Find the probability that a student is not playing a sport or not taking a foreign
language using the Venn Diagram below.
Answers
Answer:
18/25
Step-by-step explanation:
Total number of students = 23+14+10+3 = 50.
14 out of 50 are playing sport and taking a foreign language.
So the answer is (50 - 14) / 50
= 36/50
= 18/25.
=========================================================
Explanation:
The wording your teacher provided is a bit strange in my opinion. Though I think they are referring to the people who aren't taking both classes at the same time, but they could be taking exactly one class.
We have 23+14+10+3 = 50 students total and 14 of them are taking both classes. So 50-14 = 36 students are taking exactly one class, or they are taking neither of the classes.
This leads to a probability of 36/50 = (2*18)/(2*25) = 18/25 which points to choice B as the answer.
------------------
Side note:
If it asked "what is the probability that a student is not taking a sport AND not taking a foreign language?", then the probability would be 3/50 because there are 3 people not taking either class out of the 50 total. So the keyword "and" is the change made here, instead of the "or".
Related Questions
What is the length of side x in a 30-60-90 triangle where one side is the square root of 3 and the other side is unknown?
Answers
Answer:
The length of side x in a 30-60-90 triangle is 2√3.
Step-by-step explanation:
The numbers 30-60-90 are angles, so we need to find the side x of a right triangle with the following information:
θ: is one angle of the right triangle = 30°
α: is the other angle of the right triangle = 60°
a: is one side of the right triangle = √3
b: is the other side of the right triangle =?
x: is the hypotenuse of the right triangle =?
The length of the hypotenuse can be found by Pitagoras:
[tex] x^{2} = a^{2} + b^{2} [/tex] (1)
So, we need to find the side "b". We can calculate it with the given angles.
From the side "a" we have:
[tex] cos(\alpha) = \frac{a}{x} [/tex]
[tex] cos(60) = \frac{\sqrt{3}}{x} [/tex] (2)
From the side "b":
[tex] sin(\alpha) = \frac{b}{x} [/tex]
[tex] sin(60) = \frac{b}{x} [/tex] (3)
Now, we can calculate "b" by dividing equation (3) by equation (2).
[tex] tan(60) = \frac{\frac{b}{x}}{\frac{\sqrt{3}}{x}} [/tex]
[tex] b = tan(60)*\sqrt{3} = 3 [/tex]
Finally, we can find the length of the hypotenuse with equation (1):
[tex] x = \sqrt{a^{2} + b^{2}} = \sqrt{(\sqrt{3})^{2} + (3)^{2}} = 2\sqrt{3} [/tex]
Therefore, the length of side x in a 30-60-90 triangle is 2√3.
I hope it helps you!
Find the length of the missing side. Round to the nearest tenth.
Find the length of the missing side. Round to the nearest tenth.
Answers
Answer:
Step-by-step explanation:
hey watch it fatty
What is the volume of the trapezoidal prism with a height of 10 cm, base lengths of 3 and 4 cm, base height of 2 cm?
Answers
Given:
Height of a trapezoidal prism = 10 cm
Base lengths are 3 and 4 cm.
Base height = 2 cm
To find:
The volume of the trapezoidal prism.
Solution:
Base area of a trapezoidal prism
[tex]B=\dfrac{a+b}{2}\times h[/tex]
Where, a,b are base lengths and h is the base height.
Putting [tex]a=3,b=4,h=2[/tex], we get
[tex]B=\dfrac{3+4}{2}\times 2[/tex]
[tex]B=7[/tex]
The volume of a trapezoidal prism is:
[tex]V=Bh[/tex]
Where, B is the base area and h is the height of the prism.
Putting [tex]B=7,h=10[/tex], we get
[tex]V=7\times 10[/tex]
[tex]V=70[/tex]
Therefore, the volume of the trapezoidal prism is 70 cubic cm.
Which statements about special quadrilaterals are true? Select all that apply.
An isosceles trapezoid can be broken into a rectangle and two triangles.
The area of a kite can be found by multiplying the length times the width.
After breaking a kite into two triangles of the same size and shape, find the height of the triangles by dividing the width by 2.
A kite can be broken into two triangles or a rectangle and a triangle.
A trapezoid is a quadrilateral with two pairs of parallel opposite sides.
Answers
Answer:
A and C
Step-by-step explanation:
I just answered the question.
Answer:
A and C
Step-by-step explanation:
Trust me
If a haunted house was open for 15 days and 200 people paid 10 dollars to enter the attraction of those days, how much money would you make?
Answers
Answer:
30000
Step-by-step explanation:
200x10x15=30000
Please help!!!!
Write three equations whose graphs are the same line as the equation -9x + 5y = -4.
Answers
9514 1404 393
Answer:
9x -5y = 4 . . . . standard form9x -5y -4 = 0 . . . . general formy -1 = 9/5(x -1) . . . . . point-slope formStep-by-step explanation:
The intercepts are ...
x-intercept = -4/-9 = 4/9
y-intercept = -4/5
Knowing these intercepts means we can put the equation in intercept form.
x/(4/9) -y/(4/5) = 1
The fractional intercepts make graphing somewhat difficult. However, we observe that the sum of the x- and y-coefficients is equal to the constant:
-9 +5 = -4
This means the point (x, y) = (1, 1) is on the graph. Knowing a point, we can write several equations using that point.
We like a positive leading coefficient (as for standard or general form), so we can multiply the given equation by -1.
9x -5y = 4 . . . . . standard form equation
Adding -4, so f(x,y) = 0, puts this in general form.
9x -5y -4 = 0
We can eliminate the constant by translating a line from the origin to the point we know:
9(x -1) -5(y -1) = 0
This can be rearranged to the traditional point-slope form ...
y -1 = 9/5(x -1)
Yet another equation can be written that tells you the slope is the same everywhere:
(y -1)/(x -1) = 9/5
These are only a few of the many possible forms of a linear equation.
The temperature in an oven changes from 350 degrees to 362 degree. What is the percent increase in temperature, to the nearest tenth of a percent?
Answers
Answer:
3.4%
Step-by-step explanation:
Find the percent increase by dividing the difference in the temperatures by the original temperature, then multiplying it by 100:
((362 - 350) / 350) x 100
(12 / 350) x 100
= approximately 3.4
So, the percent increase in temperature was approximately 3.4%
Please help me find the volume of these figures. (Geometry)
Answers
Answer:
45.) 49.) V=LBH
Step-by-step explanation:
V= 15
5*3*1=15
V= 891
11*9*9
Show your work Please!
Answers
Answer:
5) 268.08cm
6)1150.35mi
7)33.51in
8)904.78yd
Step-by-step explanation:
5) V= 4/3πr^3
V=4/3π4^3
V=268.08257
6) r=1/2d
r=1/2(13)
r=6.5
V= 4/3πr^3
V= 4/3π 6.5^3
V=1150.3465
7) V= 4/3πr^3
V= 4/3π 2^3
V=33.510
8)V= 4/3πr^3
V= 4/3π 6^3
V=904.778
The number (√5+2)/(√5-2)
is:
(a) a rational number
(b) an irrational number
(c) an integer
(d) a natural number
Answers
Answer:
b: irrational
Step-by-step explanation:
(√5+2)
-------------- is given.
(√5 - 2)
If we multiply numerator and denominator by (√5+2), we succeed in removing the square root symbol from the denominator:
(√5+2)(√5+2)
---------------------
(√5+2)(√5- 2)
and the denominator becomes 5 - 2, or 3. The denominator is now rational, but the numerator still involves the square root symbol, so overall the given number is irrational.
Don’t really understand what to do need help please
Answers
Step-by-step explanation:
You need to multiple 3 for 15 and gain for12 times.
Compare which one is greater .
Write the greatest answer.
Similarly you need to do same process to next question according to power.
Answer:
27 & 16
Step-by-step explanation:
Just take like in example one:
3^15 and 3^12
You do
15-12=3
Then- 3^3=27!!
For the second:
4^10-4^8
10-8=2
4^2=16
Hope that's easy to understand!
can someone help me to solve the first problem only please I will mark you the brainly helpful answers pls!
Answers
Answer:
When 2 lines are parallel, the sum of interior corresponding angles = 180
120 + b = 180
b = 180 - 120 = 60
a + 30 = 180
a = 180 - 30 = 150
20 points and brainliest pls help!!!
Answers
Answer:
t=20
Step-by-step explanation:
Enter the degree of the polynomial below:
6x^6 + 9x^3 + 3x^2 - 4x^10 - 9x^5 - 5x^6
Answers
Answer:
10
Step-by-step explanation:
The highest exponent determines the degree of a polynomial.
Find the probability that
x <= -3
Answers
Answer:
30%
Step-by-step explanation:
there are two numbers that fit in the x<=3 category, those being -3 and -5, so you add the two decimals for them (.17 and .13) to get .30 and move the decimal two times to the right to make it in percentage form.
The probability of P(x ≤ -3) is 0.30 or 30% if the probability table is provided.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have given a probability table in the picture.
P(x ≤ -3) = P(x = -5) + p(x = -3)
From the table:
P(x ≤ -3) = 0.17 + 0.13
P(x ≤ -3) = 0.30 or 30%
Thus, the probability of P(x ≤ -3) is 0.30 or 30% if the probability table is provided.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ2
help please!
integrate the following:
[tex] \displaystyle \int \cos ^{3} (x) dx[/tex]
Answers
Answer:
i think its help..............
Answer:
[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} + \rm C[/tex]
Step-by-step explanation:
we would like to integrate the following integration
[tex] \displaystyle \int \cos ^{3} (x) dx[/tex]
in order to do so rewrite
[tex] \displaystyle \int \cos ^{2} (x) \cos(x) dx[/tex]
we can also rewrite cos²(x) by using trigonometric indentity
[tex] \displaystyle \int( 1 - \sin ^{2} (x) )\cos(x) dx[/tex]
to apply u-substitution we'll choose
[tex] \rm \displaystyle u = \sin ^{} (x) \quad \text{and} \quad du = \cos(x) dx[/tex]
thus substitute:
[tex] \displaystyle \int( 1 - {u}^{2} )du[/tex]
apply substraction integration and:
[tex] \displaystyle \int 1du - \int {u}^{2} du[/tex]
use constant integration rule:
[tex] \displaystyle u - \int {u}^{2} du[/tex]
use exponent integration rule:
[tex] \displaystyle u - \frac{ {u}^{3} }{3} [/tex]
back-substitute:
[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} [/tex]
finally we of course have to add constant of integration:
[tex] \displaystyle \sin (x) - \frac{ { \sin}^{3} (x)}{3} + \rm C[/tex]
If the cost of 4 1/2litres of milk is 89 1/2rupees, find the cost of 1 litre of milk. Pls explain too
Answers
Answer:
x=19.88
Step-by-step explanation:
Okay, let's try and create a "table" of what we know, and what we are looking for.
4.5 litres of milk cost 89.5 rupees
1 litre costs x rupees
Obviously, we are looking for x.
The method I'm about to tell you, might be familiar. Imagine that there was a giant X where the words cost and costs are above. There'd be a line connecting 4.5 litres of milk with the rupees we are looking for, and another line connecting 1 litre with the 89.5 rupees.
If we were to form an equation to solve for x, we'd put the connecting terms together, with an "=" between them, so we'd have this:
4.5*x=1*89.5
That's our equation, so let's solve for x.
x=89.5/4.5 => x=19.88 , let's say 20 rupees
The product of two numbers is 36.
The sum of the numbers is 13.
What are the two numbers?
Answers
manuela wants to make a cube from construction paper . if she cuts out the design below and folds it to make a cube , what will be the surface area of the cube?
25 cm2
70 cm2
125 cm2
150 cm2
Answers
Answer:
150 cm2
Step-by-step explanation:
one square would simply be base x height our base is 5 and height is 5 so i multiply that and get 25 since this is a cube all sides are equal so I will simply just multiply 25 by the number of sides since a cube has 6 sides our equation to get the answer would be 25 x 6 = 150 so 150 is our answer! Hope this is a good explanation! Have a good day!
can you help me___________________________________
Answers
ZX: 17
VX: 34. I have a pic attached but it probably doesn’t make much sense :)
a line is the locus of points that:
Answers
Answer:
A line is the locus of points that: are the same distance from two points. That's the equation for a line.
Step-by-step explanation:
hope its help
Answer:
A line is the locus of points that: are the same distance from two points.
Step-by-step explanation:
If f(x)f(x) is an exponential function where f(3.5)=10f(3.5)=10 and f(7.5)=19f(7.5)=19, then find the value of f(13)f(13), to the nearest hundredth.
Answers
Answer:
f(13)≈45.92
Step-by-step explanation:
Which best compares the volumes of pyramid X and pyramid Y?
A. The volumes of X and Y are equivalent.
B. The volume of X is half the volume of Y.
C. The volume of Y is half the volume of X.
D. The volume of X is 10 times the volume of Y.
Answers
Answer:
The pyramid X has a square base with base length of 5 cm, base width of 6cm and makes a 90 degree angle with the pyramid height. A pyramid Y has a triangular base with 2 sides measuring 7.5 cm and 8 cm respectively.
Answer:
The volumes of X and Y are equivalent.
Step-by-step explanation:
An equation is given A =
4 π r^2
Answers
Answer:
D
Step-by-step explanation:
A = 4 π r^2
A/(4π) = r^2
r = sqrt(A/(4π))
Answer:
D
Step-by-step explanation:
Given
A = 4πr² ( divide both sides by 4π )
[tex]\frac{A}{4\pi }[/tex] = r² ( take the square root of both sides )
[tex]\sqrt{\frac{A}{4\pi } }[/tex] = r → D
Susie begins a new program with 600 m on the first day each day she will increase her walk by 200 m how many kilometres will she walk on day 18 of her program
Answers
Answer: Susie walked 4000 kilometers on day 18 of her program
Step-by-step explanation:
The question explains an arithmetic progression of Susie's walk program
Now the nth term of an AP is given as
an = a1 + (n - 1 ) d
a1 =First term = 600 m
common difference , d =200
The 18th day of her program will be
a18 = 600+ (18 - 1 ) 200
a18 = 600+ 17 x200
a18 = 600+3,400
a18 = 4000
Angle E and angle H are supplementary. If angle E has a measure of 156 degrees, find the measure of angle H
Answers
Answer:
24 degrees
Step-by-step explanation:
Supplementary angles sum up to give 180°
E + H = 180°
156 + H = 180
H = 180 - 156
H = 24°
Which angle pair relationship shows that two lines are parallel?
a. Two alternate interior angles are supplementary.
b. Two vertical angles are congruent.
c. Two corresponding angles are congruent.
d. Two adjacent angles are supplementary.
Answers
Answer: c
Step-by-step explanation:
Find the component form of AB with initial point A(1, -3) and terminal point B(1,3)
Answers
Answer:0,6 i took it
Step-by-step explanation:
The equation y=36x represents the relationship between x the number of yards and y the number of inches.
Which ordered pair represents the number of yards and number of inches?
(2,72) (4,40) (5,180) (40,4) (72,2) (180,5)
Answers
Answer:
(2 , 72) and (5 , 180)
Step-by-step explanation:
Options A (2 , 72) and C (5 , 180) will be the correct options.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
we are Given equation representing the relation between two variables 'x' and 'y' is,
y = 36x
Here, y = yards and x = inches
Now Satisfy this equation with each point given in the question;
Option A. (2, 72)
72 = 36 × 2
72 = 72
This is True
Option B. (4, 40)
40 = 36 × 4
40 = 144
This is False
Option C. (5, 180)
180 = 36 × 5
180 = 180
This is True
Option D. (40, 4)
4 = 36 × 40
4 = 1440
This is False
Option E. (72, 2)
2 = 36 × 72
2 = 2592
This is False
Option F. (180, 5)
5 = 36 × 180
5 = 6480
This is False
Therefore, Options (A) and (C) will be the correct options from all the other
Learn more about equations here;
https://brainly.com/question/25180086
#SPJ2
What is the gradient of the graph shown?
Give your answer in its simplest form.
Answers
Answer:
1.5
Step-by-step explanation:
To find out the gradient (or the slope), we can use the formula
Gradient = (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are any two points lying on the line.
Looking at the graph, we can take any two points and simply plug the coordinates in the equation. For instance, take (0,-2) and (2,1)
Therefore we get the gradient as (1- -2)/(2-0) = 3/2 or 1.5.
Feel free to ask any doubts you may have.
Hope this helps! :D