Answer:
I originally answered incorrectly, I apologize, I'm assuming to other person is correct. I'm very sorry if I had to guess, when I look it up distributive property pops up.
Each time a hurricane arrives, a new home has a 0.4 probability of experiencing damage. The occurrences of damage in different hurricanes are mutually independent. a. Calculate the 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. Calculate the 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. Calculate the mode of the number of hurricanes it takes for the home to experience damage from three hurricanes.
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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please helpppppppppppppppppppp
Answer:
I got c
Step-by-step explanation:
18 minus plus 5 plus 7 is -30 so it dont represent zero
Answer:
C
Step-by-step explanation:
Use the distributive property to write an equivalent expression to -4(p+ 4) that
has no grouping symbols.
please help
Answer:
-4p-16
Step-by-step explanation:
Which of these expressions are equal to 4? Select THREE that apply.
You spin each spinner once. You get $50 if you spin a 2 and a vowel. You get $25 if you spin a 2 and a consonant. You get $5 if you spin a 1 and a vowel. Everything else earns $0. What is the expected value of this game?
$8.75
$12.50
$80
$10.25
The expected value of the game is $8.75.
----------------------
The expected value is the sum of each outcome multiplied by it's probability.A probability is the number of desired outcomes divided by the number of total outcomes.The probability of spinning a 2 and a vowel is: [tex]\frac{1}{4} \times \frac{2}{8} = \frac{2}{32}[/tex].Thus, [tex]\frac{2}{32}[/tex] probability of getting $50.The probability of spinning 2 and a consonant is: [tex]\frac{1}{4} \times \frac{6}{8} = \frac{6}{32}[/tex]Thus, [tex]\frac{6}{32}[/tex] probability of getting $25.The probability of spinning 1 and a vowel is: [tex]\frac{3}{4} \times \frac{2}{8} = \frac{6}{32}[/tex].Thus, [tex]\frac{6}{32}[/tex] probability of getting $5.
32 - (6 + 6 + 2) = 18, thus, [tex]\frac{18}{32}[/tex] probability of earning $0.
The expected value is:
[tex]E = \frac{2}{32}(50) + \frac{6}{32}(25) + \frac{6}{32}(5) + \frac{18}{32}(0)[/tex]
[tex]E = \frac{100 + 150 + 30}{32}[/tex]
[tex]E = \frac{280}{32}[/tex]
[tex]E = 8.75[/tex]
The expected value of this game is of $8.75.
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ILL GIVE BRANLIEST!! HELP NOW!!!
Garnet has a container with 4 1/3 cups of flour in it. She can make one dozen muffins with cups of flour. How many dozens of muffins can Garnet make with the flour she has?
A. 10 1/9
B. 1 6/7
C. 1 1/3
D. 2
She can make one dozen of muffins with 2cups of flour..
She can make muffins=
[tex]\\ \sf\longmapsto 4\dfrac{1}{3}\div 2[/tex]
[tex]\\ \sf\longmapsto 2\dfrac{1}{3}[/tex]
[tex]\\ \sf\longmapsto \dfrac{7}{3}[/tex]
But Now total dozens=
[tex]\\ \sf\longmapsto 4\dfrac{1}{3}\times \dfrac{7}{3}[/tex]
[tex]\\ \sf\longmapsto \dfrac{13}{3}\times \dfrac{7}{3}[/tex]
[tex]\\ \sf\longmapsto \dfrac{91}{9}[/tex]
[tex]\\ \sf\longmapsto 10\dfrac{1}{9}[/tex]
1-The diameter and a tangent are parallel.
A) always true
B) never true
2-The tangent at point B and the radius to point B are perpendicular to each other.
A) always true
B) never true
Answer:
always true always true
A politician has $4,200 to buy TV advertisements. If each advertisement costs $700, how many advertisements can the politician buy?
Answer:
He can but 6 ads
Step-by-step explanation:
how i thought of it was what times 700 hundred gives me 4,200 and i used the math that i have been taught and put together 6
Answer:
8
Step-by-step explanation:
4200÷7=
.................................
Solve -9 2/7 - (-10 3/7).
A. - 1 1/7
B. 1 1/7
C. 19 1/7
D. 19 5/7
Answer:
1 5/7
Step-by-step explanation:
-9 2/7 -(-10 3/7) recall -×- = +
-9 2/7 +10 3/7
1 2+3/7
1 5/7
How many 1/5 cm can be cut from a 30 cm piece of ribbon
Answer:
6 ang
Step-by-step explanation:
mark me as brainliest
what is the ratio of hearts to suns write your answer in simplest form for example 8:6 is equivalent to to 4:3
Step-by-step explanation:
this is the answer
please follow me and mark me as a brainlist
can some 1 help me please
Answer:
ygghjhghccghhfghjkvgnkvvnvcvbvf
Your job is to sell headbands for each headband that you sell at headbands R us you earn a commission of $1.25 if you do not sell any headbands you do not earn any money
Answer:
10 headbands = $12.50
Step-by-step explanation:
1) The function equation that represents the relationship between the number of headbands sold (x) and the commission earned (S) is: S = 1.25 * x. For each headband sold, you earn a commission of $1.25.
2) The point (5, 6.5) is not a solution for the function. When you sell 5 headbands, the commission earned should be $6.25, not $6.5.
3) A solution that does not appear in the table is (10, 12.50). Selling 10 headbands would result in a commission of $12.50.
1.
To complete the table, we can use the given information that for each headband sold, you earn a commission of $1.25.
Function Rule (Commission S): The function equation that represents the relationship between the number of headbands sold (x) and the commission earned (S) is:
S = 1.25 * x
Now, we can use this function to fill in the table:
Number of Headbands Sold (x) | Commission (S)
0 | 0 * 1.25 = $0 (No commission earned for 0 headbands sold)
1 | 1 * 1.25 = $1.25
2 | 2 * 1.25 = $2.50
3 | 3 * 1.25 = $3.75
7 | 7 * 1.25 = $8.75
15 | 15 * 1.25 = $18.75
32.50 | 32.50 * 1.25 = $40.625 (The value in the table seems to be a typo, it should be 32.50 * 1.25 = $40.625)
2.
To check if (5, 6.5) is a solution for the function, we need to see if the commission earned (S) matches with the given number of headbands sold (x) for that point.
Given (x, S) = (5, 6.5)
Using the function rule: S = 1.25 * x
S = 1.25 * 5 = 6.25
The commission earned (S) is $6.25, not $6.5. Therefore, (5, 6.5) is not a solution for the function as the value of S does not match.
3.
To identify a solution that does not appear in the table, we can select any number of headbands sold (x) and calculate the corresponding commission (S) using the function rule.
For example, let's choose x = 10:
Using the function rule: S = 1.25 * 10 = $12.50
So, a solution that does not appear in the table is (10, 12.50), where 10 headbands sold results in a $12.50 commission.
Learn more about Function Rule from the link given below.
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|3x−8|>−1. Write your solution in interval notation.
Answer:
(− ∞ , 1 /3 ) ∪ ( 5 , ∞ )
Step-by-step explanation:
Please can someone help? As i'm not confident this is right for factorising 4b^2 + 8b + 3
Answer:
your answer is correct
Step-by-step explanation:
4b² + 8b + 3
Consider the factors of the product of the coefficient of the b² term and the constant term which sum to give the coefficient of the b- term.
product = 4 × 3 = 12 and sum = + 8
The factors are 2 and 6
Use these factors to split the b- term
4b² + 2b + 6b + 3 ( factor the first/second and third/fourth terms )
= 2b(2b + 1) + 3(2b + 1) ← factor out (2b + 1) from each term
= (2b + 1)(2b + 3)
im not completely sure how to use slope (7th grade)
Answer:
-3/2
Step-by-step explanation:
choose an x variable with it's corresponding y variable from the table.
for example -4, 19
then choose another one,
for example 0, 13
-4 will be the x1 and 19 will be y1 (-4=x1) (19=y1)
the second pair,
0 will be x2 and 13 will be y2 (0=x2) (13=y2)
then you need to subtract y1 from y2: 13 - 19 = (-6)
then you need to subtract x1 from x2: 0 - (-4) = 4
now you have y = (-6)
and x = 4
and since rise over run, aka y = rise, x = run, you put y over x. (divide)
y/x -6/4 simplify = -3/2
How many groups of 3/4 are in 4 1/2
Answer:
5 1/2
Step-by-step explanation:
3/4+3/4+3/4+3/4+3/4+1/2= 4.25
4.25 = 4 1/2
The number of 3/4 groups is 6.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Total amount = 4(1/2) = 9/2
The number of groups.
= 9/2 ÷ 3/4
= 9/2 x 4/3
= 6
Thus,
There are 6 groups of 3/4.
Learn more about fractions here:
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The length of a rectangle is 7 feet less than three times the width, and the area of the rectangle is 66ft^2 . Find the dimensions of the rectangle.
Answer:
Step-by-step explanation:
w = width
3w = three times the width
3w-7=7 feet less than three times the width
l = length = 3w-7
A=length × width (lw)
66 = (3w-7) × (w)
66 = 3w^2 - 7w
3w^2 - 7w -66 =0
factor
3 = 3 × 1 and 66 = 6 × 11,
6 × 3 = 18, 11 × 1 = 11, 18 - 11 = 7
(3w )(w )=0 so far
(3w )(w 6)=0 so far
(3w 11)(w 6)=0 so far
(3w+11)(w-6)=0
w-6=0
w=6
3w=3*6=18
3w-7=3*6-7=18-7=11
w=6 feet
l=11 feet
K to the power of negative 2 multiplied by 2
Answer:
2k-²
Step-by-step explanation:
i hope this is the answer ur looking for !
Find the value of g for which MATH is a parallelogram.
A. 5
B. 6
C. 7
D. 10
Answer:
the answer is b.6
-------------------------
Polynomials
Multiply 5x(x2 - 4x+2)
Answer:
[tex]5x^3-20x^2+10x[/tex]
Answer:
-10x(x-1)
Step-by-step explanation:
5x(2x-4x+2)
10x^2-20x^2+10x
-10x^2+10x
-10x(x-1)
The sum of twice a number and seven less than four times a number is fifteen
Someone please help
Answer:
Step-by-step explanation:
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7x^2-4+6x^3-4x-x^4 in standard form?
Answer:
-x^4 + 6x^3 + 7x^2 -4x -4
Step-by-step explanation:
Please lmk if it is true or false
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
Yes, the above statement is True.
Answer:true
Step-by-step explanation:
$12 per 45 minutes is how much an hour? (I will give good rating to anyone who answers)
Answer:
$16
Step-by-step explanation:
1. Simplify 12/45 which is now 4/15. Now we know $4 is made every 15 minutes.
2. Divide into 60(minutes) by the the 15. So 60÷15=4. Now we the number of times 15 can be divided into 60.
3. Multiply the ratio 4/15 by 4/4 to see how much is made in an hour. 4x4/15×4=16/60.
$16 is made in 60 minutes (1 hour).
Find the value of x ?
Answer:
x = 232
Step-by-step explanation:
We know the measure of two angles now if you add both of them (90 +38) it will get u to 128now subtract 128 from 360and it will give u 232.If 8 pizzas cost $72,how much will 15 pizzas cost
Answer: $135
Explanation: To find how much 15 pizzas will cost, first we have to find out how much just one pizza will cost. To do this, you have to divide both the number of pizzas (8) and also the price for those 8 pizzas ($72) by the number of pizzas (8 again). When you do this you get the price of one pizza. Then you multiply the price of one pizza by the amount of pizzas you actually need to find the value for (15). This is a lot to explain but don't lose hope! Let me show you step by step and it'll make more sense.
Step 1) Divide both the amount of pizzas and the cost of that many pizzas
8 ÷ 8 = 1
72 ÷ 8 = 9
This means that one pizza costs 9 dollars.
Step 2) Multiply the cost of one pizza by 15 (the amt of pizzas you need to find the cost for)
15 × 9 = 135
135 is the cost for 15 pizzas. I hope this helps you!
you have $50 in your bank account. Each week you plan to deposit $7 from your allowance and $10 from your paycheck. The equation b= 50 + (10 + 7)w gives the amount b in your account after w weeks. How many weeks from now will you have $150 in your bank account?
Answer:
Step-by-step explanation:
It will take 6weeks for you to have$150
Find the product of the sum of 52 and 18 and the difference of 86 and 41.
Answer:
2450
Step-by-step explanation:
52+18=70
86-41=45
70×45=2450
The product of the sum of 52 and 18 and the difference of 86 and 41 is 3150.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the sum of 52 and 18 and the difference of 86 and 41.
We can write the expression as -
{x} = (52 + 18) x (86 - 41)
{x} = 70 x 45
{x} = 3150
Therefore, the product of the sum of 52 and 18 and the difference of 86 and 41 is 3150.
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