The probability that a plane departs on time at a certain airport is .87 The probability that a plane arrives on time given it departed on time is .93 Find the probability that a plane departed and arrived in time. Write answer to four decimals. 3 points

Answers

Answer 1

Answer:

0.9355

Step-by-step explanation:

What we will use here is conditional probability formula.

let A be the event that the plane departs on time

and B be the event that it arrives on time

P(A) = 0.87

P(B|A) = 0.93

P(B) = ?

P(A n B) = ?

Mathematically;

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

0.93 = 0.87/P(A)

P(A) = 0.87/0.93

P(A) = 0.935483870967742

which is 0.9355 to four decimal places


Related Questions

Which of these is a solution to the equation graphed below?

Answers

Answer:

see explanation

Step-by-step explanation:

Any point that lies on the line is a solution to the equation.

Thus

(0, 1 ), (2, 0 ), (- 2, 2), (4, - 1 ) are all solutions

Answer:

[tex]\boxed{(6, -2)}[/tex]

Step-by-step explanation:

Any of the points that lies on the line is the solution to the equation of the line.

(-2, 2), (0, 1), (2, 0), (4, -1), (6, -2) are all solutions.

If gear A has 400 teeth and drives another gear B with 1200 teeth. Determine gear ratio.

Answers

Divide the two numbers to find the ratio:

400 / 1200 = 1/3

The ratio is 1:3

Answer:

B

Step-by-step explanation:

Gear A has 400 teeth.

Gear B has 1200 teeth.

Write as a ratio of gear A to gear B.

400:1200

Simplify the ratio.

4:12

1:3

Tahmar knows the formula for simple interest is I = Prt, where I represents the simple interest on an amount of money, P, for t years at r rate. She transforms the equation to isolate P : P = P : P equals StartFraction I Over r t EndFraction.. Using this formula, what is the amount of money, P, that will generate $20 at a 5% interest rate over 5 years?
$

Answers

Answer:

80 dollars

Step-by-step explanation:

l=prt ⇒ p=l/rt

20=p(0.05)(5)

P=20/0.25=80 dollars

Answer:

The answer is $80

Step-by-step explanation:

I just got it right

Which of the points listed is the same distance from the y-axis as the point (-4,7.5)?

Answers

Answer:

(4,7.5)

Step-by-step explanation:

Reflect (-4,7.5) at the y-axis

Find the area of the shaded region
if the radius of the big circle is 12 cm.
PLEASE HELP!

Answers

Answer:

~226.195cm 2

Step-by-step explanation:

1. Because the shaded region is exactly one half of the circle, this means the Shaded area = 1/2 larger circle area

2. Calculate the area of the circle using the radius

3. Use that halved to get your final answer.

Hope this helped! Comment if you have any questions. :)

Find area of circle
Since the small semi circles have the same radius,assume that the colored one takes the other space
Thus it’s just the area of a semicircle of radius 12cm

Also,you can instead find area of small semicircles and the large semicircle
Add area of shaded semicircle to the large one and subtract the unshaded part

Any that you understand better is fine

Please mark as brainliest

the figure is cut into 6 equal pieces shade 1/3 of the figure.

Answers

Shade 2 pieces because 2/6 equals 1/3 hope this helps!

Answer:

Here,

The circle is cut into 6 equal parts.

It means all the piece of circle is divided forming 60°.

And according to the question we have shade its 1/3part.

means 1/3×360°

=120° so, we should shade 2 pieces of circle.

Hope it helps...

The governor of state A earns $53,745 more than the governor of state B. If the total of their salaries is $289,405, find the salaries of each.

Answers

Answer:

The salary of the governor of state A is $171,575 and the salary of the governor of state B is $117,830.

Step-by-step explanation:

If the governor of state A's salary is "x" and the governor of state B's salary is "y", then:

[tex]x = y + 53,745[/tex]

If the total of their salaries is $289,405, then the sum of x and y should be equal to that number.

[tex]x + y = 289,405\\[/tex]

Applying the first expression on the second allows us to solve for y as shown below.

[tex]y + 53745 + y = 289405\\2y = 289405 - 53745\\2y = 235660\\y = 117830[/tex]

Using this data on the first expression allows us to solve for the first governo's salary.

[tex]x = 117830 + 53745 = 171575[/tex]

The salary of the governor of state A is $171,575 and the salary of the governor of state B is $117,830.

Determine what type of model best fits the given situation: An Internet phone company presently provides service to 5,000 customers at a monthly rate of $20 per month. After a market survey, it was determined that for each $1 decrease in the monthly rate an increase of 500 new customers would result. A. linear B. quadratic C. none of these D. exponential

Answers

Answer:

The best fit is A. Linear model

Step-by-step explanation:

Given:

Monthly Rate = $20, Number of customers = 5000

If there is a decrease of $1 in the monthly rate, the number of customers increase by 500.

To find:

The type of model that best fits the given situation?

Solution:

Monthly Rate = $20, Number of customers = 5000

Let us decrease the monthly rate by $1.

Monthly Rate = $20 - $1  = $19, Number of customers = 5000 + 500 = 5500

Let us decrease the monthly rate by $1 more.

Monthly Rate = $19 - $1  = $18, Number of customers = 5500 + 500 = 6000

Here, we can see that there is a linear change in the number of customers whenever there is decrease in the monthly rate.

We have 2 pair of values here,

x = 20, y = 5000

x = 19, y = 5500

Let us write the equation in slope intercept form:

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

Slope of a function:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{5500-5000}{19-20}\\\Rightarrow -500[/tex]

So, the equation is:

[tex]y =-500x+c[/tex]

Putting x = 20, y = 5000:

[tex]5000 =-500\times 20+c\\\Rightarrow c = 5000 +10000 = 15000[/tex]

[tex]\Rightarrow \bold{y =-500x+15000}[/tex]

Let us check whether (18, 6000) satisfies it.

Putting x = 18:

[tex]-500 \times 18 +15000 = -9000+15000 = 6000[/tex] so, it is true.

So, the answer is:

The best fit is A. Linear model

Which is the value of this expression when p = 3 and q = negative 9? ((p Superscript negative 5 Baseline) (p Superscript negative 4 Baseline) (q cubed)) Superscript 0 Negative one-third Negative StartFraction 1 Over 27 EndFraction StartFraction 1 Over 27 EndFraction One-third

Answers

Answer:

Negative StartFraction 1 Over 27 EndFraction

(-1/27)

Step-by-step explanation:

Given expression

(P^-5)(p^-4)(q^3)

When

P=3 and q=-9

(P^-5)(p^-4)(q^3)

=(3^-5)(3^-4)(-9^3)

=(1/3^5)(1/3^4)(-9^3)

=(1/243)(1/81)(-729)

Multiply all numerators

We have,

= (-729)/(243)(81)

Multiply all denominators

= -729/19,683

= -1/27

Negative StartFraction 1 Over 27 EndFraction

Answer:

-1/27

Step-by-step explanation:

Assume EFG JKL. If m J = 90 , m K = 26 , and m L = 64 , what is the measure of E?

Answers

Answer:

I think its 90

Step-by-step explanation:

Answer:

E=90

Step-by-step explanation:

because EFG=JKL                                                                                                                                          E=J                      F=K                   G=L

The radii of two cylinders are in the ratio 1 : 4 and their heights are in the ratio 3 : 1. The ratio of their lateral surface area is ________. (a) 3 ∶ 4 (b) 4 : 3 (c) 9 : 16 (d) 16 : 9

Answers

Answer:

a

Step-by-step explanation:

Cylinders:

Ratio of radii = 1 : 4

Radius of two cylinders are: r , 4r

Ratio of height = 3 :1

Height of two cylinders are: 3h , h

Lateral surface area of cylinder =  2πrh

Ratio of lateral surface area= 2π* r * 3h   : 2π* 4r * h

                                             = 3 : 4

4sinθ – 1 = - 3 for 0<θ< 360

Answers

Answer:

[tex] \theta = 210^\circ [/tex] or [tex] \theta = 330^\circ [/tex]

Step-by-step explanation:

[tex] 4 \sin \theta - 1 = -3 [/tex]

[tex] 4 \sin \theta = -2 [/tex]

[tex] \sin \theta = \dfrac{-2}{4} [/tex]

[tex] \sin \theta = -0.5 [/tex]

For sin θ = 0.5, the reference angle is θ = 30 deg.

[tex] \sin 30^\circ = 0.5 [/tex]

[tex] \theta = 210^\circ [/tex] or [tex] \theta = 330^\circ [/tex]

What the answer now question correct answer fast

Answers

v = 17 is your answer as an intergers or as a decimal rounded to the nearest tenth

I WILL GIVE 20 POINTS!!! This three- dimensional figure is a triangular pyramid where the base and lateral are congruent equilateral triangles and the height of each triangular face 17.32 inches The surface are of the figure is Square inches

Answers

Answer:

Hey there!

The surface area of the triangular pyramid can be expressed as: 4 times the area of one triangle.

The area of one triangle is 17.32, so the total surface area is 69.28.

Hope this helps :)

The surface area of the triangular pyramid will be equal to 692.8 square inches.

What is surface area?

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

Given that:-

Three- dimensional figure is a triangular pyramid where the base and lateral are congruent equilateral triangles.The height of each triangular face is 17.32 inches

The formula for the surface area of the pyramid is given as follows;-


SA =  Base area + (1/2) [ Perimeter  x  Slant height ]

SA =  [ (1/2) x  20  x 17.32)]  + (1/2) [ 60   x   17.32 ) ]

SA=  [  173.2   +  519.6 ]

SA = 692.8 squarer inches

Therefore the surface area of the triangular pyramid will be equal to 692.8 square inches.

To know more about a surface area follow

https://brainly.com/question/25292087

#SPJ5

Please answer this question now

Answers

Answer:

m∠D = 94°

Step-by-step explanation:

Quadrilateral ABCD is also called a cyclic quadrilateral or a quadrilateral that is inscribed in a circle.

Opposite angles in a cyclic Quadrilateral are supplementary, i.e the sum of two opposite angles in a Quadrilateral = 180°

m∠A + m∠C = 180°

m∠A = 74°

74° + m∠C = 180°

m∠C = 180° - 74°

m∠C = 106°

In a cyclic quadrilateral, the total sum of the angles outside the circle = 360°

i.e =

m∠AB + m∠BC + mDC + mAD = 360°

m∠DAB= ( m∠C) × 2

= 106° × 2 = 212°

m∠DAB = m∠AD + m∠AB

m∠AD = 79°

212° = 79° + m∠AB

m∠AB = 212° - 79°

= 133°

m∠ABC = m∠AB + m∠BC

m∠AB = 133°

m∠BC= 55°

m∠ABC = 133° + 55°

= 188°

We are asked to find m∠D

m∠D = 1/2m∠ABC

m∠ABC = 188°

m∠D = 1/2 × 188°

m∠D = 94°

Therefore, m∠D = 94°

BOTS
TINSS
Self Mastery
1. Pak Kamil is a food committee member for a programme. He buys 10 kg of fish and 6 kg of vegetables for RM136 to
make a feast for the programme. He then adds 4 kg fish and 2 kg of vegetables for RM54. After experiencing some
technical problems, the programme had to be cancelled. If Pak Kamil sells all the fish and vegetables for RM8 and
RM0.50 per kilogram, respectively, what is the total loss experienced by Pak Kamil? Show your calculations.
TP 6​

Answers

Answer:

The total loss experienced by Pak kamil is RM74

Step-by-step explanation:

The cost of 10 kg and  6 kg of vegetables = RM 136

The cost of 4 kg fish and 2 kg of vegetables = RM 54

Amount for which the fish was sold = RM8 per kilogram

Amount for which the vegetables was sold = RM0.50 per kilogram

The total mass of the fish = 10 kg + 4 kg = 14 kg

The total mass of the vegetables = 6 kg + 2 kg = 8 kg

The amount for which the meat was sold = 14 kg × RM8/kg = RM112

The amount for which the fish was sold = 8 kg × RM0.50/kg = RM4

RM112 + RM4 = RM116

The total amount for which the fish and vegetable was sold = RM136 + RM54 = RM190

Therefore, the total loss experienced by Pak kamil = RM190 - RM116 = RM74.

yes help me please i need

Answers

The correct answer is C and E



Explain

A. 8x+4x=0

Now simply it

12x = 0

Now divide by 12 on both both side

X= 0

So this equation has the solution x= 0


B. 6x+2 = 4x+2+2x

Now both sides

6x+2=6x+2
Now simply by 6x+2 both sides

X= 0

So this equation has infinity solution


C. 4x-8x-3=6-4x

Now simply both sides

-4x-3=6-4x

Now simply

-3x=6

This equation have no solution


D. 5x+1 =1-5x


Now add 5x-1 on both sides


10=0
Now divide by 10

X= 0

This equation have solution x= 0


E. 12x-3-5x = 9+7x-6

Now simply both sides

7x-3= 7x+3

And subtract 7x from both sides

-3 = 3

So the equation has no solution


I hope this help you :D

Good luck



Simplify this expression: -2x + 3 – (5 – 6x).

Answers

Step-by-step explanation:

-2x + 3 – (5 – 6x)

=-2x + 3 - 5 + 6x

= 4x - 2

Answer:

4x - 2

Step-by-step explanation:

We have to combine the like terms which are -2x and 6x. We will get 4x. Next, we have to subtract 3 - 5 and we get -2. This brings us to the conclusion of 4x - 2.

Please help me with atleast some of them❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️

Answers

Answer:

1. 24 x

Step-by-step explanation:

Area = (6x +1)(6x-1)

which means

length = 6x+1

width = 6x -1

as perimeter = 2 (length + width)

                     = 2 (6x +1+6x -1)

                     = 2(12x)

                    =24x

find the 1000th term of the sequence below

Answers

Answer:

A. 7017

Step-by-step explanation:

common difference is 7

first term of the sequence is 24

by explicit formula a1 + ( n- 1)*d

24 + (1000-1)*7

24+999*7

24+6993

7017

Find the slope of the line that contains the following points. R(-3, 5), S(3, -2) 7/6 7/6 undefined

Answers

Answer:

-\frac{7}{6}

Step-by-step explanation:

We can use the slope formula for the segment that joins any two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex]:

[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

which in our case gives:

[tex]slope=\frac{y_2-y_1}{x_2-x_1} = \frac{-2-5}{3-(-3)}=\frac{-7}{6} =-\frac{7}{6}[/tex]

What is the height of the prism if there is 30 square centimeters and the volume is 90 cubic centimeters

Answers

Answer:

the height of the prism =3cm

Step-by-step explanation:

From the question :there is 30 square centimeters, we can deduce this is the area due to the unit

the volume is 90 cubic centimeters

Volume of prism = Area of base × height

We are to determine the height

90cm³ = 30cm² × height

divide both sides by 30cm²

height = 90cm³/30cm²

height = 3cm

Therefore the height of the prism is 3centimeters

What is the median number of words in Luis’s essays?

Answers

Answer:

The median number of words in Luis's essays is 205.5.

Step-by-step explanation:

To find the median number of words in Luis's essay, first arrange the values in the data set in ascending order:

177, 178, 189, 198, 198, 213, 221, 236, 245, 253.

Because the number of values in the data set is an even number (10), the median is the mean of the two middle values, the fifth and sixth values, in the data set. The fifth and sixth values are 198 and 213, respectively. So,

median .

The median number of words in Luis's essays is 205.5.

The median number of words in Luis's essays is 231.

What is the median of data?

The median is defined as the value range. To get it, arrange the numbers in ascending order from smallest to largest, then hide one number on either end until you reach the center.

The number of words in Luis's essays arranged in order from smallest to largest is:

177, 178, 189, 198, 198, 210, 213, 221, 228, 231, 231, 236, 236, 244, 245, 245, 245, 253, 259, 286

Since there are 20 numbers in the list, the median will be the average of the 10th and 11th numbers:

Median = [(n/2)th term + ((n/2) + 1)th term]/2

Median = [(20/2)th term + ((20/2) + 1)th term]/2

Median = [10th term + 11th term]/2

Median = [231 + 231]/2

Median = 462/2

Median = 231

Therefore, the median number of words in Luis's essays is 231.

Learn more about the median of data here:

brainly.com/question/28060453

#SPJ3

The complete question is as follows:

Luis and Darcy are required to write essays for their English class. The table shows the number of words t wrote for 10 randomly chosen essays. Complete the steps below to compare the number of words in Luis’s and Darcy's essays using the mean and the median. Luis Darcy 178 231 213 210 198 245 245 259 236 286 198 245 221 231 253 244 189 236 177 228. What is the median number of words in Luis’s essays?

Pls answer this ASAP I need it by the end of the day

Answers

Answer:

No

Step-by-step explanation:

Let's calculate sinA and sinB.

sinA = opposite / hypotenuse = 12 / 20

sinB = opposite / hypotenuse = 16 / 20

Since 12 / 20 ≠ 16 / 20, she is incorrect.

Simplfiy the expression 96 ÷4+5x2²

Answers

Answer:

44

Step-by-step explanation:

96 divided by 4 add 5 times 2 squared equals 44

Answer:

44

Step-by-step explanation:

BIDMAS

B: Brackets

I: Indices

D: Division

M: Multiplication

A: Addition

S: Subtraction

96 divided by 4 + 5 x 2^2

96 divided by 4 + 5 x 4

96 divided by 4 = 24

24 + 5 x 4

24 + 20

24 + 20 = 44

first person to answer what 4585 times 5645 CORRECT first gets brainiest

Answers

Answer: 25882325

Step-by-step explanation:

Simply do 4585*5645 in a calculator.

hope it helps <3

Answer:

Hey there!

The answer is 25882325.

Hope this helps :)

Figure ABCD is a parallelogram. Parallelogram A B C D is shown. Angle A is (4 p + 12) degrees and angle C is 36 degrees. What is the value of p? 6

Answers

Answer:

6

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

i checked on edge

I need help ASAP THANK YOU!!

Answers

Answer:

A. Volume: 819, Surface Area: 598

B. Surface area

C. Volume

Step-by-step explanation:

Sorry I'm late, but here I go.

The volume of a rectangular prism is [tex]lwh[/tex] or [tex]bh[/tex]. (l being length, w being width, and h being height.)

So if we multiply the 3 values of 13, 9, and 7, we get 819. This is the volume.

To find the surface area, we can take note that 4 sides are the exact same, and the remaining two are the same. Let's find the area of the top/bottom of the prism.

[tex]13\cdot9=117[/tex]

Since there are two, bottom and top:

[tex]117\cdot2 = 234[/tex].

Now, there are the remaining 4 sides. Let's find the area of one then multiply it by 4.

[tex]13\cdot7=91\\91\cdot4=364[/tex]

Adding 364 and 234 gets up 598, so this is the surface area.

If we are painting something, the surface area is being painted, as we can't paint inside the box. However if we fill up the box with something (concrete in this case), it will be the volume.

Hope this helped!  

Answer:

a.

v= 819 cm3

sa= 542 cm2

b. surface area

c. volume

Step-by-step explanation:

Volume of a rectangular prism: Length x width x height

Replacing with the values given:

V = 13 x 9 x 7 = 819 cm3

Surface area = S = 2 × (W × L + L × H + H × W)

S = 2 ( [9x13]+ [13 x7] +[7x9]) = 2 ( 117+91+63)= 542 cm2

b . Surface area, because we only have to paint the exterior of the brick.

c. Volume, because is the amount of concrete that the brick has.

Pls hurry! Will make brainliest!! What is the formula that relates circumference and diameter?

Answers

Answer:

Circumference = πd

where d = diameter

Step-by-step explanation:

When using this formula you don't need to multiply by 2 like you do when using the radius because the diameter is twice the radius of a circle.

Answer:

There are actually two formulas c=πd or pi=c/d.

Step-by-step explanation:

This is how they relate to each other. Let's say you were to isolate for pi. So, for 2pir, we have to divide both sides by 2r or the diameter. 2r=d because the diameter is equal to having two radii or radiuses. When you isolate pi, you will see that pi= to the circumference, c, divided by the diameter, d. Therefore, you can say that the circumference is approximately 3.14 or pi times greater than the diameter. In fact, that is what pi is. It is a ratio that shows the relationship between the circumference and the diameter. In other words, pi=c/d. Hope this helps!

BRAINLIEST, 5 STARS, THANKS AND 100 POINTS IF ANSWERED BOTH CORRECTLY. --------------------- Which function rule describes the pattern in the table? X: -2, -1, 0, 1, 2 Y: 3, 2, 1, 0, -1 A) y = x + 1 B) y = x - 1 C) y = -x + 1 D) y = -x - 1 --------------------- Which function rule describes the pattern in the table? X: -2, -1, 0, 1, 2 Y: 14, 11, 8, 5, 2 A) y = 3x + 8 B) y = -3x - 8 C) y = 3x - 8 D) y = -3x + 8 -------------------- Thank you if you answered both correctly!

Answers

Answer:

1: C) y = -x + 1

2: D) y = -3x + 8

Step-by-step explanation:

Well number 1,

c is the correct option because,

-2 -> 2

2+1 - 3

This rule applies for all the x values.

2,

X: -2, -1, 0, 1, 2

Y: 14, 11, 8, 5, 2

d is the correct option because -3*-2 is 6 + 8 = 14.

this rule applies for all x values.

Thus,

the answers are C and D.

Hope this helps :)

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