In a school of 330 students, 85 of them are in the drama club,
200 of them are in a sports team and 60 students do drama and sports.
Find the probability that a student chosen at random isn't in the drama club
or in a sports team.
You may wish to complete the Venn diagram to help you.
E
Drama
Sports
Question Feedback
Answers
Answer:
7/22
Step-by-step explanation:
From the question given above, the following data were:
Drama n(D) = 25
Sport n(S) = 140
Both drama and sport n(DnS) = 60
Not in drama or sport n(DnS)ᶜ = 105
Total or sample space n(S) = 330
Probability of not in drama or sport P(DnS)ᶜ =?
The probability that the student chosen is not in drama or sport can be obtained as follow:
P(DnS)ᶜ = n(DnS)ᶜ / nS
P(DnS)ᶜ = 105 / 330
Express the above to its lowest terms
P(DnS)ᶜ = 7/22
Therefore, the probability that the student chosen is not in drama or sport is 7/22
Related Questions
Do y'all play warlock, hunter, or titan?
Answers
Answer:
I would probably choose warlock if my computer could handle it ;w;
PLEASE ANSWER THESE QUESTIONS CAREFULLY thank you so much
Answers
Answer:
Positive slope- line B
negative y-intercept- line C
slope of 0- line C
Step-by-step explanation:
Positive slope- line B This is because the line is angled upward on the right side
negative y-intercept- line C- the line is below the (0,0) mark
slope of 0- line C This is because the line isn’t angle upward nor downward.
The speed of the current in a creek is 5 mph. A person clan kayak 3 mi upstream in the same time that it takes him to kayak 13 mi downstream. What is the speed
the person's kayak in still water?
The speed of the person's kayak in still water is
Answers
Answer:
8
Step-by-step explanation:
0) the basic formula is: L=v*t, where L - distance, v - speed/velocity; t - time;
1) if the person's speed in still water is 'v' and the speed of water is 5 (according to the condition), then the upstream speed is 'v-5' and the downstream speed is 'v+5';
2) according to the condition the upstream time and the downstream time are the same, it means t₁=t₂=t, where t₁=upstream time and t₂=downstream time;
3) according to the items above it is possible to make up the equation of the upstream travel: t(v-5)=3; ⇒ t=3/(v-5);
4) according to the items above it is possible to make up the equation of the downstream travel: t(v+5)=13; ⇒ t=13/(v+5);
5) if t=3/(v-5) and t=13/(v+5), then
[tex]\frac{3}{v-5} =\frac{13}{v+5}; \ => \ v=8.[/tex]
What is the multiplicative inverse of y?
Answers
Answer:
The multiplicative inverse of y is [tex]\frac{1}{y}[/tex].
Step-by-step explanation:
Multiplicative inverse implies a value that you would multiply with the given value so as to give 1.
Let the multiplicative inverse of y be represented by a, so that;
a x y = 1
ay = 1
divide both sides by y to have,
a = [tex]\frac{1}{y}[/tex]
Thus, the multiplicative inverse of y is [tex]\frac{1}{y}[/tex].
This is applicable to any given value. Examples:
i. Given 2, the multiplicative inverse is [tex]\frac{1}{2}[/tex].
⇒ 2 x [tex]\frac{1}{2}[/tex] = 1
ii. What is the multiplicative inverse of 5?
The required answer is [tex]\frac{1}{5}[/tex].
Luis is shopping for gifts. Mugs are on sale for $4 off the regular price,p. Luis vuys 6 muga. H epays $54. What is the regular price of the mug? Show your work.
Answers
Answer:
13
Step-by-step explanation:
Divide the total amount he paid by the amount of mugs he bought to find out how much each mug cost.
54 ÷ 6 = $9
Each mug is nine dollars, INCLUDING THE SALE which is $4 off.
Add $4 to $9 to find the regular price
$4 + $9 = 13
The regular price of the mugs based on the given equation will be $13.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
More than one variable may be present inside a linear equation.
Suppose the regular price is x.
Selling price = $4 off of x = x - 4
Number of mugs buys = 6
Paid = $54
54= 6 (x - 4)
(x - 4) = 9
x = 13
Hence "The regular price of the mugs based on the given equation will be $13".
For more about the equation,
brainly.com/question/10413253
#SPJ2
Jaleah needs some string to make bracelets. She needs
enough string to make 32 bracelets. Each bracelet takes 9 3/4
inches of string. How much string will Jaleah need to make
the bracelets?
Answers
Answer:
312
Step-by-step explanation:
3/4 × 32 = 24
9 × 32 = 288
288 +24=312
You find that you receive on average about 3 pieces of junk mail per week. Find the probability that the number of pieces of junk mail you receive next week will be (a) none at all. (b) exactly four. (c) no more than two. (d) more than two g
Answers
Answer:
a) 0.0498 = 4.98% probability that the number of pieces of junk mail you receive next week will be none at all.
b) 0.1680 = 16.80% probability that the number of pieces of junk mail you receive next week will be exactly four.
c) 0.4232 = 42.32% probability that the number of pieces of junk mail you receive next week will be no more than two.
d) 0.5768 = 57.68% probability that the number of pieces of junk mail you receive next week will be more than two.
Step-by-step explanation:
We have only the mean, which means that we use the Poisson distribution to solve this question.
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
You find that you receive on average about 3 pieces of junk mail per week.
This means that [tex]\mu = 3[/tex]
(a) none at all.
This is P(X = 0).
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498[/tex]
0.0498 = 4.98% probability that the number of pieces of junk mail you receive next week will be none at all.
(b) exactly four.
This is P(X = 4).
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 4) = \frac{e^{-3}*3^{4}}{(4)!} = 0.1680[/tex]
0.1680 = 16.80% probability that the number of pieces of junk mail you receive next week will be exactly four.
(c) no more than two.
This is:
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498[/tex]
[tex]P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494[/tex]
[tex]P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.224[/tex]
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0498 + 0.1494 + 0.224 = 0.4232[/tex]
0.4232 = 42.32% probability that the number of pieces of junk mail you receive next week will be no more than two.
(d) more than two
[tex]P(X > 2) = 1 - P(X \leq 2) = 1 - 0.4232 = 0.5768[/tex]
0.5768 = 57.68% probability that the number of pieces of junk mail you receive next week will be more than two.
A fruit stand sells bags of apples and tangerines. • Each bag has 3 fewer apples than tangerines. 2 • In each bag, the number of apples is the number of tangerines. Let A represent the number of apples in each bag and T represent the number of tangerines in each bag. Which system of equations can be used to solve for A and T?
Answers
Answer: The system we need to use is:
A = T - 3
A = (2/3)*T
Solving this, we get:
In a bag, there are 9 tangerines and 6 apples.
Step-by-step explanation:
The question seems to be incomplete, by a quick online search i've found the complete question:
"A fruit stand sells bags of apples and tangerines. • Each bag has 3 fewer apples than tangerines. 2 • In each bag, the number of apples is 2/3 the number of tangerines..."
We know that:
A = number of apples in one bag
T = number of tangerines in one bag
We also know that:
"Each bag has 3 fewer apples than tangerines"
This can be written as:
A = T - 3
"In each bag, the number of apples is 2/3 the number of tangerines"
This can be written as:
A = (2/3)*T
Then we have a system of equations:
A = T - 3
A = (2/3)*T
This is the system of equations that can be used to solve for A and T, now let's solve this.
Because A means the same thing in both equations, then we can write:
A = T - 3 = A = (2/3)*T
Then:
T - 3 = (2/3)*T
We can solve this for T.
T - 3 = (2/3)*T
T - (2/3)*T = 3
(1 - 2/3)*T = 3
(1/3)*T = 3
T = 3/(1/3) = 3*3 = 9
This means that in each bag we have 9 tangerines in a bag.
Now we can use any of the two equations in the system to find the value of A.
I will use the first one:
A = T - 3
Now let's replace T by 9, then:
A = 9 - 3 = 6
A = 6
So there are 6 apples in a bag.
plss answer Part A #1 abc . i will give brainliest. late answers accepted
Answers
Answer:
a. (3x² - 2x - 5) units²
b. (x² - x) units²
c. (2x² - x - 5) units²
Step-by-step explanation:
a. Area of the frame = L*W
L = (x + 1) units
W = (3x - 5) units
Area of the frame = (x + 1)(3x - 5)
Apply distributive property
x(3x - 5) +1(3x - 5)
3x² - 5x + 3x - 5
Area of the frame = (3x² - 2x - 5) units²
b. Area of the picture = L*W
L = x units
W = (x - 1) units
Area of the picture = x(x - 1)
Apply distributive property
= x² - x
Area of picture = (x² - x) units²
c. Area of the frame that surrounds the picture = area of frame - area of picture
= (3x² - 2x - 5) - (x² - x)
= 3x² - 2x - 5 - x² + x (distributive property)
Add like terms
= 3x² - x² - 2x + x - 5
= 2x² - x - 5
Area of the frame that surrounds the picture = (2x² - x - 5) units²
reflected over the x-axis, then translated 6
units left
Answers
to reflect over x-axis change it to (x,-y)
*basically change the sign of y*
to translate 6 units left (x-6,y)
* basically subtract 6 from x
So your new point should be (x-6,-y)
If I'm building a dog house that is 3ft by 2ft, and I only want to line the floor with tile, and the tiles are 1.5 square feet each, how many do I need?
Answers
Answer:
4
Step-by-step explanation:
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answers
Answer:
Step-by-step explanation:
Yes
Answer:
it's no
Step-by-step explanation:
6 = 5(2) - 4
7 = -1/2(2) + 8
they don't meet at (2,6)
How do scientists identify tectonically active regions
Answers
Answer: plate tectonics
Step-by-step explanation:Most earthquakes and volcanic eruptions do not strike randomly but occur in specific areas, such as along plate boundaries. One such area is the circum-Pacific Ring of Fire, where the Pacific Plate meets many surrounding plates. The Ring of Fire is the most seismically and volcanically active zone in the world.
Earthquakes
Find the sum or difference. Write your answer in simplest form
3/8 + 1/4
Answers
Answer:
5/8
Step-by-step explanation:
5/8 which is in simplest form
Answer:
5/8
Step-by-step explanation:
3/8+1/4 = 3/8+2/8 = 5/8
PLEASE HELP‼️
A X = 4
B X = 10
C X = 3
D X = 9
Answers
Help plz....................
Answers
So,
XY=WZ
3a-4=a+2
2a=6
a=3
XW=YZ
b+1=2b
b=1
HELP! I am really confused and need someone to explain this to me!!
Draw two symmetric (not skewed) with the same means but different standard deviations. Explain the similarities or differences in means and standard deviations.
Answers
Answer: See the diagram below
There are infinitely many ways to do this. So there isn't one set answer. However, all of the answers have these properties in common.
The center peak points are at the same locationOne distribution is more narrow than the other, or one is more wider than the other.In the diagram below, I've made distribution B wider and more spread out compared to distribution A. Distribution B has a higher standard deviation. The larger the standard deviation is, the more spread out the data values will be. Standard deviation is always some positive number.
Both distributions are centered at 0, which is the mean. You could change the center to whatever you want, but make sure both distributions have this same center value.
As the diagram shows, each curve is symmetric about the center point. The left half can be reflected over the center line to get the right half, and vice versa. The curves peak at the center because this is where the majority of the data values are located. As you move to either end, the curve levels off to indicate not as many individuals are found here.
Russell wants to buy three ties and a belt and must spend no more than $80.00. The belt costs $28.50. If the three ties are the same price, then how much can he pay for each tie
Answers
Explanation: do you have to start by subtracting the cost of the belt from the total budget: 80-28.5= 51.5. Then you can divide the remaining money by three because he’s buying three ties: 51.5/3≈ $17.16
Answer:$17.16
Step-by-step explanation:
do you have to start by subtracting the cost of the belt from the total budget: 80-28.5= 51.5. Then you can divide the remaining money by three because he’s buying three ties: 51.5/3≈ $17.16
Levin Furniture buys a living room set with a $4,900 list price and a 50% trade discount. Freight (FOB shipping point) of $45 is not part of the list price. What is the delivered price (including freight) of the living room set, assuming a cash discount of 4/10, n/30, ROG? The invoice had an April 8 date. Levin received the goods on April 19 and paid the invoice on April 25.
Answers
Delivered price = $Answer:
Answer:Delivered price=$1,814
Step-by-step explanation
Explanation:
List Price = $4,000
Trade discount = 55%
Price after discount = $4,000 - 55% x $4000
$4000- $2,200 = $1,800
if Levin pays within 10 days he will have a discount of 2 %, which he did
Therefore 2% x $1800 = $36
Delivered price = $1800 -$36+ freight charges ( shipping)
$1800 -$36 + $50=$1814
What part of an hour passed from 4:30 P.M. to 4:45 P.M.?
Answers
Answer:
15 minutes it what we call it pretty sure its 10
Step-by-step explanation:
Answer:
15min or a quarter of an hour.
Step-by-step explanation:
Which of the following equations is the result after the first step in solving 5x – 4 = 15? A. x – 4 = 3 B. x = 2 C. 5x = 19 D. 5x = 11
Answers
Answer:
C
Step-by-step explanation:
5x-4=15
5x=15+4
5x=19
A line that includes the point (7,0) has a slope of 1. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:y=x+0
Step-by-step explanation:
A triangle has one angle that measures 81° and one that measures 37° what is the measure of the third angle
Answers
Answer:
the third angle of the triangle is 62°
62 grad
Step-by-step explanation:
Expressions can be written using a combination of numbers and letters. Those values can also be described using words. Choose ALL expressions that are correctly described in words.
which is it
Answers
Answer:
A: 3a + 9: the sum of three times a and nine
C:15b − 10: ten less than the product of fifteen and b
Step-by-step explanation:
I just answer this question in US, and I got C right but choose the wrong answer for A.
These are the right answers.
what is a turtle
[tex]2111[/tex]
Answers
How many times does the line y=-6 intersect with the circle x^2+y^2=36?
Answers
Answer:
a) The line intersects with the circle once.
b) Tangent
Step-by-step explanation:
We are given the following equation for the circle:
[tex]x^2 + y^2 = 36[/tex]
How many times does the line y=-6 intersect with the circle?
We have to find the values of x when [tex]y = -6[/tex]
So
[tex]x^2 + y^2 = 36[/tex]
[tex]x^2 + (-6)^2 = 36[/tex]
[tex]x^2 + 36 = 36[/tex]
[tex]x^2 = 0[/tex]
[tex]x = 0[/tex]
Since the line intersects the circle at one point, it is tangent to the circle.
The line intersects with the circle once.
Y- 4/9 = 2 2/3
Y= ?
What is y = ?
Answers
Step by step:
X-4/9=2 2/3
2 2-3+4/9=
=2 6/9+4/9=
=3 1/9
can you please help me with this question?
Answers
Answer: 32, 25, and 13 are possible side lengths.
Step-by-step explanation:
The lengths of any two sides of a triangle must sum up to more than the length of the third side.
15 + 27 = 42
42 = 42
The sum has to be MORE than the third side.
15 + 27 = 42
42 > 11
15 + 11 = 26
26 < 27
The sum of two sides can't be LESS than the third side.
15 + 27 = 42
42 > 32
15 + 32 = 47
47 > 27
27 + 32 = 59
59 > 15
Possible Side Length!
15 + 27 = 42
42 < 45
Can't be less
15 + 27 = 42
42 > 25
15 + 25 = 40
40 > 27
27 + 25 = 52
52 > 15
Possible Side Length!
15 + 27 = 42
42 > 13
15 + 13 = 28
28 > 27
27 + 13 = 40
40 > 15
Possible Side Length!
This is not a multiple choice, I need your help!
Answers
Answer:
Trapezoid, E, is the correct answer.
Help please
look at the picture above
Answers
Answer:
6 square inches
Step-by-step explanation:
4x3=12
12/2=6
Answer:
It's 12 from what I can remember on finding the area.
Step-by-step explanation:
I'm pretty sure that you add them all together and don't quote me on this but if you add 5 and 4 you get 9 then add 3 and you get 12. Hope this helped!