Answer:
0.0214 = 2.14% probability that exactly 36 out of 48 people in your study group have cell phones.
Step-by-step explanation:
For each citizen, there are only two possible outcomes. Either they have a cellphone, or they do not. The probability of a citizen having a cellphone is independent of any other citizen. This means that the binomial probability distribution is used 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.
A report by the US government states that 85,5% of citizens have a cell phone.
This means that [tex]p = 0.855[/tex]
You want to calculate the probability that exactly 36 out of 48 people in your study group have cell phones.
This is [tex]P(X = 36)[/tex] when [tex]n = 48[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 36) = C_{48,36}.(0.855)^{36}.(1-0.855)^{12} = 0.0214[/tex]
0.0214 = 2.14% probability that exactly 36 out of 48 people in your study group have cell phones.
Which side lengths form a right triangle?
Answer:
Answer:[tex] \huge\mathfrak\pink{S} \huge\mathfrak\purple{o} \huge\mathfrak\blue{l} \huge\mathfrak\red{u} \huge\mathfrak\green{t} \huge\mathfrak\pink{i}\huge\mathfrak\purple{o}\huge\mathfrak\red{n}\huge\mathfrak\orange{➔}\ [/tex] Pythagoras law:h²=p²+b²
needed to apply
4²+√8²=24²
24≠576
not a right angled triangle
again
5²+√5²=5²
50≠25
side are not a right angled triangle
again
4²+7.5²=(8.5)²
72.25=72.25
side are a right angled triangle
What is the length of the third side of a right triangle if it is known that the two of the sides have lengths 9 and 12. How many solutions does this problem have
Answer:
34 the answer
Step-by-step explanation:
What is the average rate of change from x = −4 to x = 1?
Answer:
What is the average rate of change from x = −4 to x = 1? x= -4 x + 5
7 x n = 42 + 7 what does n represent
Answer:
n=7
Step-by-step explanation:
n=7
In the expression 7 x n = 42 + 7, n represents a graph of a function in terms of x.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have an expression:
[tex]\rm 7 x n = 42 + 7[/tex]
Solving for the term n
[tex]\rm 7xn = 49\\\\\rm xn = 7[/tex] (divide by 7 on both sides)
[tex]\rm n = \frac{7}{x}[/tex] or
[tex]\rm n = 7x^{-1}[/tex]
If x = 1, then value of n
n = 7
Thus, in the expression 7 x n = 42 + 7, n represents a graph of a function in terms of x.
Learn more about the function here:
brainly.com/question/5245372
Point A is located at -7 on a number line, and point B is located at 3 on the number line. Point C is the same distance away from point A as point B is from point A, but in the opposite direction. Which is the location of point C on the number line?
options:
-17
-10
-4
-3
Answer:
Dang someone come help him
Step-by-step explanation:
Which is more likely: rolling a total of 8 when two dice are rolled or rolling a total of 8 when 3 dice are rolled? Discuss your solution by explaining it.
Answer:
Rolling a sum of 8 from two dice is more likely
Step-by-step explanation:
To obtain which is more likely, we could obtain the individual probabilities of both events.
TWO DICE :
Sample space for 2 die rolls = total possible outcomes = 6² = 36
Number of favorable outcomes = sum of 8 from 2 rolls = 5
Probability = number of favorable outcomes / total possible outcomes
P(sum of 8) = 5 / 36 = 0.1388
THREE DICE :
Total possible outcomes = 6³ = 216
Number of favorable outcomes = 21
P(sum of 8) = 21 / 216 = 0.097222
0.1388 > 0.097222
Anyone know this.......
Answer:
a) The basic rate of pay is 6 sterling pounds per hour.
b) The higher rate of pay is 10 sterling pounds per hour.
Step-by-step explanation:
Both segments of the curve are first order polynomials, which means that each have constant slopes.
a) The basic rate of pay is the value of the slope ([tex]r[/tex]), in sterling pounds per hour, of the line for the first 20 hours worked, that is:
[tex]r = \frac{\Delta y}{\Delta x}[/tex] (1)
Where:
[tex]\Delta x[/tex] - Change in hours worked, in hours.
[tex]\Delta y[/tex] - Change in pay, in sterling pounds.
If we know that [tex]\Delta x = 20\,h[/tex] and [tex]\Delta y = \pounds\, 120[/tex], then the basic rate is:
[tex]r = \frac{\Delta y}{\Delta x}[/tex]
[tex]r = \frac{\pounds\,120}{20\,h}[/tex]
[tex]r = 6\,\frac{\pounds}{h}[/tex]
The basic rate of pay is 6 sterling pounds per hour.
b) By using (1), we calculate the higher rate of pay below. If we know that [tex]\Delta x = 10\,h[/tex] and [tex]\Delta y = \pounds \,100[/tex], then the higher rate is:
[tex]r = \frac{\Delta y}{\Delta x}[/tex]
[tex]r = \frac{\pounds\,100}{10\,h}[/tex]
[tex]r = 10\,\frac{\pounds}{h}[/tex]
The higher rate of pay is 10 sterling pounds per hour.
Please help I’ll mark you as brainliest if correct!
Answer: 34.52 Is the correct answer.
In the Eqaulity -8 ≤ -5. Which number appears farther left on a number line and why?
A -8 appears farther left because -8 is smaller -5
B -5 appears farther left because -5 is larger than -8
C -8 appears farther left because -8 is larger than -5
D -5 appears farther left because -5 is smaller than -8
The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 50.4 and 51.4 min.
P(50.4 < X < 51.4) =
Answer:
=0.70
Step-by-step explanation:
p(x < 51.4) = (51.4-50.0)/(52.0-50.0)
p(x < 51.4) =1.4/2
=0.70
Help please thank you !!
Answer:
AC and AE
Step-by-step explanation:
Those are the only secants in the image shown.
Find the surface area of the prism.
2 in.
2 in.
6 in.
Answer:
56 m^2
Explanation: L=2, H=2, W=2, d = 6.63324958 m, TSA = 56 m^2, LSA = 48 m^2, TSA = 4 m^2, BSA = 4 m^2, V = 24 m^3
The length of a rectangle is 4y inches. The with of a rectangle is (y+2) Find the perimeter of the rectangle in terms of y
Answer:
10y+4
Step-by-step explanation:
perimeter=2(l+b)
2(4y+(y+2))
2(4y+y+2)
2(5y+2)
10y+4
Please answer if you are SURE.
what should be added to -7/3 to get 3/7
A.21/58
B.58/21
C.47/21
D.50/21
Answer:
b
Step-by-step explanation:
Question 1 (10 points)
A jar lid has a diameter of 32
millimeters. What is the
circumference of the lid to the
nearest tenth?
Blank 1:
Step-by-step explanation:
C=2πR=πD=3.14*32=100.5 mm
In January 2008, the temperature in parts of Minnesota fell from 46 (Fahrenheit) to -14(Fahrenheit) over a 24-hour period. What was the average temperature change per hour?
Answer:
the answer is -0.4.
Step-by-step explanation:
brainliest if right maybe?
Martina and Cameron each want to run for president of their school's student body council . In order to do so, they must collect a certain number of signatures and get a nomination So far Martina has 10 signatures , and Cameron has 15. Martina is collecting signatures at an average rate of 2 per day, whereas Cameron is averaging 1 signature every day. Assuming that their rate of collection stays the same, eventually the two will have collected the same number of signatures . many signatures will they both have? Write a system of equationsgraph them, and type the solution
Answer:
20
Step-by-step explanation:
I hope the answer satisfies you and hope that you understand my handwriting as I have explained. Thanks for the problem, it also helps me.
Given N , what is mABC
Triangle UVW has a perimeter of 11.5 units. Solve for y.
Answer:
y = 3.2 units
Step-by-step explanation:
Find the missing angle measure x. Use the fact that all interior angle measures in a triangle add up to 180 degrees.
55 + 50 + x = 180105 + x = 180x = 75We can use the Law of Cosines to determine the missing side length y.
a² = b² + c² - 2bc · cos(A)Let's set UW (y) as a, WV as b, and UV as c. Therefore, ∠V must be A, ∠U must be B, and ∠W must be C.
Use the Law of Cosines to solve for a (side length y).
a² = b² + c² - 2bc · cos(A) a² = (4)² + (3.5)² - 2(4)(3.5) · cos(50) a² = 28.25 - 28cos(50) a² = 28.25 - 17.99805307 a² = 10.25194693 a = 3.20186616366Side length y is equal to 3.2 units.
please help me i need to reconcile but it is hard, thank you
Answer:
Step-by-step explanation:
Add the first two columns - third column. See if it equals last column.
Number one is correct, number 2 is off by $1.00,etc
let me know if you are still confused
Rewrite by completing the square f(x) = x2 - 6x +43
Answer:
f(x) = (x - 3)^2 + 34
Step-by-step explanation:
7ax−7bx−2ay+2by
Factor by grouping
Answer:
(7x−2y)(a−b)
Step-by-step explanation:
To tell the truth I am just guessing from what I know I AM ONLY 13 DON"T EXPAECT TOO MUCH FROM ME!
Pls help me if u can
Answer:
523.33 cm³
Step-by-step explanation:
Formula of volume of sphere
[tex] = \frac{4}{3} \pi {r}^{3} [/tex]
The volume of the sphere
[tex] = \frac{4}{3} \times 3.14 \times {5}^{3} [/tex]
[tex] = \frac{1570}{3} [/tex]
[tex] = 523.3333333...[/tex]
= 523.33 cm³ (rounded to the nearest hundredth)
The smaller cube measures 10 cm on each edge. What is the surface area?
Answer:
10 cm cubed or 10^3cm
Step-by-step explanation:
Answer:
600
Step-by-step explanation:
6 sides x 10 x 10 = 600
this is the surface area
what is 873 divided by 35?!!
873 divided by 35= 24 33/35
How many distinguishable permutations are there for the word SCIENCE?
Answer:
Step-by-step explanation:
= 7*6*5*4*3*2*1 = 5040.
Step-by-step explanation:
Step-by-step explanation:
= 7*6*5*4*3*2*1 = 5040.
#4 please help! One question seen in pic
Answer:
B. (x - 2)(x + 2)
Step-by-step explanation:
The answer is b. If you have (x + a)(x - a), the variables will cancel each other out. For example, if we take the answer (x - 2)(x + 2) and factor it out, we get:
x² - 2x + 2x - 4
Then it becomes just:
x² - 4 because the x to the power of one has been canceled. This proves his theory wrong.
Answer:
B
Step-by-step explanation:
I think I think I think I think
There are 2 hikers, one of them wanders off the trail. How many hikers are left?
PLZ HELP!!!!!
What is the median of the data set?
History Test Scores
50 8
65 6 8 9
70 3 5 8
80 6 7 7 7
9 0 1 3 5 6 8 99
50 = 50 points
50
0 87
49
86.5
86
Helppp!!
Answer:
86
Step-by-step explanation:
Median : the middle value of a set of data arranged in numerical order.
To solve: Place number in order from least to greatest then began crossing one off at the beginning of the data set and one at the end. (like your playing the game one for you , and one for me) The median will be the last number left without a match in the middle.
Answer:
The answer is 86 beacause
Step-by-step explanation:
I did the lesson so its correct if you think its wrong then i dont care at all or if u think i stole answer i really dont care