1. The probability is approximately 0.1823.
2. The probability that the 12 exams are not all from the same section is 0.6756
How to calculate the probability1. The probability that exactly 5 of the 12 exams are from Section B is:
P(X = 5) = (12 choose 5) * 0.6 × 0.6⁴ * (1 - 0.6)⁷
= 0.1823
2. The probability that all 12 exams are from the same section is:
P(all from A) + P(all from B) = (20/50)¹² + (30/50)¹²
≈ 0.0132 + 0.3112
≈ 0.3244
Therefore, the probability that the 12 exams are not all from the same section is:
P(not all from same section) = 1 - P(all from same section)
≈ 1 - 0.3244
≈ 0.6756
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Find the area of each composite figure.
Answer:
89.14 Sq . meter
Step-by-step explanation:
Divide the figure into a semicircle with diameter 8 m and the remaining into a rectangle . The area of rectangle :
4 metres × 16 metres
= 64 sq. meter
Area of semicircle :
(pi×r^2)/2
= {(22/7)× (8/2)^2}/2
= (22×4×4)/(7×2)
= 176/7
= 25.14 sq. meter
Now , area of whole figure= (64+25.14)sq. meter
= 89.14 sq. meter
El largo de una sala es 2 metros más grande que su ancho. El área es de 80 m?. ¿Cuánto mide de largo? Cuánto mide de ancho?
Answer: Translation:
The length of a room is 2 meters greater than its width. The area is 80 m ?. How long is it? How wide is it?
Step-by-step explanation:
The graph of f(x)=x is given which graph represents g(x)=1/3x
Answer:
Where are the graphs
Step-by-step explanation:
Dla każdej z liczb 20, 60, 150, 300, znajdź liczbę : a) o 10% większa, b) o 20% mniejszą, c) o 50% mniejsza,
Odpowiedź:
Prosimy sprawdzić wyjaśnienie
Wyjaśnienie krok po kroku:
Na numer: 20
a.) 10% więcej;
(1 + 10/100) * 20;
1,10 * 20 = 22
b.) 20% mniej
(1 - 20/100) * 20
0,8 * 20 = 16
c.) 50% mniej
(1 - 50/100) * 20
0,5 * 20 = 10
Dla numeru 60:
a.) 10% więcej;
(1 + 10/100) * 60;
1,10 * 60 = 66
b.) 20% mniej
(1 - 20/100) * 60
0,8 * 60 = 48
c.) 50% mniej
(1 - 50/100) * 60
0,5 * 60 = 30
Na numer 150;
a.) 10% więcej;
(1 + 10/100) * 150;
1,10 * 150 = 165
b.) 20% mniej
(1 - 20/100) * 150
0,8 * 150 = 120
c.) 50% mniej
(1 - 50/100) * 150
0,5 * 150 = 75
Dla numeru 300;
a.) 10% więcej;
(1 + 10/100) * 300;
1,10 * 300 = 33%
b.) 20% mniej
(1 - 20/100) * 300
0,8 * 300 = 240
c.) 50% mniej
(1 - 50/100) * 300
0,5 * 300 = 150
Please help asap I will give you brainliest Find the area of the shaded region
Answer:
36
Step-by-step explanation:
Area of total region = 12 ×5
=60
Area of the small region = 8×3
=24
Area of shaded region = Area of Total region - area of small region
= 60 - 24
= 36
Find the slope of the line that passes through (4,-5) and (-2,9)
a -2/3
b 5/3
c -7/3
d 2
Answer:
C) -7/3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(9-(-5))/(-2-4)=(9+5)/-6=14/-6
simplify -14/6 to -7/3
Yolanda has 1/6 cup ladle that she uses to pour gravy over potatoes she uses one full ladle for each serving for each server potato
Answer: what is the question
Step-by-step explanation:
find a, b (3a- 2) (A+10 ) (3b - 15) (2b +5)
150 miles in 6 gallons
Answer:
uh thanks for the points
Step-by-step explanation:
Answer:
Step-by-step explanation:
For example, suppose it takes you 15 minutes to travel 6 miles. The time elapsed is 15 minutes divided by 60 minutes = 0.25 hours, and your speed is 6 miles divided by 0.25 hours which equals 24 mph.
For an average person:
1 mile = 2,000 to 2,500 walking steps
1 km = 1,250 to 1,550 walking steps
10,000 steps = 4 to 5 miles
help please with math
Answer:
(2 x a)+(3 x b)+c=total points
Step-by-step explanation:
PLEASE HELP ME WITH THIS QUESTION!!!!
ILL GIVE 20 POINTS
Answer:
D. This was the first time Judicial Review took action in court.
Step-by-step explanation:
Need serious help with this!!!!!!!!!!!!!!!!!!!
Answer:
240 miles
Step-by-step explanation:
64x3 =192
3/4 of 64 is 48
192 + 48 = 240
Grace and her brother Sid want to raise money to go to band camp. Their parents have agreed to help them up to $400 by paying them $25 when one of them mows the lawn and $10 for each hour that one of them babysits their younger brother. They will have to do a combination of both chores in order to earn the money.
Select the equation that represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.
Answer:
I think it would be 25m + 10b = 400
solve the problem: -10 + +10 =
Answer:
0
Step-by-step explanation:
-10+ + 10
-10+10
0
Use Distributive Property to simplify the following expression: 10(m + 5)
HELP PLS!!! make sure to submit a pic of the graph!
Graph the piecewise function.
Answer:
I cant graph on here
Step-by-step explanation:
Answer:
3x-5 if x≤-1 = Green
-2x+3 if -1<x<4 = Orange
2 if x≥4 = Purple
an examination. 30% of the candidates
ailed. If 210 candidatęs passed, how many
Candidates wrote the examination?
1.63 B. 147 C. 210 D. 300 E. 2100
Answer: D
Step-by-step explanation:
If 30% failed then (100-30)% passed
That is 70%
let x be the number of students that wrote the exam
(70/100)x=210
x=21000/70
x=300
What is the meaning of data in mathematics?
Answer:
Data can be defined as a collection of facts or information from which conclusions may be drawn. Example of Data EXAMPLE :The data shown below are Mark's scores on five Math tests conducted in 10 weeks.
Step-by-step explanation:
david roller skates with a constant speed of 12kmh how far can he travel in 3 hours
Answer:
36
Step-by-step explanation:
12 x 3 =36
Answer:
36 kilometers or 22.4 miles
Step-by-step explanation:
12 kmh times 3 equals 36
Which point satisfies the system of equations y=3x-2 and y=-2x+3?
8
7
B
6
C
5
4
D
9 8 7 6 5 4 3 -2 -1
1
2 3 4 5 6 7
B
9x
-2
-3
4
-5
-5
-7
-9
ΟΑ. Α
ОВ.
B
Occ
ODD
Answer:
27633883532
2732937293739
839364923274693
93730347395393649364
027402649249364
026393473849337
92739262926382
193
19632963286392
92539253925292
9279253285292
2283792
88248935392
926263925392
7363854276393
233
Three quarters of the cars in a parking garage are black, 4/7 of the remaining cars are blue, and the rest are silver. If there are 9 silver cars, how many cars are in the parking garage? * 1 point
Answer:
84 cars
Step-by-step explanation:
Given that 3/4 of the cars in a parking garage are black, let the number of cars in the garage be T, then
number of black cars = 3T/4, other = T - 3T/4 = T/4
If 4/7 of the remaining cars are blue then
the number of blue cars = 4/7 * T/4 = T/7
Remaining cars = T/4 - T/7
= (7T-4T)/28
=3T/28
Given that the remaining cars are sliver and the number of silver cars is 9 then
3T/28 = 9
Cross multiply
3T = 28 * 9
Divide both sides by 3
T = 28 * 9 / 3
= 28 * 3
= 84 Car
which is bigger or equal 6 gallons or 96 pints
Answer:
96 pints
Step-by-step explanation:
5) 15 – 3(x + 2) ??????????????????????
Answer:
-3x + 9
Step-by-step explanation:
y = -3/4x - 2
y = 3/4x + 1
one solution
two solutions
no solution
O infinitely many solutions
Answer:
One Solution
Step-by-step explanation:
Trust me
Help me for a cookie
Answer:
145 degrees
Step-by-step explanation:
1. A straight line is 180 degrees
2. 180-35=145
Enter the value of 12x-2 when x = 3.
Answer:
34
Step-by-step explanation:
12(3)-2
36-2
34
Answer:
im sorry if this is wrong but i think its 2
What is the length of BC
Expand 40 76/100 into decimal form then write the whole number with decimal.
Answer:
40.76
Step-by-step explanation:
gimme ye points
Answer the photo below thanks
Answer:
you have it marked correctly-A.1,2
Step-by-step explanation:
they are the same only flipped around
Answer:
A . 1 and 2
Step-by-step explanation:
count the squares
SOMEONE PLEASE ANSWER THIS CORRECTLY AND SHOW HOW THE EQUATION WOULD LOOK LIKE!!!!!!! PLEASE HELP ASAPPPPPPPPP!!!!!!!!!!!!!
Answer:
The answer is C
Step-by-step explanation:
The plumber works $90 per hour and has earned a total of $955, to find the number of hours he worked, you divide the total amount of money by the amount of money he earned every hour. Which would be [tex]\frac{955}{90}[/tex] = H or 90H = 955.