Using the binomial distribution, we find that:
a) There is a 0.648 = 64.8% probability that there will be at least two hurricanes from which the home will experience no damage before the second hurricane from which the home will experience damage.
b) There is a 0.1728 = 17.28% probability that the home will experience its second damage from the fourth hurricane, given that the home has not experienced two damages from the first two hurricanes.
c) The mode is of 7.5 hurricanes.
For each hurricane, there are only two possible outcomes. Either it causes damage, or it does not. The probability of the home experiencing damage from a hurricane is independent of any other hurricane, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
It gives the probability of exactly x successes on n trials, with p probability.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The mode of the number of trials needed for q successes is given by:
[tex]M = \frac{q}{p}}[/tex]
In this problem, there is a 0.4 probability of experiencing damage from a hurricane, thus [tex]p = 0.4[/tex].
Item a:
This is the probability of at most 1 damage in 3 hurricanes, which is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
With [tex]n = 3[/tex].
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{3,0}.(0.4)^{0}.(0.6)^{3} = 0.216[/tex]
[tex]P(X = 1) = C_{3,1}.(0.4)^{1}.(0.6)^{2} = 0.432[/tex]
Then
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.216 + 0.432 = 0.648[/tex]
0.648 = 64.8% probability that there will be at least two hurricanes from which the home will experience no damage before the second hurricane from which the home will experience damage.
Item b:
1 in the first three, with 0.432 probability.Damage in the fourth, with 0.4 probability.Then
[tex]0.432(0.4) = 0.1728[/tex]
0.1728 = 17.28% probability that the home will experience its second damage from the fourth hurricane, given that the home has not experienced two damages from the first two hurricanes.
Item c:
Damage from 3 hurricanes, thus q = 3.Then:
[tex]M = \frac{3}{0.4}} = 7.5[/tex]
The mode is of 7.5 hurricanes.
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what is the
answer would love to now
Answer:
D
Step-by-step explanation:
It's between C and D.
3x^2 - 7x^2 = - 4x^2
- 4x^2 + 5x - 28 is the answer so it is D.
thankyousm!! please help me
supsuppose you divide a bar diagram into 25 equal-size sections and shade 5 sections what percent is modeled in the diagram
5 shaded sections are 20% of 25 equal size sections.
Given that, you divide a bar diagram into 25 equal-size sections and shade 5 sections.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Now, 5/25 × 100
= 0.2 × 100
= 20%
Therefore, 5 shaded sections are 20% of 25 equal size sections.
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x2−5x+8 if x=3 help me
Commission A sales associate in a jewelry store earns $450 each week, plus a commission equal to 6% of her
sales. This week her goal is to earn at least $600. How much must the associate sell in order to reach her goal?
1. Write an expression to represent how much a sales associate earns each week. Remember to define your variable.
2. How much does she want to earn this week?
3. Should you use an equation or an inequality to compare the amount the sales associate earns and her goal?
Explain.
4. What inequality can you use to find how much the associate must sell in order to reach her goal?
5.
Solve the inequality. Show your work.
GCF of 27 and 45 and how to solve with either Prime factorization or the step diagram or the tree method help now pls
Answer:
( 3 x 3 x 3 ) and ( 3 x 3 x 5 ) The GCF of 27 and 45 is 3 x 3 = 9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
Prime factorization of 27 and 45 is (3 × 3 × 3) and (3 × 3 × 5) respectively. As visible, 27 and 45 have common prime factors. So, the GCF of 27 and 45 is 3 × 3 = 9.
Please help me solve this problem
Answer:
i am sorry but plz help me
Helen wants to paint a rectangle with an area of
35 square feet on her wall. If the height of the rectangle is 3 feet,
what is the width of the rectangle? (Remember, area = length x width.)
Write an equation and solve.
At what % does a 20,000 dollar loan taken out for 10 years have a monthly payment of 202.49?
Answer:
Step-by-step explanation:
If 96 of the 224 participants in club activities are residents, what is the ratio of nonresidents to residents who participate in club activities? Write the ratio in lowest terms as a fraction or with a colon.
Pls help a girl out
You have 100 coins worth $6.95. All of the coins are nickels and dimes. How many nickels and how many dimes do you have? Write a system that represents the situation. Estimate the solution using a graphing calculator.
Answer:
61 Nickels and 39 Dimes
Step-by-step explanation:
you have $3 and 5 cents in nickels and 3$ and 90 cents in Dimes
it all equals 100 coins all together
The number of dimes is 39 dimes
The number of nickels 61 nickels
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of dimes be = x
Let the number of nickels be = y
So , total number of coins = 100
x + y = 100 be equation (1)
And , the total amount = $ 6.95
The cost of one dime = $ 0.10
The cost of one nickel = $ 0.05
So , total cost = 0.10x + 0.05y = 6.95 be equation (2)
Now , on simplifying equation (1) and equation (2) , we get
x + y = 100
10x + 5y = 695 be equation (3)
Divide equation (3) by 5 , we get
2x + y = 139 be equation (4)
Now , Subtracting equation (1) from equation (4) , we get
x = 39
Therefore , the number of dimes is 39 dimes
Substituting the value of x in equation (1) , we get
x + y = 100
y + 39 = 100
Subtract 39 on both sides of the equation , we get
y = 61
Therefore , the number of nickels is 61 nickels
Hence ,
The number of dimes is 39 dimes
The number of nickels 61 nickels
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Jason, murray, and dana went fishing. Dana caught a red snapper. Jason caught a tuna with a weight 3 times as great as the weight of the red snapper. Murray caught a sailfish with a weight 12 times as great as the weight of the red snapper. If the combined weight of the three fish was 208 pounds, how much did the tuna weigh?
Answer:
Tuna = 39 pounds
Red Snapper 13 pounds
Sailfish = 156 pounds
Step-by-step explanation:
T = 3x
RS = x
S = 12x
3x + x + 12x = 208
16x = 208
x = 208/16
x = 13
Tuna = 3(13)=39
Red Snapper = 13
Sailfish = (12)(13) = 156
Help help helpppo plz plz plz I forgot how to do this it is for my Lil bro so plz help meh
Answer:
6 is greater than -7.
-7 has the greater absolute value.
Step-by-step explanation:
Any number that is not negative is going to be greater than any number that is negative. So 6 is greater than -7. But with absolute value it's a little bit different. You can just think about it in terms of distance. Whichever number is further from zero is going to have the greater absolute value whether it's negative or not.
A bag contains 3 black marbles and 5 white marbles. Paul picks a marble at random from the bag and replaces it back in the bag. He mixes the marbles in the bag and then picks another marble at random from the bag. Calculate the probability that Paul picks:
A. Two black marbles
B. Black marble in his second draw
Answer:
id go with B.
you'd get a mix because its bound to happen.
7
Compare the fractions
3
64
8
A)
<
B)
C)
Answer:
74/8
Step-by-step explanation:
Answer:
LCM of 64 and 8 is 64
Step-by-step explanation:
Which expression represents, five times the quotient of two numbers?
A. 5+rt
B. 5%r/t
C. r/5t
D. 5(r/t)
PLZ HELP
Answer:
Five times the quotient of two numbers
5*( r/t)
Step-by-step explanation:
5 times the qoutient of 2 numbers is 5+rt
*EASY* I WILL GIVE BRAINLIST TO THE FIRST RIGHT ANWSER
Ruby is visiting San Francisco. From her hotel she walks 2 blocks east an 4 blocks north to a coffee shop. Then she walks 4 blocks west and 3 blocks north to a museum. Where is the museum in relation to her hotel?
here's the format for the answer if it helps : The museum is _ blocks _(West/East) and _ blocks _(South/North) of her hotel.
Answer:
Step-by-step explanation:
2. Carlie graphed a line with a negative slope.
What must be true about the graph?
a. The graph decreases from left to right.
b. The graph increases from left to right.
c. The graph must cross (0,0).
d. The graph must be contained in Quadrants
III and IV.
Answer:
A. The graph decreases from left to right
how is five hundred two thousand,seven and four hundredths written in expanded nataion?
Answer:
502,007.004
Step-by-step explanation:
because I smart middle schooler
Answer:
502,007.004
Step-by-step explanation:
because I smart middle schooler
Alyssa has 9 markers and 24 pencils what is the most numbers of kits she can make of each kit has the same number of items?
These triangles are scaled copies of each other.
For each pair of triangles listed, the area of the second triangle is how many times larger than the area of the first?
a. Triangle G and Triangle F Response area
b. Triangle G and Triangle B Response area
c. Triangle B and Triangle F Response area
d. Triangle F and Triangle H Response area
e. Triangle G and Triangle H Response area
f. Triangle H and Triangle B Response area
Answer:
a. 4
b. 1/4
c. 16
d. 1/9
e. 4/9
f. 9/16
Step-by-step explanation:
The ratio of the areas is the square of the ratio of the lengths of the sides.
a. Triangles G and F
Select a side in triangle G and the corresponding side in triangle F:
side in F: 10
corresponding side in G: 5
ratio of lengths of F to G = 10/5 = 2
ratio of areas of G to F: (2)^2 = 4
b. Triangles G and B
Select a side in triangle G and the corresponding side in triangle B:
side in G: 5
corresponding side in B: 5/2
ratio of lengths of B to G = (5/2)/5 = 1/2
ratio of areas of B to G: (1/2)^2 = 1/4
c. Triangles B and F
Select a side in triangle B and the corresponding side in triangle F:
side in B: 5/2
corresponding side in F: 10
ratio of lengths of F to B = 10/(5/2) = 4
ratio of areas of F to B: (4)^2 = 16
Do the same for the other 3 pairs of triangles.
The answers are:
d. 1/9
e. 4/9
f. 9/16
The ratio of the areas is the square of the ratio of the lengths of the sides.
Let's find the ratio of areas one by one:
A. Triangles G and F
Select a side in triangle G and the corresponding side in triangle F:
Side in F= 10
Corresponding side in G= 5
The ratio of lengths of F to G = 10/5 = 2
The ratio of areas of G to F= (2)^2 = 4
B. Triangles G and B
Select a side in triangle G and the corresponding side in triangle B:
Side in G= 5
Corresponding side in B= 5/2
The ratio of lengths of B to G = (5/2)/5 = 1/2
The ratio of areas of B to G: (1/2)^2 = 1/4
C. Triangles B and F
Select a side in triangle B and the corresponding side in triangle F:
Side in B= 5/2
Corresponding side in F= 10
The ratio of lengths of F to B = 10/(5/2) = 4
The ratio of areas of F to B: (4)^2 = 16
D. Triangles F and H
Select a side in triangle F and the corresponding side in triangle H:
Side in F= 10
Corresponding side in H= 10/3
The ratio of lengths of H to F = (10/3)/10 = 1/3
The ratio of areas of H to F: (1/3)^2 = 1/9
E. Triangles G and H
Select a side in triangle G and the corresponding side in triangle H:
Side in G= 5
Corresponding side in H=10/3
The ratio of lengths of H to G = (10/3)/5 = 2/3
The ratio of areas of H to G: (2/3)^2 = 4/9
F. Triangles H and B
Select a side in triangle H and the corresponding side in triangle B:
Side in H=10/3
Corresponding side in B= 5/2
The ratio of lengths of B to H = (5/2)/(10/3) = 3/4
The ratio of areas of H to G: (3/4)^2 = 9/16
The final answers are:
a. 4
b. 1/4
c. 16
d. 1/9
e. 4/9
f. 9/16
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An online math game gives one point for each correct answer and -1/2 point for each incorrect
answer.
Alice gets 6 correct answers and 2 incorrect answers.
Jasper gets 6 correct answers and 4 incorrect answers.
Alice has
---- more point(s) that Jasper.
1
two
three
four
one
Which expression is equivalent to √10/4√8?
Answer:
A
Step-by-step explanation:
A
2/7 + 4/5 mixed forms
Answer:
38/35 or 1 3/35Step-by-step explanation:
2/7 + 4/5 mixed forms
2/7 + 4/5 =
38/35 or 1 3/35
Answer:
38/35
Step-by-step explanation:
1. convert to like fractions
2/7-> 10/35
4/5-> 28/35
2. add fractions
10/35 + 28/35 = 38/35
which of the parent functions are monomial functions, which are power functions?
I WILL MARK BRAINLIEST!!!!
Answer: D
Step-by-step explanation:
Shane wants to plant 28 marigold plants and 36 rose plants in his garden. What is the greatest number of rows possible if each row has the same number of marigold plants and the same number of rose plants.
Answer:
HCF=2*2=4
Step-by-step explanation:
Given : Shane wants to plant 28 marigold plants and 36 rose plants in his garden
To Find : the greatest number of rows possible each row has the same
number of marigold plants and the same number of rose plants.
Solution:
marigold plants = 28
rose plants = 36
To find the greatest number of rows possible if each row has the same
number of marigold plants and the same number of rose plants.
we need to find HCF of 28 and 36
28 = 2 x 2 x 7
36 = 2 x 2 x 3 x 3
HCF = 2 x 2 = 4
greatest number of rows possible is 4
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Find m angleA
A. 10
B. 20
C. 16
D. 14
The polynomial of degree 4, P ( x ) , has a root of multiplicity 2 at x = 1 and roots of multiplicity 1 at x = 0 and x = − 2 . It goes through the point ( 5 , 336 ) . Find a formula for P ( x ) . P ( x ) =___
Show your work
We want to find a polynomial given that we know its roots and a point on the graph.
We will find the polynomial:
p(x) = (183/280)*(x - 1)*(x - 1)*(x + 2)*x
We know that for a polynomial with roots {x₁, x₂, ..., xₙ} and a leading coefficient a, we can write the polynomial equation as:
p(x) = a*(x - x₁)*(x - x₂)...*(x - xₙ)
Here we know that the roots are:
x = 1 (two times)x = 0x = -2Then the roots are: {1, 1, 0, -2}
We can write the polynomial as:
p(x) = a*(x - 1)*(x - 1)(x - 0)*(x - (-2))
p(x) = a*(x - 1)*(x - 1)*(x + 2)*x
We also know that this polynomial goes through the point (5, 336).
This means that:
p(5) = 336
Then we can solve:
336 = a*(5 - 1)*(5 - 1)*(5 + 2)*5
336 = a*(4)*(4)*(7)*5
336 = a*560
366/560 = a = 183/280
Then the polynomial is:
p(x) = (183/280)*(x - 1)*(x - 1)*(x + 2)*x
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Plz answer
only do 9 question , step by step
Plz help , I will mark as brainilist
Answer:
[tex]2x + 3x = 180 \\ because \: they \: are \: o n \: one \: line \\ 5x = 180 \\ x = 180 \div 5 = 36[/tex]
Dan şi Andrei au inventat Jocul rotunjirii" și au hotărât ca fiecare să scrie cinci numere care se rotunjesc la zeci de mii prin 70 000. Copiii au stabilit însă și următoarele reguli: a. numerele scrise de Dan să aibă pe locul zecilor de mii o cifră mai mică decât 7; b. numerele scrise de Andrei să aibă pe locul zecilor de mii cifra 7; Scrie și tu câte şase numere care se rotunjesc la 70 000 și respectă regulile stabilite de băieţi.
I would actually need you to translate this into english I I would be able to answer for you :)