Answer:
a.) 0.115
b.) 0.087
Step-by-step explanation:
Given,
P(A) = 20% = 0.20
P(B) = 30% = 0.30
P(C) = 50% = 0.50
Let M - major repairing during first year
P(M/A ) = 0.05
P(M/B) = 0.10
P(M/C) = 0.15
a.)
P(M) = P(M∩A) + P(M∩B) + P(M∩C)
= P(M/A).P(A) + P(M/B).P(B) + P(M/C).P(C)
= (0.05)(0.20) + (0.30)(0.10) + (0.15)(0.50)
= 0.01 + 0.03 + 0.075
= 0.115
⇒P(M) = 0.115
b.)
P(A/M) = P(A∩M)/ P(M) = P(M/A).P(A)/P(M)
= (0.05)(0.20) / 0.115
= 0.01 / 0.115 = 0.087
⇒P(A/M) = 0.087
What is the y value of y=2x-3 and y=3x-7
Step-by-step explanation:
hope the above solution will help you
NEED HELP W GEOMETRY
In △
ABC, ∡A
is 2 more than twice ∡B
, and ∡C
is 7 less than twice ∡B
. What is the measure of each angle in △
ABC and what is its classifications?
Answers:
Angle A = 76Angle B = 37Angle C = 67Triangle ABC is an acute triangle. It's also a scalene triangle.
====================================================
Work Shown:
x = measure of angle B
2x+2 = measure of angle A, since we're told its "2 more than twice angle B"
2x-7 = measure of angle C, for similar reasoning
The three angles add to 180. This is true for any triangle
A+B+C = 180
(2x+2)+(x)+(2x-7) = 180
5x-5 = 180
5x = 180+5
5x = 185
x = 185/5
x = 37
This means angle B is 37 degrees. The other two angles are
A = 2x+2 = 2*37+2 = 74+2 = 76
C = 2x-7 = 2*37-7 = 74-7 = 67
----------------
In summary, we have these three interior angles
A = 76B = 37C = 67As a way to check, note how A+B+C = 76+37+67 = 180. This confirms the answer. All three angles mentioned are smaller than 90 degrees, so this triangle is acute.
Furthermore, because all three angles are different measures, this means all three sides are different lengths. This leads to triangle ABC being scalene.
Please please give answer
Answer:
Then the total area is 116 cm^2 which agrees with answer D
Step-by-step explanation:
Notice we need to calculate the area of two rectangles (one larger at the bottom and a smaller one on top)
The Area of a rectangle is the product: base x height
In our case :
Area of Big rectangle = 12 cm x 7 cm = 84 cm^2
Area of smaller rectangle = 8 cm x 4 cm = 32 cm^2
Then the total area is: 84 cm^2 + 32 cm^2 = 116 cm^2
Marisol buys 3 notebooks that each cost the same amount and 1 calculator that costs $9. The total cost is $21. How much does each notebook cost?
Answer: 4 dollars for each notebook
Step-by-step explanation:
21-9= 12
12/3=4
each notebooks costs 4 dollars
Answer:
$4
Step-by-step explanation:
Sasha ran 2/3 of a 27km race before she stopped to walk. How
many kilometers had she run at that point?
Answer:
2/3 of 27=18 km
Step-by-step explanation:
Write an equation in slope intercept form for the line that passes through (0,4) and is parallel to y=3x-7
The cost of a skateboard c after a 15% discount can be represented by the expression c−0.15c . Simplify the expression.
Answer:
0.85c
Step-by-step explanation:
To simplify the expression, subtract like terms:
c - 0.15c
= 0.85c
So, the simplified expression is 0.85c
Please help marking brainliest if correct, serious answers only, thank you.
Sherbrooke, Quebec is 210 miles from Boston, MA. A train leaves Boston at noon and arrives in Sherbrooke at 4:40 PM. On the return trip to Boston, the train travels 50.4 mph. How many times greater (or less) is the train’s speed on the return trip to Boston than on the trip to Sherbrooke?
9514 1404 393
Answer:
1.12 times as great
Step-by-step explanation:
The speed from Boston is ...
(210 mi)/(4 2/3 h) = 45 mi/h
Then the speed to Boston is ...
50.4/45 = 1.12 . . . times as great
__
The speed on the return trip is 1.12 times as great, or 12% greater than on the trip to Sherbrooke.
9514 1404 393
Answer:
1.12 times as great
Step-by-step explanation:
The speed from Boston is ...
(210 mi)/(4 2/3 h) = 45 mi/h
Then the speed to Boston is ...
50.4/45 = 1.12 . . . times as great
__
The speed on the return trip is 1.12 times as great, or 12% greater than on the trip to Sherbrooke.
Decide if the following is a true or false statement - explain how you know
(-3.2) + (-2.8) is positive
Answer:
false
Step-by-step explanation:
(-3.2) + (-2.8)
-3.2 - 2.8
= - 6
answer is negative so false
calculate the area of a circle with a diameter of 3m?
with Solution =
Answer:
Area of circle = pie r²
= 3.14 × 2.25
=7.065
Answer: 7.07cm²
Step-by-step explanation: diameter=3
radius=d/2
=3/2
=1.5cm
area=πr²
=22/7 x 1.5 x 1.5
=22/7 x 2.25
=99/2 ÷ 7
=99/2 x 1/7
=99/14
On one day, 4 chefs and 5 helpers earned $650.
On another day working the same number of hours
at the same rate of pay, 5 chefs and 6 helpers
earned $800.
How much does a chef earn each
day?
Help asap please!! I will mark brainlest and give me the work
Answer:
16 square feet
Step-by-step explanation:
Base: 2 * 2 = 4
Side: 2 * 3 / 2 = 3
4 sides = 3 * 4 = 12
Base + sides = 12 + 4 = 16
Count box lengths to identify the base and height. Then, find the area of the triangle.
How many square units is this triangle?
Answer:
14 units²
Step-by-step explanation:
1/2(7)(4)=14 units²
Answer:
14 square units
Step-by-step explanation:
True and false
Urgent!!! Please help man!
Answer:
True
Step-by-step explanation:
Because I did this.
URGENT PLEASE ANSWER QUICKLY!!!!!!!! (WILL MARK BRAINLYIST)
Stacey delivers newspapers. She earns $15 each week plus $2.00 for each customer on her route.
Determine how much money she earns after delivering to 10, 20, 30 and 40 customers using the function f(x) = 2x + 15
x f(x)
Answer:
for 10 people she makes 35$
for 20 people she makes 55$
for 30 people she makes 75$
and for 40 people she makes 95$
Step-by-step explanation:
just plug the number of people (10, 20, 30, 40) into the x in the equation.
20-20+3847x1,00,000,000=?
Say #relatable if this is you
Answer: 384,700,000,000
Step-by-step explanation:
Answer:
20-20+3847x1,00,000,000 =
348699999982
Step-by-step explanation:
lol not me
what THE fRiCk is 3 3/4 as a fraction Bigger than 1
Answer:
I am pretty sure that it is.
Step-by-step explanation:
Isn't 3 bigger than 1
Well i hope this helps
Have a great day!!!!!!!
Your warehouse had 51 cases of Happy Cola at the start of your shift. A truck arrived this morning with another 25 cases of Happy Cola. How many cases of Happy Cola do you have now?
Answer:
76 cases
Step-by-step explanation:
original 51 plus the 21 new is equal to 76 total
D'Andre earns some money by helping people with their yards. It takes him an average of 2 hours to weed a flowerbed and an average of 1.5 hours to mow and edge a lawn. He can work no more than 6 hours a day. He charges $60 to weed a flowerbed and $75 to mow and edge a lawn. He needs to cover his expenses of $150 to make a profit. Write a system of inequalities that would help determine how many flowerbeds and lawns he could complete on a given day.
______________________________
plz help its due like rn so I'll give brainliest
Answer:
3 flowerbeds and 5 lawns.
Step-by-step explanation:
I promise.
Pls help dont answer if you don’t know i will give out brainliest please
Answer:
34.65
Step-by-step explanation:
495x0.07=34.65
Which of the I-values are solutions to both of the following inequalities?
81> I and I > 68
Answer:
Option (C)
Step-by-step explanation:
Given inequalities are,
81 > x and x > 68
Therefore, 81 > x > 68 is the inequality representing the solution area for x.
Out of x = 88, 85 and 80,
x = 80 will lie between the range of x = 68 and x = 81.
Therefore, Option (C) will be the correct option.
Need number 11 and 10 all parts
PLEASE HELP ASAP I WILL GIVE YOU BRAINIEST!! Marcus is 14 years younger than twice Kimi's age. Marcus is 8 years old. How old is Kimi?
Answer: kimi is 22
Step-by-step explanation:
Answer:
Kimi is 11 years old
Step-by-step explanation:
We can read 'twice Kimi's age' as Kimi's age times 2 and
'14 years younger' as minus 14.
Our equation is
2(Kimi's age)-14= Marcus' age
Since Marcus is 8:
2(Kimi's age)-14= 8
Now we manipulate the equation so that it equals Kimi's age. Remember that whatever we do to the right side, we also do to the left.
First we add 14 to both sides
2(Kimi's age)-14(+14)= 8(+14)
2(Kimi's age)= 22
Then we divide by 2
2(Kimi's age)/2= 22/2
Kimi's age=11
Usually we would us X to represent our unknown, Kimi's age, but I left it as Kimi's age so that it is easier to follow.
Helpppp!!!!!! After a few rides, your friends are ready for some ice cream! You stop into Scoops to You for some ice-cream. Which is the better deal?
3 scoops for $3.69
2 scoops for $2.69
1 scoop for $1.79
Answer:
3 scoops for $3.69 is better deal.
Step-by-step explanation:
Given that,
There are 3 deals to buy icecram.
3 scoops for $3.69
2 scoops for $2.69
1 scoop for $1.79
We can find the cost of 1 scoop for each deal. So,
First deal,
1 scoop = 3.69/3 = $1.23
Second deal,
1 scoop = 2.69/2 = 1.345
We can see that the cost of 1 scoop for deal 1 is less than others. It means first deal is best.
Anyone help please.
Correct answer
Giving brainliest
Answer:
The answer is true
Step-by-step explanation:
Think of it this way, when x and y are approaching positive infinity, infinity (lets say the initial coordinate value is (5,8), infinity will always be greater than 5
Hope that helps :)
One end of a ramp is raised to the back of a truck 5 feet above the ground. 1 point
If the length of the ramp is 8 feet, what is the approximate measure of the
angle the ramp makes with the ground? Round your answer to the nearest
tenth of a degree.
38.7°
58.0°
32.0
51.3
Answer:
38.7°
Step-by-step explanation:
You are basically looking at a triangle with a 90° angle (check picture).
Since we are looking for the ramp's angle and are given the length of the opposite and the hypothenuse, we have to solve the following equation:
[tex]sin (\alpha) = opposite / hypothenuse= 5 ft/8ft[/tex]
which is equivalent to
[tex]\alpha = sin^{-1}(5/8)\approx 38.7\deg[/tex]
Ten more than four times a number is equal to the difference between 73 and three times the number. Find the number.
Answer:
let x be the number then,
according to question ,
10+4x=73-3x
or, 4x+3x=73-10
or, 7x= 63
or, x= 63÷7
or,x=9 ans
hence , the number is 9
Which set of numbers below DO NOT make a triangle?
0 7,7,7
O 6,3,3
0 3,4,5
O 5, 11,7
Answer:
3,4,5
Step-by-step explanation:
All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle therefore 3,4,5 is not triangle.
math help ohh yup #5 in the middle
Answer:
m<7 = 49°
m<8 = 41°
m<9 = 49°
m<10 = 41°
Step-by-step explanation:
Given :
m<7 ≅ m<9
m<8 = 41°
m<7 = 90° - m<8 (complementary angles)
m<7 = 90° - 41° (substitution)
m<7 = 49°
m<9 = m<7 (m<7 ≅ m<9)
m<9 = 49° (substitution)
m<10 = 90 - m<9
m<10 = 90 - 49
m<10 = 41°
