Answer:
18 minutes
Step-by-step explanation:
Given that the time (T) varies directly as the number of spectators (S) and varies inversely as number of open exits (E).
Hence:
T ∝ S; T ∝ 1 / E
Let k be the constant of proportionality. This gives:
T = kS / E
when T = 12 minutes, S = 20000, E = 20. Hence:
12 = k(20000) / 20
20000k = 240
k = 12 / 1000
This gives:
T = [tex]\frac{12}{1000}(\frac{S}{E} )[/tex]
When S = 36000, E = 24, we are to calculate the time (T):
[tex]T=\frac{12}{1000} (\frac{36000}{24} )=18\\[/tex]
T = 18 minutes
A rep hockey team has two goalies. Goalie A has a save percentage of 0.92 and Goalie B has a save percentage of 0.89. If goalie A plays 75 percent of the games and goalie B plays 25 percent of the games then: a) Determine the probability that a save has been made by either goalie A or goalie B. b) If a save has been made, what is the probability that is was goalie A? c) If a goal was let in, what is the probability it was goalie B?
Answer:
a) 0.9125
b) 0.756
c) 0.314
Step-by-step explanation:
The save percentage of Goalie A = 0.92
The save percentage of Goalie B = 0.89
The percentage of the games Goalie A plays = 75 percent
The percentage of the games Goalie B plays = 25 percent
a) The probability that a save has been made by either Goalie A or Goalie B
Therefore we get;
The probability that Goalie A made a save, P(A) = 0.92 × 0.75 = 0.69
The probability that Goalie B made a save, P(B) = 0.89 × 0.25 = 0.2225
For mutually exclusive events, we have;
P(A) or P(B) = P(A) + P(B)
∴ P(A) or P(B) = 0.69 + 0.2225 = 0.9125
The probability that a save has been made by either Goalie A or Goalie B, P(A) or P(B) = 0.9125
b) Where there are 10,000 attempts, made evenly in all games, we have;
The number of attempts made with Goalie A playing = 10,000 × 0.75 = 7,500
The number of saves Goalie A makes = 0.92 × 7,500 = 6,900
The number of saves for 10,000 attempt = (P(A) or P(B)) × 10,000 = 0.9125 × 10,000
The number of saves for 10,000 attempt = 9,125
∴ The probability that Goalie A saves = 6,900/9,125 ≈ 0.756
c) Out of the 2,500 attempts at Goalie B, the number of goals let in is given as follows;
P(Goal B) = 2,500 - 2,500 × 0.89 = 275
The number of goals let in by Goalie A, we have;
P(Goal A) = 7,500 - 7,500 × 0.92 = 600
Therefore, the total number of goals let in = 300 + 275 = 875
The probability that the goals was let in by Goalie B = 275/875 = 11/35 ≈ 0.314.
Which expression is equivalent to 5y - 3x + 2?
A. 2-3x - 5y
B. 5y - 2+ 3x
C. 3x - 5y + 2
D. -3x + 5y + 2
Answer:
D)
Step-by-step explanation:
Answer:
-3x + 5y + 2.
Step-by-step explanation:
help me with this math question please I'm giving away brainliests
Answer:
orangeeeeeee
Step-by-step explanation:
Which table corresponds to the function y = -3x + 11?
Answer:
im not a 100% sure but i think its the 3rd one
The third table represents the linear function y = -3x + 11 so option (C) is correct.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given function,
y = -3x + 11
Put x = 0
y = -3 x 0 + 11 = 11
Put x = 1
y = -3(1) + 11 = 8
Put x = 2
y = -3 x 2 + 11 = 5
Since the values in table third are satisfied thus it will be correct.
Hence "The linear equation for the third table is y = -3x + 11.".
For more about the linear function,
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does it represent the range, mode, median, or mean
Answer:
median
Step-by-step explanation:
in a box plot, it does not represent the mean, just so you know.
mode = largest number.
range = difference between largest number and smallest number
Find the circumference of each of the circles described below.
a. Radius of 3 inches
b. Diameter of 27 cm
Answer:
a) 18.85 or 19
b) 84.82 or 85
Whoever help me with question will get 10 points
Step-by-step explanation:
B The answer is B
10.9-> 11
A. 6.25%
B. 3.125%
C. 25%
D. 22%
Answer:
I think the answer is D. 22%
Answer:
b is correct
Step-by-step explanation:
Which of the following best describes a simple random sample?
A. Each member of the population has an equal chance of being chosen
B. Each member of the sample has an equal chance of being chosen
C. A percentage of the population is chosen
D. Randomly selected one person from the population
Aiden brought chocolate and vanilla cupcakes to school for his birthday. 12 students picked a vanilla cupcake and 88 students picked a chocolate cupcake. What percentage of the students picked a vanilla cupcake?
Answer:
the percentage is 12%
Step-by-step explanation:
Given that
The 12 students picked up the vanilla cupcake
And, 88 students picked up the chocolate cupcake
We need to find out the percentage of the students picked up a vanilla cupcake
So, the percenatge is
= (12) ÷ (12 + 88) × 100
= 12 ÷ 100 × 100
= 12%
Hence, the percentage is 12%
Solve for y:
y - (-10) = -41
Answer:
y = -51
Step-by-step explanation:
Apply the - (-a) = a rule.
y + 10 = -41
Subtract 10 from both sides
y + 10 = -41
-10 -10
y = -51
The shaded cells represent ________.
Question 9 Please Help
Answer:
Step-by-step explanation:
The third option is correct
please help!! ill rate 5 and like!!
Answer:
2x < 5
2x/2 < 5/2
x < 5/2
x ∈ ( -∞, 5/2 )
Step-by-step explanation:
PLZ PLZ HELP WILL MARK BRAINLIEST Select ALL the correct answers. Select all the expressions that will include a remainder.
Answer: a, b, and finally d
Step-by-step explanation:
An airplane is navigating a polygon-shaped course. Each turn is labeled with the measure of the external angle at the striped post. What is m<1
M<1 = ?
Answer:
100
Step-by-step explanation:
A phone company offers two monthly plans. Plan A costs $12 plus an additional $0.16 for each minute of calls. Plan B costs $29 plus an additional $0.12 for
each minute of calls.
For what amount of calling do the two plans cost the same?
What is the cost when the two plans cost the same?
Answer:
425 min$80Step-by-step explanation:
The equation to reflect the monthly plans:
Plan A f(x) = 0.16x + 12Plan B g(x) = 0.12x + 29We need to find the value of x when f(x) = g(x):
0.16x + 12 = 0.12x + 290.16x - 0.12x = 29 - 120.04x = 17x = 17/0.04x = 425 minutesThe cost is:
$0.16*425 + $12 = $80If we put on equations
y=0.16x+12y=0.12x+29Amount of calling is x and cost is y
solve
0.16x+12=0.12x+290.04x=17x=17/0.04x=425minCost
0.12(425)+29=$80Mr. Jones surveyed his class to find out how many students feel that Math is their favorite subject. Based on these results, how many students would say that Math is their favorite subject if he asked all 150 students in the 6th grade class.
Answer:
im not sure
Step-by-step explanation:
I remember doing this but i forget
¿Cuál es el volumen en pulgadas cúbicas de una esfera cuya circunferencia mide 64 pulgadas?
Answer:
4445.18 pulgadas cúbicas
Step-by-step explanation:
Paso 1
La fórmula para la circunferencia de una esfera = 2πr
Circunferencia de una esfera = 64 pulgadas
Por eso,
64 = 2πr
Por lo tanto, encontramos r
Dividir ambos lados por 2π
64 / 2π = 2πr / 2π
r = 10.185916358 pulgadas
Radio r = 10.2 pulgadas
Paso 2
Volumen de una esfera
= 4/3 × π × r³
r = 10.2 pulgadas
Por lo tanto, 4/3 × π × (10.2) ³
= 4445.18 pulgadas cúbicas
Por lo tanto, el volumen en pulgadas cúbicas de una esfera = 4445.18 pulgadas cúbicas
$450 at 7% for 2 years.
Answer:
63
Step-by-step explanation:
Charlotte the turtle was born with 4 squares on her shell,
as in the first picture below. When she was 1 year old, 12
new squares appeared around the old squares, as in the
second picture below. Each year, a new group of squares
appeared around the old squares.
Answer:
Step-by-step explanation:
The average distance from the sun to the planet Neptune is 2,795,080,000 miles. Write this in distance word form
Answer:
Two billion seven hundred and ninety million eighty thousand.
Step-by-step explanation:
There are [tex]9[/tex] digits after [tex]2[/tex] that means the number is said to be a billion.
[tex]795[/tex] comes in the millions place. This means there are [tex]6[/tex] zeros after [tex]795[/tex].
[tex]080[/tex] comes in the thousands place. This means there are [tex]3[/tex] zeros after [tex]80[/tex]
So, the number will be read as Two billion seven hundred and ninety million eighty thousand.
PLEASE HELP...FAST :)!!
You are playing a game similar to shuffleboard, where you need to slide a puck into the light gray area of the board in order to score points. The board is surrounded by wood boards that keep the puck in the playing surface. An image of the board and its dimensions are shown below.
What is the probability that you slide the puck into the light gray area? Your answer may be written as a fraction or a decimal
The probability is ________________
The probability that one can slide the puck into the light gray area will be 0.72.
How to calculate the probability?From the information given, the board is surrounded by wood boards that keep the puck in the playing surface.
In this case, the probability that you slide the puck into the light gray area will be:
= 4feet/(4 feet + 1.5 feet)
= 4/5.5
= 0.72
Learn more about probability on:
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Please (You can put answer only) Find the distance between the two points rounding to the nearest tenth (if necessary).
(4, -8) and (2, -4)
Answer:
12.16 u
Step-by-step explanation:
Given :-
Two points (4,-8) and (2,-4) is given to us.And we need to find out the distance between the two points . So , here we can use the distance formula to find out the distance. As,
[tex]:\implies[/tex] D = √{(x2-x1)² + (y2-y1)²}
[tex]:\implies[/tex] D =√[ (4-2)² +(8+4)²]
[tex]:\implies[/tex] D =√[ 2² +12²]
[tex]:\implies[/tex] D =√[ 4 +144]
[tex]:\implies[/tex] D = 12.16
Hence the distance between the two points is 12.16 units .Demetrius deposits $120 into his account. One week later, he withdraws $36. Write an ADDITION problem to represent this situation.
Answer:
$84
Step-by-step explanation:
Given data
Initial deposite= $120
One week later, he withdraws $36
New Balance= 120+(-36)
New Balance=120-36
New Balance=$84
WILL GIVE THANKS, BRAINIEST, AND 5 STARS! PLEASE HELP!
Answer:
30
Step-by-step explanation:
C(n) = 5n, 0 ≤ n ≤10 You would use this formula because 6 is greater than 0 but less than 10.
C(n) = 5n, 0 ≤ n ≤10 ← You can just ignore the 0≤ n ≤10 part.
C(6) = 5(6) Input the value 6 as x.
C(6) = 30
The answer is that 6 shirts costs 30 dollars.
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answer:
#3 is 74 and adjacent #4 is 29 and adjacent #5 is 48 and vertical
Step-by-step explanation:
just trust me i had the same questions
Help on Math please and thank you
Answer:
the value of x to the nearest tenth is 12 * x
Angie, Keisha and Chen shared 125 stickers among themselves. Keisha and Chen received an equal number of stickers and Angie received one less sticker. How many stickers did Keisha receive?
Answer:
42 stickers
Step-by-step explanation:
Let
x = number of stickers Keisha and chen received
x - 1 = number of stickers Angie received
Total stickers = 125
125 = x + x + (x - 1)
125 = 2x + x - 1
125 + 1 = 3x
126 = 3x
x = 126/3
x = 42 stickers
x = number of stickers Keisha and chen received = 42 stickers
x - 1 = number of stickers Angie received = 42 - 1 = 41 stickers
Whats 1/7 + 3/4 ?
Please help me?
Answer:
25/28
Step-by-step explanation:
28 is the greatest common factor, found by multiplying 7 by 4 (the denominators)
1/7 = 4/28
3/4 = 21/28
21/28 + 4/28 = 25/28
An Brainly Question:
Whats 1/7 + 3/4 ?
Answer:
25/28
Step-by-step explanation:
Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.
So, we multiply 1 by 4, and get 4, then we multiply 7 by 4 and get 28.
Let's add
1
7
+
3
4
Step 1
Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.
So, we multiply 1 by 4, and get 4, then we multiply 7 by 4 and get 28.
1/7 times 4
Now for the second term. You multiply 3 by 7, and get 21, then multiply 7 by 4 and get 28.
3/4 times 7
We now have a new problem, that looks like this:
4
28
+
21
28
Step 2
Since our denominators match, we can add the numerators.
4 + 21 = 25
That gives us the sum, which is
25
28
Step 3
Now, do we need to simplify this fraction?
First, we attempt to divide it by 2...
Nope! So now we try the next greatest prime number, 3...
Nope! So now we try the next greatest prime number, 5...
Nope! So now we try the next greatest prime number, 7...
Nope! So now we try the next greatest prime number, 11...
Nope! So now we try the next greatest prime number, 13...
Nope! So now we try the next greatest prime number, 17...
Nope! So now we try the next greatest prime number, 19...
Nope! So now we try the next greatest prime number, 23...
Nope! So now we try the next greatest prime number, 29...
No good. 29 is larger than 25. So we're done reducing.
There you have it! Here's the final answer to 1/7 + 3/4
1
7
+
3
4
=
25
28
You ARE SUPPOSED TO BE IN BRAINLY.IN FOR 5th Grade and LESSWhat is the value of the expression “eight more than three times the difference of four and a number” when n = 3?
44
19
17
11
Answer:
11
Step-by-step explanation:
8 + 3*(4-3) = 8 + 3*1 = 8+3 =11
Answer:
its 11
Step-by-step explanation: