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.
A similar problem is given at https://brainly.com/question/24923631
pls answer me ill give points and brainlest
Answer:
Sorry is there any more information i will then change answer
Step-by-step explanation:
Rewrite 19/8 as a mixed number.
Answer: 2 3/8
I got an A
Answer:
2 + 3/8
Step-by-step explanation:
Therefore we get 19 / 8 = 2 + 3/8 , which is written as 2 3/8 , called a mixed number. To convert 19/8 you do division; 8 into 19 goes 2 times with 3 left over; so 2 3/8.
In the diagram shown, C is the midpoint of BD. What is the
length of AC?
Set up an equation based on the given information, solve
for x, and plug answer back in to answer the question
Answer:
AC = 20
Step-by-step explanation:
C is the midpoint of BD.
That means that BC = CD
BC = x + 4
CD = 3x - 10
x + 4 = 3x - 10 Subtract x from both sides
4 = 3x - x - 10 Combine
4 = 2x - 10 Add 10 to both sides
4 + 10 = 2x - 10 + 10 Combine
14 = 2x Divide by 2
14/2 = 2x/2 Combine
7 = x
AC = AB + BC
AC = 2x - 5 + x + 4
AC = 3x - 1
AC = 3*7 - 1
AC = 21 - 1
AC = 20
What is the slope of the line?
Ay
4
m =
2
-
-
x
-4
-2
2.
4
-2
-4
Answer:
1/4
Step-by-step explanation:
1. To find the slope, you can use the formula [tex]\frac{rise}{run}[/tex] to find it!
2. Rise means how many units you go up and down from point to point, and run means how far you go left or right from point to point.
3. Given the statement above, the rise would be 1, and the run would be 4.
4. Now, since slope is (rise)/(run), the slope is 1/4 because one divided by four is equal to one fourth.
The length of each side of a square is
represented by 2x - 1. Represent the
perimeter of the square.
Answer:
Perimeter = 4(2x - 1)
Step-by-step explanation:
Since the Perimeter of a square is 4L, it would be,
(2x - 1) + (2x - 1) + (2x - 1) + (2x - 1) which could also be shortened to 4(2x - 1)
Answer:
P = 4(2x - 1)
Step-by-step explanation:
Given that the side of each square is 2x - 1:
The formula for finding the perimeter of a square is:
P = 4s
where s represents the side of a square.
Substitute the given value for s into the perimeter formula:
s = 2x - 1
P = 4(2x - 1)
Therefore, the perimeter of the square is 4(2x - 1).
Each big square below represents one whole. what percent is represented by the shaded area?
Answer:
52 %
Step-by-step explanation:
Total number of squares = 100
Number of shaded squares = 52
% of shaded squares
= ( 52 / 100 ) x 100
= ( 52 x 100 ) / 100
= 5200 / 100
= 52 %
an online article suggested for each additional person who took up regular running for exercise the number of cigarette smoke daily woo decrease by 0.178 if we assume that 45 minute cigarettes will be smoked per day if nobody ran what is the equation of regression line for predicting number cigarette smoke per day in the number of people who regularly run for exercise
The linear function that models the situation is given by:
[tex]y = 45 - 0.178x[/tex]
The format of a linear function is:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change.b is the y-intercept, which is the initial value.If nobody ran, 45 cigarettes would be smoked, thus the initial value is of [tex]b = 45[/tex].For each additional person that exercises, the amount decays by 0.178, thus the slope is [tex]m = 0.178[/tex].The equation that models this situation is:
[tex]y = 45 - 0.178x[/tex]
A similar problem is given at https://brainly.com/question/16302622
Solve:-4(-6x - 3) =12
Answer:
Step-by-step explanat ion:
<=>2 4x+12 = 12
<=>24 x = 0
<=>x =0
James uses 1 1/2 cups of milk and 2 1/4 cups of flour for his favorite cookie recipe. This makes 60 cookies. How much milk and flour would he need to make 40 cookies?
Answer:
to get you answer you would have to add 1 1/2 and 2 1/4, then your equation would be 60 ÷ 3 3/4 , then whatever your total is, multiply that by 40 and that would be your answer
The amount of milk and flour (x) that he needs to make 40 cookies will be 5/2 cups.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
James uses 1 1/2 cups of milk and 2 1/4 cups of flour for his favorite cookie recipe. This makes 60 cookies.
The amount of milk and flour will be
⇒ 1 1/2 + 2 1/4
⇒ 3/2 + 9/4
⇒ 15/4
Then the amount of milk and flour (x) that he needs to make 40 cookies will be
x / (15/4) = 40 / 60
x = 5/2 cups
The amount of milk and flour (x) that he needs to make 40 cookies will be 5/2 cups.
More about the Algebra link is given below.
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Worth 15 points please help will give brainliest to correct answer
A Scientist wants to test the effect of water temperature on the success of developing frog embryos. The scientist monitors developing
embryos in different water temperatures and counts the number of embryos that mature into tadpoles.
Which variable is the independent variable?
A. Number of frog embryos
B. Species of frog
C. Number of tadpoles
D. Water temperature
Answer:
D. Water Temperature
Step-by-step explanation:
A scientist wants to test the effect of water temperature on the success of developing frog embryos. The scientist monitors developing embryos in different water temperatures and counts the number of embryos that mature into tadpoles.
The water temperature is the independent variable because that is what the scientist is testing / changing.
Hopefully this helps!
Brainliest please?
Using variable concepts, it is found that the independent variable is given by:
D. Water temperature
What is the relation between a function and the dependent and independent variables?A function has the following format: y = f(x).
In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.
That is, the input of the function is the independent variable and the output is the dependent variable.
In this problem, the input is the water temperature, hence option D is correct.
More can be learned about dependent and independent variables are https://brainly.com/question/1429012
70 of 38.20 is what
Have to write at least 20 words sooo
Determine the intercepts of the line.
Do not round your answers.
y=-2x-21y=−2x−21
Answer:
• For y-intercept [ x = 0 ]
[tex]{ \rm{y = - 2x - 21}} \\ \\ { \rm{y = ( - 2 \times 0) - 21}} \\ \\ { \rm{y = - 21}} \\ \\ { \boxed{ \rm{ \: y - intercept : \: (0, \: - 21) \: }}}[/tex]
• For x-intercept [ y = 0 ]
[tex]{ \rm{y = - 2x - 21}} \\ \\ { \rm{0 = - 2x - 21}} \\ \\ { \rm{2x = - 21}} \\ \\ { \rm{x = - 10.5}} \\ \\ { \boxed{ \rm{x -intercept : \: ( - 10.5, \: 0) \: }}}[/tex]
Answer:
I hope you got it right!! :)
Step-by-step explanation:
Need help on question 4
Answer:
I cant see the question v well
Step-by-step explanation:
what is the answer to
5x=40
Answer:
X has to be 8, so 5x8=40
Step-by-step explanation:
Find the Mean, Median, Mode & Range. If possible, round to the nearest tenth. 3, 8, 7, 2, 4, 8, 3, 4
Answer:
Mean- 4.9
Median- 4
Mode- 3,4,8
Range- 6
Step-by-step explanation:
The mean of a sequence is the average amount. This is equal to all of the terms' sum divided by the number of terms. So, to find the mean add 2+3+3+4+4+7+8+8, which equals 39. Then, divide by 8 because that is the number of terms. Therefore, the mean is 4.9.
The median is the number in the middle of the sequence. To find the median order the sequence from least to greatest and find the middlemost number. In this case, that is 4.
The mode is the number that appears most often. In this sequence, 3, 4, and 8 all appear twice.
The range is the difference between the minimum and maximum. So, subtract 2 from 8 to get 6.
Find an angle between 0 and 2 that is coterminal with the given angle.
Answer:
40degres
Step-by-step explanation:
-5 (-4p-3)>-105
can i get some help on that?
Answer:
p>-6
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
20p+15>−105
Step 2: Subtract 15 from both sides.
20p+15−15>−105−15
20p>−120
Step 3: Divide both sides by 20.
20p/20 > -120/20
p>-6
Answer:
p > -6
Step-by-step explanation:
-5(-4p-3) > -105
First, multiply out the left side to get:
20p+15 > -105
Then take fifteen away from both sides to get:
20p > -120
Then divide both sides by twenty to get:
p > -6
3) MS. Thomton spends $1.44 on 6 ounces of Mike and lkes. How much does he spend for pound?
(16 oz = 1 lb).
Answer:
He spent $3.84 for a pound of Mike and Ikes.
Step-by-step explanation:
First thing to do is divide 1.44 by 6 to get the amount of $ 1 ounce of Mike and Ikes cost. 1.44/6=0.24
Then multiply 0.24 by 16(amount of ounces in a pound) to get the amount of $ spent on 1 pound of Mike and Ikes.
0.24*16=$3.84
help me with this pls
Answer:
is that math????????????????
Solve the inequality.(Show all your work)
z+6>3 or 2z<-12
z+6>3 minus 6 from both sides
z>-3
2z<-12 divide both sides by 2
z<-6
Then substitute the z values into one inequality
-3<z<-6
Pls help I’ll brainlest
Answer:
PLS GIVE BRAINLIEST
Step-by-step explanation:
[tex]50 + 7.50x[/tex]
1. make an equation where x represents hours
[tex]50 + 7.50(5)[/tex]
2. substitute 5 for x
[tex]50 + 37.5[/tex]
3. multiply 7.50 by 5
[tex]87.5[/tex]
4. add 50 and 37.5 to get 87.5
how much of the circle is shaded 1/3 3/7
Answer:
876
Step-by-step explanation:
2 3 - 3 / 23- sa
find the difference -4 -5
Answer:
-9
Step-by-step explanation:
Think about the Keep and change rule, since this is negative, the more negative numbers there are the more it will go deeper. -4 - 5 is -9 because just create a number line and place -4 one it, then jump backwards 5 times.
5. The box plot summarizes the test scores for 100 students: u 55 60 65 70 75 80 85 90 95 100 Which term best describes the shape of the distribution? a. bell-shaped C. skewed b. uniform d. symmetric
The shape of the distribution describes that distribution as skewed distribution. Option C is correct.
Given that,
The box plot summarizes the test scores for 100 students: u 55 60 65 70 75 80 85 90 95 100 Which term best describes the shape of the distribution is to be determined.
The box plot shape is used to indicate if a statistical particular set is either normally distributed or skewed.
Here,
There is a property of the box plot i.e. When the median is in the center of the box, and the whiskers are about the same on both flanks of the box, then the distribution is symmetric. when the median is anywhere to the box except the center, and if the whisker is more concise on the left or right end of the box, then the distribution is skewed.
Thus, the shape of the distribution describes that distribution as skewed distribution. Option C is correct.
Learn more about box plots here:
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ok, got some year 12 maths.
whats 7+3
Answer:
.............It should be 10 :)
Please explain this step by step.
5+4(n+9)=-3
Answer:
n = -11
Step-by-step explanation:
5 + 4(n + 9) = -3,
5 + 4n + 36 = -3,
41 + 4n = -3,
4n = -44,
n = -11
You want to buy a $35,000 car. The company is offering a 3% interest rate for 36 months (3 years). What will your monthly payments be?
[tex]\bigstar\boxed{\large\bf\purple{\leadsto \$3150}}[/tex]
__________________________________________
[tex]\large\sf{\underline{Given:}}[/tex]
➠ Principal = $ 35000➠ Rate of interest = 3%➠ Time = 3 yrs (36 months)[tex]\large\sf{\underline{Therefore:}}[/tex]
[tex]\sf{Simple\: interest = \left(\dfrac{P\times R\times T}{100}\right)}[/tex]
[tex]\sf{\longrightarrow \left(\dfrac{35000\times 3\times 3}{100}\right)}[/tex]
[tex]\sf{\longrightarrow \cancel{\dfrac{315000}{100}}}[/tex]
[tex]\sf{\longrightarrow 3150}[/tex]
[tex]\large\sf{\underline{Your\: monthly\: payments\:will\:be\:\$3150}}[/tex]
Answer:
Monthly Payment will be $3150
Step-by-step explanation:
Given :-
Principal :- $35000Interest rate :- 3%Time period :- 3 yearsTo find :-
Monthly PaymentSolution :-
Simple Interest :- P × R × T / 100
putting the known values ,
Simple Interest :- 35000×3×3/100
Therefore, Monthly Payment :- $3150
What is the area of a circle whose circumference is 16 pi inches?
Answer:
=100.53
Step-by-step explanation:
Adam’s credit card calculates finance charges using the adjusted balance method and a 30-day billing cycle. The table below shows his use of that credit card over three months.
Date
Amount ($)
Transaction
4/1
626.45
Beginning balance
4/10
37.41
Purchase
4/12
44.50
Purchase
5/3
65.50
Payment
5/16
24.89
Purchase
5/20
104.77
Payment
6/6
23.60
Payment
6/10
15.00
Purchase
6/14
51.85
Purchase
If Adam’s credit card has an APR of 14.63%, what is Adam’s balance at the end of June?
a.
$629.42
b.
$629.66
c.
$627.27
d.
$628.40
Adam's balance at the end of June is $627.27
The adjusting balance method is used to determine the interest that would be paid by a credit card owner. The interest that would be paid is determined at the end of a period after all transactions have been adjusted for.
For example, if I have $100 in my credit card. If I buy a shoe worth $50 and deposit $20. My balance at the end of the month would be ($100 + $50 - $20) = $130.
Adam's balance can be determined by adding the amount he spent on purchases to the beginning balance and subtracting the payments he made.
$626.45 + $37.41 + $44.50 - $65.5 +$24.89 - $104.77 +$23.60 + $15 + $51.85 = $605.23
The balance at the end of the month would be the sum of the interest and the amount in his balance
Interest earned = balance x interest rate
Interest rate = 14.63% / 4 = 3.66%
Interest earned = $605.23 x 0.0366 = $22.14
Balance = $22.14 + $605.23 = $627.37
To learn more about the adjusting balance method, please check: https://brainly.com/question/2141275?referrer=searchResults
Answer:
C
Step-by-step explanation:
627.27. Just had it on my test
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Yep.. that's how you count...good job