Mathematics High School

Each time Caroline goes shopping she decides whether or not to buy fruit.
The probability that she does buy fruit is 0.4.
Independently, she then decides whether or not to buy a CD, with a probability of 0.3 that she does buy a CD.
Work out the probability that she buys fruit or buys a CD or both.

Answers

Answer 1

Answer:  0.58

Step-by-step explanation:

Step 1 : Caroline buys fruit and buys cd ( buys both) = 0.12      ( 0.4 x 0.3)

Step 2 : Caroline buys fruit and not cd =  0.28                          ( 0.4 x 0.7)

Step 3 : Caroline doesn't buy fruit but buys cd = 0.18               ( 0.6 x 0.3 )

STEP 4 (FINAL STEP) : Add all the probabilities ( 0.12 + 0.28 + 0.18)

Answer 2

Answer: 0.58

Step-by-step explanation:

 

Step 1 : Caroline buys fruit and buys cd ( buys both) = 0.12      ( 0.4 x 0.3)

Step 2 : Caroline buys fruit and not cd =  0.28                          ( 0.4 x 0.7)

Step 3 : Caroline doesn't buy fruit but buys cd = 0.18               ( 0.6 x 0.3 )

STEP 4 (FINAL STEP) : Add all the probabilities ( 0.12 + 0.28 + 0.18)

ANSWER =  0.58

Related Questions

What is the length in centimeters of the hypotenuse of the right triangle below?
2 cm
8 cm

Answers

Answer:

Step-by-step explanation:

WASSUP

Troy graphed the line y = 5x - 2. Sarah graphed the line y = 5x + 2 on the same set of coordinates.
Which statement describes how the graph of Sarah's line compares to the graph of Troy's line?

Answers

Answer:

(6, -30) ⇒ A

(-3, 15) ⇒ D

(1, -5) ⇒ E

Step-by-step explanation:

Answer: It’s A

Step-by-step explanation:

4. What expression represents the width of the room?

Answers

Answer:

35-4

Step-by-step explanation:

Answer:

Let x = represents the width

m.

Step-by-step explanation:

hope that helps -w-

I have a math test in an hour and a half. It’s about algebraic word problems. Can someone help me. I’m really struggling in maths and might fail

Answers

Answer:

yes I can try to help you what I can

Algebraic Expressions Word Problems -
WORD PROBLEMS require practice in translating verbal language into algebraic language. See Lesson 1, Problem 8. Yet, word problems fall into distinct types. Below are some examples.
Example 1. ax ± b = c. All problems like the following lead eventually to an equation in that simple form.
Jane spent $42 for shoes. This was $14 less than twice what she spent for a blouse. How much was the blouse?
Solution. Every word problem has an unknown number. In this problem, it is the price of the blouse. Always let x represent the unknown number. That is, let x answer the question.
Let x, then, be how much she spent for the blouse. The problem states that "This" -- that is, $42 -- was $14 less than two times x.
Here is the equation:
2x − 14 = 42.

2x = 42 + 14 (Lesson 9)

= 56.

x = 56
2

= 28.
The blouse cost $28.
Example 2. There are b boys in the class. This is three more than four times the number of girls. How many girls are in the class?
Solution. Again, let x represent the unknown number that you are asked to find: Let x be the number of girls.
(Although b is not known -- it is an arbitrary constant -- it is not what you are asked to find.)
The problem states that "This" -- b -- is three more than four times x:
4x + 3 = b.
Therefore,
4x = b − 3

x = b − 3
4 .
The solution here is not a number, because it will depend on the value of b. This is a type of "literal" equation, which is very common in algebra.
Example 3. The whole is equal to the sum of the parts.
The sum of two numbers is 84, and one of them is 12 more than the other. What are the two numbers?
Solution. In this problem, we are asked to find two numbers. Therefore, we must let x be one of them. Let x, then, be the first number.
We are told that the other number is 12 more, x + 12.
The problem states that their sum is 84:
word problem = 84
The line over x + 12 is a grouping symbol called a vinculum. It saves us writing parentheses.
We have:
2x = 84 − 12

= 72.

x = 72
2

= 36.
This is the first number. Therefore the other number is
x + 12 = 36 + 12 = 48.
The sum of 36 + 48 is 84.
Example 4. The sum of two consecutive numbers is 37. What are they?
Solution. Two consecutive numbers are like 8 and 9, or 51 and 52.
Let x, then, be the first number. Then the number after it is x + 1.
The problem states that their sum is 37:
word problem = 37
2x = 37 − 1

= 36.

x = 36
2

= 18.
The two numbers are 18 and 19.
Example 5. One number is 10 more than another. The sum of twice the smaller plus three times the larger, is 55. What are the two numbers?
Solution. Let x be the smaller number.
Then the larger number is 10 more: x + 10.
The problem states:
2x + 3(x + 10) = 55.
That implies
2x + 3x + 30 = 55. Lesson 14.

5x = 55 − 30 = 25.

x = 5.
That's the smaller number. The larger number is 10 more: 15.

Tres croissants y dos ensaimadas nos ha costado 6,10Є si recordamos que el precio ce una ensaimada es 0,30Є más caro que el de un croissant. ¿cual es el precio de una ensaimada y cual es de un croissant?

Answers

Answer:

Step-by-step explanation:

3c + 2e = 6.10

e = c + 0.30

3c + 2(c + 0.30) = 6.10

5c + 0.60 = 6.10

5c = 5.50

c = 1.10 Є

e = c + 0.30 = 1.40 Є

Answer i will brainlist

Answers

Answer:

flour:

20

35

40

liquid:

12

21

24

Step-by-step explanation:

First blank is 12

second blank is 30

3rd blank is 40

Step-by-step explanation:

5 to 3 to get 12 you have to seee how many times you have to multiply 5 by to get 20 in this case it is 4. SO then you multiply 3 by 4 to 12 for liquid. Same steps to get the other answers.

I just failed algebra for the third time someone help pls
Just tell me what to do

Answers

Answer:

study lol

Step-by-step explanation:

Please help I will give you BRAINLIEST for the correct answer

Answers

Answer: G is one B is one and F is one

Step-by-step explanation:

Answer:

15.27    10.18        

you have toadd them till you get the stuff

Step-by-step explanation:

make sure you x it to

If each of the numbers in the following data set were multiplied by 26, what
would be the new median of the data set?
14, 20, 18, 58, 71, 36
O A. 728
OB. 520
O C. 936
O D. 676

Answers

Answer:

Step-by-step explanation:

728 answer is C

What is 48901x120412/12321 with a fraction of 6/9 + 29181041/21841x2912311203? It was one of my math questions couldn't find it online soooo??

Answers

4468886443222234578889953

Help me pls pls pls thanks I

Answers

Answer:

T (3 , -6)   O ( -6 , -4) and M (-9 , 6)

Step-by-step explanation:

(x , y) -> (-x , -y)

Please help quarter ends tomorrow and I don’t know what to do I’m failing all my classes

Answers

x+10*=4x-32*4x-x=32+103x=42*×=14*

14x4=56*-32*=24*

from E to B is 180 degree so take 180-24=156*

angle EMQ is equal to angle DMB so=156 degree

answ=156

Billy had a pie that he baked.He cut it into 5/8 he then gave 2/8 away. How much of the pie did bill have left.

Answers

6/8 because it was in 8ths meaning 8 pieces and he gave 2 away so he still has 6/8 remaining

helicopter flies 152 miles in 1 hour 54 minutes. Calculate the average speed.

Answers

Answer:

80mph?

Step-by-step explanation:

The answer is 80 mph

What is the value of x?​

Answers

Answer:

98°

Step-by-step explanation:

x = 53° + 45° { exterior angle of a triangle is equal to the sum of two opposite interior angles }

x = 98°

Solve the equation and check the solution.
1 1
O a=1
1
O a = 3
2
O a=4
o
1
a = = 4
2

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Equation: }\mathsf{a - 2\dfrac{1}{2} = 1\dfrac{1}{2}}[/tex]

[tex]\large\text{You have to SIMPLIFY the BOTH SIDES of the given EQUATION}[/tex]

[tex]\mathsf{-2\dfrac{1}{2}=\bf -\dfrac{5}{2}}[/tex]

[tex]\mathsf{1\dfrac{1}{2}=\bf \dfrac{3}{2}}[/tex]

[tex]\large\text{New equation: }\mathsf{a + \dfrac{-5}{2}= \dfrac{3}{2}}[/tex]

[tex]\large\text{ADD by }\mathsf{\dfrac{5}{2}}\large\text{ to BOTH SIDES}[/tex]

[tex]\mathsf{a + \dfrac{-5}{2}+\dfrac{5}{2}= \dfrac{3}{2}+ \dfrac{5}{2}}[/tex]

[tex]\large\text{Cancel out: }\mathsf{-\dfrac{5}{2}+ \dfrac{5}{2}}\large\text{ because it gives you 1}[/tex]

[tex]\large\text{Keep: }\mathsf{\dfrac{3}{2}+\dfrac{5}{2}}\large\text{ because it helps solve for \bf a}[/tex]

[tex]\large\text{New equation: }\mathsf{a = \dfrac{3}{2}+\dfrac{5}{2}}[/tex]

[tex]\mathsf{\dfrac{3+5}{2\ \& \ 2}}[/tex]

[tex]\mathsf{3 + 5 = 8}[/tex]

[tex]\mathsf{2\ \& \ 2=2}[/tex]

[tex]\large\text{Equation: }\mathsf{a = \dfrac{8}{2}}[/tex]

[tex]\large\text{Simplify above and you have the \bf a value}\uparrow[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf a = 4}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

PLEASE HELP !!!!!!!!!!!!!!!!!!!

Answers

Remember when your rotating 180 around the origin you multiply by -1
The coordinated on the image is
H = (2,0) F= (4,-2) D= (-2,-3)
So multiplied by -1 is
H= (-2,0) F= (-4,2) D=(2,3)

Monica deposits $100 into a savings account that pays a simple interest rate of 3.8%. Paul
deposits $200 into a savings account that pays a simple interest rate of 2.5%. Monica says that
she will earn more interest in 1 year because her interest rate is higher. Is she correct? Justify your
response

Answers

Answer:

Paul

Step-by-step explanation:

Paul earn more than monica. Though he is getting less interest but because of his higher initial amount he is getting more return.

Computing the return of both

Monica return is  100*3.4%= $3.4 in a year

Paul return is 200*%2.2=  $4.4 in a year.

Answer:

3.3

multiply all the number in pairs then you have to add both number 3.3

PROOFS !! help me fill in the blanks

Answers

Answer:

this making ur email.... I think we shouldn’t be doing this. People can get into ur account .

‘Anyways, all u need to do is put ur real first name, last name, make a password THAT NO ONE SHOULD KNOW, confirm it again, and make ur email. DONT SHARE INFO WITH OTHERS

Integer that describes debit of $40

Answers

Answer:

+40

Step-by-step explanation:

+40 hope this helps

There are 12 inches per foot. How many feet is 96 inches? Enter only the number.

Answers

8, the answer needs to be more than a certain amount of characters.
8 feet is the correct answer!But just enter 8 when you put in the answer. Otherwise, you'll get it wrong.96 ÷ 12 = 8Please let me know if I am wrong.

Pls help will mark brainliest

Answers

Answer:

750

Step-by-step explanation:

What is mArc SU?

49°
77°
98°
161°

Answers

Answer:

77°

Step-by-step explanation:

By the property of intersecting tangent and secant outside of a circle:

[tex]21 \degree = \frac{1}{2} ( 119 \degree - \widehat{SU} ) \\ \\ 42 \degree = 119 \degree - \widehat{SU} \\ \\ \widehat{SU} =119 \degree - 42 \degree \\ \\ \widehat{SU} =77\degree \\ \\ [/tex]

The mArc SU is option (B) 77 degrees

What is Tangent?

A straight line or plane that touches a curve or curved surface at a point, but if extended does not cross it at that point.

What is secant ?

A secant is a line that intersects a circle in exactly two points.

Here,

By the property of intersecting tangent and secant outside of a circle:

[tex]T=\frac{1}{2}(RU-SU)[/tex]

Here

T= 21 degrees

RU is the mArc RU = 119 degrees

Then,

[tex]21 =\frac{1}{2}(119-SU)\\ 42=119-SU\\SU=119-42[/tex]

SU = 77 degrees

Hence, the mArc SU is option (B) 77 degrees

Learn more about Tangent and secant here

https://brainly.com/question/15178974

#SPJ2

Someone plz help me

Answers

Answer:

Decagon

Step-by-step explanation:

A decagon has 10 vertices. which is greater than the number of vertices a pentagon, hexagon, and octagon has

I think it is decagon

Pleas help me solve the following inequality and graph the solution set on the number line
2(x-3)-5x≤9

Answers

Answer:

x≥ -5

Step-by-step explanation:

Find the total price of the following item. Dress: $69.00 Tax: 5%​

Answers

Answer: 72.45

Step-by-step explanation: Hopef this helps

Answer:

I know I shouldn't be using this, but How did you guys get the answer??? I need an explanation please!

What is Your Budget?
Task 2
Directions:
You are offered a job with a starting annual salary of $50,000 and two options for
determining your annual raise:
Option 1: An annual raise of $3,000 per year.
Option 2: A 5% raise each year.

Answers

Option 1 I think i’m not positive though

help if you can please

Answers

Answer:

a. iii

b. ii

c. i

d. v.

e. iv

Step by Step:

If 8 students want to share 62 gallons of water for a water balloon fight,
how many gallons of water should each student get?

Answers

Answer:

Each student should get 7:75 gallons of water

Step-by-step explanation:

Do 62 divided by 8

Point E is the midpoint of side BC of parallelogram ABCD, and point F is the midpoint of side AD. prove that quadrilateral BEDF is a parallelogram

Answers

9514 1404 393

Explanation:

Here is one way to go about it.

Statement . . . . Reason

1. AD ≅ BC, AD║BC, E & F are midpoints of BC, AD . . . . given

2. (1/2)AD ≅ (1/2)BC . . . . multiplicative property of congruence (equality)

3. DF = (1/2)AD, BE = (1/2)BC . . . . definition of midpoint

4. DF ≅ BE . . . . substitution property of congruence

5. BE║DF . . . . segments of parallel lines are parallel

6. BEDF is a parallelogram . . . . BE ≅ DF, BE║DF, definition of parallelogram

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