Answer:
0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they have a birthday in May, or they do not. The probability of a person having a birthday in May is independent of any other person. 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.
Probability of a person being in May:
May has 31 days in a year of 365. So
[tex]p = \frac{31}{365} = 0.0849[/tex]
Group of 20 friends:
This means that [tex]n = 20[/tex]
What is the probability that at the May celebration, exactly two members of the group have May birthdays?
This is P(X = 2).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{20,2}.(0.0849)^{2}.(0.9151)^{18} = 0.2773[/tex]
0.2773 = 27.73% probability that at the May celebration, exactly two members of the group have May birthdays
Help i'll give you brainlyest
Answer:
can I see the third one, like can I see the full page because I can't see the rest
What is the solutions to this system of equations?
x+ 2y - z = 3
2x - y + 2z = 6
x- 3y + 3z = 4
____________
A) (-6,7,14)
B) (2,-3,5)
C) infinite solutions
D) no solutions
Answer:
D- No solution
Step-by-step explanation:
Isolate x for x+2y−z=3: x=3−2y+z
then Simplify
then Isolate y for −5y+4z+6=6: y= 4z 5 −5y+4z+6=6 Subtract 6 from both sides −5y+4z+6−6=6−6 Simplify −5y+4z=0 Subtract 4z from both sides −5y+4z−4z=0−4z Simplify −5y=−4z Divide both sides by −5 −5y −5 = −4z −5 Simplify y= 4z 5
lastly simply.
mobymax help 11 points math
Answer:
10/15 + 3/15 = 13/15
Step-by-step explanation:
10 POINTS FOR CORRECT ANSWER PLEASE HELP ME
Mila invested $9,300 in an account paying an interest rate of 4\tfrac{7}{8}4
8
7
% compounded monthly. Carter invested $9,300 in an account paying an interest rate of 4\tfrac{3}{4}4
4
3
% compounded continuously. After 7 years, how much more money would Mila have in her account than Carter, to the nearest dollar?
Answer: 105 (rounded to the nearest dollar)
Step-by-step explanation:
It’s correct on delta match
STANKY PLSS HELP ME ❤️
Answer:
PQS is a triangle
Step-by-step explanation:
Area of triangle= L×B
So,
20×7
140cm²
Answer :70
Step-by-step explanation:
Area formula: a times b/ 2
PQS: 7 times 20/ 2= 70
Your answer is 70
I hope this helps and may God bless you. have a nice day, bye!
What is always true about the net of a prism?
It contains 0 triangles.
It contains 0 or 2 triangles.
O It contains 3 or more triangles.
o It contains 4 or more triangles.
Answer:
B: It contains 0 or 2 triangles
Step-by-step explanation:
Just took the unit test review on edge and this was the answer
2021
Answer:
it is b the other person is right just did the unit test review
I I
Step-by-step explanation: OO
Find the area of this circle. Use 3.14 for .
82 mm
The area of the circle is about mm2.
(Round to the nearest hundredth as needed.
Answer:
Step-by-step explanation:
What is 82 mm? The radius or diameter?
If the radius is 82 mm, the area is π82² ≅ 21,113.36 mm².
If the diameter is 82 mm, the radius is 41 mm and the area is π41² ≅ 5,278.34 mm²
Apply the elimination method to solve the system of equations 2x + 6y = 8 and 3x + 2y = 5. Which THREE statements are correct?
Answer:E,D,A
Step-by-step explanation:
GIVING EVERYTHING IF CORRECT. NO MORE LINKS.
I think the answer is C
solve the equation
t^3=-343
Answer:
7
Step-by-step explanation:
t^3=7^3
t=7^3-^3
t=7
Please mark me as brainliest
Answer:
t = -7
Step-by-step explanation:
if you multiply -7 by -7, you get 49. Now if you multiply 49 times -7 you get -343
What is the range of the function y=x+8?
There are no restrictions on x. If x can be any value, then the same goes for y.
Answer: Range = ALL REAL NUMBERS.
We can also express the answer as
(-infinity, infinity).
Consider the right cones pictured below.
Which value of x would make the two cones similar?
O4
4/7 16/7 49/4
Answer:
D
Step-by-step explanation:
I just took it
Answer:
D
Step-by-step explanation:
edge 2021
What number should be added to both sides of the equation to complete the square?
x2 - 6x = 5
Answer:
Ans: 9
pls mark as brainliest!!
Step-by-step explanation:
Completing the square is done as follows:
1. Write the equation in a way that the constants are in the right side while the terms with x are on the left.
x^2 – 6x = 5
2. Make sure that the coefficient of the x^2 term is 1.
x^2 – 6x = 5
3. Adding a term to both sides that will complete the square in the left side. This is done by dividing the coefficient of the x term by 2 and squaring it. Note: The same amount should be added to the right side to balance the equation.
x^2 – 6x + 9 = 5 + 9
(x-3)^2 = 14
Therefore, 9 should be added to both sides to complete the square.
What is the simplified value of the expression below?
Answer:
I dont know the experssion but I will give you steps to figure it out!
Step-by-step explanation:
Before you evaluate an algebraic expression, you need to simplify it. This will make all your calculations much easier. Here are the basic steps to follow to simplify an algebraic expression:
remove parentheses by multiplying factors
use exponent rules to remove parentheses in terms with exponents
combine like terms by adding coefficients
combine the constants
When simplifying an expression, the first thing to look for is whether you can clear any parentheses. Often, you can use the distributive property to clear parentheses, by multiplying the factors times the terms inside the parentheses. In this expression, we can use the distributive property to get rid of the first two sets of parentheses.
Now we can get rid of the parentheses in the term with the exponents by using the exponent rules we learned earlier. When a term with an exponent is raised to a power, we multiply the exponents For example, (x2)2 becomes x4.
The next step in simplifying is to look for like terms and combine them. The terms 5x and 15x are like terms, because they have the same variable raised to the same power
Finally, we look for any constants that we can combine.
Now our expression is simplified. Just one more thing -- usually we write an algebraic expression in a certain order. We start with the terms that have the largest exponents and work our way down to the constants. Using the commutative property of addition, we can rearrange the terms and put this expression in correct order, like this.
Answer step by step
please
Answer:
the answer is D, because 30/2 is 15.
Answer:
15
Step-by-step explanation:
Angle CDA = 1/2 ×angle ABC
because the angle at the center of the circle is twice of the angle at the circumference.
so angleCDA = 1/2 ×30 = 15 degrees
PS: WILL GIVE BRANLIEST
Select ALL the ratios that are equivalent to 16 : 6
a. 3 to 8
b. 32 : 12
c. 4 to 2
d. 8 to 3
Question 3 options:
a & b
b & c
b & d
a & c
I'm pretty sure it a 3 to 8 and 32 to 12
Answer:
The answer will be b & c.
The answer will be e B and C that is 32:12 and 4 to 2. Because it is equivalent to 16: 6.
Need help!! algebra!!!
Part A: The area of a square is (4a2 − 20a + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (9a2 − 16b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answer:
Step-by-step explanation:
HELP ME 2 PICTURES BTW 50 POINTS
Answer:
7 and 9 are alternate interior angles
Step-by-step explanation:
4 and 11 are corresponding angles
1 and 7 are vertical angles
A university investigation was conducted to determine whether women and men complete medical school in significantly different amounts of time, on the average. Two independent random samples were selected and the following summary information concerning times to completion of medical school computed:
Women Men
Sample size 90 100
Sample mean 8.4 years 8.5 years
Sample std 0.6 year 0.5 years
Required:
Perform the appropriate test to see if there is a significant difference in time to completion of medical school between women and men.
Answer:
Following are the responses to the given question:
Step-by-step explanation:
[tex]Null \ H_{yp}: \mu_{men} = \mu_{women}\\\\Alt \ Hyp: \mu_{men} \neq \mu_{women}\\\\Std\ Error\ (SE) = \sqrt{(\frac{s_1^2}{n_1}) + (\frac{s_2^2}{n_2})} \\\\[/tex]
[tex]= \sqrt{(\frac{0.62}{90}) + (\frac{0.52}{100})} \\\\= 0.08[/tex]
[tex]test\ statistic \ t = \frac{(x_1 - x_2)}{SE} = \frac{(8.4 - 8.5)}{0.08} = -1.25[/tex]
Degrees of freedom
[tex]= \frac{(\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2})^2}{\frac{(\frac{s_1^2}{n_1})^2}{(n_1 - 1)}} + \frac{(\frac{s_2^2}{n_2)^2}}{(n_2 - 1)} \\\\= 174[/tex]
Considering a degree of 5% importance
T for df critical value = 174 and sig level = 0.05 is +1.973
Let area of refusal shall be t < -1.973 or t > +1.973
Because statistical tests weren't in the refusal zone, they may not deny that zero but find that perhaps the argument how both women and men undergo med school is considerably different lengths of time is not significantly supported.
Need help if you can answer through would be great thank you
Step-by-step explanation:
I don't really know the answer 'cause
check the answer in aswer sheet
There are 20 students in Lynn's class. 12 of the students are in choir and 8 are in band. Write a fraction, in simplest form, to represent the part of the class that is in choir.
Answer:
3/5
Step-by-step explanation:
i♀️♀️
Answer:
3/5
Step-by-step explanation:
students in choir - 12
total number of students - 20
students in choir
-------------------------
total no. of students
12
----
20
3
--
5
Halloween candy goes on sale 25% off the day after Halloween. If a bag of candy is priced $10, what is the price the day after Halloween?
Drag and drop number tiles into the boxes to show the median, first quartile (Q1) and third quartile (Q3)
of the data on the dot plot.
Answer:
Median = 5
Q1 = 2
Q3 = 10
Step-by-step explanation:
✔️On the dot plot, each dot represents a data point.
The median is the middle data point which is the 6th data point on the dot plot.
This:
Median = 5 (6th data point)
✔️Q1 is the middle value of the lower set of data points before the median = the 3rd data point
The 3rd data point is 2
Therefore,
Q1 = 2
✔️Q3 is the middle value of the upper set of data points after the median = the 9th data point.
The 9th data point = 10
Therefore,
Q3 = 10
Answer:9
Step-by-step explanation:
please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
7*3=21
21*2=42
42 units^3
Step-by-step explanation:
brainliest
What is the slope of this line (0,8), (6,-4)
Answer:
-2
Step-by-step explanation:
formula: (-4)-8/6-0 or 8-(-4)/0-6
=-12/6
=-2 (hope this helps)
Find the lateral area of the cylinder.
Answer:
[tex]A=440\ m^2[/tex]
Step-by-step explanation:
Given that,
The diameter of the cylinder, d = 10 m
Hight, h = 14 m
Radius, r = d/2 = 5 m
We need to find the lateral area of the cylinder. The formula for the lateral area of the cylinder is given by :
[tex]A=2\pi rh\\\\A=2\times \dfrac{22}{7} \times 5\times 14\\A=440\ m^2[/tex]
So, the lateral surface area of the cylinder is equal to [tex]440\ m^2[/tex].
Can someone please tell 5% as a fraction
Answer:
5/100 = 1/20
Step-by-step explanation:
5% = .05 = 5/100 = 1/20
Please help me! It’s due soon!
Which of these describes the transformation of ∆XYZ to ∆X᾿Y᾿Z᾿?
9514 1404 393
Answer:
A. translation 8 left
Step-by-step explanation:
Points X'Y'Z' are in the same clockwise order as points XYZ, so no reflection is involved.
Point X' at -6 is 8 units left of point X at 2. ΔXYZ has been translated left 8 units to make ΔX'Y'Z'.
Answer:
a is the answer.
Step-by-step explanation: