Answer:
403 R2
Step-by-step explanation:
an acre is 4,840 so u divide by two and get 2,420 and then divide it by six
A major hurricane is a hurricane with wind speeds of 111 miles per hour or greater. During the 20th century the mean number of the major hurricanes to strike U.S mainland per year was 0.6. Find the probability that the number of major hurricane to strike U.S mainland in any any give year is: a) Exactly one b) At most one c) More than one
Answer:
a) 0.3293 = 32.93% probability that the number of major hurricane to strike U.S mainland in any any give year is exactly one.
b) 0.878 = 87.8% probability that the number of major hurricane to strike U.S mainland in any any give year is at most one.
c) 0.122 = 12.2% probability that the number of major hurricane to strike U.S mainland in any any give year is more than one.
Step-by-step explanation:
We have the mean during an interval, which means that the Poisson distribution is used 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.
During the 20th century the mean number of the major hurricanes to strike U.S mainland per year was 0.6.
This means that [tex]\mu = 0.6[/tex]
Find the probability that the number of major hurricane to strike U.S mainland in any any give year is:
a) Exactly one
This is P(X = 1). So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 1) = \frac{e^{-0.6}*0.6^{1}}{(1)!} = 0.3293[/tex]
0.3293 = 32.93% probability that the number of major hurricane to strike U.S mainland in any any give year is exactly one.
b) At most one
This is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
Then
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-0.6}*0.6^{0}}{(0)!} = 0.5488[/tex]
[tex]P(X = 1) = \frac{e^{-0.6}*0.6^{1}}{(1)!} = 0.3293[/tex]
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.5488 + 0.3292 = 0.878[/tex]
0.878 = 87.8% probability that the number of major hurricane to strike U.S mainland in any any give year is at most one.
c) More than one
This is:
[tex]P(X > 1) = 1 - P(X \leq 1) = 1 - 0.878 = 0.122[/tex]
0.122 = 12.2% probability that the number of major hurricane to strike U.S mainland in any any give year is more than one.
Justine made 3 loaves of banana bread.
If one serving is
5 loaf, how many servings does
Justine have?
Answer:
3/5 of a serving. Or 6/10. Since he doesn't have a whole serving.
Justine made 3 loaves of banana bread. If one serving is 5 loafs, then Justine has 3/5 servings.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Justine made 3 loaves of banana bread.
5 loafs = one serving
1 loafs = 1/5 seving
then, 3 loafs will take
= 3/5 serving
Learn more about the unitary method;
https://brainly.com/question/23423168
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What is the image of F for a dilation with center (0, 0) and a scale factor of 10? (−30, −30) (30, 30) (30, −30) (−30, 30)
Answer: (-30,30)
Step-by-step explanation:
f = -3,3, -3 times 10 = -30 and 3 times 10 = 30 etc
Find the median and mean of the data set below:
14, 25, 41, 4, 23, 8, 32
A rectangular field is nine times as long as it is wide. If the perimeter of the field is 1700 feet, what
are the dimensions of the field?
A) Write an equation you can use to answer the given question. Let w be the width of the field. Do not
solve the equation yet.
The equation is
X (Make sure you use the correct variable.)
B) Use your equation to find the dimensions of the field.
The width of the field is
x feet.
The length of the field is
x feet.
Answer:
I. L = 10.35 feet
II. W = 93.15 feet.
Step-by-step explanation:
Let the length of the rectangle be L.
Let the width of the rectangle be W.
Given the following data;
Perimeter of rectangular field = 1700 feet
Translating the word problem into an algebraic expression, we have;
W = 9L
Mathematically, the formula for the perimeter of a rectangle is;
P = 2(L + W)
A. To write an equation;
X = P = 2(L + W)
B. To find the dimensions of the field;
207 = 2(L + 9L)
207 = 2L + 18L
207 = 20L
L = 207/20
L = 10.35 feet
To find the weight;
W = 9L
W = 9 * 10.35
W = 93.15 feet.
Therefore, the width of the field is
93.15 feet and the length of the field is
10.35 feet.
Alguien me ayuda con este ejercicio: 10.- Investiga cuánto tiempo dura el embarazo en otras especies de mamíferos. Elige tres especies de mamíferos y compara la duración de sus embarazos con la duración en el ser humano.
Answer:
22
Step-by-step explanation:
(8 × 2) × 5 = 8 × (2 × 5)
Answer:
3 1/5
Step-by-step explanation:
An airline company is considering a new policy of booking as many as 318 persons on an airplane that can seat only 310. (Past studies have revealed that only 90% of the booked passengers actually arrive for the flight.) Estimate the probability that if the company books 318 persons. not enough seats will be available.
Answer:
Hence, the required probability is [tex]0.0004[/tex].
Given :
[tex]90\%[/tex] of the booked passengers arrive for the flight.
Number of booked passengers n [tex]=318[/tex]
Number of seats available x [tex]=310[/tex]
To find :
The probability that if the company books 318 persons.
Explanation :
[tex]n=318,x=310[/tex]
[tex]P=0.09(90\%)[/tex]
Mean [tex]\bar{x}=nP[/tex]
[tex]\Rightarrow \bar{x}=318\times 0.09[/tex]
[tex]\Rightarrow \bar{x}=28.62[/tex]
Standard deviation [tex]\sigma =\sqrt{nPq[/tex] where [tex]q=1-P[/tex]
[tex]\Rightarrow \sigma =\sqrt{318\times 0.09\times 0.91}[/tex]
[tex]\Rightarrow \sigma=\sqrt{26.0442}[/tex]
[tex]\Rightarrow \sigma =5.1033[/tex]
Required probability[tex]=P(x>310)[/tex]
[tex]=1-P(x<310)[/tex]
[tex]=1-P(\frac{x-\bar{x}}{\sigma}<\frac{310-28.62}{5.1033})[/tex]
[tex]=1-P(z<55.1368)[/tex]
[tex]=1-0.9995[/tex]
[tex]=0.0004[/tex]
The volume of a rectangular box with a square base remains constant at 500 cm3 as the area of the base increases at a rate of 6 cm2/sec. Find the rate at which the height of the box is decreasing when each side of the base is 15 cm long.
Answer:
the rate at which the height of the box is decreasing is -0.0593 cm/s
Step-by-step explanation:
Given the data in the question;
Constant Volume of a rectangular box with a square base = 500 cm³
area of the base increases at a rate of 6 cm²/sec
so change in the area of the base with respect to time dA/dt = 6 cm²/sec
each side of the base is 15 cm long
so Area of the base = 15 cm × 15 cm = 225 cm²
the rate at which the height of the box is decreasing = ?
Now,
V = Ah
dv/dt = 0 ⇒ Adh/dt + hdA/DT = 0
⇒ dh/dt = -hdA/dt / A
we substitute
dh/dt = [ -( 500 / 225 ) × 6 ] / 225
dh/dt = [ -(2.22222 × 6) ] / 225
dh/dt = [ -13.3333 ] / 225
dh/dt = -0.0593 cm/s
Therefore, the rate at which the height of the box is decreasing is -0.0593 cm/s
Solve the inequality graphically.
6^x < 3^x
a. X> 1
b. x>0
C. X<1
d. x<0
Answer:
D, X<0
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What is the surface area of the sphere below?
5
O A. 125r units2
B. 100% units2
C. 125% 3 units2
D. Cannot be determined
The surface area is B
Mrs. Cole gave a math quiz to her classes. Below is a box plot that represents the results of the quiz.
Answer:
Where is the box plot?
Step-by-step explanation:
You did not show the results of the quiz therefore I can not answer. Also there is no question content in the sentences so even if I did have a box plot I still would not be able to answer. Give us more information.
Help plz:)))I’ll mark u Brainliest
=============================================================
Explanation:
The formula we'll use to find the surface area is:
SA = 4*pi*r^2
In this case, the radius is r = 2.3 meters
SA = 4*pi*r^2
SA = 4*pi*(2.3)^2
SA = 66.47610054996
SA = 66.48 square m
You'll type the expression you see for step 2 into your calculator to get the result of step 3. The result is approximate. Let your calculator handle the decimal digits of pi as your teacher instructs. The last step is us rounding to two decimal places. The units for the surface area are in square meters, because we can effectively unwrap the outer surface (think of it like unwrapping a present) to lay it out flat.
helppppppppppp pleaseeeee (:
Answer:
I believe the answer would be 65
simplify 4^9/4^3
can someone help me with this?
Answer:
4096
Step-by-step explanation:
Need to know how you got it? Comment on this answer.
How do you write an equation of a circle?
Step-by-step explanation:
The equation of a circle is:
(x-h)² + (y-k)² = r² where the center is at (h,k) and r is the radius.
so if you need the equation of a circle centered at (-3,5) and a radius of 7 would be:
(x+3)² + (y-5) = 49
I need the answer fast pls
Answer:
I think D
Hope this helps!!
If a right circular cylinder and oblique cylinder both have a height of 19
inches and diameter of 10 inches, do they have the same volume? (Use
T = 3.14)
Answer:
Yes.
Step-by-step explanation:
The diameters are the same so the radii are the same also.
The volume of both is 3.14r^2h.
The radius r and height h is the same for both cylinders.
The volume = 3.14 * 5^2 * 19 = 1491.5 in^3.
David measures a rectangular piece of wood. The length is 8 feet and the width is 2 feet. What is the area, in square feet, of the piece of wood? A = lw
what is the scientific notation if 36000x10^-8?
Answer:
3.6 * 10^-4
Step-by-step explanation:
36000x10^-8
The number must be between 1 and 10
36000.
Move the decimal 4 places to the left, so add 4 to the exponent
3.6 * 10^(-8+4)
3.6 * 10^-4
Answer:
the scientific notation of
[tex] 36000×10^{-8}=36000/100000000=3.6×10^{4}/10^{-8}[/tex]
[tex]=3.6×10^{4-8}=3.6*10^{-4}[/tex]
If ß is the small angle is a 3-4-5 right triangle, then sin ß = ?
Answer:
sin β = sin(36.87) ≈ -0.73733168456
Step-by-step explanation:
The small angle in a 3-4-5 triangle is 36.87 and when you put that into a calculator you are left with roughly -0.73733168456.
What is a nativist ? Help please
Answer:
Nativism is the political policy of promoting the interests of native inhabitants against those of immigrants, including the support of immigration-restriction measures
Step-by-step explanation:
Hope this helps.
Please mark brainliest!
Would be very much appreciated!
Answer:
In philosophy and psychology, a nativist is a person who believes in an innate understanding of particular concepts. This includes innate knowledge and ideas which occur at birth and are not acquired through learning and experience.
In United States history, a nativist is a person who opposes immigration of any kind which is deemed "undesirable" and who advocates for the exclusive interests of native-born citizens, often from longtime American families. Nativists disliked Catholics as well as immigrants and minorities.
A famous nativist organisation of America is the Know-Nothing party of the 1840s.
Step-by-step explanation:
I hope at least one of these suits your purposes :)
The degree of the polynomial 10x^3 + 2x^m y - 4y is 3. What is the value of m?
A.) 1
B.) 2
C.) 3
D.) 4
Answer:
1
Step-by-step explanation:
x is 1 and y is 1 and the total is three so 1
What are 64 real square roots
Answer:
8
Step-by-step:
Find the calculator, look for the square root symbol and put 64 in there.
I really need help on this if someone knows the answer pls help
Answer:
14.75
Step-by-step explanation:
x = 1*1*0.5 = 0.5
y = 1.5*1.5 = 2.25
g = ((2.5+1.5)\2) * 2 = 4
t = 4*2 = 8
total = 0.5 +2.25 +4 +8 - 14.75
The graph shows the system of equations below.
2x-3y=-6
y= -1/3x=4
Which statement is supported by the graph?
The blue line represents the equation 2x-3y=-6 , and the solution to the system of equations is (–6, –2).
The blue line represents the equation 2x-3y=-6 , and the solution to the system of equations is ( –2, –6).
The red line represents the equation 2x-3y=-6 , and the solution to the system of equations is (2, –4).
The red line represents the equation 2x-3y=-6 , and the solution to the system of equations is (–4, 2).
We want to describe the system of equations by analyzing the graph. We will see that the correct option is:
"The blue line represents the equation 2x -3 y = -6, and the solution to the system of equations is (–6, –2)."
We know that the equations are:
y = (-1/3)*x - 4
2x - 3y = -6
Notice that the y-intercept of the first equation is -4, and the line that intercepts the y-axis at -4 is the red line. So the red line represents the equation y = (-1/3)*x - 4, while the blue line represents the other equation.
Also, remember that the solution of a system of equations is given by the point where the graphs of the equations intercept, here, we can see that the lines intercept at (-6, -2), so the solution of the system is (-6, -2)
Then the correct option is:
The blue line represents the equation 2x-3y=-6, and the solution to the system of equations is (–6, –2).
If you want to learn more, you can read:
https://brainly.com/question/9351049
Answer:
a:The blue line represents the equation 2x-3y=-6 , and the solution to the system of equations is (–6, –2).
Step-by-step explanation:
Principle: $ 250 Rate: 2.5% compounded Semiannually Time: 1.5 yr(s) *
Your answer
Answer:
A=259.43
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r=R/100
r=2.5/100
r=0.025 rate per year,
then solve the equation for A
A=P(1+r/n)
A=250.00(1+0.025/1)
A=250.00(1+0.025)
A=$259.43
Find x??...................
Answer:
x=8
Step-by-step explanation:
The sides are of equal length
x+2 = 2x-6
Subtract x from each side
x+2-x = 2x-6+x
2 = x-6
Add 6 to each side
2+6 = x-6+6
8 =x
Answer:
X=8
Step-by-step explanation:
x+2=2x-6
-x+2=-6
-x=-8
x=8
A) 6
B) 15
C) 20
D) 24
E) 30
Correct me if wrong :)
So what would be the answer?
Answer:
i
Step-by-step explanation:
Answer:
did you forget a picture?
Step-by-step explanation:
if you did, either add it in the comments, or make a new question