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

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

Missy bought the can of cat food shown below based on the information in the diagram which is the best approximation for the volume of the can

Did I put the correct answer ?

12. The math department at a small school has 5 teachers. The ages of these teachers are 23, 34, 37, 42, and 58.Suppose you selected a random sample of 3 teachers and calculated the sample median.(a) List all 10 possible samples of size 3. Calculate the sample median for each sample.

Please hurry I need please

150x8-10+25=
Is it 1,205
1,215
1275

Use the original price and the markdown to find the retail price. Original price: $145; Markdown: 36% The retail price is $​

correct option*
PLEASE HELP I WILL GIVE BRAINLIEST

please help! (20 points)
Check all that are inequalities.
-3 = y
t > 0
-4.3 < a
g = 5 and one-half
k less-than Negative StartFraction 5 Over 7 EndFraction
x = 1

A medical device company knows that 11% of patients experience injection-site reactions with the current needle. If 3 people receive injections with this type of needle, what is the probability that the first person has an injection-site reaction, but the next two do not?

A fence surrounds two sides of the
backyard. The total length of the fence is 86
feet, with the longest portion measuring 51.5
feet. What is the length of the second side of
the fence?

7 divided by 6 with whole number
Pls help?

Jackson wants to buy a new video game console. He has saved $50 and
earns $20 per lawn that he mows. Which of the following equations can be
used to determine the number of lawns Jackson needs to mow, m, in order to
buy the video game console, which costs, c, dollars?
0
m
1 ={c+50
C = 50m + 20
m =
- c + 50
C = 20m + 50
CLEAR ALL

if EF=13 and DF=18, find EH

please help if possible show work but if not its fine just help plsssss

5. Nate wants to solve 114 - 50,
He wants to solve using a number bond to subtract from 100. What two numbers
should he use to break apart 114?

For what values of h and k does the linear system have infinitely many solutions? 2x1 + 5x2 = −1 hx1 + kx2 = 7

Question: Which point is a reflection of(6.5, 1) across the x-axis and the y-axis?


A. Point u
B. Point V
C. Point W
D. Point X​

Kayla used 4 isosceles triangles and one square to build a pyramid each edge of the square was 10 inches the two congruent sides of the triangles are 13 inches long the slant height of the triangles is 12 inches why is the surface area of a figure

Can y’all help me with this plz

Which is the correct formula to find the area of triangle AED? A B D E C area of triangle AED 1 • CDAE 2 area of triangle AED = AE - DE 2 area of triangle AED 1 2 • CE - AE area of triangle AED = AE - AE Reset Next​

is -√3 rational or irrational?

A machine creates pipe fittings at a constant rate at a manufacturing company. During a 10-hour shift, the machine is scheduled to create 500 pipe fittings. The graph shows the remaining number of pipe fittings that need to be created during the shift as a linear function of x, the time in hours.

Study the graph below...
Pipe Fittings... Total Pipe Fittings Remaining...
Time....
Hours...

Which answer choice best describes the domain and range of the function for this situation?


A. Domain: {−50}
Range: {500}

A. , Domain: , negative 50, , , Range: 500 , ,

B. Domain: {500}
Range: {−50}

B. , Domain: , 500, , , Range: negative 50 , ,

C. Domain: All real numbers greater than or equal to 0 and less than or equal to 500.
Range: All real numbers greater than or equal to 0 and less than or equal to 10.

C. , Domain: All real numbers greater than or equal to 0 and less than or equal to 500., , Range: All real numbers greater than or equal to 0 and less than or equal to 10., ,

D. Domain: All real numbers greater than or equal to 0 and less than or equal to 10.
Range: All real numbers greater than or equal to 0 and less than or equal to 500.

What is the value of the expression?

Dlane, Jim, and Ravi have a total of $62 in their wallets. has 2 times what Ravi has. Ravi has $10 more than Dlane How much do they have in thelr wallets?

Hi, can anyone help me. Please!

Write the phrase as an algebraic expression

Sandra calculated her taxable income as $39,250. She paid $6,000 in federal withholding tax. And you are single Your tax is If line 43 (taxable income) is At least But less than 39,200 39,250 39,250 39,300 39,300 39,350 39,350 39,400 5,931 5,944 5,956 5,969 Based on the table above, what is the amount Sandra will receive as a refund?​

six less than a number

Pls anserw I need help

−2/5x−2=18 Solve for x