Answer:
10.16% probability that at most 6 trains will pass his house in a 12-hour time period
Step-by-step explanation:
We are dealing with the mean during a period of time, so we use the Poisson distribution to solve this question.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
Colby has noticed that 21 trains pass by his house daily (24 hours)
We are working with 12 hour periods(half of 24), so [tex]\mu = \frac{21}{2} = 10.5[/tex]
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
What is the probability that at most 6 trains will pass his house in a 12-hour time period
[tex]P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)[/tex]
So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-10.5}*(10.5)^{0}}{(0)!} = 0[/tex]
[tex]P(X = 1) = \frac{e^{-10.5}*(10.5)^{1}}{(1)!} = 0.0003[/tex]
[tex]P(X = 2) = \frac{e^{-10.5}*(10.5)^{2}}{(2)!} = 0.0015[/tex]
[tex]P(X = 3) = \frac{e^{-10.5}*(10.5)^{3}}{(3)!} = 0.0053[/tex]
[tex]P(X = 4) = \frac{e^{-10.5}*(10.5)^{4}}{(4)!} = 0.0139[/tex]
[tex]P(X = 5) = \frac{e^{-10.5}*(10.5)^{5}}{(5)!} = 0.0293[/tex]
[tex]P(X = 6) = \frac{e^{-10.5}*(10.5)^{6}}{(6)!} = 0.0513[/tex]
[tex]P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0 + 0.0003 + 0.0015 + 0.0053 + 0.0139 + 0.0293 + 0.0513 = 0.1016[/tex]
10.16% probability that at most 6 trains will pass his house in a 12-hour time period
What is the constant of proportionality for the relationship shown in the table? x 2 4 6 8 y 1 2 3 4
1/2
2
or not proportional
Tori worked 48 hours one week. Her hourly pay for 40 hours is $16.20. Her overtime rate is 1.5. What was her
total pay that week?
1.4 + 3.2 x 2.95 =?
First one to help is gonna be marked brainliest.
Answer:
10.84
Step-by-step explanation:
First we multiply
1.4+(3.2×2.95)
1.4+9.44=
=10.84
The temperature at 6:00 a.m. was -6°F. By 12 noon, the temperature had increased by 15°F. What was the temperature at
12 noon?
Answer:
9°
Step-by-step explanation:
-6 + 15 = 9
how do i solve this step by step PLS HELP ASAP
Answer:
x=42
Step-by-step explanation:
step 1: multiply 3 to both sides of the equation to isolate x
then you get x=14x3=42
x=42
Answer:
X=42
Step-by-step explanation:
14 * 3= 42
14 = x/3
14= 42/3
divide
14=14
someone can help me ???
Answer:
wx=51
Step-by-step explanation:
8a-5=5a+16
3a=21
a=7
8(7)-5=wx
wx=51
Answer:
The length is 56
Step-by-step explanation:
First, since WX and ZY are the same length, set them equal to each other and solve for a:
8a-5 = 5a+16
8a = 5a + 21
3a = 21
a = 7
Now, you can plug in 7 for a in the original equation and get:
8a-5
8(7)-5
56-5
51
51 is your final answer!
Find the slope of the line graphed below.
Answer:
3over 2 because u go up by 3 and right by 2 u welcome
Which equation is a direct variation?
y=3/4x+5 y=4x-1 y=3(x+2) y=3/5x
Answer:
Since the equation can be written in the form
y
=
k
x
,
y
varies directly with
x
and
k
. The constant of variation,
k
, is
3
4
.
3
4
Step-by-step explanation:
Need help fast did I do correct
Answer:
You only got one right the right answers are "the graph is decreasing in intervals (1) and (4)" and "The graph shows a constant function in interval (3)"
Step-by-step explanation:
I took the test.
Hope this helpssss
Answer:
Only statements 1 and 5 are true.
Step-by-step explanation:
Statement 1: True
In intervals 1 and 4, the graph slopes down to the right. That shows a decreasing function.
Statement 2: False
Interval 2 goes up to the right. That is an increasing function, not a constant functions.
Statement 3: False
The graph increases in interval 2 but decreases in interval 4.
Statement 4: False
The graph has intervals of increase, decrease, and constant value.
Statement 5: True
Interval 3 is horizontal, so it is constant.
Answer:
Statements 1 and 5 are true. All others are false.
Which net represents this rectangular prism?
Martin won first place in the 100-meter dash with a time of LaTeX: 14\frac{23}{100}14 23 100 seconds. Samuel came in second place with a time of LaTeX: 15\frac{7}{10}15 7 10 seconds. Select True or False for each statement. A common denominator of the mixed numbers is 100. [ Select ] To find the difference between the runners’ times, Samuel’s time needs to be rewritten. [ Select ] Samuel’s time written with a denominator of 100 is LaTeX: 15\frac{70}{100}15 70 100 [ Select ] Martin beat Samuel by
Answer: 14 23/100
Step-by-step explanation:
if i buy 300 shirt for 7,200 but sell them for 30 dollars each what will be the percent markup
Answer:
Well if you are paying a total of $7,200 for 300 shirts that would make each shirt $24 each meaning you are selling them for $6 more making it a 20-25% markup.
Step-by-step explanation:
Simplify the following:
-11y² + 9y
Answer:
you can't simplify further
Step-by-step explanation:
Help me please will give brainliesttt
Factor 7x + 21 using the GCF
Answer:
7(x+3) GFC=7
Step-by-step explanation:
Answer:7(x+3)
Step-by-step explanation: Divide 7 on both sides which gives you 3 as your GCF so you write 7(x+3) .
Hope it helps :)
can you please explain to me the steps?
Answer:
I believe the second step would be evaluating the exponent so you just do 7×7 boom i hope i helped
b)convert 24 kilometres into miles - 1
Answer:14.9129
Step-by-step explanation:
Answer:
hmmm sorry i dont really know
Order the lengths of the sides in the given figure from least to greatest.
AC, AB, BC
BC, AB, AC
AC, BC, AB
AB, AC, BC
Answer:
AC,BC,AB
Step-by-step explanation:
CORRECT ME IF ME WRONG
Here a easy one tooooooooooooo
Answer: See explanation
Step-by-step explanation:
1.) There's an angle supplementary to m∠123°, that angle is y
y and m∠123° are supplementary since they're linear pairs
y + 123 = 180
Subtract both sides by 123
y = 57°
Now we know at least two angles of the triangle, x + y + m∠92° has to be 180° because they form a triangle.
x + y + m∠92° = 180°
x + 57 + 92 = 180
x + 149 = 180
Subtract both sides by 149
x = 31°
2.) We have to figure out the missing angle in the triangle, that missing angle is once again, y.
y + 100 + 25 = 180
y + 125 = 180
y = 55°
x and y are supplementary angles because they form a straight line
x + y = 180°
x + 55 = 180
Subtract both sides by 55
x = 125°
Hope I helped!
I need some help with this
Answer:20
Step-by-step explanation:m =2 So you plug in 2 as m now which means you do 12 times 2 which gives you 24.Lastly do 24 subtract 4 which gives you 20 .
Hope it helps :)
I need help
You buy two subs from Danny's for $5.97 each and you pay the cashier
$15. How much change will you get back?*
Answer:
3.06
Step-by-step explanation:
Answer:
You will get $3.06 back
Step-by-step explanation:
Add 5.97 + 5.97 = 11.94
then if you give the cashier $15 subtract what you owe, so 15 - 11.94 = 3.06
brainliest if you get it right
A
Step-by-step explanation:
the answer you chose is correct, multiplying the 4 members w 10 and the other one by 24,
The area of a rectangle with sides of 8m and 12 m is 96 sq.
True or false
Answer:
true
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
The area of a rectangle is A=lw.
If l=8 and w=12, then 8(12) = 96
Your units will be 96 sq. m, so the answer is True
HELP PLS I'LL GIVE BRAINLIEST!!!!!
Answer:
wht is you need help on? you just gave us a paper not saying anything else
Step-by-step explanation:
You have 54 pictures to put in a photograph album. Each page of the album holds 4 pictures. How many pages can you fill?
Answer:
You can fill 13.5 pages
Step-by-step explanation:
You would do 54 divided by 4 equals 13.5
What happens to the mean of the data set {10, 2, 8, 9, 5, 2, 6} if the number 12 is added to the data set? A. The mean increases by 2. B. The mean increases by 12. C. The mean increases by 0.75. D. The mean increases by 1.75.
Answer:
C. The mean increases by 0.75.
Step-by-step explanation:
The mean of a data set is given by the sum of all its values, divided by the number of values.
Data set {10, 2, 8, 9, 5, 2, 6}
7 values
Sum: 10 + 2 + 8 + 9 + 5 + 2 + 6 = 42
Mean: 42/7 = 6
Adding number 12 to the data set
Now we have 8 values
The sum is 42 + 12 = 54
The mean is 54/8 = 6.75
This means that the mean increases by 0.75.
Answer:
C. 7.5
Step-by-step explanation:
the mean increases by it
For triangle △ABC below, prove base angles A and C are congruent.
Answer: A and C are both acute angles
which ratios have a unit rate less than 1 ? choose all that apply
Answer:
2 feet : 12/5 minutes
1/8 foot: 1 2/3 minutes
3 feet : 4 2/3 minutes
1 5/8 feet :2 minutes
Step-by-step explanation: just did it on I-ready
if a rectangle has an area of 32cm², a height of 8cm,what is the length of the other side?
Answer:
the answer for this question is 4
Answer:
4
Step-by-step explanation:
Find the percent.
2% of 4,050 tiles is ________ tiles.
ASAP PLEASEEEEEE
Answer:
Step-by-step explanation:
=2/100×4050
=81
Hope it helped you.
Plz mark me brainliest.