In a group of 28 students, 12 study both Art and Biology.
12 study Biology but not Art.
4 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:

100%

Step-by-step explanation:

Use conditional probability:

P(B | A) = P(B and A) / P(A)

P(B | A) = (12/28) / P(A)

We need to find the probability that a student studies art.

P(A or B) = P(A) + P(B) − P(A and B)

24/28 = P(A) + (12+12)/28 − 12/28

P(A) = 12/28

P(B | A) = (12/28) / (12/28)

P(B | A) = 1

What this means is that all of the students who study art also study biology.


Related Questions

Graph f(x)=x(x-4)(x+4)/x^2-8x+12

Pls hurry I’m timed

Answers

Answer:

the first one

Step-by-step explanation:

hours did he average per day!
10. Six cases of paper cost $159.98. How much does one
case cost? explain
HELP!!!

Answers

Answer:

$26.6633333333

Step-by-step explanation:

You divide $159.98 by 6 lol

Answer:
$26.66 per case

Explanation:

We want to find the cost per case. Therefore we must divide the cost by the number of cases.
cost per case= cost/cases
We know that it costs $159.98 for 6 cases of paper.
cost per case= $159.98/6 cases
Divide.
cost per case= $26.66333333333333/case
Round to the nearest cent or hundredth. The 3 in the thousandth place tells us to leave the 6 in the hundredth place.
cost per case ≈$26.66

It costs about $26.66 per case of paper.

Which of the following is an example of velocity?
A. a man running 7 miles per hour west.

B. a dog running at 5 miles per hour.

C. a plane travelling south towards the Bahamas.

D. a car sitting at a stop sign?
help plz

Answers

Answer:

A

Step-by-step explanation: You are given a specific direction, while the rest aren't certain.

Jasmine is in charge purchasing tubes of silicone sealant, used for finishing restroom facilities. She finds that she is able to purchase silicone sealant in cone tubes. She knows that a jumbo cone of sealant has a top diameter of 12 inches and a height of 14 inches, and a regular cone of sealant has a top diameter of 6 inches and a height of 7 inches. Jasmine believes that with her order of sealant, that she can get the same amount of silicone sealant from two regular cones as from one jumbo cone.

Answers

The question attached is:

Is Jasmine correct about the silicone sealant cones?

If you think Jasmine is correct to explain, why.

Answer:

Jasmine is correct about the silicone sealant cones

Step-by-step explanation:

Given that:

Jumbo cone of sealant has a top diameter of 12 inches and a height of 14 inches, Suppose Jasmine orders or demands for two regular cones of regular sealant, definitely, that will be equal to the Jumbo cone of sealant.

This is because the top diameter when put together in a Jumbo cone will give an actual result as a Jumbo cone, for as much as 6 × 2 = 12 inches (top diameter) and 7 × 2 = 14 inches (height).

Grace Oatman bought 6 1/3 yd. of material for $4.95 per yard. What was the cost of
the material?

Answers

Answer:

The total cost of the material was $31.35

Write the equation of a line that is perpendicular to the line that passes through (4,−3)and (−7,8).

Answers

Line perpendicular to a given line is = 1/m

To find m, use m =y2-y1/x2-x1 formula

m = (8-(-3))/(-7-4)

m = 11/-11,

m = -1

Use y= mx+c to find equation of line

Plug in a pair of values,

-3= -1(4)+ c

c= 1

Thus, equation is:

y = -x+1

Equation of line perpendicular to this line is:

y= x+1

Hope it helps :)

Pls mark it as Brainliest :)

How do I simply this expression?

Answers

Answer:

Here are the basic steps to follow to simplify an expression. I hope this helps:

1.remove parentheses by multiplying factors.

2.use exponent rules to remove parentheses in terms with exponents.

3.combine like terms by adding coefficients.

4.combine the constants.

Step-by-step explanation:

What is the next number is the pattern ?

2, 6, 10, 14, ______

a
15
b
16
c
17
d
18
Pregunta 2 (10 puntos)
What is the next number in the pattern?

1, 3, 9, 27, ______

a
30
b
36
c
81
d
35
Pregunta 3 (10 puntos)
What is the next number in the pattern?

1, 4, 9, 16, _____

a
20
b
25
c
30
d
35
Pregunta 4 (10 puntos)
What is the next number in the pattern?

1, 3, 5, 7, 9, _____

a
10
b
11
c
12
d
13
Pregunta 5 (10 puntos)
What is the next number in the pattern?

2, 20, 200, 2000, _______

a
200
b
20
c
2000
d
20000
Pregunta 6 (10 puntos)
What is the next number in the pattern?

130, 120, 110, 100, _______

a
90
b
80
c
70
d
60
Pregunta 7 (10 puntos)
What is the next number in the pattern?

34, 27, 20, 13, ________

a
5
b
6
c
7
d
8
Pregunta 8 (10 puntos)
Inductive Reasoning is a process of figuring out what comes next in a pattern.

True
False
Pregunta 9 (10 puntos)
A sketch is another word for a drawing.

True
False

Answers

18

81 but not sure

25

11

20000

90

6

Am I right?

SITUACIÓN 2: Confecciones
Margarita tiene un taller de confecciones y está elaborando mascarillas de tela. Esta semana sus pedidos de mascarillas han disminuido a la mitad por lo que deberá comprar 50 % menos de tela para confeccionar mascarillas. ¿Cuál de las siguientes representaciones muestra de mejor manera las cantidades de tela que necesitará Margarita cada semana? Argumenta tu respuesta.

Answers

Answer:

La representación que muestra de mejor manera las cantidades de tela que necesitará Margarita cada semana es:

Representación A.

Step-by-step explanation:

Como puedes identificar del enunciado, es ÉSTA semana en la cual los pedidos de mascarillas han disminuído a la mitad (o 50%, que sería lo mismo), por lo tanto, es en esta semana cuando el pedido de tela va a disminuir a la mitad, además debes identificar que el enunciado hace énfasis en que sus pedidos han disminuído, por lo cual puedes deducir que regularmente sus pedidos de mascarillas son el doble de lo solicitado en esta semanal, considerándose lo ocurrido en ésta semana como una anomalía, teniendo en cuenta esto, la próxima semana seguramente los pedidos volverán a la normalidad, necesitándose el doble de tela que en esta semana.

En la representación A puedes ver que se representa la cantidad de tela de ésta semana con un rectángulo, lo cual podría considerarse una unidad, y ya que sabemos que la próxima semana las confecciones de mascarillas seguramente regresarán a la normalidad, es lógico que la cantidad de tela requerida será el doble, así pues, si en esta semana se requirió una unidad de tela, en la proxima semana se requerirán dos, por lo cual la única opción que cumple con estos parámetros es la A.

What is 0.76 as a fraction is 79/100

Answers

Answer:

what

Step-by-step explanation:

Problem
Lines A, B, and C show proportional relationships.
Which line has a constant of proportionality between y and x of 1?

Answers

Answer:

Answer is B

Step-by-step explanation:

Astrid is in charge of building a new fleet of ships. Each ship requires 40 tons of wood, and accommodates
300 sailors. She receives a delivery of 4 tons of wood each day. The deliveries can continue for 100 days at
most, afterwards the weather is too bad to allow them. Overall, she wants to build enough ships to
accommodate at least 2100 sailors.
How much wood does Astrid need to accommodate 2100 sailors?

Answers

Answer:

it requires 280 ton of wood

Step-by-step explanation:

one ship can accommodate 300 sailors so for 2100 sailors you need

2100/300

7 ships

and as I ship require 40 tons of wood then 7*40

280 tons

then

he can get 4 ton of wood per day

then

280/4

70 days

therefore he needs wood for 70 days to accommodate 2100 sailors

Como lo hago ?
ayúdenme por favor

Answers

la respuesta para la ecuación es -5

please helpppppppppp :(

Answers

The answer to this problem is c

im confused what is 89x38

Answers

Answer:

3382

Step-by-step explanation:

Answer:

The answer to the problem is 3382

Who Wants Brainliest?

Answers

B) 2,1 because I was the best plugging in those equations

I need help finding (x) if you can I will crown u a brainliest:)

Answers

Answer:x =18

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

The sum of angles in this shape is equal to 360° one of the angle is given as 90°

so 90 + 5x = 360

5x = 270 divide both sides by 5

x = 54

A recipe calls for 4 carrots for every 2 cups of water. Which expression can be used to find the number of carrots needed
for 1 cup of water?
4 carrots
2 cups of water
4 cups of water
2 carrots
2 carrots
4 cups of water
2 cups of water
4 carrots

Answers

Answer:

2 carrots for 1 cup of water

Answer:

2 carrots for one cup of water

Step-by-step explanation:

what is the equivalent expression of 0.5%

Answers

Answer:

0.005

Step-by-step explanation:

[tex]0.5 \% \: = \frac{0.5}{100} = 0.005[/tex]

180+8x=160+6x help me find x

Answers

Answer:

x = -10

Step-by-step explanation:

Step 1: Write equation

180 + 8x = 160 + 6x

Step 2: Solve for x

Subtract 6x on both sides: 180 + 2x = 160Subtract 180 on both sides: 2x = -20Divide both sides by 2: x = -10

Step 3: Check

Plug in x to verify it's a solution.

180 + 8(-10) = 160 + 6(-10)

180 - 80 = 160 - 60

100 = 100

HELP PLEASE! 50 POINTS AND WILL MARK BRAINLIEST.

Bobby charges $10. per lawn he mows, and an additional $5. per hour.
a) Find the independent and the dependent variables.
b) Write a linear function that models the wage of Bobby per lawn.
c) If Bobby work for 3.5 hours on a lawn, how much does he earn?

Answers

Answer:

a) independent = hours

   dependent = wages

b ) W = 10 + 5h

c)27.50

Step-by-step explanation:

The independent variable is the one that you change which is the number of hours that it takes

The dependent variable is the variable that changes based on the independent variable.  The wages depends on the hour worked so the wages are the independent variable

The wages equal the fixed cost plus the hourly rate times the number of hours  where W is the wages and h is the number of hours

W = 10 + 5h

W = 10 + 5( 3.5)

    = 10 + 17.5

    = 27.5

Austin is planning a canoe trip with his dad and brother. They are taking a cooler and
a few supplies that weigh a total of 89 pounds with them. The canoe has a maximum
weight limit of 765 pounds. Which inequality can be used to find p, the average
allowable weight in pounds for each person in the canoe?
PLZ HURRY ITS DUE IN 30 minutes

Answers

Answer:

Step-by-step explanation. Cccccccccccc

:

brainliest for correct answer

Answers

Answer:

x = 21

Step-by-step explanation:

By the corresponding angle theorem, we can find that the measure of the smaller angle made by transversal and m is 54°.

Using the vertical angle theorem, we can find that the missing angle is the triangle, the two known angles are 4x and 2x, is also 54°.

Since the sum of the interior angles of a triangle is always equal to 180°, we can make the equation:

2x + 4x + 54 = 180

Now we solve for x. Subtract 54 from both sides and combine like terms.

6x = 126

Divide both sides by 6.

x = 21

and now we have found the value of x. x = 21.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

x=21°

Step-by-step explanation:

Relations Between Angles

We need to recall two basic relations:

* Two angles opposite by crossing lines are always equal.

* The sum of angles in a triangle is 180°

We'll add some variables to the image, so x is easier found. Please check the image below.

The angles U and 54° are opposite and they must be equal, thus U=54°

Since m and n are parallel and they are crossed by a line, the angles V and U are equal, thus V=54°

Finally, The sum of the angles inside the triangle RST must be equal to 180°:

2x+4x+54=180

Joining like terms:

6x=180-54=126

Solving:

x=126/6

x=21°

I need help please need this fast

Answers

Answer:

bank withdraw -24

temperature +24

game -24

hole -24

Step-by-step explanation:

I need it fast, I'm timed ​

Answers

Answer:

It is B

Step-by-step explanation:

Plug each value possible into the equation

(48+x) / 31   =    x/15

If both sides are equal when you plug x in, it's correct

If they aren't equal, it is wrong.

How did I get this equation?

Lets use proportions to solve.

Since they are similar, (the two triangles are similar, meaning that they have the same ratio of the y and x axis values) you can use proportions meaning you make it so x over 15 is equal to the total length by the total bottom length.

If you plug 45 in as x, you get (48 + 45) divided by 31 is equal to 45/15

If you simplify the equation, you get 93 divided by 31 is equal to 3, of which 93 divided by 31 is 3

I think you know that 3=3

so it is correct.

Trent told his friends it would take him 90 minutes to mow the lawn. It only took him
75 minutes. What is his percent error?

Answers

Answer:

The answer is 16%

Step-by-step explanation:

use the percent error formula.

[tex]\frac{|E-T|}{|T|} *100[/tex]

in this problem,

e= 75

t=90

substitute and solve.

[tex]\frac{|75-90|}{|90|} *100\\\frac{|-15|}{|90|}*100\\\\ .16667*100\\[/tex]

16%

we are dealing with percents so rounding to nearest whole number will suffice.

hope this helps!

Can you help me with this question

Answers

Answer:

the first one

Step-by-step explanation:

The answer would be the first option which is y= 3/5x -2

PLEASEEE ANSWERRRR!
Which steps show how to use the distributive property to evaluate 6.49?
O A. 6(49) = 6(50 – 1) = 6.50 +6.1 = 300 + 6 = 306
O B. 6(49) = 6(50 – 1) = 6 - 50 – 6.1 = 300 – 6 = 294
C. 6(49) = 6(50 – 1) = 6 - 50 – 50 · 1 = 300 – 50 = 250
O D. 6(49) = 6(50 – 1) = 6.50 – 1 = 300 – 1= 299

Answers

Answer:

Correct Choice: B. 294

Step-by-step explanation:

The distributive property allows modifying expressions in the form of a(b + c) into the form ab+bc.

If we wanted to express the product 6*49 as 6*(50-1), then applying the distributive property we have:

6*(50-1)=6*50-6*1

6*(50-1)=300-6

6*(50-1)=294

Correct Choice: B. 294

Answer:

Answer is B = 294

Step-by-step explanation:

Solve 5(x + 3) = 2x+3

Answers

Answer:

5x+15=2x+3

5x-2x=-15+3

3x=-12

x=-4

Step-by-step explanation:

PLEASE HELP!!!
IM FAILING MATH!

Answers

Y=1.5x, hope this helps
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