A college student is taking two courses. The probability she passes the first course is 0.67. The probability she passes the second course is 0.7. The probability she passes at least one of the courses is 0.79. Give your answer to four decimal places. a. What is the probability she passes both courses

Answers

Answer 1

Answer:

0.58 = 58% probability she passes both courses

Step-by-step explanation:

We can solve this question treating the probabilities as a Venn set.

I am going to say that:

Event A: She passes the first course.

Event B: She passes the second course.

The probability she passes the first course is 0.67.

This means that [tex]P(A) = 0.67[/tex]

The probability she passes the second course is 0.7.

This means that [tex]P(B) = 0.7[/tex]

The probability she passes at least one of the courses is 0.79.

This means that [tex]P(A \cup B) = 0.79[/tex]

a. What is the probability she passes both courses

This is [tex]P(A \cap B)[/tex].

We use the following relation:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

So

[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.67 + 0.7 - 0.79 = 0.58[/tex]

0.58 = 58% probability she passes both courses


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Answers

Answer:

...

Step-by-step explanation:

Answer:

Ok

Step-by-step explanation:

lolahsusnakaijaahasjssn

60÷(63÷7)=
I don't understand plz help​

Answers

Answer:

answer is simple

first we will solve the bracket

(63÷7)

it is 9

and then 60÷ 9

which gives 6.67

need help geometry be serious

Answers

Angle A would be the correct one

Show three ways to
quarter a circle.
OOO

Answers

Answer:

um i.....

dont know

Step-by-step explanation:

Guys help me with this question please

Answers

Answer:

2/7

Step-by-step explanation:

From 8 am to 3 pm, there are 7 hours, and the price changed $2 (52 - 50 = 2)

In order to find the Change in price per hour, divide the total price change by the number of hours. (in most questions with the word "per", it is a division problem)

2$ / 7hrs = 2/7 dollars per hour

the answer is 2/7 if you work out the problem

pls help me i dont know how to do it

Answers

I would start by multiplying both sides of the inequality by 4 to eliminate the fraction

y + 8 >/= 12
Then subtract 8 from both sides
y >/= 4

Because it is greater than OR equal to, when you graph, you use a solid circle. Greater than means the arrow goes to the right on the line.

So, solid circle on the line on 4, arrow pointing to the right. (Third option from the right)

A shoe store is selling a pair of shoes for $60 that has been discontinued by 25%. What was the original selling price?
show your work plssss!!

Answers

Answer:

$80

Step-by-step explanation:

The shoe is being sold for 75% (100%-25%) of the original price. So in order to calculate the original price, divide the discounted price ($60) by 75%.

60/0.75 = 80

A school luncheon made $630. Adult tickets cost $11 each and child tickets cost eight dollars each. The number of children was half the number of adults. How many of each ticket were sold?

Answers

Hello! Lets first start with defining our variables:
a = adult tickets
c = child tickets
Now let’s set up a system of equations:
11a + 8c = 630
c = 1/2a (this can be confusing to some people but the CHILDREN TICKETS = HALF THE ADULT TICKETS)
Ok now we have to solve this:
11a + 8c = 630
c= 1/2a [you can solve this system of equations using substitution!]
11a + 8(1/2a) = 630
11a + 4a = 630
15a = 630
a = 42 (now we know our a value and we can plug that in to find c!)
c = 1/2a
c = 1/2(42)
c = 21
you can check this by plugging in your c and a value into both equations! I hope this helps! :)
Answer: a=42, c=21

which solution makes the equation true

6d=8(12-6)​

Answers

Answer:

d = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

6d = 8(12 - 6)

Step 2: Solve for d

(Parenthesis) Subtract:                                                                                     6d = 8(6)Multiply:                                                                                                             6d = 48[Division Property of Equality] Divide 6 on both sides:                                  d = 8

Solve the equation. Show your work, or explain your reasoning.
-4(y - 2) = 12

Answers

Answer:

y=-1

Step-by-step explanation:

Divide both sides by 4

y-2=-3

Then move -2 to -3 and change it's sign to a +

y=-3+2

Then solve for y

Consider the following statement. If n is divisible by 6, then n is divisible by 2 and n is divisible by 3.

Negation

a. n is divisible by 6 and either n is not divisible by 2 or n is not divisible by 3.
b. If n is not divisible by 2 or n is not divisible by 3, then n is not divisible by 6.
c. If n is divisible by 2 and n is divisible by 3, then n is divisible by 6.
d. If n is not divisible by 6, then n is not divisible by 2 or n is not divisible by 3.
e. If n is not divisible by 6, then n is divisible by 2 and n is divisible by 3.

Answers

Answer:

b. If n is not divisible by 2 or n is not divisible by 3, then n is not divisible by 6.

Step-by-step explanation:

Division by Six

A number is divisible by six if it is divisible by both 2 and 3.

Negation:

If the number is not divisible by either 2 or 3, it is not by 6. So the answer is given by option b.

b.

Step-by-step explanation:

Division by Six

A number is divisible by six if it is divisible by both 2 and 3.

Negation:

If the number is not divisible by either 2 or 3, it is not by 6. So the answer is given by option b.

Special Cases
8x+3-10x=2(x-2)+3

Answers

Answer:

x = 1

Step-by-step explanation:

8x + 3 - 10x = 2(x - 2) + 3

Distribute the 2

8x + 3 - 10x = 2x - 4 + 3

Combine like terms

-2x + 3 = 2x - 1

Add 1 to both sides

-2x + 4 = 2x

Add 2x to both sides

4 = 4x

Divide both sides by 4

x = 1

John began his job making $125 the first week. After that he ws paid $6.25 per hour. Write the equation in slope intercept form to represent the situation.

Answers

Answer:

y=6.25x+125

Step-by-step explanation:

Given that,

John began his job making $125 the first week. After that he was paid $6.25 per hour.

Here $125 is fixed and $6.25 increase per hour. It means we can write the equation as follows :

y = 125 + 6.25 x

The general equation for the slope-intercept form is given by :

y = mx+x

m is slope

So, the equation in slope intercept form is given by :

y=6.25x+125

Hence, this is the required solution.

a)  y= 0.05x + 16

b)  y= 6.25x + 125

c)  y= 2x + 10

d)  y= 3x + 5

Answer: B) y = 6.25x + 125

Help plxzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzxzxfde

Answers

Answer:

18 boxes lol

Step-by-step explanation:

the answer is 18 boxes

410÷24=17.083...

he needs to pack all of them so the answer is 18.

hope that helped.

Place the numbers +14/3 -4 -3.95 -13/3 and -4.25 from least to greatest

Answers

-4.25 ,-13/3 ,-4 ,14/3

Hope this helps

need help geometry ...........

Answers

Complete the statement :

[tex]\color{plum}\tt2x + 7° = \underline{65} \: degrees[/tex]

Steps to derive the correct solution :

The exterior angle corollary states that the measure of a triangle's exterior angle is the sum of the opposite interior angles of the exterior angle.

Which means :

∠36° + ∠x° = ∠(2x + 7)°

Let us solve this equation to find the measure of the exterior angle :

[tex] =\tt 2x + 7 = 36 + x[/tex]

[tex] = \tt2x + 7 - x = 36[/tex]

[tex] =\tt x + 7 = 36[/tex]

[tex] = \tt \: x = 36 - 7[/tex]

[tex] =\tt x = 29[/tex]

Thus, the measure of ∠x = 29°

Then, the measure of the exterior angle :

[tex] = \tt2 \times 29 + 7[/tex]

[tex] = \tt58 + 7[/tex]

[tex] = \tt65[/tex]

Thus, the measure of the exterior angle 2x+7 = 65°

Let us check whether or not we have found out the correct measure of each angle by placing 29 in the place of x:

[tex] = \tt2 \times 29 + 7 = 36 + 29[/tex]

[tex] =\tt 58 + 7 = 36 + 29[/tex]

[tex] = \tt65 = 65[/tex]

Since the measures match we can conclude that we have found out the correct value of each angle.

Therefore, ∠2x + 7° = 65°

if you bought a stock last year for a price of $120 and it has gone down 10% since then how much is the stock worth now

Answers

Answer:

$108

Step-by-step explanation:

Since $120 is divisible by ten, we can just simply do 120/10, which is twelve. So, 10% of $120 is $12. $120 - $12 = $108

HELP IMMIDIATELY MY TEACHER IS TIMING ME! 30 POINTS

Answers

Answer:

27 and 23

Step-by-step explanation:

I’m confused as to how to do this

Answers

answer:

you can research their distances online for suggestions

step-by-step explanation:

i don't really have anything else i can help you with, but let me know if your teacher provided you with any resources to help you with thisif i find anything out, i will edit my answer to put the right answer

How many division facts can you write to represent the factors of 15?

Answers

Answer:

4 division facts

Picture shows the questions

Answers

Answer:

121 cm

Step-by-step explanation:

12x13=156

7x5= - 35

________

121

Please help im confused

Answers

Answer:

RST

Step-by-step explanation:

The question is asking you to complete the congruence statement. In a congruence statement, the corresponding angles must be in the same order they are in, in the first half of the statement. In the first triangle <M=79, <N=60, and <O=42. So the other half must be in this same order. In the other triangle <R=79, <S=60, and <T=52, which is why the answer is RST.

1. Simplify the following expression. *
11/15 - 1/6

Answers

11/15= 11/15 - 1/6= 1/6
The answer is to this question is 17\30

Belle borrowed $18.275 to buy a new car. The interest rate she agreed to pay is 5%. If she takes 5 years to pay back the loan, how much will she owe?​

Answers

Answer:

$22843.75

Step-by-step explanation:

I'm assuming that $18.275 is $18,275

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 18275 × 0.05 × 5 = 4568.75

I = $ 4,568.75

The simple interest accumulated

on a principal of $ 18,275.00

at a rate of 5% per year

for 5 years is $ 4,568.75.

Answer:

$95943.75

Step-by-step explanation:

(assuming that its actually 18,275 and not 18.275)

18,275*1.05(5)

the amount borrowed (18,275)* the interest rate (1.05) *the number of years (5)

If the simple interest on $7,000 for 5 years is $2,800, then what is the interest rate?

Answers

Answer:

8%

Step-by-step explanation:

Solving our equation

r = 2800 / ( 7000 × 5 ) = 0.08

r = 0.08

converting r decimal to a percentage

R = 0.08 * 100 = 8%/year

The interest rate required to

accumulate simple interest of $ 2,800.00

from a principal of $ 7,000.00

over 5 years is 8% per year.

does anyone know 3²?

Answers

Answer:

It is 9.

Step-by-step explanation:

Help Help Help HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp HelpHelp Help

Answers

Answer:

120 birds

Step-by-step explanation:

35/100x= 42

x= 42*20/7= 120 birds

if mine helps please mark as brainliest

Answer:

Imari counted 13 cardinals, 35, sparrows, 23 chickadees, 8 blue jays, 4 woodpeckers, and 17 Robins.

Step-by-step explanation: So if you added all of that up, Imari counted 100 birds in total. It is just simple math. And that name "chickadees" is a funny name. HAHAHHAHAHAHAHH HAve a good day.

Which expression is equivalent to (8x - 1) (4x + 3) ?

Answers

Answer:

A

Step-by-step explanation:

multiplying both the equation

a chord subtends an angle of 34 at the center of a circle of radius 4cm find the length of the chord (take =22/7)​

Answers

Answer:

2.34 cm

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle at the centre (θ) = 34°

Radius (r) = 4 cm

Length of chord (C) =?

The length of the chord can be obtained as follow:

C = 2rSine(θ/2)

C = 2 × 4 × Sine(34/2)

C = 8 × Sine 17

C = 8 × 0.2924

C = 2.34 cm

Therefore, the lenght of the chord is 2.34 cm.

Which one is the answer.

Answers

Minus 1 on both sides
Divide by 3 on both sides
C 5 > 7/3
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