Answer:
Step-by-step explanation:
From the given information:
6 cars pass on the road per minute. This implies that per minute, we will have:
6/60 passes = 0.1 car passing the road per second
Thus, for 5 sec; we have:
5 × 0.1 = 0.5
Let assume X signifies to be a random variable which denote the no of cars in the next 5 minutes and which follows a Poisson distribution.
i.e.
[tex]X \sim Poisson (0.5)[/tex]
[tex]\text{P(collision occurs) = 1 - P(no car coming in the following 5 seconds)} \\ \\ =1 - P(X=0)[/tex]
[tex]= 1- \dfrac{[e^{-0.5\times 0.5^0}]}{0!}[/tex]
[tex]= 1 - e^{-0.5}[/tex]
[tex]= 1 - 0.6065[/tex]
[tex]= 0.3935[/tex]
However, the possibility of collision supposes the deer requires 2 seconds to cross the road can be computed as follows:
Suppose Y denote the arbitrary variable that addresses the no. of cars passing the road in 2 secs, then;
[tex]Y \sim Poisson (0.2)[/tex]
[tex]\text{P(collision occurs) = 1 - P(no car coming in the following 2 seconds)} \\ \\ =1 - P(Y=0)[/tex]
[tex]= 1- \dfrac{[e^{-0.2\times 0.2^0}]}{0!}[/tex]
[tex]= 1 - e^{-0.2}[/tex]
[tex]= 1 - 0.8187[/tex]
[tex]= 0.1813[/tex]
Rationalize the denominator 18/3root2+1
Answer:
[tex]\dfrac{18(3\sqrt2-1)}{17}[/tex]
Step-by-step explanation:
The given expression is :
[tex]x=\dfrac{18}{3\sqrt2+1}[/tex]
We need to rationalize the denominator.
Multiplying and dividing both sides by [tex]3\sqrt2+1[/tex] as follows :
[tex]x=\dfrac{18}{3\sqrt2+1}\times \dfrac{3\sqrt2-1}{3\sqrt2-1}\\\\=\dfrac{18(3\sqrt2-1)}{(3\sqrt2)^2-1}\\\\=\dfrac{18(3\sqrt2-1)}{(18-1}\\\\=\dfrac{18(3\sqrt2-1)}{17}[/tex]
So, the answer is [tex]\dfrac{18(3\sqrt2-1)}{17}[/tex].
What is the distance between (3, -2), (2, -4)?
please show all work i’ll mark brainliest
Answer:
2/6
Step-by-step explanation:
six sided die so 1/6 of any given number
5 and 6 are only numbers above four
2/7
What is the value of y?
Answer:
y = 25
Step-by-step explanation:
180 - 115 = x
x = 65
x + 90 + y = 180
65 + 90 + y = 180
y + 155 = 180
y = 25
Answer:
y = 25°
Step by Step explanation
Expand and simplify (x-3)(x+5)
Answer:
^2 + 2x-15
Hope this helps
What is the solution to the system of equations graphed below?
o
A. (1,1)
B. (0, -4)
C. (2.5)
D. (-5.-3)
Answer: b
Step-by-step explanation:
A drink and a sandwich together cost $4.85. The sandwich cost $1.35 more than the drink. How much does the sandwich cost.
The sandwich will cost $3.1.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Let's say the cost of 1 drink is d while the cost of 1 sandwich is s
Now,
Given that,
A drink and a sandwich together cost $4.85.
So,
s + d = 4.85
And,
The sandwich cost $1.35 more than the drink.
So,
s = 1.35 + d
By using substitution
s = 1.35 + 4.85 - s
2s = 6.2
s = 3.1
Hence "The sandwich will cost $3.1".
To learn more about the arithmetic operators,
brainly.com/question/25834626
#SPJ2
here are two numbers which add up to 17. If one number is 13 more than the other, find the two numbers.
Answer:
X+y=17
X=y+13
y+13+y-13=17-13
2y. =4
y=2.
X=2+13
X=15
the two numbers are 2 and 15
Can someone just help me with this simultaneous equations with substitution. I’ve asked ten times and no one has helped. Please
Answer:
I've answered this for you in your previous question. Hope it helped
Answer:
[tex]\huge\boxed{\sf Solution\ Set = \{x,y\} = \{1,2\}}[/tex]
Step-by-step explanation:
3x + 4y = 11 ----------------------(1)
x = 15 - 7y ----------------------(2)
Put Eq. (2) in (1)
3(15 - 7y) + 4y = 11
45 - 21y + 4y = 11
45 - 17y = 11
Subtracting 45 to bot sides
-17y = 11 - 45
-17y = -34
Dividing both sides by -17
y = -34 / -17
y = 2
[tex]\rule[225]{225}{2}[/tex]
Put y = 2 in Eq. (2)
x = 15 - 7(2)
x = 15 - 14
x = 1
[tex]\rule[225]{225}{2}[/tex]
Solution Set = {x,y} = {1,2}
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807C=35.50-0.07x
PLEASE ANSWER
Answer:
-x3
Step-by-step explanation:
On a coordinate plane, 4 points are plotted. The points are (1, 48), (2, 12), (3, 3), (4, 1).
Determine the explicit formula for the geometric sequence represented by the graph.
f(x) = (one-fourth) Superscript x
f(x) = 48 (one-fourth) Superscript x minus 1
f(x) = (4)x
f(x) = 48(4)x – 1
Answer:
f(x)=48 (4)x-1 это просто
Answer:
It is in Fact B.
Step-by-step explanation:
I Took this on Edge and it is right, if you have this question, then it is B.
help i can’t find this answer
Answer:
(-3,-17)
Step-by-step explanation:
Joachim has as many marbles as Leanne. Leanne has as many marbles as Alex. If Alex has
36 more marbles than Joachim, how many marbles do they have altogether?
Answer:
76
Step-by-step explanation:
6 divided by 2^5 (9x4-5^5+8)
Answer:
577.6875
Step-by-step explanation:
(6 / (2^5)) * ((9×4) - (5^5) + 8) = 577.6875
Please Help! One natural number is 4 more than the other one. The product of the two numbers is three times the square of the smaller number. Find the numbers.
Answer:
Let n and n+4 be the numbers. Then:
n² + 3(n+4)=66
n²+3n-54=0
(n+9)(n-6)=0
n=6 or -9
n+4=10
Assuming positive integers only, the numbers are 6 and 10…..
Step-by-step explanation:
100% right
Natural number are those number that is used for the purpose of counting and ordering. The two natural numbers are 4 and 6.
What are Natural numbers?Natural number are those number that is used for the purpose of counting and ordering. It is denoted by 'N'.
Let the first number(bigger number) be 'a', and the smaller number be b.
As it is given that the first number is 4 more than the second number. Therefore, the equation can be written as,
a = b + 4
Now, it is given that the product of the two numbers is three times the square of the smaller number. Since, when we add four to b we get a, therefore, b is the smaller number. Therefore, the equation can be written as,
[tex]ab = 3(b^2)\\[/tex]
As the value of a = b+4, substitute the value of a,
[tex](b+4)b = 3(b^2)\\\\(b+4) = \dfrac{3b^2}{b}\\\\b+4 = 3b\\\\4=3b-b\\\\4=2b\\\\b = 2[/tex]
Thus, the value of b is 2.
In order to get 'a' add 4 to the value of b, therefore, the value of a is,
[tex]a = b+4\\\\a = 2+4 \\\\a=6[/tex]
Hence, the two natural numbers are 4 and 6.
Learn more about Natural numbers:
https://brainly.com/question/17429689
Find the equation of this line.
Simplify the fractions.
Answer:
Step-by-step explanation:
Where's the line?
60 kids get pick 29 play sports there are 887 kids how many play sport
a)1,835
b)2
c)713
d)428
Answer:
428
Step-by-step explanation:
Its says out of 60, 29 of them play sports
so we want to use proportions to solve for how many would play if there were 887 kids
[tex]\frac{60}{29} =2.068965517\\\frac{887}{2.068965517} = 428[/tex]
thus meaning that out of 887 kids 428 of them would play sports
determine the following
Answer:
Step-by-step explanation:
PLEASE HELP ACELLLUS
9514 1404 393
Answer:
(-2)
Step-by-step explanation:
Put the point values in the given equation to see what the missing number is.
y = 1/2x + (_)
2 = 1/2(8) + (_) . . . . . substitute the given values
2 = 4 + (_) . . . . . . . . simplify
-2 = (_) . . . . . . . . . . . subtract 4
The green ? should be filled with -2.
Volume! please help will give brainiest
Tysm!!! please add reasoning if possible
Answer:
volume = base area * height
Step-by-step explanation:
[tex]1 \div 2 \times 6 \times 5 \times 11.5 =172.5in3[/tex]
Which inequality represents: 3 is less than y minus 2
Answer:
3>y-2
Step-by-step explanation:
your welcome i think
h(x) = 3x-2 then h(-6) =
Step-by-step explanation:
step 1. h(-6) = 3(-6) - 2
step 2. h(-6) = -18 - 2
step 3. h(-6) = -20.
Please help! Thank you.
Answer:
2.478x10^7
Step-by-step explanation:
They give you each radius, so you just add them together.
15,300,000+9,480,000=24,780,000 = 2.478x10^7
(or)
1.53x10^7+0.948x10^7= 2.478x10^7
hi please help!!! i’ll give you a brainless answer (question in picture)
Answer:
Oh easy here is the answer m=21
PLEASE HELP!! I WILL REWARD BRANIEST!
Answer: nate
Step-by-step explanation:
nate because 7.905 is higher than all of them
Here are the ages of 14 adults.
42
35
56
39
40
51
47
38
42
55
42
48
49
41
Draw an ordered stem and leaf diagram for these ages.
Answers
Step-by-step explanation:
Five adult tickets and three child tickets for a movie cost £58.
Two adult tickets and eight child tickets for a movie cost £47.
Find the cost of each type of ticket.
Answer:
Step-by-step explanation:
Answer:
so for the first one the cost for all the tickets is 412
for the last one the cost is 333
Step-by-step explanation:
Factor: 2x + 2y
Show work please
Answer:
2(x + y)
Step-by-step explanation:
You can pull out a 2 from the expression.
So divide 2x by 2 and 2y by 2.
2x/2 = x
2y/2 = y
2(x + y)
Lynn had 90 flyers to hang up around school she gave 12 flyers to each of three volunteers then she took the remaining flyers and divided them up equally among the three volunteers
Answer:
What's the question? If it's how much do each have each of the volunteers have 33 flyers.
Question 4(Multiple Choice Worth 4 points)
(7.02)
What is the value of q in the equation 5q- 10 = 75?
017
O 60
65
O 85
Answer:
17
Step-by-step explanation:
divide by 5 both side and q will be:
q-2=15 then take 2 to the other side which will be positive . therefore
q=17