Some parts of California are particularl earthquake prone. Suppose in one metropolitan area, 40% of all homeowners are insured against earthquake damage. Four homeowners are selected at random. Let X denote the number among the four who have earthquake insurance. Assume that the event of each homeowner having or not having insurance is independent.
Required:
a. Find the probability mass function of X?
b. What is the most likely value for X?
c. What is the probability that at least two of the four selected have earthquake insurance?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Percentage of insured home owners = 40% p = 0.4
Selecting 4 home owners (x) ;
x = 0, 1, 2, 3, 4
Using bernoulli;
nCx * p^x * (1 - p)^(n-x)
For X = 0
4C0 * 0.4^0 * 0.6^(4-0) = 0.1296
X = 1
4C1 * 0.4^1 * 0.6^(4-1) = 0.3456
X = 2
4C2 * 0.4^2 * 0.6^(4-2) = 0.3456
X = 3
4C3 * 0.4^3 * 0.6^(4-3) = 0.1536
X = 4
4C4 * 0.4^4 * 0.6^(4-4) = 0.0256
B.) The most likely value for X are 1 and 2 with probabilities of 0.3456 respectively.
C.) probability that atleast 2 of the 4 selected have earthquake insurance ;
P(X ≥ 2) = p(2) + p(3) + p(4)
P(X ≥ 2) = 0.3456 + 0.1536 + 0.0256
P(X ≥ 2) = 0.5248
Answer:
hope this photo helps. 1
Related Questions
3z2 - 2z + 8
-
(10z2 +7z - 12)
Answers
Answer: 7z²-9z+20
Step-by-step explanation:
PEMDAS - Please Excuse My Dear Aunt Sally - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
Which inequality is represented by this graph?
5+
(0,1)
(3,0)
A. ys-3x+1
B. y>-*x+1
C. 72-3x+1
D. y< -1x+1
Answers
The inequality is represented by the given graph is y ≤ -x/3+1.
The correct option is B.
What is inequality?An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.
We have,
A graph of an inequality, passing by (0, 1) and (3, 0).
A and D are eliminated since the line is solid.
C is disregarded because the line is shaded below as well.
Then, the inequality will be y ≤ -x/3+1
Hence, the inequality is represented by the given graph is y ≤ -x/3+1.
Learn more about inequality here:
brainly.com/question/30231190
#SPJ7
Number Theory- Find all sets of the two consecutive positive integers with a sum that is at least 8 and less less than or equal to 24.
Answers
Answer:
Step-by-step explanation:
Let the smaller number = x
Let the larger number = x + 1
(4,5)
(5,6)
(6,7)
(7,8)
(8,9)
(9,10)
(10,11)
(11,12)
Help me get this please
Answers
Answer:
okay but i dont see anything
Step-by-step explanation:
Answer:
It is d = 0.6t haha I do I-Ready too! <3
Can anyone help me find the value of x of this mid segment triangle?
Answers
Answer:
Step-by-step explanation:
You have the correct answer. The sides are cut in half. 16 and x are in the same ratio 2:1
16 / 8 = 2:1
Last question Please I really need help ASAP! I WILL GIVE BRAINLIEST!!!!!
∠AOB is a right angle.
OC bisects ∠ AOB
D is on the interior of ∠ AOC
E is on the interior of ∠ COB
∠ AOD = 23 degrees
∠ DOC is congruent to ∠ EOB
∠ BAD = ∠ EAF = ∠ FAC
Draw this picture and then using that picture identify the true statements below.
a)
m∠ DOC = 23
b)
m∠ DOC = 22
c)
m∠ AOC = 90
d)
m∠ COE= 23
e)
m∠ AOC= 45
Answers
Step-by-step explanation:
a) is true
b) is true
c) is false
d) is false
e) is true
The distance of planet Mercury from the Sun is approximately 5.8 ⋅ 107 kilometers, and the distance of Earth from the Sun is 1.5 ⋅ 108 kilometers. About how many more kilometers is the distance of Earth from the Sun than the distance of Mercury from the Sun?
4.3 ⋅ 107 kilometers
9.2 ⋅ 107 kilometers
9.2 ⋅ 108 kilometers
5.7 ⋅ 109 kilometers
Answers
Answer:
If you take a look at, 1.5 kilometers you can see that Mercury from the Sun is 5.8, it is also asking how many more kilometers is the distance of earth, so if you look at 5.1 and D which is 5.7 you would add those last digits together and get 5.8 so therefore your answer could possibly be D) 5.7 ⋅ 109 kilometers
Step-by-step explanation:
correct me if i´m wrong
Answer: 9.2*10^7 which is B
Step-by-step explanation:
Helpppppppp!!! Points and brainlest !!!
Answers
Answer:
.33
Step-by-step explanation:
If you add the times the dice was rolled and landed on a number greater than four, you would get 108. Then, you would divide that by 330 and you get .327. Round that up and you get .33
Answer:
33? ig
Step-by-step explanation:
Period 5 is gearing up for a class ice cream party. Meghan plans to arrange the party and understands that ice cream cones cost $1.10 and sundaes cost $2.35. On the day of the party the receipt shows a total of 172 cones and sundaes were $294.20. How many cones were sold?
Answers
Answer: 88 cones.
Step-by-step explanation:
We know that:
price of a cone = $1.10
price of a sundae = $2.35
A total of 172 cones and sundaes were sold for $294.20
Then we can define two variables:
C = number of cones sold
S = number of sundaes sold.
C + S = 172 (the total number of sundaes and cones sold is 172)
C*$1.10 + S*$2.35 = $294.20 (that is how much the won).
Then we have the system of equations:
C + S = 172
C*$1.10 + S*$2.35 = $294.20
And we want to find how many cones were sold.
To solve this, we first need to isolate the other variable, S, in one of the equations, i will isolate S in the first equation:
S = 172 - C
Now, let's replace this in the second equation:
C*$1.10 + (172 - C)*$2.35 = $294.20
Now we can solve this for C, and find the number of cones that were sold.
C*$1.10 + $404.20 - C*$2.35 = $294.20
C*($1.10 - $2.35) = $294.20 - $404.20
-C*1.25 = -110
C = 110/1.25 = 88
88 cones were sold.
simplify the expression.
-5+i/2i
Answers
Answer:
[tex] \rm - \dfrac{11}{2} [/tex]
Step-by-step explanation:
[tex] \rm Simplify \: the \: following: \\ \rm \longrightarrow - 5 + \dfrac{i}{2} i \\ \\ \rm Combine \: powers. \\ \rm \dfrac{i \times i}{2} = \dfrac{i^{1 + 1}}{2}: \\ \rm \longrightarrow - 5 + \dfrac{i^{1 + 1}}{2} \\ \\ \rm 1 + 1 = 2: \\ \rm \longrightarrow - 5 + \dfrac{i^2}{2} \\ \\ \rm i^2 = -1: \\ \rm \longrightarrow - 5 + \dfrac{( - 1)}{2} \\ \\ \rm \longrightarrow - 5 - \dfrac{1}{2} \\ \\ \rm Put \: - 5 - \dfrac{1}{2} \: over \: the \: common \: denominator \: 2. \\ \rm - 5 - \dfrac{1}{2} = \dfrac{2( - 5)}{2} - \dfrac{1}{2} : \\ \rm \longrightarrow \dfrac{ - 5 \times 2}{2} - \dfrac{1}{2} \\ \\ \rm 2 (-5) = -10: \\ \rm \longrightarrow \dfrac{ - 10}{2} - \dfrac{1}{2} \\ \\ \rm \dfrac{ - 10}{2} - \dfrac{1}{2} = \dfrac{ - 10 - 1}{2} : \\ \rm \longrightarrow \dfrac{ - 10 - 1}{2} \\ \\ \rm -10 - 1 = -11: \\ \rm \longrightarrow - \dfrac{11}{2} [/tex]
which is better buy 12 binders for $30 or 7 binders for $16.80
Answers
Answer:
7 binders for $16.80 is a better deal.
Step-by-step explanation:
57 is greater than x - 8
Answers
This is an inequality.
This is what the statement should look like: [tex]57 > x - 8[/tex]
Now, you can actually "properly" reverse these meaning the equality sign changes too. So basically you can mirror them.
The "mirrored" inequality expression would look like this: [tex]x - 8 < 57[/tex]
Now just like normal algebra, you can transpose these terms from 1 side to another and so, -8 would transpose to the right hand side and the operation would be the inverse or in this case, addition. The expression would look something like this: [tex]x < 57 + 8[/tex]
Add them up and you get: [tex]x < 65[/tex] :D
What is 12 times 164
Answers
Answer:
1968
Step-by-step explanation:
give me brainliest plsssss tysm
Answer:
1,968
Step-by-step explanation:
plz brainiest
Your friend decided to join a bmx course so he can race with his friends. The
courses charges $7 per race after the membership fee. Your friend has raced 28
times and paid a total of $210, including the membership fee. What is the
membership fee? How much would he pay if he races 39 times? *
Answers
Answer:
He would pay $287 if he races 39 times
Thus, the membership fee is $14.
Step-by-step explanation:
Linear Modeling
The situation described in the problem can be modeled as the equation of a line which has the form:
[tex]y=ax+b[/tex]
Where y is the cost of the course, x is the number of races, a is the cost per race, and b is the membership fee.
We know the course charges $7 per race, so a=7. Since your friend has raced x=28 times and paid y=210, we can find the value of b:
[tex]210=7(28)+b[/tex]
Operating:
[tex]210=196+b[/tex]
b=14
Thus, the membership fee is $14.
The linear model is now:
[tex]y=7x+14[/tex]
If he races x=39 times, your friend would pay:
[tex]y=7(39)+14=287[/tex]
y=287
He would pay $287 if he races 39 times
Given the Explicit rule find the 25th term.
f(n)=4n+3
Answers
Answer:
103
Step-by-step explanation:
f(n) = 4n + 3
f(25) = 4(25) + 3 = 103
Divide. Reduce the answer to lowest terms.
= 3
3
lo
28
51
17
17
27
23
28
Answers
can someone help me? it’s due in like 10 minutes
Answers
Answer:
B. 3x + y = 4
Step-by-step explanation:
y = -3x + 4
Check:
3x + y = 4
-3x -3x
y = -3x + 4
Answer:
It is B
Step-by-step explanation:
This is because if you use the point (1,1) for example then both x and y are 1.
1 X 3 = 3 and 3 + 1 = 4.
What is the reason for statement 3, statement 5, statement 7?
Answers
Answer:VOA
Step-by-step explanation:
3 and 5 )vertically opposite angles
7) same as 4
Find the equatios of the tangents to the curve xy=6 which are parallel to the line 2y+3x=0
Answers
y=-3x/2
because gradient =-3/2
and u must use formula (y-y1) = m(x-x1)
To increase attendance for a flower show, the organizers have chosen flower shops in the area to offer discount coupons to their customers. Half of the stores receive discount coupons for admission, while the other half of the stores receive two-for-one admission coupons. The organizers then compare the number of each type of coupon redeemed at the show.
What are the explanatory and response variables in this scenario?
The explanatory variable is the number of coupons redeemed. The response variable is the type of coupon.
The explanatory variable is each chosen flower shop. The response variable is the number of coupons redeemed.
The explanatory variable is the type of coupon. The response variable is number of number of coupons redeemed.
The explanatory variable is the attendance at the flower show. The response variable is the number of attendees who used coupons.
Answers
Answer:
Because the weather was generally better this year compared to last year, the attendance may have increased.
Step-by-step explanation:
took test
Answer:
C.) The explanatory variable is the type of coupon. The response variable is number of number of coupons redeemed.
Step-by-step explanation:
edge 2020
Write the equation of a line that passes through the point (6,8) and is parallel to y = 2x + 1.
Answers
Answer:
y = 2x - 4
General Formulas and Concepts:
Alg I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptParallel Lines have the same slope but different y-intercepts.
Step-by-step explanation:
Step 1: Define
y = 2x + 1
Step 2: Break function
Slope m = 2
y-intercept = 1
Step 3: Set up parallel line
y = 2x + b
8 = 2(6) + b
8 = 12 + b
b = -4
y = 2x - 4
Answer:
y = 2x - 4
Step-by-step explanation:
y - y1 = m(x - x1)
y - 8 = 2(x - 6)
y - 8 = 2x - 12
+ 12 + 12
y + 4 = 2x
- 4 - 4
y = 2x - 4 ------- formula for slope-intercept form: y = mx + b
Hope that helps!!! Please give me brainliest!!!
Replace the with <, >, or = to make the statement true.
5 0-3
Answers
5>0-3
Step By Step- 5 is greater than 0-3 because 0-3 would equal a negative number, and all positive numbers are greater than negative numbers
Answer:
5>0-3
Step-by-step explanation:
Greg’s Kitchen sells pans for $22 and pots for $9. Greg’s Kitchen also offers two coupons: 2POTSFOR1 (2 pots for the price of 1) and WELCOME25 (25% off your entire order). A customer would like to buy two pots and one pan. If the customer uses the best coupon, what will their total be?
Answers
Answer: the best coupon for this case is WELCOME25, and the cost will be $30.
Step-by-step explanation:
We know that:
Price for pans = $22
Price for pots = $9.
If the customer buys two pots and one pan, he would pay::
C = 1*$22 + 2*$9 = $40.
If the customer uses the coupon 2POTSFOR1
Then he will pay only one of the pots, and the total cost will be:
C = 1*$22 + 1*9 = $31.
If the customer uses the WELCOME25 coupon, then the cost will be a 75% of the original cost.
if 100% = $40
then:
75% = C
Where
We can take the quotient of these equations and get:
(C/$40) = (75%/100%)
C = (75%/100%)*$40
C = 0.75*$40 = $30
Then the best coupon for this case is WELCOME25, and the cost will be $30.
What is the equation for the following graph?
Answers
Answer:
x=4
Step-by-step explanation:
help me answer, please!
Answers
Answer:
Step-by-step explanation:
4). Domain: ( - ∞ , ∞ )
Range: [ - 4 , ∞ )
5). Domain: ( - ∞ , ∞ )
Range: ( - ∞ , ∞ )
Look at the picture please!!
Answers
Answer:
6 and 4
Step-by-step explanation:
they equal the same angle as 1
Answer:
Step-by-step explanation:
∠2, ∠4, ∠7
if a+ -76 = 480 then what is the value of a
Answers
Answer:
A=556
Step-by-step explanation:
Hope this Helps :)
Answer:
the value of a is 556
Step-by-step explanation:
I would explain but im too lazy, sowwy
Integers were used in the 15th century by European traders to label barrels of grain or flour. For example, a barrel that was 1 pound too heavy was labeled +1, and a barrel that was 1 pound too light was labeled –1.
A trader checked twenty 50-pound barrels and found the labels to be: five –3s, nine –5s, two +4s, and four –8s. Find the actual total weight of the barrels.
Answers
Answer:
sorry if i knew i would of told you bc i need help with that 2
Step-by-step explanation:
where the same person HE He!!
0.028 + 0.007
Can you pls helo
Answers
Answer:
0.035
Step-by-step explanation:
its just math........
0.028
+
0.007
line it up like addition then add!
PLEASE MARK AS BRAINLIEST!
Answer:
0.035
Step-by-step explanation:
0.028 + 0.007 -> 7 + 8 = 15. Carry the 1 over to where the next digit is (2)
= 0.035
Please help me, I will mark brainliest and tell me why u got ur answer
Answers
Answer:
G
Step-by-step explanation:
