Answer:
a) 0.172 probability that, in a year, there will be 4 hurricanes.
b) The expected number of years with 4 hurricanes is 7.7.
c) 7 years is close to the expected value of 7.7, which means that the Poisson distribution works well here.
Step-by-step explanation:
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.
The mean number of hurricanes in a certain area is 5.1 per year.
This means that [tex]\mu = 5.1[/tex]
a. Find the probability that, in a year, there will be 4 hurricanes.
This is P(X = 4).
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 4) = \frac{e^{-5.1}*(5.1)^{4}}{(4)!} = 0.172[/tex]
0.172 probability that, in a year, there will be 4 hurricanes.
b. In a 45-year period, how many years are expected to have 4 hurricanes?
Each year, 0.172 probability of 4 hurricanes. So for 45 years, the mean is 45*0.172 = 7.7.
The expected number of years with 4 hurricanes is 7.7.
c. How does the result from part (b) compare to a recent period of 45 years in which 7 years had 4 hurricanes? Does the Poisson distribution work well here?
7 years is close to the expected value of 7.7, which means that the Poisson distribution works well here.
P(-7, 1) ➡️ P' ( __, __)
Q(-7, 6) ➡️ Q' ( __, __)
R(-10, -3) ➡️ R' ( __, __)
9514 1404 393
Answer:
P'(1, -7)
Q'(6, -7)
R'(-3, -10)
Step-by-step explanation:
The relevant transformation is ...
(x, y) ⇒ (y, x) . . . . . . reflection over y=x
Simply interchange the x- and y-coordinates.
P'(1, -7)
Q'(6, -7)
R'(-3, -10)
Divide and check the quotient and remainder of 6971÷47
Answer: 148.32 (Rounded) 148.3191489 (Unrounded)
Step-by-step explanation:
Answer:
hope it is helpful
plz mrk it as brainliest
someone help please! I’m not sure but I got 1/(-32)^-1.4 but I feel like it’s incorrect. With IXL my score will go down if it’s wrong so please make sure it’s correct
Answer:
1/(32^1.4)
Step-by-step explanation:
1/(32^1.4)
2. Write the coefficient of 'a' in each of the following termi) '5ax' (ii) '-4ab' (iii) '38abc' iv) '-24 ab^(2)c'
Answer:
The coefficients are:
[tex](a)\ 5x[/tex]
[tex](b)\ -4b[/tex]
[tex](c)\ 38bc[/tex]
[tex](d)\ -24b^2c[/tex]
Step-by-step explanation:
Required
The coefficient of a
To get the coefficient, we simply remove a. The remaining terms is the required coefficient
Solving (a):
[tex]Expression = 5ax[/tex]
Remove a
5x:
Hence, the coefficient is 5x
Solving (b):
[tex]Expression = -4ab[/tex]
Remove a
-4b
Hence, the coefficient is -4b
Solving (c):
[tex]Expression = 38abc[/tex]
Remove a
38bc
Hence, the coefficient is 38bc
Solving (d):
[tex]Expression=-24ab^2c[/tex]
Remove a
[tex]-24b^2c[/tex]
Hence, the coefficient is [tex]-24b^2c[/tex]
Johnny uses a mirror placed on level ground to measure the height of a building. Johnny's eyes are 6 feet above the ground and he stands 4 feet away from the mirror. From that distance, Johnny is able to see the top of the building in the mirror as shown in the diagram below.
If the mirror is 45 feet away from the building’s base, how tall is the building
please show step by step
Answer:
Step-by-step explanation:
θ = angle of incidence = angle of reflection
You have two similar triangles.
tanθ = 6/4 = h/45
h = 45×6/4 = 67.5 ft
The required height of the building is 67.5 feet.
Johnny uses a mirror placed on level ground to measure the height of a building. Johnny's eyes are 6 feet above the ground and he stands 4 feet away from the mirror. If the mirror is 45 feet away from the building’s base, how tall the building is determined.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
Since the two triangles are similar,
Let the height of the building is x.
The ratio of height and distance from the mirror Jhonny = height and distance of mirror from the building.
6/4=x/45
x = 11.25*6
x = 67.5
Thus, the required height of the building is 67.5 feet.
Learn more about triangles here:
https://brainly.com/question/2773823
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3.1 Write the following in scientific notation
a) 217 000 000 b) 0,000 253
Answer:
2.17 x 10^8
0.253 x 10^-4 if number is 0.000253 or 2.53 x 10^2 if number is 253
Step-by-step explanation:
Someone plss help I tried and I still can't get it plss help me
Answer:
-18 is an integer but not a whole number
Step-by-step explanation:
a whole number is only positive numbers and 0 itself while an integer is basically any number that isn't a decimal or a fraction. -18 is an integer, but it can't be a whole number because it is a negative number.
I need help thank you
Answer:
3 1/2
Step-by-step explanation:
That is the largest value.
Answer:
3 1/2 ounces
Step-by-step explanation:
That is the biggest number on the graph.
cool/3d18c3ab-98a2-4989-9e70-1d62f58e3bcf/Showitem?returnView=&studentItemid=0&backPath Question 3 of 17 A room has dimensions 10'6" X 14'. What is the perimeter of the room?
Answer:
Perimeter = 2*Length + 2*Width
= 2(10’6”) + 2(14)
= 21’ + 28’
= 49’
Step-by-step explanation:
A store owner wants to prepare 100 lb of a candy mix that she will sell for $1.36 per lb. She mixes 20 lb of jelly beans that cost 20 cents per lb with sugar candies. How much does 1 lb of sugar candies cost.
Answer:
Fraction form:33/20 money:$1.65
Step-by-step explanation:
$0.2 + $x = %1.36
20 IB + 80 IB = 100 IB
Equation: 0.2*20+x*80=1.36*100
there fore the answer is 33/20
Answer:
33/20
Step-by-step explanation:
What is 1.5( 3a - 12b + 10) equal to?
Need this answer please
Answer:
line s
Step-by-step explanation:
Answer:
your answer will be line r
Step-by-step explanation:
hope it help
what is eight times a number equals 4 times the 9?
Answer:
x=4.5
Step-by-step explanation:
8*x = 4*9
8x = 36
x = 4.5
Answer:
9/2
Step-by-step explanation:
Let the unknown number = n
Therefore, we can decode your question in the following manner:
8 x n = 4 x 9
Recognize that 4 x 9 = 36
So, 8 x n = 36
Lets divide 8 in both sides
n = 36/8 = 9/2
Therefore, n = 9/2
What is the degree of the monomial? Give only a numerical answer.
-6x^3y^3w
Answer:
1
Step-by-step explanation:
If fg(x) = 2x + 1, and f(x) = x + 2, find g(5) and g-'f'(1).
Answer:
g(5) - f(1) = 8
g(5) = 11
Step-by-step explanation:
Given:
g(x) = 2x + 1
f(x) = x + 2
Find:
g(5)
g(5) - f(1)
Computation:
g(x) = 2x + 1
g(5) = 2(5) + 1
g(5) = 11
f(x) = x + 2
f(1) = 1 + 2
f(1) = 3
g(5) - f(1) =11 - 3
g(5) - f(1) = 8
PLEASE SOLVE FOR BRAINLIST 5 TIMES AND 10 POINTS
how do you write the equation of a line (in slope intercept form) with three given points?
With even just two points, you can find the equation of a line in slope-intercept form.
Slope-intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept
1) Solve for the slope ([tex]m[/tex])
The equation to solve for the slope is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] when the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. Plug the coordinates of these points into the equation and solve for [tex]m[/tex].
Then, plug [tex]m[/tex] into [tex]y=mx+b[/tex].
1) Solve for the y-intercept ([tex]b[/tex])
Then, take any of the given points and plug it into [tex]y=mx+b[/tex] along with the slope. Isolate [tex]b[/tex] to get the y-intercept. Then, plug both m and b back into [tex]y=mx+b[/tex] to get your final equation.
I hope this helps!
What is the value of x?And the perimeter and area?
Answer:
Step-by-step explanation:
12
The expression a + b + 3c is a ____ *
Monomial
Binomial
Trinomial
I need help with part b and c, I did a already
Answer:
a) V = 35.1 in.^3
b) V = 288 pi in.^3
c) h = 2.7 in.
Step-by-step explanation:
a)
radius of base = 2 in.
height = 8 in.
volume of cone = (1/3)(pi)(r^2)h
V = (1/3)(pi)(2 in.)^2(8 in.)
V = 35.1 in.^3
You are correct.
b)
You must leave the answer in terms of pi, so do not use 3.14 or another approximation for pi.
radius of base = 6 in.
height = 24 in.
volume of cylinder = (pi)(r^2)h
V = (1/3)(pi)(6 in.)^2(24 in.)
V = 288 pi in.^3
c)
volume = 288 pi in.^3
radius = 18 in.
288 pi in.^3 = (1/3)(pi)(18 in)^2 h
288 in. = (1/3)(324)h
288 in. = 108h
h = 2.666 in.
h = 2.7 in.
Which expression is equivalent to
Xy2/9
Answer:
x(^9 radicand y^2)
Last option
Morgan is going to invest $8,200 and leave it in an account for 10 years. Assuming
the interest is compounded monthly, what interest rate, to the nearest hundredth of a
percent, would be required in order for Morgan to end up with $16,500?
Answer: r ≈ 7.01%
Step-by-step explanation:
Answer:
4.9%
Step-by-step explanation:
I DONT WANT HOW TO DO IT JUST THE ANSWER
lin run 5 laps around a track in 10 minutes. How many minutes per lap is that
A tablecloth has a length of
9/8 meters and a breadth of 5/8 meters. What is the area of the tablecloth?
Answer:
45/64 m²
Step-by-step explanation:
We are given the length and width of the tablecloth (breath = width).
Length = 9/8 mWidth = 5/8 mWe know that the formula for the area of a rectangle is A = L × W.
Assuming the tablecloth is in the shape of a rectangle (since the problem gives us length and width), we can substitute the length and width into the formula.
A = 9/8 × 5/8 A = 45/64The area of the tablecloth is 45/64 m².
the area of a rectangle knitted blanket is 9x^2-6x-8. What are the possible dimensions of the blanket? Use factoring
Answer:
3x+2 and 3x-4
Step-by-step explanation:
We are given the quadratic equation 9x²-6x-8.
first, multiply 9 and -8 together (factors a*c, which equals to the sum that is b)
the result is -72
now think:
which two numbers add up to -6, but when multiplied, equal -72?
Those two numbers are -12 and 6
we can expand the polynomial:
9x²-12x+6x-8
factor by grouping:
3x(3x-4)+2(3x-4)
(3x-4)(3x+2)
so, the dimensions of the blanket are (3x-4) and (3x+2)
Hope this helps :)
[tex] \frac{4x + 9}{ \frac{7}{3} } = \frac{3x}{0.5} [/tex]
Help me solve for x pls TvT.
Answer:
Step-by-step explanation:
(4x+9)/(7/3)=(3x)/(1/2)
(12x+27)/7=6x
12x+27=42x
-30x+27=0
-30x=-27
x=27/30
x=9/10
Answer:
I got x=0.
Step-by-step explanation:
Tell me if I am wrong.
I need help please help me out I dont understand
Answer:
24x² - 46x + 7
Step-by-step explanation:
Area of the shaded region = area of the larger square - area of the smaller square
✔️Area of the larger square = s²
= (5x - 4)²
= (5x - 4)(5x - 4)
= 5x(5x - 4) -4(5x - 4)
= 25x² - 20x - 20x + 16
= 25x² - 40x + 16
✔️Area of smaller square = s²
= (x + 3)² = (x + 3)(x + 3)
= x(x + 3) +3(x + 3)
= x² + 3x + 3x + 9
= x² + 6x + 9
✔️Area of the shaded region = (25x² - 40x + 16) - (x² + 6x + 9)
= 25x² - 40x + 16 - x² - 6x - 9 (distributive property)
Ad like terms
= 24x² - 46x + 7
What is the correct name for a 9-sided polygon?
decagon
octagon
nonagon
ninagon
Answer:
nonagon
Step-by-step explanation:
The correct name for a 9-sided polygon is nonagon.
Answer:
option c. nonagon
..............
5. Indra completed 80% of her test
questions. If there were 120 questions,
how many questions she
a. completed?
b. did not complete?
Answer:
a) 0.8(120) = 96 completed
b) 120 - 96 = 24 uncompleted