Answer:
P(X > 4) = 0.8059
Step-by-step explanation:
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.
In this question, we have that:
[tex]n = 8, p = 0.7[/tex]
We want:
[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{8,5}.(0.7)^{5}.(0.3)^{3} = 0.2541[/tex]
[tex]P(X = 6) = C_{8,6}.(0.7)^{6}.(0.3)^{2} = 0.2965[/tex]
[tex]P(X = 7) = C_{8,7}.(0.7)^{7}.(0.3)^{1} = 0.1977[/tex]
[tex]P(X = 8) = C_{8,8}.(0.7)^{8}.(0.3)^{0} = 0.0576[/tex]
Then
[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) = 0.2541 + 0.2965 + 0.1977 + 0.0576 = 0.8059[/tex]
So
P(X > 4) = 0.8059
Triangle DIG is reflected across the l-axis.
O (x, y) --> (-x, y)
O (x, y) --> (-X, -y)
(x, y) --> (y,x)
O (x,y) --> (x,-))
helpp its for a timed assignment
there is not such thing as an I axis, but I will show you what happens for both x and y axis so you can fill out the assignment with the correct information.
IF you meant flipping over the x axis, then the dot will go from top to bottom, bottom to up, the x position won't change only its height(y position)
This meant that for reflecting across the x axis, (x,y)->(x,-y)
For y axis its the opposite, just flipping to the side.
This meant that for reflecting across the y axis, (x,y)->(-x,y)
Mrs.Martin placed her class into five groups. If each group has 6 people. how many students are in the class
Answer:
30
Step-by-step explanation:
5x6=30
please answer all the questions for 25 points and for brainliest if not answer correctly will report
Answer:
1) 56.52 in²
2) 565.2 ft²
3) 235.5yd²
4) 898.04 ft²
5) 942 yd²
6) 75.36 in²
Step-by-step explanation:
SA= πrS + πr²
1) (3.14)(2)(7) + (3.14)(2²) = 56.52 in²
2) (3.14)(9)(11) + (3.14)(9²) = 565.2 ft²
3) (3.14)(5)(10) + (3.14)(5²) = 235.5yd²
4) (3.14)(11)(15) + (3.14)(11²) = 898.04 ft²
5) (3.14)(10)(20) + (3.14)(10²) = 942 yd²
S =5 because 5² = 3² + 4²
6) (3.14)(3)(5) + (3.14)(3²) = 75.36 in²
it a tets please help it due today
The expression (g^2)^4 is equivalent to g^m. What is the value of m?
^ means exponents
Answer:
m = 8
Step-by-step explanation:
4 x 2
you just have to multiply exponents
Come I need answers
please help NO LINKS I WILL REPORT YOU ( i will also mark brainliest)
Answer:
6.96 is the area of this triangle! So, option A is correct.
Hope this helps and please mark brainliest!
Item 9
Find the surface area of the prism.
Answer: S = 2(lw + lh + wh)
Step-by-step explanation: Use this formula to find the total surface area of a prism.
PLS HELP I WILL REWARD BRAINIEST
Answer:
1/3 divided by 4
Step-by-step explanation:
Because you start off with 1/3 and then you split it into 4, 1/12's and 4*1/12 is equal to 1/3
So the answer is 1/3 divided by 4
8th grade math, pls explain if you can.
Answer:
137.44 units^3
Step-by-step explanation:
“What is the gradient of the graph shown?”
someone please help I don’t understand how to do this.
Answer:
Step-by-step explanation:
It is easy to see that (-2, 0) and (0, -4) are points on the line.
gradient = (difference of y-coordinates)/(difference of x-coordinates) = (0-(-4))/(-2-0) = 4/(-2) = -2
In a class of 100 students 45 students read physics, 52 students read Chemistry and 15 students read both the subject. Find the number of people who student who study neither physics nor chemistry
Answer:
12
Step-by-step explanation:
First,
Add 45+52+15
Then the answer will be 112
Then -(minus) from 100
Answer:
18 students
Step-by-step explanation:
45 - 15 = 30 students only read physics
52 - 15 = 37 students only read chemistry
15 students read both
add all of them:
30 + 37 + 15 = 82
subtract the sum from 100
100 - 82 = 18
18 students doesn't study neither
here's my work please help me
Answer: The answer is C
Step-by-step explanation:
Answer:
the answer is C.
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = ln(x^2 + 7x + 14), [−4, 1]
Find the stationary points of the function (where the derivative is zero):
f(x) = ln(x ² + 7x + 14)
→ f '(x) = (2x + 7) / (x ² + 7x + 14)
The denominator is always positive, since
x ² + 7x + 14 = (x + 7/2)² + 7/4 ≥ 7/4 > 0
so f '(x) = 0 when
2x + 7 = 0 → x = -7/2
at which point f (-7/2) = ln(203/4) ≈ 3.927.
Also check the endpoints of the given domain:
f (-4) = ln(2) ≈ 0.693
f (1) = ln(22) ≈ 3.091
Then on the interval [-4, 1], we have max(f ) = ln(203/4) and min(f ) = ln(2).
Pls solve this for me!! ^^
Answer:
-10
Step-by-step explanation:
[tex]5(a-b)\\\\5(-4-(-2))\\\\5(-4+2)\\\\5(-2)\\\\\boxed{-10}[/tex]
Hope this helps!
Identify the distance between points (−1,7,10) and (6,−3,2), and identify the midpoint of the segment for which these are the endpoints. Round to the nearest tenth, if necessary.
Answer:
d ≈ 14.6 units; M (2.5, 2, 6)
Step-by-step explanation:
Using the distance formula for 3-D dimensions, you get the √(213) which equals 14.6
Then, using the midpoint formula for 3-D dimensions, you find the coordinates 2.5 for x, 2 for y, and 6 for z.
After being rejected for employment, Kim Kelly learns that the Bellevue Credit Company has hired only three women among the last 21 new employees. She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women. Help her address the charge of gender discrimination by finding the probability of getting three or fewer women when 21 people are hired, assuming that there is no discrimination based on gender.
Does the resulting probability really support such a charge?
Answer:
0.00071 = 0.71% probability of getting three or fewer women when 21 people are hired. This probability, which is very small, supports the charge of gender discrimination.
Step-by-step explanation:
For each employee hired, the are only two possible outcomes. Either it is a man, or it is a woman. The probability of a person hired being a man or a woman is independent of any other person. 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.
21 new employees.
This means that [tex]n = 21[/tex]
She also learns that the pool of applicants is very large, with an approximately equal number of qualified men as qualified women.
This means that [tex]p = 0.5[/tex]
Help her address the charge of gender discrimination by finding the probability of getting three or fewer women when 21 people are hired.
This is
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{21,0}.(0.5)^{0}.(0.5)^{21} \approx 0[/tex]
[tex]P(X = 1) = C_{21,1}.(0.5)^{1}.(0.5)^{20} = 0.00001[/tex]
[tex]P(X = 2) = C_{21,2}.(0.5)^{2}.(0.5)^{19} = 0.0001[/tex]
[tex]P(X = 3) = C_{21,3}.(0.5)^{3}.(0.5)^{18} = 0.0006[/tex]
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0.00001 + 0.0001 + 0.0006 = 0.00071[/tex]
0.00071 = 0.71% probability of getting three or fewer women when 21 people are hired. This probability, which is very small, supports the charge of gender discrimination.
Use the figure to find the Volume.
Answer:
12π un^3
Step-by-step explanation:
Use the fomula: V= πr2 h
The radius is 2 and the height is 3.
I really don't know how to explain this but I can try, with a self- explanatory steps including the formula .
The work is in the screen shot goodluck.
Hope this helped!
Stay Safe!
Не
На спортивных соревнованиях по Плаванию за первое
место боролись Вера, Ксюша, Алина
Алина и Надя. Коша
заняла
Второе место, Надя не заняла ни первое,
НИ второе место, Вера заняла четвёртое место, Алина
Не заняла первое место.
Кто из девочек стал победителем соревнований?
Answer:
I don't know the answer
Step-by-step explanation:
rkvjtjxkfkekzdk kdkvkf
In AIJK, i = 270 cm, j = 170 cm and _K=122°. Find the area of AIJK, to the
nearest square centimeter.
9514 1404 393
Answer:
19,463 cm²
Step-by-step explanation:
The area is given by the formula ...
A = (1/2)ij·sin(K)
Filling in the values, we find the area to be ...
A = (1/2)(270 cm)(170 cm)·sin(122°) ≈ 19,463 cm²
Which equation represents "The sum of a number n and 8, subtracted from 20, is 16."
A. n + 8-20 = 16
B. 8n - 20 = 16
C. 20 - (n + 8) = 16
D. 20- 8n = 16
A cube has an edge length of 12 meters. What is its volume, in cubic meters?
meters
3
Answer:
1728
Step-by-step explanation:
if its a cube then all sides are the same length. you need to times to base width and height. so it will be 12 times 12 times 12 which is 1728.
125 is what percent of 200?
Answer:
125 is 62.5% of 200, hope this helps :)
At what point do the line x+y=10 and y=2x+1 intercept
Answer:
do you have a picture of the question
Answer:
(3,7)
Step-by-step explanation:
Use a system of equations to solve for x and y which would be the only points where the two lines intersect
x+y=10
y=2x+1
since y=2x+1 you can put 2x+1 for y
so x+2x+1=10
3x+1=10
3x=9
x=3
put that back into x+y=10
3+y=10
y=7
So the only point where those two lines intersect is (3,7)
Hope that helps :)
Please give brainliest
Help please! 50 points! Troll answers WILL be reported
Answer:
Think its B. but if not it should be E.
Step-by-step explanation:
Lesson 10 Problem Set 5•3
FONY OF UNITS
3. Darren bought some paint. He used 2 gallons painting his living room. After that, he had 3 - gallons left.
How much paint did he buy?
PLS HELP
Answer:
I think 5 gallon painting
Tonys birthday is 20 days befor anns anns birthday is 7 days after vics vics birthday is on the 20th when is tonnys birthday
Answer:
the 7th
Step-by-step explanation:
Answer:
the 27th
Step-by-step explanation:
Tonnys birthday is on the 27th
expand and simplify (2x + 3) (3x - 1)
Answer:
6x^2+7x−3
Step-by-step explanation:
(2x+3)(3x−1)
Apply the distributive property by multiplying each term of 2x+3 by each term of 3x−1.
6x^2−2x+9x−3
Combine −2x and 9x to get 7x.
6x^2+7x−3
Graph if needed:
3. What is 5⅕% of 325?
Answer:
20% × 325 =
(20 ÷ 100) × 325 =
(20 × 325) ÷ 100 =
6,500 ÷ 100 =
65
HURRY THIS IS REALLY IMPORTANT
Answer:\ b.
Step-by-step explanation:
Hope this helps!!