By rewriting the formula for the multiplication rules you can write a formula for finding conditional probabilities. The conditional probability of event b Occurring giving that event a has occurred is
The probability that an airplane flight departs on time is 0.91
The probability that a flight arrives on time is 0.89.
The probability that a flight departs and arrives on time is 0.84
The probability that a flight departed on time given that it arrives or
(Round to the nearest thousandth as needed

QUESTION 1

[tex]cos\ \theta = \frac{12}{13}\\\theta = cos^{-1}\frac{12}{13} = 22.62\textdegree = 0.3948\ (\text{radians})[/tex]

QUESTION 2

[tex]\frac{3\pi}{2} < \theta < 2\pi\ \text{then find}\ sin(2\theta)[/tex]

First, the fact that we have [tex]sin(2\theta)[/tex] means we have to adjust our range

[tex]\frac{3\pi}{2} < \theta < 2\pi\ \ \text{becomes}\ \ 3\pi < 2\theta < 4\pi\[/tex]

[tex]sin\ 2\theta = \frac{3\pi}{2}\\2\theta = sin^{-1} \frac{3\pi}{2}\\2\theta = \text{error}[/tex]

There are no solutions to inverse sin of  [tex]\frac{3\pi}{2}\\[/tex]

Your answer is (3,6)

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(3,6)

Your Answer:

Your answer is (3,6)

Answer:

(1,5) (7,13) (10,17) (7,13)

Step-by-step explanation:

1 4  7  10  13

5 9 13 17 21

Step-by-step explanation:

2nd one

we need 3 2/5 that is 3+ 2/5

-7 1/5 = -7-1/5

so 2nd one

Answer:

Step-by-step explanation:

Givens

Circle:      3 grams       Number:  1  right hand side Number LHS: 2

Square:   2 grams        Number:  2 Number LHS: 5

Triangle: x                    Number:  5  Number LHS: 2

Formula

Mass RHS   = Mass LHS

Solution

3*1 + 2*2 + 5x = 3*2 + 5*2 + 2*x        Combine

3 + 2 + 5x = 6 + 10 + 2x

5 + 5x = 16 + 2x                                 Subtract 5 from both sides

5-5+5x = 16-5 + 2x                            Combine

5x = 11 + 2x                                       Subtract 2x from both sides

3x = 11                                               Divide by 3

x = 11/3

As you can see, I'm not getting any of the answers that you have provided. Ask your teacher how it was done. (The method used is correct).

Answer:

The exponential function, exp : R → (0,∞), is the inverse of the natural logarithm, that is, exp(x) = y ⇔ x = ln(y). Remark: Since ln(1) = 0, then exp(0) = 1. Since ln(e) = 1, then exp(1) = e.

Step-by-step explanation:The exponential function, exp : R → (0,∞), is the inverse of the natural logarithm, that is, exp(x) = y ⇔ x = ln(y). Remark: Since ln(1) = 0, then exp(0) = 1. Since ln(e) = 1, then exp(1) = e.

Answer:

Answer to part A:

1 notebook = $2.5

1 pen = $1.5

Answer to part B:

           = 3 pens.

Step-by-step explanation:

4n + 3p = $14.50

5n + 6p = $21.50

5(4n + 3p) = $14.50

4(5n + 6p) =$ 21.50

20n + 15p = $72.50

20n + 24p = $86

20n - 20n        = 0

15p - 24p         = -9p

$72.50 - $86   = -$13.5

-$13.5 ÷ -9 = $1.5p

4n + 3p = $14.50

4n + 3($1.5) = $14.50

4n + $4.5 = $14.50

4n = $14.50 -  $4.5

4n = $10.00

n = $2.5

1 notebook = $2.5

1 pen = $1.5

1 ($1.5) = 3($2.5)

$1.5 + $7.5 = $9.0

$27 ÷ 9 = $3

3 ( $1.5 + $7.5 ) = 3 ( $9.0 )

( $4.5 + $22.5 ) = ( $27 )

  $4.5 + $22.5 = $27

           = 3 pens.

Answer:

Step-by-step explanation:

Sam published his first book, a collection of poetry, at the age of 16.

[tex] m \angle B = 22 \degree[/tex]

Explanation:

Given:

[tex]\sf m \angle A = 120 \\ \sf m\angle B =x \\\sf m \angle C = x+16[/tex]

To find:

[tex]\sf m\angle B \: = ?[/tex]

Solution:

We know that,

sum of all the interior angle of triangle equals 180 degrees.

[tex]\sf m \angle A + m\angle B + m \angle C = 180 \degree \\ \sf 120 + x + x + 16 = 180 \degree \\ \: \sf 2x+136= 180\degree \\ \: \sf 2x=180-136 \\ \:\sf 2x=44 \degree \\ \sf \: x= \frac{44}{2} \\ \:\sf x= 22 \degree[/tex]

Measure of angle B is equal to x hence,

[tex] m \angle B = 22 \degree[/tex]

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The exponential regression that shows the relationship between the number of subcribers in millions (y) since 1990 is y = 4.9(1.37)ˣ

Let y represent the amount of subscribers in millions, x years since 1990.

From the table; at point (0, 4.9):

y= abˣ

4.9 = ab⁰

a = 4.9

At point (10, 118.1)

118.1 = 4.9(b)¹⁰

b = 1.37

The exponential regression that shows the relationship between the number of subcribers in millions (y) since 1990 is y = 4.9(1.37)ˣ

Find out more on exponential function at: https://brainly.com/question/12940982

Answer:

It's A!

Step-by-step explanation:

A good strategy to pay down the principal of the student loan is making payments in monthly instalments, the correct option is A.

A student loan is the amount borrowed by a student from a bank or any other financial institution for studies.

The borrowed amount is large and it becomes a burden if decided to pay all at once after studies on getting a job, a monthly payment of instalments is the right strategy.

To know more about Student Loan

https://brainly.com/question/3267326

#SPJ2

Answer:

The ten-thousands place. :)

Step-by-step explanation:

Answer:

Ten thousands place.

Answer:

[tex]\displaystyle 5,9708213214...\:in.[/tex]

Step-by-step explanation:

[tex]\displaystyle {\pi}r^2 = A \\ \\ \frac{{\pi}r^2}{\pi} = \frac{112}{\pi} \hookrightarrow \sqrt{35,650707253...} = \sqrt{r^2} \\ \\ \boxed{5,9708213214... = r}[/tex]

I am joyous to assist you at any time.

Answer:

Question 1: 59

Step-by-step explanation:

Question 1: 11.80*5=59

Answer:

b and d i think hope this helps

Step-by-step explanation:

Look at the screenshot.

The interest rate Mr Frank must invest his money is at 10% per year compounded monthly

That is option 1.

The amount for Mr Frank's son school fees = R60 000.00

Cash at hand( principal amount) = R46 150.30

Therefore the simple interest needed to make up R60 000.00= R60 000.00 - R46 150.30= 14,849.70

Time of investment = 3 years

Therefore the rate = simple interest × 100/ principal×time

Rate (R) = 14,849.70 × 100/ 46 150.30× 3

= 1,484,970/135,450.9

= 10.0%

Therefore, the interest rate Mr Frank must invest his money is at 10% per year compounded monthly.

Learn more about simple interest here:

https://brainly.com/question/25793394

17min

hope it helps...!!

Answer:

17 minutes

Step-by-step explanation:

Between 2:43 pm and 3:00 pm is 17 minutes. This means that by 3:00 pm, Kevin will have spent 58 minutes (75-17). By 3:58 pm, Kevin will have been done with this test. From 3:58 pm to 4:00 pm is 2 minutes in addition to the 15 minutes (4:15 pm) is 17 between the end of the test and the beginning of football practice.

Answer:

The answer is x(4)

Step-by-step explanation:

you multiply

Answer:

20 ml

Step-by-step explanation:

100 mg / ( 5mg /ml)  = 20 ml

The number of years it will take the balance to reach $5,518.73 with annual compounding is  9.87 years.

When an account earns annual compounding, it means that both the interest accrued and the amount deposited increases in value once a year.

The formula that can be used to determine the number of years is:

Number of years =  (In FV / PV) / r

(in 5518.73/4228) / 0.027 = 9.87 years

To learn more about how to determine the number of years, please check: https://brainly.com/question/21841217

Answer:

8

Step-by-step explanation:

put in '2' where 'x' is

2 (2^2) + 3 ( 2) - 6 = 8

Answer:

in third quadrant... i thinkso

20 × 4 = 80chapters

hope it helps...!!!

Answer:

Destin

Step-by-step explanation:

Only one that passes 85

Amy is considering visiting her new friend at one of his beach houses she chooses to visit  Destin and 85.

Amy is considering visiting her new friend at one of his beach houses in Florida.

She really loves the warm weather,

So she would like to choose to go somewhere with a high median temperature, and a small interquartile range.

We have to determine the place should she choose to visit.

The interquartile range is a measure of where the middle fifty is in a data set.

Destin HI 70 75 80 85.

Here She can choose the 4th position and which is 85.

The only one that passes 85.

Amy is considering visiting her new friend at one of his beach houses she chooses to visit  Destin and 85.

To learn more about the range visit:

https://brainly.com/question/10197594

Answer:

12 acres

Step-by-step explanation:

30+45+5 = 80 so theres 20% left.

20% of 60 is 12