Pls answer correct or i will ban you<br>And I will mark brainlist whoanewers correct​
vlada-n [284]

Since segment AC bisects (aka cuts in half) angle A, this means the two angles CAB and CAD are the same measure. I'll refer to this later as "fact 1".

Triangles ABC and ADC have the shared segment AC between them. By the reflexive property AC = AC. Any segment is equal in length to itself. I'll call this "fact 2" later on.

Similar to fact 1, we have angle ACB = angle ACD. This is because AC bisects angle BCD into two smaller equal halves. I'll call this fact 3

----------------------

To summarize so far, we have these three facts

  1. angle CAB = angle CAD
  2. AC = AC
  3. angle ACB = angle ACD

in this exact order, we can use the ASA (angle side angle) congruence property to prove the two triangles are congruent. Facts 1 and 3 refer to the "A" parts of "ASA", while fact 2 refers to the "S" of "ASA". The order matters. Notice how the side is between the angles in question.

------------------------

Once we prove the triangles are congruent, we use CPCTC (corresponding parts of congruent triangles are congruent) to conclude that AB = AD and BC = BD. These pair of sides correspond, so they must be congruent in order for the entire triangles to be congruent overall.

It's like saying you had 2 identical houses, so the front doors must be the same. The houses are the triangles (the larger structure) and the door is an analogy to the sides (which are pieces of the larger structure).

7 0
3 years ago
Change the units up above to the correct answer from (a) to (d)
Leto [7]

Answer:

Step-by-step explanation:

1 cm = 10 mm

a) 0.1 cm = 1 mm

1 mm = 1000 m

b) 25000mm = 25 m

1 g = 0.001 kg

c) 7g = 0.007 kg

1ml = 0.000001

d) 30000ml = 0.03 kl

6 0
2 years ago
What is the expanded notation fraction of 810.435
ipn [44]

Answer:

810.435 =

 800  

+ 10  

+ 0  

+   0.4

+   0.03

+   0.005

3 0
3 years ago
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