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galina1969 [7]
2 years ago
14

In an injection-molding operation, the length and width, denoted as X and Y, respectively, of each molded part are evaluated. Le

t A denote the event of 48 < X < 52 centimeters B denote the event of 9 < Y < 11 centimeters. Construct a Venn diagram that includes these events. Shade the areas that represent the following:
a. A
b. A ∩ B
c. A' ∪ B
d. A ∩ B
e. If these events were mutually exclusive, how successful would this production operation be? Would the process produce parts with X = 50 centimeters and Y = 10 centimeters?
Mathematics
1 answer:
nika2105 [10]2 years ago
6 0

Answer:

attached below

Step-by-step explanation:

Attached below are the Venn diagrams

A :  48 < X < 52   cm

B : 9 < Y <  11 cm

a) A

b) A ∩ B

c) A' ∪ B

d) A ∪ B

e)  for events to be mutually exclusive it means that both events can not occur simultaneously i.e. A ∩ B = 0

the process would not be successful hence the process would not produce parts with X = 50 cm and Y = 10 cm

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I keep believing the answer is either 18,000 or 1,800 but im incorrect. Can someone please help me?? I use the formula A^2 *2*A*
Yuri [45]

The base is a square, so the area of the square is (10 cm)² = 100 cm²

To find the area of each triangle use the formula

base • height

10 cm • 9 cm = 90 cm²

now multiply by the number of triangles

90 cm • 4 = 360 cm²

Add the area of the square:

100 cm² + 360 cm² = 460 cm²

I hope it's correct

4 0
2 years ago
Read 2 more answers
-6(2+n) is greater than 72
Hitman42 [59]

Answer:

n > -14

Step-by-step explanation:

Firstly, you use the distributive property;

-12 - 6n > 72

Then, since 12 is negative, you add 12 to both sides;

-12 - 6n > 72

+12           +12

-6n > 84

Then you divide both sides by -6 to get n > -14.


Shoot, hold on; this is an edit; did you mean that 72 is greater than -6(2 + n) or did you accidentally flip the sign in the picture? Hopefully I did what you needed.


5 0
2 years ago
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A simple random sample of 44 men from a normally distributed population results in a standard deviation of 10.7 beats per minute
sladkih [1.3K]

Answer:

Step-by-step explanation:

The Hypothesis :

H0 : σ = 10

H1 : σ ≠ 10

The Chisquare statistic, χ² ;

χ² = [(n-1) * s²] ÷ σ²

Sample size, n = 44 ; sample Standard deviation, s = 10.7 ; population standard deviation, σ = 10

χ² = [(44 - 1) * 10.7²] ÷ 10²

χ² = [43 * 114.49] ÷ 100

χ² = [4923.07] ÷ 100

χ² = 49.2307

Using the Pvalue from Chisquare calculator :

degree of freedom, df = n - 1 = 44 - 1 = 43

Pvalue = 0.238

7 0
3 years ago
Do the data in the table represent a direct variation or an inverse variation write an equation to model the data in the table.
astraxan [27]
The answer is C. xy=40
6 0
3 years ago
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raffle tickets are being sold for a fundraiser. The relationship between n, number of raffle tickets sold, and A, amount of mone
jolli1 [7]

Answer:

D. N(a) = (a + 20)/3

Step-by-step explanation:

A(n) = 3n - 20

A is a function of n. The inverse will be: N is a function of a.

Change A(n) to y and n to x.

y = 3x - 20

Switch x and y.

x = 3y - 20

Solve for y.

x + 20 = 3y

3y = x + 20

y = (x + 20)/3

Now switch y to N(a) and x to a.

Answer: N(a) = (a + 20)/3

8 0
3 years ago
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