Answer:
A) 0.1339
B) 0.8078
Step-by-step explanation:
The Poisson Distribution formula is given by;
P(x; μ) = (e^(-μ) × (μ^(x))/x!
We are given;
Variance = 0.5 per month
Now, in Poisson distribution, variance = mean.. Thus, mean μ = 0.5 per month
A) We want to find the probability that 4 typhoons will hit US in a year.
Thus, x = 4
But since it's for a year, then μ = 0.5 × 12 = 6
So;
P(x = 4) = (e^(-6) × (6^(4))/4!
P(x = 4) = 0.00247875 × 1296/24
P(X = 4) = 0.1339
B) probability that at least 2 typhoons will hit US in a given half-year is;
P(X ≥ 2) = 1 - P(X < 2)
P(X < 2) = P(X = 0) + P(X = 1)
In a half given year, μ = 0.5 × 6 = 3
P(X = 0) = (e^(-3) × (6^(0))/0!
P(X = 0) = 0.0498
P(X = 1) = (e^(-3) × (6^(1))/1!
P(X = 1) = 0.1494
P(X < 2) = 0.0498 + 0.1494
P(X < 2) = 0.1922
P(X ≥ 2) = 1 - 0.1922
P(X ≥ 2) = 0.8078
Find the value of x
a)105°
b)85
c)75
d)25
Answer:
c) 75
Step-by-step explanation:
180-155 = 25
80+25+x=180
x = 75
Step-by-step explanation:
By Exterior Angle Theorem,
x = 155° - 80° = 75° (C).
There are 60 seconds in a minute use a tape diagram to find the total number of seconds in 5 minutes and 45 seconds
60 x 5 + 45 = 345 Seconds
The manufacturer of official NFL footballs uses a machine to inflate its new balls to a pressure of 13.5 pounds. When the machine is properly calibrated , the mean inflation pressure is 13.5 pounds, but uncontrollable factors cause the pressures of individual footballs to vary randomly from 13.3 to 13.7 pounds. For quality control purposes, the manufacturer wishes to estimate the mean inflation pressure to within 0.025 pound of its true value with a 99% confidence interval. What sample size should be used
Answer:
106
Step-by-step explanation:
Given that:
Mean (m) = 13.5 pounds
Error margin = 0.025
α = 99%
Variation interval = range = 13.3 to 13.7
Standard deviation (σ) estimate from range :
Range / 4
(13.7 - 13.3) /4
= 0.4 / 4
= 0.1
Zcritical at 99% = 2.576
Using the formula :
Sample size (n) = [ (Zcritical * σ) / M. E]^2
n = [(2.576 * 0.1) / 0.025]^2
n = (0.2576 / 0.025)
n = 10.304^2
n = 106.172
n = 107 samples
A soccer team sells three items for a fundraiser. The table shows the total sales for the items.
The team gets to keep $1 for every $10 in total sales.
Item Total Sales
Hats $196
T-shirts $504
Sweatshirts $420
Part A
If t is the total sales and k is the amount of money the team gets to keep,
which equations can be used to find the amount the team gets to keep?
Choose all that apply.
A. t ÷ 10 = k
B. k ÷ t = 10
C. 10 × t = k
D. t = 10 × (196 + 504 + 420)
E. 196 + 504 + 420 = t
Part B
How much money does the team get to keep? Enter your answer in the box.
SHOW
YOUR
WORK!!
X -
-67 V6 ²-4ac
2a
The
equation d = n²-12n + 43
models the number of defective
items a produced in a manufacturing process where there are
workers in a restricted
area
a) solve for
n
When
d=30
INTL
DLL
Answer:
1.20, 10.8
Step-by-step explanation:
d = n^2 - 12n + 43
d = 30
30 = n^2 - 12n + 43
0 = n^2 - 12n + 13
now solve for n using quadratic formula:
a=1, b=-12, c=13
n = (-b +- sqrt( b^2 -4ac))/2a
two answers ( one for + the square root, one for - the square root)
n = 1.20, n = 10.8
16y5+4y5-12y3+15y3?
What is the simplified form?
Answer:
[tex]20y^5+3y^3[/tex]
Step-by-step explanation:
[tex]16y^5 + 4y^5 -12y^3 + 15y^3[/tex]
All we can do here is combine like terms (add those that have the same the same exponent)
[tex]20y^5+3y^3[/tex]
Good luck!
Answer:
[tex]20y^{5} +3y^{3}[/tex]
Step-by-step explanation:
[tex]16y^{5} +4y^{5} =20y^{5}[/tex] and [tex]-12y^{3} +15y^{3} =3y^{3}[/tex]
So [tex]20y^{5} +3y^{3}[/tex]
`y=2x+1` was a positive slope because...
Step-by-step explanation:
.....because the coefficient of x is 2, a positive number.
2x+y=42
8x+7y=36
Using the process of eliminations.
Answer:
x=43,y=-44
Step-by-step explanation:
hey i hope it helps you
2x+y=42(7)
8x+7y=36(1)
14x+7y=294
8x+7y=36
6x=258
divide both sides by 6
x=43
to get y
2x+y=42
equate x=43
8(43)+7y=36
344+7y=36
344-36=7y
308=7y
divide both sides by 7
y=-44
Simplify this problem :
2 5/8 - 1 1/3
Answer:
-1 1/24
Step-by-step explanation:
Answer:
31/24 is the simplified answer
Step-by-step explanation:
83, 15, 50, 28, 52, 96 - What is the mean? What is the mode? What is the median?
Answer: mean-54 mode-1 median-50
Step-by-step explanation:
If two sides of a triangle are 7 and 14, the third side may be?
Given that 1 inch = 2.54 cm, how many centimeters are there in 5 feet?
Answer: 152.4 cm
Step-by-step explanation:
The inter quartile range of a distribution is 7. If the 25th percentile is 16. Find the upper quartile
Given:
Inter quartile range(IQR) of a distribution = 7
25th percentile = 16
To find:
The upper quartile.
Solution:
We have,
IQR = 7
25th percentile = lower quartile = 16
We know that,
IQR = Upper quartile - Lower quartile
Let the upper quartile be [tex]Q_3[/tex].
Using the above formula, we get
[tex]7=Q_3-16[/tex]
Adding 16 on both sides, we get
[tex]7+16=Q_3-16+16[/tex]
[tex]23=Q_3[/tex]
Therefore, the upper quartile of the distribution is 23.
A rectangular monitor's size is measured diagonally from 1 comer to the opposite comer. What is the size of a rectangular monitor that is 30 centimeters wide by 24 centimeters high,
nearest
Answer:
somewhere around 38-44
Step-by-step explanation:
i would like brainliest plz, i know bad answer
Answer:
How do you solve it?
Step-by-step explanation:
1/ The Hotel is 163 miles from your house.your car travels 10.5 miles for every litre of petrol. Work out approximately how many litres of petrol the journey will use.
2/The price of petrol is 138.9 pence per litre Work out the approximate cost for the petrol to the hotel .
3/ you expect to travel 50 miles in each hour of a jurney how long the whole journey should take
please help.
Answer:
1. The journey will use 15.52 liters of petrol.
2. The approximate cost of petrol to hotel will be 2155.73 pence
3. The whole journey will take 3.36 hours
Step-by-step explanation:
Given that:
Distance of hotel from house = 163 miles
Distance covered by per liter = 10.5 miles
1/ The Hotel is 163 miles from your house.your car travels 10.5 miles for every litre of petrol. Work out approximately how many litres of petrol the journey will use.
Petrol used for total distance = [tex]\frac{Total\ distance}{Distance\ per\ liter}[/tex]
Petrol used for total distance = [tex]\frac{163}{10.5}=15.52\ liters[/tex]
The journey will use 15.52 liters of petrol.
2/The price of petrol is 138.9 pence per litre Work out the approximate cost for the petrol to the hotel .
Cost of per liter petrol = 138.9 pence
Cost for petrol to hotel = Petrol used for journey * Price per liter
Cost of petrol = 138.9 * 15.52 = 2155.73 pence
The approximate cost of petrol to hotel will be 2155.73 pence
3/ you expect to travel 50 miles in each hour of a jurney how long the whole journey should take.
Distance covered per hour = 50 miles
Time taken in whole journey = [tex]\frac{total\ distance}{distance\ per\ hour}[/tex]
Time taken in whole journey = [tex]\frac{168}{50}[/tex]
Time taken in whole journey = 3.36 hours
The whole journey will take 3.36 hours
Hence,
1. The journey will use 15.52 liters of petrol.
2. The approximate cost of petrol to hotel will be 2155.73 pence
3. The whole journey will take 3.36 hours
As an estimation we are told €4 is $5. What is the conversion rate from € to $? Give your answer rounded to 2 DP.
Answer:
$1.25/€
Step-by-step explanation:
€4 = $5
Divide both sides by €4.
€4/€4 = $5/€4
1 = $5/€4 = $1.25/€
Since $1.25/€ is equal to one, multiplying a number of euros by it will not change the value of the number. It will convert it from euros to dollars.
Answer: $1.25/€
What is the area of the triangle? Make me brainlest pleas
Answer:
i looked it up
Step-by-step explanation:
A garden shop always sells the same number of plants per box. If there are 70 plants in 2 boxes, how many plants would be in 5 boxes?
Answer:
175
Step-by-step explanation:
First figure out how many plants are in each box.
70 / 2 = 35
Then use this to find the number of plants in each box.
35 x 5 = 175
Solve The Equation !
‐5x – 3 < 2x – 18
Answer:
x>15/7
Step-by-step explanation:
Solve five ninths minus two sixths
options:
twelve fifty fourths
twenty fifty fourths
six thirds
three over one
Solve for the value of f: ½(6 + 4) + 5f = 10
Answer:
Start by combing any like variable and distributing the values.5+5f=10 5f=5f=1What is 3/8 divided by 4/1
Please help me ASP
Give me a Fraction Mixed number word problem
WORD PROBLEM:
Flock of birds flew for 2 3/4 hours. The next day , they flew for 3 4/5 hours. How many hours did the birds fly in total?PROBLEM:2 3/4 + 3 4/5Asap, show the shaded area of the graf of lines 7x+10y=70, x-2y=0, 2x+y=0...
Answer:
The answer is i have no clue
True or False: Receipts are a way to document or keep track of your expenses.
Answer:
True
Step-by-step explanation:
I hope this is correct and have a great day
Answer:
True
Step-by-step explanation:
People save receipts to keep track of their previous purchases and expenses.
I hope this helps
Find those ^^^^^^^^^^^^^^
Answer:
m<G=60 degrees.
equilateral or equiangularTriangle
Step-by-step explanation:
triangle is 180 degrees
all these angles are congruent
means they all equal the same
180/3=60
Tom got on a scale while on a vacation in France and noticed he weighed 75 kg. He read in a guidebook that 1 lb. = 0.45 kg. How much does Tom weigh in pounds
Answer:
166.67 pounds
Step-by-step explanation:
Set up a proportion where x is Tom's weight in pounds:
[tex]\frac{75}{x}[/tex] = [tex]\frac{0.45}{1}[/tex]
Cross multiply and solve for x:
75 = 0.45x
166.67 = x
So, Tom weighs approximately 166.67 pounds
In triangle $XYZ,$ $\angle Y = 45^\circ$ and $\angle Z = 60^\circ.$ If $XZ = 4,$ then what is $XY$?
[asy]
unitsize(3 cm);
pair X, Y, Z;
X = (0,1);
Y = (-1,0);
Z = (1/sqrt(3),0);
draw(X--Y--Z--cycle);
label("$45^\circ$", Y + (0.3,0.1), fontsize(10));
label("$60^\circ$", Z + (-0.2,0.1), fontsize(10));
label("$X$", X, N);
label("$Y$", Y, SW);
label("$Z$", Z, SE);
label("$4$", (X + Z)/2, NE);
[/asy]
Answer:
[tex]XY = 4.9[/tex]
Step-by-step explanation:
[tex]\angle Y = 45^\circ[/tex]
[tex]\angle Z = 60^\circ[/tex]
[tex]XZ = 4[/tex]
Required
Determine the length of XY?
This question is supported with the attachment.
To solve for the length of XY, we make use of the sine law which states:
[tex]\frac{sin\ A}{a} = \frac{sin\ B}{b} = \frac{sin\ C}{c}[/tex]
In this case:
[tex]\frac{sin\ \angle Y}{XZ} = \frac{sin\ \angle Z}{XY} = \frac{sin\ X}{YZ}[/tex]
Substitute in, the following values:
[tex]\angle Y = 45^\circ[/tex]
[tex]\angle Z = 60^\circ[/tex]
[tex]XZ = 4[/tex]
The expression becomes:
[tex]\frac{sin\ 45}{4} = \frac{sin\ 60}{XY}[/tex]
Cross multiply
[tex]XY * \sin\ 45 = 4 * \sin\ 60[/tex]
Make XY the subject
[tex]\frac{XY * \sin\ 45}{\sin\ 45} = \frac{4 * \sin\ 60}{\sin\ 45}[/tex]
[tex]XY = \frac{4 * \sin\ 60}{\sin\ 45}[/tex]
[tex]XY = \frac{4 * 0.8660}{0.7071}[/tex]
[tex]XY = \frac{3.4640}{0.7071}[/tex]
[tex]XY = 4.89888276057[/tex]
[tex]XY = 4.9[/tex] --- approximated
Answer:
XY = 4.9
Step-by-step explanation:
In the figure, if the measure of ∠1 = 112o, what's the measure of ∠12?
Answer:
the measure of angle 12 is 68degrees
Can anyone help with this it is for Geometry
Answer:
three angle one slide
Step-by-step explanation: