The probability that a morning bus arrives on time is 65%.
a Draw a tree diagram showing all the possible outcomes for three
consecutive mornings.

Answers

Answer 1

The attached diagram represents the tree diagram for three consecutive mornings.

How to draw the tree diagram?

The probability of arriving on time is given as:

P(On Time) = 65%

Assume that the bus would definitely show up.

Then it means that the event is a binomial event and the possible outcomes are:

On Time and Late

The above means that the number of possible outcomes is 2.

For three consecutive mornings, the total outcome is:

Total = 2³

Evaluate

Total = 8

This means that the tree diagram would have 8 outcomes

Next, we draw the tree diagram (see attachment)

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The Probability That A Morning Bus Arrives On Time Is 65%.a Draw A Tree Diagram Showing All The Possible

Related Questions

Which of the following represents y > 2x - 3?

Answers

Answer: Choice A

The two characteristics here are:

The boundary line is a dashed line. This visually indicates to the reader "points on the boundary do NOT count as solutions". Think of the boundary as an electric fence you cannot touch, but can get closer and closer to. We aren't including boundary points directly because of the lack of "or equal to". The shading is above the boundary, due to the "greater than" sign. This only works if we have y isolated.

The graph of choice B is [tex]y \le 2x-3[/tex] since we have a solid line and shading below the solid line. This time points on the boundary are part of the solution set.

Enzymatic browning, the darkening of cut fruit when exposed to the air, can be lessened by

a. cooking the fruit

b.dipping the fruit in a juice rich in vitamin c

c. freezing the fruit

d.dipping the fruit in chocolate

Answers

Answer: b dipping fruit in a juice rich in vitamin c

whats equlvlent to 3√6

Answers

Answer:

Important: 3

6

looks like a fraction, but it is actually an improper fraction.

There is an infinity number of equivalent fractions to 3

6

.

To find an equivalent fraction to 3

6

, or to any other fraction, you just need to multiply (or divide, if the fraction is not yet reduced), both the numerator and the denominator of the given fraction by any non-zero natural number. For example:

By dividing the original fraction by 3, we get:

3 ÷ 3

6 ÷ 3

= 1

2

By multiplying the original fraction by 2, we get:

3 × 2

6 × 2

= 6

12

Step-by-step explanation:

Part b
what is the area of the target that earns at least 30 points on a throw?

select the correct from the drop-down menu.

the area is ____ square inches.
a) 16
b) 49
c) 121
d) 144

Answers

Sorry but what’s the original question not just the part B
I would be happy to answer!!!


please help me out :(​

Answers

Answer:

The correct answer is B.

Step-by-step explanation:

Pay per month depends on hours of training, so hours of training is the domain, and pay per month is the range.

If a plumber chargers a call out fee of $85 plus $72 per hour how much would it cost for 3 hours?
Show working out pls

Answers

Answer:

$301

Step-by-step explanation:

 Charge for 1 hour = $ 72

To find the cost for 3 hours, multiply hourly rate ($72) by 3

Charge for 3 hours = 72 * 3  = $ 216

Now, to find the total cost, add the charge for 3 hours and the fixed rate.

Total cost = fixed rate + charge for 3 hours

                = 85 + 216

                = $ 301

Question 10 of 20
Which polynomial shows the difference of (4x² + 3x - 2) and (x²+2x+4)?
OA. 3x²+x-8
B. 3x²+x+2
OC. 3x² + 5x+2
OD. 3x²+x-6

Answers

Answer:

D.3x²+x-6

Step-by-step explanation:

4x²-x²+3x-2x-2-4

3x²+x-6

In triangle ABC, m∠A=47∘ and m∠B=70∘. What is the measure of angle C?

Answers

Answer:

63

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

An equation in the form ax2+bx+c=0 is solved by the quadratic formula. The solution to the equation is shown below.x=−7±√ "572" What are the values of a, b, and c in the quadratic equation?

A: a= 1, b= -7, c = -2
B: a = 1, b= 7, c = -2
C: a = 2, b = -7, c = -1
D: a = 2, b = 7, c = -1

Answers

Question has errors in typing that 572 should be √57/2

Because if it's 572 then 2a=1 so

a=1/2

Also

-7=1/2bb=-7(2)b=-14

c also comes different

If it's like what I said

then

2a=2a=1

and

-b=-7b=7

By putting values

c=-2

Option B can be correct

Answer:

B: a = 1, b= 7, c = -2

Step-by-step explanation:

Quadratic Formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]

Given:

[tex]x=\dfrac{-7\pm\sqrt{57}}{2}[/tex]

Comparing the terms of the given x-value with those of the quadratic formula:

[tex]\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}=\dfrac{-7\pm\sqrt{57}}{2}[/tex]

Therefore:

[tex]2a=2 \implies a=1[/tex][tex]b = 7[/tex][tex]b^2-4ac=57[/tex]

Using the found values of a and b to solve for c:

[tex]\implies b^2-4ac=57[/tex]

[tex]\implies (7)^2-4(1)c=57[/tex]

[tex]\implies 49-4c=57[/tex]

[tex]\implies -4c=57-49[/tex]

[tex]\implies -4c=8[/tex]

[tex]\implies c=-2[/tex]

In summary:   a = 1,  b = 7,  c = -2

[tex]\implies x^2+7x-2=0[/tex]

Therefore, option B is the correct solution.

find the 5th term of the GP is 48 and it 8th term is 384. find the first term and the common​

Answers

Answer:

[tex]\text{1st term} = 3\\\\\text{Common ratio} = 2[/tex]

Step by step explanation:

[tex]\text{Given that,}\\\\\text{5th term} = ar^{5-1} = ar^4 = 48~~~~~~~~...(i)\\ \\\text{8th term} = ar^{8-1} = ar^7 = 384~~~~~~~...(ii)\\\\\text{1st term,}~ a = ?\\\\\text{Common ratio,}~ r = ?\\\\(ii) \div (i):\\\\~~~~~~\dfrac{ar^7}{ar^4}=\dfrac{384}{48}\\\\\implies r^{7-4} = 8\\\\\implies r^3 = 8\\\\\implies r^3 = 2^3\\\\\implies r =2\\\\\text{Substitute r = 2 in eq (i):}\\\\~~~~~~a\cdot 2^4 = 48\\\\\implies 16a =48\\\\\implies a = \dfrac{48}{16}\\\\\implies a = 3\\[/tex]

Solve for x. 3x/−8=−2/14

Answers

Answer:

4.14

Step-by-step explanation:

3x : -2

-8 14

cross multiply

3x × 14 : -2 × 8

42 + 14x : -16

42+ 16 : 14x

58 : 14x

58 : x

14

4.14 : x

solve 2(4x-3) = 5(2x-5)

Answers

Answer:

x = 19/2 or 9.5

Step-by-step explanation:

Hello!

We can distribute the parenthesis and solve.

Solve2(4x - 3) = 5(2x - 5)2(4x) - 2(3) = 5(2x) - 5(5)8x - 6 = 10x - 25

Move all x terms to one side and integer terms to the other

8x - 6 = 10x - 25-6 + 25 = 10x - 8x19 = 2xx = 19/2x = 9.5

( geometry) Find the area of a regular hexagon whose sides are 22.6 cm, and whose apothem is 19.6 cm.

Answers

Answer:

1328.88 cm^2

Step-by-step explanation:

Area = 6 * 1/2 * 22.6 * 19.6

= 1328.88 cm^2

In a city park, three walking paths form triangle ABC. The length AB is 800 meters, the length BC is 900 meters, and the length AC is 850 meters. Which angle of this triangle has the greatest measure?

Answers

Answer:

Step-by-step explanation:

angle c

The angle of the triangle with the greatest measure is ∠A

What is a triangle?

A triangle is a polygon with three sides and three angles.

Analysis:

For the triangle, ABC the angle facing the side with the greatest measure is the angle with the greatest measure. From the given information side BC is the side with the greatest measure and the angle facing it is ∠A.

In conclusion, the angle with the greatest measure is ∠A

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Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. X = t5 1, y = t6 t; t = −1

Answers

The equation of the tangent to the curve at the point corresponding to the given value of the parameter will be x + y = c.

How to calculate the tangent of the parameter curves at a point?

The curves are given below.

x = t⁵ + 1 and y = t⁶ + t

Then differentiate the functions with respect to t, then we have

[tex]\rm \dfrac{dx}{dt} = 5t^4\\[/tex]   ...1

and

[tex]\rm \dfrac{dy}{dt} = 6t^5 + 1[/tex]   ...2

Divide equation 2 by equation 1, then we have

[tex]\rm \dfrac{\dfrac{dy}{dt} }{\dfrac{dx}{dt} } = \dfrac{dy}{dx} = \dfrac{6t^5 + 1}{5t^4}[/tex]

Then the slope of the equation at t = −1, then we have

dy/dx = [6(-1)⁵ + 1]/[5(-1)⁴]

dy/dx = (-6+1)/5

dy/dx = -5/5

dy/dx = -1

Then the equation of the tangent line will be

y = -x + c

x + y = c

Where c is a constant.

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1. the prices for 6 different jerseys are
$98, $85, $34, $79, $85, and $92.
what is the outlier in the data set?

Answers

Answer:

Step-by-step explanation:

8

i need help finding out the answer

Answers

Answer:

D) 5.7 cm

Step-by-step explanation:

Let the shorter sides be x.

Given:

Isosceles and acute triangle.Longer side is 8 cm.

To find:

The length of the shorter sides, rounded to the nearest tenth.

Solution:

The angle at common vertex of congruent sides is less than 90°, since it is acute triangle.

It means the other congruent angles are greater than 45°, according to angle sum theorem.

The vertical bisector divides the triangle in half, with base 8/2 = 4 cm and hypotenuse x.

It gives us the inequality:

4/x < cos 45° ⇒ x > 4 / cos 45° = 5.656 x ≥ 5.7 cm

Correct choice is D

Jamaal and his father have 1,920 stamps from around the world. They want to place the stamps in display cases that each hold 72 stamps. How many display cases can Jamaal and his father completely fill with the stamps?

Answers

Answer:

26 display cases

Please give brainliest!
Hope this helps :)

if Jamaal has 1920 stamps, and he wants to place them in diplay cases that can each hold 72 stamps, we figure out how many display cases can be filled with stamps by finding out 1920/72

This gives us 26 2/3, but 2/3 isn't 1.

he can fill 26 cases

4 x 12 = 6 x n 4
6
8
12

Answers

Answer:

2 I believe

Step-by-step explanation:

you do 4x12 then divide it by 6x4 then it would be n equals 2

48x=23x
48x-24x=0
24x=0
X=0

Saif is building a rectangular pen for his dog. the dimensions are 15 units long and 7 units wide. saif is building a second pen that is 75% the length of the original and 125% the width of the original. write an equation to determine the length of the second pen. what is the length of the second pen? . .

Answers

The length of the second pen is 11.25 units.

What is a Rectangle ?

A rectangle is a polygon with four sides , the opposite sides are parallel and equal .

it is given in the question that

Saif is building a rectangular pen for his dog. the dimensions are 15 units long and 7 units wide

length new = 75% length initial

Length new = (75/100) * 15

Length new = 0.75 * 15

Length new = 11.25 units

The length of the second pen is 11.25 units.

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A force F, of 25 newtons pulls at an angle of 20° above due east
A force F₂ of 35 newtons pulls at an angle of 55° below due west
Find the magnitude and direction of the resultant force

Answers

A force F, of 25 newtons pulls at an angle of 20° above due east

A force F₂ of 35 newtons pulls at an angle of 55° below due west

Find the magnitude and direction of the resultant force

Mary measured the heights of two different plants every day. Plant A was 1 inch tall when
Mary began her measuring, and it grew 0.5 inch per day. Plant B was 3 inches tall, and it grew
0.25 inch per day. On which day were plant A and plant B the same height?
A day 5
B.
day 8
C. day 12
D.
day 16

Answers

The heights of plant A and plant B will be equal on the day 8.

How to find the heights of the trees?

The height of the tree can be found as follows:

The equation for plant A can be described as follows:

y = 1 + 0.5x

where

x = number of days

y = height

The equation for plant B can be described as follows:

y = 3 + 0.25x

Therefore, for the height to be equal

1 + 0.5x =  3 + 0.25x

1 - 3 = 0.25x  - 0.5x

-2 = -0.25x

x = 2 / 0.25

x = 8 days

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Graph the function f(x) = 5(0.21)x.

Answers

here’s the graph for the function

Answer: A

Step-by-step explanation: BIG BRAIN

multiply (x^2 - 5x)(2x^2 + x - 3)

Answers

Answer:

[tex]\textbf{C.}~2x^4 -9x^3-8x^2 +15x[/tex]

Step-by-step explanation:

[tex]~~~~(x^2 -5x)(2x^2 +x-3)\\\\=2x^4+x^3 -3x^2 -10x^3 -5x^2 +15x\\\\=2x^4 -9x^3-8x^2 +15x[/tex]

ramon ate at a restaurant and gave the server a $4 tip the tip was 20% of the cost of the meal how much was the meal

Answers

Answer:

The meal was $20

Step-by-step explanation:

20%= 1/5

1/5=4/? ---> one converts to four by multiplying it by 4 so you should do the the same with the denominator which is five.

5×4= 20

The angle by which turns clockwise about point b to coincide with is degrees. if from point b, a point e is drawn directly opposite point c so that b, e, and c are on the same straight line, the angle by which turns counterclockwise to coincide with is degrees.

Answers

The first drop-down menu answer is 63.9 And the second drop-down menu answer is 116.1

The complete question is as given below:-

The angle by which turns clockwise about point B to coincide with is degrees. If from point B, a point E is drawn directly opposite point C so that B, E, and C are on the same straight line, the angle by which turns counterclockwise to coincide with is degrees.

What is an angle?

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

I have attached the figure for this problem and there are two questions for this problem. The first is the angle needed for AB to turn to coincide with BC.

Simply, get add the measures of the angles ABD and DBC. So,

33.3 + 30.6 = 63.6 degrees

The second question is the angle needed for AB to turn to coincide with EB. Angle EBA is complementary with angle ABC. So,

180 - 63.6 = 116.4 degrees

Therefore for first drop-down menu answer is 63.9 And the second drop-down menu answer is 116.1

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Answer:

90

Step-by-step explanation:

90

determine whether sec x -tanxsinx=cosx is a possible identity

Answers

[tex]\text{L.H.S}\\\\\sec x - \tan x \sin x\\\\\\=\dfrac{1}{\cos x}- \dfrac{\sin x }{ \cos x } \cdot \sin x\\\\\\=\dfrac 1{\cos x} - \dfrac{\sin^2 x}{\cos x}\\\\\\=\dfrac{1- \sin^2 x}{\cos x}\\\\\\=\dfrac{\cos^2 x}{\cos x}~~~~~~~~~~~~~;[\sin^2 x + \cos^2 x = 1]\\\\\\=\cos x\\\\\\=\text{R.H.S}\\\\\text{Since both sides are equal, the given equation is an identity.}[/tex]

A water sprinkler sends water out in a circular pattern. How many feet away from the sprinkler can it spread water if the area formed by the watering pattern is452.16 square​ feet? Use 3.14 for .

Answers

We need radius

Let that be r

πr²=452.163.14r²=452.16r²=144r=√144r=12ft

Answer:

12 feet

Step-by-step explanation:

It asks how many feet away from the sprinkler can water be spread. Therefore, in this scenario, we require the radius.

Area of a circle :

Area (circle) = πr²

Solving :

⇒ 452.16 = 3.14 × r²

⇒ r² = 452.16 ÷ 3.14

⇒ r = √144

⇒ r = 12 feet

a letter is chosen from the nine letters in the word "bumblebee." what is the probability the letter is a b or an e?

statistics and probability

Answers

Answer:

2/3

Step-by-step explanation:

Probability (b or e) :

⇒ There are 3 b's and 3 e's in the word "bumblebee"

⇒ P (b or e) = No. of b's and e's / Total letters

⇒ P (b or e) = 3 + 3 / 9

⇒ P (b or e) = 6/9

⇒ P (b or e) = 2/3

6x-2=8x-8 please i forgot how you do this

Answers

Answer:

x = 3

Step-by-step explanation:

6x - 2 = 8x - 8 ( subtract 8x from both sides )

- 2x - 2 = - 8 ( add 2 to both sides )

- 2x = - 6 ( divide both sides by - 2 )

x = 3

Answer:

x=3

Step-by-step explanation:

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