A local high school has both male and female students.
Each student either plays a sport or doesn't.
The two-way table summarizes a random sample of 70 students.
Female
Male
No sport
10
7
Sport 32 21
Let no sport be the event that a randomly chosen student (from the table) does not play a sport.
Let male be the event that a randomly chosen student (from the table) is male.
Find the following probabilities. Write your answers as decimals.
(a) P(male) = 0
(6) P(no sport and male) = 0
(c) P(no sport male) = 0
Answers
Answer:
a. P(male) = 0.4
b. P(no sport and male) = 0.1
c. Unclear question (isn't it the same as b.?)
Step-by-step explanation:
The data below is what I've worked according to, which isn't very clear from the question so the answers are only correct if this is the correct table of data;
[tex]\left[\begin{array}{ccc}&No \ Sports&Sports\\Female&10&32\\Male&7&21\end {array}\right][/tex]
a.
[tex]P(male) = \frac{7 + 21}{70} \\\\ = \frac{28}{70} \\\\ = \frac{2}{5}[/tex]
b.
Using the tree diagram in the picture;
[tex]P(no \ sport \ and \ male) = \frac{2}{5} * \frac{1}{4} \\\\ = \frac{1}{10}[/tex]
Related Questions
What is the slope of the line between the points ( 2 , 7 ) and ( 7 , 1 )?
Answers
Answer:
slope = - [tex]\frac{6}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 7 ) and (x₂, y₂ ) = (7, 1 )
m = [tex]\frac{1-7}{7-2}[/tex] = [tex]\frac{-6}{5}[/tex] = - [tex]\frac{6}{5}[/tex]
Hello there! :)
To find the slope of the line when we are given 2 points, we use the following formula:
m=[tex]\frac{y2-y1}{x2-x1}[/tex]
m=[tex]\frac{1-7}{7-2} \\\frac{-6}{5}[/tex]
So the slope is -6/5. Hope this helps!
~Just a cheerful gal
#CarryOnLearning
[tex]MysteriousNature :)[/tex]
What is the inverse of the function g(x)=
-3(x + 6)?
g-1(x) =
Answers
-2-(3(x+6)-9-(7-x)-3x
Answers
Answer:
- 24 - 5x
Step-by-step explanation:
1) Remove Parentheses
-2 - 3x - 6 - 9 - 7 + x - 3x
2) Collect like terms
( -2 - 6 - 9 - 7) + (-3x+x-3x)
3) Simplify
Ben participated in a diving competition from a platform 25 feet above the
water. Ben's height above the water in feet can be modeled by the
quadratic function f(t) = - + + 5t + 25 where t represents time in
seconds. During which time interval did the height of Ben's trajectory
increase?
=
Answers
Q1). A={1,2,3} B={2,3,4}. Find (A∩B) xA
Answers
Step-by-step explanation:
Given sets are :
A = {1, 2, 3}
B = {2, 3, 4}
AnB = {1, 2, 3} n { 2,3,4 }
AnB = {2,3}
Now
(AnB) X A
⇛ { 2,3 } X { 1 , 2, 3 }
⇛ { (2,1) , (2,2) , (2,3) , (3,1) , (3,2) , (3,3) }
(AnB) X A for the given problem is
{ (2,1) , (2,2) , (2,3) , (3,1) , (3,2) , (3,3) }
The perimeter of a regular heptagon is 21 m. How long is each side?
5 m
2 m
3 m
4 m
Answers
Answer:
3m
Step-by-step explanation:
A heptagon has 7 sides so 21÷7=3m
Answer:
3m
Step-by-step explanation:
3m X 7 is 21m
make me brainlist.
1.3.2 checkup - lessons learned
2. What is the slope of the line represented by the table of values below? How do you know?
Answers
Answer:
y=2/3x-4
Step-by-step explanation:
we can see that x goes up 1 for every 1.5y and if we start y at 0 x starts at -4 so if y is one than x has to be 2/3-4 becuase it is -4 + 2/3 for every 1 y goes up or one for every 1.5 y goes up. hope this answer was helpful.
A. What is the formula for exponential growth?
B. What does each variable mean?
Please someone help!!! It’s for my final pleaseee!!!
Answers
Answer:
A. exponential growth or decay function is a function that grows or shrinks at a constant percent growth rate. The equation can be written in the form f(x) = a(1 + r)x or f(x) = abx where b = 1 + r. ... r is the percent growth or decay rate, written as a decimal, b is the growth factor or growth multiplier.
Find the number that makes the ratio equivalent to 1:8.
9:
Answers
Answer:
Step-by-step explanation:
no i will nt help u cheat on your test
Does this graph represent a function? Why or why not?
A. No, because it fails the vertical line test.
B. Yes, because it passes the vertical line test
C. Yes becquse it has two straight lines
D. No because it is not a straight line
Answers
Answer: A. No because it fails the vertical line test
The graph does not represent function because it fails the vertical line test.
What is Function?In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
The "function" would pass the vertical line test if the two lines meet at an angle larger than 90 degrees and the base line is horizontal.
Here, the vertical line test indicates that it is invalid.
The "vertical line test" primary consideration whenever it appears in an option. In this instance, failing the vertical line test is defined as all x values having two y values.
Thus, graph does not represent function.
Learn more about Function here:
https://brainly.com/question/12954651
#SPJ2
6,600,000,000 exponential notation
Answers
Answer:
6.6 x 10^9
Step-by-step explanation:
Which of the following is a factor of
f(x) = x - 3x² - 64x - 60?
(x - 1)
(x - 3)
(x + 10)
(x+6)
Answers
Answer:
x-1
MARK ME BRAINLIEST PLSA coin is flipped 10 times. What is the probability of getting exactly 4 tails?
Answers
Answer: The probability is approximately 20.51%.
Step-by-step explanation:
which histogram helps best predict how much time until the next customer comes into the Clothes Shoppe.
Answers
Ps. - don’t forget to dm me
Scores on a recent exam followed a normal distribution and letter grades will be assigned with 15% A, 35% B, 30% C, 15% D, and 5% F. Suppose that Sue took the exam and had a standardized score of 0.85. What letter grade will Sue get?
Answers
Using the normal distribution, it is found that Sue will get a letter grade of B.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem, Sue got a grade of 0.85, hence [tex]z = 0.85[/tex].
Looking at the z-table, z = 0.85 has a p-value of 0.8023, hence she is approximately in the top 20%, which is below the top 15% but above the top 50%, hence she got a letter grade of B.A similar problem is given at https://brainly.com/question/25745464
If f(x) = 3^{2+x}-3f(x)=3
2+x
−3, what is the value of f(-4)f(−4), to the nearest hundredth (if necessary)?
Answers
To solve this function, the x is replaced with the new value (-4) This means that once simplified it turns into 3^(-2) - 3
Once simplified this value equals -2.89 when rounded
Cumulative GPA (CGPA) of a student is defined as the sum of the product of all grades multiplied by the credits of the corresponding class, divided by the sum of all credits. For instance consider a student took three courses with 3, 3, and 4 credits. Assume that the grades of this student from these courses are 4.0, 3.7, and 3.3.
The CGPA of this student is: __________
Answers
Answer:
probably about 3.5
Step-by-step explanation:
Similar Triangles
In the figure below, AB has length 6 feet, BC has length 8 feet and CD has length 7 feet.
If angles B and D are right angles, what is the length of DE rounded to the nearest tenth foot?
Answers
Answer:
5.3 ft
Step-by-step explanation:
Because CD corresponds to BC, the scale factor from triangle ABC to triangle CDE, is 7/8. Now, DE corresponds to AB, so to get DE, we must multiply the value of AB by 7/8. 6 times 7/8 is 5.25, and rounding to the nearest tenth of a foot, the value of DE is 5.3.
If a = 3 and b = 5, find a/b= option 1 = 5/3 option 2 = 3/5 option 3 = 2/5
Answers
Answer:
34
Step-by-step explanation:
yeah
Answer:
Answer is option 2 = 3/5
Step-by-step explanation:
a/b=3/5
MATH
Which equation would you use to solve the following situation? If everybody on the team scores 4 points, and the team has a total of 28 points, how many people are on the team? 7 p = 28 4 p = 28 28 - p = 4 4 + p = 28
Answers
Answer:p=7
Step-by-step explanation:4x7=28
A crate has a mass of 6kg. Using the fact that the acceleration due to gravity is g=9.8 m/s2, how much work is done in lifting the crate 3m, in Joules? Round answer to one decimal place if necessary.
Answers
Work done = force applied * distance covered
Force = mass * acceleration
Therefore, Work done = mass * acceleration * distance covered
Parameters:
mass = 6kg
acceleration = 9.8m/s2
distance = 3m
Substitution:
Work done = 6 * 9.8 * 3
Work done = 176.4J (to 1 decimal place)
darlene has a rooftop carrier for her car. She puts 5 items in the carrier
with the following weights, in pounds: 10.4, 13, 8, 112, and 15.7.
3
10
A. Write and evaluate an expression to find the total weight of the
5 items.
Answers
Answer:
159.1
Step-by-step explanation:
The expression would be 10.4+13+8+112+15.7, which equals 159.1 which is the total weight.
NEED ASAP
in a company, 65% of workers are men. if 1,995 people work for the company who aren’t men, how many worker are their in all.
Answers
Answer:
5700
Step-by-step explanation:
Assume that the total number of people working for the company is x. Since 65% of workers are men and 1,995 people working for the working are not men, then that means that 35% of the total number of people working for the company is equal 1,995.
Set up an equation: 0.35x = 1,995 and find x.
x = 5700
Which expressions have a value of 54 when v= 6? Choose all the correct answers.
A 2(v2 – 9)
B V3 = 18 + 3
C (2v)2 – 90
-
D 13 = 3 – 18
E 2(v2 – 90)
F (v + 2)2 – 10
Answers
help with this please help
Answers
Answer:
10
Step-by-step explanation:
A circle has diameter 11 cm
Pythagoras theorem
Please answer will mark BRAINELIST:)
Answers
x divide3=8 solve equation for x
Answers
Answer:
x = 24
Step-by-step explanation:
x ÷ 3 = 8
you multiply both sides by three
so it cancels out 3 and 8 × 3 = 24
so your answer is 24
hope this helps
Mrs.Peterson dropped a ball from the top of a tower. At the same time, her son, Drake, launches a rocket from a different level of the tower.
The height of the tennis ball in feet after t seconds can be represented by the quadratic function: b(t)=-t^2-2t+26.
The height of Drakes rocket after t seconds can be represented by the linear function: p(t)=-2t+10.
What are the two solutions to this system? Show your work.
Explain which solution is not reasonable in this situation.
After how many seconds do the rocket and the ball reach the same height.
Answers
9514 1404 393
Answer:
two solutions: t = -4, t = 4t = -4 is not reasonable4 secondsStep-by-step explanation:
A graphing calculator shows the two solutions to be ...
(t, h) = (-4, 18) and (4, 2)
__
The two heights will be equal when ...
p(t) = b(t)
-2t +10 = -t^2 -2t +26
t^2 -16 = 0 . . . . subtract the right side expression
(t -4)(t +4) = 0 . . . factor the difference of squares
t = 4 or -4 . . . . values of t that make the factors zero
At these times, the heights will be ...
p(t) = -2{4, -4} +10 = {-8, 8} +10 = {2, 18}
The solutions are ...
(t, height) = (-4, 18) and (4, 2).
__
We generally discount solutions for negative time, because we start counting time when the objects are launched. t = -4 is an extraneous solution.
__
The rocket and ball reach the same height after 4 seconds.
A jogger ran 13.5 miles in 3 hours.
What is the unit rate?
Answers
Answer:
Unit rate = 4.5 mph.
Step-by-step explanation:
Unit rate: 13.5/3
=> Unit rate: 4.5 mph.
Hoped this helped.
cual de estas fracciones es mayor que 2/5?explica como lo has averiguado
Answers
Answer:
33333
Step-by-step explanation: