In a school of 1,000 students, 600 study physics, 300 study Calculus, and 100 study both. What is the probability that someone who does not study calculus studies physics? Give your answer as a decimal to one decimal place.

Answers

Answer 1

The probability that someone who does not study calculus studies physics is 0.5

Since there are 1000 students in the school and 600 study physics, 300 study Calculus, and 100 study both, we need to find the number of students that study only physics to find the probability that someone who does not study calculus studies physics.

Let x = number of students who study both = 100, y = number of students who studies only physics and z = number of students who studies only calculus.

Given that the number of students who study physics are 600, we have

x + y = 600  (1)

Also, given that the number of students who study calculus are 300, we have

x + z = 300  (2)

From (1)

y = 600 - x

y = 600 - 100

y = 500

So, the probability of students that study only physics = probability that someone who does not study calculus studies physics  is

P(physics) = number of students studying only physics/total number of students

= 500/1000

= 5/10

= 0.5

So, probability that someone who does not study calculus studies physics is 0.5

Learn more about probability here:

https://brainly.com/question/19916581


Related Questions

a man walks for 45 minutes at a rate of 3 mi/h then jogs for 75 minutes at a rate of 5 mi/h then rests for 30 minutes and finally walks for 90 minutes at a rate of 3 mi/h. Write a piecewise-defined function expressing the distance he traveled as a function of time.

Answers

Answer:

Sorry need points

Step-by-step explanation:

Solve the equation: 3.017 + k = 5.134

Answers

Answer:

k=2.117

Step-by-step explanation:

Answer:

3.017 + k = 5.134

So, k = 5.134 - 3.017

So, k = 2.117

2x - 5y = 6 and -2x + 7y = 14

*Using elimination*​

Answers

2x-5y+ (-2x) + 7y= 6+14
2y = 20
y= 10
2x-5(10)=6
2x= 56
x= 28
here is the ans.hope this helps!

g A long-term study has revealed that a test for cancer in men is very effective. The study shows that 89% of the men for which the test is positive actually have cancer. If a man selected at random tests positive for cancer with this test, what is the probability that he does not have cancer

Answers

The answer is 89% because I had that Same question and it was 89%

how to find the volume of an oven with the inside dimensions 3 ft by 1.5 ft by 3 ft

Answers

9514 1404 393

Answer:

  13.5 ft³

Step-by-step explanation:

The volume of a cuboid is the product of its length, width, and height:

  V = (3 ft)(1.5 ft)(3 ft) = 13.5 ft³

The volume of the oven is 13.5 ft³.

__

You may see this as the formula ...

  V = LWH

Expand the function.
f(x) = (2x + 3)4

Answers

Answer:

y = 8x + 12

Step-by-step explanation:

y = (2x + 3)4

Distribute the 4 to the 2x  and 3

y = 8x + 12

^ Expanded form

Please take a look at the picture

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {C.\:None\:of\:the\:above.}}}}}}[/tex] ✔

[tex]\:\large{\boxed{\frak{ Step-by-step\:explanation: }}}[/tex]

A. [tex]x - ( - x) = -x[/tex]

Let us first solve for L. H. S.

We have,

[tex]x - ( - x)[/tex]

[tex] = x + x[/tex]

[tex] = 2x[/tex]

[tex]≠ - x[/tex]

[tex]≠ R. H. S. [/tex]

Hence, option A is incorrect.

B. [tex]0 - ( - x) = - x[/tex]

Solving for L.H.S. , we have

[tex] = 0 - ( - x)[/tex]

[tex] = + x[/tex]

[tex]≠ - x[/tex]

[tex]≠ R. H. S. [/tex]

Hence, option B is ruled out too.

Therefore, the correct answer is [tex]\sf\red{ option\:C}[/tex].

e/kaid_274404147475337871026587/assig!
Khan Academy
Percent word problems
Of the 50 U.S. states, 4 have names that start with the letter W.
What percentage of U.S. states have names that start with the letter W?
0
Stuck? Review related articles/videos or use a hint.

Answers

Answer:

Step-by-step explanation:

4/50 = 0.08

0.08(100) = 8%

Help please please need quick

Answers

14 times 14=196
7 times 7= 49
196-49=147
The length of X is approximately 7 root 3. Or 12.12 as a decimal

a car travels 55 miles per hour for 2 hours. How far did it travel in 1 1/2 hours

Answers

Answer:

82.5 miles in 1 1/2 hours

Step-by-step explanation:

Using the information the question gives us we can find the appropriate answer to this question by dividing the miles per hour by two, and then add that number to the additional miles per hour.

55 miles = one hour

2 hours = 110 miles

1 1/2 hours = 55 ÷ 2 = 27.5

55 + 27.5 = 82.5 miles

82.5 miles

Hope this helps

plz help on a timed test will pay 10 points and make brainlest

What other countries have set up early earthquake warning systems? Which of these countries are in the Ring of Fire? Why is it important for these Ring of Fire countries to have warning systems?

Answers

Answer:

Mexico, Japan, South Korea, Taiwan, and the United States, Chile, Japan, the US west coast;  Chile, Japan, the US west coast; So all that is left for the people who live around the Ring of Fire is to be aware of the danger, perhaps to live further inland, build safer, earthquake-resistant housing, and for nations everywhere to improve oceanic and land-based early-warning systems to help minimize the risk to life

Step-by-step explanation:

Gven: f(x) = 4x +1 and (x)= x^2 + 1.

find (fog)(x)​

Answers

Answer:

Step-by-step explanation:

27836?+_68_729+_8978

see question above ^^​

Answers

I think the answer is (4) because if you rotate AEC to the left (counterclockwise) and follow by the scale factor of 2 so, CE = 4x2 = 8 and CA = 3x2 = 6. Hope this help :))

A punch recipe requires 2 cups of cranberry juice to make 4 gallons of punch. Using the same recipe, what is the amount of cranberry juice needed for 12 gallon of punch

Answers

Answer:

we need 6 cups of cranberry juice for 12 gallons of punch

2/3x + 7 = -1/5x + 3

Answers

if there is any doubt leave a comment

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=21(0.97)^x
what is the % increase

Answers

Answer:

Step-by-step explanation:

As the number under the exponent is less than 1, this is a decay function.

y decreases by (1 - 0.97)100 = 3% for each unit increase in x

so the increase would be -3%

Suppose `h\left(t\right)=-5t^{2}+10t+3`is an expression giving the height of a diver above the water (in meters), t seconds after the diver leaves the springboard.



a. How high above the water is the springboard? Explain how you know.

Answers

Answer:

Step-by-step explanation:

a) The height of the springboard above the water should be h(0) : Read, the height at t = 0

h(0) = -5(0) + 10(0) + 3

h(0) = 0 + 0 + 3

h(0) = 3

a) 3 meters

b)  The time it takes the diver to hit water should be, the positive 0 solution for t.  Remember, in a quadratic equation,  there are two values for t where a parabola crosses the horizontal axis, which in this case would be t.  Just by looking at the function, h(t) = -5t2 + 10t + 3 , one should be able to see that it cannot be factored easily, so it requires the Quadratic Formula to find the zeros ; x = -b ±√(b2-4ac)  / 2a

Substitute t for x, and use the coefficients for a, b, c:

t  =  (-10 ± √((102 - 4(-5)(3)))/2(-5)

t = (-10 ±√(100 + 60))/-10

t = (-10 ±√160)/-10) ; Now factor the 160 to simplify:

t = (-10 ±√(10*16))/-10

t = (-10 ±4√10)/-10 ; Factor out leading coefficient of -2 from the numerator:

t = -2(5 ± 2√10)/-10

t = (5 ± 2√10)/5

Using a calculator to find the zeros, and disregarding the negative zero (because t starts at 0):

t ≈ 2.265

b) approx. 2.265 seconds for diver to hit water.

c) To find this, set the function equal to 3 to find what other value for t would be equal to 3 (we know one is 0).

-5tt + 10t + 3 = 3

-5t2 + 10t = 0 ; factor out t

t(-5t + 10) = 0

We know t = 0:

We also know that -5t + 10 = 0

-5t = -10

t = 2

c) 2 seconds. This is the time that diver would equal height of t=0 which is where he started, and where he equals the height of the springboard.

d and e) The peak of the dive (parabola), is determined using the formula h = -b/2a (Derived from the Quadratic Formula) to find the y value (in this case, the h value, answering e) and then using that result in the function to find the x value (in this case, the t value answering d) of the point where the parabola (dive path) reaches a maximum(height), or minimum(in upward opening parabolas).

h = -10/2(-5)

h = -10/-10

h = 1

h(1) = -5(1)2 + 10(1) + 3

h(1) = -5 + 10 + 3

h(1) = 8

d) At t = 1 second, diver will have reached peak of dive.

e) At t = 1 second, diver will have reached a maximum height of 8 meters.

Juan wants to buy a video game for $63. He saves $12 every Friday. Part A. Create an equation to represent Juan's total savings, y, in dollars, after x Fridays. y​

Answers

Answer:

Answer in explanation.

Step-by-step explanation:

An equation to represent Juan's total savings y, in dollars, after x Fridays will be;

⇒ y = 12x

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Juan wants to buy a video game for $63.

And, He saves $12 every Friday.

Now,

Let total dollars after x Friday = y

And, He saves $12 every Friday.

So, We can formulate;

⇒ Total money (y) = 12x

⇒ y = 12x

Thus, An equation to represent Juan's total savings y, in dollars, after x Fridays will be;

⇒ y = 12x

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

Soraya earned $40 in October. She earned $50 in
November.
What is the percent increase or decrease in Soraya's monthly earnings?
A. 15% decrease
B. 30% increase
C. 25% increase
D. 20% decrease

Answers

25% increase.

Explanation: 25% of $40 is $10. You add $10 to $40 you get $50.

geomtry plz help 15 points

Answers

Answer:

it should be 60°. the single marks on each side means they are all equal

Answer:

m∠L=60º

Step-by-step explanation:

The triangle is an equilateral triangle meaning that all angles and sides are equal.

m∠L=60º

Hope this helps :)

x-10/3=5x+2/2 I need help with he next step please

Answers

Answer:

x2 the left side and x3 the right side of the equation

Answer:

X = -2

First you cross multiply, and then you expand to get 15x+6

after that its basic algebra with adding/subtracting from each side, simplifying, and then divide both sides by -13.

What is 75.65 rounded to the nearest whole number?​

Answers

It is 76 as the other person said, what I like to think to help me remember is five or more raise the score, 4 or less, let it rest

what is 4% of 32? is it a percent, base, or amount

Answers

Answer:

1.28 - amount

Step-by-step explanation:

You would multiply 32 times 0.04 and get 1.28 which I assume would be an amount.

The amount of 4% of 32 is 1.28.

We have to determine what is 4% of 32.

What is the percentage?

This free percentage calculator computes a number of values involving percentages, including the percentage difference between two given values.

Suppose it is an x percent.

Therefore x multiply 32 times 0.04 and get 1.28 an amount.

To learn more about the percentage of visits:

https://brainly.com/question/24304697

#SPJ2

A man earned £6500 for the month. He paid 2/5 in tax . How much did he have left to spend?

Answers

Answer:

$2600

Step-by-step explanation:

Im not too fond of the conversion of Pounds and USD. But if it were USD 2/5 of the amount would be $2600

When it was 70 degrees outside. 50 members showed up at a beach club. For each degree the temperature rose, another 10 members came to the beach club. Write the function, Kt), that represents the number of members at the beach club as a function of the temperature​

Answers

Answer:

what to do here I don't know sorry

...............

.

.

........

.

.

...............


A department store marked down all of its summer clothing 23%. The following week the remaining items were marked down again
15% off the sale price. When Jorge bought two tank tops on sale, he presented a coupon that gave him an additional 20% off. What
percent of the original price did Jorge save?

Answers

Answer:

58%

Step-by-step explanation:

help me please the drop down menu is the same for top and bottom i’m lost:(

Answers

I think…

0=2 : no solutions
2=2 : infinite solutions

Answer:

1) No solution

2) Infinitely many solutions

Step-by-step explanation:

1) No solution

0=2 is false.

2) Infinitely many solutions

2=2 is true because both sides are equal, hence, it is an infinite solution.

Hope this helps :)

Write an inequality to show: The population of China (p) is at least 1,000,000,000 people.
I'll try to mark brainiest

Answers

Answer:

p ≥ 1,000,000,000

Step-by-step explanation:

since it says "at-least" that is implying that, that is the estimate and there is most likely more people and it is not exactly 1,000,000,000 so we need to use ≥ to show that it could be greater than or equal to 1,000,000,000.

The length of a rectangle is three times its width. if the area of the rectangle is 75 in2, find its perimeter.

Answers

Answer:

  40 in

Step-by-step explanation:

For a width of w, the length is 3w and the area and perimeter are ...

  A = LW = (3w)(w) = 3w^2

  P = 2(L+W) = 2(3w +w) = 8w

We are given the area, so we can find w to be ...

  75 in^2 = 3w^2

  25 in^2 = w^2 . . . . . divide by 3

  5 in = w . . . . . . . . . square root

Then the perimeter is ...

  P = 8w = 8(5 in) = 40 in

please help me calculation completing square?
x²+2x-24=0?​

Answers

Answer:

x = 4, -6

Step-by-step explanation:

x = 4, -6

Other Questions
A client is being prepared for intrauterine (artificial) insemination. Which finding is the most suggestive to determine if the client is ovulating 1/2 hours: $1.25 What is the unit rate per hour? Why Neptune is the coldest planet As a medical assistant, you have worked with patients with infectious diseases the entire day. Why is it important that you cover your work clothes prior to picking up your child at daycare? Why should you change your clothes as soon as you arrive home? You answer 21 out of 25 questions correctly on a test. Did you reach your goal of getting 80% or better? 10. The ordered pairs (1, 2), (2, 8), (3, 18), and (4, 32) represent a function. What is a rule that represents this function? Show your work for full credit! a.2xb.2x+2c.x^2d.2x^2 plate tectonics-1.gifWhat is the above image a representation of? Write an algebraic expression to represent the verbal statement: The product of the difference of m and 7 and 6. How did Napoleon ensure equal opportunity in government? hiroshi borrowed 3 nonfiction books from the library. This was 25% of the books he checked out. how many books did Hiroshi take out? Sand is composed mostly of ____ and is used to make glass, bricks, and concrete for the construction of roads and buildings. PLEASE HELP WITH THIS ONE QUESTION Qu verbo que est en subjuntivo forma parte de una subordinada adjetiva?A) gustarB) cocinarC) serD) preparar I need help quickly The banking crisis of 2008 is quite interesting to analyze. The factors that led to this near banking collapse are intriguing to say the least. In this exercise you will be evaluating the factors that led up to the crisis and determining which ones could have created this scenario.There is no simple answer to what led to the banking crisis, as there were many factors that contributed over a long period of time. Understanding the factors that led to the crisis is very important, as such an understanding will help regulators prevent similar situations in the future.Please analyze the factors that are given to determine which ones could have potentially worked together to have created the banking crisis of 2008, and then place each factor in the category of either Major Contributor or Little or No Contribution. que se siente ser feliz solamente cuando tomas letra The CIA is the only agency in the UnitedStates government to have what designation?A. The agency is above the law of the U.S. Constitution.B. The agency does not have to report any of its activity toCongress.C. The agency works on behalf of the U.S. Supreme Court.D. The agency is the only one which acts on the direction of theU.S. President. The lower the temperature, the fewer crimes tend to occur. From the perspective of research methods, what does this mean Which gas is produced as a result of cellular respiration. "the product of negative three and x" When normalizing, the goal is to decompose relations with anomalies to produce smaller, well-structured relations. True false.