Answer:
Absolute value of - 2/7 is -0.285714285
can somebody help me please
Given parameters :
Camille is 7 years older than Donny Donny is 4 years younger than TommyTo find :
Total ages of the three peopleSolution with details :
Let us take the age of Donny as x years - i
According to the given question we have ,
Camille's age = x + 7 yearsTommy's age - 4 = Donny's age Tommy's age = Donny's age + 4Tommy's age = x + 4 ( from i )Total ages of three people = Sum of their ages
Camille's age + Donny's age + Tommy's age x + 7 + x + x + 4 3x + 11Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, 27% of all homeowners are insured against earthquake damage. Four homeowners are to be selected at random. Let X denote the number among the four who have earthquake insurance.
(a) Find the probability distribution of X. [Hint: Let S denote a homeowner that has insurance and F one who does not. Then one possible outcome is SFSS, with probability (0.27)(0.73)(0.27)(0.27) and associated X value 3. There are 15 other outcomes.] (Round your answers to four decimal places.)
x 0 1 2 3 4
p(x) ___ __ __ __ __
(c) What is the most likely value for X?
(d) What is the probability that at least two of the four selected have earthquake insurance? (Round your answer to four decimal places.)
Answer:
a)
P(X = 0) = 0.2840
P(X = 1) = 0.4201
P(X = 2) = 0.2331
P(X = 3) = 0.0575
P(X = 4) = 0.0053
c) The most likely value for X is 1.
d) 0.2959 = 29.59% probability that at least two of the four selected have earthquake insurance.
Step-by-step explanation:
For each homeowner, there are only two possible outcomes. Either they are insured against earthquake damage, or they are not. Homeowners are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
27% of all homeowners are insured against earthquake damage.
This means that [tex]p = 0.27[/tex]
Four homeowners are to be selected at random.
This means that [tex]n = 4[/tex]
(a) Find the probability distribution of X.
This is the probability of each outcome. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{4,0}.(0.27)^{0}.(0.73)^{4} = 0.2840[/tex]
[tex]P(X = 1) = C_{4,1}.(0.27)^{1}.(0.73)^{3} = 0.4201[/tex]
[tex]P(X = 2) = C_{4,2}.(0.27)^{2}.(0.73)^{2} = 0.2331[/tex]
[tex]P(X = 3) = C_{4,3}.(0.27)^{3}.(0.73)^{1} = 0.0575[/tex]
[tex]P(X = 4) = C_{4,4}.(0.27)^{4}.(0.73)^{0} = 0.0053[/tex]
So the probability distribution is
P(X = 0) = 0.2840
P(X = 1) = 0.4201
P(X = 2) = 0.2331
P(X = 3) = 0.0575
P(X = 4) = 0.0053
(c) What is the most likely value for X?
P(X = 1) has the highest probability, so X = 1 is the most likely value.
(d) What is the probability that at least two of the four selected have earthquake insurance?
[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.2331 + 0.0575 + 0.0053 = 0.2959[/tex]
0.2959 = 29.59% probability that at least two of the four selected have earthquake insurance.
Help this is trigonometry I think 35 points!!
Answer:
y = 16.3
Step-by-step explanation:
We would apply the formula for altitude of a right triangle which is given as:
h = √(xy)
Where,
h = 14
x = 12
y = y = ?
Plug in the values
14 = √(12*y)
14² = (√(12*y) (squaring both sides)
196 = 12*y
196/12 = 12y/12 (division property of equality)
16.3 = y (nearest tenth)
y = 16.3
Help me with the math promblem plz
Answer:
I believe it's the last one, if you start from the lowest vertex it would be M'H'I'J'K'L'
Consider the graph of the function
f(x)=2^x
Answer:
D. The y-intercept is at (0,2)
Step-by-step explanation:
f(x) = 2^x and g(x)=2f(x) so g(x) = 2(2)^x
In the exponential function ab^x a is the y-intercept (in this case a is 2)
Y-intercept of g(x) at (0,2) which is correct option(D).
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
f(x) = 2ˣ
g(x) = 2f(x) = 2(2ˣ)
The y-intercept of g(x) = 2f(x),
Substitute in 0 for x and solve for y
y=2(2⁰)
Anything raised to 0 is 1 .
y=2
Y-intercept in point form.
Hence, y-intercept of g(x) : (0,2)
Learn more about Graph here :
https://brainly.com/question/16608196
#SPJ5
find the equation of a straight line passing through the point (1,2) and making an intercept of 3 on the positive y-axis.
(giving brainiest)
tell how you solved the question
Answer:
b
Step-by-step explanation:
volume = L x W x H
A. 4 x 7 x 8 = 224
B. 8 x 5 x 6 = 240
then you compare the number and see which one is greater
To find volume of a box you use the equation V= L*W*H
Box A-8*7*4= 224 in^3
Box B-6*5*8=240 in^3
Box b has a larger volume
Jack knows that one-third of his total trip is 640 miles. How far is Jack's total trip?
Carrie has $10 in a savings account. The interest rate is 10%, compounded annually.
To the nearest cent, how much will she have in 3 years?
Submit
Answer:
she will have 300 dollars
Step-by-step explanation:
In ΔDEF, the measure of ∠F=90°, the measure of ∠E=65°, and DE = 37 feet. Find the length of FD to the nearest tenth of a foot.
Answer:
x=33.5334≈33.5 feet
Step-by-step explanation:
What is the slope of a line that passes through the following points (-2,-5) and (2, 5)?
a.-4/10
b.4/10
c.-10/4
d.10/4
Find the area. Simplify your answer.
x-5
6
Answer:
6x-30
Step-by-step explanation:
Just multiple like this (6)(x-5)
It takes Naomi 4 minutes to run 5 laps. How long does it take her to run 30 laps? Use a table, double number line, tape diagram or another strategy to show your thinking.
(PLEASE ANSWER ITS DUE IN 20 MINUTES!)
Answer: 24 ???
Step-by-step explanation:
4 mins to run 5 ... so im guessing it goes by 5
5 = 4
10 = 8
15 = 12
20 = 16
25 = 20
30 = 24
I am not sure if its right but that what i think ( you can use a table btw one colom that says laps and starts with 5 then the other colom that says mins and starts with 4
Hope its right Good Luck have a good rest of your day
At a popular rock-climbing site in Yosemite National Park, a randomly selected
Answer:
please be more specific
Step-by-step explanation:
I’m gonna mark brainliest plz answer
Answer:
1) 6
2) 8/125
3) 5
4) 4/5
Step-by-step explanation:
1) 2x2x2x2x2x2 = 64 then 2^6 = 64
2) (2/5)^3 =8/125
3) 3x(3^4) = 3^5
4) sq rt 16/25 = 4/5
Need help pls ASAP 6th grade math
Answer:
don't know
Step-by-step explanation:
umm
Select all answer choices that show a correct comparison. A. 1 2 < 1 5 B. 3 5 > 3 10 C. 2 8 < 1 4 D. 5 6 > 2 5 E. 5 10 > 2 5
Answer:
78
Step-by-step explanation:
37-71
2538
37003-221
35303
PLEASE HELP!
find BC
Michelle deposited $1,600 into an account that is compounded continuously with an annual interest rate of 8%. After t years, there was $3,200 in the account. Based on the given information, if the formula for continuously compounded interest is A = P e r t , where P represents the initial amount of money, r represents the annual interest rate (as a decimal), t represents the number of years, and A represents the amount of money after t years, how many years had the money been in the account? Express your answer as a logarithm.
Answer:
As a logarithm, the money had been in the account for [tex]t = \frac{\ln{2}}{0.08}[/tex] years.
Step-by-step explanation:
The amount of money in the account after t years is given by:
[tex]A(t) = Pe^{rt}[/tex]
In which P is the initial amount deposited and r is the interest rate, as a decimal.
Michelle deposited $1,600 into an account that is compounded continuously with an annual interest rate of 8%.
This means that [tex]P = 1600, r = 0.08[/tex]
After t years, there was $3,200 in the account. How many years had the money been in the account?
This is t for which [tex]P(t) = 3200[/tex]. So
[tex]A(t) = Pe^{rt}[/tex]
[tex]3200 = 1600e^{0.08t}[/tex]
[tex]e^{0.08t} = \frac{3200}{1600}[/tex]
[tex]e^{0.08t} = 2[/tex]
[tex]\ln{e^{0.08t}} = \ln{2}[/tex]
[tex]0.08t = \ln{2}[/tex]
[tex]t = \frac{\ln{2}}{0.08}[/tex]
[tex]t = 8.67[/tex]
As a logarithm, the money had been in the account for [tex]t = \frac{\ln{2}}{0.08}[/tex] years.
The value of time t is [tex]\frac{ln(2)}{0.08}[/tex].
Given: P=1600
r=8%=0.08
t = ?
A=3200
Using the given compound interest formula we get:
[tex]A=Pe^{rt}\\3200=1600e^{0.08t}\\2=e^{0.08t}\\[/tex]
Take ln on both sides,
[tex]ln(2)=ln(e^{0.08t})\\ln(2)=0.08t\\t=\frac{ln(2)}{0.08}[/tex]
Learn more: https://brainly.com/question/12325365
Find the quotient of: (-20xyz) (5zy)
Answer:
the answer would be -4x
Step-by-step explanation:
dividing (-20xyz) by (5zy) = 3
A woman buys a pair of shoes at a sale. She pays $45, saving
$15 on the normal price. The percentage discount on the pair of shoes is
Answer:
33.3%
Step-by-step explanation:
Which three side lengths best describe the triangle in the diagram?
Answer:
d. 6cm, 6cm, 6cm
Step-by-step explanation:
each one of the rulers is lined correctly and shows that it is 6 cm
Find the slope and y intercept of 2y +8 = 6x + 4
Answer: y = 3x -2
Slope =3
Y-intercept = -2
Step-by-step explanation:
2y+8 = 6x + 4
Subtract 8 on both sides.
2y = 6x -4
Divide by 2. 2y divided by 2 leaves just y. 6x divided by 2 is 3x. -4 divided by 2 is -2.
Hopefully I did this correctly and it helps you!
You recently saw a news article that included this graph and had the title “A Nation of Procrastinators”. What evidence from the graph supports this title?
Answer: The graph shows that people procrastinate by doing their taxes mostly in April then in the beginning of the year in January
Step-by-step explanation: think about it the name in the title has procrastinated in it which means holding off for a certain amount of time, then look at the graph most the people held off until April, why must you ask? Because the taxes are higher in the beginning of the year
5-[6-2-(1-8) -3 +6]+5 =
Answer:
-4
Step-by-step explanation:
5 - [6 - 2 - (1 - 8) - 3 + 6] + 5 =
Simplify.
5 - [6 - 2 + 7 - 3 + 6] + 5 =
Subtract
5 - [4 + 7 - 3 + 6] + 5 =
Add
5 - (11 - 3 + 6) + 5
Subtract
5 - (8 + 6) + 5
Add
5 - 14 + 5
Simplify by adding and subtracting.
-4
good luck, i hope this helps :)
Answer:
[tex]sln \\ 5 - (6 - 2 - (1 - 8) - 3 + 6) + 5 \\ 5 - (4 - ( - 7) + 3) +5\\ 5 - (4 + 7 + 3)+5 \\ 5 - (14) +5\\ 5 - 14 \\ - 9[/tex]+5
=-4
I hope this help
PLEASE HELP! According to Mediamark Research, Inc. 86% of all U.S. households in 2007 owned at least one cellular phone. In a
simple random sample of 300 households, what is the standard deviation of households that own at least one cellular
phone? Round to the nearest tenth.
Answer:
260
Step-by-step explanation:
Find the slope y = 6x-1
Answer: the slope should be 6 I’m sure
Step-by-step explanation:
Answer:
y
=
−
6
x
−
1
Step-by-step explanation:
x-1
Complete the calculations so that each shows the correct sum.0.5137+1 And no the answer is not 1.5137 I tried it you need to find the sum 6th grade math. HAVE A GOOD DAY
Answer:
1.5137 is the right answer.
Translate triangle HIK 4 units to the right and 1 unit up.
What are the coordinates of the vertices of the image?
A. H’(-10, 3), I’(-11, -6), and K’(-4, -7)
B. H’(6, 3), I’(-6, -11), and K’(-7, 5)
C. H’(10, 3), I’(11, -6), and K’(5, -7)
D. H’(-3, 10), I’(-6, 11), and K’(-7, -5)
Answer:
C. H'(10, 3 ), I(-11, -6), and K' (5, -7)
Step-by-step explanation:
Rigth on edge
How to you multiply 1/10 X 1.4?
Answer:
a. 1 ÷ 10 = 0.1
b. 0.1 x 1.4 = 0.14