Missing part of the question
Some parts of California are particularly earthquake-prone. Suppose that in one metropolitan area, 25% of all homeowners.....................
Answer:
[tex]P(X = x) = ^4C_x * 0.25^x * 0.75^{4-x}[/tex]
[tex]Mean = 1[/tex]
[tex]Pr = 0.2617[/tex]
Step-by-step explanation:
Given
[tex]n = 4[/tex]
[tex]p = 25\%[/tex]
Solving (a): The probability distribution of x
We have:
[tex]n = 4[/tex]
[tex]p = 25\%[/tex] [tex]= 0.25[/tex]
The probability of not having earthquake insurance (q) is:
[tex]q = 1 - p[/tex]
[tex]q = 1 - 0.25[/tex] [tex]= 0.75[/tex]
If x has insurance, then n - x do not.
The distribution follows a binomial pattern. So, the probability distribution is:
[tex]P(X = x) = ^nC_x * 0.25^x * 0.75^{n-x}[/tex]
Substitute 4 for n
[tex]P(X = x) = ^4C_x * 0.25^x * 0.75^{4-x}[/tex]
Solving (b): The most likely value of x i.e. The mean
We have:
[tex]n = 4[/tex] and
[tex]p = 25\%[/tex] [tex]= 0.25[/tex]
[tex]Mean = np[/tex]
[tex]Mean = 4 * 0.25[/tex]
[tex]Mean = 1[/tex]
Solving (c): At least 2 of 4 selected have earthquake insurance.
This is calculated as
[tex]Pr = P(x = 2) + P(x = 3) + P(x = 4)[/tex]
[tex]P(X = x) = ^4C_x * 0.25^x * 0.75^{4-x}[/tex]
[tex]P(X=2) = ^4C_2 * 0.25^2 * 0.75^{4-2}[/tex]
[tex]P(X=2) = 6 * 0.25^2 * 0.75^2 = 0.2109375[/tex]
[tex]P(X=3) = ^4C_3 * 0.25^3 * 0.75^{4-3}[/tex]
[tex]P(X=3) = 4 * 0.25^3 * 0.75 = 0.046875[/tex]
[tex]P(X=4) = ^4C_4 * 0.25^4 * 0.75^{4-4}[/tex]
[tex]P(X=4) = 1 * 0.25^4 * 1= 0.00390625[/tex]
So:
[tex]Pr = P(x = 2) + P(x = 3) + P(x = 4)[/tex]
[tex]Pr = 0.2109375 + 0.046875 + 0.00390625[/tex]
[tex]Pr = 0.26171875[/tex]
[tex]Pr = 0.2617[/tex] --- approximated
If you good with 7th grade math pls help
289 196 248 379 319 276 198 349
(in order) 196, 198, 248, 276, 289, 319, 349, 379 there are eight numbers.
--------------------------------------------------------------------------------------
196, 198, 248, 276
since the median is between 198 and 248, we must add both numbers together and divide them by two:
(198 + 248) ÷ 2
= 446/2
= 223 (first quartile)--------------------------------------------------------------------------------------
289, 319, 349, 379
since the median is between 319 and 349, we must add both numbers together and divide them by two:
(319 + 349) ÷ 2
= 668/2
= 334 (third quartile)--------------------------------------------------------------------------------------
Interquartile range:
IQR: 334 - 223 = 111I double-checked my answers btw
Find the amplitude of the solution
y=-4sin1/3x
Answer:
c. 4
Step-by-step explanation:
The amplitude of a graph is basically the distance from the top of the wavelength to the bottom of the wave length. When dealing with the equation itself the amplitude is represented by the initial number being multiplied to the sin cos or tan. Since the amplitude is just the distance and direction does not matter, this value is always positive. Therefore, in this scenario, the amplitude would be 4.
The drawing shows a concrete walkway around a pool. What is the total area of the concrete?
A) 165 ft2
B) 150 ft2
C) 50 ft2
D) 65 ft2
Answer & Step-by-step explanation:
The drawing shows a concrete walkway around the pool, Area of concrete is calculated as: 25 x 13 = 325; 20x 8 = 160; 325 ft^2-160 ft^2=165 ft^2.
what is 10 divided by ten plss help am in 2nd grade!!!!!
Answer:
It will equal one:)))))))))
can you please help i have lots of hw since i got quarintined right before spring break
solve for the value of p
Answer:
43°
Step-by-step explanation:
p + 7° + 3p+ 1° = 180° ( Being linear pair)
4p + 8° = 180°
4p = 180° - 8 °
4p = 172°
p = 172° / 4
p = 43°
Hope it will help :)❤
helpppppp?!?!??!?!?!,!,!?!
Answer:
ok so I couldn't find what the answer was and there didn't seem to be a virus. Soooo I dunno what that link is. The account that posted it was a bot if you click on the profile it says it deactivated.
A circle has a radius of 5 units. What is the diameter of the circle?
Answer:
10
Step-by-step explanation:
5x5=10
Answer:
10 units
Step-by-step explanation:
5*2=10
PLEASEEEEEEE answer I've been trying forever. :(
A square has side length (5x - 3) cm what is the area of the square
Answer:
Step-by-step explanation:
area = (5x-3)² = (25x² - 30x + 9) cm²
Given tan0 = 7/24 use the Pythagorean theorem to find the value of sin 0
Answer:
Step-by-step explanation:
Don't use 0 (or any other number) to replace θ. Use a letter variable such as x.
tan(x) = 7/24
sin(x)/cos(x) = 7/24
sin(x) = 7/√(7²+24²) = 7/√625 = 7/25
(бх -Зу = 6
(2x-y=-5
Answer:
6-
Step-by-step explanation:
Your answer should be written in paragraph/essay format.
Any sources used should be cited at the bottom of your paper.
All answers should show you have learned something from Unit 9. Material from other units will not be graded for this assignment.
If you are stuck, you can think about the following topics: textile mills, interchangeable parts, the Lowell System, unions, labor reform, steamboats, railroads, coal, the telegraph, and/or new inventions.
25% of Mr. Foster's class chose an amber background for their school picture. If 6 students chose an amber background, how many students are in Mr. Foster's class?
Answer:
24 studentsStep-by-step explanation:
25% of a hundred is one-fourth and because there are six students in a fourth of the whole we are multiplying four and six. 6x 4 is 24.
The percentage is calculated by dividing the required value by the total
value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
25% = 6 students
100% = 24 students
The total number of students in Mr. Foster's class is 24.
What is a percentage?The percentage is calculated by dividing the required value by the total
value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Number of students who chose an amber background = 6
25% of Mr. Foster's class chose an amber background for their school picture.
This means,
25% = 6
The total number of students = 100%
Now,
25% = 6 students
Multiply 4 on both sides.
4 x 25% = 4 x 6 students
100% = 24 students
Thus,
The total number of students in Mr. Foster's class is 24.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ2
Quick please! I need it
Answer: A = 1/2 b x h
Step-by-step explanation:
Pleaseeeeeeeeee helppppp me no links
Answer:
Base:12
Volume:76.8
Step-by-step explanation:
The base is 3*8/2
which is 12
and the volume is base * height so
12*6.4
=76.8
Hope this helps :) Giving me brainiest would help a lot :))
Tapiwa raked 5% more leaves than Adam raked. Tapiwa raked 357 liters of leaves.
How many liters of leaves did Adam rake?
Answer:
340 liters
Step-by-step explanation:
This means that Tapiwah raked x plus 5% of x leaves. Knowing that Tapiwah actually raked 357 liters, we can find the value of x as follows. So, Adam raked 340 liters of leaves.
Find the slope of the line from the table below
Answer:
m = -10
Step-by-step explanation:
m = y2 - y1 / x2 - x1
m = 60-50 / -2 - -1
m = 10/ -1
m = -10
Answer:
-10
Step-by-step explanation:
We can use two points from the table to find our slope.
Remember, the slope formula is [tex]\frac{y2-y1}{x2-x1}[/tex]. We can use the points (-1,50) and (-2,60). Let's substitute the values into the formula.
[tex]\frac{60-50}{-2-(-1)}[/tex]. This gets us to [tex]\frac{10}{-1}[/tex], so our slope is -10.
Hope this helps!
A number is chosen at random from 1 to 10. Find the probability of selecting a multiple of 2.
Answer: the percentage you would get the number two would be 10% out of 100 I believe. Hope it helped!
Solve the inequality 7 ≥ b + -2
A. B ≤ 9
B. B ≤ 5
C. B ≥ 9
D. B ≥ 5
Answer:
Step-by-step explanation:
. [tex]7 \geq b + (-2) \\7+2 \geq b\\\\9 \geq b\\\\b\leq 9[/tex]
choice a
isolate b ( leave b by itself)
to do that, add 2 to the 7.
Here are the names of 12 orchestra conductors and their performance times in minutes for Beethoven’s Ninth Symphony: Bernstein 71.03 Furtw€angler 74.38 Leinsdorf 65.78 Ormandy 64.72 Solti 74.70 Szell 66.22 Bohm 72.68 Karajan 66.90 Masur 69.45 Rattle 69.93 Steinberg 68.62 Tennstedt 68.40 a. Check to see that normality is a reasonable assumption for the performance time distribution. b. Compute a 95% CI for the population standard deviation, and interpret the interval. c. Supposedly, classical music is 100% determined by the composer’s notation, including all timings. Based on your results, is this true or false?
Answer:
You sure this under math catagory?
Step-by-step explanation:
What are the solutions of the quadratic equation (x + 3)2 = 49? A. O x = 2 and x = - 10 B.O.x = 4 and x = -10 C.O x=-2 and x = -16 D.O x = 40 and x = -58
Answer:
B. x = 4 and x = -10
Step-by-step explanation:
First, expand the equation
(x + 3)² = 49
(x + 3)(x + 3) = 49
x² + 6x + 9 = 49
Subtract 49 from both sides
x² + 6x -40 = 0
Factor
(x + 10)(x - 4) = 0
Solve
x + 10 = 0
x = -10
x - 4 = 0
x = 4
So, the correct answer is B. x = 4 and x = -10
A group of friends were working on a student film that had a budget of $1000. They used $370 of their budget on costumes. What percentage of their total budget did they spend on costumes?
Answer:
37%
Step-by-step explanation:
take aways the zero from 370 and one zero from 1000 then you get 37%
4 and b = 5.
Evaluate the given expression when a
2a + 6b
HELP
State the hypothesis and the conclusion in each conditional statement.
26. If you are a basketball player, then you are at least 5’9” tall.
27. If three points lie on a line, then they are collinear.
28. If you are 13 years old, then you are a teenager.
29. 9x=36 implies x=4.
30. A =+~ B only if mA =+~mB ( I can’t type it so please look at the picture instead )
You don’t have to do all this if you don’t want to, you can help me by doing at least one.
Thank youuuuuu :) <3
Number 3 I need some help
Answer:
15+10x>_75
Step-by-step explanation:
so last one
Ratio of the simplest form (a) 27 days to 3 weeks (b) 1 L 25 ml: 2 to ml
Answer:
327
Step-by-step explanation:
What can be said about 10 and -10?
Answer:
They are complete opposites
Step-by-step explanation:
Answer:
they are opposites
Step-by-step explanation:
What’s the answer it says chose all
Answer:
B and C are correct
Step-by-step explanation:
Answer:
Step-by-step explanation:
x = 40
x = 120
The < sign means less than.
38 is less than 25, but it is less than 40 and 120.
Hope that helps!
-Sabrina
Use a calculator to solve the equation.
−9.5x + 0.81 = −2.99
The solution is x =
Answer:
x = 0.4
Step-by-step explanation:
Answer:
x=0.4
Step-by-step explanation:
Given function:
-9.5x+0.81=-2.99find xCombine first value by 0.81:
-9.5+0.81=-2.99-19x/2+0.81=-2.99Subtract 0.81 both from sides:
-19x/2+0.81-0.81=-2.99-0.81Simplifly -19x/2:
-19x/2=-3.8Multiply all terms by similar term:
2·19x/2=2·3.8Divide both terms by -7.6:
-19x/-19-7.6/19=0.4Therefore, x=0.4.
Charlotte walks home from school every day at a rate of
4 miles per hour. It takes her 30-minutes to reach
home. Her brother, Noah, runs home from the same
school every day at a rate of 6 miles per hour. How
many fewer minutes does it take Noah than Charlotte
to reach home from school each day? Be sure to
SHOW your WORK!
Answer:
Noah takes 20 minutes to get to his house, that is, 10 minutes less than Charlotte.
Step-by-step explanation:
Since Charlotte walks home from school every day at a rate of 4 miles per hour and it takes her 30-minutes to reach home, while her brother, Noah, runs home from the same school every day at a rate of 6 miles per hour, to determine how many fewer minutes does it take Noah than Charlotte to reach home from school each day the following calculation must be performed:
Charlotte:
4 mph = 4/60 = 0.0666 miles per minute
0.0666 x 30 = 2 miles
So the distance from the school to her house is 2 miles
Noah:
6/60 = 0.1 mile per minute
2 / 0.1 = 20
Thus, Noah takes 20 minutes to get to his house, that is, 10 minutes less than Charlotte.