9514 1404 393
Answer:
4.5
Step-by-step explanation:
The value of x that makes f(x) = -3 is ...
4/3x -9 = -3
4/3x = 6 . . . . . . add 9
x = 6(3/4) = 18/4 = 9/2 = 4.5 . . . . multiply by 3/4
f^-1(-3) = 4.5
A commuter crosses one of three bridges, A, B, or C, to go home from work. The commuter crosses bridge A with probability 1/3, crosses bridge B with probability 1/6, and crosses bridge C with probability 1/2. The commuter arrives home by 6pm with probability 75%, 60%, and 80% by crossing bridge A, B, or C, respectively. If the commuter arrives home by 6pm, find the probability that bridge B was used.
Answer:
0.1333 = 13.33% probability that bridge B was used.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Arrives home by 6 pm
Event B: Bridge B used.
Probability of arriving home by 6 pm:
75% of 1/3(Bridge A)
60% of 1/6(Bridge B)
80% of 1/2(Bridge C)
So
[tex]P(A) = 0.75*\frac{1}{3} + 0.6*\frac{1}{6} + 0.8*\frac{1}{2} = 0.75[/tex]
Probability of arriving home by 6 pm using Bridge B:
60% of 1/6. So
[tex]P(A \cap B) = 0.6*\frac{1}{6} = 0.1[/tex]
Find the probability that bridge B was used.
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1}{0.75} = 0.1333[/tex]
0.1333 = 13.33% probability that bridge B was used.
A spinner has three equal sections labeled 1, 2, and 3
Which organized list shows the possible outcomes for spinning the spinner twice?
Ο Α
o 1,1; 1,2; 1,3
o 2,1,2,2,2,3
o 3,1; 3,2; 3,3
ОВ
o 1,2; 1,3
o 2,1,2,3
o 3,1,3,2
Ос.
o 1,1; 1,2; 1,3
o 2.2; 2,3
o 3,3
OD
1,1; 1,2; 1,3
the answer is hi Step-by-step explanation:
Answer:
answer: A
Hope that helps!
ROUND 12.516 TO THE FATHES POSSIBLE PLACE TO THE RIGHT
Answer:
12.52
Step-by-step explanation:
Complete the statement.
63 mi
mi
h
sec
Please answer ASAP worth 25 points
Answer:
63miles/hour=63miles/[60×60]sec=
0.0175miles/sec
graph a line with slope 1/3 and y-intercept -2
Answer this simple quick question!! Pls :)
Answer:
D
pls mark me as Brainiest :}
Step-by-step explanation:
A simple index of three stocks have opening values on day 1 and day 8 as
shown in the table below.
Day 1
No. shares
Price per
Day 8
No. shares Price per
share
8000
$3.90
5000
$2.50
2000
$6.10
Stock ABC
Stock XYZ
Stock QRS
share
$4.25
$2.90
$6.40
8000
5000
2000
What is the rate of change of this simple index over one week? Round your
answer to the nearest tenth.
A. -8.4%
OB. 7.7%
Ο Ο Ο Ο
C.-7.7%
D. 8.4%
If the spinner to the right is spun once, what is the probability
that it lands on a star or a shaded region?
Answer: i think its star because it sounds right and well i tryed it before and you should to.
i am too lazy can someone solve this for me.
A bakery sold a total of 500 cupcakes in a day, and 190 of them were vanilla flavored. What percentage of cupcakes sold that day were vanilla flavored?
Answer:
20% of them we flavored vanilla that day
Step-by-step explanation:
kenneth has a job that pays $11 per hour after taxes are taken out. He’s trying to save enough money to buy a video game that costs $90 . write an inequality to determine the minimum number of hours to buy the video game .
Answer:
[tex]11x\leq 90[/tex]
Step-by-step explanation:
11 is the amount per hour, x stands for the number of hours, and he needs to earn at least 90 dollars.
Complete the following equation using <,>, or = 7___24/4
Answer:
<
Step-by-step explanation:
Have a Great Day!!!
Yolanda is planning out her square vegetable garden. One side 4 feet. How
can I represent the area with exponents? *
HELPP MEEE ASAP PLSS
?! if you make $360 a week what is your yearly wage ?
Answer:
18,720
Step-by-step explanation:
there are approximately 52 weeks in a year
Answer:
$18,720
Step-by-step explanation:
Pls help I need a good grade
A
Step-by-step explanation:
m+n
2..................
Show solution please
Answer:
d
d
b
a
c
a
b
Step-by-step explanation:
i have 25 coins,x of them ard R5 coins and the rest are R2 coins.What is an expression in terms of x for number of R2 coins?
9514 1404 393
Answer:
25 - x
Step-by-step explanation:
Subtracting the number of R5 coins from the total number of coins will give the number of R2 coins:
25 - x . . . . . . number of R2 coins
Find the amount of tax and the tax rate. Round to nearest hundredth of a percent . Cost of item: $118 Selling price: $132.37 Tax Amount: $ Tax Rate percentage%
Answer:
The amount of tax is $14.37 and the tax rate percentage is 12.18%
Step-by-step explanation:
Find the amount of tax by finding the difference between the cost and selling price:
132.37 - 118
= 14.37
Find the tax rate percentage by dividing the tax by the original cost, and multiplying it by 100:
(14.37/118) x 100
= 12.18
The amount of tax is $14.37 and the tax rate percentage is 12.18%
Francesca is growing 12 inch each year. How many years will it take for her to grow 6 inches?
A. 2 years
B. 4 years
C. 8 years
D. 12 years
Answer:
If she is growing 12 inches a year, then it would take her 6 months to grow 6 inches. Unless you didn't write the question correctly, none of those are the answer..
The function f(x) = -2x2 + 10x models the height above the ground, in
cm, of a jumping frog where x is the horizontal distance, in cm, the frog
traveled during the jump. What was the horizontal distance, in cm, that
the frog traveled during its jump?pls explain how u got the answer
Answer: I think its 1
Step-by-step explanation:
What is the slope of the line that passes through the points (26, 7) and (-39, 12)?
A 11/13
Step-by-step explanation:
1
What is the equation for this word problem?:
Ravi needs to read 3 novels each month.
Let N be the number of novels Ravi reads in M months
Help!
Answer:
N = 3M
Step-by-step explanation:
Avenue A is perpendicular to North Street. What is
the relationship between Avenue A and South
Street? Explain your reasoning.
South Street is parallel to North street, so the relationship between Avenue A and South St is also perpendicular.
The relationship between Avenue A and South Street is Both are perpendicular to each other.
What is Direction Sense?
Ability to find one's way around easily in a new place or a good/poor sense of direction.
Here, Avenue A is perpendicular to North street
and North street is parallel with south street
Thus, Avenue A is perpendicular to south street.
Learn more about Direction Sense from:
https://brainly.com/question/9238896
#SPJ2
Directions: Write your answer in the box. Do not use spaces.
Find the volume of the microwave popcorn box when the length is doubled.
XOTIR
FOPCOXE
h = 6.25 in.
Nota
TN
show
side.
w - 2.5 in.
26 in.
I
Volume doubled =
in3
a
b
Answer:
New volume will become 187.5 inch²
Step-by-step explanation:
Initial volume,
V = lbh
Put all the values,
V = 6.25 × 2.5 × 6
V = 93.75 inch³
When the length is doubled, l' = 2(6) = 12 inch
New volume,
V' = 12 × 6.25 × 2.5
= 187.5 inch²
So, when the length is doubled, the new volume will become 187.5 inch².
2. A bicycling club has 58 members, of which 4 are males and the rest are females. What is the ratio of females to males?
please help is ratio
Answer: 54:4
Step-by-step explanation:
Find the interquartile range for each data set.Round your answers to the nearest tenth. 19,13,15,26,11,15,17,5,2,0,2,2,4,3,4,6
Answer:
12.5
Step-by-step explanation:
have a good day! :)
The long side of a rectangle is 2b + 3 units, and its area is 2b ^ 2 - 5b - 12 Find the width .
Answer:
b - 4
Step-by-step explanation:
This can be done by factoring.
Area = length x width
2b^2 - 5b - 12 = (2b + 3)( ???)
Factor the area into (2b + 3)(b - 4). The width is b - 4.
Answer:
The answer is b - 4
Step-by-step explanation:
Simon bought of a pound of tuna salad for sandwiches. Which fraction is
equivalent to 6/8
A.2/4
B.1/2
C.2/3
D. 12/36
1. Which expression represents the
factored form of x2 - 13x + 36?
A (x - 4)(x - 9)
B (x - 3)(x - 12)
C (x + 9)x - 4)
D (x + 12)(x - 3)
Answer: Hello, There! your Answer is Below
A (x - 4)(x - 9)
Step-by-step explanation:
Find p, and q, knowing sum = b = 13 and product c = 36. Compose factor pairs of 36-> (2, 18)(2, 12)(4, 9). this last sum is 9 = b. Then p = 4 and q = 9
Hope this Helps you!!
Have a great day!!
pls answer this about mathh
Note :: no links no explain no
Step-by-step explanation:
B.
AC =BC
2x-6=x+8
2x-x=8+6
x=14
5) AC = 2x-6=2(14)-6=28-6= 22
6) BC = x+8= 14+8= 22
7) AB = AC+BC = 22+22= 44
C.
AC =BC
4x+10=7x-5
4x-7x= -5-10
-3x= -15
x= -15/-3 = 5
8) AC = 4x+10=4(5) +10=20+10= 30
9) BC = 7x-5= 7(5) -5=35-5= 30
10) AB = AC+BC = 30+30= 60
B) Solution
AC = BC
→ 2x-6 = x+8
→ 2x-x = 8+6
→ x = 14
5:- AC = 2x-6 = 2(14)-6 = 28-6 = 22
6:- BC = x+8 = 14+8 = 22
7:- AB = AC+BC = 22+22 = 44
C) Solution
AC = BC
→ 4x+10 = 7x-5
→ 4x-7x = -5-10
→ -3x = -15
→ x = -15/-3
→ x = 5
8:- AC = 4x+10 = 4(5) +10 = 20+10 = 30
9:- BC = 7x-5 = 7(5)-5 = 35-5 = 30
10:- AB = AC+BC = 30+30 = 60
Raul has a garden shaped like the trapezoid below. All the
measurements are in feet.
6
7
4
5
8
What is the area of the garden in square feet?