in a school of 330 students, 85 of them are in a drama club, 200 of them are in a sports team and 60 of them do both
find the probability that the student isn't in a sports or drama club
Answers
Answer:
105/330 = 21/66 = 7/22
7/22 is the answer I think
Step-by-step explanation:
n(U) = 330
n(A) = 85
n(B) = 200
n(A n B) = 60
Now,
n(A U B) = n(A) + n(B) - n(A n B)
or, n(A U B) = 85 + 200 - 60
or, n(A U B) = 285 - 60 = 225
Now,
n(A U B) compliment = n(U) - n(A U B)
n(A U B) compliment = 330 - 225
so, n(A U B) compliment = 105
Now,
probability = 105/330
Related Questions
determine if the relationships are linear and if so are they proportional
Answers
Vertex ( 0, 2 )
Focus : ( 0, 7/4 )
Axis of symmetry : x = 0
Directrix : y = 9/4
help one of these qtns pls
Answers
Answer:
(a) 3x + 4 = 2x + 1
3x - 2x = 1 - 4
x = -3
Step-by-step explanation:
To solve for 'X', you must move all 'x' to the left-hand side, as seen through the working out. To balance it, you move all the lone numbers without (constants) to the right. Remember: when you move values across the 'equals' sign, the sign of the value you are moving becomes switched. For example, if you're moving 3x + 1 = 0 and you wish to move 1 to the other side, it becomes 3x = 0 ( - 1).
multiply .( p + q ) ( p + q )
Answers
Answer:
[tex](p + q)(p + q) \\ = {p}^{2} + pq + pq + {q}^{2} \\ = {p}^{2} + {q}^{2} + 2pq \\ = {(p + q)}^{2} \\ thankyou[/tex]
Question 1
The purpose of the sales director's study is to determine whether attending the training program caused an increase in sales
for representatives from the two regions. So the sales director collected sales data from both groups (those receiving training
and those receiving no training) for three months after the one-month program and compared the number of orders secured
by those who attended the training program with the number of orders secured by those who didn't attend.
Part A
? Question
Select the correct answer from each drop-down menu.
because a treatment
applied to the sales
The sales director conducted
representatives
This is the best statistical study for this situation because the sales director is trying to establish
Answers
Based on the above scenario, the sales director conducted an experiment.
Because a treatment was applied to the sales representatives.The the best statistical study for this situation because the sales director is trying to establish correlation.What is an experiment?An experiment is known to be a method that is et up with the aim to test a given hypothesis as a component of a scientific method.
In an experiment, there are the two key variables which are the independent and dependent variables. The independent variable is known to be a controlled or it is tested against the dependent variable.
See full question
Part A.
The sales director conducted a.) an experiment b.) a survey c.)an observational study because a treatment a.) was not b.)was applied to the sales representatives.
This is the best statistical study for this situation because the sales director is trying to establish a.) causality b.) correlation.
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why are the cars values modeled by exponential functions and not linear function?
Answers
Kimberly has 2 1/3 bottles of milk in her refrigerator.
She used 3/4 bottle in the morning and 1 1/8 bottle in the afternoon.
How many bottles of milk does Kimberly have left over?
Answers
Answer:
1 3/20
Step-by-step explanation:
Find the slope of the line y=7x–6.
Answers
Answer:
slope: 7
y-intercept: (0,−6)
Step-by-step explanation:
Mathamatics What decimal is being represented by the decimal grid?
Answers
100/100 + 100/100 + 26/100 = 2 + 0,26 = 2,26
Solve for x.
0.2x – 3.2
= 1.8
1
5
X = ?
Answers
Answer:
X = 25
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
the students in mr reed's english class are reading the same 760 page novel. Three friends alice, bob and chandra, are in the class. Alice reads a page in 20 seconds, bob reads a page in 45 seconds and chandra reads a page in 30 seconds. Before chandra and bob start reading. Alice says she wants to team read with them. If they divide the book into three sections so that each reads fore the same amount of time, how many seconds will each have to read?
Answers
Answer:
please rate and mark as brainlest.
Step-by-step explanation:
alice will have 5067 seconds,
bob will have 11400 seconds
chandra will have 7600 seconds.
first, divide 760 by 3 to get 253.33, then just multiply each value of seconds for each person to get their value, and round.
please rate and mark as brainlest.
Which of the following rational functions is graphed below?
110
- 10
10
Iho-
O
A. F(x) = 3/x
B. F(x) = х/X + 3
O c. F(x) = x-3/x
D. FX) = x/3
Answers
Hope this helped.
The given graph is of the rational number f(x)=1/x(x-3)
What is rational numbers ?All the numbers which are in the form of p/q where q is not equal to zero is known as rational numbers.
here, we have,
Which function represents the given graph :
The given graph represents the function f(x)=1/x(x-3)
Since the value of x can never be equals to zero in this function as graph is representing.
Hence option (b) f(x)=1/x(x-3) is the correct answer.
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prove that
[tex] \frac{1 }{ \sin(x) \times \cos(x) } [/tex]
equals 2csc2x
Answers
Answer:
See below for proof
Step-by-step explanation:
[tex]2csc(2x)\\\\2[\frac{1}{sin(2x)}]\\ \\2[\frac{1}{2sin(x)cos(x)}]\\ \\\frac{2}{2sin(x)cos(x)}\\ \\\frac{1}{sin(x)cos(x)}[/tex]
Thus, the identity is proven
Assume that the following data were generated using a valid and appropriate methodology. XYZ Data Analytics, Inc. Received properly completed surveys from 523 members of the target population for a new product. One hundred seventy nine of those respondents indicated they would buy the new product at the proposed price
Answers
Using the z-distribution, as we are working with a proportion, the 95% confidence interval for the proportion of consumers who would buy the product at it's proposed price is (0.3016, 0.3830).
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.
179 out of 523 members indicated they would buy the new product at the proposed price, hence:
[tex]\pi = \frac{179}{523} = 0.3423[/tex]
Then the bounds of the interval are found as follows:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3423 - 1.96\sqrt{\frac{0.3423(0.6577)}{523}} = 0.3016[/tex]
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.3423 + 1.96\sqrt{\frac{0.3423(0.6577)}{523}} = 0.3830[/tex]
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Find A and the reason
Answers
We see that Triangle ABC is an isosceles triangle which means:
Sides BA and BC are equal in lengthAngle BAC and BCA are equalWe see that Angle BCD and Angle BCA are on a straight line, which means that both of the angles' measures are equal to 180 degrees
--> in equation form:
Angle BCD + Angle BCA = 180
118 + Angle BCA = 180
Angle BCA = 62 degrees
Since Angle BCA and BAC are equal, then Angle BAC or Angle A in this case is 62 degrees
Hope that helps!
b= c= Please help asap
Answers
and c = 160°
b is equal to the given angle, b = 20°
c is 180 - 20 = 160°
f(x)
-6
Which is a possible turning point for the continuous
function f(x)?
-4
Х
-4
-3
-2
-1
0
1
2
ООО
(-3, 4)
O (-2,-1)
(0, -5)
(1, -8)
-1
-2
-5
-8
-16
Answers
Answer:
-5
Step-by-step explanation:
because 6-1=-5 therefore the is -5
The possible turning point for the continuous function f(x) is (-2, -1)
What is the turning point of a function?A stationary point is called a turning point if the derivative changes sign (from positive to negative, or vice versa) at that point.
There are two types of turning point:
A local maximum, the largest value of the function in the local region. A local minimum, the smallest value of the function in the local region.
Given are the coordinates of a function,
We need to find the turning point of the same,
Since we know that the function of the graph is continuous, then (-2, -1) is the most likely turning point because at this point the function stops increasing and starts decreasing.
Hence, the possible turning point for the continuous function f(x) is (-2, -1)
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The complete question is attached
1
2. Four friends are on a boating excursion on the Gulf of Mexico. One is parasailing in the air, above
sea level. Two are scuba diving in the water, below sea level. One is swimming on the surface, at
sea level.
Which integer represents the elevation of the friend who is swimming on the surface?
A.-2
B. O
C. 1
D.4
Answers
Explanation: at sea level is 0, below sea level would be a negative such as -2, and above sea level is any number above zero, such as 2.
The integer that represents the elevation of the friend who is swimming on the surface is 0.
What are integers?An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion. Integers include things like -5, 0, 1, 5, 8, 97, and 3,043. Z is a set of integers that consists of the following:
Positive Numbers: If a number is greater than zero, it is considered positive. For instance, 1, 2, 3, etc.Negative numbers are those that are less than zero. For instance: 1, 2, 3, etc.Zero is described as being neither a positive nor a negative number. A whole number, that is.Given:
Two are scuba diving in the water, below sea level. One is swimming on the surface, at sea level.
We know that the the region below sea level represented by negative integers and the region above sea level represented by positive integers.
Thus, if the scuba driver is on the surface then it neither negative nor positive.
So, it would be represented by zero.
Hence, the integer that represents the elevation of the friend who is swimming on the surface is 0.
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What is the length of the hypotenuse of the triangle?
Triangle A B C. Side A C is 7 feet and side C B is 4 feet. Hypotenuse A B is unknown.
StartRoot 22 EndRoot ft
StartRoot 33 EndRoot ft
StartRoot 57 EndRoot ft
StartRoot 65 EndRoot ft
Answers
Answer:
The last answer [tex]\sqrt{65}[/tex]
Step-by-step explanation:
[tex]7^2+4^2 = 65[/tex]
The formula to find it is [tex]a^2+b^2=c^2[/tex]
so [tex]\sqrt{65}[/tex] is correct
Answer:
√65 ft (Option D)⠀
Step-by-step explanation:
This is Right Angled Triangle.⠀
We'll solve this using the Pythagorean Theorem.
⠀
AC = 7ft which is the Base. BC = 4 ft which is the Perpendicular. AB is the Hypotenuse.
⠀
We know that,
[tex]{ \longrightarrow \pmb{\qquad \: (AB) {}^{2} = (AC) {}^{2} + ( BC) {}^{2}}}[/tex]
⠀
[tex]{ \longrightarrow \sf{\qquad \: (AB) {}^{2} = (7) {}^{2} + ( 4) {}^{2}}}[/tex]
⠀
[tex]{ \longrightarrow \sf{\qquad \: (AB) {}^{2} = 49 + 16}}[/tex]
⠀
[tex]{ \longrightarrow \sf{\qquad \: (AB) {}^{2} = 65}}[/tex]
⠀
[tex]{ \longrightarrow \sf {\pmb {\qquad \: AB}}} = \pmb{ \frak{\sqrt{65}}}[/tex]
⠀
Therefore,
The length of the Hypotenuse (AB) is √65 ftPLEASEEEE HELP ME ILL GIVE YOU BRAINIEST!!
Answers
Answer:
48 in³
volume of triangular prism: Base Area * HeightBase Area:
[tex]\hookrightarrow \sf \dfrac{1}{2} *base*height[/tex]
[tex]\hookrightarrow \sf \dfrac{1}{2} *3*8[/tex]
[tex]\hookrightarrow \sf 12 \ in^2[/tex]
Volume:
[tex]\hookrightarrow \sf 12 * 4[/tex]
[tex]\hookrightarrow \sf 48 \ in^3[/tex]
Which graph best represents the equation created when the slope of y = 6x is changed to 0?
Answers
The graph with an equation y = 6x has a slope of 6. If the slope is changed to 0, the equation becomes y = 0.
What is a linear function?A linear function is in the form:
y = mx + b
Where m is the slope (rate of change) and b is the y intercept
The graph with an equation y = 6x has a slope of 6. If the slope is changed to 0, the equation becomes y = 0.
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Which of the following is not an exponential function?
Answers
-
Use inverse operations to write the inverse of f(x) = x +
3/2
Answers
Answer:
I believe the correct answer is f^-1 (x) = x - 3/2
Dion is performing a hypothesis test in which the population mean is 92 and the standard deviation is 2. His sample size is 7 with a mean of 93. 5. Which of the following correctly depicts the z-statistic for this data? 0. 28 0. 36 1. 98 2. 63.
Answers
The value of the z statistic for the considered data is given by: Option C: 1.98 approximately.
How to find the z score (z statistic) for the sample mean?If we're given that:
Sample mean = [tex]\overline{x}[/tex] Sample size = n Population mean = [tex]\mu[/tex] Sample standard deviation = sThen, we get:
[tex]z = \dfrac{\overline{x} - \mu}{s}[/tex]
If the sample standard deviation is not given, then we can estimate (in some cases) it by:
[tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]
where [tex]\sigma[/tex] = population standard deviation
For this case, we're specified that:
Sample mean = [tex]\overline{x}[/tex] = 93.5Sample size = n = 7Population mean = [tex]\mu[/tex] = 92Population standard deviation = [tex]\sigma[/tex] = 2Thus, the value of the z-statistic is evaluated as:
[tex]z = \dfrac{\overline{x} - \mu}{\sigma/\sqrt{n}} = \dfrac{93.5 - 92}{2/\sqrt{7}} \approx 1.98[/tex]
Thus, the value of the z statistic for the considered data is given by: Option C: 1.98 approximately.
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What is the solution to y=-2x+7 and y=5x-7
Answers
Answer:
x-2,y= 3, it can also be written as (2 ,3)
Step-by-step explanation:
2x-7y=5x-7-2x-7=5x-75x+2x=
7+77x=14x=2y=5x-7=5*2-7=10-..
Michelle's keeping track of how much time she spends playing video games. She knows she gamed for a total of 60 hours during the past 3 weeks. She played 4 hours more during the 2nd week than the 1st week. Also, she played 2 hours less during the 3rd week than the 2nd week. How many hours did she spend playing video games during the 3rd week?
Answers
Answer:
I have no clue.
Step-by-step explanation:
Answer:
What is a appropriately
What is a Procedure
What is a Enthusiasm
What is a Conflict
What is a Technique
What is a Obtain
What is a conflict management
Find the coordinates of the midpoint of CD with endpoints C(-3,7) and D(3,-7).
Answers
Answer:
(0, 0) are the coordinates of the mid point
Step-by-step explanation:
[tex]coordinate \: of \: mid \: point \: = \\ ( \frac{x1 + x2}{2} \: \: \: \: \frac{y1 + y2}{2} ) \\ ( \frac{ - 3 + 3} {2} \: \: \: \: \: \: \: \frac{7 + - 7}{2} ) \\ ( \frac{0}{2} \: \: \: \: \: \: \: \: \frac{0}{2} ) \\ (0 \: \: \: \: \: \: \: \: \: \: \: 0)[/tex]
Lily wants to do fencing around a circular garden that has a radius of 70m. If the cost of fencing is $12 per meter, find the total cost of fencing for the entire garden (use pi=22/7
Answers
Answer:
$5280
Step-by-step explanation:
Since the radius of the circle is 70m, the perimeter or circumference of the circle is 2πr --> 2 * 70 * 22/7 which is 440 meters. Since each meter of fencing costs $12, the total cost of the fencing is $5280
PLEASE HELP ASAP
EVERYTHING NEEDED IS IN THE PIC BELOW
Answers
Answer:
37.69
Step-by-step explanation:
There are 3 circles
Circle A ( radius = 6 cm )
Circle B ( radius = 4 cm )
Circle C ( radius = 2 cm )
the circumference of a circle is C = 2 Pi x r
from each circle we need half of the circumference
Circle A : P = 2pi x 6 / 2 = 6 pi
Circle B : P = 2pi x 4 / 2 = 4 pi
Circle C : P = 2pi x 4 / 2 = 2 pi
the perimetee of the shaded shape is = 6 pi + 4 pi + 2 pi = 12 pi = 37.69 cm
convert 15cm ^ 3 into m * m ^ 3
Answers
Answer:
15 ×10^-6
Step-by-step explanation:
1 m = 100 cm
1m^3 = 100^3 cm^3
1m^3 = 1×10^6 cm^3
15 cm^3 = 15 / 1×10^6 = 15×10^-6 m^3
Sofia has been saving money to buy a new computer. For her birthday, Sofia’s mother gave her twice what she had already saved. Now she has $135.
How much money did Sofia have before her birthday ?
Answers
Answer:
67.5
Step-by-step explanation:
135/2=67.5
answer is $67.50