In a group of 33 students, 7 study both Art and Biology. 10 study Biology but not Art. 7 study neither subject. Given that a randomly selected student studies Art, what is the probability the student studies Art and Biology?

Answers

Answer 1

Answer:

0.064

Step-by-step explanation:

Step one;

given

Total students= 33

Both Art and Biology= 7

Biology but not Art=10

Neither subject= 7

The sample space= 33

Required

the probability of  student studying Art and Biology

P(Art and Biology)= 7/33*10/33

=70/1089

=0.064


Related Questions

What is the standard form of –23f² + f/2 = –√3?​

Answers

Answer:

y = -23f^2 + 1/2f + √3

Step-by-step explanation:

Standard form: y = ax^2 + bx + c

x = f

a = -23

b = 1/2

c = √3

–23f² + f/2 = -√3

-23f² + f/2 + √3 = 0

y = -23f^2 + f/2 + √3

y = -23f^2 + 1/2f + √3

A department store buys 300 shirts at a cost of 1,800 and sells them for $10 each. FInd the percent markup rounded to the nearet percent.

Answers

Answer:

167%

Step-by-step explanation:

1800/300=$6 apiece

6x = 10

10/6 = x

x = 1.67, or 167%

HOW DO YOU SOLVE THIS!!!:/

Answers

1.5 should be the number in the blank space. The x numbers are being multiplied by 1/2
It is 1.5 because all those other proportions are divided by 1/2. :)

Pls help ASAP will give brainlist

Answers

Answer:

h,f,g I think I'm not sure maybe wait for the next person to make sure

F) F,G,H is your answer! :)

Step-by-step explanation:

Hope this helps

I figured this out because 90% of the time angles go clockwise so the smallest would be 8 inches, then it would got to the second smallest 9 inches, then it would go to the largest 11 inches

Tell me if i am correct or not! :)

2. 3m - 9n = 24 solve for m

Answers

Answer:

m=8+3n

Step-by-step explanation:

Move all terms that don't contain m to the right side and solve.

Hope this helps <3

50 ton is what percent of 85?

Answers

Answer:

58.82

Step-by-step explanation:

Answer:

58.8

Step-by-step explanation:

I think it’s 58.8 sorry if it isn’t

Prove that this equation is true.

Answers

First to answer

Answer:

The answer is True:

Let's solve your equation step-by-step.

1/n−1 = 4/15

Step 1: Cross-multiply.

1/n−1 = 41/ 5

(1)*(15)=4*(n−1)

15=4n−4

Step 2: Flip the equation.

4n−4=15

Step 3: Add 4 to both sides.

4n−4+4=15+4

4n=19

Step 4: Divide both sides by 4.

4n/4=19/4

n=19/4

simplify:

19/4 = 4.75

4.75 in decimal for is equal to 4 3/4

Jodie ran at an average speed of 6 km/h for 10 minutes.
How far did she run in km?

Answers

Answer:

speed=distance÷time

Step-by-step explanation:

time×speed=distance

distance =6×0.16=0.96 km

There are some parallelograms that are rectangles.
A. True
B. False

Answers

A. True because rectangles two sides of opposite parallel
A. True because rectangles have two opposite sides that are parallel of each other

HELP ONLY DO 3,1,2 ITS ONLY # PROBLEMS PLZZZZZZZZZZZZZZZZZZZZZZ

Answers

Answer:

3. 68.44

2.25 percent

1.86

Jo Bob’s gyro truck sold 114 gyros for lunch on Wednesday. The driver sold 98 gyros at the first stop. At the next stop, the Jones family and the Brown family bought the remaining gyros, divided equally between the two families. Each gyro cost $2.24. How much did the Jones family pay for their gyros?

Answers

Answer:

they pay $17.92

Step-by-step explanation:

114-98=16

16÷2=8

8×2.24=17.92

What is 5/9+7/12? as a fraction in simplest form?

Answers

Answer:

1 5/36

Step-by-step explanation:

To add fractions, you need to have a common denominator between the two fractions.

In this case, the lowest common denominator would be 36. Convert each fraction.

5/9 = 20/36 (multiply the numerator and denominator by 4)

7/12 = 21/36 (multiply top and bottom by 3)

20/36 + 21/36 = 41/36

Then you need to simplify the fraction. 36 goes into 41 once (1), with a remainder of 5, so you would get 1 5/36.

Hope this helps!

Solve for y.
-2(y-7) =9y – 30
Simplify your answer as much as possible.

Answers

Answer:

y=4

Step-by-step explanation:

-2(y-7)=9y-30

Do distributive property

-2y+14=9y-30

Move the terms

-2y-9y=-30-14

Collect like terms

-11y=-30-14

Calculate the difference

-11y=-44

Divide both sides by -11

y=4

Random Questions To Answer For Points.

1) Who walks at a faster rate: someone who walks 60 feet in 10 seconds or someone who walks 42 feet in 6 seconds?

Answers

Answer:

The rate is the distance divided by the time.

  60 feet in 10 seconds   =   60 ft / 10 sec   =  6 ft / sec

  42 feet in 6 seconds   =   42 ft / 6 sec   =   7 ft / sec    <--- We have a winner!

Step-by-step explanation:

An account grows at an annual interest rate of r, so it grow by a factor of x=1+r each year. The function gives the amount in the account after 4 years when the growth factor is x. What is the total amount in the account if the interest rate for the account is 3% each year?

Answers

Complete question :

An account grows at an annual interest rate of r , so it grows by a factor of x = 1+ r each year. The function A(x)= 800x^4 + 350x^3 + 500x^2 + 600x gives the amount in the account after 4 years when the growth factor is x.

1) What is the total amount in the account if the interest rate for the account is 3% each year?

Answer:

2,431.311498

Step-by-step explanation:

Given that:

Growth factor (x) = (1 + r) per year

If rate (r) = 3% = 0.03

x = 1 + 0.03 = 1.03

Amount in account after 4 years is given by the function :

A(x)= 800x^4 + 350x^3 + 500x^2 + 600x

Put x = 1.03 to obtain the total amount ;

A(1.03) = 800(1.03)^4 + 350(1.03)^3 + 500(1.03)^2 + 600(1.03)

= 2431.311498

Hence, total amount in account after 4 years = 2,431.311498

Jada was training for a race. She ran 1⅓ miles on Monday. On Tuesday, she only ran of ⅚ a mile. She decided to take the day off on Wednesday. Jada ran 2¾ miles on Thursday and ended the week with a 1½ mile run on Friday. How far did Jada run this week?

Answers

Answer: 5 5/12 miles

Step-by-step explanation:

The following are the distance covered by Jada for the week.

Monday = 1 1/3 miles

Tuesday = 5/6 miles

Wednesday = 0

Thursday = 2 3/4 miles

Friday = 1 1/2 miles

Total distance for the week will be:

= 1 1/3 + 5/6 + 2 3/4 + 1 1/2

The lowest common multiple of 3,6,4 and 2 is 12. The fractions will then be

1 4/12 + 10/12 + 2 9/12 + 6/12

= 3 29/12

= 3 + 2 5/12

= 5 5/12

Jada ran 5 5/12 miles this week

if m=-2,then what is n in this equation ​

Answers

Answer:

n=-1

Step-by-step explanation:

Plug in m=-2 into the given equation and solve

5(-2 - n) =5n

Distribute the 5 to the -2 and -n

-10-5n=5n

Isolate the variable to one side by adding 5n to the right side of the equation.

-10=10n

Isolate the variable by dividing by 10 on both sides.

-1 = n

HELP ILL MARK BRAINLIEST
Please just do questions 4. And 5.

Answers

Answer:

1/8 will be 0.125 as a decimal so that is greater than 0.12! so it will be this [tex]1.8 \geq 0.12[/tex]

Answer:

Step-by-step explanation:

4. 1/8   > 0.12

5. -6/7  < -5/6

6. 3/10 + (-7/10) = -4/10= -2/5

7. -4/9 - 1/9 = -5/9

if AB = BC and BC = CD, then AB = CD

Answers

Answer:

correct

Step-by-step explanation:

The bakers at Healthy Bakery can make 240 bagels in 10 hours.

How many bagels can they make in one hour?

Answers

Answer is 24, 240 bagels devided by the hours, is 24 bagels

Answer:

30

Step-by-step explanation:

Minus 240 by 200

240 - 200 = 40

Then, minus 10

40 - 10 = 30

30/hour

Hope this helps :)

Least common denominator of 6/7 and 5/14

Answers

Answer:

14

Step-by-step explanation:

You can‘t simplify 5/14 because 5 is a prime number. So, now you have to convert the 6/7 to 12/14 to match it up to 5/14. They now have a common denominator of 14.

Hope this helps! :)

A line has a slope of 10 and passes through the point (0, 7). What is its equation in slope intercept form?

Answers

Answer:

slope is 10x

Y - intercept is 7

Step-by-step explanation:

The equation of the line whose slope is 10 and passes through the point (0, 7) is y = 10x + 7

What is the general equation of a Straight line?

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have a line that has a slope of 10 and passes through the point (0, 7).

Assume the equation of the line to be -

y = 10x + c            {since m = 10}

For the point (0, 7), we can write -

7 = 10 x 0 + c

c = 7

So, the equation of the line will be -

y = 10x + 7

Therefore, the equation of the line whose slope is 10 and passes through the point (0, 7) is y = 10x + 7

To solve more questions on straight lines, visit the link below-

brainly.com/question/29030795

#SPJ2

Need help ASAP!?

Which equation represents h?
A)
h = 20(sin35)
B)
B
h = 19.5(sin359)
C
h =
19.5
(sin35)
20
D)
20
h =
(sin35)
19.5

Answers

Answer: The correct answer is B) 19.5(sin35)

Step-by-step explanation:

I took the practice

Johnny and Cage are working together to mold figurines for a craft fair. They already have 8 figurines which were left from the last craft fair. Johnny and Cage can mold 3 figurines every hour. Explain the reasons why this situation is linear.

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]Initial = 8[/tex]

[tex]Increment = 3[/tex] (every hour)

Required

Explain why it is linear

First, we need to determine the equation that represents the scenario

Let x be the number of hours worked and y be the number of figurines at x hours.

The equation is determined as follows:

[tex]y = Initial\ Figurines + Increment * x[/tex]

This gives:

[tex]y = 8 + 3 * x[/tex]

[tex]y = 8 + 3x[/tex]

Reorder

[tex]y = 3x + 8[/tex]

A linear equation is of the form

[tex]y = mx + b[/tex]

By comparison,

[tex]y = mx + b[/tex] is equivalent to [tex]y = 3x + 8[/tex]

Hence, we can conclude that the situation is linear

Answer:

The situation can be described using the equation y = 3x + 8

The rate of change is not constant.

Step-by-step explanation:

what a fraction has numerator 12 and is equivalent 3/4?
9/12
12/13
9/16 or 12/16

Answers

Answer:

Step-by-step explanation:

9/12

12/16 bc 12 is four times 3 so you multiply also the denominator for 3 and you get 12/16

When Mr. Woodard preheated his oven, the oven's temperature rose 3 degrees in 1/6 of a minute. At that rate, how much will the oven heat up in 1 minute?

Answers

Given:

Oven's temperature rose 3 degrees in [tex]\dfrac{1}{6}[/tex] of a minute.

To find:

How much will the oven heat up in 1 minute at that rate?

Solution:

According to the question,

Oven's temperature rose in [tex]\dfrac{1}{6}[/tex] of a minute [tex]=3 \text{ degrees}[/tex]

Oven's temperature rose in 1 minute [tex]=6\times 3 \text{ degrees}[/tex]

                                                             [tex]=18 \text{ degrees}[/tex]

Therefore, the oven's will heat up 18 degrees in 1 minute.

Answer:

18

Step-by-step explanation:

therefore it will be 18 degrees in 1 min

how do you find the area of a square​

Answers

Multiply the two sides

to find the area of a square, take length x width.

example:

length= 2

width= 7

2 x 7= 14

If y = 12 when x = 6, determine y when x = 18.

Answers

when x=18, y will be 36

There is a wall of 13 feet long and you want to hang three equally-sized travel posters of 2 feet width, on a wall so that the posters on the ends are each 1.75 feet from the end of the wall. You want the spacing between posters to be equal. Write and solve an equation to determine how much space you should leave between the posters.

Answers

Answer:

Spacing between the posters will be 1.75 each

Step-by-step explanation:

We are given

The length of the wall = 13ft

width of the poster = 2ft ⇒2*3=6ft for three posters

Poster's from end of the wall = 1.75*2 = 3.50ft

let the spacing be = x ⇒ 2x for two spacing between three posters

Total length of the wall = 6 + 3.50 + 2x = 13

2x + 9.50 = 13

2x = 3.50

x = 1.75ft

So the spacing between the posters will be 1.75 each

8 customers entered a store over the course of 16 minutes. At what rate were the customers entering the store in minutes per customer? 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 8 customers 16 minutes 8 customers 16 minutes Resize the right columns to represent the unit rate. Resize these You must answer all questions above in order to submit.

Answers

Answer:

2min/customer

Step-by-step explanation:

If 8 customers entered a store over the course of 16 minutes, then;

8 customers = 16 minutes.

The rate at which the customers are entering is expressed as;

Rate = Time (in minutes)/amount of customers;

Given

Time = 16 minutes

Amount of customers = 8 customers

Rate = 16min/8customers

Rate = 2min/customer

Hence the rate at which the customers entering the store in minutes per customer is 2min/customer.

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When a polynomial is divided by 3x - 1, the quotient is x+ 6 and the remainder r is 5. What is the dividend? PLZZ HELP!! LAST QUESTION ON MY TEST!! Is the graph linear or non-linear? Explain your answer.