Stanley is also considering buying a house in Cape Cod. Cape Cod is much smaller than the Jersey Shore with only 15 towns that can be affected by floods. You have collected the following data. # of floods per town per summer # of towns having these losses 0 2 1 4 2 ?3 5 4 1 a. Calculate the probability distribution for frequency based on the information provided above. (2 points) b. Stanley would like to know which location faces the most risk for floods between the Jersey Shore and Cape Cod? Show/explain how you came to this answer
Answers
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
[tex]P_1 = 0.1333[/tex] , [tex]P_2 = 0.266[/tex], tex]P_3 = 0.200[/tex], [tex]P_4 = 0.333[/tex] , [tex]P_5 = 0.067[/tex]
b
The location with most risk for flood is the location with 5 towns
Step-by-step explanation:
From the question we are told that
The total number of town is n = 15
Generally the missing number of town is mathematically evaluated as
[tex]k = 15 - [2 + 4 + 5 + 1 ][/tex]
=> [tex]k = 3 [/tex]
Generally the probability distribution for frequency is mathematically represented as
[tex]P = \frac{A}{B}[/tex]
Here A is the number of town having these losses (i.e each row under the number of towns having the losses column)
B is the total number of towns
Considering column one
[tex]P_1 = \frac{2}{15}[/tex]
[tex]P_1 = 0.1333[/tex]
Considering column two
[tex]P_2 = \frac{4}{15}[/tex]
[tex]P_2 = 0.266[/tex]
Considering column three
[tex]P_3 = \frac{3}{15}[/tex]
[tex]P_3 = 0.200[/tex]
Considering column four
[tex]P_4 = \frac{5}{15}[/tex]
[tex]P_4 = 0.333[/tex]
Considering column five
[tex]P_5 = \frac{1}{15}[/tex]
[tex]P_5 = 0.067[/tex]
Looking at the table we see that the region with 5 towns receive 3 floods per town and this region of 5 towns has a higher probability distribution for frequency compared to the other region. hence the location with most risk for flood is the location with 5 towns
Related Questions
Evalute the function when x = -2
f(x)=11- 3x
Please help I’m confused by the whole concept
Answers
Answer:
f(-2)=17
Step-by-step explanation:
Anywhere you see x replace it with -2
f(-2) = 11 - 3 (-2)
f(-2) = 11 + 6
f(-2) = 17
A group of students held a fundraiser last year and raised $950 for charity. This year, they raised $1,045.
What is the percent change in the amount the group raised?
bo
Answers
Answer:
10% (if this is helpful please brainlist!!!)
Step-by-step explanation/proof:
Help please I’m gonna fail
Answers
Answer:
Step-by-step explanation:
1) 0
2) 19
3) -6
4) -27
5) -35
6) 20
7) -75
8) -8
9) 183
10) 0
please give award!
What is the slope of the line through points (8, -3) and (2, 1)?
Answers
Answer:
2/3
Step-by-step explanation:
1--3/2-8
=4/6
=2/3
What is the point of an object where the force of gravity is considered to act?
Answers
Answer:
center of gravity
Step-by-step explanation:
The jogging track at Francine's school is 3/4 mile long. Yesterday Francine completed two laps on the track. If she ran 1/3 of the distance and walked the remainder of the way, how far did she walk?
Answers
0.50-0.33=0.17
Francine walked 0.17mi
pls pls help pls plz plz
Answers
Answer:
148
Step-by-step explanation:
a/22=74
a=1628
1628/11=148
Answer:
148
Step-by-step explanation:
the # is divided by 22 to get 74, so to know what # is, we need to multiply 22 and 74, which fives you 1,628. Then, you just divide that by 11, which give you 148 :)
for some reason it won't let me type the at symbol
WILL GIVE BRAINLIEST!
The estimated total cost, y, of a child's toy is partially based on the number of batteries used, x. The cost per battery is $0.50. They toy itself costs $15. Which equation represent the situation?
a
y = 0.50x - 15
b
y = 15x - 0.50
c
y = 15x + 0.50
d
y = 0.50x + 15
Answers
Answer:
D: 0.50x+15
Step-by-step explanation:
batteries used(each)- x, so you add the x in front of 0.50 representing multiplication between the #
you are doing total cost so you are doing addition (obvously) then its a plain $15 for the toy itself therefore,
y=0.50x+15 (hope this made sense)
7/10;1/3;5/6 ayuda es de matemáticas
Answers
Answer:
0.7 1/3 0.8333 repeating yo no hablo espanol
Step-by-step explanation:
7 / 10 is 0.7 , 1 / 3 is 1/3, 5 /6 is 0.8333 repeating
If you had a bank that offered 6.1% interest and compounded money 4 times a year, how many years would go by until you could turn $6000 into enough to buy a brand new car ($12,000)?
Answers
Answer:
t = 11.45 years
Step-by-step explanation:
A = p(1+r/n)^nt
A = future value = $12000
P = present value = $6000
n = number of periods = 4
r = interest rate = 6.1% = 0.061
t = number of years = ?
t = log(A/P) / n[log(1 + r/n)]
= log(12000/6000) / 4[log(1+0.061/4)]
= log(2) / 4[log(1 + 0.01525)]
= 0.3010 / 4[log(1.01525)]
= 0.3010 / 4(0.00657)
= 0.3010 / 0.02628
= 11.45 years
What number when divided by 10 to the second power yields a quotient of 0.1?
Answers
Answer:
1
Step-by-step explanation:
1 ÷ 10 = 0.1
hope this helped
Solve for X. 8(x + 2) = 40 Simply your answer as much as possible. = x 6
Answers
Answer:
x = 3
Step-by-step explanation:
8(x+2) = 40
8x + 16 = 40
8x = 24
x = 3
You earn $9.50 per hour at your summer job. Write and solve an inequality to find the number of hours you need to work to buy a camera that costs $247. define the variable. create an inequality. Solve.
Answers
h
represent hours worked.
Now, we know the pay for one hour of work is
$
9.50
. So, the amount of pay for
h
hours worked is given by
9.50
h
.
Furthermore, since we're saving for a camera that costs
$
247
,
we want at LEAST
$
247
(but it's okay if we have more). So, we'll be using
≥
in the inequality.
So, our inequality is
9.50
h
≥
247
To solve, we simply divide both sides by
9.50
:
h
≥
247
9.50
h
≥
26
You need to work at least
26
hours to buy the digital
Find −6 3/8−1/4. Write your answer as a mixed number in simplest for
Answers
Answer:
Usually, a mixed number is the simplest way to express an improper fraction – but sometimes, the fraction ... Don't express the answer as a decimal. Instead ... So, add the whole number back in to get a final result of 6 1/2. ... Write out the factors for the numerator of your fraction, then write out the factors for the denominator.
Step-by-step explanation:
Answer:
mixed number is a number consisting of a whole number and a proper fraction.
Below are examples of mixed numbers:
4\dfrac12, 1\dfrac38, 12\dfrac564
2
1
,1
8
3
,12
6
5
Step-by-step explanation:
make me as brain liest
PLEASE HELP IM BEGGING YOU!!
FIND THE VALUE OF X
Answers
Answer:
12
Step-by-step explanation:
if 8+15 is about the length of the circle, the length is about 23
so 23 - 10 = 13 and the closest number to 13 is 12 so 12 is the answer
Simplify. 863x14y9−−−−−−√
Answers
Answer: 1
Step-by-step explanation: 863x14ysqrt9= 3 simplified is 1
Lillian read 2 books in 3 months. What was her rate of reading, in books per month? Give your answer as a whole number/ a fraction in simplest form
Answers
Answer: 2/3
Step-by-step explanation:
Books per month is books divided by months
she read 2 books in 3 months, so divide 2/3
2/3 is your answer
Fraction in simplest form is [tex]\frac{2}{3}[/tex] .
Given Lillian read 2 books in 3 months.
So, He read books in one month is [tex]\frac{2}{3}[/tex].
Hence Lillian reads [tex]\frac{2}{3}[/tex] books per month.
For more details on unitary method follow the link:
https://brainly.com/question/12116123?
What is the factored form of this expression?
-9x^3 - 12x^2 - 4x
A. x(3x - 2)(3x + 2)
B. -x(3x + 2)^2
C. x(3x - 2)^2
D. -x(3x - 2)(3x + 2)
Answers
Answer:
B
Step-by-step explanation:
Given
- 9x³ - 12x² - 4x ← factor out - x from each term
= - x(9x² + 12x + 4) ← perfect square
= - x(3x + 2)(3x + 2)
= - x(3x + 2)² → B
-9x^3-12x^2-4x
Factor out -x from the expression
-x×(9x^2+12x+4)
Using a^2+2ab+b^2=(a+b)^2 Factor the expression
-x×(3x+2)^2
now we do the same thing only different way ok
9x^2+12x+4
write the number in the exponential form with an exponent of 2
3^2 x^2+12x+4
write the expression as a product with the Factors 3x and 2
3^2 x^2 +2×3x×2+4
write the number in the exponential form with an exponent of 2
3^2 x^2+2×3x×2+2^2
Multiply the terms with equal exponents by multiplying their bases
(3x)^2+2×3x×2+2^2
Using a^2+2ab+b^2=(a+b)^2 Factor the expression
(3x+2)^2
Solution: -x×(3x+2)^2
answer:B
PLEASE MARK ME AS BRAINLIEST
1. What are the opposite and absolute value of:
a) 7.2 ____,____ b) -3.5 ____, ____ c) 5 ½ ____,____
Answers
Answer:
a) 7.2, -7.2, 7.2
b) -3.5, 3.5, 3.5
c) 5 1/2, -5 1/2, 5 1/2
Step-by-step explanation:
The opposite number of a value is the number that adds to it to make zero. To find the opposite of a number you need to switch the sign, either from positive to negative or vice versa. The absolute value of a number is the distance from zero it is. Since distance cannot be negative you just need to take the number and make it positive.
I have done this for a million times and I always get this one wrong I need the correct answer
Answers
Answer:
A, B, and D.
Step-by-step explanation:
HEY!! remember that if a number has ^2, it basically means it's multiplied by itself. for example:
5^2 = 5 x 5
aka, 25.
You can use this to check each of the answers in your formula, like this:
if x=6, then:
x^2 < 100
6 x 6 = 36
36 < 100
A is one of your correct answers!
Also remember, if you multiply a negative by a negative, it becomes positive.
-5 x -5 = 25
-10 x -10 = 100
Solve for x.
6x
(2x + 12)
Answers
180=6x+2x+12
180=8x+12
subtract 12 from both sides
168=8x
divide both sides by 8
21=x
the answer is 21 which is the second choice
What angle would it be?
Answers
A study is performed in a large southern town to determine whether the average amount spent on food per four-person family in the town is significantly different from the national average. A random sample of the weekly grocery bills of two-person families in this town is given in the file. Assume the national average amount spent on food for a four-person family is $150.
a. Identify the null and alternative hypotheses for this situation.
b. Is the sample evidence statistically significant? If so, at what significance levels can you reject the null hypothesis?
c. For which values of the sample mean (e.g., average weekly grocery bill) would you reject the null hypothesis at the 1% significance level? For which values of the sample mean would you reject the null hypothesis at the 10% level?
Family Weekly food expense
1 $198.23
2 $143.53
3 $207.48
4 $134.55
5 $182.01
6 $189.84
7 $170.36
8 $163.72
9 $155.73
10 $203.73
11 $191.19
12 $172.66
13 $154.25
14 $179.03
15 $130.29
16 $170.73
17 $194.50
18 $171.14
19 $175.19
20 $177.25
21 $166.62
22 $135.54
23 $141.18
24 $158.48
25 $159.78
26 $157.42
27 $98.40
28 $181.63
29 $128.45
30 $190.84
31 $154.04
32 $190.22
33 $161.48
34 $113.42
35 $148.83
36 $197.68
37 $135.49
38 $146.72
39 $176.62
40 $154.60
41 $178.39
42 $186.32
43 $157.94
44 $116.35
45 $136.81
46 $195.58
47 $129.44
48 $146.84
49 $165.63
50 $158.97
51 $210.00
52 $175.46
53 $159.69
54 $154.56
55 $152.95
56 $177.30
57 $129.23
58 $127.40
59 $167.48
60 $183.83
61 $157.39
62 $163.24
63 $165.01
64 $137.43
65 $177.37
66 $142.68
67 $150.04
68 $161.44
69 $166.13
70 $190.96
71 $187.19
72 $116.63
73 $159.73
74 $159.64
75 $142.44
76 $153.03
77 $143.12
78 $156.35
79 $182.70
80 $129.03
81 $119.06
82 $137.99
83 $144.20
84 $183.51
85 $169.67
86 $134.66
87 $202.94
88 $143.43
89 $170.52
90 $139.53
91 $159.31
92 $134.77
93 $165.48
94 $127.20
95 $168.16
96 $125.39
97 $167.96
98 $178.64
99 $134.38
100 $111.87
Answers
Step-by-step explanation:
H0: u = 150
H1: u ≠ 150
Total sum = 15933.24
N = 100
Mean = 15933.24/100
= 159.3324
σ² = 25954.03 - (159.3324)²/100
σ² = 556.213
σ = √556.213
σ = 23.8162
Testing hypothesis
t = (bar x - u)/ σ/√n
= 159.3324-150/23.8162/√100
= 3.91
We will have a p value of 0.02
0.0002 < 0.01
We reject null hypothesis at 1% level of significance
C. Mean = 159.3324
Se= 2.3936
Df = 100-1 = 99
Critical value at 0.01 = +-2.626
T = x-u/s.e
= -2.626 =( x -150)/2.3936
When we cross multiply and solve this
X = 143.714 for the lower tail
2.626 = (x-159)/2.3936
= 156.286 for upper tail.
We therefore reject H0 at
Bar X <= 143.71
Bar X >= 156.286
At 10%
Critical t = 1.660
-1.660 = (x - 150)/2.3936
Solving this ,
X =146.02 at the lower tail
1.660 = (x-150)/2.3936
X = 153.97
We reject H0 at
X<= 146.03
X>=153.97
if a car travels 400 meters in 20.5 seconds how fast is it going
Answers
Answer:
The car is going 43.6475 mph
Step-by-step explanation:
4 divided by 1/5 plzzzz helppppppppppppppppppppppppp
Answers
Answer:
the answer is 20
Step-by-step explanation:
Answer:
Your answer is: 20
One of two or more expressions that are multiplied together to get a product.
Factor the numerator and denominator and cancel the common factors.
Step-by-step explanation:
Hope this helped : )
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Hold up i know the answer.
Step-by-step explanation:
A child walks 3/10 of a mile in 1/5 hour. At this rate, how far will the child walk in 1 hours ?
Answers
Answer:
1.5 miles
Step-by-step explanation:
.3 miles/12 minutes x 5/5 = 1.5 miles/ 1 hour
What is 9/7 times -9/5?
Answers
Answer:
- 2 11/35
Step-by-step explanation:
Step 1:
9/7 × - 9/5 Equation
Step 2:
- 81/35 Multiply
Answer:
- 2 11/35 Convert
Hope This Helps :)
Answer:
Step-by-step explanation:
nevermind sry
Answer the following question. What is 6x-7-12x+3?
Answers
Answer:
-6x-4
Step-by-step explanation:
Combine 6x and −12x to get −6x.
−6x−7+3
Add −7 and 3 to get −4.
−6x−4
Answer:
-6x-4
Step-by-step explanation:
6x-12x
-6x
-7+3
-4
-6x-4
Write the equation 2(x + 3) = 2x + 6 as a system of equations.
y =
x +
y =
x +
DONE
Answers
Answer:
y= 2x + 6
Y=2x + 6
Step-by-step explanation:
The graph of this system of equations will have two lines exactly on top of each other.
