in a group of 42 students 10 students study both, 13 study only biology and 7 study neither of the subject.
to find:the probability of the students who studies art and biology.
solution:A= students study art
B= students study biology
N=42
n (ANB)= 10
n (A'NB)= 13
n (A'NB')= 7
the number of students who study only art:
n (ANB')= N- n(ANB) - n(A'NB) - n(A'NB')
= 42.10 - 13 - 7
= 12
the number of students who study only art:
= 16
p (ANB)= n (ANB)/N
= 10/40
= 0.238
probability the student who studies art and biology is 0.238.
Help with this question please
Answer:
3y is the GCF
Step-by-step explanation:
the lowest value is -9y, so it can't be a value in the exponents
The graph of the function is of the form
f(x) = a * sin(kc – c) + h.
Ethel is packing two suitcases for her vacation. The
first suitcase weighs 24 pounds. The total weight of
the suitcases is 49 pounds. What is the weight of the
second suitcase?
Answer:
43646
Step-by-step explanation:
I did not know
Answer:
25 pounds
Step-by-step explanation:
both are 49. and one is 24.
49-24=25. which has to be the weight of the second suitcase.
2=x^2-10x solve by completing the square
[tex]2=x^2-10x\\\\\implies x^2 -10x =2\\\\\implies x^2 -2\cdot 5 x +5^2 -5^2 = 2\\\\\implies x^2 -2\cdot 5x +5^2 = 2+5^2 \\\\\implies (x-5)^2 = 27\\\\\implies x-5 = \pm\sqrt {27}\\\\\implies x = \pm\sqrt{27} +5=\pm3\sqrt{3}+5\\\\\text{Hence,}~ x = 5+3\sqrt 3~\text{or}~ x = 5-3\sqrt 3[/tex]
Which exponential model best represents the data? O f(x) = 3(1.2) O f(x) = 2(0.3)* O f(x) = 2(3)* O f(x) = 3(0.2)*
The exponential model has an initial value of 3
The exponential model of the data is f(x) = 3 * (1.2)^x
How to determine the exponential model?From the complete question,we have the following parameters:
Initial value, a = 3Growth rate, r = 0.2The exponential model is then calculated as:
f(x) = a * (1 + r)^x
Substitute known values
f(x) = 3 * (1 + 0.2)^x
Evaluate the sum
f(x) = 3 * (1.2)^x
Hence, the exponential model of the data is f(x) = 3 * (1.2)^x
Read more about exponential models at:
https://brainly.com/question/7296382
Answer:
f(x)=3(0.2)^x
Step-by-step explanation:
When x=0
f(0)=3
When x =1
f(1)=0.6
3 x 1.2 =3.6, 3 x 0.2=0.6
So then I just chose f(x)=3(0.2)^x and I got it correct on the quiz :)
Fill in the table using this function rule.
Answer:
1) 16
2) 12
4) 4
5) 0
Step-by-step explanation:
Plug in the value for x in the equation above and solve for y for all 5.
dd2+2
edeeeeeeeeedvvvvvvvvvvvvvvvw[[kqpwgjwegkJ=J
Answer: umm what did you say?
Step-by-step explanation:
Find the volume of the figure below.
Answer:
B
Hope This Helps! :) Please Mark as brainliest!
Help! The question is in the image.
Answer:
it is on y axis so that the points are (0,4)&(0,8) on the horizontal angle & it will touch the x axis on (-8&2)
Determine whether each set of data represents a linear, an exponential, or a quadratic function.
Answer:
See below ↓↓↓↓
Step-by-step explanation:
Set 1
[tex]\left[\begin{array}{ccc}x&y\\1&13\\2&6\\3&1\\4&-2\\5&-3\end{array}\right][/tex]
⇒ Quadratic [As it reduces at an unusual rate : -7, -5, -3, etc.]
Set 2
[tex]\left[\begin{array}{ccc}x&y\\-5&-34\\-4&-29\\-3&-24\\-2&-19\\-1&-14\end{array}\right][/tex]
⇒ y = 5x - 9
⇒ Linear
Set 3
[tex]\left[\begin{array}{ccc}x&y\\-2&0.0625\\-1&0.25\\0&1\\1&4\\2&16\end{array}\right][/tex]
⇒ Exponential [As seen by the perfect squares 0.0625, 0.25, 1, 4, 9..]
Set 4
[tex]\left[\begin{array}{ccc}x&y\\-6&28\\-3&19\\-1&13\\0&10\\3&1\end{array}\right][/tex]
⇒ Quadratic [As it reduces at an unusual rate : -9, -6, -3, etc.]
On the following unit circle, \thetaθtheta is in radians.
A unit circle with an angle from the positive x-axis to a ray labeled theta. The point where the ray intersects the circle is labeled 0.83, negative 0.55 and is in the fourth quadrant.
A unit circle with an angle from the positive x-axis to a ray labeled theta. The point where the ray intersects the circle is labeled 0.83, negative 0.55 and is in the fourth quadrant.
Without a calculator, evaluate the following expressions to the nearest hundredth.
Answer:
Step-by-step explanation:
cos(π+θ)=-cos θ=-(0.83)/1=-0.83
cos (2π-θ)=cos θ=0.83/1=0.83
Answer:
5/4
Step-by-step explanation:
what's greater -9/11 or -5/8
Answer:
-9/11 > -5/8
Step-by-step explanation:
10^3 I need some help can someone help please.
A number raised to an exponent is the number multiplied by itself the number of the exponent:
10^3 = 10 x 10 x 10 = 1,000
Given a normal distribution with a mean of 28 and a standard deviation of 2.5, what percentage of the data should be between 25.5 and 30.5?
Using the Empirical Rule, it is found that 68% of the data should be between 25.5 and 30.5.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, we have that:
28 - 2.5 = 25.5.28 + 2.5 = 30.5.Within one standard deviation of the mean, hence, 68% of the data should be between 25.5 and 30.5.
More can be learned about the Empirical Rule at https://brainly.com/question/24537145
HELPP this is due tomorrow
254 people were surveyed regarding their favorite gemstone 54%chose diamonds 6%chose saphires 30% chose emeralds 10% rubies. How many people did not choose emeralds or rubies?
Answer:
152.4
Step-by-step explanation:
30%+10%=40%
100%-40%=60%
254*0.60=152.4
necesito saber como se resuelve esto (:
Answer:
Cómo escribir las fracciones en letras?
Así, cuando vayas a leer una fracción, primero menciona el numerador, luego el tipo de partes que se están tomando. Por ejemplo, la fracción se lee siete novenos, y significa que se tomaron siete partes, después de dividir la unidad en nueve.
Step-by-step explanation:
-3|x|=9, what is x? I wrote that x = -3, but I guess that's wrong?
Answer:
no solution
Step-by-step explanation:
You want the solution to -3|x| = 9.
SignThe equation shows the product of a negative number (-3) and a positive number |x| is positive (9).
This is a violation of the rules of arithmetic. The product of a positive and a negative is always negative.
There is no solution to this equation.
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HELPPPPPP PLSSSSSSSS
Answer:
hmmmm help rin ako po please
m ∠ 1 = ______ °
m ∠ 2 = ______ °
m ∠ 3 = ______ °
Answer:
M < 1=180
M<2=90
M<3=90
Step-by-step explanation:
M 2 and 3 are both right angles and m1 is a obtuse angle
first to answer correctly will be marked brainliest
Answer:
See attached picture
Step-by-step explanation:
Hope this helps! :)
It is given that the volume of a size 5 football is larger than that of a size 4 football by 72.8%.find the ratio of the radius of the size 5 football to that of the size 4 football.
Answer:
6/5
Step-by-step explanation:
Let size 4 football radius = x,
and size 5 football radius = y,
Volume of size 5 = Volume of size 4 × (1 + 0.728)
Using the sphere volume formula,
V = (4/3)πr³
(4/3)πy³ = (4/3)πx³ × (1.728)
y³ = 1.728x³
y = ³√1.728 x
y/x = 6/5
Therefore, ratio of the radius of the size 5 football to that of the size 4 football is 6/5
Answer:
6/5
Step-by-step explanation:
The point, (-4, 2) is a solution to the following system. y > 3x - 2 y ≥ 1 True False
Answer:
May I see a picture can't really understand the question clearly but seeing a picture could help. Thanks.
You text your friend for 15 minutes on friday night and for 25 minutes on saturday night. what is the percent of increase? (round to nearest whole percent)
Answer:
66%
Step-by-step explanation:
This doesn't really require any equations, it's just brain work.
15 can be easily divided into 3 parts, each part consisting of 5 units. Here, it will be 5 minutes, then, if it's 5 minutes for each 33%(this number is rounded), then, that means that for 10 minutes, it will be 66%. You can understand this because the amount of increase in minutes is 10 minutes, and if each 5 minutes = 33% of increase, then 33+33=66, so hence, our answer is 66%.
----------------------------------------------------------------------------------------------------------"The beautiful thing about learning is that no one can take it away from you!" B.B.King
Thanks!
Have a great day!
Mark me brainliest!
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:D
Rajan is given half a chocolate to divide amongst 4 people including himself what fraction of the whole chocolate is he left with?
Answer: If Rajan has [tex]\frac{1}{2}[/tex] of a chocolate bar, then he has to divide it 4.
[tex]\frac{1}{2}[/tex] ÷ 4 = [tex]\frac{1}{8}[/tex]
Step-by-step explanation:
[tex]\frac{1}{2}[/tex] ÷ 4
[tex]\frac{1}{2}[/tex] × [tex]\frac{1}{4}[/tex]
Multiply the numerators and denominators and you will get: [tex]\frac{1}{8}[/tex]
Hope this helped!
SOMEONE PLEASE HELP ME WITH THIS!!
IMAGE DOWN BELOW!!
ILL GIVE YOU BRAINLIST ANSWER!!
Answer:
5.946 cm
Step-by-step explanation:
Using the Pythagorean Theorem, we know that in a right angle triangle to find the longest side we must use the equation a^2 = b^2 + c^2
A is the longest side while b and c are the other two sides
To find one side we must use
b^2 = a^2 - c^2
a squared = 6.9 squared - 3.5 squared
a^2 = 35.36
square root 35.36 to get a
a = 5.946427499
a (3 d.p.) = 5.946
What is 20% of 60?
please and fanks
Answer:
heya! ^^
so the question demands us to calculate what is 20% of 60.
that's quite simple. so let's see how we gótta do this question.
[tex]\\\\ \fbox{20\% \: \: of \: \: 60} \\ \\ \dashrightarrow \: \frac{2\cancel0}{\cancel{100}} \times 6\cancel0 \\ \\ \dashrightarrow \: 2 \times 6 \\ \\ \dashrightarrow \: 12[/tex]
hope helpful :D
Answer:
12
▬▬How to▬▬Convert 20% to fraction.[tex]20[/tex]% ⇒ [tex]\frac{1}{5}[/tex]Flip [tex]\frac{1}{5}[/tex] to [tex]\frac{5}{1}[/tex][tex]\frac{5}{1}[/tex] also equals 5Add 5 and 1[tex]5 + 1 = 6[/tex][tex]6 * 2 = 12[/tex]Hence, the answer is 12
What is the measure of ZABC?
А
D
75
O A. 75°
45
B
E
m
B. 60°
с
O C. 45°
O D. 120°
Answer:
B
Step-by-step explanation:
The measure of the angle ABC in the given circle is 60°
What is circle?A circle is the set of all points in the plane that are a fixed distance (the radius) from a fixed point (the center). Any interval joining a point on the circle to the center is called a radius. By the definition of a circle, any two radii have the same length.
Given is a circle, with arcs DE and AC measuring 45° and 75° respectively,
We need to find the measure of the angle ABC,
So, using the property of a circle, we will have,
∠ ABC = 1/2 {arc DE + arc AC}
= 1/2 {45+75}
= 1/2 x 120
= 60
Hence, the measure of the angle ABC in the given circle is 60°
Learn more about circles, click;
https://brainly.com/question/29142813
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The movie started at 7:35 PM and lasted 1 hour and 40 minutes. What time did
the movie end?
Answer:
9:15 PM
Step-by-step explanation:
1 hour and 40 minutes after 7:35 is 9:15
- Meagan puts three flowering plants in a garden bed. Plant 1 and Plant 2 are 6 inches apart Plant 2 and Plant 3 are 10 inches apart Plant 1 and Plant 3 are 13 inches apart Did Meagan place the plants in a right triangle shape? Why or why notp?
Answer:
No
Step-by-step explanation:
They can't be in a straight line because 6+10 (the distance between plants 1 and 2 and plants 2 and 3) is more than 13 which is the distance from plant 1 to plant 3. This means plant 3 can't be in line with 1 and 2 which will give a triangular shape. If we check Pythagorean theorem we get 6^2 + 10^2 = 13^2 ( the longest side has to be the hypotenuse) . Since this isn't a true statement it can't be a right triangle.
2x5/8 and leave your answer as An improper fraction:
7/16
10/16
7/8
10/8
Answer:
10/8
Step-by-step explanation:
[tex]2 \times \frac{5}{8} \\ \\ = \frac{2 \times 5}{8} \\ \\ = \frac{10}{8} [/tex]
