Answer:
2 3/5 inches in a year
Step-by-step explanation:
28 1/5 - 25 3/5 = 141/5 - 128/5 = 13/5 = 10/5 + 3/5 = 2 + 3/5 = 2 3/5
Suppose that Haley encounter two traffic lights on her commute to GGC campus. Based on
her past experience, she judge that the probability is 0.35 that the first light will be red when she gets to it,
0.45 that the second light will be red, and 0.20 that both lights will be red. Let R1 denote the event that the
first light is red, and let R2 denote the event that the second light is red.
a) Determine the probability that at least one light will be red. (Show how you calculate this.)
b) Determine the conditional probability that the second light will be red given that the first light is
red. (Show how you calculate this.)
c) Are the events R1 and R2 independent? Justify your answer numerically.
d) Are the events R1 and R2 disjoint (mutually exclusive)? Justify your answer numerically.
Answer:
Explained below.
Step-by-step explanation:
The information provided is,
P (R₁) = 0.35
P (R₂) = 0.45
P (R₁ ∩ R₂) = 0.20
(a)
Compute the probability that at least one light will be red as follows:
P (at least one light will be red) = P (R₁ ∪ R₂)
= P (R₁) + P (R₂) - P (R₁ ∩ R₂)
= 0.35 + 0.45 - 0.20
= 0.60
Thus, the probability that at least one light will be red is 0.60.
(b)
Compute the conditional probability that the second light will be red given that the first light is red as follows:
[tex]P(R_{2}|R_{1})=\frac{P(R_{1}\cap R_{2})}{P(R_{1})}[/tex]
[tex]=\frac{0.20}{0.35}\\\\=0.571428\\\\\approx 0.57[/tex]
Thus, the conditional probability that the second light will be red given that the first light is red is 0.57.
(c)
If two events, say A and B are independent then:
P (A|B) = P (A).
The value of P (R₂ | R₁) = 0.57.
And the value of P (R₂) = 0.45
P (R₂ | R₁) ≠ P (R₂)
Thus, the events R₁ and R₂ are not independent.
(d)
If two events, say A and B are mutually exclusive then:
P (A ∩ B) = 0
The value of P (R₁ ∩ R₂) = 0.20.
Thus, the events R₁ and R₂ are not mutually exclusive.
Cliff needs 6 meters of wood for a building project. He already has 3
meters of wood.
Approximately how many feet of wood does Cliff need? (One meter
is approximately 3.3 feet.)
1 foot
3 feet
6 feet
10 feet
letter B 3 feet
Step-by-step explanation:
he needs three more to get 6 meters of wood
The bowling lanes charge an hourly fee for bowling and $2 to rent shoes for the day. Gerry rented shoes and bowled for 2 hours and was charged $12.
Which equation represents the cost, f(x), of bowling as a function of x, the number of hours of bowling?
Of(x) = 4x + 3
Of(x) = 2x + 2
Of(x) = 5x - 2
O f(x) = 5x + 2
Answer: I think it’s f(x)=2x+2
Step-by-step explanation:
HELP EASY ASAP MULTIPLE CHOICE
Answer:
It's the first one 18/3 =6
Step-by-step explanation:
This is the only answer that has all integers or whole numbers. Hope this helps!
Answer:
Its the fisrt one cause its the only one with a whole number.
Step-by-step explanation:
diride 660cm in the ratio of 5:6
Answer:
Thus, the measure 660 cm is divided into 300 + 360 in the ratio of 5:6
Step-by-step explanation:
Equations
We are required to divide 660 cm in the ratio 5:6, or 5/6.
Let's call:
x = first part of 660
660 - x = second part of 660
The ratio between them is 5/6.
[tex]\displaystyle \frac{x}{660-x}=\frac{5}{6}[/tex]
The above equation will result in x as the smaller part of 660.
Multiply by (660-x)*6 to eliminate denominators:
[tex]\displaystyle (660-x)*6\cdot\frac{x}{660-x}=(660-x)*6\cdot\frac{5}{6}[/tex]
Operating:
[tex]6x=(660-x)*5[/tex]
[tex]6x=3300-5x[/tex]
Simplifying:
[tex]6x+5x=3300[/tex]
[tex]11x=3300[/tex]
Solving:
[tex]\displaystyle x=\frac{3300}{11}=300[/tex]
The other part is 660 - 300 = 360
Thus, the measure 660 cm is divided into 300 + 360 in the ratio of 5:6
People living in a society where one person rules by force have which type of government?
Answer:
An autocracy is a government structure in which the ultimate political authority is concentrated in one person's hands.
Hope this helps please give me brainliest!
God bless!
An autocracy.
An autocracy is a system of government in which a supreme political power is concentrated in the hands of one person.
in quadrilateral abcd below,
Answer: where is the quadrilateral
Step-by-step explanation:
Tell whether the sum is positive, negative, or zero without adding them.
-8 + 20
Answer:
The sum is positive.
Step-by-step explanation:
The 20 is a far greater value than -8, so no matter what, when you add them the sum will be positive. Though this would not be the same were the -8 greater than -20.
Hope this helps!
Pattie's Produce charges $2.29 for a package of strawberries. On average, Pattie's Produce sells 95 packages of strawberries daily. They estimate that for each 20-cent increase in the cost of a package of strawberries, 9 less packages will be sold each day. Let x represent the number of 20-cent increases in the cost of a package of strawberries. Which inequality represents the values of x that would allow Pattie's Produce to have a daily revenue of at least $255 from selling the packages of strawberries? A. B. -1.872 – 1.615 + 217.55 > 255 -1.812 + 21.61r + 217.55 > 255 -1.8r2 – 21.611 + 217.55 < 255 C. D. -1.812 + 1.61x + 217.55 < 255
Answer:
A. -1.8x² – 1.61x + 217.55 > 255
Step-by-step explanation:
Since Pattie's Produce charges $2.29 for a package of strawberries and 95 packages can be produced daily. The money gotten daily = $2.29 × 95 packages = $217 Since 20 cent increase leads to 9 less package.
The number of 20-cent increases in the cost of a package of strawberries can be gotten from:
(2.29 + 0.2x)(95 - 9x) > 255
217.55 - 20.61x + 19x - 1.8x² > 255
-1.8x² - 1.61x + 217.55 > 255
Answer:
A. -1.8x² – 1.61x + 217.55 > 255
Step-by-step explanation:
EDMENTUM
Which of the following numbers is irrational?
Given the function d (t) = 50t, the variable t represents which of the following
Output
Independent variable
Function
Input
Depended variable
Answer:
The input of the function
Step-by-step explanation:
The graph of a quadratic function with vertex (3,2) is shown in the figure below.
Find the domain and the range.
Answer:
Domain=All Real Numbers Range=y>2
Step-by-step explanation:
Since the graph expands infinitely across the x axis it is all real numbers
Since the Y covers all the numbers above 2 it is y>2
HELP ME PLSSS SOMEONE HELPP ILL GIVE BRAINLIEST
tom sold 3 cars ( a total value of $112,500) in the month of january. it is paid only by commission for its seller. he receives a commission of 7%. what is tom’s salary for the month of january?
Answer:
First multiply 112,500 times 3 (because of the 3 cars) answer should be $337,500
Then do the percentage (7%) $23,625
I believe that 23625 is the answerrr
A rope is 12 meters long. You cut off 15/6 of the rope. How much is left?
Can you please add a step by step
Answer:
4.8
Step-by-step explanation:
15/6 is 2.5 whitch when divided by 12 is 4.8 so 12 divided by 2.5 is 4.8
Answer:
4.8 meters
Step-by-step explanation:
[tex]\frac{15}{6} = 2.5[/tex] 12 ÷ 2.5 = 4.8 metersI hope this helps!
Round 34,138 to the nearest thousand??
Answer:
34,138 to the nearest thousand is 34,000!
Step-by-step explanation:
Hope this helps! Good luck! <3
Answer:
0
Step-by-step explanation:
Last year, 50 students attended the winter carnival. This year, 60 students attended the carnival. Which statement below correctly describes the percent
change from last year to this year?
A
An increase of 10%
B
A decrease of 10%
С
An increase of 20%
D
A decrease of 20%
Answer:
C. An increase of 20%
Step-by-step explanation:
50/100 = 60/x
Cross products
50 x = 6000
Divide 50 by both sides
x = 120
60 is 120% of 50, so there is a 20% increase
Hope this helps!
-Jerc
what is 10x plus 50 - 2 divided by 6 + 100 times 8 - -2.
Answer: the answer is -947 hope this helped.
Step-by-step explanation:
Please help me with all the answers please say like 1: the answer 2: the answer like that thank you so much
whats 62.7×2.45......?
Answer:
153.615
Step-by-step explanation:
62.7 × 2.45=153.615
Question 6 of 10
What is the effect on the graph of f(x) = 1 when it is transformed to
g(x) = } - 7?
A. The graph of f(x) is shifted 7 units to the right.
B. The graph of f(x) is shifted 7 units down.
C. The graph of f(x) is shifted 7 units to the left.
O D. The graph of f(x) is shifted 7 units up.
SIR
Answer:
D I'm pretty sure
Step-by-step explanation:
Answer:
Its B. i just did this question.
Step-by-step explanation:
Emiko makes shibori scarves and sells them for 48 each on a website for handmade goods the expression 48s represents the total price of buying a scarves what do the parts of the expression 48s represents
The expression 48s represents the cost of the scarves.
Given
Emiko makes Shibori scarves and sells them for 48 each on a website for handmade goods the expression 48s represents the total price of buying scarves.
Let s represent the price of the scarves.
The cost of each scarves is 48.
Therefore,
The cost of scarves = Number of scarves × cost of each scarves.
The cost of scarves = s × 48
The cost of scarves = 48s
Hence, the expression 48s represents the cost of the scarves.
To know more about Expression click the link given below.
https://brainly.com/question/18371860
Answer:In the expression 48s ,represents the number of scarves and 48 represents the price per scarf
Step-by-step explanation:
Simplify the following expression.
5.3x − 8.14 + 3.6x + 9.8
A.
-2.84x − 1.66
B.
8.9x + 17.94
C.
-2.84x + 17.94
D.
8.9x + 1.66
Answer:
D
Step-by-step explanation:
5.3x − 8.14 + 3.6x + 9.8
group the numbers on one side and the x's on the other
5.3x + 3.6x - 8.14 + 9.8
solve
8.9x + 1.66
Stacy has 6 fewer than half as many marbles as Mallory .If Stacy has thirty marbles how many does Mallory have
Answer:
72
Step-by-step explanation:
Stacy has 30 marbles
Let m= the number of marbles that mallory has
stacy has 1/2 m -6
30 = 1/2 m -6
Add 6 to each side
30+6 = 1/2m
36 = 1/2m
Multiply each side by 2
72 = m
Mallory has 72 marbles
Answer:
72
Step-by-step explanation:
I'm cool and the guy above me stinko
Free pints get it lolololo
Answer:
Yayee
Step-by-step explanation:
ms.smith bought a 5 pound bag of candy for her 6th grade classroom.She gave away 2 pounds of candy to her students during the first unit of instructions and ate 6 ounces of candy during planning.How many ounces of candy does Ms.Smith still have in her bag?
Answer:
42
It was on my test I put 42 a day later i checked my test the answer was correct. Sorry that I didn't really have a explanation.
But at least its correct.
Ms. Smith still have 42 ounces of candy in her bag.
What is Subtraction?To subtract means to take away from a group or a number of things.
Given that Ms. Smith bought a 5 pound bag of candy for her 6th grade classroom. She gave away 2 pounds of candy to her students during the first unit of instructions and ate 6 ounces of candy during planning.
1 pound = 16 ounces
She gave away 2 out of 5 pounds, so she is left with 5 - 2 = 3 pounds
3 pounds = 16*3 ounces = 48 ounces
She ate 6 ounces of candy
Therefore, she now has, 48 - 6 = 42 ounces of candies left with her.
Hence, Ms. Smith still have 42 ounces of candy in her bag.
For more references on Subtraction, click;
https://brainly.com/question/2346316
#SPJ2
6. The store paid $2.50 for a book and sold it for $5.25. What is the profit as a percent?
A scuba diver is 12 meters below sea level. If the diver descends 39 meters further, what integer represents the scuba diver’s new elevation relative to sea level?
I think the answer is -51
You are playing a video game. For each diamond you collect, you earn 110 points. You also earn 80 bonus points by completing the level in less than 2 minutes. You need to earn more than 1620 points to continue on to the next level. Write and solve an inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.
Answer:
110d + 80 > 1620
d > 14
Step-by-step explanation:
The amount of points from collecting diamonds can be represented by 110d, since you get 110 points for each diamond, d
Add 80 to this to represent the bonus points.
Use a greater than inequality, because you have to get more than 1620 points.
Put this all together:
110d + 80 > 1620
Then, solve for d:
110d + 80 > 1620
110d > 1540
d > 14
So, you have to collect more than 14 diamonds in less than 2 minutes in order to advance to the next level.
Identify next 3 numbers in this sequence 2,6,3,9,6,18,15
With the money she had saved by working, Jennifer wanted
Answer:a car
Step-by-step explanation: